%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET155+4 : 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 12:43:17 PM UTC 2026
% Result : Theorem 2.22s 0.74s
% Output : Refutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 139 ( 21 unt; 13 def)
% Number of atoms : 347 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 368 ( 160 ~; 160 |; 30 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn 107 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/SET006+0.ax',difference) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> equal_set(difference(X2,union(X0,X1)),intersection(difference(X2,X0),difference(X2,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI26) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> equal_set(difference(X2,union(X0,X1)),intersection(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,union(X0,X1)),intersection(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,union(X0,X1)),intersection(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,union(sK3,sK4)),intersection(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,union(sK3,sK4)),intersection(difference(sK5,sK3),difference(sK5,sK4))),
inference(cnf_transformation,[],[f40]) ).
fof(f74,definition,
sF6 = union(sK3,sK4),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f75,plain,
union(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 = intersection(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f83,plain,
intersection(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,sF10)
| member(X0,sF9) ),
inference(superposition,[],[f47,f83]) ).
fof(f92,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF8) ),
inference(superposition,[],[f48,f83]) ).
fof(f94,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sF6) ),
inference(superposition,[],[f51,f75]) ).
fof(f96,plain,
! [X0] :
( ~ member(X0,sK3)
| member(X0,sF6) ),
inference(superposition,[],[f52,f75]) ).
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(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,sF9)
| ~ member(X0,sF8)
| member(X0,sF10) ),
inference(superposition,[],[f49,f83]) ).
fof(f197,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK4)
| member(X0,sK3) ),
inference(superposition,[],[f50,f75]) ).
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(f448,plain,
! [X0,X1] :
( equal_set(X0,X1)
| member(sK0(X1,X0),X1)
| member(sK0(X0,X1),X0) ),
inference(resolution,[],[f113,f42]) ).
fof(f5167,plain,
( member(sK0(sF10,sF7),sF10)
| member(sK0(sF7,sF10),sF7) ),
inference(resolution,[],[f448,f84]) ).
fof(f5169,definition,
( spl11_73
<=> member(sK0(sF7,sF10),sF7) ),
introduced(definition,[new_symbols(definition,[spl11_73])],[avatar_definition]) ).
fof(f5171,plain,
( member(sK0(sF7,sF10),sF7)
| ~ spl11_73 ),
inference(avatar_component_clause,[],[f5169]) ).
fof(f5173,definition,
( spl11_74
<=> member(sK0(sF10,sF7),sF10) ),
introduced(definition,[new_symbols(definition,[spl11_74])],[avatar_definition]) ).
fof(f5174,plain,
( ~ member(sK0(sF10,sF7),sF10)
| spl11_74 ),
inference(avatar_component_clause,[],[f5173]) ).
fof(f5175,plain,
( member(sK0(sF10,sF7),sF10)
| ~ spl11_74 ),
inference(avatar_component_clause,[],[f5173]) ).
fof(f5176,plain,
( spl11_73
| spl11_74 ),
inference(avatar_split_clause,[],[f5167,f5173,f5169]) ).
fof(f5177,plain,
( member(sK0(sF10,sF7),sF8)
| ~ spl11_74 ),
inference(resolution,[],[f5175,f92]) ).
fof(f5178,plain,
( member(sK0(sF10,sF7),sF9)
| ~ spl11_74 ),
inference(resolution,[],[f5175,f91]) ).
fof(f5211,plain,
( member(sK0(sF10,sF7),sK5)
| ~ spl11_74 ),
inference(resolution,[],[f5177,f101]) ).
fof(f5212,plain,
( ~ member(sK0(sF10,sF7),sK3)
| ~ spl11_74 ),
inference(resolution,[],[f5177,f98]) ).
fof(f5234,plain,
( ~ member(sK0(sF10,sF7),sK4)
| ~ spl11_74 ),
inference(resolution,[],[f5178,f99]) ).
fof(f5264,plain,
( member(sK0(sF10,sF7),sF7)
| member(sK0(sF10,sF7),sF6)
| ~ spl11_74 ),
inference(resolution,[],[f5211,f204]) ).
fof(f5292,definition,
( spl11_76
<=> member(sK0(sF10,sF7),sF6) ),
introduced(definition,[new_symbols(definition,[spl11_76])],[avatar_definition]) ).
fof(f5294,plain,
( member(sK0(sF10,sF7),sF6)
| ~ spl11_76 ),
inference(avatar_component_clause,[],[f5292]) ).
fof(f5297,definition,
( spl11_77
<=> member(sK0(sF10,sF7),sF7) ),
introduced(definition,[new_symbols(definition,[spl11_77])],[avatar_definition]) ).
fof(f5299,plain,
( member(sK0(sF10,sF7),sF7)
| ~ spl11_77 ),
inference(avatar_component_clause,[],[f5297]) ).
fof(f5300,plain,
( spl11_76
| spl11_77
| ~ spl11_74 ),
inference(avatar_split_clause,[],[f5264,f5173,f5297,f5292]) ).
fof(f5342,plain,
( subset(sF10,sF7)
| ~ spl11_77 ),
inference(resolution,[],[f5299,f43]) ).
fof(f5388,plain,
( ~ subset(sF7,sF10)
| equal_set(sF7,sF10)
| ~ spl11_77 ),
inference(resolution,[],[f5342,f44]) ).
fof(f5390,plain,
( ~ subset(sF7,sF10)
| ~ spl11_77 ),
inference(forward_subsumption_resolution,[],[f5388,f84]) ).
fof(f5399,plain,
( member(sK0(sF10,sF7),sK4)
| member(sK0(sF10,sF7),sK3)
| ~ spl11_76 ),
inference(resolution,[],[f5294,f197]) ).
fof(f5414,plain,
( member(sK0(sF10,sF7),sK3)
| ~ spl11_74
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f5399,f5234]) ).
fof(f5415,plain,
( $false
| ~ spl11_74
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f5414,f5212]) ).
fof(f5416,plain,
( ~ spl11_74
| ~ spl11_76 ),
inference(avatar_contradiction_clause,[],[f5415]) ).
fof(f5448,plain,
( member(sK0(sF7,sF10),sF7)
| ~ spl11_77 ),
inference(resolution,[],[f5390,f42]) ).
fof(f5449,plain,
( spl11_73
| ~ spl11_77 ),
inference(avatar_split_clause,[],[f5448,f5297,f5169]) ).
fof(f5516,plain,
( member(sK0(sF7,sF10),sK5)
| ~ spl11_73 ),
inference(resolution,[],[f5171,f100]) ).
fof(f5517,plain,
( ~ member(sK0(sF7,sF10),sF6)
| ~ spl11_73 ),
inference(resolution,[],[f5171,f97]) ).
fof(f5550,plain,
( member(sK0(sF7,sF10),sF8)
| member(sK0(sF7,sF10),sK3)
| ~ spl11_73 ),
inference(resolution,[],[f5516,f205]) ).
fof(f5551,plain,
( member(sK0(sF7,sF10),sF9)
| member(sK0(sF7,sF10),sK4)
| ~ spl11_73 ),
inference(resolution,[],[f5516,f206]) ).
fof(f5577,definition,
( spl11_80
<=> member(sK0(sF7,sF10),sK4) ),
introduced(definition,[new_symbols(definition,[spl11_80])],[avatar_definition]) ).
fof(f5579,plain,
( member(sK0(sF7,sF10),sK4)
| ~ spl11_80 ),
inference(avatar_component_clause,[],[f5577]) ).
fof(f5585,definition,
( spl11_82
<=> member(sK0(sF7,sF10),sK3) ),
introduced(definition,[new_symbols(definition,[spl11_82])],[avatar_definition]) ).
fof(f5587,plain,
( member(sK0(sF7,sF10),sK3)
| ~ spl11_82 ),
inference(avatar_component_clause,[],[f5585]) ).
fof(f5590,definition,
( spl11_83
<=> member(sK0(sF7,sF10),sF9) ),
introduced(definition,[new_symbols(definition,[spl11_83])],[avatar_definition]) ).
fof(f5592,plain,
( member(sK0(sF7,sF10),sF9)
| ~ spl11_83 ),
inference(avatar_component_clause,[],[f5590]) ).
fof(f5593,plain,
( spl11_80
| spl11_83
| ~ spl11_73 ),
inference(avatar_split_clause,[],[f5551,f5169,f5590,f5577]) ).
fof(f5595,definition,
( spl11_84
<=> member(sK0(sF7,sF10),sF8) ),
introduced(definition,[new_symbols(definition,[spl11_84])],[avatar_definition]) ).
fof(f5597,plain,
( member(sK0(sF7,sF10),sF8)
| ~ spl11_84 ),
inference(avatar_component_clause,[],[f5595]) ).
fof(f5598,plain,
( spl11_82
| spl11_84
| ~ spl11_73 ),
inference(avatar_split_clause,[],[f5550,f5169,f5595,f5585]) ).
fof(f5631,plain,
( member(sK0(sF7,sF10),sF6)
| ~ spl11_80 ),
inference(resolution,[],[f5579,f94]) ).
fof(f5646,plain,
( $false
| ~ spl11_73
| ~ spl11_80 ),
inference(forward_subsumption_resolution,[],[f5631,f5517]) ).
fof(f5647,plain,
( ~ spl11_73
| ~ spl11_80 ),
inference(avatar_contradiction_clause,[],[f5646]) ).
fof(f5676,plain,
( member(sK0(sF7,sF10),sF6)
| ~ spl11_82 ),
inference(resolution,[],[f5587,f96]) ).
fof(f5691,plain,
( $false
| ~ spl11_73
| ~ spl11_82 ),
inference(forward_subsumption_resolution,[],[f5676,f5517]) ).
fof(f5692,plain,
( ~ spl11_73
| ~ spl11_82 ),
inference(avatar_contradiction_clause,[],[f5691]) ).
fof(f5722,plain,
( ~ member(sK0(sF7,sF10),sF8)
| member(sK0(sF7,sF10),sF10)
| ~ spl11_83 ),
inference(resolution,[],[f5592,f191]) ).
fof(f5739,plain,
( member(sK0(sF7,sF10),sF10)
| ~ spl11_83
| ~ spl11_84 ),
inference(forward_subsumption_resolution,[],[f5722,f5597]) ).
fof(f5842,plain,
( subset(sF7,sF10)
| ~ spl11_83
| ~ spl11_84 ),
inference(resolution,[],[f5739,f43]) ).
fof(f5859,plain,
( $false
| ~ spl11_77
| ~ spl11_83
| ~ spl11_84 ),
inference(forward_subsumption_resolution,[],[f5842,f5390]) ).
fof(f5860,plain,
( ~ spl11_77
| ~ spl11_83
| ~ spl11_84 ),
inference(avatar_contradiction_clause,[],[f5859]) ).
fof(f5889,plain,
( equal_set(sF7,sF10)
| member(sK0(sF10,sF7),sF10)
| ~ spl11_83
| ~ spl11_84 ),
inference(resolution,[],[f5842,f113]) ).
fof(f5892,plain,
( member(sK0(sF10,sF7),sF10)
| ~ spl11_83
| ~ spl11_84 ),
inference(forward_subsumption_resolution,[],[f5889,f84]) ).
fof(f5893,plain,
( $false
| spl11_74
| ~ spl11_83
| ~ spl11_84 ),
inference(forward_subsumption_resolution,[],[f5892,f5174]) ).
fof(f5894,plain,
( spl11_74
| ~ spl11_83
| ~ spl11_84 ),
inference(avatar_contradiction_clause,[],[f5893]) ).
cnf(s62,plain,
( spl11_73
| spl11_74 ),
inference(sat_conversion,[],[f5176]) ).
cnf(s64,plain,
( ~ spl11_74
| spl11_76
| spl11_77 ),
inference(sat_conversion,[],[f5300]) ).
cnf(s67,plain,
( ~ spl11_74
| ~ spl11_76 ),
inference(sat_conversion,[],[f5416]) ).
cnf(s68,plain,
( spl11_73
| ~ spl11_77 ),
inference(sat_conversion,[],[f5449]) ).
cnf(s71,plain,
( ~ spl11_73
| spl11_80
| spl11_83 ),
inference(sat_conversion,[],[f5593]) ).
cnf(s72,plain,
( ~ spl11_73
| spl11_82
| spl11_84 ),
inference(sat_conversion,[],[f5598]) ).
cnf(s73,plain,
( ~ spl11_73
| ~ spl11_80 ),
inference(sat_conversion,[],[f5647]) ).
cnf(s74,plain,
( ~ spl11_73
| ~ spl11_82 ),
inference(sat_conversion,[],[f5692]) ).
cnf(s75,plain,
( ~ spl11_77
| ~ spl11_83
| ~ spl11_84 ),
inference(sat_conversion,[],[f5860]) ).
cnf(s76,plain,
( spl11_74
| ~ spl11_83
| ~ spl11_84 ),
inference(sat_conversion,[],[f5894]) ).
cnf(s77,plain,
( spl11_77
| ~ spl11_74 ),
inference(rat,[],[s67,s64]) ).
cnf(s78,plain,
spl11_73,
inference(rat,[],[s77,s62,s68]) ).
cnf(s79,plain,
~ spl11_82,
inference(rat,[],[s74,s78]) ).
cnf(s80,plain,
~ spl11_80,
inference(rat,[],[s73,s78]) ).
cnf(s83,plain,
spl11_84,
inference(rat,[],[s72,s78,s79]) ).
cnf(s84,plain,
spl11_83,
inference(rat,[],[s71,s78,s80]) ).
cnf(s85,plain,
spl11_74,
inference(rat,[],[s76,s83,s84]) ).
cnf(s86,plain,
~ spl11_77,
inference(rat,[],[s75,s83,s84]) ).
cnf(s89,plain,
$false,
inference(rat,[],[s77,s85,s86]) ).
fof(f5895,plain,
$false,
inference(avatar_sat_refutation,[],[s89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET155+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Mon Sep 28 00:56:04 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34 Running first-order model finding
% 0.07/0.34 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
% 2.22/0.74 % (2914354)Will run a generic schedule for satisfiability detection.
% 2.22/0.74 % (2914360)% WARNING: option uhcvi not known.
% 2.22/0.74 % (2914361)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3788609497:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.22/0.74 % (2914362)dis+10_1_sil=32000:sp=arity:random_seed=4258267736:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.22/0.74 % (2914359)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=507551691_2999 on theBenchmark for (2999ds/0Mi)
% 2.22/0.74 % (2914360)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3644483652:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.22/0.74 % (2914363)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3382681291:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.22/0.74 % (2914364)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2016847593:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.74 % (2914365)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3338716948:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.22/0.74 % TRYING [1]
% 2.22/0.74 % TRYING [2]
% 2.22/0.74 % TRYING [3]
% 2.22/0.74 % TRYING [4]
% 2.22/0.74 % TRYING [5]
% 2.22/0.74 % TRYING [6]
% 2.22/0.74 % TRYING [7]
% 2.22/0.74 % (2914362)Instruction limit reached!
% 2.22/0.74 % (2914362)------------------------------
% 2.22/0.74 % (2914362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914362)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914362)Termination reason: Instruction limit
% 2.22/0.74 % (2914362)Termination phase: Saturation
% 2.22/0.74 % (2914362)Time elapsed: 0.034 s
% 2.22/0.74 % (2914362)Peak memory usage: 12 MB
% 2.22/0.74 % (2914362)Instructions burned: 104 (million)
% 2.22/0.74 % (2914363)Instruction limit reached!
% 2.22/0.74 % (2914363)------------------------------
% 2.22/0.74 % (2914363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914363)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914363)Termination reason: Instruction limit
% 2.22/0.74 % (2914363)Termination phase: Saturation
% 2.22/0.74 % (2914363)Time elapsed: 0.037 s
% 2.22/0.74 % (2914363)Peak memory usage: 12 MB
% 2.22/0.74 % (2914363)Instructions burned: 119 (million)
% 2.22/0.74 % (2914364)Instruction limit reached!
% 2.22/0.74 % (2914364)------------------------------
% 2.22/0.74 % (2914364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914364)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914364)Termination reason: Instruction limit
% 2.22/0.74 % (2914364)Termination phase: Saturation
% 2.22/0.74 % (2914364)Time elapsed: 0.045 s
% 2.22/0.74 % (2914364)Peak memory usage: 13 MB
% 2.22/0.74 % (2914364)Instructions burned: 131 (million)
% 2.22/0.74 % (2914373)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3170086013:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.22/0.74 % (2914374)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2322912995:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.22/0.74 % TRYING [1]
% 2.22/0.74 % TRYING [2]
% 2.22/0.74 % TRYING [3]
% 2.22/0.74 % TRYING [4]
% 2.22/0.74 % TRYING [5]
% 2.22/0.74 % (2914375)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=1063337778:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.22/0.74 % (2914365)Instruction limit reached!
% 2.22/0.74 % (2914365)------------------------------
% 2.22/0.74 % (2914365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914365)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914365)Termination reason: Instruction limit
% 2.22/0.74 % (2914365)Termination phase: Saturation
% 2.22/0.74 % (2914365)Time elapsed: 0.061 s
% 2.22/0.74 % (2914365)Peak memory usage: 13 MB
% 2.22/0.74 % (2914365)Instructions burned: 161 (million)
% 2.22/0.74 % TRYING [6]
% 2.22/0.74 % TRYING [8]
% 2.22/0.74 % (2914379)ott-21_1_sil=16000:fs=off:random_seed=521013648:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.22/0.74 % TRYING [7]
% 2.22/0.74 % (2914374)Instruction limit reached!
% 2.22/0.74 % (2914374)------------------------------
% 2.22/0.74 % (2914374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914374)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914374)Termination reason: Instruction limit
% 2.22/0.74 % (2914374)Termination phase: Saturation
% 2.22/0.74 % (2914374)Time elapsed: 0.046 s
% 2.22/0.74 % (2914374)Peak memory usage: 13 MB
% 2.22/0.74 % (2914374)Instructions burned: 131 (million)
% 2.22/0.74 % (2914381)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=44501147:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.22/0.74 % (2914379)Instruction limit reached!
% 2.22/0.74 % (2914379)------------------------------
% 2.22/0.74 % (2914379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914379)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914379)Termination reason: Instruction limit
% 2.22/0.74 % (2914379)Termination phase: Saturation
% 2.22/0.74 % (2914379)Time elapsed: 0.053 s
% 2.22/0.74 % (2914379)Peak memory usage: 13 MB
% 2.22/0.74 % (2914379)Instructions burned: 182 (million)
% 2.22/0.74 % (2914383)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=243083848:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.22/0.74 % TRYING [1]
% 2.22/0.74 % TRYING [2]
% 2.22/0.74 % TRYING [3]
% 2.22/0.74 % TRYING [4]
% 2.22/0.74 % TRYING [5]
% 2.22/0.74 % TRYING [6]
% 2.22/0.74 % TRYING [7]
% 2.22/0.74 % TRYING [9]
% 2.22/0.74 % TRYING [8]
% 2.22/0.74 % TRYING [8]
% 2.22/0.74 % (2914373)Instruction limit reached!
% 2.22/0.74 % (2914373)------------------------------
% 2.22/0.74 % (2914373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914373)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914373)Termination reason: Instruction limit
% 2.22/0.74 % (2914373)Termination phase: Finite model building SAT solving
% 2.22/0.74 % (2914373)Time elapsed: 0.202 s
% 2.22/0.74 % (2914373)Peak memory usage: 20 MB
% 2.22/0.74 % (2914373)Instructions burned: 716 (million)
% 2.22/0.74 % (2914385)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3875750226:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.22/0.74 % (2914381)Instruction limit reached!
% 2.22/0.74 % (2914381)------------------------------
% 2.22/0.74 % (2914381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914381)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914381)Termination reason: Instruction limit
% 2.22/0.74 % (2914381)Termination phase: Saturation
% 2.22/0.74 % (2914381)Time elapsed: 0.162 s
% 2.22/0.74 % (2914381)Peak memory usage: 14 MB
% 2.22/0.74 % (2914381)Instructions burned: 480 (million)
% 2.22/0.74 % (2914375)Instruction limit reached!
% 2.22/0.74 % (2914375)------------------------------
% 2.22/0.74 % (2914375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914375)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914375)Termination reason: Instruction limit
% 2.22/0.74 % (2914375)Termination phase: Saturation
% 2.22/0.74 % (2914375)Time elapsed: 0.219 s
% 2.22/0.74 % (2914375)Peak memory usage: 18 MB
% 2.22/0.74 % (2914375)Instructions burned: 684 (million)
% 2.22/0.74 % (2914387)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2920603845:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 2.22/0.74 % (2914388)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=1918165513:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 2.22/0.74 % TRYING [14]
% 2.22/0.74 % (2914383)Instruction limit reached!
% 2.22/0.74 % (2914383)------------------------------
% 2.22/0.74 % (2914383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914383)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914383)Termination reason: Instruction limit
% 2.22/0.74 % (2914383)Termination phase: Finite model building SAT solving
% 2.22/0.74 % (2914383)Time elapsed: 0.175 s
% 2.22/0.74 % (2914383)Peak memory usage: 18 MB
% 2.22/0.74 % (2914383)Instructions burned: 869 (million)
% 2.22/0.74 % (2914391)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3387355848:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 2.22/0.74 % (2914385) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2914354-2914385"...
% 2.22/0.74 % (2914385)...printing done.
% 2.22/0.74 % (2914385)Refutation found. Thanks to Tanya!
% 2.22/0.74 % SZS status Theorem for theBenchmark
% 2.22/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.22/0.74 % (2914385)------------------------------
% 2.22/0.74 % (2914385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.22/0.74 % (2914385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/0.74 % (2914385)CaDiCaL version: 2.1.3
% 2.22/0.74 % (2914385)Termination reason: Refutation
% 2.22/0.74 % (2914385)Time elapsed: 0.106 s
% 2.22/0.74 % (2914385)Peak memory usage: 16 MB
% 2.22/0.74 % (2914385)Instructions burned: 314 (million)
% 2.22/0.74 % (2914354)Success in time 0.398 s
% 2.22/0.74 % Vampire exiting
%------------------------------------------------------------------------------