%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET649+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:44:19 PM UTC 2026
% Result : Theorem 67.19s 9.97s
% Output : Refutation 67.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 87 ( 15 unt; 0 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 505 ( 209 ~; 199 |; 48 &)
% ( 13 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 5 con; 0-2 aty)
% Number of variables : 197 ( 185 !; 12 ?)
% 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(f12,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',p12) ).
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(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
fof(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,binary_relation_type)
=> ( ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) )
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_11) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( ( subset(domain_of(X2),X0)
& subset(range_of(X2),X1) )
=> ilf_type(X2,relation_type(X0,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(f41,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,[],[f12]) ).
fof(f42,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,[],[f41]) ).
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(f51,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f52,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,[],[f51]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f55,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,[],[f54]) ).
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] :
( ~ ilf_type(X2,relation_type(X0,X1))
& subset(domain_of(X2),X0)
& subset(range_of(X2),X1)
& ilf_type(X2,binary_relation_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
& subset(domain_of(X2),X0)
& subset(range_of(X2),X1)
& ilf_type(X2,binary_relation_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f61]) ).
fof(f73,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,[],[f42]) ).
fof(f74,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,[],[f73]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK4(X0,X1),X1)
& member(sK4(X0,X1),X0)
& ilf_type(sK4(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,[sK4]),skolemize(X2,sK4(X0,X1))],[f74]) ).
fof(f76,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(f81,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,[],[f52]) ).
fof(f82,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,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0)
& ilf_type(sK9(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,[sK9]),skolemize(X2,sK9(X0,X1))],[f82]) ).
fof(f84,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,[],[f55]) ).
fof(f86,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(f87,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,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK11(X0),X0)
& ilf_type(sK11(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,[sK11]),skolemize(X1,sK11(X0))],[f87]) ).
fof(f89,plain,
( ~ ilf_type(sK14,relation_type(sK12,sK13))
& subset(domain_of(sK14),sK12)
& subset(range_of(sK14),sK13)
& ilf_type(sK14,binary_relation_type)
& ilf_type(sK13,set_type)
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14)],[f62]) ).
fof(f90,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(f91,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f92,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(f94,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(f108,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,[],[f75]) ).
fof(f115,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,[],[f76]) ).
fof(f127,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f128,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f83]) ).
fof(f132,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,[],[f84]) ).
fof(f134,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
fof(f138,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f141,plain,
ilf_type(sK14,binary_relation_type),
inference(cnf_transformation,[],[f89]) ).
fof(f142,plain,
subset(range_of(sK14),sK13),
inference(cnf_transformation,[],[f89]) ).
fof(f143,plain,
subset(domain_of(sK14),sK12),
inference(cnf_transformation,[],[f89]) ).
fof(f144,plain,
~ ilf_type(sK14,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f89]) ).
fof(f167,plain,
subset(sK14,cross_product(domain_of(sK14),range_of(sK14))),
inference(unit_resulting_resolution,[],[f91,f141]) ).
fof(f174,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f134,f138]) ).
fof(f175,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f174,f138]) ).
fof(f200,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,[],[f115,f138]) ).
fof(f201,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f200,f138]) ).
fof(f216,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f127,f138]) ).
fof(f217,plain,
! [X0,X1] :
( member(sK9(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f216,f138]) ).
fof(f224,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f128,f138]) ).
fof(f225,plain,
! [X0,X1] :
( ~ member(sK9(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f224,f138]) ).
fof(f252,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,[],[f132,f175]) ).
fof(f253,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f252,f138]) ).
fof(f254,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f253,f138]) ).
fof(f375,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,[],[f94,f138]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f375,f138]) ).
fof(f377,plain,
~ ilf_type(sK14,subset_type(cross_product(sK12,sK13))),
inference(unit_resulting_resolution,[],[f376,f144]) ).
fof(f391,plain,
~ ilf_type(sK14,member_type(power_set(cross_product(sK12,sK13)))),
inference(unit_resulting_resolution,[],[f201,f377]) ).
fof(f396,plain,
~ member(sK14,power_set(cross_product(sK12,sK13))),
inference(unit_resulting_resolution,[],[f254,f391]) ).
fof(f400,plain,
member(sK9(sK14,cross_product(sK12,sK13)),sK14),
inference(unit_resulting_resolution,[],[f217,f396]) ).
fof(f404,plain,
~ member(sK9(sK14,cross_product(sK12,sK13)),cross_product(sK12,sK13)),
inference(unit_resulting_resolution,[],[f225,f396]) ).
fof(f1323,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,[],[f90,f138]) ).
fof(f1324,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f1323,f138]) ).
fof(f1325,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[],[f1324,f138]) ).
fof(f2703,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,[],[f108,f138]) ).
fof(f2704,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f2703,f138]) ).
fof(f2705,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f2704,f138]) ).
fof(f3212,plain,
~ subset(sK14,cross_product(sK12,sK13)),
inference(unit_resulting_resolution,[],[f2705,f404,f400]) ).
fof(f3372,plain,
~ subset(cross_product(domain_of(sK14),range_of(sK14)),cross_product(sK12,sK13)),
inference(unit_resulting_resolution,[],[f1325,f167,f3212]) ).
fof(f5924,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,[],[f92,f138]) ).
fof(f5925,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,[],[f5924,f138]) ).
fof(f5926,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,[],[f5925,f138]) ).
fof(f5927,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(forward_subsumption_resolution,[],[f5926,f138]) ).
fof(f6377,plain,
$false,
inference(unit_resulting_resolution,[],[f5927,f142,f143,f3372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET649+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:28:06 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 16.89/2.86 % (2961297)Will run a generic schedule for satisfiability detection.
% 16.89/2.86 % (2961307)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3690838118:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.89/2.86 % (2961303)% WARNING: option uhcvi not known.
% 16.89/2.86 % (2961302)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=333407112_2999 on theBenchmark for (2999ds/0Mi)
% 16.89/2.86 % (2961304)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=750224261:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.89/2.86 % (2961305)dis+10_1_sil=32000:sp=arity:random_seed=245461741:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.89/2.86 % (2961306)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2855713808:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.89/2.86 % (2961308)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3044168344:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.89/2.86 % (2961303)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3172334521:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.89/2.86 % TRYING [1]
% 16.89/2.86 % TRYING [2]
% 16.89/2.86 % TRYING [3]
% 16.89/2.86 % (2961307)Instruction limit reached!
% 16.89/2.86 % (2961307)------------------------------
% 16.89/2.86 % (2961307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.86 % (2961307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.86 % (2961307)CaDiCaL version: 2.1.3
% 16.89/2.86 % (2961307)Termination reason: Instruction limit
% 16.89/2.86 % (2961307)Termination phase: Saturation
% 16.89/2.86 % (2961307)Time elapsed: 0.048 s
% 16.89/2.86 % (2961307)Peak memory usage: 13 MB
% 16.89/2.86 % (2961307)Instructions burned: 132 (million)
% 16.89/2.86 % (2961316)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=376797748:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.89/2.86 % TRYING [1]
% 16.89/2.86 % TRYING [2]
% 16.89/2.86 % TRYING [3]
% 16.89/2.86 % (2961308)Instruction limit reached!
% 16.89/2.86 % (2961308)------------------------------
% 16.89/2.86 % (2961308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.86 % (2961308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.86 % (2961308)CaDiCaL version: 2.1.3
% 16.89/2.86 % (2961308)Termination reason: Instruction limit
% 16.89/2.86 % (2961308)Termination phase: Saturation
% 16.89/2.86 % (2961308)Time elapsed: 0.061 s
% 16.89/2.86 % (2961308)Peak memory usage: 11 MB
% 16.89/2.86 % (2961308)Instructions burned: 161 (million)
% 16.89/2.86 % (2961305)Instruction limit reached!
% 16.89/2.86 % (2961305)------------------------------
% 16.89/2.86 % (2961305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.86 % (2961305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.86 % (2961305)CaDiCaL version: 2.1.3
% 16.89/2.86 % (2961305)Termination reason: Instruction limit
% 16.89/2.86 % (2961305)Termination phase: Saturation
% 16.89/2.86 % (2961305)Time elapsed: 0.066 s
% 16.89/2.86 % (2961305)Peak memory usage: 12 MB
% 16.89/2.86 % (2961305)Instructions burned: 103 (million)
% 16.89/2.86 % (2961306)Instruction limit reached!
% 16.89/2.86 % (2961306)------------------------------
% 16.89/2.86 % (2961306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.86 % (2961306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.86 % (2961306)CaDiCaL version: 2.1.3
% 16.89/2.86 % (2961306)Termination reason: Instruction limit
% 16.89/2.86 % (2961306)Termination phase: Saturation
% 16.89/2.86 % (2961306)Time elapsed: 0.070 s
% 16.89/2.86 % (2961306)Peak memory usage: 12 MB
% 16.89/2.86 % (2961306)Instructions burned: 116 (million)
% 16.89/2.86 % (2961318)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3105898847:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.89/2.86 % TRYING [4]
% 16.89/2.86 % (2961319)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=214058119:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 16.89/2.86 % (2961320)ott-21_1_sil=16000:fs=off:random_seed=784762541:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 16.89/2.86 % TRYING [4]
% 16.89/2.86 % (2961318)Instruction limit reached!
% 16.89/2.86 % (2961318)------------------------------
% 16.89/2.86 % (2961318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.86 % (2961318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.75/6.31 % (2961318)CaDiCaL version: 2.1.3
% 41.75/6.31 % (2961318)Termination reason: Instruction limit
% 41.75/6.31 % (2961318)Termination phase: Saturation
% 41.75/6.31 % (2961318)Time elapsed: 0.088 s
% 41.75/6.31 % (2961318)Peak memory usage: 14 MB
% 41.75/6.31 % (2961318)Instructions burned: 132 (million)
% 41.75/6.31 % (2961320)Instruction limit reached!
% 41.75/6.31 % (2961320)------------------------------
% 41.75/6.31 % (2961320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.75/6.31 % (2961320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.75/6.31 % (2961320)CaDiCaL version: 2.1.3
% 41.75/6.31 % (2961320)Termination reason: Instruction limit
% 41.75/6.31 % (2961320)Termination phase: Saturation
% 41.75/6.31 % (2961320)Time elapsed: 0.093 s
% 41.75/6.31 % (2961320)Peak memory usage: 13 MB
% 41.75/6.31 % (2961320)Instructions burned: 180 (million)
% 41.75/6.31 % (2961324)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1570296023:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 41.75/6.31 % (2961325)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1414639441:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 41.75/6.31 % TRYING [1]
% 41.75/6.31 % TRYING [2]
% 41.75/6.31 % TRYING [3]
% 41.75/6.31 % TRYING [4]
% 41.75/6.31 % (2961316)Instruction limit reached!
% 41.75/6.31 % (2961316)------------------------------
% 41.75/6.31 % (2961316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.75/6.31 % (2961316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.75/6.31 % (2961316)CaDiCaL version: 2.1.3
% 41.75/6.31 % (2961316)Termination reason: Instruction limit
% 41.75/6.31 % (2961316)Termination phase: Finite model building SAT solving
% 41.75/6.31 % (2961316)Time elapsed: 0.218 s
% 41.75/6.31 % (2961316)Peak memory usage: 15 MB
% 41.75/6.31 % (2961316)Instructions burned: 719 (million)
% 41.75/6.31 % (2961328)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1457996358:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 41.75/6.31 % (2961319)Instruction limit reached!
% 41.75/6.31 % (2961319)------------------------------
% 41.75/6.31 % (2961319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.75/6.31 % (2961319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.75/6.31 % (2961319)CaDiCaL version: 2.1.3
% 41.75/6.31 % (2961319)Termination reason: Instruction limit
% 41.75/6.31 % (2961319)Termination phase: Saturation
% 41.75/6.31 % (2961319)Time elapsed: 0.358 s
% 41.75/6.31 % (2961319)Peak memory usage: 22 MB
% 41.75/6.31 % (2961319)Instructions burned: 684 (million)
% 41.75/6.31 % (2961330)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3592970816:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 41.75/6.31 % (2961324)Instruction limit reached!
% 41.75/6.31 % (2961324)------------------------------
% 41.75/6.31 % (2961324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.75/6.31 % (2961324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.75/6.31 % (2961324)CaDiCaL version: 2.1.3
% 41.75/6.31 % (2961324)Termination reason: Instruction limit
% 41.75/6.31 % (2961324)Termination phase: Saturation
% 41.75/6.31 % (2961324)Time elapsed: 0.295 s
% 41.75/6.31 % (2961324)Peak memory usage: 15 MB
% 41.75/6.31 % (2961324)Instructions burned: 478 (million)
% 41.75/6.31 % TRYING [14]
% 41.75/6.31 % (2961332)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=1874649875: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)
% 41.75/6.31 % (2961328)Instruction limit reached!
% 41.75/6.31 % (2961328)------------------------------
% 41.75/6.31 % (2961328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.75/6.31 % (2961328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.75/6.31 % (2961328)CaDiCaL version: 2.1.3
% 41.75/6.31 % (2961328)Termination reason: Instruction limit
% 41.75/6.31 % (2961328)Termination phase: Saturation
% 41.75/6.31 % (2961328)Time elapsed: 0.390 s
% 41.75/6.31 % (2961328)Peak memory usage: 23 MB
% 41.75/6.31 % (2961328)Instructions burned: 1182 (million)
% 41.75/6.31 % (2961334)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2899831209:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 41.75/6.31 % (2961325)Instruction limit reached!
% 41.75/6.31 % (2961325)------------------------------
% 41.75/6.31 % (2961325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961325)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961325)Termination reason: Instruction limit
% 67.19/9.97 % (2961325)Termination phase: Finite model building SAT solving
% 67.19/9.97 % (2961325)Time elapsed: 0.528 s
% 67.19/9.97 % (2961325)Peak memory usage: 13 MB
% 67.19/9.97 % (2961325)Instructions burned: 865 (million)
% 67.19/9.97 % (2961336)fmb+10_1_sil=64000:random_seed=1976921127:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 67.19/9.97 % TRYING [1]
% 67.19/9.97 % TRYING [2]
% 67.19/9.97 % TRYING [3]
% 67.19/9.97 % TRYING [4]
% 67.19/9.97 % (2961330)Instruction limit reached!
% 67.19/9.97 % (2961330)------------------------------
% 67.19/9.97 % (2961330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961330)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961330)Termination reason: Instruction limit
% 67.19/9.97 % (2961330)Termination phase: Finite model building constraint generation
% 67.19/9.97 % (2961330)Time elapsed: 0.338 s
% 67.19/9.97 % (2961330)Peak memory usage: 66 MB
% 67.19/9.97 % (2961330)Instructions burned: 889 (million)
% 67.19/9.97 % (2961338)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1475212325:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 67.19/9.97 % TRYING [20]
% 67.19/9.97 % (2961332)Instruction limit reached!
% 67.19/9.97 % (2961332)------------------------------
% 67.19/9.97 % (2961332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961332)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961332)Termination reason: Instruction limit
% 67.19/9.97 % (2961332)Termination phase: Saturation
% 67.19/9.97 % (2961332)Time elapsed: 0.411 s
% 67.19/9.97 % (2961332)Peak memory usage: 22 MB
% 67.19/9.97 % (2961332)Instructions burned: 693 (million)
% 67.19/9.97 % (2961334)Instruction limit reached!
% 67.19/9.97 % (2961334)------------------------------
% 67.19/9.97 % (2961334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961334)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961334)Termination reason: Instruction limit
% 67.19/9.97 % (2961334)Termination phase: Saturation
% 67.19/9.97 % (2961334)Time elapsed: 0.253 s
% 67.19/9.97 % (2961334)Peak memory usage: 17 MB
% 67.19/9.97 % (2961334)Instructions burned: 879 (million)
% 67.19/9.97 % (2961340)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1435569490:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 67.19/9.97 % TRYING [8]
% 67.19/9.97 % (2961341)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=618350502:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 67.19/9.97 % TRYING [5]
% 67.19/9.97 % (2961340)Instruction limit reached!
% 67.19/9.97 % (2961340)------------------------------
% 67.19/9.97 % (2961340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961340)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961340)Termination reason: Instruction limit
% 67.19/9.97 % (2961340)Termination phase: Finite model building SAT solving
% 67.19/9.97 % (2961340)Time elapsed: 0.472 s
% 67.19/9.97 % (2961340)Peak memory usage: 38 MB
% 67.19/9.97 % (2961340)Instructions burned: 920 (million)
% 67.19/9.97 % (2961344)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2501838980:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 67.19/9.97 % TRYING [5]
% 67.19/9.97 % (2961344)Instruction limit reached!
% 67.19/9.97 % (2961344)------------------------------
% 67.19/9.97 % (2961344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961344)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961344)Termination reason: Instruction limit
% 67.19/9.97 % (2961344)Termination phase: Saturation
% 67.19/9.97 % (2961344)Time elapsed: 0.864 s
% 67.19/9.97 % (2961344)Peak memory usage: 33 MB
% 67.19/9.97 % (2961344)Instructions burned: 1473 (million)
% 67.19/9.97 % (2961346)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1095836923:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 67.19/9.97 % TRYING [77]
% 67.19/9.97 % (2961341)Instruction limit reached!
% 67.19/9.97 % (2961341)------------------------------
% 67.19/9.97 % (2961341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961341)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961341)Termination reason: Instruction limit
% 67.19/9.97 % (2961341)Termination phase: Saturation
% 67.19/9.97 % (2961341)Time elapsed: 1.470 s
% 67.19/9.97 % (2961341)Peak memory usage: 27 MB
% 67.19/9.97 % (2961341)Instructions burned: 5134 (million)
% 67.19/9.97 % (2961348)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2956385918:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 67.19/9.97 % TRYING [16]
% 67.19/9.97 % (2961348)Instruction limit reached!
% 67.19/9.97 % (2961348)------------------------------
% 67.19/9.97 % (2961348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961348)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961348)Termination reason: Instruction limit
% 67.19/9.97 % (2961348)Termination phase: Finite model building constraint generation
% 67.19/9.97 % (2961348)Time elapsed: 0.453 s
% 67.19/9.97 % (2961348)Peak memory usage: 184 MB
% 67.19/9.97 % (2961348)Instructions burned: 2176 (million)
% 67.19/9.97 % (2961350)ott-2_1_sil=16000:newcnf=on:random_seed=703850784:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2970 on theBenchmark for (2970ds/869Mi)
% 67.19/9.97 % (2961350)Instruction limit reached!
% 67.19/9.97 % (2961350)------------------------------
% 67.19/9.97 % (2961350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961350)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961350)Termination reason: Instruction limit
% 67.19/9.97 % (2961350)Termination phase: Saturation
% 67.19/9.97 % (2961350)Time elapsed: 0.281 s
% 67.19/9.97 % (2961350)Peak memory usage: 17 MB
% 67.19/9.97 % (2961350)Instructions burned: 872 (million)
% 67.19/9.97 % (2961352)ott+10_1_sil=32000:tgt=ground:random_seed=3656300697:i=5114:av=off_2967 on theBenchmark for (2967ds/5114Mi)
% 67.19/9.97 % (2961346)Instruction limit reached!
% 67.19/9.97 % (2961346)------------------------------
% 67.19/9.97 % (2961346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961346)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961346)Termination reason: Instruction limit
% 67.19/9.97 % (2961346)Termination phase: Finite model building constraint generation
% 67.19/9.97 % (2961346)Time elapsed: 2.176 s
% 67.19/9.97 % (2961346)Peak memory usage: 405 MB
% 67.19/9.97 % (2961346)Instructions burned: 6327 (million)
% 67.19/9.97 % (2961354)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=554233114:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 67.19/9.97 % TRYING [1]
% 67.19/9.97 % TRYING [2]
% 67.19/9.97 % TRYING [3]
% 67.19/9.97 % TRYING [4]
% 67.19/9.97 % (2961352)Instruction limit reached!
% 67.19/9.97 % (2961352)------------------------------
% 67.19/9.97 % (2961352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961352)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961352)Termination reason: Instruction limit
% 67.19/9.97 % (2961352)Termination phase: Saturation
% 67.19/9.97 % (2961352)Time elapsed: 1.637 s
% 67.19/9.97 % (2961352)Peak memory usage: 55 MB
% 67.19/9.97 % (2961352)Instructions burned: 5115 (million)
% 67.19/9.97 % (2961356)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3036619976:i=3512:aac=none_2951 on theBenchmark for (2951ds/3512Mi)
% 67.19/9.97 % TRYING [6]
% 67.19/9.97 % (2961338)Instruction limit reached!
% 67.19/9.97 % (2961338)------------------------------
% 67.19/9.97 % (2961338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961338)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961338)Termination reason: Instruction limit
% 67.19/9.97 % (2961338)Termination phase: Finite model building SAT solving
% 67.19/9.97 % (2961338)Time elapsed: 4.574 s
% 67.19/9.97 % (2961338)Peak memory usage: 537 MB
% 67.19/9.97 % (2961338)Instructions burned: 9515 (million)
% 67.19/9.97 % (2961358)dis+21_1_sil=32000:sas=cadical:random_seed=3765866786:i=3773:amm=off_2944 on theBenchmark for (2944ds/3773Mi)
% 67.19/9.97 % TRYING [5]
% 67.19/9.97 % (2961356)Instruction limit reached!
% 67.19/9.97 % (2961356)------------------------------
% 67.19/9.97 % (2961356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961356)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961356)Termination reason: Instruction limit
% 67.19/9.97 % (2961356)Termination phase: Saturation
% 67.19/9.97 % (2961356)Time elapsed: 1.017 s
% 67.19/9.97 % (2961356)Peak memory usage: 31 MB
% 67.19/9.97 % (2961356)Instructions burned: 3512 (million)
% 67.19/9.97 % (2961360)ott+11_1_sil=16000:gs=on:random_seed=2254132423:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2940 on theBenchmark for (2940ds/2251Mi)
% 67.19/9.97 % (2961360)Instruction limit reached!
% 67.19/9.97 % (2961360)------------------------------
% 67.19/9.97 % (2961360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961360)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961360)Termination reason: Instruction limit
% 67.19/9.97 % (2961360)Termination phase: Saturation
% 67.19/9.97 % (2961360)Time elapsed: 0.693 s
% 67.19/9.97 % (2961360)Peak memory usage: 35 MB
% 67.19/9.97 % (2961360)Instructions burned: 2254 (million)
% 67.19/9.97 % (2961362)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1430503724:fmbsr=1.6:i=67534_2933 on theBenchmark for (2933ds/67534Mi)
% 67.19/9.97 % TRYING [7]
% 67.19/9.97 % (2961358)Instruction limit reached!
% 67.19/9.97 % (2961358)------------------------------
% 67.19/9.97 % (2961358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961358)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961358)Termination reason: Instruction limit
% 67.19/9.97 % (2961358)Termination phase: Saturation
% 67.19/9.97 % (2961358)Time elapsed: 2.093 s
% 67.19/9.97 % (2961358)Peak memory usage: 42 MB
% 67.19/9.97 % (2961358)Instructions burned: 3774 (million)
% 67.19/9.97 % (2961364)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1324802552:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2923 on theBenchmark for (2923ds/4591Mi)
% 67.19/9.97 % TRYING [7]
% 67.19/9.97 % TRYING [6]
% 67.19/9.97 % (2961364)Instruction limit reached!
% 67.19/9.97 % (2961364)------------------------------
% 67.19/9.97 % (2961364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961364)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961364)Termination reason: Instruction limit
% 67.19/9.97 % (2961364)Termination phase: Saturation
% 67.19/9.97 % (2961364)Time elapsed: 1.740 s
% 67.19/9.97 % (2961364)Peak memory usage: 15 MB
% 67.19/9.97 % (2961364)Instructions burned: 4593 (million)
% 67.19/9.97 % (2961367)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=424978079:i=29340_2906 on theBenchmark for (2906ds/29340Mi)
% 67.19/9.97 % (2961367) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2961297-2961367"...
% 67.19/9.97 % (2961367)...printing done.
% 67.19/9.97 % (2961367)Refutation found. Thanks to Tanya!
% 67.19/9.97 % SZS status Theorem for theBenchmark
% 67.19/9.97 % SZS output start Proof for theBenchmark
% See solution above
% 67.19/9.97 % (2961367)------------------------------
% 67.19/9.97 % (2961367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 67.19/9.97 % (2961367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 67.19/9.97 % (2961367)CaDiCaL version: 2.1.3
% 67.19/9.97 % (2961367)Termination reason: Refutation
% 67.19/9.97 % (2961367)Time elapsed: 0.129 s
% 67.19/9.97 % (2961367)Peak memory usage: 13 MB
% 67.19/9.97 % (2961367)Instructions burned: 219 (million)
% 67.19/9.97 % (2961297)Success in time 9.559 s
% 67.19/9.97 % Vampire exiting
%------------------------------------------------------------------------------