TSTP Solution File: GRP007-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GRP007-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 12:17:34 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(total_function2,plain,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(A,B,D)
| $equal(D,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),
[] ).
cnf(150899424,plain,
( ~ product(A,B,C)
| ~ product(A,B,D)
| $equal(D,C) ),
inference(rewrite,[status(thm)],[total_function2]),
[] ).
fof(another_left_identity,plain,
! [A] : product(c,A,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),
[] ).
cnf(150917736,plain,
product(c,A,A),
inference(rewrite,[status(thm)],[another_left_identity]),
[] ).
cnf(158885792,plain,
( ~ product(c,A,B)
| $equal(B,A) ),
inference(resolution,[status(thm)],[150899424,150917736]),
[] ).
fof(right_identity,plain,
! [A] : product(A,identity,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),
[] ).
cnf(150877080,plain,
product(A,identity,A),
inference(rewrite,[status(thm)],[right_identity]),
[] ).
cnf(158898672,plain,
$equal(c,identity),
inference(resolution,[status(thm)],[158885792,150877080]),
[] ).
fof(prove_identity_equals_c,plain,
~ $equal(c,identity),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),
[] ).
cnf(150925864,plain,
~ $equal(c,identity),
inference(rewrite,[status(thm)],[prove_identity_equals_c]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[158898672,150925864]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(total_function2,plain,(~product(A,B,C)|~product(A,B,D)|$equal(D,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),[]).
%
% cnf(150899424,plain,(~product(A,B,C)|~product(A,B,D)|$equal(D,C)),inference(rewrite,[status(thm)],[total_function2]),[]).
%
% fof(another_left_identity,plain,(product(c,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),[]).
%
% cnf(150917736,plain,(product(c,A,A)),inference(rewrite,[status(thm)],[another_left_identity]),[]).
%
% cnf(158885792,plain,(~product(c,A,B)|$equal(B,A)),inference(resolution,[status(thm)],[150899424,150917736]),[]).
%
% fof(right_identity,plain,(product(A,identity,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),[]).
%
% cnf(150877080,plain,(product(A,identity,A)),inference(rewrite,[status(thm)],[right_identity]),[]).
%
% cnf(158898672,plain,($equal(c,identity)),inference(resolution,[status(thm)],[158885792,150877080]),[]).
%
% fof(prove_identity_equals_c,plain,(~$equal(c,identity)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP007-1.tptp',unknown),[]).
%
% cnf(150925864,plain,(~$equal(c,identity)),inference(rewrite,[status(thm)],[prove_identity_equals_c]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[158898672,150925864]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------