TSTP Solution File: SEU149+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU149+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 15:49:06 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 7 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 31 ( 4 avg)
% Number of connectives : 91 ( 34 ~; 43 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 24 ( 2 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d1_tarski,plain,
! [C,B,A] :
( ( in(C,B)
| ~ $equal(A,C)
| ~ $equal(singleton(A),B) )
& ( ~ in(C,B)
| $equal(A,C)
| ~ $equal(singleton(A),B) )
& ( $equal(c(A,B,C),A)
| ~ $equal(c(A,B,C),A)
| $equal(singleton(A),B) )
& ( ~ in(c(A,B,C),B)
| ~ $equal(c(A,B,C),A)
| $equal(singleton(A),B) )
& ( $equal(c(A,B,C),A)
| in(c(A,B,C),B)
| $equal(singleton(A),B) )
& ( ~ in(c(A,B,C),B)
| in(c(A,B,C),B)
| $equal(singleton(A),B) ) ),
file('/tmp/SystemOnTPTP12356/SEU149+1.p',unknown),
[] ).
cnf(159869432,plain,
( in(C,B)
| ~ $equal(A,C)
| ~ $equal(singleton(A),B) ),
inference(rewrite,[status(thm)],[d1_tarski]),
[] ).
cnf(171130216,plain,
in(A,singleton(A)),
inference(equality_resolution,[status(thm)],[159869432]),
[] ).
fof(d2_tarski,plain,
! [B,D,C,A] :
( ( ~ $equal(B,D)
| in(D,C)
| ~ $equal(unordered_pair(A,B),C) )
& ( ~ $equal(A,D)
| in(D,C)
| ~ $equal(unordered_pair(A,B),C) )
& ( ~ in(D,C)
| $equal(A,D)
| $equal(B,D)
| ~ $equal(unordered_pair(A,B),C) )
& ( $equal(d(A,B,C,D),A)
| $equal(d(A,B,C,D),B)
| ~ $equal(d(A,B,C,D),A)
| $equal(unordered_pair(A,B),C) )
& ( ~ in(d(A,B,C,D),C)
| ~ $equal(d(A,B,C,D),A)
| $equal(unordered_pair(A,B),C) )
& ( $equal(d(A,B,C,D),A)
| $equal(d(A,B,C,D),B)
| ~ $equal(d(A,B,C,D),B)
| $equal(unordered_pair(A,B),C) )
& ( ~ in(d(A,B,C,D),C)
| ~ $equal(d(A,B,C,D),B)
| $equal(unordered_pair(A,B),C) )
& ( $equal(d(A,B,C,D),A)
| $equal(d(A,B,C,D),B)
| in(d(A,B,C,D),C)
| $equal(unordered_pair(A,B),C) )
& ( ~ in(d(A,B,C,D),C)
| in(d(A,B,C,D),C)
| $equal(unordered_pair(A,B),C) ) ),
file('/tmp/SystemOnTPTP12356/SEU149+1.p',unknown),
[] ).
cnf(159910400,plain,
( ~ $equal(A,D)
| in(D,C)
| ~ $equal(unordered_pair(A,B),C) ),
inference(rewrite,[status(thm)],[d2_tarski]),
[] ).
cnf(177061912,plain,
in(A,unordered_pair(A,B)),
inference(equality_resolution,[status(thm)],[159910400]),
[] ).
cnf(159857528,plain,
( ~ in(C,B)
| $equal(A,C)
| ~ $equal(singleton(A),B) ),
inference(rewrite,[status(thm)],[d1_tarski]),
[] ).
cnf(170879976,plain,
( ~ in(B,singleton(A))
| $equal(A,B) ),
inference(equality_resolution,[status(thm)],[159857528]),
[] ).
fof(t8_zfmisc_1,plain,
( $equal(unordered_pair(b,c),singleton(a))
& ~ $equal(b,a) ),
file('/tmp/SystemOnTPTP12356/SEU149+1.p',unknown),
[] ).
cnf(159982608,plain,
$equal(unordered_pair(b,c),singleton(a)),
inference(rewrite,[status(thm)],[t8_zfmisc_1]),
[] ).
cnf(171075336,plain,
( ~ in(A,unordered_pair(b,c))
| $equal(a,A) ),
inference(paramodulation,[status(thm)],[170879976,159982608,theory(equality)]),
[] ).
cnf(177726840,plain,
$equal(a,b),
inference(resolution,[status(thm)],[177061912,171075336]),
[] ).
cnf(159975320,plain,
~ $equal(b,a),
inference(rewrite,[status(thm)],[t8_zfmisc_1]),
[] ).
cnf(170435552,plain,
( ~ in(a,A)
| ~ $equal(singleton(b),A) ),
inference(resolution,[status(thm)],[159857528,159975320]),
[] ).
cnf(170991232,plain,
~ in(a,singleton(b)),
inference(equality_resolution,[status(thm)],[170435552]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[171130216,177726840,170991232,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d1_tarski,plain,(((in(C,B)|~$equal(A,C)|~$equal(singleton(A),B))&(~in(C,B)|$equal(A,C)|~$equal(singleton(A),B))&($equal(c(A,B,C),A)|~$equal(c(A,B,C),A)|$equal(singleton(A),B))&(~in(c(A,B,C),B)|~$equal(c(A,B,C),A)|$equal(singleton(A),B))&($equal(c(A,B,C),A)|in(c(A,B,C),B)|$equal(singleton(A),B))&(~in(c(A,B,C),B)|in(c(A,B,C),B)|$equal(singleton(A),B)))),file('/tmp/SystemOnTPTP12356/SEU149+1.p',unknown),[]).
%
% cnf(159869432,plain,(in(C,B)|~$equal(A,C)|~$equal(singleton(A),B)),inference(rewrite,[status(thm)],[d1_tarski]),[]).
%
% cnf(171130216,plain,(in(A,singleton(A))),inference(equality_resolution,[status(thm)],[159869432]),[]).
%
% fof(d2_tarski,plain,(((~$equal(B,D)|in(D,C)|~$equal(unordered_pair(A,B),C))&(~$equal(A,D)|in(D,C)|~$equal(unordered_pair(A,B),C))&(~in(D,C)|$equal(A,D)|$equal(B,D)|~$equal(unordered_pair(A,B),C))&($equal(d(A,B,C,D),A)|$equal(d(A,B,C,D),B)|~$equal(d(A,B,C,D),A)|$equal(unordered_pair(A,B),C))&(~in(d(A,B,C,D),C)|~$equal(d(A,B,C,D),A)|$equal(unordered_pair(A,B),C))&($equal(d(A,B,C,D),A)|$equal(d(A,B,C,D),B)|~$equal(d(A,B,C,D),B)|$equal(unordered_pair(A,B),C))&(~in(d(A,B,C,D),C)|~$equal(d(A,B,C,D),B)|$equal(unordered_pair(A,B),C))&($equal(d(A,B,C,D),A)|$equal(d(A,B,C,D),B)|in(d(A,B,C,D),C)|$equal(unordered_pair(A,B),C))&(~in(d(A,B,C,D),C)|in(d(A,B,C,D),C)|$equal(unordered_pair(A,B),C)))),file('/tmp/SystemOnTPTP12356/SEU149+1.p',unknown),[]).
%
% cnf(159910400,plain,(~$equal(A,D)|in(D,C)|~$equal(unordered_pair(A,B),C)),inference(rewrite,[status(thm)],[d2_tarski]),[]).
%
% cnf(177061912,plain,(in(A,unordered_pair(A,B))),inference(equality_resolution,[status(thm)],[159910400]),[]).
%
% cnf(159857528,plain,(~in(C,B)|$equal(A,C)|~$equal(singleton(A),B)),inference(rewrite,[status(thm)],[d1_tarski]),[]).
%
% cnf(170879976,plain,(~in(B,singleton(A))|$equal(A,B)),inference(equality_resolution,[status(thm)],[159857528]),[]).
%
% fof(t8_zfmisc_1,plain,(($equal(unordered_pair(b,c),singleton(a))&~$equal(b,a))),file('/tmp/SystemOnTPTP12356/SEU149+1.p',unknown),[]).
%
% cnf(159982608,plain,($equal(unordered_pair(b,c),singleton(a))),inference(rewrite,[status(thm)],[t8_zfmisc_1]),[]).
%
% cnf(171075336,plain,(~in(A,unordered_pair(b,c))|$equal(a,A)),inference(paramodulation,[status(thm)],[170879976,159982608,theory(equality)]),[]).
%
% cnf(177726840,plain,($equal(a,b)),inference(resolution,[status(thm)],[177061912,171075336]),[]).
%
% cnf(159975320,plain,(~$equal(b,a)),inference(rewrite,[status(thm)],[t8_zfmisc_1]),[]).
%
% cnf(170435552,plain,(~in(a,A)|~$equal(singleton(b),A)),inference(resolution,[status(thm)],[159857528,159975320]),[]).
%
% cnf(170991232,plain,(~in(a,singleton(b))),inference(equality_resolution,[status(thm)],[170435552]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[171130216,177726840,170991232,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------