TSTP Solution File: SEU264+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SEU264+1 : 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 15:54:08 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 30 ( 15 ~; 12 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t16_relset_1,plain,
( relation_of2_as_subset(d,c,a)
& subset(a,b)
& ~ relation_of2_as_subset(d,c,b) ),
file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),
[] ).
cnf(154231576,plain,
relation_of2_as_subset(d,c,a),
inference(rewrite,[status(thm)],[t16_relset_1]),
[] ).
fof(t1_xboole_1,plain,
! [A,B,C] :
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),
[] ).
cnf(154239408,plain,
( ~ subset(A,B)
| ~ subset(B,C)
| subset(A,C) ),
inference(rewrite,[status(thm)],[t1_xboole_1]),
[] ).
cnf(154224560,plain,
subset(a,b),
inference(rewrite,[status(thm)],[t16_relset_1]),
[] ).
cnf(168218704,plain,
( ~ subset(A,a)
| subset(A,b) ),
inference(resolution,[status(thm)],[154239408,154224560]),
[] ).
fof(t12_relset_1,plain,
! [C,B,A] :
( ( subset(relation_rng(C),B)
| ~ relation_of2_as_subset(C,A,B) )
& ( subset(relation_dom(C),A)
| ~ relation_of2_as_subset(C,A,B) ) ),
file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),
[] ).
cnf(154147256,plain,
( subset(relation_rng(C),B)
| ~ relation_of2_as_subset(C,A,B) ),
inference(rewrite,[status(thm)],[t12_relset_1]),
[] ).
cnf(167480128,plain,
subset(relation_rng(d),a),
inference(resolution,[status(thm)],[154147256,154231576]),
[] ).
cnf(168735528,plain,
subset(relation_rng(d),b),
inference(resolution,[status(thm)],[168218704,167480128]),
[] ).
cnf(154217168,plain,
~ relation_of2_as_subset(d,c,b),
inference(rewrite,[status(thm)],[t16_relset_1]),
[] ).
fof(t14_relset_1,plain,
! [D,C,A,B] :
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),
[] ).
cnf(154161952,plain,
( ~ relation_of2_as_subset(D,C,A)
| ~ subset(relation_rng(D),B)
| relation_of2_as_subset(D,C,B) ),
inference(rewrite,[status(thm)],[t14_relset_1]),
[] ).
cnf(178262336,plain,
~ relation_of2_as_subset(d,c,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168735528,154217168,154161952]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[154231576,178262336]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(t16_relset_1,plain,((relation_of2_as_subset(d,c,a)&subset(a,b)&~relation_of2_as_subset(d,c,b))),file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),[]).
%
% cnf(154231576,plain,(relation_of2_as_subset(d,c,a)),inference(rewrite,[status(thm)],[t16_relset_1]),[]).
%
% fof(t1_xboole_1,plain,(~subset(A,B)|~subset(B,C)|subset(A,C)),file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),[]).
%
% cnf(154239408,plain,(~subset(A,B)|~subset(B,C)|subset(A,C)),inference(rewrite,[status(thm)],[t1_xboole_1]),[]).
%
% cnf(154224560,plain,(subset(a,b)),inference(rewrite,[status(thm)],[t16_relset_1]),[]).
%
% cnf(168218704,plain,(~subset(A,a)|subset(A,b)),inference(resolution,[status(thm)],[154239408,154224560]),[]).
%
% fof(t12_relset_1,plain,(((subset(relation_rng(C),B)|~relation_of2_as_subset(C,A,B))&(subset(relation_dom(C),A)|~relation_of2_as_subset(C,A,B)))),file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),[]).
%
% cnf(154147256,plain,(subset(relation_rng(C),B)|~relation_of2_as_subset(C,A,B)),inference(rewrite,[status(thm)],[t12_relset_1]),[]).
%
% cnf(167480128,plain,(subset(relation_rng(d),a)),inference(resolution,[status(thm)],[154147256,154231576]),[]).
%
% cnf(168735528,plain,(subset(relation_rng(d),b)),inference(resolution,[status(thm)],[168218704,167480128]),[]).
%
% cnf(154217168,plain,(~relation_of2_as_subset(d,c,b)),inference(rewrite,[status(thm)],[t16_relset_1]),[]).
%
% fof(t14_relset_1,plain,(~relation_of2_as_subset(D,C,A)|~subset(relation_rng(D),B)|relation_of2_as_subset(D,C,B)),file('/tmp/SystemOnTPTP21149/SEU264+1.p',unknown),[]).
%
% cnf(154161952,plain,(~relation_of2_as_subset(D,C,A)|~subset(relation_rng(D),B)|relation_of2_as_subset(D,C,B)),inference(rewrite,[status(thm)],[t14_relset_1]),[]).
%
% cnf(178262336,plain,(~relation_of2_as_subset(d,c,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[168735528,154217168,154161952]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[154231576,178262336]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------