%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU178+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 : n011.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 12:52:16 PM UTC 2026
% Result : Theorem 0.42s 0.48s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 77 ( 13 unt; 2 def)
% Number of atoms : 265 ( 38 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 315 ( 127 ~; 130 |; 38 &)
% ( 15 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-2 aty)
% Number of variables : 180 ( 0 sgn 153 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
fof(f3,axiom,
! [X0] :
( relation(X0)
<=> ! [X1] :
~ ( in(X1,X0)
& ! [X2,X3] : X1 != ordered_pair(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_relat_1) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f7,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(f30,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(f32,conjecture,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f43,plain,
! [X0] :
( relation(X0)
<=> ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X2,X3) = X1 ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f44,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
? [X0] :
( ~ subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
& relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f60,plain,
! [X0] :
( ( relation(X0)
| ? [X1] :
( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) )
& ( ! [X1] :
( ~ in(X1,X0)
| ? [X2,X3] : ordered_pair(X2,X3) = X1 )
| ~ relation(X0) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f61,plain,
! [X0] :
( ( relation(X0)
| ? [X1] :
( in(X1,X0)
& ! [X2,X3] : ordered_pair(X2,X3) != X1 ) )
& ( ! [X4] :
( ~ in(X4,X0)
| ? [X5,X6] : ordered_pair(X5,X6) = X4 )
| ~ relation(X0) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ( relation(X0)
| ( in(sK0(X0),X0)
& ! [X2,X3] : ordered_pair(X2,X3) != sK0(X0) ) )
& ( ! [X4] :
( ~ in(X4,X0)
| ordered_pair(sK1(X4),sK2(X4)) = X4 )
| ~ relation(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X5,sK1(X4)),skolemize(X6,sK2(X4))],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f64,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK3(X0,X1),X1)
& in(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f64]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f45]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK4(X0,X1),X3),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK5(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK6(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X2,sK4(X0,X1)),skolemize(X4,sK5(X0,X1)),skolemize(X7,sK6(X0,X5))],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f70]) ).
fof(f78,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,[],[f30]) ).
fof(f79,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,[],[f78]) ).
fof(f80,plain,
( ~ subset(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))
& relation(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f51]) ).
fof(f83,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
! [X0,X4] :
( ~ in(X4,X0)
| ordered_pair(sK1(X4),sK2(X4)) = X4
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f88,plain,
! [X0,X1] :
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f89,plain,
! [X0,X1] :
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
fof(f91,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f95,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f98,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f117,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f79]) ).
fof(f119,plain,
relation(sK16),
inference(cnf_transformation,[],[f80]) ).
fof(f120,plain,
~ subset(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),
inference(cnf_transformation,[],[f80]) ).
fof(f130,plain,
! [X0,X4] :
( ~ in(X4,X0)
| unordered_pair(unordered_pair(sK1(X4),sK2(X4)),singleton(sK1(X4))) = X4
| ~ relation(X0) ),
inference(definition_unfolding,[],[f84,f98]) ).
fof(f133,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f91,f98]) ).
fof(f137,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f95,f98]) ).
fof(f140,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,[],[f117,f98]) ).
fof(f143,plain,
! [X0,X6,X5] :
( in(X5,relation_dom(X0))
| ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f145,plain,
! [X0,X6,X5] :
( in(X5,relation_rng(X0))
| ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f137]) ).
fof(f253,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(singleton(X5),unordered_pair(X5,X6)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f143,f83]) ).
fof(f254,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X5)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(forward_demodulation,[],[f145,f83]) ).
fof(f265,plain,
! [X0,X4] :
( ~ in(X4,X0)
| unordered_pair(singleton(sK1(X4)),unordered_pair(sK1(X4),sK2(X4))) = X4
| ~ relation(X0) ),
inference(forward_demodulation,[],[f130,f83]) ).
fof(f267,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,[],[f140,f83]) ).
fof(f286,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ relation(X0)
| sK3(X0,X1) = unordered_pair(singleton(sK1(sK3(X0,X1))),unordered_pair(sK1(sK3(X0,X1)),sK2(sK3(X0,X1)))) ),
inference(resolution,[],[f265,f88]) ).
fof(f903,plain,
( ~ relation(sK16)
| sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))) = unordered_pair(singleton(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))))),unordered_pair(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))))) ),
inference(resolution,[],[f286,f120]) ).
fof(f907,plain,
sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))) = unordered_pair(singleton(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))))),unordered_pair(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))))),
inference(forward_subsumption_resolution,[],[f903,f119]) ).
fof(f911,plain,
! [X0] :
( in(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_dom(X0))
| ~ in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),X0)
| ~ relation(X0) ),
inference(superposition,[],[f253,f907]) ).
fof(f912,plain,
! [X0] :
( in(sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_rng(X0))
| ~ in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),X0)
| ~ relation(X0) ),
inference(superposition,[],[f254,f907]) ).
fof(f913,plain,
! [X0,X1] :
( in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),cartesian_product2(X0,X1))
| ~ in(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),X0)
| ~ in(sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),X1) ),
inference(superposition,[],[f267,f907]) ).
fof(f1256,plain,
( ~ in(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_dom(sK16))
| ~ in(sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_rng(sK16))
| subset(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))) ),
inference(resolution,[],[f913,f89]) ).
fof(f1263,plain,
( ~ in(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_dom(sK16))
| ~ in(sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_rng(sK16)) ),
inference(forward_subsumption_resolution,[],[f1256,f120]) ).
fof(f1265,definition,
( spl17_16
<=> in(sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_rng(sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_16])],[avatar_definition]) ).
fof(f1267,plain,
( ~ in(sK2(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_rng(sK16))
| spl17_16 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1269,definition,
( spl17_17
<=> in(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_dom(sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_17])],[avatar_definition]) ).
fof(f1271,plain,
( ~ in(sK1(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))),relation_dom(sK16))
| spl17_17 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1272,plain,
( ~ spl17_16
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f1263,f1269,f1265]) ).
fof(f1288,plain,
( ~ in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),sK16)
| ~ relation(sK16)
| spl17_16 ),
inference(resolution,[],[f1267,f912]) ).
fof(f1289,plain,
( ~ in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),sK16)
| spl17_16 ),
inference(forward_subsumption_resolution,[],[f1288,f119]) ).
fof(f1305,plain,
( subset(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))
| spl17_16 ),
inference(resolution,[],[f1289,f88]) ).
fof(f1306,plain,
( $false
| spl17_16 ),
inference(forward_subsumption_resolution,[],[f1305,f120]) ).
fof(f1307,plain,
spl17_16,
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1340,plain,
( ~ in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),sK16)
| ~ relation(sK16)
| spl17_17 ),
inference(resolution,[],[f1271,f911]) ).
fof(f1341,plain,
( ~ in(sK3(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16))),sK16)
| spl17_17 ),
inference(forward_subsumption_resolution,[],[f1340,f119]) ).
fof(f1363,plain,
( subset(sK16,cartesian_product2(relation_dom(sK16),relation_rng(sK16)))
| spl17_17 ),
inference(resolution,[],[f1341,f88]) ).
fof(f1364,plain,
( $false
| spl17_17 ),
inference(forward_subsumption_resolution,[],[f1363,f120]) ).
fof(f1365,plain,
spl17_17,
inference(avatar_contradiction_clause,[],[f1364]) ).
cnf(s24,plain,
( ~ spl17_16
| ~ spl17_17 ),
inference(sat_conversion,[],[f1272]) ).
cnf(s25,plain,
spl17_16,
inference(sat_conversion,[],[f1307]) ).
cnf(s27,plain,
spl17_17,
inference(sat_conversion,[],[f1365]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s24,s27,s25]) ).
fof(f1366,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU178+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.04/0.36 % CPULimit : 300
% 0.04/0.36 % WCLimit : 300
% 0.04/0.36 % DateTime : Mon Sep 28 03:54:15 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.39 Running first-order model finding
% 0.04/0.39 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
% 0.42/0.48 % (3005038)Will run a generic schedule for satisfiability detection.
% 0.42/0.48 % (3005044)% WARNING: option uhcvi not known.
% 0.42/0.48 % (3005044)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=772422454:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.42/0.48 % (3005048)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=563885047:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.42/0.48 % (3005043)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2897416914_2999 on theBenchmark for (2999ds/0Mi)
% 0.42/0.48 % (3005046)dis+10_1_sil=32000:sp=arity:random_seed=4103366853:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.42/0.48 % (3005045)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3343800969:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.42/0.48 % (3005047)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4042453022:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.42/0.48 % (3005049)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3007537781:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.42/0.48 % TRYING [1]
% 0.42/0.48 % TRYING [2]
% 0.42/0.48 % TRYING [3]
% 0.42/0.48 % TRYING [4]
% 0.42/0.48 % TRYING [5]
% 0.42/0.48 % (3005046) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3005038-3005046"...
% 0.42/0.48 % (3005046)...printing done.
% 0.42/0.48 % (3005046)Refutation found. Thanks to Tanya!
% 0.42/0.48 % SZS status Theorem for theBenchmark
% 0.42/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.42/0.48 % (3005046)------------------------------
% 0.42/0.48 % (3005046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.48 % (3005046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.48 % (3005046)CaDiCaL version: 2.1.3
% 0.42/0.48 % (3005046)Termination reason: Refutation
% 0.42/0.48 % (3005046)Time elapsed: 0.041 s
% 0.42/0.48 % (3005046)Peak memory usage: 13 MB
% 0.42/0.48 % (3005046)Instructions burned: 60 (million)
% 0.42/0.48 % (3005038)Success in time 0.081 s
% 0.42/0.48 % Vampire exiting
%------------------------------------------------------------------------------