%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU139+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 15:48:23 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 31 ( 14 ~; 12 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d8_xboole_0,plain,
! [B,A] :
( ( ~ $equal(B,A)
| ~ proper_subset(A,B) )
& ( subset(A,B)
| ~ proper_subset(A,B) )
& ( proper_subset(A,B)
| ~ subset(A,B)
| $equal(B,A) ) ),
file('/tmp/SystemOnTPTP1986/SEU139+2.p',unknown),
[] ).
cnf(166767688,plain,
( subset(A,B)
| ~ proper_subset(A,B) ),
inference(rewrite,[status(thm)],[d8_xboole_0]),
[] ).
fof(t60_xboole_1,plain,
( subset(a,b)
& proper_subset(b,a) ),
file('/tmp/SystemOnTPTP1986/SEU139+2.p',unknown),
[] ).
cnf(167360168,plain,
proper_subset(b,a),
inference(rewrite,[status(thm)],[t60_xboole_1]),
[] ).
cnf(178156496,plain,
subset(b,a),
inference(resolution,[status(thm)],[166767688,167360168]),
[] ).
fof(d10_xboole_0,plain,
! [B,A] :
( ( subset(B,A)
| ~ $equal(B,A) )
& ( subset(A,B)
| ~ $equal(B,A) )
& ( $equal(B,A)
| ~ subset(A,B)
| ~ subset(B,A) ) ),
file('/tmp/SystemOnTPTP1986/SEU139+2.p',unknown),
[] ).
cnf(166815472,plain,
( $equal(B,A)
| ~ subset(A,B)
| ~ subset(B,A) ),
inference(rewrite,[status(thm)],[d10_xboole_0]),
[] ).
cnf(167367888,plain,
subset(a,b),
inference(rewrite,[status(thm)],[t60_xboole_1]),
[] ).
cnf(178237328,plain,
$equal(a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178156496,166815472,167367888]),
[] ).
cnf(167068440,plain,
( ~ $equal(B,A)
| ~ proper_subset(A,B) ),
inference(rewrite,[status(thm)],[d8_xboole_0]),
[] ).
cnf(178184096,plain,
~ $equal(a,b),
inference(resolution,[status(thm)],[167068440,167360168]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[178237328,178184096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d8_xboole_0,plain,(((~$equal(B,A)|~proper_subset(A,B))&(subset(A,B)|~proper_subset(A,B))&(proper_subset(A,B)|~subset(A,B)|$equal(B,A)))),file('/tmp/SystemOnTPTP1986/SEU139+2.p',unknown),[]).
%
% cnf(166767688,plain,(subset(A,B)|~proper_subset(A,B)),inference(rewrite,[status(thm)],[d8_xboole_0]),[]).
%
% fof(t60_xboole_1,plain,((subset(a,b)&proper_subset(b,a))),file('/tmp/SystemOnTPTP1986/SEU139+2.p',unknown),[]).
%
% cnf(167360168,plain,(proper_subset(b,a)),inference(rewrite,[status(thm)],[t60_xboole_1]),[]).
%
% cnf(178156496,plain,(subset(b,a)),inference(resolution,[status(thm)],[166767688,167360168]),[]).
%
% fof(d10_xboole_0,plain,(((subset(B,A)|~$equal(B,A))&(subset(A,B)|~$equal(B,A))&($equal(B,A)|~subset(A,B)|~subset(B,A)))),file('/tmp/SystemOnTPTP1986/SEU139+2.p',unknown),[]).
%
% cnf(166815472,plain,($equal(B,A)|~subset(A,B)|~subset(B,A)),inference(rewrite,[status(thm)],[d10_xboole_0]),[]).
%
% cnf(167367888,plain,(subset(a,b)),inference(rewrite,[status(thm)],[t60_xboole_1]),[]).
%
% cnf(178237328,plain,($equal(a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178156496,166815472,167367888]),[]).
%
% cnf(167068440,plain,(~$equal(B,A)|~proper_subset(A,B)),inference(rewrite,[status(thm)],[d8_xboole_0]),[]).
%
% cnf(178184096,plain,(~$equal(a,b)),inference(resolution,[status(thm)],[167068440,167360168]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[178237328,178184096]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------