%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET651+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 26.27s 15.42s
% Output : Refutation 26.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 133 ( 17 unt; 3 def)
% Number of atoms : 461 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 528 ( 200 ~; 246 |; 19 &)
% ( 18 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 267 ( 0 sgn 259 !; 8 ?)
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p24) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/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(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_13) ).
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(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
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(X1,X2))
& subset(domain_of(X3),X1)
& ilf_type(X3,relation_type(X0,X2)) )
& 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(X1,X2))
& subset(domain_of(X3),X1)
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f64,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f34]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f83,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f44]) ).
fof(f85,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f91,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK5(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f92,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f95,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f105,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ~ empty(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f109,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f110,plain,
ilf_type(sK14,relation_type(sK11,sK13)),
inference(cnf_transformation,[],[f62]) ).
fof(f111,plain,
subset(domain_of(sK14),sK12),
inference(cnf_transformation,[],[f62]) ).
fof(f112,plain,
~ ilf_type(sK14,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f62]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f117,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ilf_type(X0,binary_relation_type) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| ilf_type(X3,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f119,plain,
! [X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(consistent_polarity_flipping,[],[f69]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| member(X2,X0)
| ~ member(X2,X1)
| ~ subset(X0,X1) ),
inference(consistent_polarity_flipping,[],[f75]) ).
fof(f135,plain,
! [X0] :
( ilf_type(X0,set_type)
| relation_like(X0)
| ~ ilf_type(X0,binary_relation_type) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f139,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f142,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| member(sK5(X0,X1),X1)
| ~ member(X0,power_set(X1)) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f143,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X0)
| ~ member(X0,power_set(X1)) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f149,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ relation_like(X2) ),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f160,plain,
! [X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| member(X1,X0)
| ~ empty(X0) ),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f162,plain,
! [X0] : ~ ilf_type(X0,set_type),
inference(consistent_polarity_flipping,[],[f109]) ).
fof(f166,plain,
ilf_type(sK14,relation_type(sK12,sK13)),
inference(consistent_polarity_flipping,[],[f112]) ).
fof(f167,plain,
~ ilf_type(sK14,relation_type(sK11,sK13)),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f171,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f135,f162]) ).
fof(f179,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| member(X1,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f160,f162]) ).
fof(f180,plain,
! [X0,X1] :
( ~ empty(X0)
| member(X1,X0) ),
inference(forward_subsumption_resolution,[],[f179,f162]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f157,f162]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relation_like(X2)
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f189,f162]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(forward_subsumption_resolution,[],[f123,f162]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(forward_subsumption_resolution,[],[f195,f162]) ).
fof(f197,plain,
subset(range_of(sK14),sK13),
inference(resolution,[],[f196,f167]) ).
fof(f201,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f139,f162]) ).
fof(f202,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(forward_subsumption_resolution,[],[f201,f162]) ).
fof(f203,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| member(sK5(X0,X1),X1)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f142,f162]) ).
fof(f204,plain,
! [X0,X1] :
( member(sK5(X0,X1),X1)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f203,f162]) ).
fof(f205,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| ~ member(sK5(X0,X1),X0)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f143,f162]) ).
fof(f206,plain,
! [X0,X1] :
( ~ member(sK5(X0,X1),X0)
| ~ member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f205,f162]) ).
fof(f215,plain,
! [X0,X1] :
( ilf_type(X1,set_type)
| empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f149,f162]) ).
fof(f216,plain,
! [X0,X1] :
( empty(X1)
| member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f215,f162]) ).
fof(f217,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1) ),
inference(forward_subsumption_resolution,[],[f216,f180]) ).
fof(f219,plain,
! [X3,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f119,f162]) ).
fof(f220,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f219,f162]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f120,f162]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f221,f162]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ilf_type(X0,member_type(power_set(cross_product(X1,X2))))
| ~ ilf_type(X0,relation_type(X1,X2)) ),
inference(resolution,[],[f222,f202]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[],[f116,f162]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ilf_type(X2,set_type)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[],[f230,f162]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ subset(X1,X2)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[],[f231,f162]) ).
fof(f237,plain,
! [X0,X1] :
( ~ subset(cross_product(domain_of(X0),range_of(X0)),X1)
| subset(X0,X1)
| ilf_type(X0,binary_relation_type) ),
inference(resolution,[],[f232,f117]) ).
fof(f246,plain,
! [X2,X0,X1] :
( ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| member(X2,X0)
| ~ member(X2,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f131,f162]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ilf_type(X2,set_type)
| member(X2,X0)
| ~ member(X2,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f246,f162]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,X0)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f247,f162]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ subset(X2,X1)
| member(sK5(X0,X1),X2) ),
inference(resolution,[],[f248,f204]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ilf_type(X2,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(forward_subsumption_resolution,[],[f118,f162]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ilf_type(X1,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(forward_subsumption_resolution,[],[f280,f162]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ilf_type(X0,set_type)
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(cross_product(X0,X2),cross_product(X1,X3)) ),
inference(forward_subsumption_resolution,[],[f281,f162]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(forward_subsumption_resolution,[],[f282,f162]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| member(X0,power_set(cross_product(X1,X2))) ),
inference(resolution,[],[f225,f217]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ subset(range_of(X0),X2)
| ilf_type(X0,binary_relation_type)
| ~ subset(domain_of(X0),X1)
| subset(X0,cross_product(X1,X2)) ),
inference(resolution,[],[f237,f283]) ).
fof(f508,definition,
( spl15_17
<=> ilf_type(sK14,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).
fof(f510,plain,
( ilf_type(sK14,binary_relation_type)
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f599,plain,
member(sK14,power_set(cross_product(sK12,sK13))),
inference(resolution,[],[f310,f166]) ).
fof(f612,plain,
! [X0] :
( member(sK5(sK14,cross_product(sK12,sK13)),X0)
| ~ subset(X0,cross_product(sK12,sK13)) ),
inference(resolution,[],[f599,f250]) ).
fof(f621,definition,
( spl15_21
<=> relation_like(sK14) ),
introduced(definition,[new_symbols(definition,[spl15_21])],[avatar_definition]) ).
fof(f623,plain,
( relation_like(sK14)
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f879,plain,
! [X0] :
( ilf_type(sK14,binary_relation_type)
| ~ subset(domain_of(sK14),X0)
| subset(sK14,cross_product(X0,sK13)) ),
inference(resolution,[],[f324,f197]) ).
fof(f884,definition,
( spl15_30
<=> ! [X0] :
( ~ subset(domain_of(sK14),X0)
| subset(sK14,cross_product(X0,sK13)) ) ),
introduced(definition,[new_symbols(definition,[spl15_30])],[avatar_definition]) ).
fof(f885,plain,
( ! [X0] :
( ~ subset(domain_of(sK14),X0)
| subset(sK14,cross_product(X0,sK13)) )
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f886,plain,
( spl15_30
| spl15_17 ),
inference(avatar_split_clause,[],[f879,f508,f884]) ).
fof(f922,plain,
( relation_like(sK14)
| ~ spl15_17 ),
inference(resolution,[],[f510,f171]) ).
fof(f923,plain,
( spl15_21
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f922,f508,f621]) ).
fof(f938,plain,
( ! [X0,X1] : ilf_type(sK14,subset_type(cross_product(X0,X1)))
| ~ spl15_21 ),
inference(resolution,[],[f623,f190]) ).
fof(f2248,plain,
( ! [X0,X1] : ilf_type(sK14,relation_type(X0,X1))
| ~ spl15_21 ),
inference(resolution,[],[f938,f220]) ).
fof(f2250,plain,
( $false
| ~ spl15_21 ),
inference(backward_subsumption_resolution,[],[f167,f2248]) ).
fof(f2252,plain,
~ spl15_21,
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2377,plain,
( subset(sK14,cross_product(sK12,sK13))
| ~ spl15_30 ),
inference(resolution,[],[f885,f111]) ).
fof(f79463,plain,
( ~ subset(sK14,cross_product(sK12,sK13))
| ~ member(sK14,power_set(cross_product(sK12,sK13))) ),
inference(resolution,[],[f612,f206]) ).
fof(f79542,plain,
( ~ member(sK14,power_set(cross_product(sK12,sK13)))
| ~ spl15_30 ),
inference(forward_subsumption_resolution,[],[f79463,f2377]) ).
fof(f79543,plain,
( $false
| ~ spl15_30 ),
inference(forward_subsumption_resolution,[],[f79542,f599]) ).
fof(f79544,plain,
~ spl15_30,
inference(avatar_contradiction_clause,[],[f79543]) ).
cnf(s32,plain,
( spl15_17
| spl15_30 ),
inference(sat_conversion,[],[f886]) ).
cnf(s34,plain,
( ~ spl15_17
| spl15_21 ),
inference(sat_conversion,[],[f923]) ).
cnf(s94,plain,
~ spl15_21,
inference(sat_conversion,[],[f2252]) ).
cnf(s5165,plain,
~ spl15_30,
inference(sat_conversion,[],[f79544]) ).
cnf(s5262,plain,
~ spl15_17,
inference(rat,[],[s34,s94]) ).
cnf(s5268,plain,
$false,
inference(rat,[],[s32,s5165,s5262]) ).
fof(f79545,plain,
$false,
inference(avatar_sat_refutation,[],[s5268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET651+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/10.38 % Computer : n004.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Mon Sep 28 02:28:20 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.12/10.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/10.42 Running first-order model finding
% 0.15/10.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.19/12.93 % (4092490)Will run a generic schedule for satisfiability detection.
% 17.19/12.93 % (4092501)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4221176290:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 17.19/12.93 % (4092496)% WARNING: option uhcvi not known.
% 17.19/12.93 % (4092495)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3693118444_2999 on theBenchmark for (2999ds/0Mi)
% 17.19/12.93 % (4092496)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4072424106:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 17.19/12.93 % (4092497)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=820750951:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 17.19/12.93 % (4092498)dis+10_1_sil=32000:sp=arity:random_seed=4257624157:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 17.19/12.93 % (4092499)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1708434426:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 17.19/12.93 % (4092500)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2852356271:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 17.19/12.93 % TRYING [1]
% 17.19/12.93 % TRYING [2]
% 17.19/12.93 % TRYING [3]
% 17.19/12.93 % (4092501)Instruction limit reached!
% 17.19/12.93 % (4092501)------------------------------
% 17.19/12.93 % (4092501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/12.93 % (4092501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/12.93 % (4092501)CaDiCaL version: 2.1.3
% 17.19/12.93 % (4092501)Termination reason: Instruction limit
% 17.19/12.93 % (4092501)Termination phase: Saturation
% 17.19/12.93 % (4092501)Time elapsed: 0.064 s
% 17.19/12.93 % (4092501)Peak memory usage: 14 MB
% 17.19/12.93 % (4092501)Instructions burned: 161 (million)
% 17.19/12.93 % (4092498)Instruction limit reached!
% 17.19/12.93 % (4092498)------------------------------
% 17.19/12.93 % (4092498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/12.93 % (4092498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/12.93 % (4092498)CaDiCaL version: 2.1.3
% 17.19/12.93 % (4092498)Termination reason: Instruction limit
% 17.19/12.93 % (4092498)Termination phase: Saturation
% 17.19/12.93 % (4092498)Time elapsed: 0.064 s
% 17.19/12.93 % (4092498)Peak memory usage: 13 MB
% 17.19/12.93 % (4092498)Instructions burned: 103 (million)
% 17.19/12.93 % (4092499)Instruction limit reached!
% 17.19/12.93 % (4092499)------------------------------
% 17.19/12.93 % (4092499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/12.93 % (4092499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/12.93 % (4092499)CaDiCaL version: 2.1.3
% 17.19/12.93 % (4092499)Termination reason: Instruction limit
% 17.19/12.93 % (4092499)Termination phase: Saturation
% 17.19/12.93 % (4092499)Time elapsed: 0.068 s
% 17.19/12.93 % (4092499)Peak memory usage: 12 MB
% 17.19/12.93 % (4092499)Instructions burned: 116 (million)
% 17.19/12.93 % (4092509)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3226832663:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 17.19/12.93 % TRYING [1]
% 17.19/12.93 % TRYING [2]
% 17.19/12.93 % (4092510)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3039852595:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 17.19/12.93 % (4092500)Instruction limit reached!
% 17.19/12.93 % (4092500)------------------------------
% 17.19/12.93 % (4092500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/12.93 % (4092500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.19/12.93 % (4092500)CaDiCaL version: 2.1.3
% 17.19/12.93 % (4092500)Termination reason: Instruction limit
% 17.19/12.93 % (4092500)Termination phase: Saturation
% 17.19/12.93 % (4092500)Time elapsed: 0.086 s
% 17.19/12.93 % (4092500)Peak memory usage: 13 MB
% 17.19/12.93 % (4092500)Instructions burned: 131 (million)
% 17.19/12.93 % TRYING [3]
% 17.19/12.93 % (4092511)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=3986166264:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 17.19/12.93 % (4092515)ott-21_1_sil=16000:fs=off:random_seed=2388918246:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 17.19/12.93 % TRYING [4]
% 17.19/12.93 % (4092515)Instruction limit reached!
% 17.19/12.93 % (4092515)------------------------------
% 17.19/12.93 % (4092515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.19/12.93 % (4092515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092515)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092515)Termination reason: Instruction limit
% 26.27/15.42 % (4092515)Termination phase: Saturation
% 26.27/15.42 % (4092515)Time elapsed: 0.050 s
% 26.27/15.42 % (4092515)Peak memory usage: 13 MB
% 26.27/15.42 % (4092515)Instructions burned: 183 (million)
% 26.27/15.42 % (4092518)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4202280302:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 26.27/15.42 % (4092510)Instruction limit reached!
% 26.27/15.42 % (4092510)------------------------------
% 26.27/15.42 % (4092510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092510)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092510)Termination reason: Instruction limit
% 26.27/15.42 % (4092510)Termination phase: Saturation
% 26.27/15.42 % (4092510)Time elapsed: 0.086 s
% 26.27/15.42 % (4092510)Peak memory usage: 14 MB
% 26.27/15.42 % (4092510)Instructions burned: 132 (million)
% 26.27/15.42 % (4092520)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1682141258:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 26.27/15.42 % TRYING [1]
% 26.27/15.42 % TRYING [2]
% 26.27/15.42 % TRYING [3]
% 26.27/15.42 % TRYING [4]
% 26.27/15.42 % TRYING [4]
% 26.27/15.42 % (4092518)Instruction limit reached!
% 26.27/15.42 % (4092518)------------------------------
% 26.27/15.42 % (4092518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092518)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092518)Termination reason: Instruction limit
% 26.27/15.42 % (4092518)Termination phase: Saturation
% 26.27/15.42 % (4092518)Time elapsed: 0.150 s
% 26.27/15.42 % (4092518)Peak memory usage: 14 MB
% 26.27/15.42 % (4092518)Instructions burned: 479 (million)
% 26.27/15.42 % (4092522)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=175943919:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 26.27/15.42 % (4092511)Instruction limit reached!
% 26.27/15.42 % (4092511)------------------------------
% 26.27/15.42 % (4092511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092511)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092511)Termination reason: Instruction limit
% 26.27/15.42 % (4092511)Termination phase: Saturation
% 26.27/15.42 % (4092511)Time elapsed: 0.358 s
% 26.27/15.42 % (4092511)Peak memory usage: 25 MB
% 26.27/15.42 % (4092511)Instructions burned: 686 (million)
% 26.27/15.42 % (4092524)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1490296944:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 26.27/15.42 % TRYING [14]
% 26.27/15.42 % (4092509)Instruction limit reached!
% 26.27/15.42 % (4092509)------------------------------
% 26.27/15.42 % (4092509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092509)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092509)Termination reason: Instruction limit
% 26.27/15.42 % (4092509)Termination phase: Finite model building SAT solving
% 26.27/15.42 % (4092509)Time elapsed: 0.423 s
% 26.27/15.42 % (4092509)Peak memory usage: 14 MB
% 26.27/15.42 % (4092509)Instructions burned: 715 (million)
% 26.27/15.42 % (4092526)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=1419387525: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)
% 26.27/15.42 % (4092522)Instruction limit reached!
% 26.27/15.42 % (4092522)------------------------------
% 26.27/15.42 % (4092522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092522)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092522)Termination reason: Instruction limit
% 26.27/15.42 % (4092522)Termination phase: Saturation
% 26.27/15.42 % (4092522)Time elapsed: 0.385 s
% 26.27/15.42 % (4092522)Peak memory usage: 23 MB
% 26.27/15.42 % (4092522)Instructions burned: 1179 (million)
% 26.27/15.42 % (4092529)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=654644742:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 26.27/15.42 % (4092520)Instruction limit reached!
% 26.27/15.42 % (4092520)------------------------------
% 26.27/15.42 % (4092520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092520)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092520)Termination reason: Instruction limit
% 26.27/15.42 % (4092520)Termination phase: Finite model building SAT solving
% 26.27/15.42 % (4092520)Time elapsed: 0.532 s
% 26.27/15.42 % (4092520)Peak memory usage: 13 MB
% 26.27/15.42 % (4092520)Instructions burned: 865 (million)
% 26.27/15.42 % (4092531)fmb+10_1_sil=64000:random_seed=3124298178:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 26.27/15.42 % TRYING [1]
% 26.27/15.42 % TRYING [2]
% 26.27/15.42 % TRYING [3]
% 26.27/15.42 % TRYING [4]
% 26.27/15.42 % (4092524)Instruction limit reached!
% 26.27/15.42 % (4092524)------------------------------
% 26.27/15.42 % (4092524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092524)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092524)Termination reason: Instruction limit
% 26.27/15.42 % (4092524)Termination phase: Finite model building constraint generation
% 26.27/15.42 % (4092524)Time elapsed: 0.339 s
% 26.27/15.42 % (4092524)Peak memory usage: 63 MB
% 26.27/15.42 % (4092524)Instructions burned: 891 (million)
% 26.27/15.42 % (4092533)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2434427995:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 26.27/15.42 % TRYING [20]
% 26.27/15.42 % (4092526)Instruction limit reached!
% 26.27/15.42 % (4092526)------------------------------
% 26.27/15.42 % (4092526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092526)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092526)Termination reason: Instruction limit
% 26.27/15.42 % (4092526)Termination phase: Saturation
% 26.27/15.42 % (4092526)Time elapsed: 0.405 s
% 26.27/15.42 % (4092526)Peak memory usage: 18 MB
% 26.27/15.42 % (4092526)Instructions burned: 693 (million)
% 26.27/15.42 % (4092535)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3826628717:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 26.27/15.42 % TRYING [8]
% 26.27/15.42 % (4092529)Instruction limit reached!
% 26.27/15.42 % (4092529)------------------------------
% 26.27/15.42 % (4092529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092529)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092529)Termination reason: Instruction limit
% 26.27/15.42 % (4092529)Termination phase: Saturation
% 26.27/15.42 % (4092529)Time elapsed: 0.261 s
% 26.27/15.42 % (4092529)Peak memory usage: 17 MB
% 26.27/15.42 % (4092529)Instructions burned: 883 (million)
% 26.27/15.42 % (4092537)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2180395354:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 26.27/15.42 % (4092535)Instruction limit reached!
% 26.27/15.42 % (4092535)------------------------------
% 26.27/15.42 % (4092535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092535)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092535)Termination reason: Instruction limit
% 26.27/15.42 % (4092535)Termination phase: Finite model building SAT solving
% 26.27/15.42 % (4092535)Time elapsed: 0.446 s
% 26.27/15.42 % (4092535)Peak memory usage: 36 MB
% 26.27/15.42 % (4092535)Instructions burned: 921 (million)
% 26.27/15.42 % (4092620)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4224058884:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 26.27/15.42 % TRYING [5]
% 26.27/15.42 % (4092620)Instruction limit reached!
% 26.27/15.42 % (4092620)------------------------------
% 26.27/15.42 % (4092620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092620)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092620)Termination reason: Instruction limit
% 26.27/15.42 % (4092620)Termination phase: Saturation
% 26.27/15.42 % (4092620)Time elapsed: 0.729 s
% 26.27/15.42 % (4092620)Peak memory usage: 26 MB
% 26.27/15.42 % (4092620)Instructions burned: 1473 (million)
% 26.27/15.42 % (4092678)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2045130434:i=6324_2978 on theBenchmark for (2978ds/6324Mi)
% 26.27/15.42 % TRYING [77]
% 26.27/15.42 % (4092537)Instruction limit reached!
% 26.27/15.42 % (4092537)------------------------------
% 26.27/15.42 % (4092537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092537)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092537)Termination reason: Instruction limit
% 26.27/15.42 % (4092537)Termination phase: Saturation
% 26.27/15.42 % (4092537)Time elapsed: 1.472 s
% 26.27/15.42 % (4092537)Peak memory usage: 26 MB
% 26.27/15.42 % (4092537)Instructions burned: 5133 (million)
% 26.27/15.42 % (4092768)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1877640022:fmbsr=2.30978:i=2174_2974 on theBenchmark for (2974ds/2174Mi)
% 26.27/15.42 % TRYING [16]
% 26.27/15.42 % (4092768)Instruction limit reached!
% 26.27/15.42 % (4092768)------------------------------
% 26.27/15.42 % (4092768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092768)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092768)Termination reason: Instruction limit
% 26.27/15.42 % (4092768)Termination phase: Finite model building constraint generation
% 26.27/15.42 % (4092768)Time elapsed: 0.465 s
% 26.27/15.42 % (4092768)Peak memory usage: 176 MB
% 26.27/15.42 % (4092768)Instructions burned: 2175 (million)
% 26.27/15.42 % (4092811)ott-2_1_sil=16000:newcnf=on:random_seed=1800166145:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 26.27/15.42 % TRYING [5]
% 26.27/15.42 % (4092811)Instruction limit reached!
% 26.27/15.42 % (4092811)------------------------------
% 26.27/15.42 % (4092811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092811)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092811)Termination reason: Instruction limit
% 26.27/15.42 % (4092811)Termination phase: Saturation
% 26.27/15.42 % (4092811)Time elapsed: 0.264 s
% 26.27/15.42 % (4092811)Peak memory usage: 18 MB
% 26.27/15.42 % (4092811)Instructions burned: 872 (million)
% 26.27/15.42 % (4092846)ott+10_1_sil=32000:tgt=ground:random_seed=2460884797:i=5114:av=off_2967 on theBenchmark for (2967ds/5114Mi)
% 26.27/15.42 % (4092678)Instruction limit reached!
% 26.27/15.42 % (4092678)------------------------------
% 26.27/15.42 % (4092678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092678)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092678)Termination reason: Instruction limit
% 26.27/15.42 % (4092678)Termination phase: Finite model building constraint generation
% 26.27/15.42 % (4092678)Time elapsed: 2.229 s
% 26.27/15.42 % (4092678)Peak memory usage: 408 MB
% 26.27/15.42 % (4092678)Instructions burned: 6325 (million)
% 26.27/15.42 % (4092954)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3128272533:i=54282_2955 on theBenchmark for (2955ds/54282Mi)
% 26.27/15.42 % TRYING [1]
% 26.27/15.42 % TRYING [2]
% 26.27/15.42 % TRYING [3]
% 26.27/15.42 % TRYING [4]
% 26.27/15.42 % (4092846)Instruction limit reached!
% 26.27/15.42 % (4092846)------------------------------
% 26.27/15.42 % (4092846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092846)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092846)Termination reason: Instruction limit
% 26.27/15.42 % (4092846)Termination phase: Saturation
% 26.27/15.42 % (4092846)Time elapsed: 1.645 s
% 26.27/15.42 % (4092846)Peak memory usage: 54 MB
% 26.27/15.42 % (4092846)Instructions burned: 5115 (million)
% 26.27/15.42 % (4092496) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4092490-4092496"...
% 26.27/15.42 % (4092496)...printing done.
% 26.27/15.42 % (4092956)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3413679654:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 26.27/15.42 % (4092496)Refutation found. Thanks to Tanya!
% 26.27/15.42 % SZS status Theorem for theBenchmark
% 26.27/15.42 % SZS output start Proof for theBenchmark
% See solution above
% 26.27/15.42 % (4092496)------------------------------
% 26.27/15.42 % (4092496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.27/15.42 % (4092496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.27/15.42 % (4092496)CaDiCaL version: 2.1.3
% 26.27/15.42 % (4092496)Termination reason: Refutation
% 26.27/15.42 % (4092496)Time elapsed: 4.897 s
% 26.27/15.42 % (4092496)Peak memory usage: 43 MB
% 26.27/15.42 % (4092496)Instructions burned: 8497 (million)
% 26.27/15.42 % (4092490)Success in time 4.994 s
% 26.27/15.42 % Vampire exiting
%------------------------------------------------------------------------------