%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET661+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 : 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 12:44:21 PM UTC 2026
% Result : Theorem 1.87s 0.89s
% Output : Refutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of formulae : 174 ( 22 unt; 7 def)
% Number of atoms : 535 ( 47 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 639 ( 278 ~; 287 |; 15 &)
% ( 20 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-3 aty)
% Number of variables : 228 ( 0 sgn 221 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,domain_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f4,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),inverse(X2))
<=> member(ordered_pair(X1,X0),X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f6,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',p6) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8) ).
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(f21,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',p21) ).
fof(f28,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',p28) ).
fof(f31,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',p31) ).
fof(f33,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',p33) ).
fof(f35,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> inverse3(X0,X1,X2) = inverse(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(inverse3(X0,X1,X2),relation_type(X1,X0)) ) ) ),
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))
=> ( domain(X1,X0,inverse3(X0,X1,X2)) = range(X0,X1,X2)
& range(X1,X0,inverse3(X0,X1,X2)) = domain(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_24) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( domain(X1,X0,inverse3(X0,X1,X2)) = range(X0,X1,X2)
& range(X1,X0,inverse3(X0,X1,X2)) = domain(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( member(X0,domain_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X0,X2),X1) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( member(X0,range_of(X1))
<=> ? [X2] :
( ilf_type(X2,set_type)
& member(ordered_pair(X2,X0),X1) ) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(ordered_pair(X0,X1),inverse(X2))
<=> member(ordered_pair(X1,X0),X2) )
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f4]) ).
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,[],[f6]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
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(f62,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,[],[f21]) ).
fof(f63,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,[],[f62]) ).
fof(f74,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,[],[f28]) ).
fof(f78,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,[],[f31]) ).
fof(f80,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,[],[f33]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( inverse3(X0,X1,X2) = inverse(X2)
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f35]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0))
| ~ ilf_type(X2,relation_type(X0,X1)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f36]) ).
fof(f84,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( range(X0,X1,X2) != domain(X1,X0,inverse3(X0,X1,X2))
| domain(X0,X1,X2) != range(X1,X0,inverse3(X0,X1,X2)) )
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f39]) ).
fof(f85,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| member(X0,domain_of(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f88,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| member(X0,range_of(X1)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X1,X0),X2)
| member(ordered_pair(X0,X1),inverse(X2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),X2)
| ~ member(ordered_pair(X0,X1),inverse(X2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f99,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f47]) ).
fof(f103,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f110,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f55]) ).
fof(f123,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f124,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| inverse(X2) = inverse3(X0,X1,X2) ),
inference(cnf_transformation,[],[f82]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f152,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f37]) ).
fof(f153,plain,
( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f154,plain,
ilf_type(sK16,relation_type(sK14,sK15)),
inference(cnf_transformation,[],[f84]) ).
fof(f166,definition,
( spl17_1
<=> range(sK14,sK15,sK16) = domain(sK15,sK14,inverse3(sK14,sK15,sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f168,plain,
( range(sK14,sK15,sK16) != domain(sK15,sK14,inverse3(sK14,sK15,sK16))
| spl17_1 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl17_2
<=> domain(sK14,sK15,sK16) = range(sK15,sK14,inverse3(sK14,sK15,sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f172,plain,
( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse3(sK14,sK15,sK16))
| spl17_2 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(avatar_split_clause,[],[f153,f170,f166]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f146,f152]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f178,f152]) ).
fof(f181,plain,
domain(sK14,sK15,sK16) = domain_of(sK16),
inference(resolution,[],[f179,f154]) ).
fof(f188,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f148,f152]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f188,f152]) ).
fof(f192,plain,
range(sK14,sK15,sK16) = range_of(sK16),
inference(resolution,[],[f189,f154]) ).
fof(f198,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f110,f152]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| inverse(X2) = inverse3(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f150,f152]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| inverse(X2) = inverse3(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f210,f152]) ).
fof(f213,plain,
inverse3(sK14,sK15,sK16) = inverse(sK16),
inference(resolution,[],[f211,f154]) ).
fof(f229,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f123,f152]) ).
fof(f230,plain,
! [X0,X1] :
( member(sK7(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f229,f152]) ).
fof(f231,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f124,f152]) ).
fof(f232,plain,
! [X0,X1] :
( ~ member(sK7(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f231,f152]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f141,f152]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f233,f152]) ).
fof(f243,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f103,f152]) ).
fof(f244,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f243,f152]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(X0,sK0(X0,X1)),X1)
| ~ member(X0,domain_of(X1)) ),
inference(forward_subsumption_resolution,[],[f85,f152]) ).
fof(f305,plain,
! [X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| member(ordered_pair(sK1(X0,X1),X0),X1)
| ~ member(X0,range_of(X1)) ),
inference(forward_subsumption_resolution,[],[f88,f152]) ).
fof(f340,plain,
! [X3,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f99,f152]) ).
fof(f341,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f340,f152]) ).
fof(f367,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X2,set_type)
| member(X0,domain_of(X1)) ),
inference(forward_subsumption_resolution,[],[f87,f152]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X2),X1)
| ~ ilf_type(X1,binary_relation_type)
| member(X0,domain_of(X1)) ),
inference(forward_subsumption_resolution,[],[f367,f152]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,binary_relation_type)
| ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type)
| member(X0,range_of(X1)) ),
inference(forward_subsumption_resolution,[],[f90,f152]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X1,binary_relation_type)
| member(X0,range_of(X1)) ),
inference(forward_subsumption_resolution,[],[f369,f152]) ).
fof(f400,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X1,X0),X2)
| member(ordered_pair(X0,X1),inverse(X2)) ),
inference(forward_subsumption_resolution,[],[f93,f152]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X0,X1),inverse(X2)) ),
inference(forward_subsumption_resolution,[],[f400,f152]) ).
fof(f402,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| member(ordered_pair(X1,X0),X2)
| ~ member(ordered_pair(X0,X1),inverse(X2)) ),
inference(forward_subsumption_resolution,[],[f94,f152]) ).
fof(f403,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),inverse(X2))
| member(ordered_pair(X1,X0),X2)
| ~ ilf_type(X2,binary_relation_type) ),
inference(forward_subsumption_resolution,[],[f402,f152]) ).
fof(f456,plain,
( domain(sK14,sK15,sK16) != range(sK15,sK14,inverse(sK16))
| spl17_2 ),
inference(forward_demodulation,[],[f172,f213]) ).
fof(f457,plain,
( domain_of(sK16) != range(sK15,sK14,inverse(sK16))
| spl17_2 ),
inference(forward_demodulation,[],[f456,f181]) ).
fof(f564,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f341,f234]) ).
fof(f5678,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f151,f152]) ).
fof(f5679,plain,
! [X2,X0,X1] :
( ilf_type(inverse3(X0,X1,X2),relation_type(X1,X0))
| ~ ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f5678,f152]) ).
fof(f5886,plain,
( ilf_type(inverse(sK16),relation_type(sK15,sK14))
| ~ ilf_type(sK16,relation_type(sK14,sK15)) ),
inference(superposition,[],[f5679,f213]) ).
fof(f5897,plain,
ilf_type(inverse(sK16),relation_type(sK15,sK14)),
inference(forward_subsumption_resolution,[],[f5886,f154]) ).
fof(f5899,plain,
range(sK15,sK14,inverse(sK16)) = range_of(inverse(sK16)),
inference(resolution,[],[f5897,f189]) ).
fof(f5900,plain,
domain(sK15,sK14,inverse(sK16)) = domain_of(inverse(sK16)),
inference(resolution,[],[f5897,f179]) ).
fof(f5906,plain,
( domain_of(sK16) != range_of(inverse(sK16))
| spl17_2 ),
inference(superposition,[],[f457,f5899]) ).
fof(f9986,plain,
relation_like(inverse(sK16)),
inference(resolution,[],[f564,f5897]) ).
fof(f10004,plain,
relation_like(sK16),
inference(resolution,[],[f564,f154]) ).
fof(f11855,definition,
( spl17_868
<=> ilf_type(sK16,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl17_868])],[avatar_definition]) ).
fof(f11856,plain,
( ilf_type(sK16,binary_relation_type)
| ~ spl17_868 ),
inference(avatar_component_clause,[],[f11855]) ).
fof(f11857,plain,
( ~ ilf_type(sK16,binary_relation_type)
| spl17_868 ),
inference(avatar_component_clause,[],[f11855]) ).
fof(f11859,plain,
( ~ relation_like(sK16)
| spl17_868 ),
inference(resolution,[],[f11857,f198]) ).
fof(f11860,plain,
( $false
| spl17_868 ),
inference(forward_subsumption_resolution,[],[f11859,f10004]) ).
fof(f11861,plain,
spl17_868,
inference(avatar_contradiction_clause,[],[f11860]) ).
fof(f11862,plain,
( ! [X0] :
( member(ordered_pair(sK1(X0,sK16),X0),sK16)
| ~ member(X0,range_of(sK16)) )
| ~ spl17_868 ),
inference(resolution,[],[f11856,f305]) ).
fof(f11863,plain,
( ! [X0] :
( member(ordered_pair(X0,sK0(X0,sK16)),sK16)
| ~ member(X0,domain_of(sK16)) )
| ~ spl17_868 ),
inference(resolution,[],[f11856,f301]) ).
fof(f11872,plain,
( ! [X0] :
( ~ member(X0,range_of(sK16))
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(X0,sK1(X0,sK16)),inverse(sK16)) )
| ~ spl17_868 ),
inference(resolution,[],[f11862,f401]) ).
fof(f11876,plain,
( ! [X0] :
( member(ordered_pair(X0,sK1(X0,sK16)),inverse(sK16))
| ~ member(X0,range_of(sK16)) )
| ~ spl17_868 ),
inference(forward_subsumption_resolution,[],[f11872,f11856]) ).
fof(f11886,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK16))
| ~ ilf_type(sK16,binary_relation_type)
| member(ordered_pair(sK0(X0,sK16),X0),inverse(sK16)) )
| ~ spl17_868 ),
inference(resolution,[],[f11863,f401]) ).
fof(f11890,plain,
( ! [X0] :
( member(ordered_pair(sK0(X0,sK16),X0),inverse(sK16))
| ~ member(X0,domain_of(sK16)) )
| ~ spl17_868 ),
inference(forward_subsumption_resolution,[],[f11886,f11856]) ).
fof(f11899,plain,
( ! [X0] :
( ~ member(X0,range_of(sK16))
| ~ ilf_type(inverse(sK16),binary_relation_type)
| member(X0,domain_of(inverse(sK16))) )
| ~ spl17_868 ),
inference(resolution,[],[f11876,f368]) ).
fof(f11901,definition,
( spl17_870
<=> ilf_type(inverse(sK16),binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl17_870])],[avatar_definition]) ).
fof(f11902,plain,
( ilf_type(inverse(sK16),binary_relation_type)
| ~ spl17_870 ),
inference(avatar_component_clause,[],[f11901]) ).
fof(f11903,plain,
( ~ ilf_type(inverse(sK16),binary_relation_type)
| spl17_870 ),
inference(avatar_component_clause,[],[f11901]) ).
fof(f11905,definition,
( spl17_871
<=> ! [X0] :
( ~ member(X0,range_of(sK16))
| member(X0,domain_of(inverse(sK16))) ) ),
introduced(definition,[new_symbols(definition,[spl17_871])],[avatar_definition]) ).
fof(f11906,plain,
( ! [X0] :
( member(X0,domain_of(inverse(sK16)))
| ~ member(X0,range_of(sK16)) )
| ~ spl17_871 ),
inference(avatar_component_clause,[],[f11905]) ).
fof(f11907,plain,
( ~ spl17_870
| spl17_871
| ~ spl17_868 ),
inference(avatar_split_clause,[],[f11899,f11855,f11905,f11901]) ).
fof(f11918,plain,
( ~ relation_like(inverse(sK16))
| spl17_870 ),
inference(resolution,[],[f11903,f198]) ).
fof(f11919,plain,
( $false
| spl17_870 ),
inference(forward_subsumption_resolution,[],[f11918,f9986]) ).
fof(f11920,plain,
spl17_870,
inference(avatar_contradiction_clause,[],[f11919]) ).
fof(f11923,plain,
( ! [X0] :
( member(ordered_pair(sK1(X0,inverse(sK16)),X0),inverse(sK16))
| ~ member(X0,range_of(inverse(sK16))) )
| ~ spl17_870 ),
inference(resolution,[],[f11902,f305]) ).
fof(f11924,plain,
( ! [X0] :
( member(ordered_pair(X0,sK0(X0,inverse(sK16))),inverse(sK16))
| ~ member(X0,domain_of(inverse(sK16))) )
| ~ spl17_870 ),
inference(resolution,[],[f11902,f301]) ).
fof(f11932,plain,
( ! [X0] :
( ~ member(sK7(X0,domain_of(inverse(sK16))),range_of(sK16))
| subset(X0,domain_of(inverse(sK16))) )
| ~ spl17_871 ),
inference(resolution,[],[f11906,f232]) ).
fof(f11970,plain,
( ! [X0] :
( ~ member(X0,domain_of(sK16))
| ~ ilf_type(inverse(sK16),binary_relation_type)
| member(X0,range_of(inverse(sK16))) )
| ~ spl17_868 ),
inference(resolution,[],[f11890,f370]) ).
fof(f11973,plain,
( ! [X0] :
( member(X0,range_of(inverse(sK16)))
| ~ member(X0,domain_of(sK16)) )
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f11970,f11902]) ).
fof(f11980,plain,
( ! [X0] :
( ~ member(sK7(X0,range_of(inverse(sK16))),domain_of(sK16))
| subset(X0,range_of(inverse(sK16))) )
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f11973,f232]) ).
fof(f12304,plain,
( subset(range_of(sK16),domain_of(inverse(sK16)))
| subset(range_of(sK16),domain_of(inverse(sK16)))
| ~ spl17_871 ),
inference(resolution,[],[f11932,f230]) ).
fof(f12305,plain,
( subset(range_of(sK16),domain_of(inverse(sK16)))
| ~ spl17_871 ),
inference(duplicate_literal_removal,[],[f12304]) ).
fof(f12307,plain,
( ~ subset(domain_of(inverse(sK16)),range_of(sK16))
| range_of(sK16) = domain_of(inverse(sK16))
| ~ spl17_871 ),
inference(resolution,[],[f12305,f244]) ).
fof(f12309,definition,
( spl17_923
<=> range_of(sK16) = domain_of(inverse(sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_923])],[avatar_definition]) ).
fof(f12311,plain,
( range_of(sK16) = domain_of(inverse(sK16))
| ~ spl17_923 ),
inference(avatar_component_clause,[],[f12309]) ).
fof(f12313,definition,
( spl17_924
<=> subset(domain_of(inverse(sK16)),range_of(sK16)) ),
introduced(definition,[new_symbols(definition,[spl17_924])],[avatar_definition]) ).
fof(f12315,plain,
( ~ subset(domain_of(inverse(sK16)),range_of(sK16))
| spl17_924 ),
inference(avatar_component_clause,[],[f12313]) ).
fof(f12316,plain,
( spl17_923
| ~ spl17_924
| ~ spl17_871 ),
inference(avatar_split_clause,[],[f12307,f11905,f12313,f12309]) ).
fof(f12558,plain,
( ! [X0] :
( ~ member(X0,range_of(inverse(sK16)))
| member(ordered_pair(X0,sK1(X0,inverse(sK16))),sK16)
| ~ ilf_type(sK16,binary_relation_type) )
| ~ spl17_870 ),
inference(resolution,[],[f11923,f403]) ).
fof(f12566,plain,
( ! [X0] :
( member(ordered_pair(X0,sK1(X0,inverse(sK16))),sK16)
| ~ member(X0,range_of(inverse(sK16))) )
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f12558,f11856]) ).
fof(f12570,plain,
( ! [X0] :
( ~ member(X0,domain_of(inverse(sK16)))
| member(ordered_pair(sK0(X0,inverse(sK16)),X0),sK16)
| ~ ilf_type(sK16,binary_relation_type) )
| ~ spl17_870 ),
inference(resolution,[],[f11924,f403]) ).
fof(f12578,plain,
( ! [X0] :
( member(ordered_pair(sK0(X0,inverse(sK16)),X0),sK16)
| ~ member(X0,domain_of(inverse(sK16))) )
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f12570,f11856]) ).
fof(f12588,plain,
( subset(domain_of(sK16),range_of(inverse(sK16)))
| subset(domain_of(sK16),range_of(inverse(sK16)))
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f11980,f230]) ).
fof(f12589,plain,
( subset(domain_of(sK16),range_of(inverse(sK16)))
| ~ spl17_868
| ~ spl17_870 ),
inference(duplicate_literal_removal,[],[f12588]) ).
fof(f12591,plain,
( ~ subset(range_of(inverse(sK16)),domain_of(sK16))
| domain_of(sK16) = range_of(inverse(sK16))
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12589,f244]) ).
fof(f12592,plain,
( ~ subset(range_of(inverse(sK16)),domain_of(sK16))
| spl17_2
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f12591,f5906]) ).
fof(f12600,plain,
( ! [X0] :
( ~ member(X0,range_of(inverse(sK16)))
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,domain_of(sK16)) )
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12566,f368]) ).
fof(f12601,plain,
( ! [X0] :
( ~ member(X0,range_of(inverse(sK16)))
| member(X0,domain_of(sK16)) )
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f12600,f11856]) ).
fof(f12614,plain,
( ! [X0] :
( member(sK7(range_of(inverse(sK16)),X0),domain_of(sK16))
| subset(range_of(inverse(sK16)),X0) )
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12601,f230]) ).
fof(f12638,plain,
( ! [X0] :
( ~ member(X0,domain_of(inverse(sK16)))
| ~ ilf_type(sK16,binary_relation_type)
| member(X0,range_of(sK16)) )
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12578,f370]) ).
fof(f12640,plain,
( ! [X0] :
( ~ member(X0,domain_of(inverse(sK16)))
| member(X0,range_of(sK16)) )
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f12638,f11856]) ).
fof(f12653,plain,
( ! [X0] :
( member(sK7(domain_of(inverse(sK16)),X0),range_of(sK16))
| subset(domain_of(inverse(sK16)),X0) )
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12640,f230]) ).
fof(f12784,plain,
( subset(range_of(inverse(sK16)),domain_of(sK16))
| subset(range_of(inverse(sK16)),domain_of(sK16))
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12614,f232]) ).
fof(f12786,plain,
( subset(range_of(inverse(sK16)),domain_of(sK16))
| ~ spl17_868
| ~ spl17_870 ),
inference(duplicate_literal_removal,[],[f12784]) ).
fof(f12788,plain,
( $false
| spl17_2
| ~ spl17_868
| ~ spl17_870 ),
inference(forward_subsumption_resolution,[],[f12786,f12592]) ).
fof(f12789,plain,
( spl17_2
| ~ spl17_868
| ~ spl17_870 ),
inference(avatar_contradiction_clause,[],[f12788]) ).
fof(f12790,plain,
( range(sK14,sK15,sK16) != domain(sK15,sK14,inverse(sK16))
| spl17_1 ),
inference(forward_demodulation,[],[f168,f213]) ).
fof(f12810,plain,
( range(sK14,sK15,sK16) != domain_of(inverse(sK16))
| spl17_1 ),
inference(forward_demodulation,[],[f12790,f5900]) ).
fof(f12816,plain,
( range_of(sK16) != domain_of(inverse(sK16))
| spl17_1 ),
inference(forward_demodulation,[],[f12810,f192]) ).
fof(f12870,plain,
( subset(domain_of(inverse(sK16)),range_of(sK16))
| subset(domain_of(inverse(sK16)),range_of(sK16))
| ~ spl17_868
| ~ spl17_870 ),
inference(resolution,[],[f12653,f232]) ).
fof(f12872,plain,
( subset(domain_of(inverse(sK16)),range_of(sK16))
| ~ spl17_868
| ~ spl17_870 ),
inference(duplicate_literal_removal,[],[f12870]) ).
fof(f12874,plain,
( $false
| ~ spl17_868
| ~ spl17_870
| spl17_924 ),
inference(forward_subsumption_resolution,[],[f12872,f12315]) ).
fof(f12875,plain,
( ~ spl17_868
| ~ spl17_870
| spl17_924 ),
inference(avatar_contradiction_clause,[],[f12874]) ).
fof(f12876,plain,
( $false
| spl17_1
| ~ spl17_923 ),
inference(forward_subsumption_resolution,[],[f12311,f12816]) ).
fof(f12877,plain,
( spl17_1
| ~ spl17_923 ),
inference(avatar_contradiction_clause,[],[f12876]) ).
cnf(s1,plain,
( ~ spl17_1
| ~ spl17_2 ),
inference(sat_conversion,[],[f173]) ).
cnf(s817,plain,
spl17_868,
inference(sat_conversion,[],[f11861]) ).
cnf(s819,plain,
( ~ spl17_868
| ~ spl17_870
| spl17_871 ),
inference(sat_conversion,[],[f11907]) ).
cnf(s823,plain,
spl17_870,
inference(sat_conversion,[],[f11920]) ).
cnf(s863,plain,
( ~ spl17_871
| spl17_923
| ~ spl17_924 ),
inference(sat_conversion,[],[f12316]) ).
cnf(s894,plain,
( spl17_2
| ~ spl17_868
| ~ spl17_870 ),
inference(sat_conversion,[],[f12789]) ).
cnf(s904,plain,
( ~ spl17_868
| ~ spl17_870
| spl17_924 ),
inference(sat_conversion,[],[f12875]) ).
cnf(s905,plain,
( spl17_1
| ~ spl17_923 ),
inference(sat_conversion,[],[f12877]) ).
cnf(s911,plain,
( ~ spl17_868
| spl17_871 ),
inference(rat,[],[s819,s823]) ).
cnf(s912,plain,
spl17_924,
inference(rat,[],[s904,s823,s817]) ).
cnf(s913,plain,
spl17_2,
inference(rat,[],[s894,s823,s817]) ).
cnf(s916,plain,
spl17_871,
inference(rat,[],[s911,s817]) ).
cnf(s917,plain,
spl17_923,
inference(rat,[],[s863,s912,s916]) ).
cnf(s918,plain,
spl17_1,
inference(rat,[],[s905,s917]) ).
cnf(s920,plain,
$false,
inference(rat,[],[s1,s913,s918]) ).
fof(f12878,plain,
$false,
inference(avatar_sat_refutation,[],[s920]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET661+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 02:32:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 1.87/0.89 % (2206118)Will run a generic schedule for satisfiability detection.
% 1.87/0.89 % (2206123)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3392588384_2999 on theBenchmark for (2999ds/0Mi)
% 1.87/0.89 % (2206124)% WARNING: option uhcvi not known.
% 1.87/0.89 % TRYING [1]
% 1.87/0.89 % TRYING [2]
% 1.87/0.89 % (2206124)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3379565351:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.87/0.89 % (2206125)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3309073950:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.87/0.89 % (2206126)dis+10_1_sil=32000:sp=arity:random_seed=126397063:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.87/0.89 % (2206127)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2237769844:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.87/0.89 % (2206128)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3892145798:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.87/0.89 % (2206129)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3271539054:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.87/0.89 % TRYING [3]
% 1.87/0.89 % TRYING [4]
% 1.87/0.89 % (2206127)Instruction limit reached!
% 1.87/0.89 % (2206127)------------------------------
% 1.87/0.89 % (2206127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (2206127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (2206127)CaDiCaL version: 2.1.3
% 1.87/0.89 % (2206127)Termination reason: Instruction limit
% 1.87/0.89 % (2206127)Termination phase: Saturation
% 1.87/0.89 % (2206127)Time elapsed: 0.069 s
% 1.87/0.89 % (2206127)Peak memory usage: 12 MB
% 1.87/0.89 % (2206127)Instructions burned: 117 (million)
% 1.87/0.89 % (2206126)Instruction limit reached!
% 1.87/0.89 % (2206126)------------------------------
% 1.87/0.89 % (2206126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (2206126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (2206126)CaDiCaL version: 2.1.3
% 1.87/0.89 % (2206126)Termination reason: Instruction limit
% 1.87/0.89 % (2206126)Termination phase: Saturation
% 1.87/0.89 % (2206126)Time elapsed: 0.073 s
% 1.87/0.89 % (2206126)Peak memory usage: 13 MB
% 1.87/0.89 % (2206126)Instructions burned: 103 (million)
% 1.87/0.89 % (2206128)Instruction limit reached!
% 1.87/0.89 % (2206128)------------------------------
% 1.87/0.89 % (2206128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (2206128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (2206128)CaDiCaL version: 2.1.3
% 1.87/0.89 % (2206128)Termination reason: Instruction limit
% 1.87/0.89 % (2206128)Termination phase: Saturation
% 1.87/0.89 % (2206128)Time elapsed: 0.082 s
% 1.87/0.89 % (2206128)Peak memory usage: 13 MB
% 1.87/0.89 % (2206128)Instructions burned: 132 (million)
% 1.87/0.89 % (2206141)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2698627954:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.87/0.89 % (2206146)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=4119001550:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.87/0.89 % (2206143)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1067764628:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.87/0.89 % (2206129)Instruction limit reached!
% 1.87/0.89 % (2206129)------------------------------
% 1.87/0.89 % (2206129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (2206129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (2206129)CaDiCaL version: 2.1.3
% 1.87/0.89 % (2206129)Termination reason: Instruction limit
% 1.87/0.89 % (2206129)Termination phase: Saturation
% 1.87/0.89 % (2206129)Time elapsed: 0.108 s
% 1.87/0.89 % (2206129)Peak memory usage: 14 MB
% 1.87/0.89 % (2206129)Instructions burned: 159 (million)
% 1.87/0.89 % TRYING [1]
% 1.87/0.89 % TRYING [2]
% 1.87/0.89 % TRYING [3]
% 1.87/0.89 % (2206163)ott-21_1_sil=16000:fs=off:random_seed=3987704101:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.87/0.89 % (2206143)Instruction limit reached!
% 1.87/0.89 % (2206143)------------------------------
% 1.87/0.89 % (2206143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (2206143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (2206143)CaDiCaL version: 2.1.3
% 1.87/0.89 % (2206143)Termination reason: Instruction limit
% 1.87/0.89 % (2206143)Termination phase: Saturation
% 1.87/0.89 % (2206143)Time elapsed: 0.090 s
% 1.87/0.89 % (2206143)Peak memory usage: 14 MB
% 1.87/0.89 % (2206143)Instructions burned: 132 (million)
% 1.87/0.89 % (2206168)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=711830217:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.87/0.89 % (2206163)Instruction limit reached!
% 1.87/0.89 % (2206163)------------------------------
% 1.87/0.89 % (2206163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.89 % (2206163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/0.89 % (2206163)CaDiCaL version: 2.1.3
% 1.87/0.89 % (2206163)Termination reason: Instruction limit
% 1.87/0.89 % (2206163)Termination phase: Saturation
% 1.87/0.89 % (2206163)Time elapsed: 0.095 s
% 1.87/0.89 % (2206163)Peak memory usage: 13 MB
% 1.87/0.89 % (2206163)Instructions burned: 181 (million)
% 1.87/0.89 % (2206180)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2267879568:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.87/0.89 % TRYING [1]
% 1.87/0.89 % TRYING [2]
% 1.87/0.89 % TRYING [3]
% 1.87/0.89 % TRYING [4]
% 1.87/0.89 % TRYING [4]
% 1.87/0.89 % (2206146) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2206118-2206146"...
% 1.87/0.89 % (2206146)...printing done.
% 1.87/0.89 % (2206146)Refutation found. Thanks to Tanya!
% 1.87/0.89 % SZS status Theorem for theBenchmark
% 1.87/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 1.87/0.90 % (2206146)------------------------------
% 1.87/0.90 % (2206146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.87/0.90 % (2206146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.34/0.90 % (2206146)CaDiCaL version: 2.1.3
% 3.34/0.90 % (2206146)Termination reason: Refutation
% 3.34/0.90 % (2206146)Time elapsed: 0.316 s
% 3.34/0.90 % (2206146)Peak memory usage: 18 MB
% 3.34/0.90 % (2206146)Instructions burned: 556 (million)
% 3.34/0.90 % (2206118)Success in time 0.465 s
% 3.34/0.90 % Vampire exiting
%------------------------------------------------------------------------------