%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU183+2 : 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 12:47:37 PM UTC 2026
% Result : Theorem 4.24s 1.53s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 68 ( 18 unt; 3 def)
% Number of atoms : 262 ( 31 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 322 ( 128 ~; 132 |; 40 &)
% ( 10 <=>; 12 =>; 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 : 19 ( 19 usr; 5 con; 0-4 aty)
% Number of variables : 174 ( 152 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f22,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(f24,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(f28,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(f48,axiom,
! [X0,X1] :
( ( relation(X0)
& relation(X1) )
=> relation(relation_composition(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).
fof(f104,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_relat_1) ).
fof(f130,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t45_relat_1) ).
fof(f131,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1)) ) ),
inference(negated_conjecture,[status(cth)],[f130]) ).
fof(f147,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f176,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f182,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,[],[f28]) ).
fof(f188,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f189,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f188]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f230]) ).
fof(f249,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_rng(relation_composition(X0,X1)),relation_rng(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f309,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,[],[f176]) ).
fof(f310,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,[],[f309]) ).
fof(f311,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK16(X0,X1),X1)
& in(sK16(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X0,X1))],[f310]) ).
fof(f326,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,[],[f178]) ).
fof(f327,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,[],[f326]) ).
fof(f328,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK25(X0,X1)),X0)
| ~ in(sK25(X0,X1),X1) )
& ( in(ordered_pair(sK26(X0,X1),sK25(X0,X1)),X0)
| in(sK25(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25,sK26,sK27]),skolemize(X2,sK25(X0,X1)),skolemize(X4,sK26(X0,X1)),skolemize(X7,sK27(X0,X5))],[f327]) ).
fof(f333,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,[],[f182]) ).
fof(f334,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,[],[f333]) ).
fof(f335,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = relation_composition(X0,X1)
| ( ( ! [X5] :
( ~ in(ordered_pair(sK30(X0,X1,X2),X5),X0)
| ~ in(ordered_pair(X5,sK31(X0,X1,X2)),X1) )
| ~ in(ordered_pair(sK30(X0,X1,X2),sK31(X0,X1,X2)),X2) )
& ( ( in(ordered_pair(sK30(X0,X1,X2),sK32(X0,X1,X2)),X0)
& in(ordered_pair(sK32(X0,X1,X2),sK31(X0,X1,X2)),X1) )
| in(ordered_pair(sK30(X0,X1,X2),sK31(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,sK33(X0,X1,X7,X8)),X0)
& in(ordered_pair(sK33(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,[sK30,sK31,sK32,sK33]),skolemize(X3,sK30(X0,X1,X2)),skolemize(X4,sK31(X0,X1,X2)),skolemize(X6,sK32(X0,X1,X2)),skolemize(X10,sK33(X0,X1,X7,X8))],[f334]) ).
fof(f367,plain,
( ~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46))
& relation(sK46)
& relation(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f249]) ).
fof(f426,plain,
! [X0,X1] :
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f427,plain,
! [X0,X1] :
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
fof(f451,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK27(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f456,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f464,plain,
! [X2,X0,X1,X8,X7] :
( in(ordered_pair(sK33(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,[],[f335]) ).
fof(f479,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f189]) ).
fof(f549,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f231]) ).
fof(f591,plain,
relation(sK45),
inference(cnf_transformation,[],[f367]) ).
fof(f592,plain,
relation(sK46),
inference(cnf_transformation,[],[f367]) ).
fof(f593,plain,
~ subset(relation_rng(relation_composition(sK45,sK46)),relation_rng(sK46)),
inference(cnf_transformation,[],[f367]) ).
fof(f611,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f147]) ).
fof(f628,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f456,f611]) ).
fof(f653,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f451,f628]) ).
fof(f665,plain,
! [X2,X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f464,f628,f628]) ).
fof(f689,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X1,relation_rng(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f549,f628]) ).
fof(f750,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(sK27(X0,X5),X5),unordered_pair(sK27(X0,X5),sK27(X0,X5))),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f653]) ).
fof(f755,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f665]) ).
fof(f762,definition,
sF50 = relation_composition(sK45,sK46),
introduced(definition,[new_symbols(definition,[sF50])],[function_definition]) ).
fof(f763,plain,
relation_composition(sK45,sK46) = sF50,
inference(reorient_equations,[],[f762]) ).
fof(f764,definition,
sF51 = relation_rng(sF50),
introduced(definition,[new_symbols(definition,[sF51])],[function_definition]) ).
fof(f765,plain,
relation_rng(sF50) = sF51,
inference(reorient_equations,[],[f764]) ).
fof(f766,definition,
sF52 = relation_rng(sK46),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f767,plain,
relation_rng(sK46) = sF52,
inference(reorient_equations,[],[f766]) ).
fof(f768,plain,
~ subset(sF51,sF52),
inference(definition_folding,[],[f593,f767,f765,f763]) ).
fof(f772,plain,
! [X0,X1,X8,X7] :
( in(unordered_pair(unordered_pair(sK33(X0,X1,X7,X8),X8),unordered_pair(sK33(X0,X1,X7,X8),sK33(X0,X1,X7,X8))),X1)
| ~ in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f755,f479]) ).
fof(f780,plain,
( relation(sF50)
| ~ relation(sK45)
| ~ relation(sK46) ),
inference(superposition,[],[f479,f763]) ).
fof(f781,plain,
( relation(sF50)
| ~ relation(sK46) ),
inference(forward_subsumption_resolution,[],[f780,f591]) ).
fof(f782,plain,
relation(sF50),
inference(forward_subsumption_resolution,[],[f781,f592]) ).
fof(f811,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(X1,relation_rng(X3))
| ~ relation(X3) ),
inference(resolution,[],[f772,f689]) ).
fof(f814,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| in(X1,relation_rng(X3)) ),
inference(duplicate_literal_removal,[],[f811]) ).
fof(f822,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF50)
| ~ relation(sK46)
| ~ relation(sK45)
| in(X1,relation_rng(sK46)) ),
inference(superposition,[],[f814,f763]) ).
fof(f823,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF50)
| ~ relation(sK45)
| in(X1,relation_rng(sK46)) ),
inference(forward_subsumption_resolution,[],[f822,f592]) ).
fof(f827,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF50)
| in(X1,relation_rng(sK46)) ),
inference(forward_subsumption_resolution,[],[f823,f591]) ).
fof(f828,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sF50)
| in(X1,sF52) ),
inference(forward_demodulation,[],[f827,f767]) ).
fof(f829,plain,
! [X0] :
( in(X0,sF52)
| ~ in(X0,relation_rng(sF50))
| ~ relation(sF50) ),
inference(resolution,[],[f828,f750]) ).
fof(f838,plain,
! [X0] :
( in(X0,sF52)
| ~ in(X0,relation_rng(sF50)) ),
inference(forward_subsumption_resolution,[],[f829,f782]) ).
fof(f839,plain,
! [X0] :
( ~ in(X0,sF51)
| in(X0,sF52) ),
inference(forward_demodulation,[],[f838,f765]) ).
fof(f840,plain,
! [X0] :
( in(sK16(sF51,X0),sF52)
| subset(sF51,X0) ),
inference(resolution,[],[f839,f426]) ).
fof(f860,plain,
( subset(sF51,sF52)
| subset(sF51,sF52) ),
inference(resolution,[],[f840,f427]) ).
fof(f861,plain,
subset(sF51,sF52),
inference(duplicate_literal_removal,[],[f860]) ).
fof(f862,plain,
$false,
inference(forward_subsumption_resolution,[],[f861,f768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU183+2 : 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 03:56:24 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.24/1.53 % (1853114)Detected formulas, will run a generic FOF schedule.
% 4.24/1.53 % (1853119)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=1877976827:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.24/1.53 % (1853121)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=3680896835:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.24/1.53 % (1853123)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3804344935:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.24/1.53 % (1853122)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=397887957:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.24/1.53 % (1853120)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=345459997:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.24/1.53 % (1853124)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1858963192:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.24/1.53 % (1853125)dis-21_1_sil=8000:lcm=predicate:random_seed=1126818373: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)
% 4.24/1.53 % (1853122)Instruction limit reached!
% 4.24/1.53 % (1853122)------------------------------
% 4.24/1.53 % (1853122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853122)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853122)Termination reason: Instruction limit
% 4.24/1.53 % (1853122)Termination phase: Saturation
% 4.24/1.53 % (1853122)Time elapsed: 0.072 s
% 4.24/1.53 % (1853122)Peak memory usage: 90 MB
% 4.24/1.53 % (1853122)Instructions burned: 110 (million)
% 4.24/1.53 % (1853123)Instruction limit reached!
% 4.24/1.53 % (1853123)------------------------------
% 4.24/1.53 % (1853123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853123)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853123)Termination reason: Instruction limit
% 4.24/1.53 % (1853123)Termination phase: Saturation
% 4.24/1.53 % (1853123)Time elapsed: 0.077 s
% 4.24/1.53 % (1853123)Peak memory usage: 89 MB
% 4.24/1.53 % (1853123)Instructions burned: 120 (million)
% 4.24/1.53 % (1853125)Instruction limit reached!
% 4.24/1.53 % (1853125)------------------------------
% 4.24/1.53 % (1853125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853125)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853125)Termination reason: Instruction limit
% 4.24/1.53 % (1853125)Termination phase: Saturation
% 4.24/1.53 % (1853125)Time elapsed: 0.078 s
% 4.24/1.53 % (1853125)Peak memory usage: 90 MB
% 4.24/1.53 % (1853125)Instructions burned: 130 (million)
% 4.24/1.53 % (1853124)Instruction limit reached!
% 4.24/1.53 % (1853124)------------------------------
% 4.24/1.53 % (1853124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853124)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853124)Termination reason: Instruction limit
% 4.24/1.53 % (1853124)Termination phase: Saturation
% 4.24/1.53 % (1853124)Time elapsed: 0.099 s
% 4.24/1.53 % (1853124)Peak memory usage: 90 MB
% 4.24/1.53 % (1853124)Instructions burned: 139 (million)
% 4.24/1.53 % (1853133)lrs+10_1_sil=8000:sp=occurrence:random_seed=674349453:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.24/1.53 % (1853134)lrs+10_1_sil=32000:urr=on:br=off:random_seed=639709562:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.24/1.53 % (1853135)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4087471849:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.24/1.53 % (1853136)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=832307002:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.24/1.53 % (1853134)Instruction limit reached!
% 4.24/1.53 % (1853134)------------------------------
% 4.24/1.53 % (1853134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853134)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853134)Termination reason: Instruction limit
% 4.24/1.53 % (1853134)Termination phase: Saturation
% 4.24/1.53 % (1853134)Time elapsed: 0.078 s
% 4.24/1.53 % (1853134)Peak memory usage: 92 MB
% 4.24/1.53 % (1853134)Instructions burned: 159 (million)
% 4.24/1.53 % (1853119)First to succeed.
% 4.24/1.53 % (1853119)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1853114"
% 4.24/1.53 % (1853133)Instruction limit reached!
% 4.24/1.53 % (1853133)------------------------------
% 4.24/1.53 % (1853133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853133)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853133)Termination reason: Instruction limit
% 4.24/1.53 % (1853133)Termination phase: Saturation
% 4.24/1.53 % (1853133)Time elapsed: 0.182 s
% 4.24/1.53 % (1853133)Peak memory usage: 92 MB
% 4.24/1.53 % (1853133)Instructions burned: 285 (million)
% 4.24/1.53 % (1853136)Instruction limit reached!
% 4.24/1.53 % (1853136)------------------------------
% 4.24/1.53 % (1853136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853136)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853136)Termination reason: Instruction limit
% 4.24/1.53 % (1853136)Termination phase: Saturation
% 4.24/1.53 % (1853136)Time elapsed: 0.141 s
% 4.24/1.53 % (1853136)Peak memory usage: 94 MB
% 4.24/1.53 % (1853136)Instructions burned: 248 (million)
% 4.24/1.53 % (1853135)Instruction limit reached!
% 4.24/1.53 % (1853135)------------------------------
% 4.24/1.53 % (1853135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.24/1.53 % (1853135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.53 % (1853135)CaDiCaL version: 2.1.3
% 4.24/1.53 % (1853135)Termination reason: Instruction limit
% 4.24/1.53 % (1853135)Termination phase: Saturation
% 4.24/1.53 % (1853135)Time elapsed: 0.228 s
% 4.24/1.53 % (1853135)Peak memory usage: 93 MB
% 4.24/1.53 % (1853135)Instructions burned: 327 (million)
% 4.24/1.53 % (1853141)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2408407607:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.24/1.53 % (1853119)Refutation found. Thanks to Tanya!
% 4.24/1.53 % SZS status Theorem for theBenchmark
% 4.24/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.73 % (1853119)------------------------------
% 5.31/1.73 % (1853119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.73 % (1853119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.73 % (1853119)CaDiCaL version: 2.1.3
% 5.31/1.73 % (1853119)Termination reason: Refutation
% 5.31/1.73 % (1853119)Time elapsed: 0.382 s
% 5.31/1.73 % (1853119)Peak memory usage: 132 MB
% 5.31/1.73 % (1853119)Instructions burned: 1015 (million)
% 5.31/1.73 % (1853119)------------------------------
% 5.31/1.73 % (1853119)------------------------------
% 5.31/1.73 % (1853114)Success in time 0.67 s
% 5.31/1.73 % Vampire exiting
%------------------------------------------------------------------------------