%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:41:33 PM UTC 2026
% Result : Theorem 4.70s 1.53s
% Output : Refutation 5.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 130 ( 16 unt; 0 def)
% Number of atoms : 486 ( 16 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 594 ( 238 ~; 257 |; 41 &)
% ( 15 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 278 ( 271 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> field_of(X0) = union(domain_of(X0),range_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f7,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',p7) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f14,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
fof(f16,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',p16) ).
fof(f21,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',p21) ).
fof(f22,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',p22) ).
fof(f23,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',p23) ).
fof(f27,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f33,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> domain(X0,X1,X2) = domain_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p33) ).
fof(f34,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(domain(X0,X1,X2),subset_type(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p34) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range(X0,X1,X2) = range_of(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p35) ).
fof(f36,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(range(X0,X1,X2),subset_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p36) ).
fof(f37,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p37) ).
fof(f38,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> subset(field_of(X2),union(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_19) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> subset(field_of(X2),union(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X2,union(X0,X1))
<=> ( member(X2,X0)
| member(X2,X1) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f45,plain,
! [X0] :
( field_of(X0) = union(domain_of(X0),range_of(X0))
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,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,[],[f7]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f9]) ).
fof(f50,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,[],[f49]) ).
fof(f55,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f14]) ).
fof(f56,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,[],[f16]) ).
fof(f62,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,[],[f21]) ).
fof(f63,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,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ( ~ empty(power_set(X0))
& ilf_type(power_set(X0),set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f65,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,[],[f23]) ).
fof(f66,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,[],[f65]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f27]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f35]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f83,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subset(field_of(X2),union(X0,X1))
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f39]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f43]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( member(X2,union(X0,X1))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1)) ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f84]) ).
fof(f87,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,[],[f50]) ).
fof(f88,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,[],[f87]) ).
fof(f89,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))],[f88]) ).
fof(f90,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f55]) ).
fof(f91,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f90]) ).
fof(f93,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,[],[f56]) ).
fof(f95,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,[],[f63]) ).
fof(f96,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,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(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) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f96]) ).
fof(f98,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,[],[f66]) ).
fof(f110,plain,
( ~ subset(field_of(sK13),union(sK11,sK12))
& ilf_type(sK13,relation_type(sK11,sK12))
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f83]) ).
fof(f113,plain,
! [X2,X0,X1] :
( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f85]) ).
fof(f114,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f85]) ).
fof(f115,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f85]) ).
fof(f117,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| field_of(X0) = union(domain_of(X0),range_of(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f119,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,[],[f47]) ).
fof(f124,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f125,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f132,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f91]) ).
fof(f134,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,[],[f93]) ).
fof(f140,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,[],[f97]) ).
fof(f145,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f64]) ).
fof(f146,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,[],[f98]) ).
fof(f160,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f168,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f79]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f80]) ).
fof(f170,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f81]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f172,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f37]) ).
fof(f175,plain,
ilf_type(sK13,relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f110]) ).
fof(f176,plain,
~ subset(field_of(sK13),union(sK11,sK12)),
inference(cnf_transformation,[],[f110]) ).
fof(f180,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f181,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f171,f172]) ).
fof(f182,plain,
! [X2,X0,X1] :
( range(X0,X1,X2) = range_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f170,f172]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f169,f172]) ).
fof(f184,plain,
! [X2,X0,X1] :
( domain(X0,X1,X2) = domain_of(X2)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f168,f172]) ).
fof(f190,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f160,f172]) ).
fof(f197,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f146,f172]) ).
fof(f199,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f145,f172]) ).
fof(f200,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,[],[f140,f172]) ).
fof(f205,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,[],[f134,f172]) ).
fof(f208,plain,
! [X0] :
( ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f180,f172]) ).
fof(f211,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f124,f172]) ).
fof(f212,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f125,f172]) ).
fof(f214,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,[],[f119,f172]) ).
fof(f216,plain,
! [X2,X0,X1] :
( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f113,f172]) ).
fof(f217,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f114,f172]) ).
fof(f218,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f115,f172]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f181,f172]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(forward_subsumption_resolution,[],[f182,f172]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f183,f172]) ).
fof(f223,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(forward_subsumption_resolution,[],[f184,f172]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f190,f172]) ).
fof(f232,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f197,f172]) ).
fof(f234,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f200,f172]) ).
fof(f237,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f205,f172]) ).
fof(f241,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f211,f172]) ).
fof(f242,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f212,f172]) ).
fof(f244,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f214,f172]) ).
fof(f246,plain,
! [X2,X0,X1] :
( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f216,f172]) ).
fof(f247,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f217,f172]) ).
fof(f248,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f218,f172]) ).
fof(f252,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f234,f172]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ member(X2,union(X0,X1))
| member(X2,X1)
| member(X2,X0) ),
inference(forward_subsumption_resolution,[],[f246,f172]) ).
fof(f255,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X1) ),
inference(forward_subsumption_resolution,[],[f247,f172]) ).
fof(f256,plain,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
| ~ member(X2,X0) ),
inference(forward_subsumption_resolution,[],[f248,f172]) ).
fof(f263,plain,
domain(sK11,sK12,sK13) = domain_of(sK13),
inference(resolution,[],[f223,f175]) ).
fof(f264,plain,
! [X2,X0,X1] :
( member(sK1(union(X0,X1),X2),X1)
| member(sK1(union(X0,X1),X2),X0)
| subset(union(X0,X1),X2) ),
inference(resolution,[],[f254,f241]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f255,f242]) ).
fof(f274,plain,
range(sK11,sK12,sK13) = range_of(sK13),
inference(resolution,[],[f221,f175]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ member(sK1(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f256,f242]) ).
fof(f293,plain,
( ilf_type(domain_of(sK13),subset_type(sK11))
| ~ ilf_type(sK13,relation_type(sK11,sK12)) ),
inference(superposition,[],[f222,f263]) ).
fof(f294,plain,
ilf_type(domain_of(sK13),subset_type(sK11)),
inference(forward_subsumption_resolution,[],[f293,f175]) ).
fof(f295,plain,
( ilf_type(range_of(sK13),subset_type(sK12))
| ~ ilf_type(sK13,relation_type(sK11,sK12)) ),
inference(superposition,[],[f220,f274]) ).
fof(f296,plain,
ilf_type(range_of(sK13),subset_type(sK12)),
inference(forward_subsumption_resolution,[],[f295,f175]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f227,f244]) ).
fof(f350,plain,
relation_like(sK13),
inference(resolution,[],[f347,f175]) ).
fof(f353,plain,
ilf_type(sK13,binary_relation_type),
inference(resolution,[],[f350,f208]) ).
fof(f354,plain,
field_of(sK13) = union(domain_of(sK13),range_of(sK13)),
inference(resolution,[],[f353,f117]) ).
fof(f361,plain,
! [X0] :
( member(sK1(field_of(sK13),X0),range_of(sK13))
| member(sK1(field_of(sK13),X0),domain_of(sK13))
| subset(field_of(sK13),X0) ),
inference(superposition,[],[f264,f354]) ).
fof(f586,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(resolution,[],[f237,f232]) ).
fof(f587,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f586,f199]) ).
fof(f589,plain,
member(domain_of(sK13),power_set(sK11)),
inference(resolution,[],[f587,f294]) ).
fof(f590,plain,
member(range_of(sK13),power_set(sK12)),
inference(resolution,[],[f587,f296]) ).
fof(f593,plain,
! [X0] :
( ~ member(X0,domain_of(sK13))
| member(X0,sK11) ),
inference(resolution,[],[f589,f252]) ).
fof(f594,plain,
! [X0] :
( ~ member(X0,range_of(sK13))
| member(X0,sK12) ),
inference(resolution,[],[f590,f252]) ).
fof(f615,plain,
! [X0] :
( member(sK1(field_of(sK13),X0),domain_of(sK13))
| member(sK1(field_of(sK13),X0),sK12)
| subset(field_of(sK13),X0) ),
inference(resolution,[],[f594,f361]) ).
fof(f639,plain,
! [X0] :
( member(sK1(field_of(sK13),X0),sK12)
| subset(field_of(sK13),X0)
| member(sK1(field_of(sK13),X0),sK11) ),
inference(resolution,[],[f615,f593]) ).
fof(f647,plain,
! [X0] :
( subset(field_of(sK13),union(X0,sK12))
| member(sK1(field_of(sK13),union(X0,sK12)),sK11)
| subset(field_of(sK13),union(X0,sK12)) ),
inference(resolution,[],[f639,f272]) ).
fof(f648,plain,
! [X0] :
( member(sK1(field_of(sK13),union(X0,sK12)),sK11)
| subset(field_of(sK13),union(X0,sK12)) ),
inference(duplicate_literal_removal,[],[f647]) ).
fof(f658,plain,
( subset(field_of(sK13),union(sK11,sK12))
| subset(field_of(sK13),union(sK11,sK12)) ),
inference(resolution,[],[f648,f275]) ).
fof(f661,plain,
subset(field_of(sK13),union(sK11,sK12)),
inference(duplicate_literal_removal,[],[f658]) ).
fof(f662,plain,
$false,
inference(forward_subsumption_resolution,[],[f661,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.53 % Computer : n015.cluster.edu
% 0.10/0.53 % Model : x86_64 x86_64
% 0.10/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.53 % Memory : 8046.5625MB
% 0.10/0.53 % OS : Linux 6.8.0-71-generic
% 0.10/0.53 % CPULimit : 300
% 0.10/0.53 % WCLimit : 300
% 0.10/0.53 % DateTime : Mon Sep 28 02:31:47 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.54 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.57 Running first-order theorem proving
% 0.13/0.57 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.70/1.53 % (2205472)Detected formulas, will run a generic FOF schedule.
% 4.70/1.53 % (2205483)dis-21_1_sil=8000:lcm=predicate:random_seed=4011998976:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.70/1.53 % (2205482)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3589945009:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.70/1.53 % (2205478)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=216733484:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.70/1.53 % (2205479)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3782922035:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.70/1.53 % (2205477)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1358491247:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.70/1.53 % (2205480)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1849398605:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.70/1.53 % (2205481)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3117593677:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.70/1.53 % (2205480)Refutation not found, incomplete strategy
% 4.70/1.53 % (2205480)------------------------------
% 4.70/1.53 % (2205480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205480)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205480)Termination reason: Refutation not found, incomplete strategy
% 4.70/1.53 % (2205480)Time elapsed: 0.002 s
% 4.70/1.53 % (2205480)Peak memory usage: 88 MB
% 4.70/1.53 % (2205480)Instructions burned: 1 (million)
% 4.70/1.53 % (2205481)Instruction limit reached!
% 4.70/1.53 % (2205481)------------------------------
% 4.70/1.53 % (2205481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205481)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205481)Termination reason: Instruction limit
% 4.70/1.53 % (2205481)Termination phase: Saturation
% 4.70/1.53 % (2205481)Time elapsed: 0.077 s
% 4.70/1.53 % (2205481)Peak memory usage: 88 MB
% 4.70/1.53 % (2205481)Instructions burned: 121 (million)
% 4.70/1.53 % (2205483)Instruction limit reached!
% 4.70/1.53 % (2205483)------------------------------
% 4.70/1.53 % (2205483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205483)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205483)Termination reason: Instruction limit
% 4.70/1.53 % (2205483)Termination phase: Saturation
% 4.70/1.53 % (2205483)Time elapsed: 0.077 s
% 4.70/1.53 % (2205483)Peak memory usage: 90 MB
% 4.70/1.53 % (2205483)Instructions burned: 131 (million)
% 4.70/1.53 % (2205482)Instruction limit reached!
% 4.70/1.53 % (2205482)------------------------------
% 4.70/1.53 % (2205482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205482)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205482)Termination reason: Instruction limit
% 4.70/1.53 % (2205482)Termination phase: Saturation
% 4.70/1.53 % (2205482)Time elapsed: 0.102 s
% 4.70/1.53 % (2205482)Peak memory usage: 89 MB
% 4.70/1.53 % (2205482)Instructions burned: 139 (million)
% 4.70/1.53 % (2205491)lrs+10_1_sil=8000:sp=occurrence:random_seed=900058792:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.70/1.53 % (2205492)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3065446821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.70/1.53 % (2205493)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3116674588:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.70/1.53 % (2205480)------------------------------
% 4.70/1.53 % (2205480)------------------------------
% 4.70/1.53 % (2205492)Instruction limit reached!
% 4.70/1.53 % (2205492)------------------------------
% 4.70/1.53 % (2205492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205492)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205492)Termination reason: Instruction limit
% 4.70/1.53 % (2205492)Termination phase: Saturation
% 4.70/1.53 % (2205492)Time elapsed: 0.085 s
% 4.70/1.53 % (2205492)Peak memory usage: 89 MB
% 4.70/1.53 % (2205492)Instructions burned: 157 (million)
% 4.70/1.53 % (2205497)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2660982860:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.70/1.53 % (2205491)Instruction limit reached!
% 4.70/1.53 % (2205491)------------------------------
% 4.70/1.53 % (2205491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205491)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205491)Termination reason: Instruction limit
% 4.70/1.53 % (2205491)Termination phase: Saturation
% 4.70/1.53 % (2205491)Time elapsed: 0.181 s
% 4.70/1.53 % (2205491)Peak memory usage: 91 MB
% 4.70/1.53 % (2205491)Instructions burned: 286 (million)
% 4.70/1.53 % (2205493)Instruction limit reached!
% 4.70/1.53 % (2205493)------------------------------
% 4.70/1.53 % (2205493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205493)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205493)Termination reason: Instruction limit
% 4.70/1.53 % (2205493)Termination phase: Saturation
% 4.70/1.53 % (2205493)Time elapsed: 0.193 s
% 4.70/1.53 % (2205493)Peak memory usage: 90 MB
% 4.70/1.53 % (2205493)Instructions burned: 326 (million)
% 4.70/1.53 % (2205498)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2192640535:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.70/1.53 % (2205498)Refutation not found, incomplete strategy
% 4.70/1.53 % (2205498)------------------------------
% 4.70/1.53 % (2205498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205498)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205498)Termination reason: Refutation not found, incomplete strategy
% 4.70/1.53 % (2205498)Time elapsed: 0.003 s
% 4.70/1.53 % (2205498)Peak memory usage: 88 MB
% 4.70/1.53 % (2205498)Instructions burned: 3 (million)
% 4.70/1.53 % (2205478)First to succeed.
% 4.70/1.53 % (2205478)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2205472"
% 4.70/1.53 % (2205497)Instruction limit reached!
% 4.70/1.53 % (2205497)------------------------------
% 4.70/1.53 % (2205497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.70/1.53 % (2205497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.70/1.53 % (2205497)CaDiCaL version: 2.1.3
% 4.70/1.53 % (2205497)Termination reason: Instruction limit
% 4.70/1.53 % (2205497)Termination phase: Saturation
% 4.70/1.53 % (2205497)Time elapsed: 0.138 s
% 4.70/1.53 % (2205497)Peak memory usage: 92 MB
% 4.70/1.53 % (2205497)Instructions burned: 249 (million)
% 4.70/1.53 % (2205500)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2990205541:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.70/1.53 % (2205502)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1698804336:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.70/1.53 % (2205478)Refutation found. Thanks to Tanya!
% 4.70/1.53 % SZS status Theorem for theBenchmark
% 4.70/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 5.63/1.62 % (2205478)------------------------------
% 5.63/1.62 % (2205478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.62 % (2205478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.62 % (2205478)CaDiCaL version: 2.1.3
% 5.63/1.62 % (2205478)Termination reason: Refutation
% 5.63/1.62 % (2205478)Time elapsed: 0.448 s
% 5.63/1.62 % (2205478)Peak memory usage: 130 MB
% 5.63/1.62 % (2205478)Instructions burned: 1027 (million)
% 5.63/1.62 % (2205478)------------------------------
% 5.63/1.62 % (2205478)------------------------------
% 5.63/1.62 % (2205472)Success in time 0.76 s
% 5.63/1.62 % Vampire exiting
%------------------------------------------------------------------------------