%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET156+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 12:40:19 PM UTC 2026
% Result : Theorem 2.18s 1.15s
% Output : Refutation 2.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 106 ( 5 unt; 9 def)
% Number of atoms : 281 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 288 ( 113 ~; 126 |; 30 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 89 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_set) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> equal_set(difference(X2,intersection(X0,X1)),union(difference(X2,X0),difference(X2,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI25) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> equal_set(difference(X2,intersection(X0,X1)),union(difference(X2,X0),difference(X2,X1))) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( ( subset(X0,X1)
& subset(X1,X0) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f15,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X2,intersection(X0,X1)),union(difference(X2,X0),difference(X2,X1)))
& subset(X0,X2)
& subset(X1,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ~ equal_set(difference(X2,intersection(X0,X1)),union(difference(X2,X0),difference(X2,X1)))
& subset(X0,X2)
& subset(X1,X2) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f20,plain,
( ~ equal_set(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1)))
& subset(sK0,sK2)
& subset(sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f22,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) )
& ( ( member(X0,X1)
& member(X0,X2) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( member(X0,union(X1,X2))
| ( ~ member(X0,X1)
& ~ member(X0,X2) ) )
& ( member(X0,X1)
| member(X0,X2)
| ~ member(X0,union(X1,X2)) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) )
& ( ( member(X0,X2)
& ~ member(X0,X1) )
| ~ member(X0,difference(X2,X1)) ) ),
inference(flattening,[],[f29]) ).
fof(f33,plain,
~ equal_set(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),
inference(cnf_transformation,[],[f20]) ).
fof(f36,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f39,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f44,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f45,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f48,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f54,plain,
( ~ subset(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1)))
| ~ subset(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))) ),
inference(resolution,[],[f36,f33]) ).
fof(f56,definition,
( spl4_1
<=> subset(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f57,plain,
( ~ subset(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1)))
| spl4_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl4_2
<=> subset(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f60,plain,
( ~ subset(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1)))
| spl4_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f54,f59,f56]) ).
fof(f76,definition,
( spl4_3
<=> member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f77,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,sK0))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl4_4
<=> member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f80,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,sK1))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),union(difference(sK2,sK0),difference(sK2,sK1)))
| spl4_2 ),
inference(resolution,[],[f60,f39]) ).
fof(f83,plain,
( member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,intersection(sK0,sK1)))
| spl4_2 ),
inference(resolution,[],[f60,f38]) ).
fof(f85,plain,
( member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK2)
| spl4_2 ),
inference(resolution,[],[f83,f47]) ).
fof(f86,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),intersection(sK0,sK1))
| spl4_2 ),
inference(resolution,[],[f83,f46]) ).
fof(f87,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK0))
| spl4_2 ),
inference(resolution,[],[f82,f45]) ).
fof(f88,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),difference(sK2,sK1))
| spl4_2 ),
inference(resolution,[],[f82,f44]) ).
fof(f89,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK0)
| ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK1)
| spl4_2 ),
inference(resolution,[],[f86,f42]) ).
fof(f91,definition,
( spl4_5
<=> member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f94,definition,
( spl4_6
<=> member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f96,plain,
( ~ spl4_5
| ~ spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f89,f59,f94,f91]) ).
fof(f99,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK2)
| member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK0)
| spl4_2 ),
inference(resolution,[],[f48,f87]) ).
fof(f100,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK2)
| member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK1)
| spl4_2 ),
inference(resolution,[],[f48,f88]) ).
fof(f103,definition,
( spl4_7
<=> member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f104,plain,
( ~ member(sK3(difference(sK2,intersection(sK0,sK1)),union(difference(sK2,sK0),difference(sK2,sK1))),sK2)
| spl4_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f105,plain,
( spl4_5
| ~ spl4_7
| spl4_2 ),
inference(avatar_split_clause,[],[f100,f59,f103,f91]) ).
fof(f107,plain,
( spl4_6
| ~ spl4_7
| spl4_2 ),
inference(avatar_split_clause,[],[f99,f59,f103,f94]) ).
fof(f108,plain,
( $false
| spl4_2
| spl4_7 ),
inference(resolution,[],[f104,f85]) ).
fof(f109,plain,
( spl4_2
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f110,plain,
( ~ member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,intersection(sK0,sK1)))
| spl4_1 ),
inference(resolution,[],[f57,f39]) ).
fof(f111,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),union(difference(sK2,sK0),difference(sK2,sK1)))
| spl4_1 ),
inference(resolution,[],[f57,f38]) ).
fof(f113,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK2)
| ~ spl4_3 ),
inference(resolution,[],[f77,f47]) ).
fof(f114,plain,
( ~ member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK0)
| ~ spl4_3 ),
inference(resolution,[],[f77,f46]) ).
fof(f115,plain,
( ~ member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK2)
| member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),intersection(sK0,sK1))
| spl4_1 ),
inference(resolution,[],[f110,f48]) ).
fof(f117,definition,
( spl4_8
<=> member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),intersection(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f118,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),intersection(sK0,sK1))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl4_9
<=> member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f121,plain,
( ~ member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK2)
| spl4_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( spl4_8
| ~ spl4_9
| spl4_1 ),
inference(avatar_split_clause,[],[f115,f56,f120,f117]) ).
fof(f123,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,sK1))
| member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),difference(sK2,sK0))
| spl4_1 ),
inference(resolution,[],[f111,f43]) ).
fof(f124,plain,
( $false
| ~ spl4_3
| spl4_9 ),
inference(resolution,[],[f113,f121]) ).
fof(f125,plain,
( ~ spl4_3
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f124]) ).
fof(f126,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK0)
| ~ spl4_8 ),
inference(resolution,[],[f118,f41]) ).
fof(f127,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK1)
| ~ spl4_8 ),
inference(resolution,[],[f118,f40]) ).
fof(f128,plain,
( $false
| ~ spl4_3
| ~ spl4_8 ),
inference(resolution,[],[f126,f114]) ).
fof(f130,plain,
( ~ spl4_3
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f131,plain,
( spl4_3
| spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f123,f56,f79,f76]) ).
fof(f133,plain,
( member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK2)
| ~ spl4_4 ),
inference(resolution,[],[f80,f47]) ).
fof(f134,plain,
( ~ member(sK3(union(difference(sK2,sK0),difference(sK2,sK1)),difference(sK2,intersection(sK0,sK1))),sK1)
| ~ spl4_4 ),
inference(resolution,[],[f80,f46]) ).
fof(f135,plain,
( $false
| ~ spl4_4
| ~ spl4_8 ),
inference(resolution,[],[f134,f127]) ).
fof(f136,plain,
( ~ spl4_4
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f137,plain,
( $false
| ~ spl4_4
| spl4_9 ),
inference(resolution,[],[f121,f133]) ).
fof(f138,plain,
( ~ spl4_4
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f137]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s3,plain,
( spl4_2
| ~ spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f96]) ).
cnf(s4,plain,
( spl4_2
| spl4_5
| ~ spl4_7 ),
inference(sat_conversion,[],[f105]) ).
cnf(s5,plain,
( spl4_2
| spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f107]) ).
cnf(s6,plain,
( spl4_2
| spl4_7 ),
inference(sat_conversion,[],[f109]) ).
cnf(s7,plain,
( spl4_1
| spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f122]) ).
cnf(s8,plain,
( ~ spl4_3
| spl4_9 ),
inference(sat_conversion,[],[f125]) ).
cnf(s9,plain,
( ~ spl4_3
| ~ spl4_8 ),
inference(sat_conversion,[],[f130]) ).
cnf(s10,plain,
( spl4_1
| spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
( ~ spl4_4
| ~ spl4_8 ),
inference(sat_conversion,[],[f136]) ).
cnf(s12,plain,
( ~ spl4_4
| spl4_9 ),
inference(sat_conversion,[],[f138]) ).
cnf(s13,plain,
( spl4_2
| ~ spl4_7 ),
inference(rat,[],[s3,s4,s5]) ).
cnf(s14,plain,
spl4_2,
inference(rat,[],[s13,s6]) ).
cnf(s15,plain,
( ~ spl4_4
| spl4_1 ),
inference(rat,[],[s7,s11,s12]) ).
cnf(s16,plain,
( spl4_4
| spl4_1 ),
inference(rat,[],[s7,s8,s9,s10]) ).
cnf(s17,plain,
spl4_1,
inference(rat,[],[s16,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s1,s14,s17]) ).
fof(f139,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET156+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n020.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 00:56:51 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.18/1.15 % (3932665)Detected formulas, will run a generic FOF schedule.
% 2.18/1.15 % (3932676)dis-21_1_sil=8000:lcm=predicate:random_seed=1346480264:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.18/1.15 % (3932676)First to succeed.
% 2.18/1.15 % (3932676)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3932665"
% 2.18/1.15 % (3932670)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=456434151:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.18/1.15 % (3932674)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=115234521:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.18/1.15 % (3932671)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2298540835:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.18/1.15 % (3932672)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=601424532:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.18/1.15 % (3932673)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1721178562:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.18/1.15 % (3932675)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1422383631:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.18/1.15 % (3932673)Refutation not found, incomplete strategy
% 2.18/1.15 % (3932673)------------------------------
% 2.18/1.15 % (3932673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/1.15 % (3932673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/1.15 % (3932673)CaDiCaL version: 2.1.3
% 2.18/1.15 % (3932673)Termination reason: Refutation not found, incomplete strategy
% 2.18/1.15 % (3932673)Time elapsed: 0.001 s
% 2.18/1.15 % (3932673)Peak memory usage: 88 MB
% 2.18/1.15 % (3932673)Instructions burned: 1 (million)
% 2.18/1.15 % (3932675)Also succeeded, but the first one will report.
% 2.18/1.15 % (3932674)Instruction limit reached!
% 2.18/1.15 % (3932674)------------------------------
% 2.18/1.15 % (3932674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.18/1.15 % (3932674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/1.15 % (3932674)CaDiCaL version: 2.1.3
% 2.18/1.15 % (3932674)Termination reason: Instruction limit
% 2.18/1.15 % (3932674)Termination phase: Saturation
% 2.18/1.15 % (3932674)Time elapsed: 0.070 s
% 2.18/1.15 % (3932674)Peak memory usage: 89 MB
% 2.18/1.15 % (3932674)Instructions burned: 119 (million)
% 2.18/1.15 % (3932676)Refutation found. Thanks to Tanya!
% 2.18/1.15 % SZS status Theorem for theBenchmark
% 2.18/1.15 % SZS output start Proof for theBenchmark
% See solution above
% 2.53/1.34 % (3932676)------------------------------
% 2.53/1.34 % (3932676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.53/1.34 % (3932676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/1.34 % (3932676)CaDiCaL version: 2.1.3
% 2.53/1.34 % (3932676)Termination reason: Refutation
% 2.53/1.34 % (3932676)Time elapsed: 0.003 s
% 2.53/1.34 % (3932676)Peak memory usage: 89 MB
% 2.53/1.34 % (3932676)Instructions burned: 5 (million)
% 2.53/1.34 % (3932676)------------------------------
% 2.53/1.34 % (3932676)------------------------------
% 2.53/1.34 % (3932665)Success in time 0.273 s
% 2.53/1.34 % Vampire exiting
%------------------------------------------------------------------------------