%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET156+4 : 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 : 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 12:43:18 PM UTC 2026
% Result : Theorem 4.24s 1.12s
% Output : Refutation 4.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 171 ( 24 unt; 17 def)
% Number of atoms : 409 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 421 ( 183 ~; 186 |; 30 &)
% ( 18 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 114 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
fof(f4,axiom,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).
fof(f5,axiom,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X1)
| member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).
fof(f7,axiom,
! [X0,X1,X2] :
( member(X0,difference(X2,X1))
<=> ( member(X0,X2)
& ~ member(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',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/sandbox/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] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(flattening,[],[f16]) ).
fof(f19,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(f20,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,[],[f19]) ).
fof(f21,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,[],[f15]) ).
fof(f22,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,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f22]) ).
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(f40,plain,
( ~ equal_set(difference(sK5,intersection(sK3,sK4)),union(difference(sK5,sK3),difference(sK5,sK4)))
& subset(sK3,sK5)
& subset(sK4,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f20]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f56,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f70,plain,
~ equal_set(difference(sK5,intersection(sK3,sK4)),union(difference(sK5,sK3),difference(sK5,sK4))),
inference(cnf_transformation,[],[f40]) ).
fof(f74,definition,
sF6 = intersection(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f75,plain,
intersection(sK3,sK4) = sF6,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF7 = difference(sK5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f77,plain,
difference(sK5,sF6) = sF7,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF8 = difference(sK5,sK3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f79,plain,
difference(sK5,sK3) = sF8,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF9 = difference(sK5,sK4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f81,plain,
difference(sK5,sK4) = sF9,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF10 = union(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f83,plain,
union(sF8,sF9) = sF10,
inference(reorient_equations,[],[f82]) ).
fof(f84,plain,
~ equal_set(sF7,sF10),
inference(definition_folding,[],[f70,f83,f81,f79,f77,f75]) ).
fof(f91,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK4) ),
inference(superposition,[],[f47,f75]) ).
fof(f92,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK3) ),
inference(superposition,[],[f48,f75]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f51,f43]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f52,f43]) ).
fof(f97,plain,
! [X0] :
( ~ member(X0,sF7)
| ~ member(X0,sF6) ),
inference(superposition,[],[f54,f77]) ).
fof(f98,plain,
! [X0] :
( ~ member(X0,sF8)
| ~ member(X0,sK3) ),
inference(superposition,[],[f54,f79]) ).
fof(f99,plain,
! [X0] :
( ~ member(X0,sF9)
| ~ member(X0,sK4) ),
inference(superposition,[],[f54,f81]) ).
fof(f100,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK5) ),
inference(superposition,[],[f55,f77]) ).
fof(f101,plain,
! [X0] :
( ~ member(X0,sF8)
| member(X0,sK5) ),
inference(superposition,[],[f55,f79]) ).
fof(f102,plain,
! [X0] :
( ~ member(X0,sF9)
| member(X0,sK5) ),
inference(superposition,[],[f55,f81]) ).
fof(f113,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X0,X1)
| member(sK0(X1,X0),X1) ),
inference(resolution,[],[f44,f42]) ).
fof(f191,plain,
! [X0] :
( ~ member(X0,sK4)
| ~ member(X0,sK3)
| member(X0,sF6) ),
inference(superposition,[],[f49,f75]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF9)
| member(X0,sF8) ),
inference(superposition,[],[f50,f83]) ).
fof(f204,plain,
! [X0] :
( ~ member(X0,sK5)
| member(X0,sF7)
| member(X0,sF6) ),
inference(superposition,[],[f56,f77]) ).
fof(f205,plain,
! [X0] :
( ~ member(X0,sK5)
| member(X0,sF8)
| member(X0,sK3) ),
inference(superposition,[],[f56,f79]) ).
fof(f206,plain,
! [X0] :
( ~ member(X0,sK5)
| member(X0,sF9)
| member(X0,sK4) ),
inference(superposition,[],[f56,f81]) ).
fof(f446,plain,
! [X0,X1] :
( equal_set(X0,X1)
| member(sK0(X1,X0),X1)
| member(sK0(X0,X1),X0) ),
inference(resolution,[],[f113,f42]) ).
fof(f533,plain,
! [X0] :
( ~ member(sK0(X0,sF10),sF9)
| subset(X0,sF10) ),
inference(superposition,[],[f93,f83]) ).
fof(f551,plain,
! [X0] :
( ~ member(sK0(X0,sF10),sF8)
| subset(X0,sF10) ),
inference(superposition,[],[f95,f83]) ).
fof(f5019,plain,
( member(sK0(sF10,sF7),sF10)
| member(sK0(sF7,sF10),sF7) ),
inference(resolution,[],[f446,f84]) ).
fof(f5021,definition,
( spl11_62
<=> member(sK0(sF7,sF10),sF7) ),
introduced(definition,[new_symbols(definition,[spl11_62])],[avatar_definition]) ).
fof(f5023,plain,
( member(sK0(sF7,sF10),sF7)
| ~ spl11_62 ),
inference(avatar_component_clause,[],[f5021]) ).
fof(f5025,definition,
( spl11_63
<=> member(sK0(sF10,sF7),sF10) ),
introduced(definition,[new_symbols(definition,[spl11_63])],[avatar_definition]) ).
fof(f5026,plain,
( ~ member(sK0(sF10,sF7),sF10)
| spl11_63 ),
inference(avatar_component_clause,[],[f5025]) ).
fof(f5027,plain,
( member(sK0(sF10,sF7),sF10)
| ~ spl11_63 ),
inference(avatar_component_clause,[],[f5025]) ).
fof(f5028,plain,
( spl11_62
| spl11_63 ),
inference(avatar_split_clause,[],[f5019,f5025,f5021]) ).
fof(f5029,plain,
( member(sK0(sF10,sF7),sF9)
| member(sK0(sF10,sF7),sF8)
| ~ spl11_63 ),
inference(resolution,[],[f5027,f197]) ).
fof(f5045,definition,
( spl11_64
<=> member(sK0(sF10,sF7),sF8) ),
introduced(definition,[new_symbols(definition,[spl11_64])],[avatar_definition]) ).
fof(f5047,plain,
( member(sK0(sF10,sF7),sF8)
| ~ spl11_64 ),
inference(avatar_component_clause,[],[f5045]) ).
fof(f5049,definition,
( spl11_65
<=> member(sK0(sF10,sF7),sF9) ),
introduced(definition,[new_symbols(definition,[spl11_65])],[avatar_definition]) ).
fof(f5051,plain,
( member(sK0(sF10,sF7),sF9)
| ~ spl11_65 ),
inference(avatar_component_clause,[],[f5049]) ).
fof(f5052,plain,
( spl11_64
| spl11_65
| ~ spl11_63 ),
inference(avatar_split_clause,[],[f5029,f5025,f5049,f5045]) ).
fof(f5072,plain,
( member(sK0(sF10,sF7),sK5)
| ~ spl11_65 ),
inference(resolution,[],[f5051,f102]) ).
fof(f5073,plain,
( ~ member(sK0(sF10,sF7),sK4)
| ~ spl11_65 ),
inference(resolution,[],[f5051,f99]) ).
fof(f5093,plain,
( member(sK0(sF10,sF7),sF7)
| member(sK0(sF10,sF7),sF6)
| ~ spl11_65 ),
inference(resolution,[],[f5072,f204]) ).
fof(f5118,definition,
( spl11_67
<=> member(sK0(sF10,sF7),sK3) ),
introduced(definition,[new_symbols(definition,[spl11_67])],[avatar_definition]) ).
fof(f5119,plain,
( ~ member(sK0(sF10,sF7),sK3)
| spl11_67 ),
inference(avatar_component_clause,[],[f5118]) ).
fof(f5120,plain,
( member(sK0(sF10,sF7),sK3)
| ~ spl11_67 ),
inference(avatar_component_clause,[],[f5118]) ).
fof(f5126,definition,
( spl11_69
<=> member(sK0(sF10,sF7),sF6) ),
introduced(definition,[new_symbols(definition,[spl11_69])],[avatar_definition]) ).
fof(f5128,plain,
( member(sK0(sF10,sF7),sF6)
| ~ spl11_69 ),
inference(avatar_component_clause,[],[f5126]) ).
fof(f5132,definition,
( spl11_70
<=> member(sK0(sF10,sF7),sF7) ),
introduced(definition,[new_symbols(definition,[spl11_70])],[avatar_definition]) ).
fof(f5133,plain,
( ~ member(sK0(sF10,sF7),sF7)
| spl11_70 ),
inference(avatar_component_clause,[],[f5132]) ).
fof(f5134,plain,
( member(sK0(sF10,sF7),sF7)
| ~ spl11_70 ),
inference(avatar_component_clause,[],[f5132]) ).
fof(f5135,plain,
( spl11_69
| spl11_70
| ~ spl11_65 ),
inference(avatar_split_clause,[],[f5093,f5049,f5132,f5126]) ).
fof(f5204,plain,
( member(sK0(sF10,sF7),sK3)
| ~ spl11_69 ),
inference(resolution,[],[f5128,f92]) ).
fof(f5205,plain,
( member(sK0(sF10,sF7),sK4)
| ~ spl11_69 ),
inference(resolution,[],[f5128,f91]) ).
fof(f5220,plain,
( $false
| ~ spl11_65
| ~ spl11_69 ),
inference(forward_subsumption_resolution,[],[f5205,f5073]) ).
fof(f5221,plain,
( ~ spl11_65
| ~ spl11_69 ),
inference(avatar_contradiction_clause,[],[f5220]) ).
fof(f5245,plain,
( subset(sF10,sF7)
| ~ spl11_70 ),
inference(resolution,[],[f5134,f43]) ).
fof(f5268,plain,
( ~ subset(sF7,sF10)
| equal_set(sF7,sF10)
| ~ spl11_70 ),
inference(resolution,[],[f5245,f44]) ).
fof(f5270,plain,
( ~ subset(sF7,sF10)
| ~ spl11_70 ),
inference(forward_subsumption_resolution,[],[f5268,f84]) ).
fof(f5291,plain,
( member(sK0(sF7,sF10),sF7)
| ~ spl11_70 ),
inference(resolution,[],[f5270,f42]) ).
fof(f5292,plain,
( spl11_62
| ~ spl11_70 ),
inference(avatar_split_clause,[],[f5291,f5132,f5021]) ).
fof(f5346,plain,
( member(sK0(sF7,sF10),sK5)
| ~ spl11_62 ),
inference(resolution,[],[f5023,f100]) ).
fof(f5347,plain,
( ~ member(sK0(sF7,sF10),sF6)
| ~ spl11_62 ),
inference(resolution,[],[f5023,f97]) ).
fof(f5380,plain,
( member(sK0(sF7,sF10),sF8)
| member(sK0(sF7,sF10),sK3)
| ~ spl11_62 ),
inference(resolution,[],[f5346,f205]) ).
fof(f5381,plain,
( member(sK0(sF7,sF10),sF9)
| member(sK0(sF7,sF10),sK4)
| ~ spl11_62 ),
inference(resolution,[],[f5346,f206]) ).
fof(f5404,definition,
( spl11_73
<=> member(sK0(sF7,sF10),sK4) ),
introduced(definition,[new_symbols(definition,[spl11_73])],[avatar_definition]) ).
fof(f5406,plain,
( member(sK0(sF7,sF10),sK4)
| ~ spl11_73 ),
inference(avatar_component_clause,[],[f5404]) ).
fof(f5412,definition,
( spl11_75
<=> member(sK0(sF7,sF10),sK3) ),
introduced(definition,[new_symbols(definition,[spl11_75])],[avatar_definition]) ).
fof(f5417,definition,
( spl11_76
<=> member(sK0(sF7,sF10),sF9) ),
introduced(definition,[new_symbols(definition,[spl11_76])],[avatar_definition]) ).
fof(f5419,plain,
( member(sK0(sF7,sF10),sF9)
| ~ spl11_76 ),
inference(avatar_component_clause,[],[f5417]) ).
fof(f5420,plain,
( spl11_73
| spl11_76
| ~ spl11_62 ),
inference(avatar_split_clause,[],[f5381,f5021,f5417,f5404]) ).
fof(f5422,definition,
( spl11_77
<=> member(sK0(sF7,sF10),sF8) ),
introduced(definition,[new_symbols(definition,[spl11_77])],[avatar_definition]) ).
fof(f5424,plain,
( member(sK0(sF7,sF10),sF8)
| ~ spl11_77 ),
inference(avatar_component_clause,[],[f5422]) ).
fof(f5425,plain,
( spl11_75
| spl11_77
| ~ spl11_62 ),
inference(avatar_split_clause,[],[f5380,f5021,f5422,f5412]) ).
fof(f5483,plain,
( subset(sF7,sF10)
| ~ spl11_76 ),
inference(resolution,[],[f5419,f533]) ).
fof(f5503,plain,
( $false
| ~ spl11_70
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f5483,f5270]) ).
fof(f5504,plain,
( ~ spl11_70
| ~ spl11_76 ),
inference(avatar_contradiction_clause,[],[f5503]) ).
fof(f5528,plain,
( ~ member(sK0(sF7,sF10),sK3)
| member(sK0(sF7,sF10),sF6)
| ~ spl11_73 ),
inference(resolution,[],[f5406,f191]) ).
fof(f5587,plain,
( subset(sF7,sF10)
| ~ spl11_77 ),
inference(resolution,[],[f5424,f551]) ).
fof(f5606,plain,
( $false
| ~ spl11_70
| ~ spl11_77 ),
inference(forward_subsumption_resolution,[],[f5587,f5270]) ).
fof(f5607,plain,
( ~ spl11_70
| ~ spl11_77 ),
inference(avatar_contradiction_clause,[],[f5606]) ).
fof(f5609,definition,
( spl11_78
<=> member(sK0(sF7,sF10),sF6) ),
introduced(definition,[new_symbols(definition,[spl11_78])],[avatar_definition]) ).
fof(f5611,plain,
( member(sK0(sF7,sF10),sF6)
| ~ spl11_78 ),
inference(avatar_component_clause,[],[f5609]) ).
fof(f5612,plain,
( spl11_78
| ~ spl11_75
| ~ spl11_73 ),
inference(avatar_split_clause,[],[f5528,f5404,f5412,f5609]) ).
fof(f5695,plain,
( member(sK0(sF10,sF7),sK5)
| ~ spl11_64 ),
inference(resolution,[],[f5047,f101]) ).
fof(f5696,plain,
( ~ member(sK0(sF10,sF7),sK3)
| ~ spl11_64 ),
inference(resolution,[],[f5047,f98]) ).
fof(f5713,plain,
( $false
| ~ spl11_64
| ~ spl11_67 ),
inference(forward_subsumption_resolution,[],[f5696,f5120]) ).
fof(f5714,plain,
( ~ spl11_64
| ~ spl11_67 ),
inference(avatar_contradiction_clause,[],[f5713]) ).
fof(f5738,plain,
( member(sK0(sF10,sF7),sF7)
| member(sK0(sF10,sF7),sF6)
| ~ spl11_64 ),
inference(resolution,[],[f5695,f204]) ).
fof(f5768,plain,
( member(sK0(sF10,sF7),sF6)
| ~ spl11_64
| spl11_70 ),
inference(forward_subsumption_resolution,[],[f5738,f5133]) ).
fof(f5772,plain,
( $false
| ~ spl11_62
| ~ spl11_78 ),
inference(forward_subsumption_resolution,[],[f5347,f5611]) ).
fof(f5773,plain,
( ~ spl11_62
| ~ spl11_78 ),
inference(avatar_contradiction_clause,[],[f5772]) ).
fof(f5800,plain,
( equal_set(sF7,sF10)
| member(sK0(sF10,sF7),sF10)
| ~ spl11_77 ),
inference(resolution,[],[f5587,f113]) ).
fof(f5803,plain,
( member(sK0(sF10,sF7),sF10)
| ~ spl11_77 ),
inference(forward_subsumption_resolution,[],[f5800,f84]) ).
fof(f5804,plain,
( $false
| spl11_63
| ~ spl11_77 ),
inference(forward_subsumption_resolution,[],[f5803,f5026]) ).
fof(f5805,plain,
( spl11_63
| ~ spl11_77 ),
inference(avatar_contradiction_clause,[],[f5804]) ).
fof(f5809,plain,
( equal_set(sF7,sF10)
| member(sK0(sF10,sF7),sF10)
| ~ spl11_76 ),
inference(resolution,[],[f5483,f113]) ).
fof(f5812,plain,
( member(sK0(sF10,sF7),sF10)
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f5809,f84]) ).
fof(f5813,plain,
( $false
| spl11_63
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f5812,f5026]) ).
fof(f5814,plain,
( spl11_63
| ~ spl11_76 ),
inference(avatar_contradiction_clause,[],[f5813]) ).
fof(f5815,plain,
( spl11_69
| ~ spl11_64
| spl11_70 ),
inference(avatar_split_clause,[],[f5768,f5132,f5045,f5126]) ).
fof(f5816,plain,
( $false
| spl11_67
| ~ spl11_69 ),
inference(forward_subsumption_resolution,[],[f5204,f5119]) ).
fof(f5817,plain,
( spl11_67
| ~ spl11_69 ),
inference(avatar_contradiction_clause,[],[f5816]) ).
cnf(s72,plain,
( spl11_62
| spl11_63 ),
inference(sat_conversion,[],[f5028]) ).
cnf(s73,plain,
( ~ spl11_63
| spl11_64
| spl11_65 ),
inference(sat_conversion,[],[f5052]) ).
cnf(s77,plain,
( ~ spl11_65
| spl11_69
| spl11_70 ),
inference(sat_conversion,[],[f5135]) ).
cnf(s78,plain,
( ~ spl11_65
| ~ spl11_69 ),
inference(sat_conversion,[],[f5221]) ).
cnf(s80,plain,
( spl11_62
| ~ spl11_70 ),
inference(sat_conversion,[],[f5292]) ).
cnf(s83,plain,
( ~ spl11_62
| spl11_73
| spl11_76 ),
inference(sat_conversion,[],[f5420]) ).
cnf(s84,plain,
( ~ spl11_62
| spl11_75
| spl11_77 ),
inference(sat_conversion,[],[f5425]) ).
cnf(s86,plain,
( ~ spl11_70
| ~ spl11_76 ),
inference(sat_conversion,[],[f5504]) ).
cnf(s88,plain,
( ~ spl11_70
| ~ spl11_77 ),
inference(sat_conversion,[],[f5607]) ).
cnf(s89,plain,
( ~ spl11_73
| ~ spl11_75
| spl11_78 ),
inference(sat_conversion,[],[f5612]) ).
cnf(s92,plain,
( ~ spl11_64
| ~ spl11_67 ),
inference(sat_conversion,[],[f5714]) ).
cnf(s96,plain,
( ~ spl11_62
| ~ spl11_78 ),
inference(sat_conversion,[],[f5773]) ).
cnf(s97,plain,
( spl11_63
| ~ spl11_77 ),
inference(sat_conversion,[],[f5805]) ).
cnf(s98,plain,
( spl11_63
| ~ spl11_76 ),
inference(sat_conversion,[],[f5814]) ).
cnf(s100,plain,
( ~ spl11_64
| spl11_69
| spl11_70 ),
inference(sat_conversion,[],[f5815]) ).
cnf(s101,plain,
( spl11_67
| ~ spl11_69 ),
inference(sat_conversion,[],[f5817]) ).
cnf(s104,plain,
( ~ spl11_65
| spl11_70 ),
inference(rat,[],[s77,s78]) ).
cnf(s105,plain,
spl11_62,
inference(rat,[],[s101,s100,s92,s73,s104,s72,s80]) ).
cnf(s106,plain,
~ spl11_78,
inference(rat,[],[s96,s105]) ).
cnf(s107,plain,
~ spl11_70,
inference(rat,[],[s89,s83,s84,s86,s88,s106,s105]) ).
cnf(s108,plain,
~ spl11_65,
inference(rat,[],[s104,s107]) ).
cnf(s109,plain,
~ spl11_64,
inference(rat,[],[s101,s100,s92,s107]) ).
cnf(s110,plain,
~ spl11_63,
inference(rat,[],[s73,s108,s109]) ).
cnf(s111,plain,
~ spl11_76,
inference(rat,[],[s98,s110]) ).
cnf(s112,plain,
~ spl11_77,
inference(rat,[],[s97,s110]) ).
cnf(s113,plain,
spl11_73,
inference(rat,[],[s83,s105,s111]) ).
cnf(s114,plain,
spl11_75,
inference(rat,[],[s84,s105,s112]) ).
cnf(s115,plain,
$false,
inference(rat,[],[s89,s106,s114,s113]) ).
fof(f5819,plain,
$false,
inference(avatar_sat_refutation,[],[s115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET156+4 : 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 : n020.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 00:57:19 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 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
% 4.24/1.12 % (3933112)Will run a generic schedule for satisfiability detection.
% 4.24/1.12 % (3933119)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3708866539:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.24/1.12 % (3933118)% WARNING: option uhcvi not known.
% 4.24/1.12 % (3933117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=905214540_2999 on theBenchmark for (2999ds/0Mi)
% 4.24/1.12 % (3933121)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2591180804:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.24/1.12 % (3933118)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3879140420:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.24/1.12 % (3933120)dis+10_1_sil=32000:sp=arity:random_seed=1211445702:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.24/1.12 % (3933122)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=637660424:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.24/1.12 % (3933123)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3314482727:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.24/1.12 % TRYING [1]
% 4.24/1.12 % TRYING [2]
% 4.24/1.12 % TRYING [3]
% 4.24/1.12 % TRYING [4]
% 4.24/1.12 % TRYING [5]
% 4.24/1.12 % TRYING [6]
% 4.24/1.12 % TRYING [7]
% 4.24/1.12 % (3933120)Instruction limit reached!
% 4.24/1.12 % (3933120)------------------------------
% 4.24/1.12 % (3933120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933120)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933120)Termination reason: Instruction limit
% 4.24/1.12 % (3933120)Termination phase: Saturation
% 4.24/1.12 % (3933120)Time elapsed: 0.062 s
% 4.24/1.12 % (3933120)Peak memory usage: 12 MB
% 4.24/1.12 % (3933120)Instructions burned: 103 (million)
% 4.24/1.12 % (3933121)Instruction limit reached!
% 4.24/1.12 % (3933121)------------------------------
% 4.24/1.12 % (3933121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933121)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933121)Termination reason: Instruction limit
% 4.24/1.12 % (3933121)Termination phase: Saturation
% 4.24/1.12 % (3933121)Time elapsed: 0.068 s
% 4.24/1.12 % (3933121)Peak memory usage: 12 MB
% 4.24/1.12 % (3933121)Instructions burned: 117 (million)
% 4.24/1.12 % (3933122)Instruction limit reached!
% 4.24/1.12 % (3933122)------------------------------
% 4.24/1.12 % (3933122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933122)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933122)Termination reason: Instruction limit
% 4.24/1.12 % (3933122)Termination phase: Saturation
% 4.24/1.12 % (3933122)Time elapsed: 0.081 s
% 4.24/1.12 % (3933122)Peak memory usage: 13 MB
% 4.24/1.12 % (3933122)Instructions burned: 131 (million)
% 4.24/1.12 % (3933131)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4173819093:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.24/1.12 % (3933132)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1124930749:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.24/1.12 % TRYING [1]
% 4.24/1.12 % TRYING [2]
% 4.24/1.12 % TRYING [3]
% 4.24/1.12 % TRYING [4]
% 4.24/1.12 % TRYING [5]
% 4.24/1.12 % (3933133)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=276554543:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.24/1.12 % (3933123)Instruction limit reached!
% 4.24/1.12 % (3933123)------------------------------
% 4.24/1.12 % (3933123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933123)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933123)Termination reason: Instruction limit
% 4.24/1.12 % (3933123)Termination phase: Saturation
% 4.24/1.12 % (3933123)Time elapsed: 0.109 s
% 4.24/1.12 % (3933123)Peak memory usage: 13 MB
% 4.24/1.12 % (3933123)Instructions burned: 159 (million)
% 4.24/1.12 % TRYING [6]
% 4.24/1.12 % TRYING [8]
% 4.24/1.12 % (3933137)ott-21_1_sil=16000:fs=off:random_seed=586717335:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.24/1.12 % (3933132)Instruction limit reached!
% 4.24/1.12 % (3933132)------------------------------
% 4.24/1.12 % (3933132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933132)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933132)Termination reason: Instruction limit
% 4.24/1.12 % (3933132)Termination phase: Saturation
% 4.24/1.12 % (3933132)Time elapsed: 0.084 s
% 4.24/1.12 % (3933132)Peak memory usage: 14 MB
% 4.24/1.12 % (3933132)Instructions burned: 132 (million)
% 4.24/1.12 % TRYING [7]
% 4.24/1.12 % (3933139)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2736548160:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.24/1.12 % (3933137)Instruction limit reached!
% 4.24/1.12 % (3933137)------------------------------
% 4.24/1.12 % (3933137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933137)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933137)Termination reason: Instruction limit
% 4.24/1.12 % (3933137)Termination phase: Saturation
% 4.24/1.12 % (3933137)Time elapsed: 0.095 s
% 4.24/1.12 % (3933137)Peak memory usage: 13 MB
% 4.24/1.12 % (3933137)Instructions burned: 180 (million)
% 4.24/1.12 % (3933141)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2909098122:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.24/1.12 % TRYING [1]
% 4.24/1.12 % TRYING [2]
% 4.24/1.12 % TRYING [3]
% 4.24/1.12 % TRYING [4]
% 4.24/1.12 % TRYING [5]
% 4.24/1.12 % TRYING [6]
% 4.24/1.12 % TRYING [7]
% 4.24/1.12 % TRYING [9]
% 4.24/1.12 % TRYING [8]
% 4.24/1.12 % TRYING [8]
% 4.24/1.12 % (3933131)Instruction limit reached!
% 4.24/1.12 % (3933131)------------------------------
% 4.24/1.12 % (3933131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933131)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933131)Termination reason: Instruction limit
% 4.24/1.12 % (3933131)Termination phase: Finite model building constraint generation
% 4.24/1.12 % (3933131)Time elapsed: 0.348 s
% 4.24/1.12 % (3933131)Peak memory usage: 19 MB
% 4.24/1.12 % (3933131)Instructions burned: 716 (million)
% 4.24/1.12 % (3933143)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1681583923:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.24/1.12 % (3933133)Instruction limit reached!
% 4.24/1.12 % (3933133)------------------------------
% 4.24/1.12 % (3933133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933133)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933133)Termination reason: Instruction limit
% 4.24/1.12 % (3933133)Termination phase: Saturation
% 4.24/1.12 % (3933133)Time elapsed: 0.368 s
% 4.24/1.12 % (3933133)Peak memory usage: 18 MB
% 4.24/1.12 % (3933133)Instructions burned: 684 (million)
% 4.24/1.12 % (3933139)Instruction limit reached!
% 4.24/1.12 % (3933139)------------------------------
% 4.24/1.12 % (3933139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933139)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933139)Termination reason: Instruction limit
% 4.24/1.12 % (3933139)Termination phase: Saturation
% 4.24/1.12 % (3933139)Time elapsed: 0.295 s
% 4.24/1.12 % (3933139)Peak memory usage: 14 MB
% 4.24/1.12 % (3933139)Instructions burned: 477 (million)
% 4.24/1.12 % (3933145)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1838517027:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.24/1.12 % TRYING [14]
% 4.24/1.12 % (3933146)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4047052034:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 4.24/1.12 % (3933141)Instruction limit reached!
% 4.24/1.12 % (3933141)------------------------------
% 4.24/1.12 % (3933141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933141)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933141)Termination reason: Instruction limit
% 4.24/1.12 % (3933141)Termination phase: Finite model building SAT solving
% 4.24/1.12 % (3933141)Time elapsed: 0.328 s
% 4.24/1.12 % (3933141)Peak memory usage: 18 MB
% 4.24/1.12 % (3933141)Instructions burned: 867 (million)
% 4.24/1.12 % (3933149)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2757978775:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.24/1.12 % (3933143) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3933112-3933143"...
% 4.24/1.12 % (3933143)...printing done.
% 4.24/1.12 % (3933143)Refutation found. Thanks to Tanya!
% 4.24/1.12 % SZS status Theorem for theBenchmark
% 4.24/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.24/1.12 % (3933143)------------------------------
% 4.24/1.12 % (3933143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.24/1.12 % (3933143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.24/1.12 % (3933143)CaDiCaL version: 2.1.3
% 4.24/1.12 % (3933143)Termination reason: Refutation
% 4.24/1.12 % (3933143)Time elapsed: 0.191 s
% 4.24/1.12 % (3933143)Peak memory usage: 16 MB
% 4.24/1.12 % (3933143)Instructions burned: 309 (million)
% 4.24/1.12 % (3933112)Success in time 0.687 s
% 4.24/1.12 % Vampire exiting
%------------------------------------------------------------------------------