TSTP Solution File: SET655+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET655+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n019.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 : Wed May 1 03:48:30 EDT 2024
% Result : Theorem 0.62s 0.77s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 69 ( 18 unt; 0 def)
% Number of atoms : 362 ( 0 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 445 ( 152 ~; 129 |; 108 &)
% ( 11 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 163 ( 122 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f399,plain,
$false,
inference(unit_resulting_resolution,[],[f118,f118,f118,f118,f124,f125,f339,f84]) ).
fof(f84,plain,
! [X2,X3,X0,X1] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p2) ).
fof(f339,plain,
~ subset(cross_product(sK9,sK11),cross_product(sK10,sK12)),
inference(unit_resulting_resolution,[],[f118,f118,f162,f118,f294,f88]) ).
fof(f88,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X1,set_type)
| member(X3,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f54,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK1(X0,X1),X1)
& member(sK1(X0,X1),X0)
& ilf_type(sK1(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( ( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,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,[],[f29]) ).
fof(f29,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,[],[f5]) ).
fof(f5,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/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p5) ).
fof(f294,plain,
member(sK3(sK13,cross_product(sK10,sK12)),cross_product(sK9,sK11)),
inference(unit_resulting_resolution,[],[f118,f163,f118,f118,f194,f97]) ).
fof(f97,plain,
! [X3,X0,X1] :
( ~ member(X0,power_set(X1))
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0)
& ilf_type(sK3(X0,X1),set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0)
& ilf_type(sK3(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0)
| ~ ilf_type(X3,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X2,set_type) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,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,[],[f35]) ).
fof(f35,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,[],[f10]) ).
fof(f10,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/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p10) ).
fof(f194,plain,
member(sK13,power_set(cross_product(sK9,sK11))),
inference(unit_resulting_resolution,[],[f118,f128,f118,f186,f103]) ).
fof(f103,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(cnf_transformation,[],[f64]) ).
fof(f64,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,[],[f39]) ).
fof(f39,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,[],[f38]) ).
fof(f38,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,[],[f12]) ).
fof(f12,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/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p12) ).
fof(f186,plain,
ilf_type(sK13,member_type(power_set(cross_product(sK9,sK11)))),
inference(unit_resulting_resolution,[],[f118,f118,f182,f93]) ).
fof(f93,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,[],[f57]) ).
fof(f57,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,[],[f32]) ).
fof(f32,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,[],[f7]) ).
fof(f7,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/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p7) ).
fof(f182,plain,
ilf_type(sK13,subset_type(cross_product(sK9,sK11))),
inference(unit_resulting_resolution,[],[f118,f118,f123,f86]) ).
fof(f86,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,[],[f27]) ).
fof(f27,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,[],[f22]) ).
fof(f22,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,[],[f3]) ).
fof(f3,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/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p3) ).
fof(f123,plain,
ilf_type(sK13,relation_type(sK9,sK11)),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ~ ilf_type(sK13,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(sK13,relation_type(sK9,sK11))
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type)
& ilf_type(sK10,set_type)
& ilf_type(sK9,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f50,f81,f80,f79,f78,f77]) ).
fof(f77,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(X0,X1)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(sK9,X1)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(sK9,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(sK9,X1)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(X2,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(sK10,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(X2,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(sK11,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
& ilf_type(X3,set_type) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,X3))
& subset(sK11,X3)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
& ilf_type(X3,set_type) )
=> ( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
( ? [X4] :
( ~ ilf_type(X4,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(X4,relation_type(sK9,sK11)) )
=> ( ~ ilf_type(sK13,relation_type(sK10,sK12))
& subset(sK11,sK12)
& subset(sK9,sK10)
& ilf_type(sK13,relation_type(sK9,sK11)) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(X0,X1)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ ilf_type(X4,relation_type(X1,X3))
& subset(X2,X3)
& subset(X0,X1)
& ilf_type(X4,relation_type(X0,X2)) )
& ilf_type(X3,set_type) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X2))
=> ( ( subset(X2,X3)
& subset(X0,X1) )
=> ilf_type(X4,relation_type(X1,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',prove_relset_1_17) ).
fof(f128,plain,
! [X0] : ~ empty(power_set(X0)),
inference(unit_resulting_resolution,[],[f118,f101]) ).
fof(f101,plain,
! [X0] :
( ~ empty(power_set(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p11) ).
fof(f163,plain,
member(sK3(sK13,cross_product(sK10,sK12)),sK13),
inference(unit_resulting_resolution,[],[f118,f118,f161,f99]) ).
fof(f99,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f161,plain,
~ member(sK13,power_set(cross_product(sK10,sK12))),
inference(unit_resulting_resolution,[],[f118,f128,f118,f159,f104]) ).
fof(f104,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(cnf_transformation,[],[f64]) ).
fof(f159,plain,
~ ilf_type(sK13,member_type(power_set(cross_product(sK10,sK12)))),
inference(unit_resulting_resolution,[],[f118,f118,f155,f94]) ).
fof(f94,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,[],[f57]) ).
fof(f155,plain,
~ ilf_type(sK13,subset_type(cross_product(sK10,sK12))),
inference(unit_resulting_resolution,[],[f118,f118,f126,f85]) ).
fof(f85,plain,
! [X3,X0,X1] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f27]) ).
fof(f126,plain,
~ ilf_type(sK13,relation_type(sK10,sK12)),
inference(cnf_transformation,[],[f82]) ).
fof(f162,plain,
~ member(sK3(sK13,cross_product(sK10,sK12)),cross_product(sK10,sK12)),
inference(unit_resulting_resolution,[],[f118,f118,f161,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| member(X0,power_set(X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f63]) ).
fof(f125,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f82]) ).
fof(f124,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f82]) ).
fof(f118,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557',p19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET655+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 17:15:29 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.fZi4fwHk9w/Vampire---4.8_29557
% 0.59/0.75 % (29824)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.59/0.75 % (29825)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.75 % (29818)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (29820)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (29819)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.59/0.75 % (29823)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.75 % (29821)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.75 % (29822)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.59/0.75 % (29825)Refutation not found, incomplete strategy% (29825)------------------------------
% 0.59/0.75 % (29825)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (29825)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (29825)Memory used [KB]: 1025
% 0.59/0.75 % (29825)Time elapsed: 0.003 s
% 0.59/0.75 % (29825)Instructions burned: 3 (million)
% 0.59/0.75 % (29825)------------------------------
% 0.59/0.75 % (29825)------------------------------
% 0.59/0.75 % (29823)Refutation not found, incomplete strategy% (29823)------------------------------
% 0.59/0.75 % (29823)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (29823)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (29823)Memory used [KB]: 1024
% 0.59/0.75 % (29823)Time elapsed: 0.003 s
% 0.59/0.75 % (29823)Instructions burned: 3 (million)
% 0.59/0.75 % (29823)------------------------------
% 0.59/0.75 % (29823)------------------------------
% 0.59/0.75 % (29821)Refutation not found, incomplete strategy% (29821)------------------------------
% 0.59/0.75 % (29821)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (29821)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (29821)Memory used [KB]: 1028
% 0.59/0.75 % (29821)Time elapsed: 0.003 s
% 0.59/0.75 % (29821)Instructions burned: 3 (million)
% 0.59/0.75 % (29821)------------------------------
% 0.59/0.75 % (29821)------------------------------
% 0.59/0.75 % (29826)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.76 % (29828)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.76 % (29827)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.76 % (29818)Refutation not found, incomplete strategy% (29818)------------------------------
% 0.59/0.76 % (29818)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (29818)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (29818)Memory used [KB]: 1090
% 0.59/0.76 % (29818)Time elapsed: 0.011 s
% 0.59/0.76 % (29818)Instructions burned: 22 (million)
% 0.59/0.76 % (29818)------------------------------
% 0.59/0.76 % (29818)------------------------------
% 0.62/0.76 % (29829)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.62/0.77 % (29822)Instruction limit reached!
% 0.62/0.77 % (29822)------------------------------
% 0.62/0.77 % (29822)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77 % (29822)Termination reason: Unknown
% 0.62/0.77 % (29822)Termination phase: Saturation
% 0.62/0.77
% 0.62/0.77 % (29822)Memory used [KB]: 1276
% 0.62/0.77 % (29822)Time elapsed: 0.018 s
% 0.62/0.77 % (29822)Instructions burned: 34 (million)
% 0.62/0.77 % (29822)------------------------------
% 0.62/0.77 % (29822)------------------------------
% 0.62/0.77 % (29826)First to succeed.
% 0.62/0.77 % (29830)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.62/0.77 % (29826)Refutation found. Thanks to Tanya!
% 0.62/0.77 % SZS status Theorem for Vampire---4
% 0.62/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77 % (29826)------------------------------
% 0.62/0.77 % (29826)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77 % (29826)Termination reason: Refutation
% 0.62/0.77
% 0.62/0.77 % (29826)Memory used [KB]: 1290
% 0.62/0.77 % (29826)Time elapsed: 0.018 s
% 0.62/0.77 % (29826)Instructions burned: 29 (million)
% 0.62/0.77 % (29826)------------------------------
% 0.62/0.77 % (29826)------------------------------
% 0.62/0.77 % (29814)Success in time 0.398 s
% 0.62/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------