TSTP Solution File: SEU120+2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU120+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 15:46:48 EDT 2009
% Result : Theorem 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 47 ( 21 ~; 19 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 5 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t4_xboole_0,plain,
! [C] :
( ( disjoint(a,b)
| ~ disjoint(a,b) )
& ( in(c(C),set_intersection2(a,b))
| ~ disjoint(a,b) )
& ( disjoint(a,b)
| ~ in(C,set_intersection2(a,b)) )
& ( in(c(C),set_intersection2(a,b))
| ~ in(C,set_intersection2(a,b)) ) ),
file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),
[] ).
cnf(146113808,plain,
( disjoint(a,b)
| ~ in(C,set_intersection2(a,b)) ),
inference(rewrite,[status(thm)],[t4_xboole_0]),
[] ).
fof(d7_xboole_0,plain,
! [A,B] :
( ( ~ disjoint(A,B)
| $equal(empty_set,set_intersection2(A,B)) )
& ( disjoint(A,B)
| ~ $equal(empty_set,set_intersection2(A,B)) ) ),
file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),
[] ).
cnf(145953976,plain,
( ~ disjoint(A,B)
| $equal(empty_set,set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[d7_xboole_0]),
[] ).
fof(d1_xboole_0,plain,
! [A,B] :
( ( ~ $equal(empty_set,A)
| ~ in(B,A) )
& ( $equal(empty_set,A)
| in(b(A,B),A) ) ),
file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),
[] ).
cnf(145889272,plain,
( ~ $equal(empty_set,A)
| ~ in(B,A) ),
inference(rewrite,[status(thm)],[d1_xboole_0]),
[] ).
cnf(146118576,plain,
( in(c(C),set_intersection2(a,b))
| ~ disjoint(a,b) ),
inference(rewrite,[status(thm)],[t4_xboole_0]),
[] ).
cnf(164427384,plain,
~ disjoint(a,b),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145953976,145889272,146118576]),
[] ).
cnf(164533656,plain,
~ in(C,set_intersection2(a,b)),
inference(resolution,[status(thm)],[146113808,164427384]),
[] ).
fof(t3_xboole_0,plain,
! [A,B,D] :
( ( in(c_nn_1(A,B),B)
| disjoint(A,B) )
& ( in(c_nn_1(A,B),A)
| disjoint(A,B) )
& ( ~ in(D,A)
| ~ in(D,B)
| ~ disjoint(A,B) ) ),
file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),
[] ).
cnf(146007136,plain,
( in(c_nn_1(A,B),B)
| disjoint(A,B) ),
inference(rewrite,[status(thm)],[t3_xboole_0]),
[] ).
cnf(168987208,plain,
disjoint(C,set_intersection2(a,b)),
inference(resolution,[status(thm)],[164533656,146007136]),
[] ).
fof(idempotence_k3_xboole_0,plain,
! [A] : $equal(set_intersection2(A,A),A),
file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),
[] ).
cnf(145968208,plain,
$equal(set_intersection2(A,A),A),
inference(rewrite,[status(thm)],[idempotence_k3_xboole_0]),
[] ).
cnf(163677040,plain,
( ~ disjoint(A,A)
| $equal(empty_set,A) ),
inference(paramodulation,[status(thm)],[145953976,145968208,theory(equality)]),
[] ).
cnf(145943208,plain,
( disjoint(A,B)
| ~ $equal(empty_set,set_intersection2(A,B)) ),
inference(rewrite,[status(thm)],[d7_xboole_0]),
[] ).
cnf(164524568,plain,
~ $equal(empty_set,set_intersection2(a,b)),
inference(resolution,[status(thm)],[145943208,164427384]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[168987208,163677040,164524568]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t4_xboole_0,plain,(((disjoint(a,b)|~disjoint(a,b))&(in(c(C),set_intersection2(a,b))|~disjoint(a,b))&(disjoint(a,b)|~in(C,set_intersection2(a,b)))&(in(c(C),set_intersection2(a,b))|~in(C,set_intersection2(a,b))))),file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),[]).
%
% cnf(146113808,plain,(disjoint(a,b)|~in(C,set_intersection2(a,b))),inference(rewrite,[status(thm)],[t4_xboole_0]),[]).
%
% fof(d7_xboole_0,plain,(((~disjoint(A,B)|$equal(empty_set,set_intersection2(A,B)))&(disjoint(A,B)|~$equal(empty_set,set_intersection2(A,B))))),file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),[]).
%
% cnf(145953976,plain,(~disjoint(A,B)|$equal(empty_set,set_intersection2(A,B))),inference(rewrite,[status(thm)],[d7_xboole_0]),[]).
%
% fof(d1_xboole_0,plain,(((~$equal(empty_set,A)|~in(B,A))&($equal(empty_set,A)|in(b(A,B),A)))),file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),[]).
%
% cnf(145889272,plain,(~$equal(empty_set,A)|~in(B,A)),inference(rewrite,[status(thm)],[d1_xboole_0]),[]).
%
% cnf(146118576,plain,(in(c(C),set_intersection2(a,b))|~disjoint(a,b)),inference(rewrite,[status(thm)],[t4_xboole_0]),[]).
%
% cnf(164427384,plain,(~disjoint(a,b)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145953976,145889272,146118576]),[]).
%
% cnf(164533656,plain,(~in(C,set_intersection2(a,b))),inference(resolution,[status(thm)],[146113808,164427384]),[]).
%
% fof(t3_xboole_0,plain,(((in(c_nn_1(A,B),B)|disjoint(A,B))&(in(c_nn_1(A,B),A)|disjoint(A,B))&(~in(D,A)|~in(D,B)|~disjoint(A,B)))),file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),[]).
%
% cnf(146007136,plain,(in(c_nn_1(A,B),B)|disjoint(A,B)),inference(rewrite,[status(thm)],[t3_xboole_0]),[]).
%
% cnf(168987208,plain,(disjoint(C,set_intersection2(a,b))),inference(resolution,[status(thm)],[164533656,146007136]),[]).
%
% fof(idempotence_k3_xboole_0,plain,($equal(set_intersection2(A,A),A)),file('/tmp/SystemOnTPTP32232/SEU120+2.p',unknown),[]).
%
% cnf(145968208,plain,($equal(set_intersection2(A,A),A)),inference(rewrite,[status(thm)],[idempotence_k3_xboole_0]),[]).
%
% cnf(163677040,plain,(~disjoint(A,A)|$equal(empty_set,A)),inference(paramodulation,[status(thm)],[145953976,145968208,theory(equality)]),[]).
%
% cnf(145943208,plain,(disjoint(A,B)|~$equal(empty_set,set_intersection2(A,B))),inference(rewrite,[status(thm)],[d7_xboole_0]),[]).
%
% cnf(164524568,plain,(~$equal(empty_set,set_intersection2(a,b))),inference(resolution,[status(thm)],[145943208,164427384]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168987208,163677040,164524568]),[]).
%
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
%
%------------------------------------------------------------------------------