%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET667+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:44:22 PM UTC 2026
% Result : Theorem 0.69s 0.46s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 108 ( 15 unt; 5 def)
% Number of atoms : 329 ( 12 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 375 ( 154 ~; 156 |; 19 &)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 167 ( 0 sgn 159 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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),X2)
=> ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
<=> member(ordered_pair(X1,X1),identity_relation_of(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f5,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',p5) ).
fof(f7,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',p7) ).
fof(f13,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',p13) ).
fof(f24,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',p24) ).
fof(f27,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',p27) ).
fof(f29,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',p29) ).
fof(f31,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f32,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X0,X1,X3))
& subset(X2,range(X0,X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_30) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ( subset(identity_relation_of(X2),X3)
=> ( subset(X2,domain(X0,X1,X3))
& subset(X2,range(X0,X1,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f32]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X0,domain_of(X2))
& member(X1,range_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( member(X1,X0)
<=> member(ordered_pair(X1,X1),identity_relation_of(X0)) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f39,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,[],[f5]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f7]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f41]) ).
fof(f49,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f63,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,[],[f24]) ).
fof(f67,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,[],[f27]) ).
fof(f69,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,[],[f29]) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ subset(X2,domain(X0,X1,X3))
| ~ subset(X2,range(X0,X1,X3)) )
& subset(identity_relation_of(X2),X3)
& ilf_type(X3,relation_type(X0,X1)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ subset(X2,domain(X0,X1,X3))
| ~ subset(X2,range(X0,X1,X3)) )
& subset(identity_relation_of(X2),X3)
& ilf_type(X3,relation_type(X0,X1)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f74,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X0,domain_of(X2)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f76,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f82,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,[],[f39]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f86,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f87,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f98,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f49]) ).
fof(f120,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,[],[f63]) ).
fof(f125,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,[],[f67]) ).
fof(f127,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,[],[f69]) ).
fof(f129,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f31]) ).
fof(f130,plain,
( ~ subset(sK14,range(sK12,sK13,sK15))
| ~ subset(sK14,domain(sK12,sK13,sK15)) ),
inference(cnf_transformation,[],[f72]) ).
fof(f131,plain,
ilf_type(sK15,relation_type(sK12,sK13)),
inference(cnf_transformation,[],[f72]) ).
fof(f132,plain,
subset(identity_relation_of(sK14),sK15),
inference(cnf_transformation,[],[f72]) ).
fof(f139,definition,
( spl16_1
<=> subset(sK14,domain(sK12,sK13,sK15)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f141,plain,
( ~ subset(sK14,domain(sK12,sK13,sK15))
| spl16_1 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f143,definition,
( spl16_2
<=> subset(sK14,range(sK12,sK13,sK15)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f145,plain,
( ~ subset(sK14,range(sK12,sK13,sK15))
| spl16_2 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f130,f143,f139]) ).
fof(f152,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f86,f129]) ).
fof(f153,plain,
! [X0,X1] :
( member(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f152,f129]) ).
fof(f157,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(forward_subsumption_resolution,[],[f98,f129]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f87,f129]) ).
fof(f162,plain,
! [X0,X1] :
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f161,f129]) ).
fof(f168,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ member(X1,X0) ),
inference(forward_subsumption_resolution,[],[f76,f129]) ).
fof(f169,plain,
! [X0,X1] :
( member(ordered_pair(X1,X1),identity_relation_of(X0))
| ~ member(X1,X0) ),
inference(forward_subsumption_resolution,[],[f168,f129]) ).
fof(f178,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,[],[f120,f129]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ),
inference(forward_subsumption_resolution,[],[f178,f129]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X1,range_of(X2)) ),
inference(forward_subsumption_resolution,[],[f73,f129]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X1,range_of(X2)) ),
inference(forward_subsumption_resolution,[],[f220,f129]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ member(ordered_pair(X0,X1),X2)
| member(X0,domain_of(X2)) ),
inference(forward_subsumption_resolution,[],[f74,f129]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type)
| member(X0,domain_of(X2)) ),
inference(forward_subsumption_resolution,[],[f224,f129]) ).
fof(f1323,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,[],[f82,f129]) ).
fof(f1324,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1323,f129]) ).
fof(f1374,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,relation_type(X1,X2))
| relation_like(X0) ),
inference(resolution,[],[f1324,f179]) ).
fof(f1381,plain,
relation_like(sK15),
inference(resolution,[],[f1374,f131]) ).
fof(f2165,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f84,f129]) ).
fof(f2166,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,set_type)
| ~ member(X2,X0)
| member(X2,X1)
| ~ subset(X0,X1) ),
inference(forward_subsumption_resolution,[],[f2165,f129]) ).
fof(f2167,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| member(X2,X1)
| ~ member(X2,X0) ),
inference(forward_subsumption_resolution,[],[f2166,f129]) ).
fof(f2168,plain,
! [X0] :
( ~ member(X0,identity_relation_of(sK14))
| member(X0,sK15) ),
inference(resolution,[],[f2167,f132]) ).
fof(f2171,plain,
! [X0] :
( member(ordered_pair(X0,X0),sK15)
| ~ member(X0,sK14) ),
inference(resolution,[],[f2168,f169]) ).
fof(f2374,plain,
! [X0] :
( ~ member(X0,sK14)
| ~ ilf_type(sK15,binary_relation_type)
| member(X0,domain_of(sK15)) ),
inference(resolution,[],[f2171,f225]) ).
fof(f2375,plain,
! [X0] :
( ~ member(X0,sK14)
| ~ ilf_type(sK15,binary_relation_type)
| member(X0,range_of(sK15)) ),
inference(resolution,[],[f2171,f221]) ).
fof(f2379,definition,
( spl16_14
<=> ilf_type(sK15,binary_relation_type) ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f2381,plain,
( ~ ilf_type(sK15,binary_relation_type)
| spl16_14 ),
inference(avatar_component_clause,[],[f2379]) ).
fof(f2383,definition,
( spl16_15
<=> ! [X0] :
( ~ member(X0,sK14)
| member(X0,range_of(sK15)) ) ),
introduced(definition,[new_symbols(definition,[spl16_15])],[avatar_definition]) ).
fof(f2384,plain,
( ! [X0] :
( member(X0,range_of(sK15))
| ~ member(X0,sK14) )
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f2383]) ).
fof(f2385,plain,
( ~ spl16_14
| spl16_15 ),
inference(avatar_split_clause,[],[f2375,f2383,f2379]) ).
fof(f2387,definition,
( spl16_16
<=> ! [X0] :
( ~ member(X0,sK14)
| member(X0,domain_of(sK15)) ) ),
introduced(definition,[new_symbols(definition,[spl16_16])],[avatar_definition]) ).
fof(f2388,plain,
( ! [X0] :
( member(X0,domain_of(sK15))
| ~ member(X0,sK14) )
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f2387]) ).
fof(f2389,plain,
( ~ spl16_14
| spl16_16 ),
inference(avatar_split_clause,[],[f2374,f2387,f2379]) ).
fof(f2399,plain,
( ! [X0] :
( ~ member(sK1(X0,range_of(sK15)),sK14)
| subset(X0,range_of(sK15)) )
| ~ spl16_15 ),
inference(resolution,[],[f2384,f162]) ).
fof(f2424,plain,
( ! [X0] :
( ~ member(sK1(X0,domain_of(sK15)),sK14)
| subset(X0,domain_of(sK15)) )
| ~ spl16_16 ),
inference(resolution,[],[f2388,f162]) ).
fof(f2561,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,[],[f125,f129]) ).
fof(f2562,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| domain_of(X2) = domain(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f2561,f129]) ).
fof(f2594,plain,
( subset(sK14,range_of(sK15))
| subset(sK14,range_of(sK15))
| ~ spl16_15 ),
inference(resolution,[],[f2399,f153]) ).
fof(f2597,plain,
( subset(sK14,range_of(sK15))
| ~ spl16_15 ),
inference(duplicate_literal_removal,[],[f2594]) ).
fof(f3086,plain,
domain(sK12,sK13,sK15) = domain_of(sK15),
inference(resolution,[],[f2562,f131]) ).
fof(f3130,plain,
( subset(sK14,domain_of(sK15))
| subset(sK14,domain_of(sK15))
| ~ spl16_16 ),
inference(resolution,[],[f2424,f153]) ).
fof(f3133,plain,
( subset(sK14,domain_of(sK15))
| ~ spl16_16 ),
inference(duplicate_literal_removal,[],[f3130]) ).
fof(f3914,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,[],[f127,f129]) ).
fof(f3915,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f3914,f129]) ).
fof(f4037,plain,
range(sK12,sK13,sK15) = range_of(sK15),
inference(resolution,[],[f3915,f131]) ).
fof(f4038,plain,
( ~ subset(sK14,range_of(sK15))
| spl16_2 ),
inference(superposition,[],[f145,f4037]) ).
fof(f4039,plain,
( $false
| spl16_2
| ~ spl16_15 ),
inference(forward_subsumption_resolution,[],[f4038,f2597]) ).
fof(f4040,plain,
( spl16_2
| ~ spl16_15 ),
inference(avatar_contradiction_clause,[],[f4039]) ).
fof(f4041,plain,
( ~ relation_like(sK15)
| spl16_14 ),
inference(resolution,[],[f2381,f157]) ).
fof(f4042,plain,
( $false
| spl16_14 ),
inference(forward_subsumption_resolution,[],[f4041,f1381]) ).
fof(f4043,plain,
spl16_14,
inference(avatar_contradiction_clause,[],[f4042]) ).
fof(f4044,plain,
( ~ subset(sK14,domain_of(sK15))
| spl16_1 ),
inference(forward_demodulation,[],[f141,f3086]) ).
fof(f4046,plain,
( $false
| spl16_1
| ~ spl16_16 ),
inference(forward_subsumption_resolution,[],[f4044,f3133]) ).
fof(f4047,plain,
( spl16_1
| ~ spl16_16 ),
inference(avatar_contradiction_clause,[],[f4046]) ).
cnf(s1,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f146]) ).
cnf(s8,plain,
( ~ spl16_14
| spl16_15 ),
inference(sat_conversion,[],[f2385]) ).
cnf(s9,plain,
( ~ spl16_14
| spl16_16 ),
inference(sat_conversion,[],[f2389]) ).
cnf(s131,plain,
( spl16_2
| ~ spl16_15 ),
inference(sat_conversion,[],[f4040]) ).
cnf(s132,plain,
spl16_14,
inference(sat_conversion,[],[f4043]) ).
cnf(s133,plain,
( spl16_1
| ~ spl16_16 ),
inference(sat_conversion,[],[f4047]) ).
cnf(s134,plain,
spl16_16,
inference(rat,[],[s9,s132]) ).
cnf(s135,plain,
spl16_1,
inference(rat,[],[s133,s134]) ).
cnf(s136,plain,
spl16_15,
inference(rat,[],[s8,s132]) ).
cnf(s137,plain,
spl16_2,
inference(rat,[],[s131,s136]) ).
cnf(s138,plain,
$false,
inference(rat,[],[s1,s137,s135]) ).
fof(f4048,plain,
$false,
inference(avatar_sat_refutation,[],[s138]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET667+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.02/0.30 % Computer : n012.cluster.edu
% 0.02/0.30 % Model : x86_64 x86_64
% 0.02/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30 % Memory : 8046.5625MB
% 0.02/0.30 % OS : Linux 6.8.0-71-generic
% 0.02/0.30 % CPULimit : 300
% 0.02/0.30 % WCLimit : 300
% 0.02/0.30 % DateTime : Mon Sep 28 02:28:49 UTC 2026
% 0.02/0.30 % CPUTime :
% 0.02/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.02/0.32 Running first-order model finding
% 0.02/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.69/0.46 % (2954078)Will run a generic schedule for satisfiability detection.
% 0.69/0.46 % (2954084)% WARNING: option uhcvi not known.
% 0.69/0.46 % (2954085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4026013365:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.69/0.46 % (2954084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=545044037:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.69/0.46 % (2954087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3560980225:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.69/0.46 % (2954083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2713026540_2999 on theBenchmark for (2999ds/0Mi)
% 0.69/0.46 % (2954086)dis+10_1_sil=32000:sp=arity:random_seed=3306842621:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.69/0.46 % (2954088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3123939501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.69/0.46 % (2954089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2467914891:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.69/0.46 % TRYING [1]
% 0.69/0.46 % TRYING [2]
% 0.69/0.46 % TRYING [3]
% 0.69/0.46 % TRYING [4]
% 0.69/0.46 % (2954086)Instruction limit reached!
% 0.69/0.46 % (2954086)------------------------------
% 0.69/0.46 % (2954086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (2954086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (2954086)CaDiCaL version: 2.1.3
% 0.69/0.46 % (2954086)Termination reason: Instruction limit
% 0.69/0.46 % (2954086)Termination phase: Saturation
% 0.69/0.46 % (2954086)Time elapsed: 0.038 s
% 0.69/0.46 % (2954086)Peak memory usage: 13 MB
% 0.69/0.46 % (2954086)Instructions burned: 106 (million)
% 0.69/0.46 % (2954087)Instruction limit reached!
% 0.69/0.46 % (2954087)------------------------------
% 0.69/0.46 % (2954087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (2954087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (2954087)CaDiCaL version: 2.1.3
% 0.69/0.46 % (2954087)Termination reason: Instruction limit
% 0.69/0.46 % (2954087)Termination phase: Saturation
% 0.69/0.46 % (2954087)Time elapsed: 0.039 s
% 0.69/0.46 % (2954087)Peak memory usage: 12 MB
% 0.69/0.46 % (2954087)Instructions burned: 118 (million)
% 0.69/0.46 % (2954097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2881408502:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.69/0.46 % (2954088)Instruction limit reached!
% 0.69/0.46 % (2954088)------------------------------
% 0.69/0.46 % (2954088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (2954098)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1132707905:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.69/0.46 % (2954088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (2954088)CaDiCaL version: 2.1.3
% 0.69/0.46 % (2954088)Termination reason: Instruction limit
% 0.69/0.46 % (2954088)Termination phase: Saturation
% 0.69/0.46 % (2954088)Time elapsed: 0.050 s
% 0.69/0.46 % (2954088)Peak memory usage: 13 MB
% 0.69/0.46 % (2954088)Instructions burned: 133 (million)
% 0.69/0.46 % TRYING [1]
% 0.69/0.46 % TRYING [2]
% 0.69/0.46 % TRYING [3]
% 0.69/0.46 % (2954089)Instruction limit reached!
% 0.69/0.46 % (2954089)------------------------------
% 0.69/0.46 % (2954089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (2954089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (2954089)CaDiCaL version: 2.1.3
% 0.69/0.46 % (2954089)Termination reason: Instruction limit
% 0.69/0.46 % (2954089)Termination phase: Saturation
% 0.69/0.46 % (2954089)Time elapsed: 0.058 s
% 0.69/0.46 % (2954089)Peak memory usage: 14 MB
% 0.69/0.46 % (2954089)Instructions burned: 160 (million)
% 0.69/0.46 % (2954101)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=221030628:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.69/0.46 % (2954102)ott-21_1_sil=16000:fs=off:random_seed=2214654964:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.69/0.46 % TRYING [4]
% 0.69/0.46 % (2954098)Instruction limit reached!
% 0.69/0.46 % (2954098)------------------------------
% 0.69/0.46 % (2954098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (2954098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (2954098)CaDiCaL version: 2.1.3
% 0.69/0.46 % (2954098)Termination reason: Instruction limit
% 0.69/0.46 % (2954098)Termination phase: Saturation
% 0.69/0.46 % (2954098)Time elapsed: 0.050 s
% 0.69/0.46 % (2954098)Peak memory usage: 13 MB
% 0.69/0.46 % (2954098)Instructions burned: 132 (million)
% 0.69/0.46 % (2954101) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2954078-2954101"...
% 0.69/0.46 % (2954101)...printing done.
% 0.69/0.46 % (2954101)Refutation found. Thanks to Tanya!
% 0.69/0.46 % SZS status Theorem for theBenchmark
% 0.69/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.46 % (2954101)------------------------------
% 0.69/0.46 % (2954101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.46 % (2954101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.46 % (2954101)CaDiCaL version: 2.1.3
% 0.69/0.46 % (2954101)Termination reason: Refutation
% 0.69/0.46 % (2954101)Time elapsed: 0.044 s
% 0.69/0.46 % (2954101)Peak memory usage: 15 MB
% 0.69/0.46 % (2954101)Instructions burned: 140 (million)
% 0.69/0.46 % (2954078)Success in time 0.136 s
% 0.69/0.46 % Vampire exiting
%------------------------------------------------------------------------------