%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET668+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 12:44:22 PM UTC 2026
% Result : Theorem 2.01s 0.74s
% Output : Refutation 2.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 142 ( 33 unt; 6 def)
% Number of atoms : 478 ( 46 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 570 ( 234 ~; 238 |; 46 &)
% ( 15 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 227 ( 0 sgn 217 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X0,X1,X3))
& subset(X2,range(X0,X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f7,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f16,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(f28,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).
fof(f29,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
fof(f30,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).
fof(f32,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).
fof(f33,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X0,X2)
& subset(X1,range(X1,X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_31) ).
fof(f34,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ( subset(identity_relation_of(X1),X2)
=> ( X1 = domain(X1,X0,X2)
& subset(X1,range(X1,X0,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( subset(X2,domain(X0,X1,X3))
& subset(X2,range(X0,X1,X3)) )
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f38,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( subset(X2,domain(X0,X1,X3))
& subset(X2,range(X0,X1,X3)) )
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f37]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f43]) ).
fof(f47,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f16]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f60]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f30]) ).
fof(f74,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) != X1
| ~ subset(X1,range(X1,X0,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f75,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( domain(X1,X0,X2) != X1
| ~ subset(X1,range(X1,X0,X2)) )
& subset(identity_relation_of(X1),X2)
& ilf_type(X2,relation_type(X1,X0)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f74]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f80]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f47]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f85]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f53]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f58]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f92]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0)
& ilf_type(sK6(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f93]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f61]) ).
fof(f103,plain,
( ( sK13 != domain(sK13,sK12,sK14)
| ~ subset(sK13,range(sK13,sK12,sK14)) )
& subset(identity_relation_of(sK13),sK14)
& ilf_type(sK14,relation_type(sK13,sK12))
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f75]) ).
fof(f105,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f106,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f38]) ).
fof(f116,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f117,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f125,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f86]) ).
fof(f134,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f90]) ).
fof(f139,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f94]) ).
fof(f144,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f145,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f95]) ).
fof(f159,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f70]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f71]) ).
fof(f161,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f163,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f32]) ).
fof(f166,plain,
ilf_type(sK14,relation_type(sK13,sK12)),
inference(cnf_transformation,[],[f103]) ).
fof(f167,plain,
subset(identity_relation_of(sK13),sK14),
inference(cnf_transformation,[],[f103]) ).
fof(f168,plain,
( sK13 != domain(sK13,sK12,sK14)
| ~ subset(sK13,range(sK13,sK12,sK14)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f172,definition,
sF15 = domain(sK13,sK12,sK14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f173,plain,
domain(sK13,sK12,sK14) = sF15,
inference(reorient_equations,[],[f172]) ).
fof(f174,definition,
sF16 = range(sK13,sK12,sK14),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f175,plain,
range(sK13,sK12,sK14) = sF16,
inference(reorient_equations,[],[f174]) ).
fof(f176,plain,
( sK13 != sF15
| ~ subset(sK13,sF16) ),
inference(definition_folding,[],[f168,f175,f173]) ).
fof(f177,definition,
sF17 = identity_relation_of(sK13),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f178,plain,
identity_relation_of(sK13) = sF17,
inference(reorient_equations,[],[f177]) ).
fof(f179,plain,
subset(sF17,sK14),
inference(definition_folding,[],[f167,f178]) ).
fof(f180,definition,
sF18 = relation_type(sK13,sK12),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f181,plain,
relation_type(sK13,sK12) = sF18,
inference(reorient_equations,[],[f180]) ).
fof(f182,plain,
ilf_type(sK14,sF18),
inference(definition_folding,[],[f166,f181]) ).
fof(f188,definition,
( spl19_1
<=> subset(sK13,sF16) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f190,plain,
( ~ subset(sK13,sF16)
| spl19_1 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl19_2
<=> sK13 = sF15 ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f194,plain,
( sK13 != sF15
| spl19_2 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f176,f192,f188]) ).
fof(f197,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f161,f163]) ).
fof(f198,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f160,f163]) ).
fof(f199,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f159,f163]) ).
fof(f208,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f145,f163]) ).
fof(f210,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f144,f163]) ).
fof(f211,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f139,f163]) ).
fof(f216,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f134,f163]) ).
fof(f222,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f125,f163]) ).
fof(f225,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f116,f163]) ).
fof(f226,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f117,f163]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f105,f163]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f106,f163]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(forward_subsumption_resolution,[],[f197,f163]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f198,f163]) ).
fof(f240,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(forward_subsumption_resolution,[],[f199,f163]) ).
fof(f245,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f208,f163]) ).
fof(f247,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f211,f163]) ).
fof(f250,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f216,f163]) ).
fof(f252,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f222,f163]) ).
fof(f255,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f225,f163]) ).
fof(f256,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f226,f163]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( subset(X2,range(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f234,f163]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( subset(X2,domain(X0,X1,X3))
| ~ subset(identity_relation_of(X2),X3)
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f235,f163]) ).
fof(f268,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f247,f163]) ).
fof(f272,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ~ subset(identity_relation_of(X2),X3)
| subset(X2,range(X0,X1,X3)) ),
inference(forward_subsumption_resolution,[],[f263,f163]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ~ subset(identity_relation_of(X2),X3)
| subset(X2,domain(X0,X1,X3)) ),
inference(forward_subsumption_resolution,[],[f264,f163]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(resolution,[],[f250,f245]) ).
fof(f302,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f301,f210]) ).
fof(f311,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| member(sK1(X1,X0),X1) ),
inference(resolution,[],[f252,f255]) ).
fof(f378,plain,
! [X0] :
( ~ ilf_type(X0,sF18)
| range_of(X0) = range(sK13,sK12,X0) ),
inference(superposition,[],[f238,f181]) ).
fof(f385,plain,
( ilf_type(sF15,subset_type(sK13))
| ~ ilf_type(sK14,relation_type(sK13,sK12)) ),
inference(superposition,[],[f239,f173]) ).
fof(f386,plain,
( ~ ilf_type(sK14,sF18)
| ilf_type(sF15,subset_type(sK13)) ),
inference(forward_demodulation,[],[f385,f181]) ).
fof(f387,plain,
ilf_type(sF15,subset_type(sK13)),
inference(forward_subsumption_resolution,[],[f386,f182]) ).
fof(f388,plain,
member(sF15,power_set(sK13)),
inference(resolution,[],[f387,f302]) ).
fof(f390,plain,
! [X0] :
( ~ ilf_type(X0,sF18)
| domain_of(X0) = domain(sK13,sK12,X0) ),
inference(superposition,[],[f240,f181]) ).
fof(f391,plain,
! [X0] :
( ~ member(X0,sF15)
| member(X0,sK13) ),
inference(resolution,[],[f388,f268]) ).
fof(f477,plain,
! [X0,X1] :
( ~ subset(identity_relation_of(X1),X0)
| ~ ilf_type(X0,sF18)
| subset(X1,range(sK13,sK12,X0)) ),
inference(superposition,[],[f272,f181]) ).
fof(f484,plain,
! [X0,X1] :
( ~ subset(identity_relation_of(X1),X0)
| ~ ilf_type(X0,sF18)
| subset(X1,domain(sK13,sK12,X0)) ),
inference(superposition,[],[f273,f181]) ).
fof(f634,plain,
range(sK13,sK12,sK14) = range_of(sK14),
inference(resolution,[],[f378,f182]) ).
fof(f641,plain,
domain(sK13,sK12,sK14) = domain_of(sK14),
inference(resolution,[],[f390,f182]) ).
fof(f644,plain,
sF16 = range_of(sK14),
inference(superposition,[],[f175,f634]) ).
fof(f701,plain,
sF15 = domain_of(sK14),
inference(superposition,[],[f173,f641]) ).
fof(f707,plain,
! [X0] :
( ~ subset(sF17,X0)
| ~ ilf_type(X0,sF18)
| subset(sK13,range(sK13,sK12,X0)) ),
inference(superposition,[],[f477,f178]) ).
fof(f711,plain,
! [X0] :
( ~ member(X0,domain_of(sK14))
| member(X0,sK13) ),
inference(superposition,[],[f391,f701]) ).
fof(f716,plain,
! [X0] :
( ~ subset(sF17,X0)
| ~ ilf_type(X0,sF18)
| subset(sK13,domain(sK13,sK12,X0)) ),
inference(superposition,[],[f484,f178]) ).
fof(f1109,plain,
( sK13 != domain_of(sK14)
| spl19_2 ),
inference(forward_demodulation,[],[f194,f701]) ).
fof(f1139,plain,
( ~ subset(sK13,range_of(sK14))
| spl19_1 ),
inference(forward_demodulation,[],[f190,f644]) ).
fof(f1836,plain,
( ~ ilf_type(sK14,sF18)
| subset(sK13,range(sK13,sK12,sK14)) ),
inference(resolution,[],[f707,f179]) ).
fof(f1865,plain,
subset(sK13,range(sK13,sK12,sK14)),
inference(forward_subsumption_resolution,[],[f1836,f182]) ).
fof(f1866,plain,
subset(sK13,sF16),
inference(forward_demodulation,[],[f1865,f175]) ).
fof(f1867,plain,
subset(sK13,range_of(sK14)),
inference(forward_demodulation,[],[f1866,f644]) ).
fof(f1868,plain,
( $false
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f1867,f1139]) ).
fof(f1869,plain,
spl19_1,
inference(avatar_contradiction_clause,[],[f1868]) ).
fof(f1924,plain,
( ~ ilf_type(sK14,sF18)
| subset(sK13,domain(sK13,sK12,sK14)) ),
inference(resolution,[],[f716,f179]) ).
fof(f1931,plain,
subset(sK13,domain(sK13,sK12,sK14)),
inference(forward_subsumption_resolution,[],[f1924,f182]) ).
fof(f1932,plain,
subset(sK13,sF15),
inference(forward_demodulation,[],[f1931,f173]) ).
fof(f1933,plain,
subset(sK13,domain_of(sK14)),
inference(forward_demodulation,[],[f1932,f701]) ).
fof(f1937,plain,
( sK13 = domain_of(sK14)
| member(sK1(domain_of(sK14),sK13),domain_of(sK14)) ),
inference(resolution,[],[f1933,f311]) ).
fof(f1940,plain,
( ~ subset(domain_of(sK14),sK13)
| sK13 = domain_of(sK14) ),
inference(resolution,[],[f1933,f252]) ).
fof(f1941,plain,
( ~ subset(domain_of(sK14),sK13)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f1940,f1109]) ).
fof(f1944,plain,
( member(sK1(domain_of(sK14),sK13),domain_of(sK14))
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f1937,f1109]) ).
fof(f3500,plain,
( member(sK1(domain_of(sK14),sK13),sK13)
| spl19_2 ),
inference(resolution,[],[f1944,f711]) ).
fof(f3847,plain,
( subset(domain_of(sK14),sK13)
| spl19_2 ),
inference(resolution,[],[f3500,f256]) ).
fof(f3854,plain,
( $false
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f3847,f1941]) ).
fof(f3855,plain,
spl19_2,
inference(avatar_contradiction_clause,[],[f3854]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f195]) ).
cnf(s102,plain,
spl19_1,
inference(sat_conversion,[],[f1869]) ).
cnf(s216,plain,
spl19_2,
inference(sat_conversion,[],[f3855]) ).
cnf(s223,plain,
$false,
inference(rat,[],[s1,s216,s102]) ).
fof(f3856,plain,
$false,
inference(avatar_sat_refutation,[],[s223]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET668+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n011.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 02:29:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 2.01/0.74 % (2963058)Will run a generic schedule for satisfiability detection.
% 2.01/0.74 % (2963067)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3303837334:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.01/0.74 % (2963064)% WARNING: option uhcvi not known.
% 2.01/0.74 % (2963063)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=469977709_2999 on theBenchmark for (2999ds/0Mi)
% 2.01/0.74 % (2963064)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3674357797:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.01/0.74 % (2963065)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1542285393:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.01/0.74 % (2963066)dis+10_1_sil=32000:sp=arity:random_seed=2622079600:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.01/0.74 % (2963068)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=817100377:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.01/0.74 % (2963069)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1521614414:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.01/0.74 % TRYING [1]
% 2.01/0.74 % TRYING [2]
% 2.01/0.74 % TRYING [3]
% 2.01/0.74 % (2963067)Instruction limit reached!
% 2.01/0.74 % (2963067)------------------------------
% 2.01/0.74 % (2963067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963067)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963067)Termination reason: Instruction limit
% 2.01/0.74 % (2963067)Termination phase: Saturation
% 2.01/0.74 % (2963067)Time elapsed: 0.040 s
% 2.01/0.74 % (2963067)Peak memory usage: 12 MB
% 2.01/0.74 % (2963067)Instructions burned: 116 (million)
% 2.01/0.74 % TRYING [4]
% 2.01/0.74 % (2963077)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1838715499:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.01/0.74 % TRYING [1]
% 2.01/0.74 % TRYING [2]
% 2.01/0.74 % TRYING [3]
% 2.01/0.74 % TRYING [4]
% 2.01/0.74 % (2963066)Instruction limit reached!
% 2.01/0.74 % (2963066)------------------------------
% 2.01/0.74 % (2963066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963066)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963066)Termination reason: Instruction limit
% 2.01/0.74 % (2963066)Termination phase: Saturation
% 2.01/0.74 % (2963066)Time elapsed: 0.070 s
% 2.01/0.74 % (2963066)Peak memory usage: 13 MB
% 2.01/0.74 % (2963066)Instructions burned: 104 (million)
% 2.01/0.74 % (2963079)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2088651234:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.01/0.74 % (2963068)Instruction limit reached!
% 2.01/0.74 % (2963068)------------------------------
% 2.01/0.74 % (2963068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963068)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963068)Termination reason: Instruction limit
% 2.01/0.74 % (2963068)Termination phase: Saturation
% 2.01/0.74 % (2963068)Time elapsed: 0.092 s
% 2.01/0.74 % (2963068)Peak memory usage: 13 MB
% 2.01/0.74 % (2963068)Instructions burned: 132 (million)
% 2.01/0.74 % (2963081)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=1228498110:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.01/0.74 % (2963069)Instruction limit reached!
% 2.01/0.74 % (2963069)------------------------------
% 2.01/0.74 % (2963069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963069)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963069)Termination reason: Instruction limit
% 2.01/0.74 % (2963069)Termination phase: Saturation
% 2.01/0.74 % (2963069)Time elapsed: 0.115 s
% 2.01/0.74 % (2963069)Peak memory usage: 14 MB
% 2.01/0.74 % (2963069)Instructions burned: 160 (million)
% 2.01/0.74 % (2963083)ott-21_1_sil=16000:fs=off:random_seed=3780141080:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.01/0.74 % (2963079)Instruction limit reached!
% 2.01/0.74 % (2963079)------------------------------
% 2.01/0.74 % (2963079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963079)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963079)Termination reason: Instruction limit
% 2.01/0.74 % (2963079)Termination phase: Saturation
% 2.01/0.74 % (2963079)Time elapsed: 0.093 s
% 2.01/0.74 % (2963079)Peak memory usage: 14 MB
% 2.01/0.74 % (2963079)Instructions burned: 132 (million)
% 2.01/0.74 % (2963085)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1846361231:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.01/0.74 % (2963083)Instruction limit reached!
% 2.01/0.74 % (2963083)------------------------------
% 2.01/0.74 % (2963083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963083)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963083)Termination reason: Instruction limit
% 2.01/0.74 % (2963083)Termination phase: Saturation
% 2.01/0.74 % (2963083)Time elapsed: 0.097 s
% 2.01/0.74 % (2963083)Peak memory usage: 13 MB
% 2.01/0.74 % (2963083)Instructions burned: 181 (million)
% 2.01/0.74 % (2963077)Instruction limit reached!
% 2.01/0.74 % (2963077)------------------------------
% 2.01/0.74 % (2963077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.74 % (2963077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.74 % (2963077)CaDiCaL version: 2.1.3
% 2.01/0.74 % (2963077)Termination reason: Instruction limit
% 2.01/0.74 % (2963077)Termination phase: Finite model building SAT solving
% 2.01/0.74 % (2963077)Time elapsed: 0.207 s
% 2.01/0.74 % (2963077)Peak memory usage: 16 MB
% 2.01/0.74 % (2963077)Instructions burned: 717 (million)
% 2.01/0.74 % (2963087)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3912472930:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.01/0.74 % TRYING [1]
% 2.01/0.74 % TRYING [2]
% 2.01/0.74 % (2963088)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=374933159:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.01/0.74 % TRYING [3]
% 2.01/0.74 % TRYING [4]
% 2.01/0.74 % (2963088) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2963058-2963088"...
% 2.01/0.74 % (2963088)...printing done.
% 2.01/0.74 % (2963088)Refutation found. Thanks to Tanya!
% 2.01/0.74 % SZS status Theorem for theBenchmark
% 2.01/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.01/0.75 % (2963088)------------------------------
% 2.01/0.75 % (2963088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.01/0.75 % (2963088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.01/0.75 % (2963088)CaDiCaL version: 2.1.3
% 2.01/0.75 % (2963088)Termination reason: Refutation
% 2.01/0.75 % (2963088)Time elapsed: 0.048 s
% 2.01/0.75 % (2963088)Peak memory usage: 14 MB
% 2.01/0.75 % (2963088)Instructions burned: 133 (million)
% 2.01/0.75 % (2963058)Success in time 0.347 s
% 2.01/0.75 % Vampire exiting
%------------------------------------------------------------------------------