TSTP Solution File: SET656+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET656+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:15:10 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 16 unt; 0 def)
% Number of atoms : 316 ( 17 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 381 ( 148 ~; 129 |; 54 &)
% ( 15 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 173 ( 155 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2487,plain,
$false,
inference(unit_resulting_resolution,[],[f173,f772,f293]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(subsumption_resolution,[],[f292,f175]) ).
fof(f175,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30) ).
fof(f292,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f220,f175]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X3,subset_type(cross_product(X0,X1))) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6) ).
fof(f772,plain,
~ ilf_type(sK23,subset_type(cross_product(sK21,sK22))),
inference(unit_resulting_resolution,[],[f759,f310]) ).
fof(f310,plain,
! [X0,X1] :
( ~ ilf_type(X1,subset_type(X0))
| ilf_type(X1,member_type(power_set(X0))) ),
inference(subsumption_resolution,[],[f309,f175]) ).
fof(f309,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f246,f175]) ).
fof(f246,plain,
! [X0,X1] :
( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) )
& ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
fof(f759,plain,
~ ilf_type(sK23,member_type(power_set(cross_product(sK21,sK22)))),
inference(unit_resulting_resolution,[],[f281,f735,f330]) ).
fof(f330,plain,
! [X0,X1] :
( ~ ilf_type(X0,member_type(X1))
| member(X0,X1)
| empty(X1) ),
inference(subsumption_resolution,[],[f329,f175]) ).
fof(f329,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f267,f175]) ).
fof(f267,plain,
! [X0,X1] :
( member(X0,X1)
| ~ ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| ~ ilf_type(X1,set_type)
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
fof(f735,plain,
~ member(sK23,power_set(cross_product(sK21,sK22))),
inference(unit_resulting_resolution,[],[f476,f306,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ sP16(X0,X1)
| ~ member(X0,power_set(X1))
| sP15(X1,X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ( ( member(X0,power_set(X1))
| ~ sP15(X1,X0) )
& ( sP15(X1,X0)
| ~ member(X0,power_set(X1)) ) )
| ~ sP16(X0,X1) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( member(X0,power_set(X1))
<=> sP15(X1,X0) )
| ~ sP16(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f306,plain,
! [X0,X1] : sP16(X0,X1),
inference(subsumption_resolution,[],[f305,f175]) ).
fof(f305,plain,
! [X0,X1] :
( sP16(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f245,f175]) ).
fof(f245,plain,
! [X0,X1] :
( sP16(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( sP16(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f56,f93,f92]) ).
fof(f92,plain,
! [X1,X0] :
( sP15(X1,X0)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X0,power_set(X1))
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
fof(f476,plain,
~ sP15(cross_product(sK21,sK22),sK23),
inference(unit_resulting_resolution,[],[f437,f438,f304]) ).
fof(f304,plain,
! [X3,X0,X1] :
( ~ sP15(X0,X1)
| ~ member(X3,X1)
| member(X3,X0) ),
inference(subsumption_resolution,[],[f241,f175]) ).
fof(f241,plain,
! [X3,X0,X1] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type)
| ~ sP15(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( sP15(X0,X1)
| ( ~ member(sK32(X0,X1),X0)
& member(sK32(X0,X1),X1)
& ilf_type(sK32(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP15(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f147,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1)
& ilf_type(X2,set_type) )
=> ( ~ member(sK32(X0,X1),X0)
& member(sK32(X0,X1),X1)
& ilf_type(sK32(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
! [X0,X1] :
( ( sP15(X0,X1)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP15(X0,X1) ) ),
inference(rectify,[],[f146]) ).
fof(f146,plain,
! [X1,X0] :
( ( sP15(X1,X0)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ sP15(X1,X0) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f438,plain,
member(sK31(cross_product(sK21,sK22),sK23),sK23),
inference(unit_resulting_resolution,[],[f432,f236]) ).
fof(f236,plain,
! [X0,X1] :
( sP13(X0,X1)
| member(sK31(X0,X1),X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ( sP13(X0,X1)
| ( ~ member(sK31(X0,X1),X0)
& member(sK31(X0,X1),X1)
& ilf_type(sK31(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP13(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f142,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X0)
& member(X2,X1)
& ilf_type(X2,set_type) )
=> ( ~ member(sK31(X0,X1),X0)
& member(sK31(X0,X1),X1)
& ilf_type(sK31(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0,X1] :
( ( sP13(X0,X1)
| ? [X2] :
( ~ member(X2,X0)
& member(X2,X1)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X0)
| ~ member(X3,X1)
| ~ ilf_type(X3,set_type) )
| ~ sP13(X0,X1) ) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( ( sP13(X1,X0)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ sP13(X1,X0) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( sP13(X1,X0)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f432,plain,
~ sP13(cross_product(sK21,sK22),sK23),
inference(unit_resulting_resolution,[],[f375,f303,f233]) ).
fof(f233,plain,
! [X0,X1] :
( ~ sP14(X0,X1)
| ~ sP13(X1,X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( ( ( subset(X0,X1)
| ~ sP13(X1,X0) )
& ( sP13(X1,X0)
| ~ subset(X0,X1) ) )
| ~ sP14(X0,X1) ),
inference(nnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( ( subset(X0,X1)
<=> sP13(X1,X0) )
| ~ sP14(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f303,plain,
! [X0,X1] : sP14(X0,X1),
inference(subsumption_resolution,[],[f302,f175]) ).
fof(f302,plain,
! [X0,X1] :
( sP14(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f238,f175]) ).
fof(f238,plain,
! [X0,X1] :
( sP14(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( sP14(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(definition_folding,[],[f54,f90,f89]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
<=> ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p17) ).
fof(f375,plain,
~ subset(sK23,cross_product(sK21,sK22)),
inference(unit_resulting_resolution,[],[f174,f297]) ).
fof(f297,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| intersection(X0,X1) = X0 ),
inference(subsumption_resolution,[],[f296,f175]) ).
fof(f296,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1)
| ~ ilf_type(X0,set_type) ),
inference(subsumption_resolution,[],[f221,f175]) ).
fof(f221,plain,
! [X0,X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( intersection(X0,X1) = X0
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( subset(X0,X1)
=> intersection(X0,X1) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f174,plain,
sK23 != intersection(sK23,cross_product(sK21,sK22)),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( sK23 != intersection(sK23,cross_product(sK21,sK22))
& ilf_type(sK23,relation_type(sK21,sK22))
& ilf_type(sK22,set_type)
& ilf_type(sK21,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22,sK23])],[f34,f103,f102,f101]) ).
fof(f101,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(X0,X1)) != X2
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(sK21,X1)) != X2
& ilf_type(X2,relation_type(sK21,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(sK21,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(sK21,X1)) != X2
& ilf_type(X2,relation_type(sK21,X1)) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( intersection(X2,cross_product(sK21,sK22)) != X2
& ilf_type(X2,relation_type(sK21,sK22)) )
& ilf_type(sK22,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
( ? [X2] :
( intersection(X2,cross_product(sK21,sK22)) != X2
& ilf_type(X2,relation_type(sK21,sK22)) )
=> ( sK23 != intersection(sK23,cross_product(sK21,sK22))
& ilf_type(sK23,relation_type(sK21,sK22)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( intersection(X2,cross_product(X0,X1)) != X2
& ilf_type(X2,relation_type(X0,X1)) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> intersection(X2,cross_product(X0,X1)) = X2 ) ) ),
inference(negated_conjecture,[],[f31]) ).
fof(f31,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> intersection(X2,cross_product(X0,X1)) = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_18) ).
fof(f437,plain,
~ member(sK31(cross_product(sK21,sK22),sK23),cross_product(sK21,sK22)),
inference(unit_resulting_resolution,[],[f432,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ member(sK31(X0,X1),X0)
| sP13(X0,X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f281,plain,
! [X0] : ~ empty(power_set(X0)),
inference(subsumption_resolution,[],[f190,f175]) ).
fof(f190,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f173,plain,
ilf_type(sK23,relation_type(sK21,sK22)),
inference(cnf_transformation,[],[f104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET656+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 16:50:37 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28057)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28060)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28060)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28061)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28059)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28063)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (28064)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (28062)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (28058)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.41 TRYING [1]
% 0.14/0.42 TRYING [2]
% 0.20/0.42 TRYING [4]
% 0.20/0.42 % (28064)First to succeed.
% 0.20/0.42 % (28064)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28057"
% 0.20/0.43 % (28064)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.43 % (28064)------------------------------
% 0.20/0.43 % (28064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.43 % (28064)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (28064)Memory used [KB]: 1612
% 0.20/0.43 % (28064)Time elapsed: 0.045 s
% 0.20/0.43 % (28064)Instructions burned: 85 (million)
% 0.20/0.43 % (28057)Success in time 0.062 s
%------------------------------------------------------------------------------