%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU207+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 : n016.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 12:47:44 PM UTC 2026
% Result : Theorem 7.62s 1.97s
% Output : Refutation 10.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 118 ( 21 unt; 4 def)
% Number of atoms : 490 ( 66 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 658 ( 286 ~; 297 |; 50 &)
% ( 13 <=>; 11 =>; 0 <=; 1 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 6 con; 0-4 aty)
% Number of variables : 336 ( 306 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,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] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f5,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(f6,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f7,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)
=> relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t160_relat_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> relation_rng(relation_composition(X0,X1)) = relation_image(X1,relation_rng(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f34,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).
fof(f40,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f42,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,[],[f7]) ).
fof(f43,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f44,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f43]) ).
fof(f52,plain,
? [X0] :
( ? [X1] :
( relation_rng(relation_composition(X0,X1)) != relation_image(X1,relation_rng(X0))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f60,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f61,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK0(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK1(X0,X1,X2),sK0(X0,X1,X2)),X0)
& in(sK1(X0,X1,X2),X1) )
| in(sK0(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
& in(sK2(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X5,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X6))],[f61]) ).
fof(f63,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,[],[f41]) ).
fof(f64,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,[],[f63]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK3(X0,X1)),X0)
| ~ in(sK3(X0,X1),X1) )
& ( in(ordered_pair(sK4(X0,X1),sK3(X0,X1)),X0)
| in(sK3(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK5(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X7,sK5(X0,X5))],[f64]) ).
fof(f66,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,[],[f42]) ).
fof(f67,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,[],[f66]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK6(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK7(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK6(X0,X1,X2),sK8(X0,X1,X2)),X0)
& in(ordered_pair(sK8(X0,X1,X2),sK7(X0,X1,X2)),X1) )
| in(ordered_pair(sK6(X0,X1,X2),sK7(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,sK9(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK9(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,[sK6,sK7,sK8,sK9]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2)),skolemize(X6,sK8(X0,X1,X2)),skolemize(X10,sK9(X0,X1,X7,X8))],[f67]) ).
fof(f74,plain,
( relation_rng(relation_composition(sK15,sK16)) != relation_image(sK16,relation_rng(sK15))
& relation(sK16)
& relation(sK15) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15,sK16]),skolemize(X0,sK15),skolemize(X1,sK16)],[f52]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK17(X0,X1),X1)
| ~ in(sK17(X0,X1),X0) )
& ( in(sK17(X0,X1),X1)
| in(sK17(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X2,sK17(X0,X1))],[f75]) ).
fof(f79,plain,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
! [X2,X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f81,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK2(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f82,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f86,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK5(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f87,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f90,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f6]) ).
fof(f91,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK9(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,[],[f68]) ).
fof(f92,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(X7,sK9(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,[],[f68]) ).
fof(f93,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,[],[f68]) ).
fof(f97,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f118,plain,
relation(sK15),
inference(cnf_transformation,[],[f74]) ).
fof(f119,plain,
relation(sK16),
inference(cnf_transformation,[],[f74]) ).
fof(f120,plain,
relation_rng(relation_composition(sK15,sK16)) != relation_image(sK16,relation_rng(sK15)),
inference(cnf_transformation,[],[f74]) ).
fof(f123,plain,
! [X0,X1] :
( in(sK17(X0,X1),X1)
| in(sK17(X0,X1),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f76]) ).
fof(f124,plain,
! [X0,X1] :
( ~ in(sK17(X0,X1),X1)
| X0 = X1
| ~ in(sK17(X0,X1),X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f130,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f82,f90]) ).
fof(f131,plain,
! [X2,X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK2(X0,X1,X6),X6),singleton(sK2(X0,X1,X6))),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(definition_unfolding,[],[f81,f90]) ).
fof(f134,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,[],[f87,f90]) ).
fof(f135,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK5(X0,X5),X5),singleton(sK5(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f86,f90]) ).
fof(f139,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,[],[f93,f90,f90,f90]) ).
fof(f140,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK9(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,[],[f92,f90,f90]) ).
fof(f141,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK9(X0,X1,X7,X8),X8),singleton(sK9(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,[],[f91,f90,f90]) ).
fof(f143,plain,
! [X0,X1,X6,X7] :
( ~ in(unordered_pair(unordered_pair(X7,X6),singleton(X7)),X0)
| in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f130]) ).
fof(f144,plain,
! [X0,X1,X6] :
( in(unordered_pair(unordered_pair(sK2(X0,X1,X6),X6),singleton(sK2(X0,X1,X6))),X0)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f145,plain,
! [X0,X1,X6] :
( in(sK2(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f80]) ).
fof(f146,plain,
! [X0,X6,X5] :
( ~ in(unordered_pair(unordered_pair(X6,X5),singleton(X6)),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f134]) ).
fof(f147,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK5(X0,X5),X5),singleton(sK5(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f135]) ).
fof(f148,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,[],[f139]) ).
fof(f149,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK9(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,[],[f140]) ).
fof(f150,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK9(X0,X1,X7,X8),X8),singleton(sK9(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,[],[f141]) ).
fof(f151,definition,
sF18 = relation_composition(sK15,sK16),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f152,plain,
relation_composition(sK15,sK16) = sF18,
inference(reorient_equations,[],[f151]) ).
fof(f153,definition,
sF19 = relation_rng(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f154,plain,
relation_rng(sF18) = sF19,
inference(reorient_equations,[],[f153]) ).
fof(f155,definition,
sF20 = relation_rng(sK15),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f156,plain,
relation_rng(sK15) = sF20,
inference(reorient_equations,[],[f155]) ).
fof(f157,definition,
sF21 = relation_image(sK16,sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f158,plain,
relation_image(sK16,sF20) = sF21,
inference(reorient_equations,[],[f157]) ).
fof(f159,plain,
sF19 != sF21,
inference(definition_folding,[],[f120,f158,f156,f154,f152]) ).
fof(f160,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK9(X0,X1,X7,X8),X8),singleton(sK9(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,[],[f150,f97]) ).
fof(f161,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(X7,sK9(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,[],[f149,f97]) ).
fof(f162,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,[],[f148,f97]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(sK9(X2,X3,X0,X1),relation_rng(X2))
| ~ relation(X2) ),
inference(resolution,[],[f161,f146]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(sK9(X2,X3,X0,X1),relation_rng(X2)) ),
inference(duplicate_literal_removal,[],[f172]) ).
fof(f185,plain,
( relation(sF18)
| ~ relation(sK15)
| ~ relation(sK16) ),
inference(superposition,[],[f97,f152]) ).
fof(f186,plain,
( relation(sF18)
| ~ relation(sK16) ),
inference(forward_subsumption_resolution,[],[f185,f118]) ).
fof(f187,plain,
relation(sF18),
inference(forward_subsumption_resolution,[],[f186,f119]) ).
fof(f208,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(X1,relation_image(X3,X4))
| ~ in(sK9(X2,X3,X0,X1),X4)
| ~ relation(X3) ),
inference(resolution,[],[f160,f143]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(X1,relation_image(X3,X4))
| ~ in(sK9(X2,X3,X0,X1),X4) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| ~ relation(sK16)
| ~ relation(sK15)
| in(X1,relation_image(sK16,X2))
| ~ in(sK9(sK15,sK16,X0,X1),X2) ),
inference(superposition,[],[f213,f152]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| ~ relation(sK15)
| in(X1,relation_image(sK16,X2))
| ~ in(sK9(sK15,sK16,X0,X1),X2) ),
inference(forward_subsumption_resolution,[],[f222,f119]) ).
fof(f228,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| in(X1,relation_image(sK16,X2))
| ~ in(sK9(sK15,sK16,X0,X1),X2) ),
inference(forward_subsumption_resolution,[],[f223,f118]) ).
fof(f230,plain,
! [X0,X1] :
( in(X0,relation_image(sK16,X1))
| ~ in(sK9(sK15,sK16,sK5(sF18,X0),X0),X1)
| ~ in(X0,relation_rng(sF18))
| ~ relation(sF18) ),
inference(resolution,[],[f228,f147]) ).
fof(f235,plain,
! [X0,X1] :
( in(X0,relation_image(sK16,X1))
| ~ in(sK9(sK15,sK16,sK5(sF18,X0),X0),X1)
| ~ in(X0,relation_rng(sF18)) ),
inference(forward_subsumption_resolution,[],[f230,f187]) ).
fof(f237,plain,
! [X0,X1] :
( ~ in(sK9(sK15,sK16,sK5(sF18,X0),X0),X1)
| in(X0,relation_image(sK16,X1))
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f235,f154]) ).
fof(f335,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,[],[f162,f79]) ).
fof(f357,plain,
! [X2,X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK2(X1,X2,X0)),singleton(sK2(X1,X2,X0))),X1)
| ~ in(X0,relation_image(X1,X2))
| ~ relation(X1) ),
inference(superposition,[],[f144,f79]) ).
fof(f423,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
| in(unordered_pair(unordered_pair(sK5(X3,X1),X0),singleton(sK5(X3,X1))),relation_composition(X3,X2))
| ~ relation(X2)
| ~ relation(X3)
| ~ in(X1,relation_rng(X3))
| ~ relation(X3) ),
inference(resolution,[],[f335,f147]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(sK5(X3,X1),X0),singleton(sK5(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,[],[f423]) ).
fof(f498,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| ~ relation(sK16)
| ~ relation(sK15)
| in(sK9(sK15,sK16,X0,X1),relation_rng(sK15)) ),
inference(superposition,[],[f175,f152]) ).
fof(f499,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| ~ relation(sK15)
| in(sK9(sK15,sK16,X0,X1),relation_rng(sK15)) ),
inference(forward_subsumption_resolution,[],[f498,f119]) ).
fof(f504,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| in(sK9(sK15,sK16,X0,X1),relation_rng(sK15)) ),
inference(forward_subsumption_resolution,[],[f499,f118]) ).
fof(f505,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),sF18)
| in(sK9(sK15,sK16,X0,X1),sF20) ),
inference(forward_demodulation,[],[f504,f156]) ).
fof(f507,plain,
! [X0] :
( in(sK9(sK15,sK16,sK5(sF18,X0),X0),sF20)
| ~ in(X0,relation_rng(sF18))
| ~ relation(sF18) ),
inference(resolution,[],[f505,f147]) ).
fof(f516,plain,
! [X0] :
( in(sK9(sK15,sK16,sK5(sF18,X0),X0),sF20)
| ~ in(X0,relation_rng(sF18)) ),
inference(forward_subsumption_resolution,[],[f507,f187]) ).
fof(f518,plain,
! [X0] :
( in(sK9(sK15,sK16,sK5(sF18,X0),X0),sF20)
| ~ in(X0,sF19) ),
inference(forward_demodulation,[],[f516,f154]) ).
fof(f519,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_image(sK16,sF20))
| ~ in(X0,sF19) ),
inference(resolution,[],[f518,f237]) ).
fof(f520,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,relation_image(sK16,sF20)) ),
inference(duplicate_literal_removal,[],[f519]) ).
fof(f521,plain,
! [X0] :
( ~ in(X0,sF19)
| in(X0,sF21) ),
inference(forward_demodulation,[],[f520,f158]) ).
fof(f533,plain,
! [X0] :
( in(sK17(sF19,X0),sF21)
| in(sK17(sF19,X0),X0)
| sF19 = X0 ),
inference(resolution,[],[f521,f123]) ).
fof(f579,plain,
( in(sK17(sF19,sF21),sF21)
| sF19 = sF21 ),
inference(factoring,[],[f533]) ).
fof(f581,plain,
in(sK17(sF19,sF21),sF21),
inference(forward_subsumption_resolution,[],[f579,f159]) ).
fof(f582,plain,
( sF19 = sF21
| ~ in(sK17(sF19,sF21),sF19) ),
inference(resolution,[],[f581,f124]) ).
fof(f583,plain,
~ in(sK17(sF19,sF21),sF19),
inference(forward_subsumption_resolution,[],[f582,f159]) ).
fof(f1782,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK5(sK15,X0),X1),singleton(sK5(sK15,X0))),sF18)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16)
| ~ relation(sK16)
| ~ relation(sK15)
| ~ in(X0,relation_rng(sK15)) ),
inference(superposition,[],[f434,f152]) ).
fof(f1796,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK5(sK15,X0),X1),singleton(sK5(sK15,X0))),sF18)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16)
| ~ relation(sK15)
| ~ in(X0,relation_rng(sK15)) ),
inference(forward_subsumption_resolution,[],[f1782,f119]) ).
fof(f1814,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK5(sK15,X0),X1),singleton(sK5(sK15,X0))),sF18)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16)
| ~ in(X0,relation_rng(sK15)) ),
inference(forward_subsumption_resolution,[],[f1796,f118]) ).
fof(f1815,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(sK5(sK15,X0),X1),singleton(sK5(sK15,X0))),sF18)
| ~ in(X0,sF20)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16) ),
inference(forward_demodulation,[],[f1814,f156]) ).
fof(f1826,plain,
! [X0,X1] :
( ~ in(X0,sF20)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16)
| in(X1,relation_rng(sF18))
| ~ relation(sF18) ),
inference(resolution,[],[f1815,f146]) ).
fof(f1852,plain,
! [X0,X1] :
( ~ in(X0,sF20)
| ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16)
| in(X1,relation_rng(sF18)) ),
inference(forward_subsumption_resolution,[],[f1826,f187]) ).
fof(f1858,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X0),singleton(X0)),sK16)
| ~ in(X0,sF20)
| in(X1,sF19) ),
inference(forward_demodulation,[],[f1852,f154]) ).
fof(f1862,plain,
! [X0,X1] :
( ~ in(sK2(sK16,X0,X1),sF20)
| in(X1,sF19)
| ~ in(X1,relation_image(sK16,X0))
| ~ relation(sK16) ),
inference(resolution,[],[f1858,f357]) ).
fof(f1871,plain,
! [X0,X1] :
( ~ in(sK2(sK16,X0,X1),sF20)
| in(X1,sF19)
| ~ in(X1,relation_image(sK16,X0)) ),
inference(forward_subsumption_resolution,[],[f1862,f119]) ).
fof(f1872,plain,
! [X0] :
( in(X0,sF19)
| ~ in(X0,relation_image(sK16,sF20))
| ~ in(X0,relation_image(sK16,sF20))
| ~ relation(sK16) ),
inference(resolution,[],[f1871,f145]) ).
fof(f1873,plain,
! [X0] :
( in(X0,sF19)
| ~ in(X0,relation_image(sK16,sF20))
| ~ relation(sK16) ),
inference(duplicate_literal_removal,[],[f1872]) ).
fof(f1874,plain,
! [X0] :
( in(X0,sF19)
| ~ in(X0,relation_image(sK16,sF20)) ),
inference(forward_subsumption_resolution,[],[f1873,f119]) ).
fof(f1875,plain,
! [X0] :
( ~ in(X0,sF21)
| in(X0,sF19) ),
inference(forward_demodulation,[],[f1874,f158]) ).
fof(f1894,plain,
in(sK17(sF19,sF21),sF19),
inference(resolution,[],[f1875,f581]) ).
fof(f1895,plain,
$false,
inference(forward_subsumption_resolution,[],[f1894,f583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU207+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 04:07:48 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 7.62/1.96 % (3246744)Detected formulas, will run a generic FOF schedule.
% 7.62/1.96 % (3246754)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4029686655:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.62/1.96 % (3246755)dis-21_1_sil=8000:lcm=predicate:random_seed=1542936823: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)
% 7.62/1.96 % (3246752)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=279550601:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.62/1.96 % (3246750)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=2976310893:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.62/1.96 % (3246751)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=1482646215:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.62/1.96 % (3246749)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=2710653945:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.62/1.96 % (3246753)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2040100463:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.62/1.96 % (3246752)Refutation not found, incomplete strategy
% 7.62/1.96 % (3246752)------------------------------
% 7.62/1.96 % (3246752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (3246752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (3246752)CaDiCaL version: 2.1.3
% 7.62/1.96 % (3246752)Termination reason: Refutation not found, incomplete strategy
% 7.62/1.96 % (3246752)Time elapsed: 0.003 s
% 7.62/1.96 % (3246752)Peak memory usage: 88 MB
% 7.62/1.96 % (3246752)Instructions burned: 3 (million)
% 7.62/1.96 % (3246754)Instruction limit reached!
% 7.62/1.96 % (3246754)------------------------------
% 7.62/1.96 % (3246754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (3246754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (3246754)CaDiCaL version: 2.1.3
% 7.62/1.96 % (3246754)Termination reason: Instruction limit
% 7.62/1.96 % (3246754)Termination phase: Saturation
% 7.62/1.96 % (3246754)Time elapsed: 0.049 s
% 7.62/1.96 % (3246754)Peak memory usage: 90 MB
% 7.62/1.96 % (3246754)Instructions burned: 141 (million)
% 7.62/1.96 % (3246753)Instruction limit reached!
% 7.62/1.96 % (3246753)------------------------------
% 7.62/1.96 % (3246753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (3246753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (3246753)CaDiCaL version: 2.1.3
% 7.62/1.96 % (3246753)Termination reason: Instruction limit
% 7.62/1.96 % (3246753)Termination phase: Saturation
% 7.62/1.96 % (3246753)Time elapsed: 0.055 s
% 7.62/1.96 % (3246753)Peak memory usage: 88 MB
% 7.62/1.96 % (3246753)Instructions burned: 122 (million)
% 7.62/1.96 % (3246755)Instruction limit reached!
% 7.62/1.96 % (3246755)------------------------------
% 7.62/1.96 % (3246755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (3246755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (3246755)CaDiCaL version: 2.1.3
% 7.62/1.96 % (3246755)Termination reason: Instruction limit
% 7.62/1.96 % (3246755)Termination phase: Saturation
% 7.62/1.96 % (3246755)Time elapsed: 0.076 s
% 7.62/1.96 % (3246755)Peak memory usage: 90 MB
% 7.62/1.96 % (3246755)Instructions burned: 129 (million)
% 7.62/1.96 % (3246763)lrs+10_1_sil=8000:sp=occurrence:random_seed=1868877579:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.62/1.96 % (3246764)lrs+10_1_sil=32000:urr=on:br=off:random_seed=853941380:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.62/1.96 % (3246763)Instruction limit reached!
% 7.62/1.96 % (3246763)------------------------------
% 7.62/1.96 % (3246763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (3246763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (3246763)CaDiCaL version: 2.1.3
% 7.62/1.96 % (3246763)Termination reason: Instruction limit
% 7.62/1.96 % (3246763)Termination phase: Saturation
% 7.62/1.96 % (3246763)Time elapsed: 0.090 s
% 7.62/1.96 % (3246763)Peak memory usage: 91 MB
% 7.62/1.96 % (3246763)Instructions burned: 285 (million)
% 7.62/1.96 % (3246765)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2827332011:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.62/1.96 % (3246752)------------------------------
% 7.62/1.96 % (3246752)------------------------------
% 7.62/1.96 % (3246764)Instruction limit reached!
% 7.62/1.96 % (3246764)------------------------------
% 7.62/1.96 % (3246764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.96 % (3246764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.96 % (3246764)CaDiCaL version: 2.1.3
% 7.62/1.96 % (3246764)Termination reason: Instruction limit
% 7.62/1.96 % (3246764)Termination phase: Saturation
% 7.62/1.96 % (3246764)Time elapsed: 0.079 s
% 7.62/1.96 % (3246764)Peak memory usage: 89 MB
% 7.62/1.96 % (3246764)Instructions burned: 159 (million)
% 7.62/1.96 % (3246769)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=1518539305:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.62/1.97 % (3246770)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2030912256:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.62/1.97 % (3246770)Refutation not found, incomplete strategy
% 7.62/1.97 % (3246770)------------------------------
% 7.62/1.97 % (3246770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246770)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246770)Termination reason: Refutation not found, incomplete strategy
% 7.62/1.97 % (3246770)Time elapsed: 0.003 s
% 7.62/1.97 % (3246770)Peak memory usage: 88 MB
% 7.62/1.97 % (3246770)Instructions burned: 3 (million)
% 7.62/1.97 % (3246769)Instruction limit reached!
% 7.62/1.97 % (3246769)------------------------------
% 7.62/1.97 % (3246769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246769)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246769)Termination reason: Instruction limit
% 7.62/1.97 % (3246769)Termination phase: Saturation
% 7.62/1.97 % (3246769)Time elapsed: 0.068 s
% 7.62/1.97 % (3246769)Peak memory usage: 93 MB
% 7.62/1.97 % (3246769)Instructions burned: 248 (million)
% 7.62/1.97 % (3246765)Instruction limit reached!
% 7.62/1.97 % (3246765)------------------------------
% 7.62/1.97 % (3246765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246765)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246765)Termination reason: Instruction limit
% 7.62/1.97 % (3246765)Termination phase: Saturation
% 7.62/1.97 % (3246765)Time elapsed: 0.187 s
% 7.62/1.97 % (3246765)Peak memory usage: 92 MB
% 7.62/1.97 % (3246765)Instructions burned: 326 (million)
% 7.62/1.97 % (3246771)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3964468002:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.62/1.97 % (3246774)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3840938566:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.62/1.97 % (3246775)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4000104778:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.62/1.97 % (3246774)Instruction limit reached!
% 7.62/1.97 % (3246774)------------------------------
% 7.62/1.97 % (3246774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246774)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246774)Termination reason: Instruction limit
% 7.62/1.97 % (3246774)Termination phase: Saturation
% 7.62/1.97 % (3246774)Time elapsed: 0.041 s
% 7.62/1.97 % (3246774)Peak memory usage: 90 MB
% 7.62/1.97 % (3246774)Instructions burned: 115 (million)
% 7.62/1.97 % (3246770)------------------------------
% 7.62/1.97 % (3246770)------------------------------
% 7.62/1.97 % (3246775)Instruction limit reached!
% 7.62/1.97 % (3246775)------------------------------
% 7.62/1.97 % (3246775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246775)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246775)Termination reason: Instruction limit
% 7.62/1.97 % (3246775)Termination phase: Saturation
% 7.62/1.97 % (3246775)Time elapsed: 0.069 s
% 7.62/1.97 % (3246775)Peak memory usage: 89 MB
% 7.62/1.97 % (3246775)Instructions burned: 129 (million)
% 7.62/1.97 % (3246779)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3428643617:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.62/1.97 % (3246779)Instruction limit reached!
% 7.62/1.97 % (3246779)------------------------------
% 7.62/1.97 % (3246779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246779)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246779)Termination reason: Instruction limit
% 7.62/1.97 % (3246779)Termination phase: Saturation
% 7.62/1.97 % (3246779)Time elapsed: 0.035 s
% 7.62/1.97 % (3246779)Peak memory usage: 89 MB
% 7.62/1.97 % (3246779)Instructions burned: 117 (million)
% 7.62/1.97 % (3246781)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4256169833:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.62/1.97 % (3246780)lrs+10_1_sil=8000:sp=occurrence:random_seed=2670888770:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.62/1.97 % (3246781)Refutation not found, incomplete strategy
% 7.62/1.97 % (3246781)------------------------------
% 7.62/1.97 % (3246781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.62/1.97 % (3246781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.97 % (3246781)CaDiCaL version: 2.1.3
% 7.62/1.97 % (3246781)Termination reason: Refutation not found, incomplete strategy
% 7.62/1.97 % (3246781)Time elapsed: 0.003 s
% 7.62/1.97 % (3246781)Peak memory usage: 88 MB
% 7.62/1.97 % (3246781)Instructions burned: 3 (million)
% 7.62/1.97 % (3246783)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2338995193:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 7.62/1.97 % (3246749)First to succeed.
% 7.62/1.97 % (3246749)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3246744"
% 7.62/1.97 % (3246781)------------------------------
% 7.62/1.97 % (3246781)------------------------------
% 7.62/1.97 % (3246749)Refutation found. Thanks to Tanya!
% 7.62/1.97 % SZS status Theorem for theBenchmark
% 7.62/1.97 % SZS output start Proof for theBenchmark
% See solution above
% 10.07/2.17 % (3246749)------------------------------
% 10.07/2.17 % (3246749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.07/2.17 % (3246749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/2.17 % (3246749)CaDiCaL version: 2.1.3
% 10.07/2.17 % (3246749)Termination reason: Refutation
% 10.07/2.17 % (3246749)Time elapsed: 0.945 s
% 10.07/2.17 % (3246749)Peak memory usage: 131 MB
% 10.07/2.17 % (3246749)Instructions burned: 1419 (million)
% 10.07/2.17 % (3246749)------------------------------
% 10.07/2.17 % (3246749)------------------------------
% 10.07/2.17 % (3246744)Success in time 1.371 s
% 10.07/2.17 % Vampire exiting
%------------------------------------------------------------------------------