%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU182+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 12:52:17 PM UTC 2026
% Result : Theorem 1.81s 0.90s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 77 ( 23 unt; 4 def)
% Number of atoms : 273 ( 32 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 334 ( 138 ~; 138 |; 37 &)
% ( 11 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-4 aty)
% Number of variables : 177 ( 0 sgn 155 !; 22 ?)
% 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,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f4,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(f5,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(f6,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).
fof(f13,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f30,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_relat_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = relation_composition(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f42,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f43,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f42]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f55,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,[],[f39]) ).
fof(f56,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,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f56]) ).
fof(f58,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,[],[f40]) ).
fof(f59,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,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1) )
& ( in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f59]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) ) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f41]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ? [X3,X4] :
( ( ! [X5] :
( ~ in(ordered_pair(X3,X5),X0)
| ~ in(ordered_pair(X5,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) )
& ( ? [X6] :
( in(ordered_pair(X3,X6),X0)
& in(ordered_pair(X6,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ? [X10] :
( in(ordered_pair(X7,X10),X0)
& in(ordered_pair(X10,X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK4(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK5(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK4(X0,X1,X2),sK6(X0,X1,X2)),X0)
& in(ordered_pair(sK6(X0,X1,X2),sK5(X0,X1,X2)),X1) )
| in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) ) ) )
& ( ! [X7,X8] :
( ( in(ordered_pair(X7,X8),X2)
| ! [X9] :
( ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1) ) )
& ( ( in(ordered_pair(X7,sK7(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK7(X0,X1,X7,X8),X8),X1) )
| ~ in(ordered_pair(X7,X8),X2) ) )
| relation_composition(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1,X2)),skolemize(X6,sK6(X0,X1,X2)),skolemize(X10,sK7(X0,X1,X7,X8))],[f62]) ).
fof(f71,plain,
( ~ subset(relation_dom(relation_composition(sK14,sK15)),relation_dom(sK14))
& relation(sK15)
& relation(sK14) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15]),skolemize(X0,sK14),skolemize(X1,sK15)],[f48]) ).
fof(f73,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f76,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f77,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f78,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f81,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK7(X0,X1,X7,X8)),X0)
| ~ in(ordered_pair(X7,X8),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f108,plain,
relation(sK14),
inference(cnf_transformation,[],[f71]) ).
fof(f109,plain,
relation(sK15),
inference(cnf_transformation,[],[f71]) ).
fof(f110,plain,
~ subset(relation_dom(relation_composition(sK14,sK15)),relation_dom(sK14)),
inference(cnf_transformation,[],[f71]) ).
fof(f118,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,[],[f78,f81]) ).
fof(f119,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f77,f81]) ).
fof(f124,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK7(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f83,f81,f81]) ).
fof(f127,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f118]) ).
fof(f128,plain,
! [X0,X5] :
( ~ in(X5,relation_dom(X0))
| in(unordered_pair(unordered_pair(X5,sK3(X0,X5)),singleton(X5)),X0)
| ~ relation(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f130,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK7(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f124]) ).
fof(f132,definition,
sF16 = relation_composition(sK14,sK15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f133,plain,
relation_composition(sK14,sK15) = sF16,
inference(reorient_equations,[],[f132]) ).
fof(f134,definition,
sF17 = relation_dom(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f135,plain,
relation_dom(sF16) = sF17,
inference(reorient_equations,[],[f134]) ).
fof(f136,definition,
sF18 = relation_dom(sK14),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f137,plain,
relation_dom(sK14) = sF18,
inference(reorient_equations,[],[f136]) ).
fof(f138,plain,
~ subset(sF17,sF18),
inference(definition_folding,[],[f110,f137,f135,f133]) ).
fof(f140,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK7(X0,X1,X7,X8)),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f130,f88]) ).
fof(f143,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(singleton(X7),unordered_pair(X7,sK7(X0,X1,X7,X8))),X0)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f140,f73]) ).
fof(f146,plain,
! [X0,X1,X8,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| in(unordered_pair(singleton(X7),unordered_pair(X7,sK7(X0,X1,X7,X8))),X0)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f143,f73]) ).
fof(f176,plain,
in(sK0(sF17,sF18),sF17),
inference(resolution,[],[f75,f138]) ).
fof(f181,plain,
( relation(sF16)
| ~ relation(sK14)
| ~ relation(sK15) ),
inference(superposition,[],[f88,f133]) ).
fof(f182,plain,
( relation(sF16)
| ~ relation(sK15) ),
inference(forward_subsumption_resolution,[],[f181,f108]) ).
fof(f183,plain,
relation(sF16),
inference(forward_subsumption_resolution,[],[f182,f109]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(superposition,[],[f127,f73]) ).
fof(f233,plain,
! [X0] :
( ~ in(X0,sF17)
| in(unordered_pair(unordered_pair(X0,sK3(sF16,X0)),singleton(X0)),sF16)
| ~ relation(sF16) ),
inference(superposition,[],[f128,f135]) ).
fof(f236,plain,
! [X0] :
( ~ in(X0,sF17)
| in(unordered_pair(unordered_pair(X0,sK3(sF16,X0)),singleton(X0)),sF16) ),
inference(forward_subsumption_resolution,[],[f233,f183]) ).
fof(f238,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sF16,X0))),sF16)
| ~ in(X0,sF17) ),
inference(forward_demodulation,[],[f236,f73]) ).
fof(f286,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK7(sK14,sK15,X0,X1))),sK14)
| ~ relation(sK15)
| ~ relation(sK14) ),
inference(superposition,[],[f146,f133]) ).
fof(f287,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK7(sK14,sK15,X0,X1))),sK14)
| ~ relation(sK14) ),
inference(forward_subsumption_resolution,[],[f286,f109]) ).
fof(f288,plain,
! [X0,X1] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK7(sK14,sK15,X0,X1))),sK14)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16) ),
inference(forward_subsumption_resolution,[],[f287,f108]) ).
fof(f491,plain,
! [X0,X1] :
( in(X0,relation_dom(sK14))
| ~ relation(sK14)
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16) ),
inference(resolution,[],[f225,f288]) ).
fof(f501,plain,
! [X0,X1] :
( in(X0,relation_dom(sK14))
| ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16) ),
inference(forward_subsumption_resolution,[],[f491,f108]) ).
fof(f506,plain,
! [X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF16)
| in(X0,sF18) ),
inference(forward_demodulation,[],[f501,f137]) ).
fof(f628,plain,
! [X0] :
( ~ in(X0,sF17)
| in(X0,sF18) ),
inference(resolution,[],[f506,f238]) ).
fof(f1144,plain,
in(sK0(sF17,sF18),sF18),
inference(resolution,[],[f628,f176]) ).
fof(f1153,definition,
( spl19_36
<=> in(sK0(sF17,sF18),sF18) ),
introduced(definition,[new_symbols(definition,[spl19_36])],[avatar_definition]) ).
fof(f1155,plain,
( in(sK0(sF17,sF18),sF18)
| ~ spl19_36 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f1157,plain,
spl19_36,
inference(avatar_split_clause,[],[f1144,f1153]) ).
fof(f1382,plain,
( subset(sF17,sF18)
| ~ spl19_36 ),
inference(resolution,[],[f1155,f76]) ).
fof(f1387,plain,
( $false
| ~ spl19_36 ),
inference(forward_subsumption_resolution,[],[f1382,f138]) ).
fof(f1388,plain,
~ spl19_36,
inference(avatar_contradiction_clause,[],[f1387]) ).
cnf(s39,plain,
spl19_36,
inference(sat_conversion,[],[f1157]) ).
cnf(s59,plain,
~ spl19_36,
inference(sat_conversion,[],[f1388]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s39,s59]) ).
fof(f1389,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU182+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % 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 03:56:10 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
% 1.81/0.90 % (1852686)Will run a generic schedule for satisfiability detection.
% 1.81/0.90 % (1852691)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3829480986_2999 on theBenchmark for (2999ds/0Mi)
% 1.81/0.90 % (1852692)% WARNING: option uhcvi not known.
% 1.81/0.90 % TRYING [1]
% 1.81/0.90 % TRYING [2]
% 1.81/0.90 % TRYING [3]
% 1.81/0.90 % (1852694)dis+10_1_sil=32000:sp=arity:random_seed=4107256378:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.81/0.90 % (1852692)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2429100221:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.81/0.90 % (1852693)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1899544894:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.81/0.90 % (1852696)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=675182161:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.81/0.90 % (1852695)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1173067024:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.81/0.90 % (1852697)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=244937704:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.81/0.90 % TRYING [4]
% 1.81/0.90 % TRYING [5]
% 1.81/0.90 % (1852694)Instruction limit reached!
% 1.81/0.90 % (1852694)------------------------------
% 1.81/0.90 % (1852694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852694)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852694)Termination reason: Instruction limit
% 1.81/0.90 % (1852694)Termination phase: Saturation
% 1.81/0.90 % (1852694)Time elapsed: 0.065 s
% 1.81/0.90 % (1852694)Peak memory usage: 12 MB
% 1.81/0.90 % (1852694)Instructions burned: 105 (million)
% 1.81/0.90 % (1852695)Instruction limit reached!
% 1.81/0.90 % (1852695)------------------------------
% 1.81/0.90 % (1852695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852695)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852695)Termination reason: Instruction limit
% 1.81/0.90 % (1852695)Termination phase: Saturation
% 1.81/0.90 % (1852695)Time elapsed: 0.069 s
% 1.81/0.90 % (1852695)Peak memory usage: 13 MB
% 1.81/0.90 % (1852695)Instructions burned: 117 (million)
% 1.81/0.90 % (1852696)Instruction limit reached!
% 1.81/0.90 % (1852696)------------------------------
% 1.81/0.90 % (1852696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852696)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852696)Termination reason: Instruction limit
% 1.81/0.90 % (1852696)Termination phase: Saturation
% 1.81/0.90 % (1852696)Time elapsed: 0.071 s
% 1.81/0.90 % (1852696)Peak memory usage: 13 MB
% 1.81/0.90 % (1852696)Instructions burned: 131 (million)
% 1.81/0.90 % (1852705)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2220223327:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.81/0.90 % TRYING [1]
% 1.81/0.90 % TRYING [2]
% 1.81/0.90 % (1852707)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2896818693:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.81/0.90 % (1852706)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3419979602:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.81/0.90 % TRYING [3]
% 1.81/0.90 % TRYING [4]
% 1.81/0.90 % (1852697)Instruction limit reached!
% 1.81/0.90 % (1852697)------------------------------
% 1.81/0.90 % (1852697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852697)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852697)Termination reason: Instruction limit
% 1.81/0.90 % (1852697)Termination phase: Saturation
% 1.81/0.90 % (1852697)Time elapsed: 0.109 s
% 1.81/0.90 % (1852697)Peak memory usage: 14 MB
% 1.81/0.90 % (1852697)Instructions burned: 160 (million)
% 1.81/0.90 % (1852711)ott-21_1_sil=16000:fs=off:random_seed=97538814:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.81/0.90 % TRYING [5]
% 1.81/0.90 % (1852706)Instruction limit reached!
% 1.81/0.90 % (1852706)------------------------------
% 1.81/0.90 % (1852706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852706)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852706)Termination reason: Instruction limit
% 1.81/0.90 % (1852706)Termination phase: Saturation
% 1.81/0.90 % (1852706)Time elapsed: 0.077 s
% 1.81/0.90 % (1852706)Peak memory usage: 14 MB
% 1.81/0.90 % (1852706)Instructions burned: 132 (million)
% 1.81/0.90 % (1852713)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2403603803:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.81/0.90 % TRYING [6]
% 1.81/0.90 % (1852711)Instruction limit reached!
% 1.81/0.90 % (1852711)------------------------------
% 1.81/0.90 % (1852711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852711)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852711)Termination reason: Instruction limit
% 1.81/0.90 % (1852711)Termination phase: Saturation
% 1.81/0.90 % (1852711)Time elapsed: 0.099 s
% 1.81/0.90 % (1852711)Peak memory usage: 12 MB
% 1.81/0.90 % (1852711)Instructions burned: 182 (million)
% 1.81/0.90 % (1852715)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=393162090:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.81/0.90 % TRYING [1]
% 1.81/0.90 % TRYING [2]
% 1.81/0.90 % TRYING [3]
% 1.81/0.90 % TRYING [4]
% 1.81/0.90 % TRYING [6]
% 1.81/0.90 % (1852705)Instruction limit reached!
% 1.81/0.90 % (1852705)------------------------------
% 1.81/0.90 % (1852705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852705)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852705)Termination reason: Instruction limit
% 1.81/0.90 % (1852705)Termination phase: Finite model building constraint generation
% 1.81/0.90 % (1852705)Time elapsed: 0.265 s
% 1.81/0.90 % (1852705)Peak memory usage: 34 MB
% 1.81/0.90 % (1852705)Instructions burned: 714 (million)
% 1.81/0.90 % (1852717)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1204060885:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.81/0.90 % (1852717) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1852686-1852717"...
% 1.81/0.90 % (1852717)...printing done.
% 1.81/0.90 % (1852717)Refutation found. Thanks to Tanya!
% 1.81/0.90 % SZS status Theorem for theBenchmark
% 1.81/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.90 % (1852717)------------------------------
% 1.81/0.90 % (1852717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.90 % (1852717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.90 % (1852717)CaDiCaL version: 2.1.3
% 1.81/0.90 % (1852717)Termination reason: Refutation
% 1.81/0.90 % (1852717)Time elapsed: 0.044 s
% 1.81/0.90 % (1852717)Peak memory usage: 13 MB
% 1.81/0.90 % (1852717)Instructions burned: 66 (million)
% 1.81/0.90 % (1852686)Success in time 0.462 s
% 1.81/0.90 % Vampire exiting
%------------------------------------------------------------------------------