%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU184+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 : n010.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 2.25s 0.85s
% Output : Refutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 121 ( 28 unt; 5 def)
% Number of atoms : 442 ( 70 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 541 ( 220 ~; 241 |; 51 &)
% ( 14 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-4 aty)
% Number of variables : 269 ( 237 !; 32 ?)
% 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(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(f8,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(f16,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f33,axiom,
! [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(f34,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f44,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(f45,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(f46,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,[],[f8]) ).
fof(f47,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f48,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f47]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( relation_dom(X0) != relation_dom(relation_composition(X0,X1))
& subset(relation_rng(X0),relation_dom(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( relation_dom(X0) != relation_dom(relation_composition(X0,X1))
& subset(relation_rng(X0),relation_dom(X1))
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f64,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,[],[f43]) ).
fof(f65,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,[],[f64]) ).
fof(f66,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))],[f65]) ).
fof(f67,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,[],[f44]) ).
fof(f68,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,[],[f67]) ).
fof(f69,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))],[f68]) ).
fof(f70,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,[],[f45]) ).
fof(f71,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,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK4(X0,X1)),X0)
| ~ in(sK4(X0,X1),X1) )
& ( in(ordered_pair(sK5(X0,X1),sK4(X0,X1)),X0)
| in(sK4(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(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))],[f71]) ).
fof(f73,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,[],[f46]) ).
fof(f74,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,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK7(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK8(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK7(X0,X1,X2),sK8(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK7(X0,X1,X2),sK9(X0,X1,X2)),X0)
& in(ordered_pair(sK9(X0,X1,X2),sK8(X0,X1,X2)),X1) )
| in(ordered_pair(sK7(X0,X1,X2),sK8(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,sK10(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK10(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,[sK7,sK8,sK9,sK10]),skolemize(X3,sK7(X0,X1,X2)),skolemize(X4,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2)),skolemize(X10,sK10(X0,X1,X7,X8))],[f74]) ).
fof(f83,plain,
( relation_dom(sK17) != relation_dom(relation_composition(sK17,sK18))
& subset(relation_rng(sK17),relation_dom(sK18))
& relation(sK18)
& relation(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f55]) ).
fof(f85,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f92,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK3(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f93,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f94,plain,
! [X0,X1] :
( relation_dom(X0) = X1
| in(ordered_pair(sK1(X0,X1),sK2(X0,X1)),X0)
| in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f95,plain,
! [X3,X0,X1] :
( relation_dom(X0) = X1
| ~ in(ordered_pair(sK1(X0,X1),X3),X0)
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f97,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f100,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f7]) ).
fof(f103,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(ordered_pair(X7,X8),X2)
| ~ in(ordered_pair(X7,X9),X0)
| ~ in(ordered_pair(X9,X8),X1)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f107,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f127,plain,
! [X0,X1] :
( subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f128,plain,
relation(sK17),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
relation(sK18),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
subset(relation_rng(sK17),relation_dom(sK18)),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
relation_dom(sK17) != relation_dom(relation_composition(sK17,sK18)),
inference(cnf_transformation,[],[f83]) ).
fof(f137,plain,
! [X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(sK1(X0,X1),X3),singleton(sK1(X0,X1))),X0)
| relation_dom(X0) = X1
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f95,f100]) ).
fof(f138,plain,
! [X0,X1] :
( ~ relation(X0)
| in(unordered_pair(unordered_pair(sK1(X0,X1),sK2(X0,X1)),singleton(sK1(X0,X1))),X0)
| in(sK1(X0,X1),X1)
| relation_dom(X0) = X1 ),
inference(definition_unfolding,[],[f94,f100]) ).
fof(f139,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,[],[f93,f100]) ).
fof(f140,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,[],[f92,f100]) ).
fof(f143,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,[],[f97,f100]) ).
fof(f148,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f103,f100,f100,f100]) ).
fof(f154,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f139]) ).
fof(f155,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,[],[f140]) ).
fof(f156,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f143]) ).
fof(f158,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f148]) ).
fof(f161,definition,
sF19 = relation_dom(sK17),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f162,plain,
relation_dom(sK17) = sF19,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF20 = relation_composition(sK17,sK18),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f164,plain,
relation_composition(sK17,sK18) = sF20,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF21 = relation_dom(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f166,plain,
relation_dom(sF20) = sF21,
inference(reorient_equations,[],[f165]) ).
fof(f167,plain,
sF19 != sF21,
inference(definition_folding,[],[f131,f166,f164,f162]) ).
fof(f168,definition,
sF22 = relation_rng(sK17),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f169,plain,
relation_rng(sK17) = sF22,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF23 = relation_dom(sK18),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f171,plain,
relation_dom(sK18) = sF23,
inference(reorient_equations,[],[f170]) ).
fof(f172,plain,
subset(sF22,sF23),
inference(definition_folding,[],[f130,f171,f169]) ).
fof(f175,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f158,f107]) ).
fof(f178,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f175,f85]) ).
fof(f181,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X9)),X0)
| in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f178,f85]) ).
fof(f183,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(singleton(X9),unordered_pair(X9,X8)),X1)
| ~ in(unordered_pair(singleton(X7),unordered_pair(X7,X9)),X0)
| in(unordered_pair(singleton(X7),unordered_pair(X7,X8)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_demodulation,[],[f181,f85]) ).
fof(f215,plain,
( relation(sF20)
| ~ relation(sK17)
| ~ relation(sK18) ),
inference(superposition,[],[f107,f164]) ).
fof(f216,plain,
( relation(sF20)
| ~ relation(sK18) ),
inference(forward_subsumption_resolution,[],[f215,f128]) ).
fof(f217,plain,
relation(sF20),
inference(forward_subsumption_resolution,[],[f216,f129]) ).
fof(f254,plain,
! [X0] :
( ~ in(X0,sF22)
| in(X0,sF23) ),
inference(resolution,[],[f89,f172]) ).
fof(f292,plain,
( subset(relation_dom(sF20),relation_dom(sK17))
| ~ relation(sK18)
| ~ relation(sK17) ),
inference(superposition,[],[f127,f164]) ).
fof(f299,plain,
( subset(relation_dom(sF20),relation_dom(sK17))
| ~ relation(sK17) ),
inference(forward_subsumption_resolution,[],[f292,f129]) ).
fof(f300,plain,
subset(relation_dom(sF20),relation_dom(sK17)),
inference(forward_subsumption_resolution,[],[f299,f128]) ).
fof(f301,plain,
subset(relation_dom(sF20),sF19),
inference(forward_demodulation,[],[f300,f162]) ).
fof(f302,plain,
subset(sF21,sF19),
inference(forward_demodulation,[],[f301,f166]) ).
fof(f303,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF19) ),
inference(resolution,[],[f302,f89]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(superposition,[],[f154,f85]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(superposition,[],[f156,f85]) ).
fof(f325,plain,
! [X0] :
( ~ in(X0,sF19)
| in(unordered_pair(unordered_pair(X0,sK3(sK17,X0)),singleton(X0)),sK17)
| ~ relation(sK17) ),
inference(superposition,[],[f155,f162]) ).
fof(f327,plain,
! [X0] :
( ~ in(X0,sF23)
| in(unordered_pair(unordered_pair(X0,sK3(sK18,X0)),singleton(X0)),sK18)
| ~ relation(sK18) ),
inference(superposition,[],[f155,f171]) ).
fof(f328,plain,
! [X0] :
( ~ in(X0,sF23)
| in(unordered_pair(unordered_pair(X0,sK3(sK18,X0)),singleton(X0)),sK18) ),
inference(forward_subsumption_resolution,[],[f327,f129]) ).
fof(f330,plain,
! [X0] :
( ~ in(X0,sF19)
| in(unordered_pair(unordered_pair(X0,sK3(sK17,X0)),singleton(X0)),sK17) ),
inference(forward_subsumption_resolution,[],[f325,f128]) ).
fof(f331,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK18,X0))),sK18)
| ~ in(X0,sF23) ),
inference(forward_demodulation,[],[f328,f85]) ).
fof(f333,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK17,X0))),sK17)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f330,f85]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(sK1(X0,X1)),unordered_pair(sK1(X0,X1),X2)),X0)
| relation_dom(X0) = X1
| ~ in(sK1(X0,X1),X1)
| ~ relation(X0) ),
inference(superposition,[],[f137,f85]) ).
fof(f357,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK1(sK17,X0),sK2(sK17,X0)),singleton(sK1(sK17,X0))),sK17)
| in(sK1(sK17,X0),X0)
| relation_dom(sK17) = X0 ),
inference(resolution,[],[f138,f128]) ).
fof(f362,plain,
! [X0] :
( in(unordered_pair(singleton(sK1(sK17,X0)),unordered_pair(sK1(sK17,X0),sK2(sK17,X0))),sK17)
| in(sK1(sK17,X0),X0)
| relation_dom(sK17) = X0 ),
inference(forward_demodulation,[],[f357,f85]) ).
fof(f368,plain,
! [X0] :
( in(unordered_pair(singleton(sK1(sK17,X0)),unordered_pair(sK1(sK17,X0),sK2(sK17,X0))),sK17)
| sF19 = X0
| in(sK1(sK17,X0),X0) ),
inference(forward_demodulation,[],[f362,f162]) ).
fof(f479,plain,
! [X2,X0,X1] :
( ~ in(X0,sF23)
| ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),X2)
| in(unordered_pair(singleton(X1),unordered_pair(X1,sK3(sK18,X0))),relation_composition(X2,sK18))
| ~ relation(sK18)
| ~ relation(X2) ),
inference(resolution,[],[f331,f183]) ).
fof(f480,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(singleton(X1),unordered_pair(X1,X0)),X2)
| ~ in(X0,sF23)
| in(unordered_pair(singleton(X1),unordered_pair(X1,sK3(sK18,X0))),relation_composition(X2,sK18))
| ~ relation(X2) ),
inference(forward_subsumption_resolution,[],[f479,f129]) ).
fof(f741,plain,
! [X0] :
( in(sK1(sK17,X0),relation_dom(sK17))
| ~ relation(sK17)
| sF19 = X0
| in(sK1(sK17,X0),X0) ),
inference(resolution,[],[f310,f368]) ).
fof(f744,plain,
! [X0] :
( in(sK1(sK17,X0),relation_dom(sK17))
| sF19 = X0
| in(sK1(sK17,X0),X0) ),
inference(forward_subsumption_resolution,[],[f741,f128]) ).
fof(f750,plain,
! [X0] :
( in(sK1(sK17,X0),sF19)
| in(sK1(sK17,X0),X0)
| sF19 = X0 ),
inference(forward_demodulation,[],[f744,f162]) ).
fof(f780,plain,
! [X0] :
( in(sK3(sK17,X0),relation_rng(sK17))
| ~ relation(sK17)
| ~ in(X0,sF19) ),
inference(resolution,[],[f317,f333]) ).
fof(f789,plain,
! [X0] :
( in(sK3(sK17,X0),relation_rng(sK17))
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f780,f128]) ).
fof(f794,plain,
! [X0] :
( in(sK3(sK17,X0),sF22)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f789,f169]) ).
fof(f836,plain,
! [X0] :
( relation_dom(sK17) = X0
| ~ in(sK1(sK17,X0),X0)
| ~ relation(sK17)
| ~ in(sK1(sK17,X0),sF19) ),
inference(resolution,[],[f351,f333]) ).
fof(f841,plain,
! [X0] :
( relation_dom(sK17) = X0
| ~ in(sK1(sK17,X0),X0)
| ~ in(sK1(sK17,X0),sF19) ),
inference(forward_subsumption_resolution,[],[f836,f128]) ).
fof(f845,plain,
! [X0] :
( ~ in(sK1(sK17,X0),sF19)
| ~ in(sK1(sK17,X0),X0)
| sF19 = X0 ),
inference(forward_demodulation,[],[f841,f162]) ).
fof(f860,plain,
! [X0] :
( in(sK3(sK17,X0),sF23)
| ~ in(X0,sF19) ),
inference(resolution,[],[f794,f254]) ).
fof(f1164,plain,
( in(sK1(sK17,sF21),sF19)
| sF19 = sF21
| in(sK1(sK17,sF21),sF19) ),
inference(resolution,[],[f750,f303]) ).
fof(f1168,plain,
( in(sK1(sK17,sF21),sF19)
| sF19 = sF21 ),
inference(duplicate_literal_removal,[],[f1164]) ).
fof(f1188,plain,
in(sK1(sK17,sF21),sF19),
inference(forward_subsumption_resolution,[],[f1168,f167]) ).
fof(f1470,plain,
( ~ in(sK1(sK17,sF21),sF21)
| sF19 = sF21 ),
inference(resolution,[],[f1188,f845]) ).
fof(f1475,plain,
~ in(sK1(sK17,sF21),sF21),
inference(forward_subsumption_resolution,[],[f1470,f167]) ).
fof(f2393,plain,
! [X0] :
( ~ in(sK3(sK17,X0),sF23)
| in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK18,sK3(sK17,X0)))),relation_composition(sK17,sK18))
| ~ relation(sK17)
| ~ in(X0,sF19) ),
inference(resolution,[],[f480,f333]) ).
fof(f2408,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK18,sK3(sK17,X0)))),relation_composition(sK17,sK18))
| ~ relation(sK17)
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f2393,f860]) ).
fof(f2412,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK18,sK3(sK17,X0)))),relation_composition(sK17,sK18))
| ~ in(X0,sF19) ),
inference(forward_subsumption_resolution,[],[f2408,f128]) ).
fof(f2415,plain,
! [X0] :
( in(unordered_pair(singleton(X0),unordered_pair(X0,sK3(sK18,sK3(sK17,X0)))),sF20)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f2412,f164]) ).
fof(f9144,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_dom(sF20))
| ~ relation(sF20) ),
inference(resolution,[],[f2415,f310]) ).
fof(f9157,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_dom(sF20)) ),
inference(forward_subsumption_resolution,[],[f9144,f217]) ).
fof(f9160,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF21) ),
inference(forward_demodulation,[],[f9157,f166]) ).
fof(f12989,plain,
in(sK1(sK17,sF21),sF21),
inference(resolution,[],[f9160,f1188]) ).
fof(f13008,plain,
$false,
inference(forward_subsumption_resolution,[],[f12989,f1475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU184+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 03:57:24 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.41 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
% 2.25/0.84 % (1541065)Will run a generic schedule for satisfiability detection.
% 2.25/0.84 % (1541076)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3789851265:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.25/0.84 % (1541071)% WARNING: option uhcvi not known.
% 2.25/0.84 % (1541074)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2135094160:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.25/0.84 % (1541070)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2025418519_2999 on theBenchmark for (2999ds/0Mi)
% 2.25/0.84 % (1541073)dis+10_1_sil=32000:sp=arity:random_seed=284297088:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.25/0.84 % (1541072)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4215154713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.25/0.84 % (1541075)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=271246233:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.25/0.84 % (1541071)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2330787533:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.25/0.84 % TRYING [1]
% 2.25/0.84 % TRYING [2]
% 2.25/0.84 % TRYING [3]
% 2.25/0.84 % TRYING [4]
% 2.25/0.84 % (1541076)Instruction limit reached!
% 2.25/0.84 % (1541076)------------------------------
% 2.25/0.84 % (1541076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.84 % (1541076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.84 % (1541076)CaDiCaL version: 2.1.3
% 2.25/0.84 % (1541076)Termination reason: Instruction limit
% 2.25/0.84 % (1541076)Termination phase: Saturation
% 2.25/0.84 % (1541076)Time elapsed: 0.056 s
% 2.25/0.84 % (1541076)Peak memory usage: 14 MB
% 2.25/0.84 % (1541076)Instructions burned: 161 (million)
% 2.25/0.84 % (1541084)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2457241836:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.25/0.84 % TRYING [1]
% 2.25/0.84 % TRYING [2]
% 2.25/0.84 % (1541073)Instruction limit reached!
% 2.25/0.84 % (1541073)------------------------------
% 2.25/0.84 % (1541073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.84 % (1541073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.84 % (1541073)CaDiCaL version: 2.1.3
% 2.25/0.84 % (1541073)Termination reason: Instruction limit
% 2.25/0.84 % (1541073)Termination phase: Saturation
% 2.25/0.84 % (1541073)Time elapsed: 0.066 s
% 2.25/0.84 % (1541073)Peak memory usage: 12 MB
% 2.25/0.84 % (1541073)Instructions burned: 104 (million)
% 2.25/0.84 % TRYING [3]
% 2.25/0.84 % (1541074)Instruction limit reached!
% 2.25/0.84 % (1541074)------------------------------
% 2.25/0.84 % (1541074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.84 % (1541074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.84 % (1541074)CaDiCaL version: 2.1.3
% 2.25/0.84 % (1541074)Termination reason: Instruction limit
% 2.25/0.84 % (1541074)Termination phase: Saturation
% 2.25/0.84 % (1541074)Time elapsed: 0.071 s
% 2.25/0.84 % (1541074)Peak memory usage: 13 MB
% 2.25/0.84 % (1541074)Instructions burned: 117 (million)
% 2.25/0.84 % (1541075)Instruction limit reached!
% 2.25/0.84 % (1541075)------------------------------
% 2.25/0.84 % (1541075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.84 % (1541075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.84 % (1541075)CaDiCaL version: 2.1.3
% 2.25/0.84 % (1541075)Termination reason: Instruction limit
% 2.25/0.84 % (1541075)Termination phase: Saturation
% 2.25/0.84 % (1541075)Time elapsed: 0.072 s
% 2.25/0.84 % (1541075)Peak memory usage: 13 MB
% 2.25/0.84 % (1541075)Instructions burned: 133 (million)
% 2.25/0.84 % TRYING [4]
% 2.25/0.84 % (1541086)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=217203437:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.25/0.84 % (1541087)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=820055920:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.25/0.84 % (1541088)ott-21_1_sil=16000:fs=off:random_seed=669451248:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.25/0.84 % TRYING [5]
% 2.25/0.84 % TRYING [5]
% 2.25/0.84 % (1541086)Instruction limit reached!
% 2.25/0.84 % (1541086)------------------------------
% 2.25/0.84 % (1541086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.85 % (1541086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.85 % (1541086)CaDiCaL version: 2.1.3
% 2.25/0.85 % (1541086)Termination reason: Instruction limit
% 2.25/0.85 % (1541086)Termination phase: Saturation
% 2.25/0.85 % (1541086)Time elapsed: 0.078 s
% 2.25/0.85 % (1541086)Peak memory usage: 14 MB
% 2.25/0.85 % (1541086)Instructions burned: 133 (million)
% 2.25/0.85 % (1541092)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3266932179:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.25/0.85 % (1541088)Instruction limit reached!
% 2.25/0.85 % (1541088)------------------------------
% 2.25/0.85 % (1541088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.85 % (1541088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.85 % (1541088)CaDiCaL version: 2.1.3
% 2.25/0.85 % (1541088)Termination reason: Instruction limit
% 2.25/0.85 % (1541088)Termination phase: Saturation
% 2.25/0.85 % (1541088)Time elapsed: 0.098 s
% 2.25/0.85 % (1541088)Peak memory usage: 13 MB
% 2.25/0.85 % (1541088)Instructions burned: 181 (million)
% 2.25/0.85 % (1541084)Instruction limit reached!
% 2.25/0.85 % (1541084)------------------------------
% 2.25/0.85 % (1541084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.85 % (1541084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.85 % (1541084)CaDiCaL version: 2.1.3
% 2.25/0.85 % (1541084)Termination reason: Instruction limit
% 2.25/0.85 % (1541084)Termination phase: Finite model building constraint generation
% 2.25/0.85 % (1541084)Time elapsed: 0.143 s
% 2.25/0.85 % (1541084)Peak memory usage: 36 MB
% 2.25/0.85 % (1541084)Instructions burned: 714 (million)
% 2.25/0.85 % (1541094)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4233297367:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.25/0.85 % TRYING [1]
% 2.25/0.85 % (1541095)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3611738897:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.25/0.85 % TRYING [2]
% 2.25/0.85 % TRYING [3]
% 2.25/0.85 % TRYING [4]
% 2.25/0.85 % (1541095) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1541065-1541095"...
% 2.25/0.85 % (1541095)...printing done.
% 2.25/0.85 % (1541095)Refutation found. Thanks to Tanya!
% 2.25/0.85 % SZS status Theorem for theBenchmark
% 2.25/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.25/0.85 % (1541095)------------------------------
% 2.25/0.85 % (1541095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.85 % (1541095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.85 % (1541095)CaDiCaL version: 2.1.3
% 2.25/0.85 % (1541095)Termination reason: Refutation
% 2.25/0.85 % (1541095)Time elapsed: 0.171 s
% 2.25/0.85 % (1541095)Peak memory usage: 19 MB
% 2.25/0.85 % (1541095)Instructions burned: 515 (million)
% 2.25/0.85 % (1541065)Success in time 0.43 s
% 2.25/0.85 % Vampire exiting
%------------------------------------------------------------------------------