%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET652+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 : 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 12:44:19 PM UTC 2026
% Result : Theorem 27.80s 22.72s
% Output : Refutation 27.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 110 ( 18 unt; 0 def)
% Number of atoms : 462 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 600 ( 248 ~; 238 |; 54 &)
% ( 15 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 247 ( 233 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f9,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',p9) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f15,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',p15) ).
fof(f18,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',p18) ).
fof(f20,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',p20) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f24,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( empty(X0)
<=> ! [X1] :
( ilf_type(X1,set_type)
=> ~ member(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f27,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_14) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X2,X0))
=> ( subset(range_of(X3),X1)
=> ilf_type(X3,relation_type(X2,X1)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) )
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f6]) ).
fof(f39,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,[],[f9]) ).
fof(f40,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,[],[f39]) ).
fof(f44,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f45,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,[],[f15]) ).
fof(f48,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,[],[f18]) ).
fof(f49,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,[],[f48]) ).
fof(f51,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,[],[f20]) ).
fof(f52,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,[],[f51]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f23]) ).
fof(f58,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f24]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(range_of(X3),X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X2,X1))
& subset(range_of(X3),X1)
& ilf_type(X3,relation_type(X2,X0)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f61]) ).
fof(f67,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,[],[f40]) ).
fof(f68,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,[],[f67]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK2(X0,X1),X1)
& member(sK2(X0,X1),X0)
& ilf_type(sK2(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,[sK2]),skolemize(X2,sK2(X0,X1))],[f68]) ).
fof(f70,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f44]) ).
fof(f71,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f70]) ).
fof(f73,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,[],[f45]) ).
fof(f75,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,[],[f49]) ).
fof(f76,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,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK5(X0,X1),X1)
& member(sK5(X0,X1),X0)
& ilf_type(sK5(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,[sK5]),skolemize(X2,sK5(X0,X1))],[f76]) ).
fof(f78,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,[],[f52]) ).
fof(f83,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f58]) ).
fof(f84,plain,
! [X0] :
( ( ( empty(X0)
| ? [X1] :
( member(X1,X0)
& ilf_type(X1,set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f83]) ).
fof(f85,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK10(X0),X0)
& ilf_type(sK10(X0),set_type) ) )
& ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ empty(X0) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X1,sK10(X0))],[f84]) ).
fof(f86,plain,
( ~ ilf_type(sK14,relation_type(sK13,sK12))
& subset(range_of(sK14),sK12)
& ilf_type(sK14,relation_type(sK13,sK11))
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13),skolemize(X3,sK14)],[f62]) ).
fof(f87,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f30]) ).
fof(f88,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f33]) ).
fof(f90,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f34]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f34]) ).
fof(f94,plain,
! [X2,X0,X1] :
( subset(domain_of(X2),X0)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f99,plain,
! [X3,X0,X1] :
( 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(cnf_transformation,[],[f69]) ).
fof(f108,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f71]) ).
fof(f111,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(cnf_transformation,[],[f73]) ).
fof(f116,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK5(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f77]) ).
fof(f117,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK5(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f77]) ).
fof(f121,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(cnf_transformation,[],[f78]) ).
fof(f129,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f57]) ).
fof(f130,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f85]) ).
fof(f134,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f138,plain,
ilf_type(sK14,relation_type(sK13,sK11)),
inference(cnf_transformation,[],[f86]) ).
fof(f139,plain,
subset(range_of(sK14),sK12),
inference(cnf_transformation,[],[f86]) ).
fof(f140,plain,
~ ilf_type(sK14,relation_type(sK13,sK12)),
inference(cnf_transformation,[],[f86]) ).
fof(f141,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f149,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f141,f134]) ).
fof(f165,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f130,f134]) ).
fof(f166,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f165,f134]) ).
fof(f179,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f129,f134]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f179,f134]) ).
fof(f194,plain,
! [X2,X0,X1] :
( subset(domain_of(X2),X0)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f94,f134]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| subset(domain_of(X2),X0) ),
inference(forward_subsumption_resolution,[],[f194,f134]) ).
fof(f196,plain,
subset(domain_of(sK14),sK13),
inference(unit_resulting_resolution,[],[f195,f138]) ).
fof(f203,plain,
! [X0,X1] :
( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f111,f134]) ).
fof(f204,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f203,f134]) ).
fof(f219,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK5(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f116,f134]) ).
fof(f220,plain,
! [X0,X1] :
( member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f219,f134]) ).
fof(f227,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK5(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f117,f134]) ).
fof(f228,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f227,f134]) ).
fof(f255,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f121,f166]) ).
fof(f256,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f255,f134]) ).
fof(f257,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f256,f134]) ).
fof(f356,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f90,f134]) ).
fof(f357,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f356,f134]) ).
fof(f358,plain,
ilf_type(sK14,subset_type(cross_product(sK13,sK11))),
inference(unit_resulting_resolution,[],[f357,f138]) ).
fof(f362,plain,
relation_like(sK14),
inference(unit_resulting_resolution,[],[f180,f358]) ).
fof(f367,plain,
ilf_type(sK14,binary_relation_type),
inference(unit_resulting_resolution,[],[f149,f362]) ).
fof(f369,plain,
subset(sK14,cross_product(domain_of(sK14),range_of(sK14))),
inference(unit_resulting_resolution,[],[f88,f367]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f91,f134]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f412,f134]) ).
fof(f414,plain,
~ ilf_type(sK14,subset_type(cross_product(sK13,sK12))),
inference(unit_resulting_resolution,[],[f413,f140]) ).
fof(f431,plain,
~ ilf_type(sK14,member_type(power_set(cross_product(sK13,sK12)))),
inference(unit_resulting_resolution,[],[f204,f414]) ).
fof(f438,plain,
~ member(sK14,power_set(cross_product(sK13,sK12))),
inference(unit_resulting_resolution,[],[f257,f431]) ).
fof(f444,plain,
member(sK5(sK14,cross_product(sK13,sK12)),sK14),
inference(unit_resulting_resolution,[],[f220,f438]) ).
fof(f448,plain,
~ member(sK5(sK14,cross_product(sK13,sK12)),cross_product(sK13,sK12)),
inference(unit_resulting_resolution,[],[f228,f438]) ).
fof(f830,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f87,f134]) ).
fof(f831,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f830,f134]) ).
fof(f832,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[],[f831,f134]) ).
fof(f2676,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f99,f134]) ).
fof(f2677,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f2676,f134]) ).
fof(f2678,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f2677,f134]) ).
fof(f3194,plain,
~ subset(sK14,cross_product(sK13,sK12)),
inference(unit_resulting_resolution,[],[f2678,f448,f444]) ).
fof(f3241,plain,
~ subset(cross_product(domain_of(sK14),range_of(sK14)),cross_product(sK13,sK12)),
inference(unit_resulting_resolution,[],[f832,f369,f3194]) ).
fof(f7137,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f89,f134]) ).
fof(f7138,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type) ),
inference(forward_subsumption_resolution,[],[f7137,f134]) ).
fof(f7139,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type) ),
inference(forward_subsumption_resolution,[],[f7138,f134]) ).
fof(f7140,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(forward_subsumption_resolution,[],[f7139,f134]) ).
fof(f27535,plain,
$false,
inference(unit_resulting_resolution,[],[f7140,f139,f196,f3241]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET652+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/10.39 % Computer : n010.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Mon Sep 28 02:28:43 UTC 2026
% 0.10/10.39 % CPUTime :
% 0.10/10.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/10.42 Running first-order model finding
% 0.15/10.42 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
% 27.46/14.38 % (1506437)Will run a generic schedule for satisfiability detection.
% 27.46/14.38 % (1506443)% WARNING: option uhcvi not known.
% 27.46/14.38 % (1506447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1842432606:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 27.46/14.38 % (1506442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=316260032_2999 on theBenchmark for (2999ds/0Mi)
% 27.46/14.38 % (1506445)dis+10_1_sil=32000:sp=arity:random_seed=3471862569:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 27.46/14.38 % (1506444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=448907116:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 27.46/14.38 % (1506443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=755798670:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 27.46/14.38 % (1506446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2244910267:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 27.46/14.38 % (1506448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3655610182:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 27.46/14.38 % TRYING [1]
% 27.46/14.38 % TRYING [2]
% 27.46/14.38 % TRYING [3]
% 27.46/14.38 % (1506445)Instruction limit reached!
% 27.46/14.38 % (1506445)------------------------------
% 27.46/14.38 % (1506445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.46/14.38 % (1506445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.46/14.38 % (1506445)CaDiCaL version: 2.1.3
% 27.46/14.38 % (1506445)Termination reason: Instruction limit
% 27.46/14.38 % (1506445)Termination phase: Saturation
% 27.46/14.38 % (1506445)Time elapsed: 0.064 s
% 27.46/14.38 % (1506445)Peak memory usage: 13 MB
% 27.46/14.38 % (1506445)Instructions burned: 104 (million)
% 27.46/14.38 % (1506446)Instruction limit reached!
% 27.46/14.38 % (1506446)------------------------------
% 27.46/14.38 % (1506446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.46/14.38 % (1506446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.46/14.38 % (1506446)CaDiCaL version: 2.1.3
% 27.46/14.38 % (1506446)Termination reason: Instruction limit
% 27.46/14.38 % (1506446)Termination phase: Saturation
% 27.46/14.38 % (1506446)Time elapsed: 0.068 s
% 27.46/14.38 % (1506446)Peak memory usage: 12 MB
% 27.46/14.38 % (1506446)Instructions burned: 116 (million)
% 27.46/14.38 % (1506457)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4247523248:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 27.46/14.38 % (1506456)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=341904873:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 27.46/14.38 % (1506447)Instruction limit reached!
% 27.46/14.38 % (1506447)------------------------------
% 27.46/14.38 % (1506447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.46/14.38 % (1506447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.46/14.38 % (1506447)CaDiCaL version: 2.1.3
% 27.46/14.38 % (1506447)Termination reason: Instruction limit
% 27.46/14.38 % (1506447)Termination phase: Saturation
% 27.46/14.38 % (1506447)Time elapsed: 0.085 s
% 27.46/14.38 % (1506447)Peak memory usage: 13 MB
% 27.46/14.38 % (1506447)Instructions burned: 131 (million)
% 27.46/14.38 % TRYING [1]
% 27.46/14.38 % TRYING [2]
% 27.46/14.38 % TRYING [3]
% 27.46/14.38 % (1506460)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=2390594464:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 27.46/14.38 % (1506448)Instruction limit reached!
% 27.46/14.38 % (1506448)------------------------------
% 27.46/14.38 % (1506448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.46/14.38 % (1506448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.46/14.38 % (1506448)CaDiCaL version: 2.1.3
% 27.46/14.38 % (1506448)Termination reason: Instruction limit
% 27.46/14.38 % (1506448)Termination phase: Saturation
% 27.46/14.38 % (1506448)Time elapsed: 0.107 s
% 27.46/14.38 % (1506448)Peak memory usage: 13 MB
% 27.46/14.38 % (1506448)Instructions burned: 159 (million)
% 27.46/14.38 % TRYING [4]
% 27.46/14.38 % (1506457)Instruction limit reached!
% 27.46/14.38 % (1506457)------------------------------
% 27.46/14.38 % (1506457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.46/14.38 % (1506457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.46/14.38 % (1506457)CaDiCaL version: 2.1.3
% 27.46/14.38 % (1506457)Termination reason: Instruction limit
% 55.78/18.35 % (1506457)Termination phase: Saturation
% 55.78/18.35 % (1506457)Time elapsed: 0.046 s
% 55.78/18.35 % (1506457)Peak memory usage: 14 MB
% 55.78/18.35 % (1506457)Instructions burned: 131 (million)
% 55.78/18.35 % (1506462)ott-21_1_sil=16000:fs=off:random_seed=2067521543:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 55.78/18.35 % (1506464)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=249079239:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 55.78/18.35 % TRYING [4]
% 55.78/18.35 % (1506462)Instruction limit reached!
% 55.78/18.35 % (1506462)------------------------------
% 55.78/18.35 % (1506462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.78/18.35 % (1506462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.78/18.35 % (1506462)CaDiCaL version: 2.1.3
% 55.78/18.35 % (1506462)Termination reason: Instruction limit
% 55.78/18.35 % (1506462)Termination phase: Saturation
% 55.78/18.35 % (1506462)Time elapsed: 0.093 s
% 55.78/18.35 % (1506462)Peak memory usage: 13 MB
% 55.78/18.35 % (1506462)Instructions burned: 180 (million)
% 55.78/18.35 % (1506466)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2646356272:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 55.78/18.35 % TRYING [1]
% 55.78/18.35 % TRYING [2]
% 55.78/18.35 % TRYING [3]
% 55.78/18.35 % (1506464)Instruction limit reached!
% 55.78/18.35 % (1506464)------------------------------
% 55.78/18.35 % (1506464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.78/18.35 % (1506464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.78/18.35 % (1506464)CaDiCaL version: 2.1.3
% 55.78/18.35 % (1506464)Termination reason: Instruction limit
% 55.78/18.35 % (1506464)Termination phase: Saturation
% 55.78/18.35 % (1506464)Time elapsed: 0.154 s
% 55.78/18.35 % (1506464)Peak memory usage: 14 MB
% 55.78/18.35 % (1506464)Instructions burned: 478 (million)
% 55.78/18.35 % TRYING [4]
% 55.78/18.35 % (1506468)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3236751865:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 55.78/18.35 % (1506460)Instruction limit reached!
% 55.78/18.35 % (1506460)------------------------------
% 55.78/18.35 % (1506460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.78/18.35 % (1506460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.78/18.35 % (1506460)CaDiCaL version: 2.1.3
% 55.78/18.35 % (1506460)Termination reason: Instruction limit
% 55.78/18.35 % (1506460)Termination phase: Saturation
% 55.78/18.35 % (1506460)Time elapsed: 0.357 s
% 55.78/18.35 % (1506460)Peak memory usage: 26 MB
% 55.78/18.35 % (1506460)Instructions burned: 685 (million)
% 55.78/18.35 % (1506470)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1013303672:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 55.78/18.35 % TRYING [14]
% 55.78/18.35 % (1506456)Instruction limit reached!
% 55.78/18.35 % (1506456)------------------------------
% 55.78/18.35 % (1506456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.78/18.35 % (1506456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.78/18.35 % (1506456)CaDiCaL version: 2.1.3
% 55.78/18.35 % (1506456)Termination reason: Instruction limit
% 55.78/18.35 % (1506456)Termination phase: Finite model building SAT solving
% 55.78/18.35 % (1506456)Time elapsed: 0.427 s
% 55.78/18.35 % (1506456)Peak memory usage: 15 MB
% 55.78/18.35 % (1506456)Instructions burned: 714 (million)
% 55.78/18.35 % (1506472)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=1107860601:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 55.78/18.35 % (1506466)Instruction limit reached!
% 55.78/18.35 % (1506466)------------------------------
% 55.78/18.35 % (1506466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 55.78/18.35 % (1506466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.78/18.35 % (1506466)CaDiCaL version: 2.1.3
% 55.78/18.35 % (1506466)Termination reason: Instruction limit
% 55.78/18.35 % (1506466)Termination phase: Finite model building SAT solving
% 55.78/18.35 % (1506466)Time elapsed: 0.534 s
% 55.78/18.35 % (1506466)Peak memory usage: 13 MB
% 55.78/18.35 % (1506466)Instructions burned: 866 (million)
% 55.78/18.35 % (1506474)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2515134455:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 55.78/18.35 % (1506470)Instruction limit reached!
% 55.78/18.35 % (1506470)------------------------------
% 55.78/18.35 % (1506470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506470)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506470)Termination reason: Instruction limit
% 27.80/22.72 % (1506470)Termination phase: Finite model building constraint generation
% 27.80/22.72 % (1506470)Time elapsed: 0.338 s
% 27.80/22.72 % (1506470)Peak memory usage: 63 MB
% 27.80/22.72 % (1506470)Instructions burned: 889 (million)
% 27.80/22.72 % (1506476)fmb+10_1_sil=64000:random_seed=1924730606:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 27.80/22.72 % TRYING [1]
% 27.80/22.72 % TRYING [2]
% 27.80/22.72 % TRYING [3]
% 27.80/22.72 % TRYING [4]
% 27.80/22.72 % (1506472)Instruction limit reached!
% 27.80/22.72 % (1506472)------------------------------
% 27.80/22.72 % (1506472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506472)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506472)Termination reason: Instruction limit
% 27.80/22.72 % (1506472)Termination phase: Saturation
% 27.80/22.72 % (1506472)Time elapsed: 0.393 s
% 27.80/22.72 % (1506472)Peak memory usage: 19 MB
% 27.80/22.72 % (1506472)Instructions burned: 692 (million)
% 27.80/22.72 % (1506478)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3099485899:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 27.80/22.72 % TRYING [20]
% 27.80/22.72 % (1506468)Instruction limit reached!
% 27.80/22.72 % (1506468)------------------------------
% 27.80/22.72 % (1506468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506468)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506468)Termination reason: Instruction limit
% 27.80/22.72 % (1506468)Termination phase: Saturation
% 27.80/22.72 % (1506468)Time elapsed: 0.711 s
% 27.80/22.72 % (1506468)Peak memory usage: 25 MB
% 27.80/22.72 % (1506468)Instructions burned: 1179 (million)
% 27.80/22.72 % (1506480)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1987704419:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 27.80/22.72 % TRYING [8]
% 27.80/22.72 % (1506474)Instruction limit reached!
% 27.80/22.72 % (1506474)------------------------------
% 27.80/22.72 % (1506474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506474)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506474)Termination reason: Instruction limit
% 27.80/22.72 % (1506474)Termination phase: Saturation
% 27.80/22.72 % (1506474)Time elapsed: 0.479 s
% 27.80/22.72 % (1506474)Peak memory usage: 18 MB
% 27.80/22.72 % (1506474)Instructions burned: 881 (million)
% 27.80/22.72 % (1506482)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1611603290:i=5131_2986 on theBenchmark for (2986ds/5131Mi)
% 27.80/22.72 % (1506480)Instruction limit reached!
% 27.80/22.72 % (1506480)------------------------------
% 27.80/22.72 % (1506480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506480)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506480)Termination reason: Instruction limit
% 27.80/22.72 % (1506480)Termination phase: Finite model building SAT solving
% 27.80/22.72 % (1506480)Time elapsed: 0.450 s
% 27.80/22.72 % (1506480)Peak memory usage: 36 MB
% 27.80/22.72 % (1506480)Instructions burned: 922 (million)
% 27.80/22.72 % (1506484)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=351725566:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 27.80/22.72 % TRYING [5]
% 27.80/22.72 % (1506484)Instruction limit reached!
% 27.80/22.72 % (1506484)------------------------------
% 27.80/22.72 % (1506484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506484)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506484)Termination reason: Instruction limit
% 27.80/22.72 % (1506484)Termination phase: Saturation
% 27.80/22.72 % (1506484)Time elapsed: 0.724 s
% 27.80/22.72 % (1506484)Peak memory usage: 26 MB
% 27.80/22.72 % (1506484)Instructions burned: 1474 (million)
% 27.80/22.72 % (1506486)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1307321866:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 27.80/22.72 % TRYING [77]
% 27.80/22.72 % TRYING [5]
% 27.80/22.72 % (1506482)Instruction limit reached!
% 27.80/22.72 % (1506482)------------------------------
% 27.80/22.72 % (1506482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506482)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506482)Termination reason: Instruction limit
% 27.80/22.72 % (1506482)Termination phase: Saturation
% 27.80/22.72 % (1506482)Time elapsed: 2.631 s
% 27.80/22.72 % (1506482)Peak memory usage: 25 MB
% 27.80/22.72 % (1506482)Instructions burned: 5131 (million)
% 27.80/22.72 % (1506488)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=236810230:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 27.80/22.72 % TRYING [16]
% 27.80/22.72 % (1506486)Instruction limit reached!
% 27.80/22.72 % (1506486)------------------------------
% 27.80/22.72 % (1506486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506486)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506486)Termination reason: Instruction limit
% 27.80/22.72 % (1506486)Termination phase: Finite model building constraint generation
% 27.80/22.72 % (1506486)Time elapsed: 2.195 s
% 27.80/22.72 % (1506486)Peak memory usage: 409 MB
% 27.80/22.72 % (1506486)Instructions burned: 6327 (million)
% 27.80/22.72 % (1506490)ott-2_1_sil=16000:newcnf=on:random_seed=1199108608:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 27.80/22.72 % (1506488)Instruction limit reached!
% 27.80/22.72 % (1506488)------------------------------
% 27.80/22.72 % (1506488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506488)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506488)Termination reason: Instruction limit
% 27.80/22.72 % (1506488)Termination phase: Finite model building constraint generation
% 27.80/22.72 % (1506488)Time elapsed: 0.826 s
% 27.80/22.72 % (1506488)Peak memory usage: 176 MB
% 27.80/22.72 % (1506488)Instructions burned: 2174 (million)
% 27.80/22.72 % (1506492)ott+10_1_sil=32000:tgt=ground:random_seed=964079203:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 27.80/22.72 % (1506490)Instruction limit reached!
% 27.80/22.72 % (1506490)------------------------------
% 27.80/22.72 % (1506490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506490)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506490)Termination reason: Instruction limit
% 27.80/22.72 % (1506490)Termination phase: Saturation
% 27.80/22.72 % (1506490)Time elapsed: 0.501 s
% 27.80/22.72 % (1506490)Peak memory usage: 18 MB
% 27.80/22.72 % (1506490)Instructions burned: 870 (million)
% 27.80/22.72 % (1506494)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2065950911:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 27.80/22.72 % TRYING [1]
% 27.80/22.72 % TRYING [2]
% 27.80/22.72 % TRYING [3]
% 27.80/22.72 % TRYING [4]
% 27.80/22.72 % (1506478)Instruction limit reached!
% 27.80/22.72 % (1506478)------------------------------
% 27.80/22.72 % (1506478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506478)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506478)Termination reason: Instruction limit
% 27.80/22.72 % (1506478)Termination phase: Finite model building SAT solving
% 27.80/22.72 % (1506478)Time elapsed: 4.451 s
% 27.80/22.72 % (1506478)Peak memory usage: 491 MB
% 27.80/22.72 % (1506478)Instructions burned: 9516 (million)
% 27.80/22.72 % (1506496)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2598395901:i=3512:aac=none_2945 on theBenchmark for (2945ds/3512Mi)
% 27.80/22.72 % TRYING [5]
% 27.80/22.72 % (1506496)Instruction limit reached!
% 27.80/22.72 % (1506496)------------------------------
% 27.80/22.72 % (1506496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506496)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506496)Termination reason: Instruction limit
% 27.80/22.72 % (1506496)Termination phase: Saturation
% 27.80/22.72 % (1506496)Time elapsed: 1.898 s
% 27.80/22.72 % (1506496)Peak memory usage: 26 MB
% 27.80/22.72 % (1506496)Instructions burned: 3513 (million)
% 27.80/22.72 % (1506498)dis+21_1_sil=32000:sas=cadical:random_seed=474596503:i=3773:amm=off_2925 on theBenchmark for (2925ds/3773Mi)
% 27.80/22.72 % (1506492)Instruction limit reached!
% 27.80/22.72 % (1506492)------------------------------
% 27.80/22.72 % (1506492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506492)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506492)Termination reason: Instruction limit
% 27.80/22.72 % (1506492)Termination phase: Saturation
% 27.80/22.72 % (1506492)Time elapsed: 3.067 s
% 27.80/22.72 % (1506492)Peak memory usage: 54 MB
% 27.80/22.72 % (1506492)Instructions burned: 5115 (million)
% 27.80/22.72 % (1506500)ott+11_1_sil=16000:gs=on:random_seed=407133245:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 27.80/22.72 % (1506500)Instruction limit reached!
% 27.80/22.72 % (1506500)------------------------------
% 27.80/22.72 % (1506500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506500)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506500)Termination reason: Instruction limit
% 27.80/22.72 % (1506500)Termination phase: Saturation
% 27.80/22.72 % (1506500)Time elapsed: 1.108 s
% 27.80/22.72 % (1506500)Peak memory usage: 32 MB
% 27.80/22.72 % (1506500)Instructions burned: 2252 (million)
% 27.80/22.72 % (1506502)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1237609444:fmbsr=1.6:i=67534_2909 on theBenchmark for (2909ds/67534Mi)
% 27.80/22.72 % TRYING [7]
% 27.80/22.72 % (1506498)Instruction limit reached!
% 27.80/22.72 % (1506498)------------------------------
% 27.80/22.72 % (1506498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506498)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506498)Termination reason: Instruction limit
% 27.80/22.72 % (1506498)Termination phase: Saturation
% 27.80/22.72 % (1506498)Time elapsed: 2.080 s
% 27.80/22.72 % (1506498)Peak memory usage: 37 MB
% 27.80/22.72 % (1506498)Instructions burned: 3773 (million)
% 27.80/22.72 % (1506504)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=4287105729:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2904 on theBenchmark for (2904ds/4591Mi)
% 27.80/22.72 % (1506504)Instruction limit reached!
% 27.80/22.72 % (1506504)------------------------------
% 27.80/22.72 % (1506504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506504)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506504)Termination reason: Instruction limit
% 27.80/22.72 % (1506504)Termination phase: Saturation
% 27.80/22.72 % (1506504)Time elapsed: 2.388 s
% 27.80/22.72 % (1506504)Peak memory usage: 54 MB
% 27.80/22.72 % (1506504)Instructions burned: 4592 (million)
% 27.80/22.72 % (1506506)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2859623591:i=29340_2880 on theBenchmark for (2880ds/29340Mi)
% 27.80/22.72 % (1506506) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1506437-1506506"...
% 27.80/22.72 % (1506506)...printing done.
% 27.80/22.72 % (1506506)Refutation found. Thanks to Tanya!
% 27.80/22.72 % SZS status Theorem for theBenchmark
% 27.80/22.72 % SZS output start Proof for theBenchmark
% See solution above
% 27.80/22.72 % (1506506)------------------------------
% 27.80/22.72 % (1506506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.80/22.72 % (1506506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.80/22.72 % (1506506)CaDiCaL version: 2.1.3
% 27.80/22.72 % (1506506)Termination reason: Refutation
% 27.80/22.72 % (1506506)Time elapsed: 0.306 s
% 27.80/22.72 % (1506506)Peak memory usage: 23 MB
% 27.80/22.72 % (1506506)Instructions burned: 591 (million)
% 27.80/22.72 % (1506437)Success in time 12.294 s
% 27.80/22.72 % Vampire exiting
%------------------------------------------------------------------------------