TSTP Solution File: SET651+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET651+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n010.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 Aug 31 18:21:45 EDT 2022
% Result : Theorem 1.50s 0.56s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 98 ( 17 unt; 0 def)
% Number of atoms : 427 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 526 ( 197 ~; 178 |; 86 &)
% ( 15 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 177 ( 147 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f598,plain,
$false,
inference(avatar_sat_refutation,[],[f290,f587,f597]) ).
fof(f597,plain,
~ spl15_1,
inference(avatar_contradiction_clause,[],[f596]) ).
fof(f596,plain,
( $false
| ~ spl15_1 ),
inference(subsumption_resolution,[],[f588,f114]) ).
fof(f114,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f588,plain,
( ~ ilf_type(cross_product(sK11,sK12),set_type)
| ~ spl15_1 ),
inference(unit_resulting_resolution,[],[f285,f149]) ).
fof(f149,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f285,plain,
( empty(power_set(cross_product(sK11,sK12)))
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl15_1
<=> empty(power_set(cross_product(sK11,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f587,plain,
spl15_2,
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| spl15_2 ),
inference(subsumption_resolution,[],[f577,f331]) ).
fof(f331,plain,
( ~ member(sK9(sK13,cross_product(sK11,sK12)),cross_product(sK11,sK12))
| spl15_2 ),
inference(unit_resulting_resolution,[],[f114,f114,f289,f142]) ).
fof(f142,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ member(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0)
& ilf_type(sK9(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,[sK9])],[f90,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0)
& ilf_type(X2,set_type) )
=> ( ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0)
& ilf_type(sK9(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f90,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,[],[f89]) ).
fof(f89,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,[],[f43]) ).
fof(f43,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,[],[f42]) ).
fof(f42,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,[],[f18]) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',p18) ).
fof(f289,plain,
( ~ member(sK13,power_set(cross_product(sK11,sK12)))
| spl15_2 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl15_2
<=> member(sK13,power_set(cross_product(sK11,sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f577,plain,
( member(sK9(sK13,cross_product(sK11,sK12)),cross_product(sK11,sK12))
| spl15_2 ),
inference(unit_resulting_resolution,[],[f402,f114,f114,f114,f330,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ilf_type(sK14(X0,X1),set_type)
& ~ member(sK14(X0,X1),X1)
& member(sK14(X0,X1),X0) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f99,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X3] :
( ilf_type(X3,set_type)
& ~ member(X3,X1)
& member(X3,X0) )
=> ( ilf_type(sK14(X0,X1),set_type)
& ~ member(sK14(X0,X1),X1)
& member(sK14(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( ilf_type(X3,set_type)
& ~ member(X3,X1)
& member(X3,X0) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ! [X1] :
( ( ! [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(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ( member(X2,X0)
=> member(X2,X1) ) )
<=> subset(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
fof(f330,plain,
( member(sK9(sK13,cross_product(sK11,sK12)),sK13)
| spl15_2 ),
inference(unit_resulting_resolution,[],[f114,f114,f289,f141]) ).
fof(f141,plain,
! [X0,X1] :
( member(sK9(X0,X1),X0)
| member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f402,plain,
subset(sK13,cross_product(sK11,sK12)),
inference(unit_resulting_resolution,[],[f114,f114,f177,f114,f246,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| subset(X0,X2)
| ~ subset(X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X1,X2)
| ~ subset(X0,X1)
| ~ ilf_type(X2,set_type) )
| ~ 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)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ( subset(X1,X2)
& subset(X0,X1) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f246,plain,
subset(sK13,cross_product(domain_of(sK13),range_of(sK13))),
inference(unit_resulting_resolution,[],[f238,f128]) ).
fof(f128,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( subset(X0,cross_product(domain_of(X0),range_of(X0)))
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f238,plain,
ilf_type(sK13,binary_relation_type),
inference(unit_resulting_resolution,[],[f114,f201,f156]) ).
fof(f156,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ( ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) )
& ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( ( relation_like(X0)
& ilf_type(X0,set_type) )
<=> ilf_type(X0,binary_relation_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ( relation_like(X0)
& ilf_type(X0,set_type) )
<=> ilf_type(X0,binary_relation_type) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
fof(f201,plain,
relation_like(sK13),
inference(unit_resulting_resolution,[],[f114,f114,f168,f120]) ).
fof(f120,plain,
! [X2,X0,X1] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2) ) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
fof(f168,plain,
ilf_type(sK13,subset_type(cross_product(sK10,sK12))),
inference(unit_resulting_resolution,[],[f114,f114,f145,f102]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X3,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,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,[],[f4]) ).
fof(f4,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/sandbox2/benchmark/theBenchmark.p',p4) ).
fof(f145,plain,
ilf_type(sK13,relation_type(sK10,sK12)),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ilf_type(sK10,set_type)
& subset(domain_of(sK13),sK11)
& ~ ilf_type(sK13,relation_type(sK11,sK12))
& ilf_type(sK13,relation_type(sK10,sK12))
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f41,f96,f95,f94,f93]) ).
fof(f93,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(domain_of(X3),X1)
& ~ ilf_type(X3,relation_type(X1,X2))
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) ) )
=> ( ilf_type(sK10,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(domain_of(X3),X1)
& ~ ilf_type(X3,relation_type(X1,X2))
& ilf_type(X3,relation_type(sK10,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(domain_of(X3),X1)
& ~ ilf_type(X3,relation_type(X1,X2))
& ilf_type(X3,relation_type(sK10,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
=> ( ? [X2] :
( ? [X3] :
( subset(domain_of(X3),sK11)
& ~ ilf_type(X3,relation_type(sK11,X2))
& ilf_type(X3,relation_type(sK10,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(sK11,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X2] :
( ? [X3] :
( subset(domain_of(X3),sK11)
& ~ ilf_type(X3,relation_type(sK11,X2))
& ilf_type(X3,relation_type(sK10,X2)) )
& ilf_type(X2,set_type) )
=> ( ? [X3] :
( subset(domain_of(X3),sK11)
& ~ ilf_type(X3,relation_type(sK11,sK12))
& ilf_type(X3,relation_type(sK10,sK12)) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X3] :
( subset(domain_of(X3),sK11)
& ~ ilf_type(X3,relation_type(sK11,sK12))
& ilf_type(X3,relation_type(sK10,sK12)) )
=> ( subset(domain_of(sK13),sK11)
& ~ ilf_type(sK13,relation_type(sK11,sK12))
& ilf_type(sK13,relation_type(sK10,sK12)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( subset(domain_of(X3),X1)
& ~ ilf_type(X3,relation_type(X1,X2))
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ ilf_type(X3,relation_type(X1,X2))
& subset(domain_of(X3),X1)
& ilf_type(X3,relation_type(X0,X2)) )
& ilf_type(X2,set_type) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,relation_type(X0,X2))
=> ( subset(domain_of(X3),X1)
=> ilf_type(X3,relation_type(X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_13) ).
fof(f177,plain,
subset(cross_product(domain_of(sK13),range_of(sK13)),cross_product(sK11,sK12)),
inference(unit_resulting_resolution,[],[f147,f114,f114,f114,f114,f167,f155]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ ilf_type(X0,set_type)
| subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ ilf_type(X1,set_type)
| ~ subset(X2,X3)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type)
| ~ subset(X0,X1) )
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( subset(cross_product(X0,X2),cross_product(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,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(X0,X1)
& subset(X2,X3) )
=> subset(cross_product(X0,X2),cross_product(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f167,plain,
subset(range_of(sK13),sK12),
inference(unit_resulting_resolution,[],[f114,f114,f145,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| subset(range_of(X2),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ( subset(range_of(X2),X1)
& subset(domain_of(X2),X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f147,plain,
subset(domain_of(sK13),sK11),
inference(cnf_transformation,[],[f97]) ).
fof(f290,plain,
( spl15_1
| ~ spl15_2 ),
inference(avatar_split_clause,[],[f281,f287,f283]) ).
fof(f281,plain,
( ~ member(sK13,power_set(cross_product(sK11,sK12)))
| empty(power_set(cross_product(sK11,sK12))) ),
inference(subsumption_resolution,[],[f280,f114]) ).
fof(f280,plain,
( ~ member(sK13,power_set(cross_product(sK11,sK12)))
| empty(power_set(cross_product(sK11,sK12)))
| ~ ilf_type(power_set(cross_product(sK11,sK12)),set_type) ),
inference(subsumption_resolution,[],[f279,f114]) ).
fof(f279,plain,
( ~ member(sK13,power_set(cross_product(sK11,sK12)))
| ~ ilf_type(sK13,set_type)
| empty(power_set(cross_product(sK11,sK12)))
| ~ ilf_type(power_set(cross_product(sK11,sK12)),set_type) ),
inference(resolution,[],[f212,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| empty(X1)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1))
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) )
& ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) ) )
| empty(X1)
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) )
| empty(X1)
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f55]) ).
fof(f55,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(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ( member(X0,X1)
<=> ilf_type(X0,member_type(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
fof(f212,plain,
~ ilf_type(sK13,member_type(power_set(cross_product(sK11,sK12)))),
inference(subsumption_resolution,[],[f211,f114]) ).
fof(f211,plain,
( ~ ilf_type(sK13,member_type(power_set(cross_product(sK11,sK12))))
| ~ ilf_type(cross_product(sK11,sK12),set_type) ),
inference(subsumption_resolution,[],[f210,f114]) ).
fof(f210,plain,
( ~ ilf_type(sK13,set_type)
| ~ ilf_type(cross_product(sK11,sK12),set_type)
| ~ ilf_type(sK13,member_type(power_set(cross_product(sK11,sK12)))) ),
inference(resolution,[],[f173,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [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) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ilf_type(X1,subset_type(X0))
<=> ilf_type(X1,member_type(power_set(X0))) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',p15) ).
fof(f173,plain,
~ ilf_type(sK13,subset_type(cross_product(sK11,sK12))),
inference(unit_resulting_resolution,[],[f114,f114,f146,f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) ),
inference(cnf_transformation,[],[f30]) ).
fof(f146,plain,
~ ilf_type(sK13,relation_type(sK11,sK12)),
inference(cnf_transformation,[],[f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET651+3 : TPTP v8.1.0. Released v2.2.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 14:02:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (6556)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.51 % (6556)Instruction limit reached!
% 0.19/0.51 % (6556)------------------------------
% 0.19/0.51 % (6556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (6555)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (6572)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (6564)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (6553)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (6554)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (6553)Instruction limit reached!
% 0.19/0.52 % (6553)------------------------------
% 0.19/0.52 % (6553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (6553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (6553)Termination reason: Unknown
% 0.19/0.52 % (6553)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (6553)Memory used [KB]: 1535
% 0.19/0.52 % (6553)Time elapsed: 0.004 s
% 0.19/0.52 % (6553)Instructions burned: 3 (million)
% 0.19/0.52 % (6553)------------------------------
% 0.19/0.52 % (6553)------------------------------
% 0.19/0.52 % (6571)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.52 % (6557)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (6561)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (6560)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (6551)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (6562)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (6563)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (6570)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53 % (6573)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (6578)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (6570)Refutation not found, incomplete strategy% (6570)------------------------------
% 0.19/0.53 % (6570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (6570)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (6570)Memory used [KB]: 6012
% 0.19/0.53 % (6570)Time elapsed: 0.132 s
% 0.19/0.53 % (6570)Instructions burned: 4 (million)
% 0.19/0.53 % (6570)------------------------------
% 0.19/0.53 % (6570)------------------------------
% 0.19/0.53 % (6575)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (6556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (6556)Termination reason: Unknown
% 0.19/0.53 % (6556)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (6556)Memory used [KB]: 1663
% 0.19/0.53 % (6556)Time elapsed: 0.098 s
% 0.19/0.53 % (6556)Instructions burned: 17 (million)
% 0.19/0.53 % (6556)------------------------------
% 0.19/0.53 % (6556)------------------------------
% 0.19/0.53 % (6580)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (6578)Refutation not found, incomplete strategy% (6578)------------------------------
% 0.19/0.53 % (6578)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6579)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (6569)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (6569)Instruction limit reached!
% 0.19/0.53 % (6569)------------------------------
% 0.19/0.53 % (6569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6567)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (6574)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.53 % (6581)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (6580)Refutation not found, incomplete strategy% (6580)------------------------------
% 0.19/0.53 % (6580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6552)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (6563)Instruction limit reached!
% 0.19/0.53 % (6563)------------------------------
% 0.19/0.53 % (6563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (6558)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (6552)Refutation not found, incomplete strategy% (6552)------------------------------
% 0.19/0.54 % (6552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6552)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (6552)Memory used [KB]: 6012
% 0.19/0.54 % (6552)Time elapsed: 0.133 s
% 0.19/0.54 % (6552)Instructions burned: 4 (million)
% 0.19/0.54 % (6552)------------------------------
% 0.19/0.54 % (6552)------------------------------
% 0.19/0.54 % (6566)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (6568)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (6568)Instruction limit reached!
% 0.19/0.54 % (6568)------------------------------
% 0.19/0.54 % (6568)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6562)Instruction limit reached!
% 0.19/0.54 % (6562)------------------------------
% 0.19/0.54 % (6562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6568)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6568)Termination reason: Unknown
% 0.19/0.54 % (6562)Termination reason: Unknown
% 0.19/0.54 % (6568)Termination phase: Finite model building preprocessing
% 0.19/0.54 % (6562)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 % (6568)Memory used [KB]: 1535
% 0.19/0.54 % (6562)Memory used [KB]: 6140
% 0.19/0.54 % (6568)Time elapsed: 0.003 s
% 0.19/0.54 % (6562)Time elapsed: 0.144 s
% 0.19/0.54 % (6568)Instructions burned: 5 (million)
% 0.19/0.54 % (6562)Instructions burned: 7 (million)
% 0.19/0.54 % (6568)------------------------------
% 0.19/0.54 % (6568)------------------------------
% 0.19/0.54 % (6562)------------------------------
% 0.19/0.54 % (6562)------------------------------
% 0.19/0.54 % (6577)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54 % (6555)Instruction limit reached!
% 0.19/0.54 % (6555)------------------------------
% 0.19/0.54 % (6555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6555)Termination reason: Unknown
% 0.19/0.54 % (6555)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (6555)Memory used [KB]: 6140
% 0.19/0.54 % (6555)Time elapsed: 0.123 s
% 0.19/0.54 % (6555)Instructions burned: 14 (million)
% 0.19/0.54 % (6555)------------------------------
% 0.19/0.54 % (6555)------------------------------
% 0.19/0.54 % (6565)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (6565)Instruction limit reached!
% 0.19/0.54 % (6565)------------------------------
% 0.19/0.54 % (6565)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (6565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6565)Termination reason: Unknown
% 0.19/0.54 % (6565)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (6565)Memory used [KB]: 6012
% 0.19/0.54 % (6565)Time elapsed: 0.003 s
% 0.19/0.54 % (6565)Instructions burned: 4 (million)
% 0.19/0.54 % (6565)------------------------------
% 0.19/0.54 % (6565)------------------------------
% 0.19/0.54 % (6578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6578)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (6578)Memory used [KB]: 6012
% 0.19/0.54 % (6578)Time elapsed: 0.128 s
% 0.19/0.54 % (6578)Instructions burned: 4 (million)
% 0.19/0.54 % (6578)------------------------------
% 0.19/0.54 % (6578)------------------------------
% 0.19/0.54 % (6563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (6563)Termination reason: Unknown
% 0.19/0.54 % (6563)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (6563)Memory used [KB]: 1791
% 0.19/0.54 % (6563)Time elapsed: 0.137 s
% 0.19/0.54 % (6563)Instructions burned: 18 (million)
% 0.19/0.54 % (6563)------------------------------
% 0.19/0.54 % (6563)------------------------------
% 0.19/0.54 % (6580)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (6580)Memory used [KB]: 6012
% 0.19/0.54 % (6580)Time elapsed: 0.137 s
% 0.19/0.54 % (6580)Instructions burned: 4 (million)
% 0.19/0.54 % (6580)------------------------------
% 0.19/0.54 % (6580)------------------------------
% 0.19/0.55 % (6571)Instruction limit reached!
% 0.19/0.55 % (6571)------------------------------
% 0.19/0.55 % (6571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (6571)Termination reason: Unknown
% 0.19/0.55 % (6571)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (6571)Memory used [KB]: 6140
% 0.19/0.55 % (6571)Time elapsed: 0.152 s
% 0.19/0.55 % (6571)Instructions burned: 30 (million)
% 0.19/0.55 % (6571)------------------------------
% 0.19/0.55 % (6571)------------------------------
% 0.19/0.55 % (6561)Instruction limit reached!
% 0.19/0.55 % (6561)------------------------------
% 0.19/0.55 % (6561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (6561)Termination reason: Unknown
% 0.19/0.55 % (6561)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (6561)Memory used [KB]: 6140
% 0.19/0.55 % (6561)Time elapsed: 0.113 s
% 0.19/0.55 % (6561)Instructions burned: 14 (million)
% 0.19/0.55 % (6561)------------------------------
% 0.19/0.55 % (6561)------------------------------
% 0.19/0.55 % (6558)First to succeed.
% 0.19/0.55 % (6567)Refutation not found, incomplete strategy% (6567)------------------------------
% 0.19/0.55 % (6567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (6559)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.50/0.55 % (6569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (6569)Termination reason: Unknown
% 1.50/0.55 % (6569)Termination phase: Preprocessing 3
% 1.50/0.55
% 1.50/0.55 % (6569)Memory used [KB]: 1407
% 1.50/0.55 % (6569)Time elapsed: 0.002 s
% 1.50/0.55 % (6569)Instructions burned: 2 (million)
% 1.50/0.55 % (6569)------------------------------
% 1.50/0.55 % (6569)------------------------------
% 1.50/0.56 % (6567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (6567)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56
% 1.50/0.56 % (6567)Memory used [KB]: 6140
% 1.50/0.56 % (6567)Time elapsed: 0.144 s
% 1.50/0.56 % (6567)Instructions burned: 5 (million)
% 1.50/0.56 % (6567)------------------------------
% 1.50/0.56 % (6567)------------------------------
% 1.50/0.56 % (6566)Instruction limit reached!
% 1.50/0.56 % (6566)------------------------------
% 1.50/0.56 % (6566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (6566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (6566)Termination reason: Unknown
% 1.50/0.56 % (6566)Termination phase: Saturation
% 1.50/0.56
% 1.50/0.56 % (6566)Memory used [KB]: 6140
% 1.50/0.56 % (6566)Time elapsed: 0.102 s
% 1.50/0.56 % (6566)Instructions burned: 7 (million)
% 1.50/0.56 % (6566)------------------------------
% 1.50/0.56 % (6566)------------------------------
% 1.50/0.56 % (6558)Refutation found. Thanks to Tanya!
% 1.50/0.56 % SZS status Theorem for theBenchmark
% 1.50/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.56 % (6558)------------------------------
% 1.50/0.56 % (6558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56 % (6558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56 % (6558)Termination reason: Refutation
% 1.50/0.56
% 1.50/0.56 % (6558)Memory used [KB]: 6396
% 1.50/0.56 % (6558)Time elapsed: 0.145 s
% 1.50/0.56 % (6558)Instructions burned: 22 (million)
% 1.50/0.56 % (6558)------------------------------
% 1.50/0.56 % (6558)------------------------------
% 1.50/0.56 % (6545)Success in time 0.205 s
%------------------------------------------------------------------------------