%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV521+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:59:25 PM UTC 2026
% Result : Theorem 7.85s 1.92s
% Output : Refutation 7.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 102 ( 12 unt; 8 def)
% Number of atoms : 330 ( 30 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 349 ( 121 ~; 145 |; 56 &)
% ( 11 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn 80 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f8,axiom,
! [X0,X1] :
( member(X0,singleton(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',singleton) ).
fof(f13,axiom,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X2] :
( member(X2,X1)
=> ? [X3] :
( member(X3,X0)
& member(X2,X3) ) )
& ! [X2,X3] :
( ( member(X2,X0)
& member(X3,X0) )
=> ( ? [X4] :
( member(X4,X2)
& member(X4,X3) )
=> X2 = X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',partition) ).
fof(f20,conjecture,
! [X0] :
( X0 != empty_set
=> partition(singleton(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_partitions_itself) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( X0 != empty_set
=> partition(singleton(X0),X0) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( partition(X0,X1)
<=> ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& member(X3,X4) ) )
& ! [X5,X6] :
( ( member(X5,X0)
& member(X6,X0) )
=> ( ? [X7] :
( member(X7,X5)
& member(X7,X6) )
=> X5 = X6 ) ) ) ),
inference(rectify,[],[f13]) ).
fof(f25,plain,
! [X0,X1] :
( ( ! [X2] :
( member(X2,X0)
=> subset(X2,X1) )
& ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X0)
& member(X3,X4) ) )
& ! [X5,X6] :
( ( member(X5,X0)
& member(X6,X0) )
=> ( ? [X7] :
( member(X7,X5)
& member(X7,X6) )
=> X5 = X6 ) ) )
=> partition(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f26,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2] :
( ~ subset(X2,X1)
& member(X2,X0) )
| ? [X3] :
( ! [X4] :
( ~ member(X4,X0)
| ~ member(X3,X4) )
& member(X3,X1) )
| ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2] :
( ~ subset(X2,X1)
& member(X2,X0) )
| ? [X3] :
( ! [X4] :
( ~ member(X4,X0)
| ~ member(X3,X4) )
& member(X3,X1) )
| ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) ) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
? [X0] :
( ~ partition(singleton(X0),X0)
& X0 != empty_set ),
inference(ennf_transformation,[],[f21]) ).
fof(f31,definition,
! [X0] :
( ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f32,plain,
! [X0,X1] :
( partition(X0,X1)
| ? [X2] :
( ~ subset(X2,X1)
& member(X2,X0) )
| ? [X3] :
( ! [X4] :
( ~ member(X4,X0)
| ~ member(X3,X4) )
& member(X3,X1) )
| sP0(X0) ),
inference(definition_folding,[],[f29,f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f34,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ( member(X0,singleton(X1))
| X0 != X1 )
& ( X0 = X1
| ~ member(X0,singleton(X1)) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f52,plain,
! [X0] :
( ? [X5,X6] :
( X5 != X6
& ? [X7] :
( member(X7,X5)
& member(X7,X6) )
& member(X5,X0)
& member(X6,X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X0] :
( ? [X1,X2] :
( X1 != X2
& ? [X3] :
( member(X3,X1)
& member(X3,X2) )
& member(X1,X0)
& member(X2,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f52]) ).
fof(f54,plain,
! [X0] :
( ( sK4(X0) != sK5(X0)
& member(sK6(X0),sK4(X0))
& member(sK6(X0),sK5(X0))
& member(sK4(X0),X0)
& member(sK5(X0),X0) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0)),skolemize(X3,sK6(X0))],[f53]) ).
fof(f55,plain,
! [X0,X1] :
( partition(X0,X1)
| ( ~ subset(sK7(X0,X1),X1)
& member(sK7(X0,X1),X0) )
| ( ! [X4] :
( ~ member(X4,X0)
| ~ member(sK8(X0,X1),X4) )
& member(sK8(X0,X1),X1) )
| sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8]),skolemize(X2,sK7(X0,X1)),skolemize(X3,sK8(X0,X1))],[f32]) ).
fof(f61,plain,
( ~ partition(singleton(sK12),sK12)
& empty_set != sK12 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f30]) ).
fof(f63,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f77,plain,
! [X0,X1] :
( ~ member(X0,singleton(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f78,plain,
! [X0,X1] :
( member(X0,singleton(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f88,plain,
! [X0] :
( member(sK5(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f89,plain,
! [X0] :
( member(sK4(X0),X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f92,plain,
! [X0] :
( sK4(X0) != sK5(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f93,plain,
! [X0,X1] :
( partition(X0,X1)
| member(sK7(X0,X1),X0)
| member(sK8(X0,X1),X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X0,X1,X4] :
( ~ member(sK8(X0,X1),X4)
| member(sK7(X0,X1),X0)
| ~ member(X4,X0)
| partition(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X0,X1] :
( ~ subset(sK7(X0,X1),X1)
| partition(X0,X1)
| member(sK8(X0,X1),X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0,X1,X4] :
( ~ member(sK8(X0,X1),X4)
| ~ subset(sK7(X0,X1),X1)
| ~ member(X4,X0)
| partition(X0,X1)
| sP0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f108,plain,
~ partition(singleton(sK12),sK12),
inference(cnf_transformation,[],[f61]) ).
fof(f109,plain,
! [X1] : member(X1,singleton(X1)),
inference(equality_resolution,[],[f78]) ).
fof(f115,definition,
sF13 = singleton(sK12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f116,plain,
singleton(sK12) = sF13,
inference(reorient_equations,[],[f115]) ).
fof(f117,plain,
~ partition(sF13,sK12),
inference(definition_folding,[],[f108,f116]) ).
fof(f118,plain,
member(sK12,sF13),
inference(superposition,[],[f109,f116]) ).
fof(f127,plain,
! [X0] :
( ~ member(X0,sF13)
| sK12 = X0 ),
inference(superposition,[],[f77,f116]) ).
fof(f128,plain,
( sK12 = sK4(sF13)
| ~ sP0(sF13) ),
inference(resolution,[],[f127,f89]) ).
fof(f129,plain,
( sK12 = sK5(sF13)
| ~ sP0(sF13) ),
inference(resolution,[],[f127,f88]) ).
fof(f132,definition,
( spl14_1
<=> sP0(sF13) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f133,plain,
( sP0(sF13)
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( ~ sP0(sF13)
| spl14_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl14_2
<=> sK12 = sK5(sF13) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f138,plain,
( sK12 = sK5(sF13)
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f129,f136,f132]) ).
fof(f141,definition,
( spl14_3
<=> sK12 = sK4(sF13) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f143,plain,
( sK12 = sK4(sF13)
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( ~ spl14_1
| spl14_3 ),
inference(avatar_split_clause,[],[f128,f141,f132]) ).
fof(f149,plain,
! [X0] :
( subset(X0,X0)
| subset(X0,X0) ),
inference(resolution,[],[f64,f63]) ).
fof(f151,plain,
! [X0] : subset(X0,X0),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f364,plain,
( member(sK7(sF13,sK12),sF13)
| member(sK8(sF13,sK12),sK12)
| sP0(sF13) ),
inference(resolution,[],[f93,f117]) ).
fof(f365,plain,
( member(sK7(sF13,sK12),sF13)
| member(sK8(sF13,sK12),sK12)
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f364,f134]) ).
fof(f367,definition,
( spl14_4
<=> member(sK8(sF13,sK12),sK12) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f368,plain,
( ~ member(sK8(sF13,sK12),sK12)
| spl14_4 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f369,plain,
( member(sK8(sF13,sK12),sK12)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl14_5
<=> member(sK7(sF13,sK12),sF13) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f373,plain,
( member(sK7(sF13,sK12),sF13)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f374,plain,
( spl14_4
| spl14_5
| spl14_1 ),
inference(avatar_split_clause,[],[f365,f132,f371,f367]) ).
fof(f429,plain,
( member(sK7(sF13,sK12),sF13)
| ~ member(sK12,sF13)
| partition(sF13,sK12)
| sP0(sF13)
| ~ spl14_4 ),
inference(resolution,[],[f94,f369]) ).
fof(f446,plain,
( member(sK7(sF13,sK12),sF13)
| partition(sF13,sK12)
| sP0(sF13)
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f429,f118]) ).
fof(f448,plain,
( member(sK7(sF13,sK12),sF13)
| sP0(sF13)
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f446,f117]) ).
fof(f453,plain,
( member(sK7(sF13,sK12),sF13)
| spl14_1
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f448,f134]) ).
fof(f454,plain,
( spl14_5
| spl14_1
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f453,f367,f132,f371]) ).
fof(f455,plain,
( ~ subset(sK7(sF13,sK12),sK12)
| ~ member(sK12,sF13)
| partition(sF13,sK12)
| sP0(sF13)
| ~ spl14_4 ),
inference(resolution,[],[f96,f369]) ).
fof(f472,plain,
( ~ subset(sK7(sF13,sK12),sK12)
| partition(sF13,sK12)
| sP0(sF13)
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f455,f118]) ).
fof(f474,plain,
( ~ subset(sK7(sF13,sK12),sK12)
| sP0(sF13)
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f472,f117]) ).
fof(f476,definition,
( spl14_9
<=> subset(sK7(sF13,sK12),sK12) ),
introduced(definition,[new_symbols(definition,[spl14_9])],[avatar_definition]) ).
fof(f478,plain,
( ~ subset(sK7(sF13,sK12),sK12)
| spl14_9 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,plain,
( ~ subset(sK7(sF13,sK12),sK12)
| spl14_1
| ~ spl14_4 ),
inference(forward_subsumption_resolution,[],[f474,f134]) ).
fof(f481,plain,
( ~ spl14_9
| spl14_1
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f480,f367,f132,f476]) ).
fof(f482,plain,
( sK12 = sK7(sF13,sK12)
| ~ spl14_5 ),
inference(resolution,[],[f373,f127]) ).
fof(f487,plain,
( ~ subset(sK12,sK12)
| partition(sF13,sK12)
| member(sK8(sF13,sK12),sK12)
| sP0(sF13)
| ~ spl14_5 ),
inference(superposition,[],[f95,f482]) ).
fof(f490,plain,
( ~ subset(sK12,sK12)
| ~ spl14_5
| spl14_9 ),
inference(superposition,[],[f478,f482]) ).
fof(f491,plain,
( $false
| ~ spl14_5
| spl14_9 ),
inference(forward_subsumption_resolution,[],[f490,f151]) ).
fof(f492,plain,
( ~ spl14_5
| spl14_9 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f494,plain,
( partition(sF13,sK12)
| member(sK8(sF13,sK12),sK12)
| sP0(sF13)
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f487,f151]) ).
fof(f495,plain,
( member(sK8(sF13,sK12),sK12)
| sP0(sF13)
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f494,f117]) ).
fof(f496,plain,
( sP0(sF13)
| spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f495,f368]) ).
fof(f497,plain,
( $false
| spl14_1
| spl14_4
| ~ spl14_5 ),
inference(forward_subsumption_resolution,[],[f496,f134]) ).
fof(f498,plain,
( spl14_1
| spl14_4
| ~ spl14_5 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f10561,plain,
( sK12 != sK4(sF13)
| ~ sP0(sF13)
| ~ spl14_2 ),
inference(superposition,[],[f92,f138]) ).
fof(f10575,plain,
( ~ sP0(sF13)
| ~ spl14_2
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f10561,f143]) ).
fof(f10591,plain,
( $false
| ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(forward_subsumption_resolution,[],[f10575,f133]) ).
fof(f10592,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_contradiction_clause,[],[f10591]) ).
cnf(s1,plain,
( ~ spl14_1
| spl14_2 ),
inference(sat_conversion,[],[f139]) ).
cnf(s2,plain,
( ~ spl14_1
| spl14_3 ),
inference(sat_conversion,[],[f144]) ).
cnf(s3,plain,
( spl14_1
| spl14_4
| spl14_5 ),
inference(sat_conversion,[],[f374]) ).
cnf(s6,plain,
( spl14_1
| ~ spl14_4
| spl14_5 ),
inference(sat_conversion,[],[f454]) ).
cnf(s8,plain,
( spl14_1
| ~ spl14_4
| ~ spl14_9 ),
inference(sat_conversion,[],[f481]) ).
cnf(s9,plain,
( ~ spl14_5
| spl14_9 ),
inference(sat_conversion,[],[f492]) ).
cnf(s10,plain,
( spl14_1
| spl14_4
| ~ spl14_5 ),
inference(sat_conversion,[],[f498]) ).
cnf(s58,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(sat_conversion,[],[f10592]) ).
cnf(s59,plain,
( spl14_4
| spl14_1 ),
inference(rat,[],[s3,s10]) ).
cnf(s60,plain,
( ~ spl14_4
| spl14_1 ),
inference(rat,[],[s9,s6,s8]) ).
cnf(s61,plain,
spl14_1,
inference(rat,[],[s60,s59]) ).
cnf(s63,plain,
spl14_3,
inference(rat,[],[s2,s61]) ).
cnf(s64,plain,
spl14_2,
inference(rat,[],[s1,s61]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s58,s61,s63,s64]) ).
fof(f10593,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV521+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n010.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 06:30:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 Running first-order model finding
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.85/1.92 % (1717234)Will run a generic schedule for satisfiability detection.
% 7.85/1.92 % (1717244)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3052943432:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.85/1.92 % (1717240)% WARNING: option uhcvi not known.
% 7.85/1.92 % (1717242)dis+10_1_sil=32000:sp=arity:random_seed=292979178:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.85/1.92 % (1717239)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1771647013_2999 on theBenchmark for (2999ds/0Mi)
% 7.85/1.92 % (1717240)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=426043249:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.85/1.92 % (1717243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1111147645:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.85/1.92 % (1717245)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2037830897:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.85/1.92 % (1717241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2469224052:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.85/1.92 % TRYING [1]
% 7.85/1.92 % TRYING [2]
% 7.85/1.92 % TRYING [3]
% 7.85/1.92 % TRYING [4]
% 7.85/1.92 % TRYING [5]
% 7.85/1.92 % (1717244)Instruction limit reached!
% 7.85/1.92 % (1717244)------------------------------
% 7.85/1.92 % (1717244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717244)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717244)Termination reason: Instruction limit
% 7.85/1.92 % (1717244)Termination phase: Saturation
% 7.85/1.92 % (1717244)Time elapsed: 0.071 s
% 7.85/1.92 % (1717244)Peak memory usage: 13 MB
% 7.85/1.92 % (1717244)Instructions burned: 133 (million)
% 7.85/1.92 % TRYING [6]
% 7.85/1.92 % TRYING [7]
% 7.85/1.92 % (1717242)Instruction limit reached!
% 7.85/1.92 % (1717242)------------------------------
% 7.85/1.92 % (1717242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717242)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717242)Termination reason: Instruction limit
% 7.85/1.92 % (1717242)Termination phase: Saturation
% 7.85/1.92 % (1717242)Time elapsed: 0.104 s
% 7.85/1.92 % (1717242)Peak memory usage: 12 MB
% 7.85/1.92 % (1717242)Instructions burned: 104 (million)
% 7.85/1.92 % (1717258)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1813121285:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.85/1.92 % (1717243)Instruction limit reached!
% 7.85/1.92 % (1717243)------------------------------
% 7.85/1.92 % (1717243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717243)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717243)Termination reason: Instruction limit
% 7.85/1.92 % (1717243)Termination phase: Saturation
% 7.85/1.92 % (1717243)Time elapsed: 0.115 s
% 7.85/1.92 % (1717243)Peak memory usage: 13 MB
% 7.85/1.92 % (1717243)Instructions burned: 116 (million)
% 7.85/1.92 % TRYING [1]
% 7.85/1.92 % TRYING [2]
% 7.85/1.92 % (1717260)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2499646284:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.85/1.92 % TRYING [3]
% 7.85/1.92 % TRYING [4]
% 7.85/1.92 % (1717262)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=539840446:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.85/1.92 % (1717245)Instruction limit reached!
% 7.85/1.92 % (1717245)------------------------------
% 7.85/1.92 % (1717245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717245)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717245)Termination reason: Instruction limit
% 7.85/1.92 % (1717245)Termination phase: Saturation
% 7.85/1.92 % (1717245)Time elapsed: 0.155 s
% 7.85/1.92 % (1717245)Peak memory usage: 14 MB
% 7.85/1.92 % (1717245)Instructions burned: 159 (million)
% 7.85/1.92 % TRYING [5]
% 7.85/1.92 % TRYING [8]
% 7.85/1.92 % (1717265)ott-21_1_sil=16000:fs=off:random_seed=286509608:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.85/1.92 % (1717260)Instruction limit reached!
% 7.85/1.92 % (1717260)------------------------------
% 7.85/1.92 % (1717260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717260)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717260)Termination reason: Instruction limit
% 7.85/1.92 % (1717260)Termination phase: Saturation
% 7.85/1.92 % (1717260)Time elapsed: 0.079 s
% 7.85/1.92 % (1717260)Peak memory usage: 14 MB
% 7.85/1.92 % (1717260)Instructions burned: 132 (million)
% 7.85/1.92 % (1717267)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1256660811:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.85/1.92 % TRYING [6]
% 7.85/1.92 % TRYING [7]
% 7.85/1.92 % TRYING [9]
% 7.85/1.92 % (1717265)Instruction limit reached!
% 7.85/1.92 % (1717265)------------------------------
% 7.85/1.92 % (1717265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717265)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717265)Termination reason: Instruction limit
% 7.85/1.92 % (1717265)Termination phase: Saturation
% 7.85/1.92 % (1717265)Time elapsed: 0.167 s
% 7.85/1.92 % (1717265)Peak memory usage: 13 MB
% 7.85/1.92 % (1717265)Instructions burned: 181 (million)
% 7.85/1.92 % (1717269)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3475742785:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.85/1.92 % TRYING [1]
% 7.85/1.92 % TRYING [2]
% 7.85/1.92 % TRYING [3]
% 7.85/1.92 % TRYING [4]
% 7.85/1.92 % TRYING [5]
% 7.85/1.92 % TRYING [6]
% 7.85/1.92 % (1717258)Instruction limit reached!
% 7.85/1.92 % (1717258)------------------------------
% 7.85/1.92 % (1717258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717258)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717258)Termination reason: Instruction limit
% 7.85/1.92 % (1717258)Termination phase: Finite model building constraint generation
% 7.85/1.92 % (1717258)Time elapsed: 0.570 s
% 7.85/1.92 % (1717258)Peak memory usage: 27 MB
% 7.85/1.92 % (1717258)Instructions burned: 715 (million)
% 7.85/1.92 % (1717273)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3607048934:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 7.85/1.92 % (1717267)Instruction limit reached!
% 7.85/1.92 % (1717267)------------------------------
% 7.85/1.92 % (1717267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717267)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717267)Termination reason: Instruction limit
% 7.85/1.92 % (1717267)Termination phase: Saturation
% 7.85/1.92 % (1717267)Time elapsed: 0.486 s
% 7.85/1.92 % (1717267)Peak memory usage: 14 MB
% 7.85/1.92 % (1717267)Instructions burned: 477 (million)
% 7.85/1.92 % (1717275)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1175156433:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.85/1.92 % TRYING [7]
% 7.85/1.92 % (1717262)Instruction limit reached!
% 7.85/1.92 % (1717262)------------------------------
% 7.85/1.92 % (1717262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717262)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717262)Termination reason: Instruction limit
% 7.85/1.92 % (1717262)Termination phase: Saturation
% 7.85/1.92 % (1717262)Time elapsed: 0.655 s
% 7.85/1.92 % (1717262)Peak memory usage: 18 MB
% 7.85/1.92 % (1717262)Instructions burned: 684 (million)
% 7.85/1.92 % TRYING [14]
% 7.85/1.92 % (1717277)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1959204167:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 7.85/1.92 % TRYING [10]
% 7.85/1.92 % (1717269)Instruction limit reached!
% 7.85/1.92 % (1717269)------------------------------
% 7.85/1.92 % (1717269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717269)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717269)Termination reason: Instruction limit
% 7.85/1.92 % (1717269)Termination phase: Finite model building SAT solving
% 7.85/1.92 % (1717269)Time elapsed: 0.545 s
% 7.85/1.92 % (1717269)Peak memory usage: 20 MB
% 7.85/1.92 % (1717269)Instructions burned: 865 (million)
% 7.85/1.92 % (1717281)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4012541207:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 7.85/1.92 % (1717273) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1717234-1717273"...
% 7.85/1.92 % (1717273)...printing done.
% 7.85/1.92 % (1717273)Refutation found. Thanks to Tanya!
% 7.85/1.92 % SZS status Theorem for theBenchmark
% 7.85/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 7.85/1.92 % (1717273)------------------------------
% 7.85/1.92 % (1717273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.92 % (1717273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.92 % (1717273)CaDiCaL version: 2.1.3
% 7.85/1.92 % (1717273)Termination reason: Refutation
% 7.85/1.92 % (1717273)Time elapsed: 0.737 s
% 7.85/1.92 % (1717273)Peak memory usage: 22 MB
% 7.85/1.92 % (1717273)Instructions burned: 762 (million)
% 7.85/1.92 % (1717234)Success in time 1.496 s
% 7.85/1.92 % Vampire exiting
%------------------------------------------------------------------------------