%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET647+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 : n016.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 12:44:18 PM UTC 2026
% Result : Theorem 71.91s 25.68s
% Output : Refutation 71.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 14 unt; 0 def)
% Number of atoms : 358 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 468 ( 195 ~; 185 |; 42 &)
% ( 13 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 4 con; 0-2 aty)
% Number of variables : 182 ( 172 !; 10 ?)
% 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)
=> ( subset(X0,X1)
=> ( subset(cross_product(X0,X2),cross_product(X1,X2))
& subset(cross_product(X2,X0),cross_product(X2,X1)) ) ) ) ) ),
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(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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/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,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_9) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(domain_of(X1),X0)
=> ilf_type(X1,relation_type(X0,range_of(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] :
( ( subset(cross_product(X0,X2),cross_product(X1,X2))
& subset(cross_product(X2,X0),cross_product(X2,X1)) )
| ~ subset(X0,X1)
| ~ 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] :
( ( subset(cross_product(X0,X2),cross_product(X1,X2))
& subset(cross_product(X2,X0),cross_product(X2,X1)) )
| ~ subset(X0,X1)
| ~ 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] :
( ~ ilf_type(X1,relation_type(X0,range_of(X1)))
& subset(domain_of(X1),X0)
& ilf_type(X1,binary_relation_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f62,plain,
? [X0] :
( ? [X1] :
( ~ ilf_type(X1,relation_type(X0,range_of(X1)))
& subset(domain_of(X1),X0)
& ilf_type(X1,binary_relation_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(sK13,relation_type(sK12,range_of(sK13)))
& subset(domain_of(sK13),sK12)
& ilf_type(sK13,binary_relation_type)
& ilf_type(sK12,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X0,sK12),skolemize(X1,sK13)],[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(f93,plain,
! [X2,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f33]) ).
fof(f95,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(f109,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(f116,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(f128,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(f129,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(f133,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(f135,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f88]) ).
fof(f139,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f141,plain,
ilf_type(sK13,binary_relation_type),
inference(cnf_transformation,[],[f89]) ).
fof(f142,plain,
subset(domain_of(sK13),sK12),
inference(cnf_transformation,[],[f89]) ).
fof(f143,plain,
~ ilf_type(sK13,relation_type(sK12,range_of(sK13))),
inference(cnf_transformation,[],[f89]) ).
fof(f167,plain,
subset(sK13,cross_product(domain_of(sK13),range_of(sK13))),
inference(unit_resulting_resolution,[],[f91,f141]) ).
fof(f173,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f135,f139]) ).
fof(f174,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f173,f139]) ).
fof(f199,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,[],[f116,f139]) ).
fof(f200,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f199,f139]) ).
fof(f215,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK9(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f128,f139]) ).
fof(f216,plain,
! [X0,X1] :
( member(sK9(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f215,f139]) ).
fof(f223,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK9(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f129,f139]) ).
fof(f224,plain,
! [X0,X1] :
( ~ member(sK9(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f223,f139]) ).
fof(f251,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,[],[f133,f174]) ).
fof(f252,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f251,f139]) ).
fof(f253,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f252,f139]) ).
fof(f374,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,[],[f95,f139]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f374,f139]) ).
fof(f376,plain,
~ ilf_type(sK13,subset_type(cross_product(sK12,range_of(sK13)))),
inference(unit_resulting_resolution,[],[f375,f143]) ).
fof(f390,plain,
~ ilf_type(sK13,member_type(power_set(cross_product(sK12,range_of(sK13))))),
inference(unit_resulting_resolution,[],[f200,f376]) ).
fof(f395,plain,
~ member(sK13,power_set(cross_product(sK12,range_of(sK13)))),
inference(unit_resulting_resolution,[],[f253,f390]) ).
fof(f427,plain,
member(sK9(sK13,cross_product(sK12,range_of(sK13))),sK13),
inference(unit_resulting_resolution,[],[f216,f395]) ).
fof(f431,plain,
~ member(sK9(sK13,cross_product(sK12,range_of(sK13))),cross_product(sK12,range_of(sK13))),
inference(unit_resulting_resolution,[],[f224,f395]) ).
fof(f1384,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,f139]) ).
fof(f1385,plain,
! [X2,X0,X1] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f1384,f139]) ).
fof(f1386,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(forward_subsumption_resolution,[],[f1385,f139]) ).
fof(f2857,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,[],[f109,f139]) ).
fof(f2858,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f2857,f139]) ).
fof(f2859,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f2858,f139]) ).
fof(f3150,plain,
~ subset(sK13,cross_product(sK12,range_of(sK13))),
inference(unit_resulting_resolution,[],[f2859,f431,f427]) ).
fof(f3328,plain,
~ subset(cross_product(domain_of(sK13),range_of(sK13)),cross_product(sK12,range_of(sK13))),
inference(unit_resulting_resolution,[],[f1386,f167,f3150]) ).
fof(f5236,plain,
! [X2,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f93,f139]) ).
fof(f5237,plain,
! [X2,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) ),
inference(forward_subsumption_resolution,[],[f5236,f139]) ).
fof(f5238,plain,
! [X2,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X2))
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f5237,f139]) ).
fof(f5544,plain,
$false,
inference(unit_resulting_resolution,[],[f5238,f142,f3328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET647+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/15.40 % Computer : n016.cluster.edu
% 0.12/15.40 % Model : x86_64 x86_64
% 0.12/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.40 % Memory : 8046.5625MB
% 0.12/15.40 % OS : Linux 6.8.0-71-generic
% 0.12/15.40 % CPULimit : 300
% 0.12/15.40 % WCLimit : 300
% 0.12/15.40 % DateTime : Mon Sep 28 02:33:19 UTC 2026
% 0.12/15.41 % CPUTime :
% 0.12/15.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/15.44 Running first-order model finding
% 0.12/15.44 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
% 19.53/18.27 % (3198504)Will run a generic schedule for satisfiability detection.
% 19.53/18.27 % (3198512)dis+10_1_sil=32000:sp=arity:random_seed=2840633305:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 19.53/18.27 % (3198510)% WARNING: option uhcvi not known.
% 19.53/18.27 % (3198509)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4100986675_2999 on theBenchmark for (2999ds/0Mi)
% 19.53/18.27 % (3198511)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1106245137:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 19.53/18.27 % (3198510)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=865767421:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 19.53/18.27 % (3198515)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1267260587:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 19.53/18.27 % (3198513)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2127651479:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 19.53/18.27 % (3198514)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=968470371:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 19.53/18.27 % TRYING [1]
% 19.53/18.27 % TRYING [2]
% 19.53/18.27 % TRYING [3]
% 19.53/18.27 % (3198512)Instruction limit reached!
% 19.53/18.27 % (3198512)------------------------------
% 19.53/18.27 % (3198512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/18.27 % (3198512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/18.27 % (3198512)CaDiCaL version: 2.1.3
% 19.53/18.27 % (3198512)Termination reason: Instruction limit
% 19.53/18.27 % (3198512)Termination phase: Saturation
% 19.53/18.27 % (3198512)Time elapsed: 0.036 s
% 19.53/18.27 % (3198512)Peak memory usage: 12 MB
% 19.53/18.27 % (3198512)Instructions burned: 104 (million)
% 19.53/18.27 % (3198523)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1075703348:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 19.53/18.27 % TRYING [1]
% 19.53/18.27 % TRYING [2]
% 19.53/18.27 % TRYING [3]
% 19.53/18.27 % (3198513)Instruction limit reached!
% 19.53/18.27 % (3198513)------------------------------
% 19.53/18.27 % (3198513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/18.27 % (3198513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/18.27 % (3198513)CaDiCaL version: 2.1.3
% 19.53/18.27 % (3198513)Termination reason: Instruction limit
% 19.53/18.27 % (3198513)Termination phase: Saturation
% 19.53/18.27 % (3198513)Time elapsed: 0.070 s
% 19.53/18.27 % (3198513)Peak memory usage: 12 MB
% 19.53/18.27 % (3198513)Instructions burned: 116 (million)
% 19.53/18.27 % TRYING [4]
% 19.53/18.27 % (3198514)Instruction limit reached!
% 19.53/18.27 % (3198514)------------------------------
% 19.53/18.27 % (3198514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/18.27 % (3198514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/18.27 % (3198514)CaDiCaL version: 2.1.3
% 19.53/18.27 % (3198514)Termination reason: Instruction limit
% 19.53/18.27 % (3198514)Termination phase: Saturation
% 19.53/18.27 % (3198514)Time elapsed: 0.088 s
% 19.53/18.27 % (3198514)Peak memory usage: 13 MB
% 19.53/18.27 % (3198514)Instructions burned: 131 (million)
% 19.53/18.27 % (3198525)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3533161792:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 19.53/18.27 % (3198515)Instruction limit reached!
% 19.53/18.27 % (3198515)------------------------------
% 19.53/18.27 % (3198515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/18.27 % (3198515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/18.27 % (3198515)CaDiCaL version: 2.1.3
% 19.53/18.27 % (3198515)Termination reason: Instruction limit
% 19.53/18.27 % (3198515)Termination phase: Saturation
% 19.53/18.27 % (3198515)Time elapsed: 0.108 s
% 19.53/18.27 % (3198515)Peak memory usage: 14 MB
% 19.53/18.27 % (3198515)Instructions burned: 160 (million)
% 19.53/18.27 % (3198526)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=3178279490:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 19.53/18.27 % TRYING [4]
% 19.53/18.27 % (3198529)ott-21_1_sil=16000:fs=off:random_seed=1199655160:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 19.53/18.27 % (3198525)Instruction limit reached!
% 19.53/18.27 % (3198525)------------------------------
% 19.53/18.27 % (3198525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.53/18.27 % (3198525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.35/21.79 % (3198525)CaDiCaL version: 2.1.3
% 44.35/21.79 % (3198525)Termination reason: Instruction limit
% 44.35/21.79 % (3198525)Termination phase: Saturation
% 44.35/21.79 % (3198525)Time elapsed: 0.088 s
% 44.35/21.79 % (3198525)Peak memory usage: 14 MB
% 44.35/21.79 % (3198525)Instructions burned: 132 (million)
% 44.35/21.79 % (3198531)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2514981586:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 44.35/21.79 % (3198529)Instruction limit reached!
% 44.35/21.79 % (3198529)------------------------------
% 44.35/21.79 % (3198529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.35/21.79 % (3198529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.35/21.79 % (3198529)CaDiCaL version: 2.1.3
% 44.35/21.79 % (3198529)Termination reason: Instruction limit
% 44.35/21.79 % (3198529)Termination phase: Saturation
% 44.35/21.79 % (3198529)Time elapsed: 0.093 s
% 44.35/21.79 % (3198529)Peak memory usage: 13 MB
% 44.35/21.79 % (3198529)Instructions burned: 180 (million)
% 44.35/21.79 % (3198533)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=656389562:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.35/21.79 % TRYING [1]
% 44.35/21.79 % TRYING [2]
% 44.35/21.79 % TRYING [3]
% 44.35/21.79 % (3198523)Instruction limit reached!
% 44.35/21.79 % (3198523)------------------------------
% 44.35/21.79 % (3198523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.35/21.79 % (3198523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.35/21.79 % (3198523)CaDiCaL version: 2.1.3
% 44.35/21.79 % (3198523)Termination reason: Instruction limit
% 44.35/21.79 % (3198523)Termination phase: Finite model building SAT solving
% 44.35/21.79 % (3198523)Time elapsed: 0.215 s
% 44.35/21.79 % (3198523)Peak memory usage: 15 MB
% 44.35/21.79 % (3198523)Instructions burned: 718 (million)
% 44.35/21.79 % (3198535)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1011037987:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 44.35/21.79 % TRYING [4]
% 44.35/21.79 % (3198526)Instruction limit reached!
% 44.35/21.79 % (3198526)------------------------------
% 44.35/21.79 % (3198526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.35/21.79 % (3198526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.35/21.79 % (3198526)CaDiCaL version: 2.1.3
% 44.35/21.79 % (3198526)Termination reason: Instruction limit
% 44.35/21.79 % (3198526)Termination phase: Saturation
% 44.35/21.79 % (3198526)Time elapsed: 0.356 s
% 44.35/21.79 % (3198526)Peak memory usage: 24 MB
% 44.35/21.79 % (3198526)Instructions burned: 685 (million)
% 44.35/21.79 % (3198537)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1620038514:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 44.35/21.79 % (3198531)Instruction limit reached!
% 44.35/21.79 % (3198531)------------------------------
% 44.35/21.79 % (3198531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.35/21.79 % (3198531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.35/21.79 % (3198531)CaDiCaL version: 2.1.3
% 44.35/21.79 % (3198531)Termination reason: Instruction limit
% 44.35/21.79 % (3198531)Termination phase: Saturation
% 44.35/21.79 % (3198531)Time elapsed: 0.309 s
% 44.35/21.79 % (3198531)Peak memory usage: 16 MB
% 44.35/21.79 % (3198531)Instructions burned: 477 (million)
% 44.35/21.79 % TRYING [14]
% 44.35/21.79 % (3198539)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=3385369275: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)
% 44.35/21.79 % TRYING [5]
% 44.35/21.79 % (3198535)Instruction limit reached!
% 44.35/21.79 % (3198535)------------------------------
% 44.35/21.79 % (3198535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.35/21.79 % (3198535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.35/21.79 % (3198535)CaDiCaL version: 2.1.3
% 44.35/21.79 % (3198535)Termination reason: Instruction limit
% 44.35/21.79 % (3198535)Termination phase: Saturation
% 44.35/21.79 % (3198535)Time elapsed: 0.385 s
% 44.35/21.79 % (3198535)Peak memory usage: 24 MB
% 44.35/21.79 % (3198535)Instructions burned: 1179 (million)
% 44.35/21.79 % (3198541)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1700291295:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 44.35/21.79 % TRYING [5]
% 44.35/21.79 % (3198533)Instruction limit reached!
% 44.35/21.79 % (3198533)------------------------------
% 44.35/21.79 % (3198533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198533)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198533)Termination reason: Instruction limit
% 71.91/25.68 % (3198533)Termination phase: Finite model building SAT solving
% 71.91/25.68 % (3198533)Time elapsed: 0.477 s
% 71.91/25.68 % (3198533)Peak memory usage: 14 MB
% 71.91/25.68 % (3198533)Instructions burned: 866 (million)
% 71.91/25.68 % (3198543)fmb+10_1_sil=64000:random_seed=3287942645:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 71.91/25.68 % TRYING [1]
% 71.91/25.68 % TRYING [2]
% 71.91/25.68 % TRYING [3]
% 71.91/25.68 % TRYING [4]
% 71.91/25.68 % (3198537)Instruction limit reached!
% 71.91/25.68 % (3198537)------------------------------
% 71.91/25.68 % (3198537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198537)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198537)Termination reason: Instruction limit
% 71.91/25.68 % (3198537)Termination phase: Finite model building constraint generation
% 71.91/25.68 % (3198537)Time elapsed: 0.328 s
% 71.91/25.68 % (3198537)Peak memory usage: 63 MB
% 71.91/25.68 % (3198537)Instructions burned: 890 (million)
% 71.91/25.68 % (3198545)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3397874318:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 71.91/25.68 % TRYING [20]
% 71.91/25.68 % (3198541)Instruction limit reached!
% 71.91/25.68 % (3198541)------------------------------
% 71.91/25.68 % (3198541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198541)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198541)Termination reason: Instruction limit
% 71.91/25.68 % (3198541)Termination phase: Saturation
% 71.91/25.68 % (3198541)Time elapsed: 0.247 s
% 71.91/25.68 % (3198541)Peak memory usage: 17 MB
% 71.91/25.68 % (3198541)Instructions burned: 883 (million)
% 71.91/25.68 % (3198539)Instruction limit reached!
% 71.91/25.68 % (3198539)------------------------------
% 71.91/25.68 % (3198539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198539)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198539)Termination reason: Instruction limit
% 71.91/25.68 % (3198539)Termination phase: Saturation
% 71.91/25.68 % (3198539)Time elapsed: 0.396 s
% 71.91/25.68 % (3198539)Peak memory usage: 20 MB
% 71.91/25.68 % (3198539)Instructions burned: 692 (million)
% 71.91/25.68 % (3198547)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4204535744:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 71.91/25.68 % TRYING [8]
% 71.91/25.68 % (3198548)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3772753060:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 71.91/25.68 % TRYING [5]
% 71.91/25.68 % (3198547)Instruction limit reached!
% 71.91/25.68 % (3198547)------------------------------
% 71.91/25.68 % (3198547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198547)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198547)Termination reason: Instruction limit
% 71.91/25.68 % (3198547)Termination phase: Finite model building SAT solving
% 71.91/25.68 % (3198547)Time elapsed: 0.250 s
% 71.91/25.68 % (3198547)Peak memory usage: 39 MB
% 71.91/25.68 % (3198547)Instructions burned: 923 (million)
% 71.91/25.68 % (3198551)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3087625687:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 71.91/25.68 % (3198551)Instruction limit reached!
% 71.91/25.68 % (3198551)------------------------------
% 71.91/25.68 % (3198551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198551)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198551)Termination reason: Instruction limit
% 71.91/25.68 % (3198551)Termination phase: Saturation
% 71.91/25.68 % (3198551)Time elapsed: 0.397 s
% 71.91/25.68 % (3198551)Peak memory usage: 27 MB
% 71.91/25.68 % (3198551)Instructions burned: 1475 (million)
% 71.91/25.68 % (3198553)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=326106768:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 71.91/25.68 % TRYING [77]
% 71.91/25.68 % TRYING [6]
% 71.91/25.68 % (3198553)Instruction limit reached!
% 71.91/25.68 % (3198553)------------------------------
% 71.91/25.68 % (3198553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198553)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198553)Termination reason: Instruction limit
% 71.91/25.68 % (3198553)Termination phase: Finite model building constraint generation
% 71.91/25.68 % (3198553)Time elapsed: 1.188 s
% 71.91/25.68 % (3198553)Peak memory usage: 405 MB
% 71.91/25.68 % (3198553)Instructions burned: 6328 (million)
% 71.91/25.68 % (3198555)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2863879016:fmbsr=2.30978:i=2174_2971 on theBenchmark for (2971ds/2174Mi)
% 71.91/25.68 % TRYING [16]
% 71.91/25.68 % (3198555)Instruction limit reached!
% 71.91/25.68 % (3198555)------------------------------
% 71.91/25.68 % (3198555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198555)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198555)Termination reason: Instruction limit
% 71.91/25.68 % (3198555)Termination phase: Finite model building constraint generation
% 71.91/25.68 % (3198555)Time elapsed: 0.412 s
% 71.91/25.68 % (3198555)Peak memory usage: 144 MB
% 71.91/25.68 % (3198555)Instructions burned: 2175 (million)
% 71.91/25.68 % (3198557)ott-2_1_sil=16000:newcnf=on:random_seed=3559436651:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 71.91/25.68 % (3198557)Instruction limit reached!
% 71.91/25.68 % (3198557)------------------------------
% 71.91/25.68 % (3198557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198557)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198557)Termination reason: Instruction limit
% 71.91/25.68 % (3198557)Termination phase: Saturation
% 71.91/25.68 % (3198557)Time elapsed: 0.288 s
% 71.91/25.68 % (3198557)Peak memory usage: 17 MB
% 71.91/25.68 % (3198557)Instructions burned: 871 (million)
% 71.91/25.68 % (3198559)ott+10_1_sil=32000:tgt=ground:random_seed=2284774519:i=5114:av=off_2964 on theBenchmark for (2964ds/5114Mi)
% 71.91/25.68 % TRYING [6]
% 71.91/25.68 % (3198548)Instruction limit reached!
% 71.91/25.68 % (3198548)------------------------------
% 71.91/25.68 % (3198548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198548)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198548)Termination reason: Instruction limit
% 71.91/25.68 % (3198548)Termination phase: Saturation
% 71.91/25.68 % (3198548)Time elapsed: 2.806 s
% 71.91/25.68 % (3198548)Peak memory usage: 26 MB
% 71.91/25.68 % (3198548)Instructions burned: 5133 (million)
% 71.91/25.68 % (3198561)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1744565863:i=54282_2962 on theBenchmark for (2962ds/54282Mi)
% 71.91/25.68 % TRYING [1]
% 71.91/25.68 % TRYING [2]
% 71.91/25.68 % TRYING [3]
% 71.91/25.68 % TRYING [4]
% 71.91/25.68 % TRYING [5]
% 71.91/25.68 % (3198545)Instruction limit reached!
% 71.91/25.68 % (3198545)------------------------------
% 71.91/25.68 % (3198545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198545)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198545)Termination reason: Instruction limit
% 71.91/25.68 % (3198545)Termination phase: Finite model building SAT solving
% 71.91/25.68 % (3198545)Time elapsed: 4.230 s
% 71.91/25.68 % (3198545)Peak memory usage: 476 MB
% 71.91/25.68 % (3198545)Instructions burned: 9516 (million)
% 71.91/25.68 % (3198563)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=603736743:i=3512:aac=none_2948 on theBenchmark for (2948ds/3512Mi)
% 71.91/25.68 % TRYING [7]
% 71.91/25.68 % (3198559)Instruction limit reached!
% 71.91/25.68 % (3198559)------------------------------
% 71.91/25.68 % (3198559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198559)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198559)Termination reason: Instruction limit
% 71.91/25.68 % (3198559)Termination phase: Saturation
% 71.91/25.68 % (3198559)Time elapsed: 1.644 s
% 71.91/25.68 % (3198559)Peak memory usage: 56 MB
% 71.91/25.68 % (3198559)Instructions burned: 5116 (million)
% 71.91/25.68 % (3198565)dis+21_1_sil=32000:sas=cadical:random_seed=2459758261:i=3773:amm=off_2947 on theBenchmark for (2947ds/3773Mi)
% 71.91/25.68 % (3198565)Instruction limit reached!
% 71.91/25.68 % (3198565)------------------------------
% 71.91/25.68 % (3198565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198565)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198565)Termination reason: Instruction limit
% 71.91/25.68 % (3198565)Termination phase: Saturation
% 71.91/25.68 % (3198565)Time elapsed: 1.087 s
% 71.91/25.68 % (3198565)Peak memory usage: 41 MB
% 71.91/25.68 % (3198565)Instructions burned: 3774 (million)
% 71.91/25.68 % (3198567)ott+11_1_sil=16000:gs=on:random_seed=2075259828:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2936 on theBenchmark for (2936ds/2251Mi)
% 71.91/25.68 % (3198567)Instruction limit reached!
% 71.91/25.68 % (3198567)------------------------------
% 71.91/25.68 % (3198567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198567)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198567)Termination reason: Instruction limit
% 71.91/25.68 % (3198567)Termination phase: Saturation
% 71.91/25.68 % (3198567)Time elapsed: 0.674 s
% 71.91/25.68 % (3198567)Peak memory usage: 29 MB
% 71.91/25.68 % (3198567)Instructions burned: 2255 (million)
% 71.91/25.68 % (3198569)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1834133400:fmbsr=1.6:i=67534_2929 on theBenchmark for (2929ds/67534Mi)
% 71.91/25.68 % TRYING [7]
% 71.91/25.68 % (3198563)Instruction limit reached!
% 71.91/25.68 % (3198563)------------------------------
% 71.91/25.68 % (3198563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198563)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198563)Termination reason: Instruction limit
% 71.91/25.68 % (3198563)Termination phase: Saturation
% 71.91/25.68 % (3198563)Time elapsed: 1.921 s
% 71.91/25.68 % (3198563)Peak memory usage: 31 MB
% 71.91/25.68 % (3198563)Instructions burned: 3513 (million)
% 71.91/25.68 % (3198571)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2979381443:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2929 on theBenchmark for (2929ds/4591Mi)
% 71.91/25.68 % TRYING [6]
% 71.91/25.68 % TRYING [8]
% 71.91/25.68 % (3198571)Instruction limit reached!
% 71.91/25.68 % (3198571)------------------------------
% 71.91/25.68 % (3198571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.68 % (3198571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.68 % (3198571)CaDiCaL version: 2.1.3
% 71.91/25.68 % (3198571)Termination reason: Instruction limit
% 71.91/25.68 % (3198571)Termination phase: Saturation
% 71.91/25.68 % (3198571)Time elapsed: 2.911 s
% 71.91/25.68 % (3198571)Peak memory usage: 73 MB
% 71.91/25.68 % (3198571)Instructions burned: 4592 (million)
% 71.91/25.68 % (3198573)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=1309981129:i=29340_2899 on theBenchmark for (2899ds/29340Mi)
% 71.91/25.68 % (3198573) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3198504-3198573"...
% 71.91/25.68 % (3198573)...printing done.
% 71.91/25.68 % (3198573)Refutation found. Thanks to Tanya!
% 71.91/25.68 % SZS status Theorem for theBenchmark
% 71.91/25.68 % SZS output start Proof for theBenchmark
% See solution above
% 71.91/25.69 % (3198573)------------------------------
% 71.91/25.69 % (3198573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 71.91/25.69 % (3198573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.91/25.69 % (3198573)CaDiCaL version: 2.1.3
% 71.91/25.69 % (3198573)Termination reason: Refutation
% 71.91/25.69 % (3198573)Time elapsed: 0.118 s
% 71.91/25.69 % (3198573)Peak memory usage: 13 MB
% 71.91/25.69 % (3198573)Instructions burned: 203 (million)
% 71.91/25.69 % (3198504)Success in time 10.235 s
% 71.91/25.69 % Vampire exiting
%------------------------------------------------------------------------------