%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET657+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 : n014.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 1.91s 0.77s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 148 ( 29 unt; 5 def)
% Number of atoms : 492 ( 26 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 585 ( 241 ~; 246 |; 38 &)
% ( 15 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-3 aty)
% Number of variables : 251 ( 0 sgn 244 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(union(X0,X2),union(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f5,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> field_of(X0) = union(domain_of(X0),range_of(X0)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',p36) ).
fof(f37,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/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/sandbox/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(f40,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(union(X0,X2),union(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,[],[f1]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(union(X0,X2),union(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,[],[f40]) ).
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(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(f111,plain,
! [X2,X3,X0,X1] :
( subset(union(X0,X2),union(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,[],[f41]) ).
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,definition,
sF14 = field_of(sK13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f181,plain,
field_of(sK13) = sF14,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF15 = union(sK11,sK12),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f183,plain,
union(sK11,sK12) = sF15,
inference(reorient_equations,[],[f182]) ).
fof(f184,plain,
~ subset(sF14,sF15),
inference(definition_folding,[],[f176,f183,f181]) ).
fof(f185,definition,
sF16 = relation_type(sK11,sK12),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f186,plain,
relation_type(sK11,sK12) = sF16,
inference(reorient_equations,[],[f185]) ).
fof(f187,plain,
ilf_type(sK13,sF16),
inference(definition_folding,[],[f175,f186]) ).
fof(f191,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f192,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(f193,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(f194,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(f195,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(f201,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(f208,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(f210,plain,
! [X0] : ~ empty(power_set(X0)),
inference(forward_subsumption_resolution,[],[f145,f172]) ).
fof(f211,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(f216,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(f219,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f191,f172]) ).
fof(f222,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f124,f172]) ).
fof(f223,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK1(X0,X1),X1)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f125,f172]) ).
fof(f225,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(f230,plain,
! [X2,X3,X0,X1] :
( subset(union(X0,X2),union(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f111,f172]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ilf_type(range(X0,X1,X2),subset_type(X1))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f192,f172]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range(X0,X1,X2) = range_of(X2) ),
inference(forward_subsumption_resolution,[],[f193,f172]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ilf_type(domain(X0,X1,X2),subset_type(X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f194,f172]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain(X0,X1,X2) = domain_of(X2) ),
inference(forward_subsumption_resolution,[],[f195,f172]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f201,f172]) ).
fof(f243,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(forward_subsumption_resolution,[],[f208,f172]) ).
fof(f245,plain,
! [X3,X0,X1] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ member(X0,power_set(X1))
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f211,f172]) ).
fof(f248,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ),
inference(forward_subsumption_resolution,[],[f216,f172]) ).
fof(f252,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(forward_subsumption_resolution,[],[f222,f172]) ).
fof(f253,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f223,f172]) ).
fof(f255,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f225,f172]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( subset(union(X0,X2),union(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f230,f172]) ).
fof(f263,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| member(X3,X1) ),
inference(forward_subsumption_resolution,[],[f245,f172]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( subset(union(X0,X2),union(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X0,set_type) ),
inference(forward_subsumption_resolution,[],[f260,f172]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( subset(union(X0,X2),union(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(forward_subsumption_resolution,[],[f268,f172]) ).
fof(f320,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1))
| empty(power_set(X1)) ),
inference(resolution,[],[f248,f243]) ).
fof(f321,plain,
! [X0,X1] :
( ~ ilf_type(X0,subset_type(X1))
| member(X0,power_set(X1)) ),
inference(forward_subsumption_resolution,[],[f320,f210]) ).
fof(f386,plain,
! [X0] :
( ~ relation_like(X0)
| field_of(X0) = union(domain_of(X0),range_of(X0)) ),
inference(resolution,[],[f117,f219]) ).
fof(f393,plain,
! [X0] :
( ~ ilf_type(X0,sF16)
| ilf_type(X0,subset_type(cross_product(sK11,sK12))) ),
inference(superposition,[],[f255,f186]) ).
fof(f414,plain,
! [X0] :
( ~ ilf_type(X0,sF16)
| range_of(X0) = range(sK11,sK12,X0) ),
inference(superposition,[],[f232,f186]) ).
fof(f422,plain,
! [X0] :
( ~ ilf_type(X0,sF16)
| domain_of(X0) = domain(sK11,sK12,X0) ),
inference(superposition,[],[f234,f186]) ).
fof(f519,plain,
! [X0,X1] :
( subset(union(X0,X1),sF15)
| ~ subset(X0,sK11)
| ~ subset(X1,sK12) ),
inference(superposition,[],[f269,f183]) ).
fof(f678,plain,
ilf_type(sK13,subset_type(cross_product(sK11,sK12))),
inference(resolution,[],[f393,f187]) ).
fof(f681,plain,
relation_like(sK13),
inference(resolution,[],[f678,f238]) ).
fof(f750,plain,
field_of(sK13) = union(domain_of(sK13),range_of(sK13)),
inference(resolution,[],[f386,f681]) ).
fof(f751,plain,
sF14 = union(domain_of(sK13),range_of(sK13)),
inference(forward_demodulation,[],[f750,f181]) ).
fof(f757,plain,
range_of(sK13) = range(sK11,sK12,sK13),
inference(resolution,[],[f414,f187]) ).
fof(f759,plain,
( ilf_type(range_of(sK13),subset_type(sK12))
| ~ ilf_type(sK13,relation_type(sK11,sK12)) ),
inference(superposition,[],[f231,f757]) ).
fof(f760,plain,
( ~ ilf_type(sK13,sF16)
| ilf_type(range_of(sK13),subset_type(sK12)) ),
inference(forward_demodulation,[],[f759,f186]) ).
fof(f761,plain,
ilf_type(range_of(sK13),subset_type(sK12)),
inference(forward_subsumption_resolution,[],[f760,f187]) ).
fof(f762,plain,
domain_of(sK13) = domain(sK11,sK12,sK13),
inference(resolution,[],[f422,f187]) ).
fof(f764,plain,
member(range_of(sK13),power_set(sK12)),
inference(resolution,[],[f761,f321]) ).
fof(f778,plain,
! [X0] :
( ~ member(X0,range_of(sK13))
| member(X0,sK12) ),
inference(resolution,[],[f764,f263]) ).
fof(f794,plain,
( ilf_type(domain_of(sK13),subset_type(sK11))
| ~ ilf_type(sK13,relation_type(sK11,sK12)) ),
inference(superposition,[],[f233,f762]) ).
fof(f795,plain,
( ~ ilf_type(sK13,sF16)
| ilf_type(domain_of(sK13),subset_type(sK11)) ),
inference(forward_demodulation,[],[f794,f186]) ).
fof(f796,plain,
ilf_type(domain_of(sK13),subset_type(sK11)),
inference(forward_subsumption_resolution,[],[f795,f187]) ).
fof(f804,plain,
member(domain_of(sK13),power_set(sK11)),
inference(resolution,[],[f796,f321]) ).
fof(f813,plain,
! [X0] :
( ~ member(X0,domain_of(sK13))
| member(X0,sK11) ),
inference(resolution,[],[f804,f263]) ).
fof(f955,plain,
( subset(sF14,sF15)
| ~ subset(domain_of(sK13),sK11)
| ~ subset(range_of(sK13),sK12) ),
inference(superposition,[],[f519,f751]) ).
fof(f956,plain,
( ~ subset(domain_of(sK13),sK11)
| ~ subset(range_of(sK13),sK12) ),
inference(forward_subsumption_resolution,[],[f955,f184]) ).
fof(f986,definition,
( spl17_61
<=> subset(range_of(sK13),sK12) ),
introduced(definition,[new_symbols(definition,[spl17_61])],[avatar_definition]) ).
fof(f988,plain,
( ~ subset(range_of(sK13),sK12)
| spl17_61 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f990,definition,
( spl17_62
<=> subset(domain_of(sK13),sK11) ),
introduced(definition,[new_symbols(definition,[spl17_62])],[avatar_definition]) ).
fof(f992,plain,
( ~ subset(domain_of(sK13),sK11)
| spl17_62 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f993,plain,
( ~ spl17_61
| ~ spl17_62 ),
inference(avatar_split_clause,[],[f956,f990,f986]) ).
fof(f1974,plain,
( member(sK1(range_of(sK13),sK12),range_of(sK13))
| spl17_61 ),
inference(resolution,[],[f988,f252]) ).
fof(f1978,plain,
( member(sK1(range_of(sK13),sK12),sK12)
| spl17_61 ),
inference(resolution,[],[f1974,f778]) ).
fof(f1991,plain,
( subset(range_of(sK13),sK12)
| spl17_61 ),
inference(resolution,[],[f1978,f253]) ).
fof(f1995,plain,
( $false
| spl17_61 ),
inference(forward_subsumption_resolution,[],[f1991,f988]) ).
fof(f1996,plain,
spl17_61,
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f2109,plain,
( member(sK1(domain_of(sK13),sK11),domain_of(sK13))
| spl17_62 ),
inference(resolution,[],[f992,f252]) ).
fof(f2261,plain,
( member(sK1(domain_of(sK13),sK11),sK11)
| spl17_62 ),
inference(resolution,[],[f2109,f813]) ).
fof(f2278,plain,
( subset(domain_of(sK13),sK11)
| spl17_62 ),
inference(resolution,[],[f2261,f253]) ).
fof(f2282,plain,
( $false
| spl17_62 ),
inference(forward_subsumption_resolution,[],[f2278,f992]) ).
fof(f2283,plain,
spl17_62,
inference(avatar_contradiction_clause,[],[f2282]) ).
cnf(s42,plain,
( ~ spl17_61
| ~ spl17_62 ),
inference(sat_conversion,[],[f993]) ).
cnf(s70,plain,
spl17_61,
inference(sat_conversion,[],[f1996]) ).
cnf(s91,plain,
spl17_62,
inference(sat_conversion,[],[f2283]) ).
cnf(s92,plain,
$false,
inference(rat,[],[s42,s91,s70]) ).
fof(f2284,plain,
$false,
inference(avatar_sat_refutation,[],[s92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET657+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:28:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 1.91/0.77 % (1377910)Will run a generic schedule for satisfiability detection.
% 1.91/0.77 % (1377920)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3055073560:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.91/0.77 % (1377919)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=309647210:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.91/0.77 % (1377915)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=531265042_2999 on theBenchmark for (2999ds/0Mi)
% 1.91/0.77 % (1377917)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1175231626:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.91/0.77 % (1377918)dis+10_1_sil=32000:sp=arity:random_seed=421787661:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.91/0.77 % (1377921)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4113949004:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.91/0.77 % (1377916)% WARNING: option uhcvi not known.
% 1.91/0.77 % (1377916)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3654131323:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.91/0.77 % TRYING [1]
% 1.91/0.77 % TRYING [2]
% 1.91/0.77 % TRYING [3]
% 1.91/0.77 % (1377920)Instruction limit reached!
% 1.91/0.77 % (1377920)------------------------------
% 1.91/0.77 % (1377920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377920)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377920)Termination reason: Instruction limit
% 1.91/0.77 % (1377920)Termination phase: Saturation
% 1.91/0.77 % (1377920)Time elapsed: 0.047 s
% 1.91/0.77 % (1377920)Peak memory usage: 13 MB
% 1.91/0.77 % (1377920)Instructions burned: 134 (million)
% 1.91/0.77 % (1377929)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=948380849:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.91/0.77 % TRYING [1]
% 1.91/0.77 % TRYING [4]
% 1.91/0.77 % TRYING [2]
% 1.91/0.77 % TRYING [3]
% 1.91/0.77 % (1377918)Instruction limit reached!
% 1.91/0.77 % (1377918)------------------------------
% 1.91/0.77 % (1377918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377918)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377918)Termination reason: Instruction limit
% 1.91/0.77 % (1377918)Termination phase: Saturation
% 1.91/0.77 % (1377918)Time elapsed: 0.069 s
% 1.91/0.77 % (1377918)Peak memory usage: 13 MB
% 1.91/0.77 % (1377918)Instructions burned: 103 (million)
% 1.91/0.77 % (1377919)Instruction limit reached!
% 1.91/0.77 % (1377919)------------------------------
% 1.91/0.77 % (1377919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377919)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377919)Termination reason: Instruction limit
% 1.91/0.77 % (1377919)Termination phase: Saturation
% 1.91/0.77 % (1377919)Time elapsed: 0.071 s
% 1.91/0.77 % (1377919)Peak memory usage: 13 MB
% 1.91/0.77 % (1377919)Instructions burned: 117 (million)
% 1.91/0.77 % TRYING [4]
% 1.91/0.77 % (1377931)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1428719223:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.91/0.77 % (1377932)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=1789869070:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.91/0.77 % (1377921)Instruction limit reached!
% 1.91/0.77 % (1377921)------------------------------
% 1.91/0.77 % (1377921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377921)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377921)Termination reason: Instruction limit
% 1.91/0.77 % (1377921)Termination phase: Saturation
% 1.91/0.77 % (1377921)Time elapsed: 0.105 s
% 1.91/0.77 % (1377921)Peak memory usage: 13 MB
% 1.91/0.77 % (1377921)Instructions burned: 159 (million)
% 1.91/0.77 % (1377935)ott-21_1_sil=16000:fs=off:random_seed=2580428035:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.91/0.77 % (1377931)Instruction limit reached!
% 1.91/0.77 % (1377931)------------------------------
% 1.91/0.77 % (1377931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377931)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377931)Termination reason: Instruction limit
% 1.91/0.77 % (1377931)Termination phase: Saturation
% 1.91/0.77 % (1377931)Time elapsed: 0.088 s
% 1.91/0.77 % (1377931)Peak memory usage: 13 MB
% 1.91/0.77 % (1377931)Instructions burned: 132 (million)
% 1.91/0.77 % (1377937)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=451515479:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.91/0.77 % (1377935)Instruction limit reached!
% 1.91/0.77 % (1377935)------------------------------
% 1.91/0.77 % (1377935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377935)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377935)Termination reason: Instruction limit
% 1.91/0.77 % (1377935)Termination phase: Saturation
% 1.91/0.77 % (1377935)Time elapsed: 0.084 s
% 1.91/0.77 % (1377935)Peak memory usage: 12 MB
% 1.91/0.77 % (1377935)Instructions burned: 180 (million)
% 1.91/0.77 % (1377939)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2921362285:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.91/0.77 % TRYING [1]
% 1.91/0.77 % TRYING [2]
% 1.91/0.77 % TRYING [3]
% 1.91/0.77 % (1377929)Instruction limit reached!
% 1.91/0.77 % (1377929)------------------------------
% 1.91/0.77 % (1377929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377929)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377929)Termination reason: Instruction limit
% 1.91/0.77 % (1377929)Termination phase: Finite model building SAT solving
% 1.91/0.77 % (1377929)Time elapsed: 0.218 s
% 1.91/0.77 % (1377929)Peak memory usage: 18 MB
% 1.91/0.77 % (1377929)Instructions burned: 716 (million)
% 1.91/0.77 % TRYING [4]
% 1.91/0.77 % (1377941)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=314804614:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 1.91/0.77 % (1377941) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1377910-1377941"...
% 1.91/0.77 % (1377941)...printing done.
% 1.91/0.77 % (1377941)Refutation found. Thanks to Tanya!
% 1.91/0.77 % SZS status Theorem for theBenchmark
% 1.91/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.77 % (1377941)------------------------------
% 1.91/0.77 % (1377941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.77 % (1377941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.77 % (1377941)CaDiCaL version: 2.1.3
% 1.91/0.77 % (1377941)Termination reason: Refutation
% 1.91/0.77 % (1377941)Time elapsed: 0.034 s
% 1.91/0.77 % (1377941)Peak memory usage: 14 MB
% 1.91/0.77 % (1377941)Instructions burned: 98 (million)
% 1.91/0.77 % (1377910)Success in time 0.356 s
% 1.91/0.77 % Vampire exiting
%------------------------------------------------------------------------------