Prover9 Job

Prover9 (32) version Aug-2007, Aug 2007.
Process 11823 was started by dwheeler on dwheeler2-pc.itsd.ida.org,
Tue Nov 20 15:20:36 2007
The command was "prover9 -t 60 -f cP-corresponds-sP.in".

This page was generated from file cP-corresponds-sP.out.

Number of proofs here: 1.

Proof 1

% Proof 1 at 0.00 (+ 0.00) seconds: cP_corresponds_to_sP.
% Length of proof is 10.
% Level of proof is 3.
% Maximum clause weight is 10.
% Given clauses 0.
1 (all A accurately_translates(cGP,lsP,sP,A,eP,eA)) # label(cGP_compiles_sP) # label(non_clause) [ assumption ]
2 accurately_translates(A,B,C,D,E,F) -> exactly_correspond(compile(C,A,D,E,F),C,B,F) # label(define_exactly_correspond) # label(non_clause) [ assumption ]
3 exactly_correspond(cP,sP,lsP,eA) # label(cP_corresponds_to_sP) # label(non_clause) # label(goal) [ goal ]
4 -accurately_translates(A,B,C,D,E,F) | exactly_correspond(compile(C,A,D,E,F),C,B,F) # label(define_exactly_correspond) [ clausify 2 ]
5 accurately_translates(cGP,lsP,sP,A,eP,eA) # label(cGP_compiles_sP) [ clausify 1 ]
6 cP = compile(sP,cGP,ePeffects,eP,eA) # label(definition_cP) [ assumption ]
7 -exactly_correspond(cP,sP,lsP,eA) # label(cP_corresponds_to_sP) # answer(cP_corresponds_to_sP) [ deny 3 ]
8 -exactly_correspond(compile(sP,cGP,ePeffects,eP,eA),sP,lsP,eA) [ para 6 7 ]
9 exactly_correspond(compile(sP,cGP,A,eP,eA),sP,lsP,eA) [ resolve 4 5 ]
10 $F # answer(cP_corresponds_to_sP) [ resolve 9 8 ]