%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET655+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 : n005.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 12:44:20 PM UTC 2026
% Result : Theorem 94.22s 13.74s
% Output : Refutation 94.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 97 ( 17 unt; 0 def)
% Number of atoms : 414 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 538 ( 221 ~; 213 |; 55 &)
% ( 13 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 222 ( 206 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
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,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',p3) ).
fof(f5,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',p5) ).
fof(f7,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',p7) ).
fof(f10,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',p10) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f12,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',p12) ).
fof(f14,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',p14) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X0,X1)
& subset(X2,X3) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_17) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X0,X1)
& subset(X2,X3) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f24,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,[],[f2]) ).
fof(f25,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,[],[f24]) ).
fof(f26,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,[],[f3]) ).
fof(f28,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,[],[f5]) ).
fof(f29,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,[],[f28]) ).
fof(f31,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,[],[f7]) ).
fof(f34,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,[],[f10]) ).
fof(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f37,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,[],[f12]) ).
fof(f38,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,[],[f37]) ).
fof(f41,plain,
! [X0] :
( ( empty(X0)
<=> ! [X1] :
( ~ member(X1,X0)
| ~ ilf_type(X1,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f48,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X0,X1)
& subset(X2,X3)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X0,X1)
& subset(X2,X3)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f48]) ).
fof(f51,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,[],[f29]) ).
fof(f52,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,[],[f51]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f52]) ).
fof(f54,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,[],[f31]) ).
fof(f56,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,[],[f35]) ).
fof(f57,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,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0)
& ilf_type(sK3(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,[sK3]),skolemize(X2,sK3(X0,X1))],[f57]) ).
fof(f59,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,[],[f38]) ).
fof(f61,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,[],[f41]) ).
fof(f62,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,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ( ( empty(X0)
| ( member(sK5(X0),X0)
& ilf_type(sK5(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,[sK5]),skolemize(X1,sK5(X0))],[f62]) ).
fof(f67,plain,
( ~ ilf_type(sK13,relation_type(sK10,sK12))
& subset(sK9,sK10)
& subset(sK11,sK12)
& ilf_type(sK13,relation_type(sK9,sK11))
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type)
& ilf_type(sK9,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X0,sK9),skolemize(X1,sK10),skolemize(X2,sK11),skolemize(X3,sK12),skolemize(X4,sK13)],[f49]) ).
fof(f69,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,[],[f25]) ).
fof(f70,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f26]) ).
fof(f71,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,[],[f26]) ).
fof(f73,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,[],[f53]) ).
fof(f78,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f54]) ).
fof(f79,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,[],[f54]) ).
fof(f82,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f58]) ).
fof(f84,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK3(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f58]) ).
fof(f85,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK3(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f58]) ).
fof(f87,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f36]) ).
fof(f88,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f59]) ).
fof(f89,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,[],[f59]) ).
fof(f91,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f103,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f108,plain,
ilf_type(sK13,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f67]) ).
fof(f109,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f67]) ).
fof(f110,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f67]) ).
fof(f111,plain,
~ ilf_type(sK13,relation_type(sK10,sK12)),
inference(cnf_transformation,[],[f67]) ).
fof(f113,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f87,f103]) ).
fof(f125,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f91,f103]) ).
fof(f126,plain,
! [X2,X0] :
( ~ member(X2,X0)
| ~ empty(X0) ),
inference(forward_subsumption_resolution,[],[f125,f103]) ).
fof(f139,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f78,f103]) ).
fof(f140,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f139,f103]) ).
fof(f142,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,[],[f79,f103]) ).
fof(f143,plain,
! [X0,X1] :
( ~ ilf_type(X1,member_type(power_set(X0)))
| ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f142,f103]) ).
fof(f152,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| member(sK3(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f84,f103]) ).
fof(f153,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f152,f103]) ).
fof(f160,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ member(sK3(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f85,f103]) ).
fof(f161,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f160,f103]) ).
fof(f167,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f88,f103]) ).
fof(f168,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f167,f103]) ).
fof(f172,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| empty(power_set(X1))
| ~ ilf_type(X0,subset_type(X1)) ),
inference(resolution,[],[f168,f140]) ).
fof(f175,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f172,f113]) ).
fof(f185,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,[],[f89,f126]) ).
fof(f186,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f185,f103]) ).
fof(f187,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(forward_subsumption_resolution,[],[f186,f103]) ).
fof(f257,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f70,f103]) ).
fof(f258,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f257,f103]) ).
fof(f259,plain,
ilf_type(sK13,subset_type(cross_product(sK9,sK11))),
inference(unit_resulting_resolution,[],[f258,f108]) ).
fof(f264,plain,
member(sK13,power_set(cross_product(sK9,sK11))),
inference(unit_resulting_resolution,[],[f175,f259]) ).
fof(f289,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,[],[f71,f103]) ).
fof(f290,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f289,f103]) ).
fof(f291,plain,
~ ilf_type(sK13,subset_type(cross_product(sK10,sK12))),
inference(unit_resulting_resolution,[],[f290,f111]) ).
fof(f306,plain,
~ ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12)))),
inference(unit_resulting_resolution,[],[f143,f291]) ).
fof(f314,plain,
~ member(sK13,power_set(cross_product(sK10,sK12))),
inference(unit_resulting_resolution,[],[f187,f306]) ).
fof(f318,plain,
member(sK3(sK13,cross_product(sK10,sK12)),sK13),
inference(unit_resulting_resolution,[],[f153,f314]) ).
fof(f322,plain,
~ member(sK3(sK13,cross_product(sK10,sK12)),cross_product(sK10,sK12)),
inference(unit_resulting_resolution,[],[f161,f314]) ).
fof(f474,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,[],[f73,f103]) ).
fof(f475,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) ),
inference(forward_subsumption_resolution,[],[f474,f103]) ).
fof(f476,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f475,f103]) ).
fof(f2231,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f82,f103]) ).
fof(f2232,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f2231,f103]) ).
fof(f2233,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f2232,f103]) ).
fof(f2625,plain,
member(sK3(sK13,cross_product(sK10,sK12)),cross_product(sK9,sK11)),
inference(unit_resulting_resolution,[],[f2233,f318,f264]) ).
fof(f3198,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,[],[f69,f103]) ).
fof(f3199,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,[],[f3198,f103]) ).
fof(f3200,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,[],[f3199,f103]) ).
fof(f3201,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(forward_subsumption_resolution,[],[f3200,f103]) ).
fof(f3633,plain,
subset(cross_product(sK9,sK11),cross_product(sK10,sK12)),
inference(unit_resulting_resolution,[],[f3201,f109,f110]) ).
fof(f52349,plain,
$false,
inference(unit_resulting_resolution,[],[f476,f3633,f322,f2625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET655+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 02:28:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 29.00/4.56 % (374124)Will run a generic schedule for satisfiability detection.
% 29.00/4.56 % (374129)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2490267422_2999 on theBenchmark for (2999ds/0Mi)
% 29.00/4.56 % TRYING [1]
% 29.00/4.56 % TRYING [2]
% 29.00/4.56 % TRYING [3]
% 29.00/4.56 % (374130)% WARNING: option uhcvi not known.
% 29.00/4.56 % (374132)dis+10_1_sil=32000:sp=arity:random_seed=4065298241:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 29.00/4.56 % (374131)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=589372172:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 29.00/4.56 % (374135)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2130253572:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 29.00/4.56 % (374134)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3293799346:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 29.00/4.56 % (374133)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3301276110:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 29.00/4.56 % (374130)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=61595998:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 29.00/4.56 % TRYING [4]
% 29.00/4.56 % (374132)Instruction limit reached!
% 29.00/4.56 % (374132)------------------------------
% 29.00/4.56 % (374132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/4.56 % (374132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/4.56 % (374132)CaDiCaL version: 2.1.3
% 29.00/4.56 % (374132)Termination reason: Instruction limit
% 29.00/4.56 % (374132)Termination phase: Saturation
% 29.00/4.56 % (374132)Time elapsed: 0.065 s
% 29.00/4.56 % (374132)Peak memory usage: 12 MB
% 29.00/4.56 % (374132)Instructions burned: 104 (million)
% 29.00/4.56 % (374133)Instruction limit reached!
% 29.00/4.56 % (374133)------------------------------
% 29.00/4.56 % (374133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/4.56 % (374133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/4.56 % (374133)CaDiCaL version: 2.1.3
% 29.00/4.56 % (374133)Termination reason: Instruction limit
% 29.00/4.56 % (374133)Termination phase: Saturation
% 29.00/4.56 % (374133)Time elapsed: 0.070 s
% 29.00/4.56 % (374133)Peak memory usage: 12 MB
% 29.00/4.56 % (374133)Instructions burned: 116 (million)
% 29.00/4.56 % (374134)Instruction limit reached!
% 29.00/4.56 % (374134)------------------------------
% 29.00/4.56 % (374134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/4.56 % (374134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/4.56 % (374134)CaDiCaL version: 2.1.3
% 29.00/4.56 % (374134)Termination reason: Instruction limit
% 29.00/4.56 % (374134)Termination phase: Saturation
% 29.00/4.56 % (374134)Time elapsed: 0.081 s
% 29.00/4.56 % (374134)Peak memory usage: 13 MB
% 29.00/4.56 % (374134)Instructions burned: 131 (million)
% 29.00/4.56 % (374143)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1238682221:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 29.00/4.56 % TRYING [1]
% 29.00/4.56 % TRYING [2]
% 29.00/4.56 % (374144)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3521310280:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 29.00/4.56 % TRYING [3]
% 29.00/4.56 % (374145)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=2004285491:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 29.00/4.56 % (374135)Instruction limit reached!
% 29.00/4.56 % (374135)------------------------------
% 29.00/4.56 % (374135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/4.56 % (374135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.00/4.56 % (374135)CaDiCaL version: 2.1.3
% 29.00/4.56 % (374135)Termination reason: Instruction limit
% 29.00/4.56 % (374135)Termination phase: Saturation
% 29.00/4.56 % (374135)Time elapsed: 0.110 s
% 29.00/4.56 % (374135)Peak memory usage: 13 MB
% 29.00/4.56 % (374135)Instructions burned: 159 (million)
% 29.00/4.56 % (374149)ott-21_1_sil=16000:fs=off:random_seed=1624170011:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 29.00/4.56 % (374144)Instruction limit reached!
% 29.00/4.56 % (374144)------------------------------
% 29.00/4.56 % (374144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.00/4.56 % (374144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.64/8.40 % (374144)CaDiCaL version: 2.1.3
% 56.64/8.40 % (374144)Termination reason: Instruction limit
% 56.64/8.40 % (374144)Termination phase: Saturation
% 56.64/8.40 % (374144)Time elapsed: 0.082 s
% 56.64/8.40 % (374144)Peak memory usage: 14 MB
% 56.64/8.40 % (374144)Instructions burned: 131 (million)
% 56.64/8.40 % (374155)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1502762984:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 56.64/8.40 % (374149)Instruction limit reached!
% 56.64/8.40 % (374149)------------------------------
% 56.64/8.40 % (374149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.64/8.40 % (374149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.64/8.40 % (374149)CaDiCaL version: 2.1.3
% 56.64/8.40 % (374149)Termination reason: Instruction limit
% 56.64/8.40 % (374149)Termination phase: Saturation
% 56.64/8.40 % (374149)Time elapsed: 0.091 s
% 56.64/8.40 % (374149)Peak memory usage: 13 MB
% 56.64/8.40 % (374149)Instructions burned: 182 (million)
% 56.64/8.40 % (374173)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3807680014:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 56.64/8.40 % TRYING [1]
% 56.64/8.40 % TRYING [2]
% 56.64/8.40 % TRYING [3]
% 56.64/8.40 % TRYING [4]
% 56.64/8.40 % TRYING [4]
% 56.64/8.40 % TRYING [5]
% 56.64/8.40 % (374145)Instruction limit reached!
% 56.64/8.40 % (374145)------------------------------
% 56.64/8.40 % (374145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.64/8.40 % (374145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.64/8.40 % (374145)CaDiCaL version: 2.1.3
% 56.64/8.40 % (374145)Termination reason: Instruction limit
% 56.64/8.40 % (374145)Termination phase: Saturation
% 56.64/8.40 % (374145)Time elapsed: 0.377 s
% 56.64/8.40 % (374145)Peak memory usage: 19 MB
% 56.64/8.40 % (374145)Instructions burned: 685 (million)
% 56.64/8.40 % (374155)Instruction limit reached!
% 56.64/8.40 % (374155)------------------------------
% 56.64/8.40 % (374155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.64/8.40 % (374155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.64/8.40 % (374155)CaDiCaL version: 2.1.3
% 56.64/8.40 % (374155)Termination reason: Instruction limit
% 56.64/8.40 % (374155)Termination phase: Saturation
% 56.64/8.40 % (374155)Time elapsed: 0.289 s
% 56.64/8.40 % (374155)Peak memory usage: 15 MB
% 56.64/8.40 % (374155)Instructions burned: 478 (million)
% 56.64/8.40 % (374192)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2605362148:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 56.64/8.40 % (374193)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=413996606:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 56.64/8.40 % (374143)Instruction limit reached!
% 56.64/8.40 % (374143)------------------------------
% 56.64/8.40 % (374143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.64/8.40 % (374143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.64/8.40 % (374143)CaDiCaL version: 2.1.3
% 56.64/8.40 % (374143)Termination reason: Instruction limit
% 56.64/8.40 % (374143)Termination phase: Finite model building SAT solving
% 56.64/8.40 % (374143)Time elapsed: 0.426 s
% 56.64/8.40 % (374143)Peak memory usage: 14 MB
% 56.64/8.40 % (374143)Instructions burned: 714 (million)
% 56.64/8.40 % TRYING [14]
% 56.64/8.40 % (374196)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=4218326719: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)
% 56.64/8.40 % TRYING [5]
% 56.64/8.40 % (374173)Instruction limit reached!
% 56.64/8.40 % (374173)------------------------------
% 56.64/8.40 % (374173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.64/8.40 % (374173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.64/8.40 % (374173)CaDiCaL version: 2.1.3
% 56.64/8.40 % (374173)Termination reason: Instruction limit
% 56.64/8.40 % (374173)Termination phase: Finite model building SAT solving
% 56.64/8.40 % (374173)Time elapsed: 0.508 s
% 56.64/8.40 % (374173)Peak memory usage: 13 MB
% 56.64/8.40 % (374173)Instructions burned: 865 (million)
% 56.64/8.40 % (374233)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1599185309:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 56.64/8.40 % (374193)Instruction limit reached!
% 56.64/8.40 % (374193)------------------------------
% 56.64/8.40 % (374193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.64/8.40 % (374193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374193)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374193)Termination reason: Instruction limit
% 94.22/13.74 % (374193)Termination phase: Finite model building constraint generation
% 94.22/13.74 % (374193)Time elapsed: 0.348 s
% 94.22/13.74 % (374193)Peak memory usage: 61 MB
% 94.22/13.74 % (374193)Instructions burned: 889 (million)
% 94.22/13.74 % (374235)fmb+10_1_sil=64000:random_seed=3326954535:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 94.22/13.74 % TRYING [1]
% 94.22/13.74 % TRYING [2]
% 94.22/13.74 % TRYING [3]
% 94.22/13.74 % TRYING [4]
% 94.22/13.74 % (374196)Instruction limit reached!
% 94.22/13.74 % (374196)------------------------------
% 94.22/13.74 % (374196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374196)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374196)Termination reason: Instruction limit
% 94.22/13.74 % (374196)Termination phase: Saturation
% 94.22/13.74 % (374196)Time elapsed: 0.445 s
% 94.22/13.74 % (374196)Peak memory usage: 22 MB
% 94.22/13.74 % (374196)Instructions burned: 692 (million)
% 94.22/13.74 % (374244)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3775534174:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 94.22/13.74 % TRYING [20]
% 94.22/13.74 % (374192)Instruction limit reached!
% 94.22/13.74 % (374192)------------------------------
% 94.22/13.74 % (374192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374192)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374192)Termination reason: Instruction limit
% 94.22/13.74 % (374192)Termination phase: Saturation
% 94.22/13.74 % (374192)Time elapsed: 0.668 s
% 94.22/13.74 % (374192)Peak memory usage: 22 MB
% 94.22/13.74 % (374192)Instructions burned: 1179 (million)
% 94.22/13.74 % (374246)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4018121591:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 94.22/13.74 % TRYING [8]
% 94.22/13.74 % (374233)Instruction limit reached!
% 94.22/13.74 % (374233)------------------------------
% 94.22/13.74 % (374233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374233)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374233)Termination reason: Instruction limit
% 94.22/13.74 % (374233)Termination phase: Saturation
% 94.22/13.74 % (374233)Time elapsed: 0.492 s
% 94.22/13.74 % (374233)Peak memory usage: 17 MB
% 94.22/13.74 % (374233)Instructions burned: 880 (million)
% 94.22/13.74 % (374248)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=280750762:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 94.22/13.74 % TRYING [5]
% 94.22/13.74 % (374246)Instruction limit reached!
% 94.22/13.74 % (374246)------------------------------
% 94.22/13.74 % (374246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374246)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374246)Termination reason: Instruction limit
% 94.22/13.74 % (374246)Termination phase: Finite model building SAT solving
% 94.22/13.74 % (374246)Time elapsed: 0.466 s
% 94.22/13.74 % (374246)Peak memory usage: 30 MB
% 94.22/13.74 % (374246)Instructions burned: 922 (million)
% 94.22/13.74 % (374250)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3954194420:i=1472:ins=7:fdi=8:gsp=on_2983 on theBenchmark for (2983ds/1472Mi)
% 94.22/13.74 % (374250)Instruction limit reached!
% 94.22/13.74 % (374250)------------------------------
% 94.22/13.74 % (374250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374250)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374250)Termination reason: Instruction limit
% 94.22/13.74 % (374250)Termination phase: Saturation
% 94.22/13.74 % (374250)Time elapsed: 0.624 s
% 94.22/13.74 % (374250)Peak memory usage: 23 MB
% 94.22/13.74 % (374250)Instructions burned: 1472 (million)
% 94.22/13.74 % TRYING [6]
% 94.22/13.74 % (374252)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2316391055:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 94.22/13.74 % TRYING [77]
% 94.22/13.74 % (374248)Instruction limit reached!
% 94.22/13.74 % (374248)------------------------------
% 94.22/13.74 % (374248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374248)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374248)Termination reason: Instruction limit
% 94.22/13.74 % (374248)Termination phase: Saturation
% 94.22/13.74 % (374248)Time elapsed: 2.841 s
% 94.22/13.74 % (374248)Peak memory usage: 23 MB
% 94.22/13.74 % (374248)Instructions burned: 5132 (million)
% 94.22/13.74 % (374254)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3697808089:fmbsr=2.30978:i=2174_2958 on theBenchmark for (2958ds/2174Mi)
% 94.22/13.74 % TRYING [16]
% 94.22/13.74 % (374252)Instruction limit reached!
% 94.22/13.74 % (374252)------------------------------
% 94.22/13.74 % (374252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374252)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374252)Termination reason: Instruction limit
% 94.22/13.74 % (374252)Termination phase: Finite model building constraint generation
% 94.22/13.74 % (374252)Time elapsed: 2.183 s
% 94.22/13.74 % (374252)Peak memory usage: 411 MB
% 94.22/13.74 % (374252)Instructions burned: 6324 (million)
% 94.22/13.74 % (374256)ott-2_1_sil=16000:newcnf=on:random_seed=1892612651:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 94.22/13.74 % (374254)Instruction limit reached!
% 94.22/13.74 % (374254)------------------------------
% 94.22/13.74 % (374254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374254)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374254)Termination reason: Instruction limit
% 94.22/13.74 % (374254)Termination phase: Finite model building constraint generation
% 94.22/13.74 % (374254)Time elapsed: 0.812 s
% 94.22/13.74 % (374254)Peak memory usage: 156 MB
% 94.22/13.74 % (374254)Instructions burned: 2174 (million)
% 94.22/13.74 % (374258)ott+10_1_sil=32000:tgt=ground:random_seed=303554614:i=5114:av=off_2950 on theBenchmark for (2950ds/5114Mi)
% 94.22/13.74 % (374256)Instruction limit reached!
% 94.22/13.74 % (374256)------------------------------
% 94.22/13.74 % (374256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374256)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374256)Termination reason: Instruction limit
% 94.22/13.74 % (374256)Termination phase: Saturation
% 94.22/13.74 % (374256)Time elapsed: 0.468 s
% 94.22/13.74 % (374256)Peak memory usage: 17 MB
% 94.22/13.74 % (374256)Instructions burned: 870 (million)
% 94.22/13.74 % (374260)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3138050707:i=54282_2949 on theBenchmark for (2949ds/54282Mi)
% 94.22/13.74 % TRYING [1]
% 94.22/13.74 % TRYING [2]
% 94.22/13.74 % TRYING [3]
% 94.22/13.74 % TRYING [4]
% 94.22/13.74 % (374244)Instruction limit reached!
% 94.22/13.74 % (374244)------------------------------
% 94.22/13.74 % (374244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374244)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374244)Termination reason: Instruction limit
% 94.22/13.74 % (374244)Termination phase: Finite model building SAT solving
% 94.22/13.74 % (374244)Time elapsed: 4.543 s
% 94.22/13.74 % (374244)Peak memory usage: 466 MB
% 94.22/13.74 % (374244)Instructions burned: 9515 (million)
% 94.22/13.74 % (374262)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=475630329:i=3512:aac=none_2943 on theBenchmark for (2943ds/3512Mi)
% 94.22/13.74 % TRYING [5]
% 94.22/13.74 % TRYING [6]
% 94.22/13.74 % (374262)Instruction limit reached!
% 94.22/13.74 % (374262)------------------------------
% 94.22/13.74 % (374262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374262)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374262)Termination reason: Instruction limit
% 94.22/13.74 % (374262)Termination phase: Saturation
% 94.22/13.74 % (374262)Time elapsed: 1.829 s
% 94.22/13.74 % (374262)Peak memory usage: 25 MB
% 94.22/13.74 % (374262)Instructions burned: 3512 (million)
% 94.22/13.74 % (374264)dis+21_1_sil=32000:sas=cadical:random_seed=584895426:i=3773:amm=off_2925 on theBenchmark for (2925ds/3773Mi)
% 94.22/13.74 % (374258)Instruction limit reached!
% 94.22/13.74 % (374258)------------------------------
% 94.22/13.74 % (374258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374258)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374258)Termination reason: Instruction limit
% 94.22/13.74 % (374258)Termination phase: Saturation
% 94.22/13.74 % (374258)Time elapsed: 2.971 s
% 94.22/13.74 % (374258)Peak memory usage: 51 MB
% 94.22/13.74 % (374258)Instructions burned: 5115 (million)
% 94.22/13.74 % (374266)ott+11_1_sil=16000:gs=on:random_seed=2641929991:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2920 on theBenchmark for (2920ds/2251Mi)
% 94.22/13.74 % TRYING [6]
% 94.22/13.74 % (374266)Instruction limit reached!
% 94.22/13.74 % (374266)------------------------------
% 94.22/13.74 % (374266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374266)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374266)Termination reason: Instruction limit
% 94.22/13.74 % (374266)Termination phase: Saturation
% 94.22/13.74 % (374266)Time elapsed: 1.229 s
% 94.22/13.74 % (374266)Peak memory usage: 34 MB
% 94.22/13.74 % (374266)Instructions burned: 2252 (million)
% 94.22/13.74 % (374268)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4189022070:fmbsr=1.6:i=67534_2907 on theBenchmark for (2907ds/67534Mi)
% 94.22/13.74 % TRYING [7]
% 94.22/13.74 % (374264)Instruction limit reached!
% 94.22/13.74 % (374264)------------------------------
% 94.22/13.74 % (374264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374264)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374264)Termination reason: Instruction limit
% 94.22/13.74 % (374264)Termination phase: Saturation
% 94.22/13.74 % (374264)Time elapsed: 2.046 s
% 94.22/13.74 % (374264)Peak memory usage: 36 MB
% 94.22/13.74 % (374264)Instructions burned: 3774 (million)
% 94.22/13.74 % (374270)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1173253874:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2904 on theBenchmark for (2904ds/4591Mi)
% 94.22/13.74 % (374270)Instruction limit reached!
% 94.22/13.74 % (374270)------------------------------
% 94.22/13.74 % (374270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.74 % (374270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.74 % (374270)CaDiCaL version: 2.1.3
% 94.22/13.74 % (374270)Termination reason: Instruction limit
% 94.22/13.74 % (374270)Termination phase: Saturation
% 94.22/13.74 % (374270)Time elapsed: 2.522 s
% 94.22/13.74 % (374270)Peak memory usage: 31 MB
% 94.22/13.74 % (374270)Instructions burned: 4591 (million)
% 94.22/13.74 % (374272)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2298635212:i=29340_2879 on theBenchmark for (2879ds/29340Mi)
% 94.22/13.74 % (374272) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-374124-374272"...
% 94.22/13.74 % (374272)...printing done.
% 94.22/13.74 % (374272)Refutation found. Thanks to Tanya!
% 94.22/13.74 % SZS status Theorem for theBenchmark
% 94.22/13.74 % SZS output start Proof for theBenchmark
% See solution above
% 94.22/13.75 % (374272)------------------------------
% 94.22/13.75 % (374272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 94.22/13.75 % (374272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 94.22/13.75 % (374272)CaDiCaL version: 2.1.3
% 94.22/13.75 % (374272)Termination reason: Refutation
% 94.22/13.75 % (374272)Time elapsed: 1.207 s
% 94.22/13.75 % (374272)Peak memory usage: 29 MB
% 94.22/13.75 % (374272)Instructions burned: 2265 (million)
% 94.22/13.75 % (374124)Success in time 13.327 s
% 94.22/13.75 % Vampire exiting
%------------------------------------------------------------------------------