%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU184+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 6.21s 2.01s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 28 unt; 5 def)
% Number of atoms : 366 ( 49 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 447 ( 184 ~; 186 |; 50 &)
% ( 11 <=>; 16 =>; 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 : 21 ( 21 usr; 7 con; 0-4 aty)
% Number of variables : 219 ( 195 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
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(f18,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(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(f129,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_relat_1) ).
fof(f132,conjecture,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_relat_1) ).
fof(f133,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(relation_rng(X0),relation_dom(X1))
=> relation_dom(relation_composition(X0,X1)) = relation_dom(X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f132]) ).
fof(f148,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f177,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f183,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(f189,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f190,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(flattening,[],[f189]) ).
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(ennf_transformation,[],[f104]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ( in(X0,relation_dom(X2))
& in(X1,relation_rng(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f231]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f252,plain,
? [X0] :
( ? [X1] :
( relation_dom(X0) != relation_dom(relation_composition(X0,X1))
& subset(relation_rng(X0),relation_dom(X1))
& relation(X1) )
& relation(X0) ),
inference(ennf_transformation,[],[f133]) ).
fof(f253,plain,
? [X0] :
( ? [X1] :
( relation_dom(X0) != relation_dom(relation_composition(X0,X1))
& subset(relation_rng(X0),relation_dom(X1))
& relation(X1) )
& relation(X0) ),
inference(flattening,[],[f252]) ).
fof(f283,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f284,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f283]) ).
fof(f312,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,[],[f177]) ).
fof(f313,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,[],[f312]) ).
fof(f314,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))],[f313]) ).
fof(f319,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,[],[f178]) ).
fof(f320,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,[],[f319]) ).
fof(f321,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK18(X0,X1),X3),X0)
| ~ in(sK18(X0,X1),X1) )
& ( in(ordered_pair(sK18(X0,X1),sK19(X0,X1)),X0)
| in(sK18(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK20(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X2,sK18(X0,X1)),skolemize(X4,sK19(X0,X1)),skolemize(X7,sK20(X0,X5))],[f320]) ).
fof(f336,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,[],[f183]) ).
fof(f337,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,[],[f336]) ).
fof(f338,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))],[f337]) ).
fof(f370,plain,
( relation_dom(sK45) != relation_dom(relation_composition(sK45,sK46))
& subset(relation_rng(sK45),relation_dom(sK46))
& relation(sK46)
& relation(sK45) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45,sK46]),skolemize(X0,sK45),skolemize(X1,sK46)],[f253]) ).
fof(f382,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f284]) ).
fof(f428,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f429,plain,
! [X0,X1] :
( in(sK16(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f430,plain,
! [X0,X1] :
( ~ in(sK16(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f314]) ).
fof(f437,plain,
! [X0,X1,X5] :
( in(ordered_pair(X5,sK20(X0,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f459,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f24]) ).
fof(f469,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,[],[f338]) ).
fof(f482,plain,
! [X0,X1] :
( relation(relation_composition(X0,X1))
| ~ relation(X0)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f552,plain,
! [X2,X0,X1] :
( in(X1,relation_rng(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f232]) ).
fof(f553,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(X2))
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f232]) ).
fof(f593,plain,
! [X0,X1] :
( subset(relation_dom(relation_composition(X0,X1)),relation_dom(X0))
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f596,plain,
relation(sK45),
inference(cnf_transformation,[],[f370]) ).
fof(f597,plain,
relation(sK46),
inference(cnf_transformation,[],[f370]) ).
fof(f598,plain,
subset(relation_rng(sK45),relation_dom(sK46)),
inference(cnf_transformation,[],[f370]) ).
fof(f599,plain,
relation_dom(sK45) != relation_dom(relation_composition(sK45,sK46)),
inference(cnf_transformation,[],[f370]) ).
fof(f616,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f148]) ).
fof(f633,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f459,f616]) ).
fof(f654,plain,
! [X0,X1,X5] :
( in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,X1)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(definition_unfolding,[],[f437,f633]) ).
fof(f668,plain,
! [X2,X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),X2)
| ~ in(unordered_pair(unordered_pair(X7,X9),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),unordered_pair(X9,X9)),X1)
| relation_composition(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f469,f633,f633,f633]) ).
fof(f693,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(X0,relation_dom(X2))
| ~ relation(X2) ),
inference(definition_unfolding,[],[f553,f633]) ).
fof(f694,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,[],[f552,f633]) ).
fof(f747,plain,
! [X0,X5] :
( in(unordered_pair(unordered_pair(X5,sK20(X0,X5)),unordered_pair(X5,X5)),X0)
| ~ in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f654]) ).
fof(f758,plain,
! [X0,X1,X8,X9,X7] :
( in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ in(unordered_pair(unordered_pair(X7,X9),unordered_pair(X7,X7)),X0)
| ~ in(unordered_pair(unordered_pair(X9,X8),unordered_pair(X9,X9)),X1)
| ~ relation(relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f668]) ).
fof(f767,definition,
sF50 = relation_dom(sK45),
introduced(definition,[new_symbols(definition,[sF50])],[function_definition]) ).
fof(f768,plain,
relation_dom(sK45) = sF50,
inference(reorient_equations,[],[f767]) ).
fof(f769,definition,
sF51 = relation_composition(sK45,sK46),
introduced(definition,[new_symbols(definition,[sF51])],[function_definition]) ).
fof(f770,plain,
relation_composition(sK45,sK46) = sF51,
inference(reorient_equations,[],[f769]) ).
fof(f771,definition,
sF52 = relation_dom(sF51),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f772,plain,
relation_dom(sF51) = sF52,
inference(reorient_equations,[],[f771]) ).
fof(f773,plain,
sF50 != sF52,
inference(definition_folding,[],[f599,f772,f770,f768]) ).
fof(f774,definition,
sF53 = relation_rng(sK45),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f775,plain,
relation_rng(sK45) = sF53,
inference(reorient_equations,[],[f774]) ).
fof(f776,definition,
sF54 = relation_dom(sK46),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
fof(f777,plain,
relation_dom(sK46) = sF54,
inference(reorient_equations,[],[f776]) ).
fof(f778,plain,
subset(sF53,sF54),
inference(definition_folding,[],[f598,f777,f775]) ).
fof(f784,plain,
! [X0,X1,X8,X9,X7] :
( ~ in(unordered_pair(unordered_pair(X9,X8),unordered_pair(X9,X9)),X1)
| ~ in(unordered_pair(unordered_pair(X7,X9),unordered_pair(X7,X7)),X0)
| in(unordered_pair(unordered_pair(X7,X8),unordered_pair(X7,X7)),relation_composition(X0,X1))
| ~ relation(X1)
| ~ relation(X0) ),
inference(forward_subsumption_resolution,[],[f758,f482]) ).
fof(f788,plain,
( relation(sF51)
| ~ relation(sK45)
| ~ relation(sK46) ),
inference(superposition,[],[f482,f770]) ).
fof(f789,plain,
( relation(sF51)
| ~ relation(sK46) ),
inference(forward_subsumption_resolution,[],[f788,f596]) ).
fof(f790,plain,
relation(sF51),
inference(forward_subsumption_resolution,[],[f789,f597]) ).
fof(f812,plain,
! [X0] :
( ~ in(X0,sF53)
| in(X0,sF54) ),
inference(resolution,[],[f428,f778]) ).
fof(f834,plain,
! [X0,X1] :
( in(sK20(X0,X1),relation_rng(X0))
| ~ relation(X0)
| ~ in(X1,relation_dom(X0))
| ~ relation(X0) ),
inference(resolution,[],[f694,f747]) ).
fof(f841,plain,
! [X0,X1] :
( in(sK20(X0,X1),relation_rng(X0))
| ~ relation(X0)
| ~ in(X1,relation_dom(X0)) ),
inference(duplicate_literal_removal,[],[f834]) ).
fof(f843,plain,
! [X0] :
( in(sK20(sK45,X0),sF53)
| ~ relation(sK45)
| ~ in(X0,relation_dom(sK45)) ),
inference(superposition,[],[f841,f775]) ).
fof(f844,plain,
! [X0] :
( in(sK20(sK45,X0),sF53)
| ~ in(X0,relation_dom(sK45)) ),
inference(forward_subsumption_resolution,[],[f843,f596]) ).
fof(f845,plain,
! [X0] :
( in(sK20(sK45,X0),sF53)
| ~ in(X0,sF50) ),
inference(forward_demodulation,[],[f844,f768]) ).
fof(f987,plain,
! [X0] :
( in(sK20(sK45,X0),sF54)
| ~ in(X0,sF50) ),
inference(resolution,[],[f812,f845]) ).
fof(f1159,plain,
( subset(relation_dom(sF51),relation_dom(sK45))
| ~ relation(sK46)
| ~ relation(sK45) ),
inference(superposition,[],[f593,f770]) ).
fof(f1166,plain,
( subset(relation_dom(sF51),relation_dom(sK45))
| ~ relation(sK45) ),
inference(forward_subsumption_resolution,[],[f1159,f597]) ).
fof(f1167,plain,
subset(relation_dom(sF51),relation_dom(sK45)),
inference(forward_subsumption_resolution,[],[f1166,f596]) ).
fof(f1168,plain,
subset(relation_dom(sF51),sF50),
inference(forward_demodulation,[],[f1167,f768]) ).
fof(f1169,plain,
subset(sF52,sF50),
inference(forward_demodulation,[],[f1168,f772]) ).
fof(f1171,plain,
( ~ subset(sF50,sF52)
| sF50 = sF52 ),
inference(resolution,[],[f1169,f382]) ).
fof(f1172,plain,
~ subset(sF50,sF52),
inference(forward_subsumption_resolution,[],[f1171,f773]) ).
fof(f1215,plain,
! [X2,X3,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| in(unordered_pair(unordered_pair(X0,sK20(X3,X1)),unordered_pair(X0,X0)),relation_composition(X2,X3))
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X3))
| ~ relation(X3) ),
inference(resolution,[],[f784,f747]) ).
fof(f1224,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK20(X3,X1)),unordered_pair(X0,X0)),relation_composition(X2,X3))
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),X2)
| ~ relation(X3)
| ~ relation(X2)
| ~ in(X1,relation_dom(X3)) ),
inference(duplicate_literal_removal,[],[f1215]) ).
fof(f1260,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK20(sK46,X1)),unordered_pair(X0,X0)),sF51)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45)
| ~ relation(sK46)
| ~ relation(sK45)
| ~ in(X1,relation_dom(sK46)) ),
inference(superposition,[],[f1224,f770]) ).
fof(f1265,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK20(sK46,X1)),unordered_pair(X0,X0)),sF51)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45)
| ~ relation(sK45)
| ~ in(X1,relation_dom(sK46)) ),
inference(forward_subsumption_resolution,[],[f1260,f597]) ).
fof(f1274,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK20(sK46,X1)),unordered_pair(X0,X0)),sF51)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45)
| ~ in(X1,relation_dom(sK46)) ),
inference(forward_subsumption_resolution,[],[f1265,f596]) ).
fof(f1275,plain,
! [X0,X1] :
( in(unordered_pair(unordered_pair(X0,sK20(sK46,X1)),unordered_pair(X0,X0)),sF51)
| ~ in(X1,sF54)
| ~ in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),sK45) ),
inference(forward_demodulation,[],[f1274,f777]) ).
fof(f1289,plain,
! [X0,X1] :
( ~ in(X0,sF54)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK45)
| in(X1,relation_dom(sF51))
| ~ relation(sF51) ),
inference(resolution,[],[f1275,f693]) ).
fof(f1304,plain,
! [X0,X1] :
( ~ in(X0,sF54)
| ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK45)
| in(X1,relation_dom(sF51)) ),
inference(forward_subsumption_resolution,[],[f1289,f790]) ).
fof(f1310,plain,
! [X0,X1] :
( ~ in(unordered_pair(unordered_pair(X1,X0),unordered_pair(X1,X1)),sK45)
| ~ in(X0,sF54)
| in(X1,sF52) ),
inference(forward_demodulation,[],[f1304,f772]) ).
fof(f1312,plain,
! [X0] :
( ~ in(sK20(sK45,X0),sF54)
| in(X0,sF52)
| ~ in(X0,relation_dom(sK45))
| ~ relation(sK45) ),
inference(resolution,[],[f1310,f747]) ).
fof(f1321,plain,
! [X0] :
( ~ in(sK20(sK45,X0),sF54)
| in(X0,sF52)
| ~ in(X0,relation_dom(sK45)) ),
inference(forward_subsumption_resolution,[],[f1312,f596]) ).
fof(f1323,plain,
! [X0] :
( ~ in(X0,sF50)
| ~ in(sK20(sK45,X0),sF54)
| in(X0,sF52) ),
inference(forward_demodulation,[],[f1321,f768]) ).
fof(f1325,plain,
! [X0] :
( ~ in(X0,sF50)
| in(X0,sF52) ),
inference(forward_subsumption_resolution,[],[f1323,f987]) ).
fof(f1336,plain,
! [X0] :
( in(sK16(sF50,X0),sF52)
| subset(sF50,X0) ),
inference(resolution,[],[f1325,f429]) ).
fof(f1375,plain,
( subset(sF50,sF52)
| subset(sF50,sF52) ),
inference(resolution,[],[f1336,f430]) ).
fof(f1377,plain,
subset(sF50,sF52),
inference(duplicate_literal_removal,[],[f1375]) ).
fof(f1378,plain,
$false,
inference(forward_subsumption_resolution,[],[f1377,f1172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU184+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 03:56:55 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 6.21/2.01 % (1853980)Detected formulas, will run a generic FOF schedule.
% 6.21/2.01 % (1853988)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3337610120:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.21/2.01 % (1853988)Instruction limit reached!
% 6.21/2.01 % (1853988)------------------------------
% 6.21/2.01 % (1853988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1853988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1853988)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1853988)Termination reason: Instruction limit
% 6.21/2.01 % (1853988)Termination phase: Saturation
% 6.21/2.01 % (1853988)Time elapsed: 0.040 s
% 6.21/2.01 % (1853988)Peak memory usage: 90 MB
% 6.21/2.01 % (1853988)Instructions burned: 110 (million)
% 6.21/2.01 % (1853989)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1769947376:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.21/2.01 % (1853987)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=4112696963:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.21/2.01 % (1853986)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=554820870:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.21/2.01 % (1853985)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=3443340480:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.21/2.01 % (1853990)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1739998859:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.21/2.01 % (1853991)dis-21_1_sil=8000:lcm=predicate:random_seed=1352348053: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)
% 6.21/2.01 % (1853989)Instruction limit reached!
% 6.21/2.01 % (1853989)------------------------------
% 6.21/2.01 % (1853989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1853989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1853989)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1853989)Termination reason: Instruction limit
% 6.21/2.01 % (1853989)Termination phase: Saturation
% 6.21/2.01 % (1853989)Time elapsed: 0.079 s
% 6.21/2.01 % (1853989)Peak memory usage: 89 MB
% 6.21/2.01 % (1853989)Instructions burned: 120 (million)
% 6.21/2.01 % (1853993)lrs+10_1_sil=8000:sp=occurrence:random_seed=3133458826:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.21/2.01 % (1853991)Instruction limit reached!
% 6.21/2.01 % (1853991)------------------------------
% 6.21/2.01 % (1853991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1853991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1853991)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1853991)Termination reason: Instruction limit
% 6.21/2.01 % (1853991)Termination phase: Saturation
% 6.21/2.01 % (1853991)Time elapsed: 0.083 s
% 6.21/2.01 % (1853991)Peak memory usage: 90 MB
% 6.21/2.01 % (1853991)Instructions burned: 129 (million)
% 6.21/2.01 % (1853990)Instruction limit reached!
% 6.21/2.01 % (1853990)------------------------------
% 6.21/2.01 % (1853990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1853990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1853990)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1853990)Termination reason: Instruction limit
% 6.21/2.01 % (1853990)Termination phase: Saturation
% 6.21/2.01 % (1853990)Time elapsed: 0.102 s
% 6.21/2.01 % (1853990)Peak memory usage: 90 MB
% 6.21/2.01 % (1853990)Instructions burned: 139 (million)
% 6.21/2.01 % (1853993)Instruction limit reached!
% 6.21/2.01 % (1853993)------------------------------
% 6.21/2.01 % (1853993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1853993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1853993)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1853993)Termination reason: Instruction limit
% 6.21/2.01 % (1853993)Termination phase: Saturation
% 6.21/2.01 % (1853993)Time elapsed: 0.100 s
% 6.21/2.01 % (1853993)Peak memory usage: 92 MB
% 6.21/2.01 % (1853993)Instructions burned: 286 (million)
% 6.21/2.01 % (1854001)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2604216266:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.21/2.01 % (1854002)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3593302770:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.21/2.01 % (1854003)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=613902435:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.21/2.01 % (1854004)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=248945339:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.21/2.01 % (1854001)Instruction limit reached!
% 6.21/2.01 % (1854001)------------------------------
% 6.21/2.01 % (1854001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854001)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854001)Termination reason: Instruction limit
% 6.21/2.01 % (1854001)Termination phase: Saturation
% 6.21/2.01 % (1854001)Time elapsed: 0.077 s
% 6.21/2.01 % (1854001)Peak memory usage: 91 MB
% 6.21/2.01 % (1854001)Instructions burned: 157 (million)
% 6.21/2.01 % (1854004)Instruction limit reached!
% 6.21/2.01 % (1854004)------------------------------
% 6.21/2.01 % (1854004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854004)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854004)Termination reason: Instruction limit
% 6.21/2.01 % (1854004)Termination phase: Saturation
% 6.21/2.01 % (1854004)Time elapsed: 0.099 s
% 6.21/2.01 % (1854004)Peak memory usage: 90 MB
% 6.21/2.01 % (1854004)Instructions burned: 295 (million)
% 6.21/2.01 % (1854003)Instruction limit reached!
% 6.21/2.01 % (1854003)------------------------------
% 6.21/2.01 % (1854003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854003)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854003)Termination reason: Instruction limit
% 6.21/2.01 % (1854003)Termination phase: Saturation
% 6.21/2.01 % (1854003)Time elapsed: 0.141 s
% 6.21/2.01 % (1854003)Peak memory usage: 95 MB
% 6.21/2.01 % (1854003)Instructions burned: 249 (million)
% 6.21/2.01 % (1854009)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2571534151:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.21/2.01 % (1854002)Instruction limit reached!
% 6.21/2.01 % (1854002)------------------------------
% 6.21/2.01 % (1854002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854002)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854002)Termination reason: Instruction limit
% 6.21/2.01 % (1854002)Termination phase: Saturation
% 6.21/2.01 % (1854002)Time elapsed: 0.223 s
% 6.21/2.01 % (1854002)Peak memory usage: 92 MB
% 6.21/2.01 % (1854002)Instructions burned: 326 (million)
% 6.21/2.01 % (1854010)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3853692293:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.21/2.01 % (1854010)Instruction limit reached!
% 6.21/2.01 % (1854010)------------------------------
% 6.21/2.01 % (1854010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854010)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854010)Termination reason: Instruction limit
% 6.21/2.01 % (1854010)Termination phase: Saturation
% 6.21/2.01 % (1854010)Time elapsed: 0.036 s
% 6.21/2.01 % (1854010)Peak memory usage: 89 MB
% 6.21/2.01 % (1854010)Instructions burned: 115 (million)
% 6.21/2.01 % (1854011)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=445741905:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.21/2.01 % (1854013)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3690321359:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.21/2.01 % (1854015)lrs+10_1_sil=8000:sp=occurrence:random_seed=2358407034:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.21/2.01 % (1854011)Instruction limit reached!
% 6.21/2.01 % (1854011)------------------------------
% 6.21/2.01 % (1854011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854011)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854011)Termination reason: Instruction limit
% 6.21/2.01 % (1854011)Termination phase: Saturation
% 6.21/2.01 % (1854011)Time elapsed: 0.065 s
% 6.21/2.01 % (1854011)Peak memory usage: 89 MB
% 6.21/2.01 % (1854011)Instructions burned: 127 (million)
% 6.21/2.01 % (1854013)Instruction limit reached!
% 6.21/2.01 % (1854013)------------------------------
% 6.21/2.01 % (1854013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854013)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854013)Termination reason: Instruction limit
% 6.21/2.01 % (1854013)Termination phase: Saturation
% 6.21/2.01 % (1854013)Time elapsed: 0.071 s
% 6.21/2.01 % (1854013)Peak memory usage: 89 MB
% 6.21/2.01 % (1854013)Instructions burned: 114 (million)
% 6.21/2.01 % (1854019)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2966084557:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.21/2.01 % (1853985)First to succeed.
% 6.21/2.01 % (1853985)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1853980"
% 6.21/2.01 % (1854020)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=352098950:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.21/2.01 % (1854015)Instruction limit reached!
% 6.21/2.01 % (1854015)------------------------------
% 6.21/2.01 % (1854015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854015)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854015)Termination reason: Instruction limit
% 6.21/2.01 % (1854015)Termination phase: Saturation
% 6.21/2.01 % (1854015)Time elapsed: 0.316 s
% 6.21/2.01 % (1854015)Peak memory usage: 99 MB
% 6.21/2.01 % (1854015)Instructions burned: 909 (million)
% 6.21/2.01 % (1854023)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=790130461:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 6.21/2.01 % (1854019)Instruction limit reached!
% 6.21/2.01 % (1854019)------------------------------
% 6.21/2.01 % (1854019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.21/2.01 % (1854019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.21/2.01 % (1854019)CaDiCaL version: 2.1.3
% 6.21/2.01 % (1854019)Termination reason: Instruction limit
% 6.21/2.01 % (1854019)Termination phase: Saturation
% 6.21/2.01 % (1854019)Time elapsed: 0.288 s
% 6.21/2.01 % (1854019)Peak memory usage: 92 MB
% 6.21/2.01 % (1854019)Instructions burned: 441 (million)
% 6.21/2.01 % (1853985)Refutation found. Thanks to Tanya!
% 6.21/2.01 % SZS status Theorem for theBenchmark
% 6.21/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.21 % (1853985)------------------------------
% 0.18/2.21 % (1853985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.21 % (1853985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.21 % (1853985)CaDiCaL version: 2.1.3
% 0.18/2.21 % (1853985)Termination reason: Refutation
% 0.18/2.21 % (1853985)Time elapsed: 0.743 s
% 0.18/2.21 % (1853985)Peak memory usage: 132 MB
% 0.18/2.21 % (1853985)Instructions burned: 1122 (million)
% 0.18/2.21 % (1853985)------------------------------
% 0.18/2.21 % (1853985)------------------------------
% 0.18/2.21 % (1853980)Success in time 1.152 s
% 0.18/2.21 % Vampire exiting
%------------------------------------------------------------------------------