%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET698+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 : n018.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 12:44:27 PM UTC 2026
% Result : Theorem 4.03s 1.10s
% Output : Refutation 4.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 170 ( 14 unt; 13 def)
% Number of atoms : 460 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 468 ( 178 ~; 222 |; 43 &)
% ( 20 <=>; 3 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 131 !; 17 ?)
% 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(f3,axiom,
! [X0,X1] :
( member(X0,power_set(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',power_set) ).
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(f10,axiom,
! [X0,X1] :
( member(X0,sum(X1))
<=> ? [X2] :
( member(X2,X1)
& member(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',sum) ).
fof(f12,conjecture,
! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> ( subset(X0,X1)
<=> equal_set(union(difference(X2,X0),X1),X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI32) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X2] :
( ( subset(X0,X2)
& subset(X1,X2) )
=> ( subset(X0,X1)
<=> equal_set(union(difference(X2,X0),X1),X2) ) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f16,plain,
? [X0,X1,X2] :
( ( subset(X0,X1)
<~> equal_set(union(difference(X2,X0),X1),X2) )
& subset(X0,X2)
& subset(X1,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ( subset(X0,X1)
<~> equal_set(union(difference(X2,X0),X1),X2) )
& subset(X0,X2)
& subset(X1,X2) ),
inference(flattening,[],[f16]) ).
fof(f18,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,[],[f14]) ).
fof(f19,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,[],[f18]) ).
fof(f20,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))],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| ~ equal_set(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f22,plain,
! [X0,X1] :
( ( equal_set(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| ~ equal_set(X0,X1) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ member(X0,power_set(X1)) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f26,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(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(flattening,[],[f26]) ).
fof(f28,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(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(flattening,[],[f28]) ).
fof(f33,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ? [X2] :
( member(X2,X1)
& member(X0,X2) )
| ~ member(X0,sum(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ? [X3] :
( member(X3,X1)
& member(X0,X3) )
| ~ member(X0,sum(X1)) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( member(X0,sum(X1))
| ! [X2] :
( ~ member(X2,X1)
| ~ member(X0,X2) ) )
& ( ( member(sK1(X0,X1),X1)
& member(X0,sK1(X0,X1)) )
| ~ member(X0,sum(X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f34]) ).
fof(f39,plain,
? [X0,X1,X2] :
( ( ~ equal_set(union(difference(X2,X0),X1),X2)
| ~ subset(X0,X1) )
& ( equal_set(union(difference(X2,X0),X1),X2)
| subset(X0,X1) )
& subset(X0,X2)
& subset(X1,X2) ),
inference(nnf_transformation,[],[f17]) ).
fof(f40,plain,
? [X0,X1,X2] :
( ( ~ equal_set(union(difference(X2,X0),X1),X2)
| ~ subset(X0,X1) )
& ( equal_set(union(difference(X2,X0),X1),X2)
| subset(X0,X1) )
& subset(X0,X2)
& subset(X1,X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
( ( ~ equal_set(union(difference(sK5,sK3),sK4),sK5)
| ~ subset(sK3,sK4) )
& ( equal_set(union(difference(sK5,sK3),sK4),sK5)
| subset(sK3,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)],[f40]) ).
fof(f42,plain,
! [X3,X0,X1] :
( ~ member(X3,X0)
| member(X3,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( ~ member(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
! [X0,X1] :
( ~ equal_set(X0,X1)
| subset(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| equal_set(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
! [X0,X1] :
( ~ member(X0,power_set(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f49,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f54,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ member(X0,difference(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(X0,difference(X2,X1))
| ~ member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0,X1] :
( member(X0,sK1(X0,X1))
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f66,plain,
! [X0,X1] :
( member(sK1(X0,X1),X1)
| ~ member(X0,sum(X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X0,sum(X1))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f71,plain,
subset(sK4,sK5),
inference(cnf_transformation,[],[f41]) ).
fof(f72,plain,
subset(sK3,sK5),
inference(cnf_transformation,[],[f41]) ).
fof(f73,plain,
( equal_set(union(difference(sK5,sK3),sK4),sK5)
| subset(sK3,sK4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f74,plain,
( ~ equal_set(union(difference(sK5,sK3),sK4),sK5)
| ~ subset(sK3,sK4) ),
inference(cnf_transformation,[],[f41]) ).
fof(f78,definition,
sF6 = difference(sK5,sK3),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f79,plain,
difference(sK5,sK3) = sF6,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF7 = union(sF6,sK4),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f81,plain,
union(sF6,sK4) = sF7,
inference(reorient_equations,[],[f80]) ).
fof(f82,plain,
( ~ equal_set(sF7,sK5)
| ~ subset(sK3,sK4) ),
inference(definition_folding,[],[f74,f81,f79]) ).
fof(f83,plain,
( equal_set(sF7,sK5)
| subset(sK3,sK4) ),
inference(definition_folding,[],[f73,f81,f79]) ).
fof(f85,definition,
( spl8_1
<=> subset(sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f86,plain,
( ~ subset(sK3,sK4)
| spl8_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( subset(sK3,sK4)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl8_2
<=> equal_set(sF7,sK5) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f90,plain,
( ~ equal_set(sF7,sK5)
| spl8_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( equal_set(sF7,sK5)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f83,f89,f85]) ).
fof(f93,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f82,f89,f85]) ).
fof(f94,plain,
( subset(sK5,sF7)
| ~ spl8_2 ),
inference(resolution,[],[f45,f91]) ).
fof(f96,plain,
member(sK4,power_set(sK5)),
inference(resolution,[],[f49,f71]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X2)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f54,f44]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ member(sK0(X0,union(X1,X2)),X1)
| subset(X0,union(X1,X2)) ),
inference(resolution,[],[f55,f44]) ).
fof(f111,plain,
! [X0] :
( ~ member(X0,sF6)
| ~ member(X0,sK3) ),
inference(superposition,[],[f57,f79]) ).
fof(f112,plain,
! [X0] :
( ~ member(X0,sF6)
| member(X0,sK5) ),
inference(superposition,[],[f58,f79]) ).
fof(f128,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| equal_set(X0,X1)
| member(sK0(X1,X0),X1) ),
inference(resolution,[],[f47,f43]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ subset(sK1(X0,X1),X2)
| member(X0,X2)
| ~ member(X0,sum(X1)) ),
inference(resolution,[],[f65,f42]) ).
fof(f152,plain,
! [X0,X1] :
( subset(sK1(X0,power_set(X1)),X1)
| ~ member(X0,sum(power_set(X1))) ),
inference(resolution,[],[f66,f48]) ).
fof(f189,plain,
! [X0] :
( member(X0,sum(power_set(sK5)))
| ~ member(X0,sK4) ),
inference(resolution,[],[f67,f96]) ).
fof(f206,plain,
! [X0] :
( ~ member(X0,sF7)
| member(X0,sK4)
| member(X0,sF6) ),
inference(superposition,[],[f53,f81]) ).
fof(f214,plain,
! [X0] :
( ~ member(X0,sK5)
| member(X0,sF6)
| member(X0,sK3) ),
inference(superposition,[],[f59,f79]) ).
fof(f365,plain,
! [X0,X1] :
( equal_set(X0,X1)
| member(sK0(X1,X0),X1)
| member(sK0(X0,X1),X0) ),
inference(resolution,[],[f128,f43]) ).
fof(f407,plain,
! [X0] :
( ~ member(sK0(X0,sF7),sK4)
| subset(X0,sF7) ),
inference(superposition,[],[f107,f81]) ).
fof(f422,plain,
! [X0] :
( ~ member(sK0(X0,sF7),sF6)
| subset(X0,sF7) ),
inference(superposition,[],[f109,f81]) ).
fof(f429,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,sum(power_set(X1)))
| ~ member(X0,sum(power_set(X1))) ),
inference(resolution,[],[f149,f152]) ).
fof(f431,plain,
! [X0,X1] :
( ~ member(X0,sum(power_set(X1)))
| member(X0,X1) ),
inference(duplicate_literal_removal,[],[f429]) ).
fof(f464,plain,
( member(sK0(sK3,sK4),sK3)
| spl8_1 ),
inference(resolution,[],[f86,f43]) ).
fof(f484,plain,
( ! [X0] :
( ~ subset(sK3,X0)
| member(sK0(sK3,sK4),X0) )
| spl8_1 ),
inference(resolution,[],[f464,f42]) ).
fof(f635,plain,
( member(sK0(sK3,sK4),sK5)
| spl8_1 ),
inference(resolution,[],[f484,f72]) ).
fof(f654,plain,
( ! [X0] :
( ~ subset(sK5,X0)
| member(sK0(sK3,sK4),X0) )
| spl8_1 ),
inference(resolution,[],[f635,f42]) ).
fof(f891,plain,
( member(sK0(sK3,sK4),sF7)
| spl8_1
| ~ spl8_2 ),
inference(resolution,[],[f654,f94]) ).
fof(f1027,plain,
( member(sK0(sK3,sK4),sK4)
| member(sK0(sK3,sK4),sF6)
| spl8_1
| ~ spl8_2 ),
inference(resolution,[],[f891,f206]) ).
fof(f1036,definition,
( spl8_21
<=> member(sK0(sK3,sK4),sF6) ),
introduced(definition,[new_symbols(definition,[spl8_21])],[avatar_definition]) ).
fof(f1038,plain,
( member(sK0(sK3,sK4),sF6)
| ~ spl8_21 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1040,definition,
( spl8_22
<=> member(sK0(sK3,sK4),sK4) ),
introduced(definition,[new_symbols(definition,[spl8_22])],[avatar_definition]) ).
fof(f1042,plain,
( member(sK0(sK3,sK4),sK4)
| ~ spl8_22 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f1043,plain,
( spl8_21
| spl8_22
| spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f1027,f89,f85,f1040,f1036]) ).
fof(f1051,plain,
( member(sK3,power_set(sK4))
| ~ spl8_1 ),
inference(resolution,[],[f87,f49]) ).
fof(f1055,plain,
( ! [X0] :
( member(X0,sum(power_set(sK4)))
| ~ member(X0,sK3) )
| ~ spl8_1 ),
inference(resolution,[],[f1051,f67]) ).
fof(f2547,plain,
! [X0] :
( ~ member(X0,sK4)
| member(X0,sK5) ),
inference(resolution,[],[f431,f189]) ).
fof(f2549,plain,
( ! [X0] :
( ~ member(X0,sK3)
| member(X0,sK4) )
| ~ spl8_1 ),
inference(resolution,[],[f431,f1055]) ).
fof(f4455,plain,
( member(sK0(sK5,sF7),sK5)
| member(sK0(sF7,sK5),sF7)
| spl8_2 ),
inference(resolution,[],[f365,f90]) ).
fof(f4457,definition,
( spl8_43
<=> member(sK0(sF7,sK5),sF7) ),
introduced(definition,[new_symbols(definition,[spl8_43])],[avatar_definition]) ).
fof(f4458,plain,
( ~ member(sK0(sF7,sK5),sF7)
| spl8_43 ),
inference(avatar_component_clause,[],[f4457]) ).
fof(f4459,plain,
( member(sK0(sF7,sK5),sF7)
| ~ spl8_43 ),
inference(avatar_component_clause,[],[f4457]) ).
fof(f4461,definition,
( spl8_44
<=> member(sK0(sK5,sF7),sK5) ),
introduced(definition,[new_symbols(definition,[spl8_44])],[avatar_definition]) ).
fof(f4462,plain,
( ~ member(sK0(sK5,sF7),sK5)
| spl8_44 ),
inference(avatar_component_clause,[],[f4461]) ).
fof(f4463,plain,
( member(sK0(sK5,sF7),sK5)
| ~ spl8_44 ),
inference(avatar_component_clause,[],[f4461]) ).
fof(f4464,plain,
( spl8_43
| spl8_44
| spl8_2 ),
inference(avatar_split_clause,[],[f4455,f89,f4461,f4457]) ).
fof(f4465,plain,
( member(sK0(sF7,sK5),sK4)
| member(sK0(sF7,sK5),sF6)
| ~ spl8_43 ),
inference(resolution,[],[f4459,f206]) ).
fof(f4481,definition,
( spl8_45
<=> member(sK0(sF7,sK5),sF6) ),
introduced(definition,[new_symbols(definition,[spl8_45])],[avatar_definition]) ).
fof(f4483,plain,
( member(sK0(sF7,sK5),sF6)
| ~ spl8_45 ),
inference(avatar_component_clause,[],[f4481]) ).
fof(f4485,definition,
( spl8_46
<=> member(sK0(sF7,sK5),sK4) ),
introduced(definition,[new_symbols(definition,[spl8_46])],[avatar_definition]) ).
fof(f4487,plain,
( member(sK0(sF7,sK5),sK4)
| ~ spl8_46 ),
inference(avatar_component_clause,[],[f4485]) ).
fof(f4488,plain,
( spl8_45
| spl8_46
| ~ spl8_43 ),
inference(avatar_split_clause,[],[f4465,f4457,f4485,f4481]) ).
fof(f4508,plain,
( member(sK0(sF7,sK5),sK5)
| ~ spl8_45 ),
inference(resolution,[],[f4483,f112]) ).
fof(f4529,plain,
( subset(sF7,sK5)
| ~ spl8_45 ),
inference(resolution,[],[f4508,f44]) ).
fof(f4574,definition,
( spl8_48
<=> subset(sK5,sF7) ),
introduced(definition,[new_symbols(definition,[spl8_48])],[avatar_definition]) ).
fof(f4575,plain,
( subset(sK5,sF7)
| ~ spl8_48 ),
inference(avatar_component_clause,[],[f4574]) ).
fof(f4576,plain,
( ~ subset(sK5,sF7)
| spl8_48 ),
inference(avatar_component_clause,[],[f4574]) ).
fof(f4630,plain,
( member(sK0(sK5,sF7),sF6)
| member(sK0(sK5,sF7),sK3)
| ~ spl8_44 ),
inference(resolution,[],[f4463,f214]) ).
fof(f4646,definition,
( spl8_49
<=> member(sK0(sK5,sF7),sK3) ),
introduced(definition,[new_symbols(definition,[spl8_49])],[avatar_definition]) ).
fof(f4648,plain,
( member(sK0(sK5,sF7),sK3)
| ~ spl8_49 ),
inference(avatar_component_clause,[],[f4646]) ).
fof(f4650,definition,
( spl8_50
<=> member(sK0(sK5,sF7),sF6) ),
introduced(definition,[new_symbols(definition,[spl8_50])],[avatar_definition]) ).
fof(f4652,plain,
( member(sK0(sK5,sF7),sF6)
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f4650]) ).
fof(f4653,plain,
( spl8_49
| spl8_50
| ~ spl8_44 ),
inference(avatar_split_clause,[],[f4630,f4461,f4650,f4646]) ).
fof(f4673,plain,
( member(sK0(sK5,sF7),sK4)
| ~ spl8_1
| ~ spl8_49 ),
inference(resolution,[],[f4648,f2549]) ).
fof(f4707,plain,
( subset(sK5,sF7)
| ~ spl8_1
| ~ spl8_49 ),
inference(resolution,[],[f4673,f407]) ).
fof(f4725,plain,
( $false
| ~ spl8_1
| spl8_48
| ~ spl8_49 ),
inference(forward_subsumption_resolution,[],[f4707,f4576]) ).
fof(f4726,plain,
( ~ spl8_1
| spl8_48
| ~ spl8_49 ),
inference(avatar_contradiction_clause,[],[f4725]) ).
fof(f4767,plain,
( ~ subset(sF7,sK5)
| equal_set(sF7,sK5)
| ~ spl8_48 ),
inference(resolution,[],[f4575,f47]) ).
fof(f4769,plain,
( equal_set(sF7,sK5)
| ~ spl8_45
| ~ spl8_48 ),
inference(forward_subsumption_resolution,[],[f4767,f4529]) ).
fof(f4770,plain,
( $false
| spl8_2
| ~ spl8_45
| ~ spl8_48 ),
inference(forward_subsumption_resolution,[],[f4769,f90]) ).
fof(f4771,plain,
( spl8_2
| ~ spl8_45
| ~ spl8_48 ),
inference(avatar_contradiction_clause,[],[f4770]) ).
fof(f4775,plain,
( ~ subset(sF7,sK5)
| spl8_2
| ~ spl8_48 ),
inference(forward_subsumption_resolution,[],[f4767,f90]) ).
fof(f4795,plain,
( member(sK0(sF7,sK5),sF7)
| spl8_2
| ~ spl8_48 ),
inference(resolution,[],[f4775,f43]) ).
fof(f4862,plain,
( member(sK0(sF7,sK5),sK5)
| ~ spl8_46 ),
inference(resolution,[],[f4487,f2547]) ).
fof(f4880,plain,
( subset(sF7,sK5)
| ~ spl8_46 ),
inference(resolution,[],[f4862,f44]) ).
fof(f4906,plain,
( $false
| spl8_2
| ~ spl8_46
| ~ spl8_48 ),
inference(forward_subsumption_resolution,[],[f4880,f4775]) ).
fof(f4907,plain,
( spl8_2
| ~ spl8_46
| ~ spl8_48 ),
inference(avatar_contradiction_clause,[],[f4906]) ).
fof(f4910,plain,
( $false
| spl8_2
| spl8_43
| ~ spl8_48 ),
inference(forward_subsumption_resolution,[],[f4795,f4458]) ).
fof(f4911,plain,
( spl8_2
| spl8_43
| ~ spl8_48 ),
inference(avatar_contradiction_clause,[],[f4910]) ).
fof(f4953,plain,
( member(sK0(sK5,sF7),sK5)
| spl8_48 ),
inference(resolution,[],[f4576,f43]) ).
fof(f5071,plain,
( subset(sK5,sF7)
| ~ spl8_50 ),
inference(resolution,[],[f4652,f422]) ).
fof(f5090,plain,
( $false
| spl8_48
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f5071,f4576]) ).
fof(f5091,plain,
( spl8_48
| ~ spl8_50 ),
inference(avatar_contradiction_clause,[],[f5090]) ).
fof(f5093,plain,
( $false
| spl8_44
| spl8_48 ),
inference(forward_subsumption_resolution,[],[f4953,f4462]) ).
fof(f5094,plain,
( spl8_44
| spl8_48 ),
inference(avatar_contradiction_clause,[],[f5093]) ).
fof(f5104,plain,
( member(sK0(sK3,sK4),sK3)
| spl8_1 ),
inference(resolution,[],[f86,f43]) ).
fof(f5426,plain,
( subset(sK3,sK4)
| ~ spl8_22 ),
inference(resolution,[],[f1042,f44]) ).
fof(f5444,plain,
( $false
| spl8_1
| ~ spl8_22 ),
inference(forward_subsumption_resolution,[],[f5426,f86]) ).
fof(f5445,plain,
( spl8_1
| ~ spl8_22 ),
inference(avatar_contradiction_clause,[],[f5444]) ).
fof(f5669,plain,
( ~ member(sK0(sK3,sK4),sK3)
| ~ spl8_21 ),
inference(resolution,[],[f1038,f111]) ).
fof(f5686,plain,
( $false
| spl8_1
| ~ spl8_21 ),
inference(forward_subsumption_resolution,[],[f5669,f5104]) ).
fof(f5687,plain,
( spl8_1
| ~ spl8_21 ),
inference(avatar_contradiction_clause,[],[f5686]) ).
cnf(s1,plain,
( spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s2,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f93]) ).
cnf(s19,plain,
( spl8_1
| ~ spl8_2
| spl8_21
| spl8_22 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s43,plain,
( spl8_2
| spl8_43
| spl8_44 ),
inference(sat_conversion,[],[f4464]) ).
cnf(s44,plain,
( ~ spl8_43
| spl8_45
| spl8_46 ),
inference(sat_conversion,[],[f4488]) ).
cnf(s47,plain,
( ~ spl8_44
| spl8_49
| spl8_50 ),
inference(sat_conversion,[],[f4653]) ).
cnf(s49,plain,
( ~ spl8_1
| spl8_48
| ~ spl8_49 ),
inference(sat_conversion,[],[f4726]) ).
cnf(s50,plain,
( spl8_2
| ~ spl8_45
| ~ spl8_48 ),
inference(sat_conversion,[],[f4771]) ).
cnf(s53,plain,
( spl8_2
| ~ spl8_46
| ~ spl8_48 ),
inference(sat_conversion,[],[f4907]) ).
cnf(s55,plain,
( spl8_2
| spl8_43
| ~ spl8_48 ),
inference(sat_conversion,[],[f4911]) ).
cnf(s59,plain,
( spl8_48
| ~ spl8_50 ),
inference(sat_conversion,[],[f5091]) ).
cnf(s60,plain,
( spl8_44
| spl8_48 ),
inference(sat_conversion,[],[f5094]) ).
cnf(s73,plain,
( spl8_1
| ~ spl8_22 ),
inference(sat_conversion,[],[f5445]) ).
cnf(s74,plain,
( spl8_1
| ~ spl8_21 ),
inference(sat_conversion,[],[f5687]) ).
cnf(s75,plain,
( spl8_1
| spl8_22
| spl8_21 ),
inference(rat,[],[s1,s19]) ).
cnf(s76,plain,
spl8_1,
inference(rat,[],[s75,s73,s74]) ).
cnf(s77,plain,
~ spl8_2,
inference(rat,[],[s2,s76]) ).
cnf(s78,plain,
spl8_43,
inference(rat,[],[s47,s49,s59,s43,s55,s76,s77]) ).
cnf(s79,plain,
( spl8_48
| ~ spl8_44 ),
inference(rat,[],[s47,s49,s59,s76]) ).
cnf(s80,plain,
~ spl8_48,
inference(rat,[],[s44,s50,s53,s78,s77]) ).
cnf(s81,plain,
spl8_44,
inference(rat,[],[s60,s80]) ).
cnf(s84,plain,
$false,
inference(rat,[],[s79,s81,s80]) ).
fof(f5688,plain,
$false,
inference(avatar_sat_refutation,[],[s84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET698+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:35:39 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 4.03/1.10 % (2937308)Will run a generic schedule for satisfiability detection.
% 4.03/1.10 % (2937313)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1958737075_2999 on theBenchmark for (2999ds/0Mi)
% 4.03/1.10 % TRYING [1]
% 4.03/1.10 % TRYING [2]
% 4.03/1.10 % TRYING [3]
% 4.03/1.10 % TRYING [4]
% 4.03/1.10 % (2937314)% WARNING: option uhcvi not known.
% 4.03/1.10 % TRYING [5]
% 4.03/1.10 % (2937314)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3781543754:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.03/1.10 % (2937315)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1877480762:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.03/1.10 % (2937316)dis+10_1_sil=32000:sp=arity:random_seed=1336814940:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.03/1.10 % (2937317)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1901998507:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.03/1.10 % (2937318)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=436167632:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.03/1.10 % (2937319)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1281051864:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.03/1.10 % TRYING [6]
% 4.03/1.10 % TRYING [7]
% 4.03/1.10 % TRYING [8]
% 4.03/1.10 % (2937316)Instruction limit reached!
% 4.03/1.10 % (2937316)------------------------------
% 4.03/1.10 % (2937316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937316)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937316)Termination reason: Instruction limit
% 4.03/1.10 % (2937316)Termination phase: Saturation
% 4.03/1.10 % (2937316)Time elapsed: 0.064 s
% 4.03/1.10 % (2937316)Peak memory usage: 12 MB
% 4.03/1.10 % (2937316)Instructions burned: 103 (million)
% 4.03/1.10 % (2937317)Instruction limit reached!
% 4.03/1.10 % (2937317)------------------------------
% 4.03/1.10 % (2937317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937317)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937317)Termination reason: Instruction limit
% 4.03/1.10 % (2937317)Termination phase: Saturation
% 4.03/1.10 % (2937317)Time elapsed: 0.070 s
% 4.03/1.10 % (2937317)Peak memory usage: 12 MB
% 4.03/1.10 % (2937317)Instructions burned: 118 (million)
% 4.03/1.10 % (2937327)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1034235806:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.03/1.10 % (2937318)Instruction limit reached!
% 4.03/1.10 % (2937318)------------------------------
% 4.03/1.10 % (2937318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937318)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937318)Termination reason: Instruction limit
% 4.03/1.10 % (2937318)Termination phase: Saturation
% 4.03/1.10 % (2937318)Time elapsed: 0.085 s
% 4.03/1.10 % (2937318)Peak memory usage: 13 MB
% 4.03/1.10 % (2937318)Instructions burned: 133 (million)
% 4.03/1.10 % TRYING [1]
% 4.03/1.10 % TRYING [2]
% 4.03/1.10 % TRYING [3]
% 4.03/1.10 % (2937328)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2020877657:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.03/1.10 % TRYING [4]
% 4.03/1.10 % TRYING [5]
% 4.03/1.10 % (2937330)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=3407431256:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.03/1.10 % (2937319)Instruction limit reached!
% 4.03/1.10 % (2937319)------------------------------
% 4.03/1.10 % (2937319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937319)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937319)Termination reason: Instruction limit
% 4.03/1.10 % (2937319)Termination phase: Saturation
% 4.03/1.10 % (2937319)Time elapsed: 0.111 s
% 4.03/1.10 % (2937319)Peak memory usage: 14 MB
% 4.03/1.10 % (2937319)Instructions burned: 160 (million)
% 4.03/1.10 % TRYING [6]
% 4.03/1.10 % (2937333)ott-21_1_sil=16000:fs=off:random_seed=2758429797:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.03/1.10 % TRYING [7]
% 4.03/1.10 % (2937328)Instruction limit reached!
% 4.03/1.10 % (2937328)------------------------------
% 4.03/1.10 % (2937328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937328)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937328)Termination reason: Instruction limit
% 4.03/1.10 % (2937328)Termination phase: Saturation
% 4.03/1.10 % (2937328)Time elapsed: 0.085 s
% 4.03/1.10 % (2937328)Peak memory usage: 13 MB
% 4.03/1.10 % (2937328)Instructions burned: 132 (million)
% 4.03/1.10 % (2937335)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=920070615:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.03/1.10 % TRYING [9]
% 4.03/1.10 % (2937333)Instruction limit reached!
% 4.03/1.10 % (2937333)------------------------------
% 4.03/1.10 % (2937333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937333)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937333)Termination reason: Instruction limit
% 4.03/1.10 % (2937333)Termination phase: Saturation
% 4.03/1.10 % (2937333)Time elapsed: 0.097 s
% 4.03/1.10 % (2937333)Peak memory usage: 13 MB
% 4.03/1.10 % (2937333)Instructions burned: 180 (million)
% 4.03/1.10 % (2937337)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4242466470:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.03/1.10 % TRYING [1]
% 4.03/1.10 % TRYING [2]
% 4.03/1.10 % TRYING [3]
% 4.03/1.10 % TRYING [4]
% 4.03/1.10 % TRYING [5]
% 4.03/1.10 % TRYING [6]
% 4.03/1.10 % TRYING [7]
% 4.03/1.10 % TRYING [8]
% 4.03/1.10 % TRYING [8]
% 4.03/1.10 % (2937327)Instruction limit reached!
% 4.03/1.10 % (2937327)------------------------------
% 4.03/1.10 % (2937327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937327)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937327)Termination reason: Instruction limit
% 4.03/1.10 % (2937327)Termination phase: Finite model building SAT solving
% 4.03/1.10 % (2937327)Time elapsed: 0.348 s
% 4.03/1.10 % (2937327)Peak memory usage: 20 MB
% 4.03/1.10 % (2937327)Instructions burned: 716 (million)
% 4.03/1.10 % (2937339)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2889565251:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.03/1.10 % (2937335)Instruction limit reached!
% 4.03/1.10 % (2937335)------------------------------
% 4.03/1.10 % (2937335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937335)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937335)Termination reason: Instruction limit
% 4.03/1.10 % (2937335)Termination phase: Saturation
% 4.03/1.10 % (2937335)Time elapsed: 0.299 s
% 4.03/1.10 % (2937335)Peak memory usage: 14 MB
% 4.03/1.10 % (2937335)Instructions burned: 478 (million)
% 4.03/1.10 % (2937330)Instruction limit reached!
% 4.03/1.10 % (2937330)------------------------------
% 4.03/1.10 % (2937330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937330)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937330)Termination reason: Instruction limit
% 4.03/1.10 % (2937330)Termination phase: Saturation
% 4.03/1.10 % (2937330)Time elapsed: 0.390 s
% 4.03/1.10 % (2937330)Peak memory usage: 18 MB
% 4.03/1.10 % (2937330)Instructions burned: 685 (million)
% 4.03/1.10 % (2937358)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1073325975:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.03/1.10 % (2937359)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=630690885: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)
% 4.03/1.10 % TRYING [14]
% 4.03/1.10 % (2937337)Instruction limit reached!
% 4.03/1.10 % (2937337)------------------------------
% 4.03/1.10 % (2937337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937337)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937337)Termination reason: Instruction limit
% 4.03/1.10 % (2937337)Termination phase: Finite model building SAT solving
% 4.03/1.10 % (2937337)Time elapsed: 0.333 s
% 4.03/1.10 % (2937337)Peak memory usage: 17 MB
% 4.03/1.10 % (2937337)Instructions burned: 866 (million)
% 4.03/1.10 % TRYING [10]
% 4.03/1.10 % (2937398)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2056639462:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 4.03/1.10 % (2937339) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2937308-2937339"...
% 4.03/1.10 % (2937339)...printing done.
% 4.03/1.10 % (2937339)Refutation found. Thanks to Tanya!
% 4.03/1.10 % SZS status Theorem for theBenchmark
% 4.03/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 4.03/1.10 % (2937339)------------------------------
% 4.03/1.10 % (2937339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.03/1.10 % (2937339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.10 % (2937339)CaDiCaL version: 2.1.3
% 4.03/1.10 % (2937339)Termination reason: Refutation
% 4.03/1.10 % (2937339)Time elapsed: 0.191 s
% 4.03/1.10 % (2937339)Peak memory usage: 16 MB
% 4.03/1.10 % (2937339)Instructions burned: 306 (million)
% 4.03/1.10 % (2937308)Success in time 0.683 s
% 4.03/1.10 % Vampire exiting
%------------------------------------------------------------------------------