%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU254+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:52:36 PM UTC 2026
% Result : Theorem 0.17s 0.53s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 9 unt; 0 def)
% Number of atoms : 275 ( 4 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 341 ( 143 ~; 157 |; 27 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 194 ( 184 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f11,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f20,axiom,
! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> ! [X1,X2,X3] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) )
=> in(ordered_pair(X1,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_wellord1) ).
fof(f26,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f27,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f29,conjecture,
! [X0,X1] :
( relation(X1)
=> ( transitive(X1)
=> transitive(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_wellord1) ).
fof(f30,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( transitive(X1)
=> transitive(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f44,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f45,plain,
! [X0] :
( ( transitive(X0)
<=> ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0] :
( ( transitive(X0)
<=> ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f49,plain,
? [X0,X1] :
( ~ transitive(relation_restriction(X1,X0))
& transitive(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f50,plain,
? [X0,X1] :
( ~ transitive(relation_restriction(X1,X0))
& transitive(X1)
& relation(X1) ),
inference(flattening,[],[f49]) ).
fof(f57,plain,
! [X0] :
( ( ( transitive(X0)
| ? [X1,X2,X3] :
( ~ in(ordered_pair(X1,X3),X0)
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) )
| ~ transitive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f58,plain,
! [X0] :
( ( ( transitive(X0)
| ? [X1,X2,X3] :
( ~ in(ordered_pair(X1,X3),X0)
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) ) )
& ( ! [X4,X5,X6] :
( in(ordered_pair(X4,X6),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X6),X0) )
| ~ transitive(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( ( transitive(X0)
| ( ~ in(ordered_pair(sK1(X0),sK3(X0)),X0)
& in(ordered_pair(sK1(X0),sK2(X0)),X0)
& in(ordered_pair(sK2(X0),sK3(X0)),X0) ) )
& ( ! [X4,X5,X6] :
( in(ordered_pair(X4,X6),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X6),X0) )
| ~ transitive(X0) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0))],[f58]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f47]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
( ~ transitive(relation_restriction(sK10,sK9))
& transitive(sK10)
& relation(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f50]) ).
fof(f74,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f78,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f83,plain,
! [X0,X6,X4,X5] :
( in(ordered_pair(X4,X6),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X6),X0)
| ~ transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f84,plain,
! [X0] :
( transitive(X0)
| in(ordered_pair(sK2(X0),sK3(X0)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f85,plain,
! [X0] :
( transitive(X0)
| in(ordered_pair(sK1(X0),sK2(X0)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f86,plain,
! [X0] :
( transitive(X0)
| ~ in(ordered_pair(sK1(X0),sK3(X0)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f66]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,cartesian_product2(X1,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_restriction(X2,X1))
| in(X0,X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| in(X0,relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f103,plain,
relation(sK10),
inference(cnf_transformation,[],[f69]) ).
fof(f104,plain,
transitive(sK10),
inference(cnf_transformation,[],[f69]) ).
fof(f105,plain,
~ transitive(relation_restriction(sK10,sK9)),
inference(cnf_transformation,[],[f69]) ).
fof(f112,plain,
! [X0] :
( transitive(X0)
| ~ in(unordered_pair(unordered_pair(sK1(X0),sK3(X0)),singleton(sK1(X0))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f86,f76]) ).
fof(f113,plain,
! [X0] :
( transitive(X0)
| in(unordered_pair(unordered_pair(sK1(X0),sK2(X0)),singleton(sK1(X0))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f85,f76]) ).
fof(f114,plain,
! [X0] :
( transitive(X0)
| in(unordered_pair(unordered_pair(sK2(X0),sK3(X0)),singleton(sK2(X0))),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f84,f76]) ).
fof(f115,plain,
! [X0,X6,X4,X5] :
( in(unordered_pair(unordered_pair(X4,X6),singleton(X4)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ transitive(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f83,f76,f76,f76]) ).
fof(f116,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(definition_unfolding,[],[f98,f76]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( in(X0,X2)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3)) ),
inference(definition_unfolding,[],[f97,f76]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( in(X1,X3)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3)) ),
inference(definition_unfolding,[],[f96,f76]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(forward_demodulation,[],[f117,f74]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(forward_demodulation,[],[f118,f74]) ).
fof(f187,plain,
! [X0] :
( ~ in(unordered_pair(singleton(sK1(X0)),unordered_pair(sK1(X0),sK3(X0))),X0)
| transitive(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f112,f74]) ).
fof(f189,plain,
! [X0] :
( in(unordered_pair(singleton(sK1(X0)),unordered_pair(sK1(X0),sK2(X0))),X0)
| transitive(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f113,f74]) ).
fof(f190,plain,
! [X0] :
( in(unordered_pair(singleton(sK2(X0)),unordered_pair(sK2(X0),sK3(X0))),X0)
| transitive(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f114,f74]) ).
fof(f197,plain,
! [X0,X1] :
( transitive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1))
| in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1)))),cartesian_product2(X1,X1))
| ~ relation(X0) ),
inference(resolution,[],[f189,f99]) ).
fof(f198,plain,
! [X0,X1] :
( transitive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1))
| in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1)))),X0)
| ~ relation(X0) ),
inference(resolution,[],[f189,f100]) ).
fof(f202,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1)))),X0)
| transitive(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f198,f78]) ).
fof(f203,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK2(relation_restriction(X0,X1)))),cartesian_product2(X1,X1))
| transitive(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f197,f78]) ).
fof(f209,plain,
! [X0,X1] :
( transitive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1))
| in(unordered_pair(singleton(sK2(relation_restriction(X0,X1))),unordered_pair(sK2(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),cartesian_product2(X1,X1))
| ~ relation(X0) ),
inference(resolution,[],[f190,f99]) ).
fof(f210,plain,
! [X0,X1] :
( transitive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1))
| in(unordered_pair(singleton(sK2(relation_restriction(X0,X1))),unordered_pair(sK2(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ relation(X0) ),
inference(resolution,[],[f190,f100]) ).
fof(f213,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK2(relation_restriction(X0,X1))),unordered_pair(sK2(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| transitive(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f210,f78]) ).
fof(f214,plain,
! [X0,X1] :
( in(unordered_pair(singleton(sK2(relation_restriction(X0,X1))),unordered_pair(sK2(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),cartesian_product2(X1,X1))
| transitive(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f209,f78]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(forward_demodulation,[],[f116,f74]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),relation_restriction(X3,X1))
| ~ in(X2,X1)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),X3)
| ~ in(X0,X1)
| ~ relation(X3) ),
inference(resolution,[],[f241,f101]) ).
fof(f251,plain,
! [X0,X6,X4,X5] :
( in(unordered_pair(singleton(X4),unordered_pair(X4,X6)),X0)
| ~ in(unordered_pair(unordered_pair(X4,X5),singleton(X4)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ transitive(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f115,f74]) ).
fof(f252,plain,
! [X0,X6,X4,X5] :
( ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),X0)
| in(unordered_pair(singleton(X4),unordered_pair(X4,X6)),X0)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ transitive(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f251,f74]) ).
fof(f253,plain,
! [X0,X6,X4,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| ~ in(unordered_pair(singleton(X4),unordered_pair(X4,X5)),X0)
| in(unordered_pair(singleton(X4),unordered_pair(X4,X6)),X0)
| ~ transitive(X0)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f252,f74]) ).
fof(f386,plain,
! [X2,X0,X1] :
( transitive(relation_restriction(X0,X1))
| ~ relation(X0)
| ~ in(unordered_pair(singleton(X2),unordered_pair(X2,sK2(relation_restriction(X0,X1)))),X0)
| in(unordered_pair(singleton(X2),unordered_pair(X2,sK3(relation_restriction(X0,X1)))),X0)
| ~ transitive(X0)
| ~ relation(X0) ),
inference(resolution,[],[f213,f253]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X2),unordered_pair(X2,sK2(relation_restriction(X0,X1)))),X0)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1))
| in(unordered_pair(singleton(X2),unordered_pair(X2,sK3(relation_restriction(X0,X1)))),X0)
| ~ transitive(X0) ),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f401,plain,
! [X0,X1] :
( in(sK1(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1)) ),
inference(resolution,[],[f203,f165]) ).
fof(f409,plain,
! [X0,X1] :
( in(sK3(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1)) ),
inference(resolution,[],[f214,f166]) ).
fof(f418,plain,
! [X0,X1] :
( ~ in(sK3(relation_restriction(X0,X1)),X1)
| ~ in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ in(sK1(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(resolution,[],[f245,f187]) ).
fof(f431,plain,
! [X0,X1] :
( ~ in(sK3(relation_restriction(X0,X1)),X1)
| ~ in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ in(sK1(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f418,f78]) ).
fof(f854,plain,
! [X0,X1] :
( ~ relation(X0)
| transitive(relation_restriction(X0,X1))
| in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ transitive(X0)
| transitive(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(resolution,[],[f395,f202]) ).
fof(f868,plain,
! [X0,X1] :
( ~ relation(X0)
| transitive(relation_restriction(X0,X1))
| in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ transitive(X0) ),
inference(duplicate_literal_removal,[],[f854]) ).
fof(f1010,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ in(sK1(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f431,f409]) ).
fof(f1011,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(sK1(relation_restriction(X0,X1))),unordered_pair(sK1(relation_restriction(X0,X1)),sK3(relation_restriction(X0,X1)))),X0)
| ~ relation(X0)
| transitive(relation_restriction(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1010,f401]) ).
fof(f1575,plain,
! [X0,X1] :
( transitive(relation_restriction(X0,X1))
| ~ relation(X0)
| ~ transitive(X0) ),
inference(forward_subsumption_resolution,[],[f868,f1011]) ).
fof(f1580,plain,
( ~ relation(sK10)
| ~ transitive(sK10) ),
inference(resolution,[],[f1575,f105]) ).
fof(f1582,plain,
~ transitive(sK10),
inference(forward_subsumption_resolution,[],[f1580,f103]) ).
fof(f1583,plain,
$false,
inference(forward_subsumption_resolution,[],[f1582,f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU254+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:21:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.53 % (1866182)Will run a generic schedule for satisfiability detection.
% 0.17/0.53 % (1866199)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3932987891:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.53 % (1866195)% WARNING: option uhcvi not known.
% 0.17/0.53 % (1866194)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=192603782_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.53 % (1866197)dis+10_1_sil=32000:sp=arity:random_seed=3294582566:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.53 % (1866198)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2526139699:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.53 % (1866195)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=62600343:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.53 % (1866196)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2130395624:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.53 % TRYING [1]
% 0.17/0.53 % TRYING [2]
% 0.17/0.53 % TRYING [3]
% 0.17/0.53 % (1866200)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3776432507:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.53 % TRYING [4]
% 0.17/0.53 % (1866199)Instruction limit reached!
% 0.17/0.53 % (1866199)------------------------------
% 0.17/0.53 % (1866199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.53 % (1866199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.53 % (1866199)CaDiCaL version: 2.1.3
% 0.17/0.53 % (1866199)Termination reason: Instruction limit
% 0.17/0.53 % (1866199)Termination phase: Saturation
% 0.17/0.53 % (1866199)Time elapsed: 0.047 s
% 0.17/0.53 % (1866199)Peak memory usage: 13 MB
% 0.17/0.53 % (1866199)Instructions burned: 134 (million)
% 0.17/0.53 % (1866212)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2741538524:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.53 % TRYING [1]
% 0.17/0.53 % TRYING [2]
% 0.17/0.53 % TRYING [3]
% 0.17/0.53 % TRYING [4]
% 0.17/0.53 % (1866197) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1866182-1866197"...
% 0.17/0.53 % (1866197)...printing done.
% 0.17/0.53 % (1866197)Refutation found. Thanks to Tanya!
% 0.17/0.53 % SZS status Theorem for theBenchmark
% 0.17/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53 % (1866197)------------------------------
% 0.17/0.53 % (1866197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.53 % (1866197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.53 % (1866197)CaDiCaL version: 2.1.3
% 0.17/0.53 % (1866197)Termination reason: Refutation
% 0.17/0.53 % (1866197)Time elapsed: 0.066 s
% 0.17/0.53 % (1866197)Peak memory usage: 12 MB
% 0.17/0.53 % (1866197)Instructions burned: 82 (million)
% 0.17/0.53 % (1866182)Success in time 0.103 s
% 0.17/0.53 % Vampire exiting
%------------------------------------------------------------------------------