%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU122+2 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 15:47:14 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 7 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-3 aty)
% Number of variables : 12 ( 4 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d3_tarski,plain,
! [A,B,C] :
( ( ~ subset(A,B)
| ~ in(C,A)
| in(C,B) )
& ( ~ in(c(A,B,C),B)
| subset(A,B) )
& ( in(c(A,B,C),A)
| subset(A,B) ) ),
file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),
[] ).
cnf(142951256,plain,
( in(c(A,B,C),A)
| subset(A,B) ),
inference(rewrite,[status(thm)],[d3_tarski]),
[] ).
fof(t7_boole,plain,
! [A,B] :
( ~ in(A,B)
| ~ empty(B) ),
file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),
[] ).
cnf(143160528,plain,
( ~ in(A,B)
| ~ empty(B) ),
inference(rewrite,[status(thm)],[t7_boole]),
[] ).
fof(fc1_xboole_0,plain,
empty(empty_set),
file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),
[] ).
cnf(143043784,plain,
empty(empty_set),
inference(rewrite,[status(thm)],[fc1_xboole_0]),
[] ).
cnf(151022752,plain,
~ in(A,empty_set),
inference(resolution,[status(thm)],[143160528,143043784]),
[] ).
cnf(151110248,plain,
subset(empty_set,A),
inference(resolution,[status(thm)],[142951256,151022752]),
[] ).
fof(t2_xboole_1,plain,
~ subset(empty_set,a),
file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),
[] ).
cnf(143101584,plain,
~ subset(empty_set,a),
inference(rewrite,[status(thm)],[t2_xboole_1]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[151110248,143101584]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d3_tarski,plain,(((~subset(A,B)|~in(C,A)|in(C,B))&(~in(c(A,B,C),B)|subset(A,B))&(in(c(A,B,C),A)|subset(A,B)))),file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),[]).
%
% cnf(142951256,plain,(in(c(A,B,C),A)|subset(A,B)),inference(rewrite,[status(thm)],[d3_tarski]),[]).
%
% fof(t7_boole,plain,(~in(A,B)|~empty(B)),file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),[]).
%
% cnf(143160528,plain,(~in(A,B)|~empty(B)),inference(rewrite,[status(thm)],[t7_boole]),[]).
%
% fof(fc1_xboole_0,plain,(empty(empty_set)),file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),[]).
%
% cnf(143043784,plain,(empty(empty_set)),inference(rewrite,[status(thm)],[fc1_xboole_0]),[]).
%
% cnf(151022752,plain,(~in(A,empty_set)),inference(resolution,[status(thm)],[143160528,143043784]),[]).
%
% cnf(151110248,plain,(subset(empty_set,A)),inference(resolution,[status(thm)],[142951256,151022752]),[]).
%
% fof(t2_xboole_1,plain,(~subset(empty_set,a)),file('/tmp/SystemOnTPTP9506/SEU122+2.p',unknown),[]).
%
% cnf(143101584,plain,(~subset(empty_set,a)),inference(rewrite,[status(thm)],[t2_xboole_1]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[151110248,143101584]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------