%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU185+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:47:38 PM UTC 2026
% Result : Theorem 6.31s 1.76s
% Output : Refutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 117 ( 25 unt; 5 def)
% Number of atoms : 451 ( 62 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 577 ( 243 ~; 250 |; 56 &)
% ( 15 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 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 : 289 ( 257 !; 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(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
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(f34,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(relation_composition(X1,X0)) = relation_rng(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_relat_1) ).
fof(f35,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_dom(X0),relation_rng(X1))
=> relation_rng(relation_composition(X1,X0)) = relation_rng(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(f54,plain,
? [X0] :
( ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& subset(relation_dom(X0),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( relation_rng(X0) != relation_rng(relation_composition(X1,X0))
& subset(relation_dom(X0),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f54]) ).
fof(f62,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f63,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f62]) ).
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_rng(sK17) != relation_rng(relation_composition(sK18,sK17))
& subset(relation_dom(sK17),relation_rng(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(f88,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f90,plain,
! [X0,X1] :
( in(sK0(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f91,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
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(f96,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK6(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f72]) ).
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(f101,plain,
! [X2,X0,X1,X8,X7] :
( 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(cnf_transformation,[],[f75]) ).
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(f128,plain,
relation(sK17),
inference(cnf_transformation,[],[f83]) ).
fof(f129,plain,
relation(sK18),
inference(cnf_transformation,[],[f83]) ).
fof(f130,plain,
subset(relation_dom(sK17),relation_rng(sK18)),
inference(cnf_transformation,[],[f83]) ).
fof(f131,plain,
relation_rng(sK17) != relation_rng(relation_composition(sK18,sK17)),
inference(cnf_transformation,[],[f83]) ).
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(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(f144,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f96,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(f150,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK10(X0,X1,X7,X8),X8),singleton(sK10(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f101,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(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(f157,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK6(X0,X5),X5),singleton(sK6(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f144]) ).
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(f160,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK10(X0,X1,X7,X8),X8),singleton(sK10(X0,X1,X7,X8))),X1)
| ~ 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,[],[f150]) ).
fof(f161,definition,
sF19 = relation_rng(sK17),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f162,plain,
relation_rng(sK17) = sF19,
inference(reorient_equations,[],[f161]) ).
fof(f163,definition,
sF20 = relation_composition(sK18,sK17),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f164,plain,
relation_composition(sK18,sK17) = sF20,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF21 = relation_rng(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f166,plain,
relation_rng(sF20) = sF21,
inference(reorient_equations,[],[f165]) ).
fof(f167,plain,
sF19 != sF21,
inference(definition_folding,[],[f131,f166,f164,f162]) ).
fof(f168,definition,
sF22 = relation_dom(sK17),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f169,plain,
relation_dom(sK17) = sF22,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF23 = relation_rng(sK18),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f171,plain,
relation_rng(sK18) = sF23,
inference(reorient_equations,[],[f170]) ).
fof(f172,plain,
subset(sF22,sF23),
inference(definition_folding,[],[f130,f171,f169]) ).
fof(f173,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK10(X0,X1,X7,X8),X8),singleton(sK10(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f160,f107]) ).
fof(f175,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(unordered_pair(X9,X8),singleton(X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),singleton(X7)),X0)
| in(unordered_pair(unordered_pair(X7,X8),singleton(X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f158,f107]) ).
fof(f186,plain,
! [X0] :
( ~ in(X0,sF22)
| in(X0,sF23) ),
inference(resolution,[],[f89,f172]) ).
fof(f206,plain,
! [X0,X1] :
( ~ in(X0,relation_rng(X1))
| ~ relation(X1)
| in(sK6(X1,X0),relation_dom(X1))
| ~ relation(X1) ),
inference(resolution,[],[f157,f154]) ).
fof(f210,plain,
! [X0,X1] :
( in(sK6(X1,X0),relation_dom(X1))
| ~ relation(X1)
| ~ in(X0,relation_rng(X1)) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X3,X1),singleton(X3)),X4)
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
| in(unordered_pair(unordered_pair(X3,X0),singleton(X3)),relation_composition(X4,X2))
| ~ relation(X2)
| ~ relation(X4) ),
inference(superposition,[],[f175,f85]) ).
fof(f238,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK6(X1,X0)),singleton(sK6(X1,X0))),X1)
| ~ in(X0,relation_rng(X1))
| ~ relation(X1) ),
inference(superposition,[],[f157,f85]) ).
fof(f270,plain,
( relation(sF20)
| ~ relation(sK18)
| ~ relation(sK17) ),
inference(superposition,[],[f107,f164]) ).
fof(f271,plain,
( relation(sF20)
| ~ relation(sK17) ),
inference(forward_subsumption_resolution,[],[f270,f129]) ).
fof(f272,plain,
relation(sF20),
inference(forward_subsumption_resolution,[],[f271,f128]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
| in(unordered_pair(unordered_pair(sK6(X3,X1),X0),singleton(sK6(X3,X1))),relation_composition(X3,X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(X1,relation_rng(X3))
| ~ relation(X3) ),
inference(resolution,[],[f229,f157]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(sK6(X3,X1),X0),singleton(sK6(X3,X1))),relation_composition(X3,X2))
| ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
| ~ relation(X2)
| ~ relation(X3)
| ~ in(X1,relation_rng(X3)) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(X1,relation_rng(X3))
| ~ relation(X3) ),
inference(resolution,[],[f173,f156]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(X1,relation_rng(X3)) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f317,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF20)
| ~ relation(sK17)
| ~ relation(sK18)
| in(X1,relation_rng(sK17)) ),
inference(superposition,[],[f305,f164]) ).
fof(f318,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF20)
| ~ relation(sK18)
| in(X1,relation_rng(sK17)) ),
inference(forward_subsumption_resolution,[],[f317,f128]) ).
fof(f323,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF20)
| in(X1,relation_rng(sK17)) ),
inference(forward_subsumption_resolution,[],[f318,f129]) ).
fof(f324,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF20)
| in(X1,sF19) ),
inference(forward_demodulation,[],[f323,f162]) ).
fof(f328,plain,
! [X0] :
( in(X0,sF19)
| ~ in(X0,relation_rng(sF20))
| ~ relation(sF20) ),
inference(resolution,[],[f324,f157]) ).
fof(f333,plain,
! [X0] :
( in(X0,sF19)
| ~ in(X0,relation_rng(sF20)) ),
inference(forward_subsumption_resolution,[],[f328,f272]) ).
fof(f337,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF19) ),
inference(forward_demodulation,[],[f333,f166]) ).
fof(f346,plain,
! [X0] :
( in(sK0(sF21,X0),sF19)
| subset(sF21,X0) ),
inference(resolution,[],[f337,f90]) ).
fof(f383,plain,
( subset(sF21,sF19)
| subset(sF21,sF19) ),
inference(resolution,[],[f346,f91]) ).
fof(f384,plain,
subset(sF21,sF19),
inference(duplicate_literal_removal,[],[f383]) ).
fof(f386,plain,
( ~ subset(sF19,sF21)
| sF19 = sF21 ),
inference(resolution,[],[f384,f88]) ).
fof(f387,plain,
~ subset(sF19,sF21),
inference(forward_subsumption_resolution,[],[f386,f167]) ).
fof(f692,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK6(sK18,X0),X1),singleton(sK6(sK18,X0))),sF20)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17)
| ~ relation(sK17)
| ~ relation(sK18)
| ~ in(X0,relation_rng(sK18)) ),
inference(superposition,[],[f280,f164]) ).
fof(f700,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK6(sK18,X0),X1),singleton(sK6(sK18,X0))),sF20)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17)
| ~ relation(sK18)
| ~ in(X0,relation_rng(sK18)) ),
inference(forward_subsumption_resolution,[],[f692,f128]) ).
fof(f712,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK6(sK18,X0),X1),singleton(sK6(sK18,X0))),sF20)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17)
| ~ in(X0,relation_rng(sK18)) ),
inference(forward_subsumption_resolution,[],[f700,f129]) ).
fof(f713,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK6(sK18,X0),X1),singleton(sK6(sK18,X0))),sF20)
| ~ in(X0,sF23)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17) ),
inference(forward_demodulation,[],[f712,f171]) ).
fof(f725,plain,
! [X0,X1] :
( ~ in(X0,sF23)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17)
| in(X1,relation_rng(sF20))
| ~ relation(sF20) ),
inference(resolution,[],[f713,f156]) ).
fof(f742,plain,
! [X0,X1] :
( ~ in(X0,sF23)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17)
| in(X1,relation_rng(sF20)) ),
inference(forward_subsumption_resolution,[],[f725,f272]) ).
fof(f749,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK17)
| ~ in(X0,sF23)
| in(X1,sF21) ),
inference(forward_demodulation,[],[f742,f166]) ).
fof(f752,plain,
! [X0] :
( ~ in(sK6(sK17,X0),sF23)
| in(X0,sF21)
| ~ in(X0,relation_rng(sK17))
| ~ relation(sK17) ),
inference(resolution,[],[f749,f238]) ).
fof(f759,plain,
! [X0] :
( ~ in(sK6(sK17,X0),sF23)
| in(X0,sF21)
| ~ in(X0,relation_rng(sK17)) ),
inference(forward_subsumption_resolution,[],[f752,f128]) ).
fof(f760,plain,
! [X0] :
( ~ in(sK6(sK17,X0),sF23)
| ~ in(X0,sF19)
| in(X0,sF21) ),
inference(forward_demodulation,[],[f759,f162]) ).
fof(f861,plain,
! [X0] :
( in(sK6(sK17,X0),sF22)
| ~ relation(sK17)
| ~ in(X0,relation_rng(sK17)) ),
inference(superposition,[],[f210,f169]) ).
fof(f862,plain,
! [X0] :
( in(sK6(sK17,X0),sF22)
| ~ in(X0,relation_rng(sK17)) ),
inference(forward_subsumption_resolution,[],[f861,f128]) ).
fof(f863,plain,
! [X0] :
( in(sK6(sK17,X0),sF22)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f862,f162]) ).
fof(f864,plain,
! [X0] :
( in(sK6(sK17,X0),sF23)
| ~ in(X0,sF19) ),
inference(resolution,[],[f863,f186]) ).
fof(f902,plain,
! [X0] :
( ~ in(X0,sF19)
| ~ in(X0,sF19)
| in(X0,sF21) ),
inference(resolution,[],[f864,f760]) ).
fof(f903,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF21) ),
inference(duplicate_literal_removal,[],[f902]) ).
fof(f916,plain,
! [X0] :
( in(sK0(sF19,X0),sF21)
| subset(sF19,X0) ),
inference(resolution,[],[f903,f90]) ).
fof(f966,plain,
( subset(sF19,sF21)
| subset(sF19,sF21) ),
inference(resolution,[],[f916,f91]) ).
fof(f968,plain,
subset(sF19,sF21),
inference(duplicate_literal_removal,[],[f966]) ).
fof(f969,plain,
$false,
inference(forward_subsumption_resolution,[],[f968,f387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU185+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 03:56:40 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.31/1.76 % (1853541)Detected formulas, will run a generic FOF schedule.
% 6.31/1.76 % (1853551)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=463191616:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.31/1.76 % (1853552)dis-21_1_sil=8000:lcm=predicate:random_seed=1552083776:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.31/1.76 % (1853550)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3837524971:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.31/1.76 % (1853549)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2366304803:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.31/1.76 % (1853548)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2110623022:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.31/1.76 % (1853547)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2659814608:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.31/1.76 % (1853546)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3114878509:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.31/1.76 % (1853549)Refutation not found, incomplete strategy
% 6.31/1.76 % (1853549)------------------------------
% 6.31/1.76 % (1853549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853549)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853549)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.76 % (1853549)Time elapsed: 0.003 s
% 6.31/1.76 % (1853549)Peak memory usage: 88 MB
% 6.31/1.76 % (1853549)Instructions burned: 3 (million)
% 6.31/1.76 % (1853550)Instruction limit reached!
% 6.31/1.76 % (1853550)------------------------------
% 6.31/1.76 % (1853550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853550)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853550)Termination reason: Instruction limit
% 6.31/1.76 % (1853550)Termination phase: Saturation
% 6.31/1.76 % (1853550)Time elapsed: 0.069 s
% 6.31/1.76 % (1853550)Peak memory usage: 88 MB
% 6.31/1.76 % (1853550)Instructions burned: 119 (million)
% 6.31/1.76 % (1853552)Instruction limit reached!
% 6.31/1.76 % (1853552)------------------------------
% 6.31/1.76 % (1853552)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853552)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853552)Termination reason: Instruction limit
% 6.31/1.76 % (1853552)Termination phase: Saturation
% 6.31/1.76 % (1853552)Time elapsed: 0.078 s
% 6.31/1.76 % (1853552)Peak memory usage: 90 MB
% 6.31/1.76 % (1853552)Instructions burned: 130 (million)
% 6.31/1.76 % (1853551)Instruction limit reached!
% 6.31/1.76 % (1853551)------------------------------
% 6.31/1.76 % (1853551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853551)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853551)Termination reason: Instruction limit
% 6.31/1.76 % (1853551)Termination phase: Saturation
% 6.31/1.76 % (1853551)Time elapsed: 0.098 s
% 6.31/1.76 % (1853551)Peak memory usage: 90 MB
% 6.31/1.76 % (1853551)Instructions burned: 139 (million)
% 6.31/1.76 % (1853560)lrs+10_1_sil=8000:sp=occurrence:random_seed=1982771801:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.31/1.76 % (1853561)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3023644955:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.31/1.76 % (1853562)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2535500883:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.31/1.76 % (1853549)------------------------------
% 6.31/1.76 % (1853549)------------------------------
% 6.31/1.76 % (1853560)Instruction limit reached!
% 6.31/1.76 % (1853560)------------------------------
% 6.31/1.76 % (1853560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853560)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853560)Termination reason: Instruction limit
% 6.31/1.76 % (1853560)Termination phase: Saturation
% 6.31/1.76 % (1853560)Time elapsed: 0.092 s
% 6.31/1.76 % (1853560)Peak memory usage: 91 MB
% 6.31/1.76 % (1853560)Instructions burned: 286 (million)
% 6.31/1.76 % (1853561)Instruction limit reached!
% 6.31/1.76 % (1853561)------------------------------
% 6.31/1.76 % (1853561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853561)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853561)Termination reason: Instruction limit
% 6.31/1.76 % (1853561)Termination phase: Saturation
% 6.31/1.76 % (1853561)Time elapsed: 0.079 s
% 6.31/1.76 % (1853561)Peak memory usage: 92 MB
% 6.31/1.76 % (1853561)Instructions burned: 158 (million)
% 6.31/1.76 % (1853566)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=4280616267:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.31/1.76 % (1853567)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4108482079:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.31/1.76 % (1853567)Refutation not found, incomplete strategy
% 6.31/1.76 % (1853567)------------------------------
% 6.31/1.76 % (1853567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853567)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853567)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.76 % (1853567)Time elapsed: 0.004 s
% 6.31/1.76 % (1853567)Peak memory usage: 89 MB
% 6.31/1.76 % (1853567)Instructions burned: 4 (million)
% 6.31/1.76 % (1853566)Instruction limit reached!
% 6.31/1.76 % (1853566)------------------------------
% 6.31/1.76 % (1853566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853566)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853566)Termination reason: Instruction limit
% 6.31/1.76 % (1853566)Termination phase: Saturation
% 6.31/1.76 % (1853566)Time elapsed: 0.071 s
% 6.31/1.76 % (1853566)Peak memory usage: 95 MB
% 6.31/1.76 % (1853566)Instructions burned: 250 (million)
% 6.31/1.76 % (1853568)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4069921211:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.31/1.76 % (1853562)Instruction limit reached!
% 6.31/1.76 % (1853562)------------------------------
% 6.31/1.76 % (1853562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853562)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853562)Termination reason: Instruction limit
% 6.31/1.76 % (1853562)Termination phase: Saturation
% 6.31/1.76 % (1853562)Time elapsed: 0.217 s
% 6.31/1.76 % (1853562)Peak memory usage: 92 MB
% 6.31/1.76 % (1853562)Instructions burned: 326 (million)
% 6.31/1.76 % (1853571)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3174387828:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.31/1.76 % (1853571)Instruction limit reached!
% 6.31/1.76 % (1853571)------------------------------
% 6.31/1.76 % (1853571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853571)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853571)Termination reason: Instruction limit
% 6.31/1.76 % (1853571)Termination phase: Saturation
% 6.31/1.76 % (1853571)Time elapsed: 0.041 s
% 6.31/1.76 % (1853571)Peak memory usage: 90 MB
% 6.31/1.76 % (1853571)Instructions burned: 115 (million)
% 6.31/1.76 % (1853573)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1586777660:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.31/1.76 % (1853575)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=479318509:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.31/1.76 % (1853567)------------------------------
% 6.31/1.76 % (1853567)------------------------------
% 6.31/1.76 % (1853573)Instruction limit reached!
% 6.31/1.76 % (1853573)------------------------------
% 6.31/1.76 % (1853573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853573)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853573)Termination reason: Instruction limit
% 6.31/1.76 % (1853573)Termination phase: Saturation
% 6.31/1.76 % (1853573)Time elapsed: 0.069 s
% 6.31/1.76 % (1853573)Peak memory usage: 89 MB
% 6.31/1.76 % (1853573)Instructions burned: 129 (million)
% 6.31/1.76 % (1853575)Instruction limit reached!
% 6.31/1.76 % (1853575)------------------------------
% 6.31/1.76 % (1853575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853575)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853575)Termination reason: Instruction limit
% 6.31/1.76 % (1853575)Termination phase: Saturation
% 6.31/1.76 % (1853575)Time elapsed: 0.037 s
% 6.31/1.76 % (1853575)Peak memory usage: 89 MB
% 6.31/1.76 % (1853575)Instructions burned: 116 (million)
% 6.31/1.76 % (1853546)First to succeed.
% 6.31/1.76 % (1853580)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1303584245:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.31/1.76 % (1853546)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1853541"
% 6.31/1.76 % (1853578)lrs+10_1_sil=8000:sp=occurrence:random_seed=1409434417:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.31/1.76 % (1853579)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1537641242:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.31/1.76 % (1853579)Refutation not found, incomplete strategy
% 6.31/1.76 % (1853579)------------------------------
% 6.31/1.76 % (1853579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.31/1.76 % (1853579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.76 % (1853579)CaDiCaL version: 2.1.3
% 6.31/1.76 % (1853579)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.76 % (1853579)Time elapsed: 0.003 s
% 6.31/1.76 % (1853579)Peak memory usage: 88 MB
% 6.31/1.76 % (1853579)Instructions burned: 3 (million)
% 6.31/1.76 % (1853579)------------------------------
% 6.31/1.76 % (1853579)------------------------------
% 6.31/1.76 % (1853546)Refutation found. Thanks to Tanya!
% 6.31/1.76 % SZS status Theorem for theBenchmark
% 6.31/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 8.45/1.95 % (1853546)------------------------------
% 8.45/1.95 % (1853546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/1.95 % (1853546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/1.95 % (1853546)CaDiCaL version: 2.1.3
% 8.45/1.95 % (1853546)Termination reason: Refutation
% 8.45/1.95 % (1853546)Time elapsed: 0.750 s
% 8.45/1.95 % (1853546)Peak memory usage: 129 MB
% 8.45/1.95 % (1853546)Instructions burned: 1091 (million)
% 8.45/1.95 % (1853546)------------------------------
% 8.45/1.95 % (1853546)------------------------------
% 8.45/1.95 % (1853541)Success in time 1.14 s
% 8.45/1.95 % Vampire exiting
%------------------------------------------------------------------------------