TSTP Solution File: SET648+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET648+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 : n029.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 18:21:44 EDT 2022
% Result : Theorem 0.21s 0.58s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 81 ( 13 unt; 0 def)
% Number of atoms : 339 ( 0 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 420 ( 162 ~; 147 |; 58 &)
% ( 13 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 135 ( 121 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f380,plain,
$false,
inference(avatar_sat_refutation,[],[f282,f359,f379]) ).
fof(f379,plain,
~ spl14_2,
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl14_2 ),
inference(subsumption_resolution,[],[f370,f152]) ).
fof(f152,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26) ).
fof(f370,plain,
( ~ ilf_type(cross_product(domain_of(sK2),sK1),set_type)
| ~ spl14_2 ),
inference(unit_resulting_resolution,[],[f281,f143]) ).
fof(f143,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ empty(power_set(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ilf_type(power_set(X0),set_type)
& ~ empty(power_set(X0)) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,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',p21) ).
fof(f281,plain,
( empty(power_set(cross_product(domain_of(sK2),sK1)))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl14_2
<=> empty(power_set(cross_product(domain_of(sK2),sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f359,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f358]) ).
fof(f358,plain,
( $false
| spl14_1 ),
inference(subsumption_resolution,[],[f350,f328]) ).
fof(f328,plain,
( ~ member(sK9(sK2,cross_product(domain_of(sK2),sK1)),cross_product(domain_of(sK2),sK1))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f152,f152,f277,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ member(sK9(X0,X1),X1)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| member(X0,power_set(X1)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,power_set(X1))
| ( ilf_type(sK9(X0,X1),set_type)
& ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f90,f91]) ).
fof(f91,plain,
! [X0,X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) )
=> ( ilf_type(sK9(X0,X1),set_type)
& ~ member(sK9(X0,X1),X1)
& member(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( ~ ilf_type(X3,set_type)
| member(X3,X1)
| ~ member(X3,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( member(X0,power_set(X1))
| ? [X2] :
( ilf_type(X2,set_type)
& ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) )
| ~ member(X0,power_set(X1)) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( member(X0,power_set(X1))
<=> ! [X2] :
( ~ ilf_type(X2,set_type)
| member(X2,X1)
| ~ member(X2,X0) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ( ! [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(ennf_transformation,[],[f20]) ).
fof(f20,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) ) )
<=> member(X0,power_set(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p20) ).
fof(f277,plain,
( ~ member(sK2,power_set(cross_product(domain_of(sK2),sK1)))
| spl14_1 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl14_1
<=> member(sK2,power_set(cross_product(domain_of(sK2),sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f350,plain,
( member(sK9(sK2,cross_product(domain_of(sK2),sK1)),cross_product(domain_of(sK2),sK1))
| spl14_1 ),
inference(unit_resulting_resolution,[],[f235,f152,f152,f152,f327,f156]) ).
fof(f156,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK13(X0,X1),X0)
& ilf_type(sK13(X0,X1),set_type)
& ~ member(sK13(X0,X1),X1) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f103,f104]) ).
fof(f104,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ilf_type(X3,set_type)
& ~ member(X3,X1) )
=> ( member(sK13(X0,X1),X0)
& ilf_type(sK13(X0,X1),set_type)
& ~ member(sK13(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f103,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ilf_type(X3,set_type)
& ~ member(X3,X1) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ilf_type(X2,set_type)
& ~ member(X2,X1) ) ) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| ~ ilf_type(X2,set_type)
| member(X2,X1) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f58]) ).
fof(f58,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,[],[f12]) ).
fof(f12,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/sandbox/benchmark/theBenchmark.p',p12) ).
fof(f327,plain,
( member(sK9(sK2,cross_product(domain_of(sK2),sK1)),sK2)
| spl14_1 ),
inference(unit_resulting_resolution,[],[f152,f152,f277,f136]) ).
fof(f136,plain,
! [X0,X1] :
( member(X0,power_set(X1))
| ~ ilf_type(X0,set_type)
| member(sK9(X0,X1),X0)
| ~ ilf_type(X1,set_type) ),
inference(cnf_transformation,[],[f92]) ).
fof(f235,plain,
subset(sK2,cross_product(domain_of(sK2),sK1)),
inference(unit_resulting_resolution,[],[f152,f161,f152,f152,f187,f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X1,X2)
| subset(X0,X2)
| ~ ilf_type(X0,set_type)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ subset(X0,X1)
| subset(X0,X2)
| ~ subset(X1,X2)
| ~ ilf_type(X2,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2)
| ~ 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(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f187,plain,
! [X0] : subset(cross_product(X0,range_of(sK2)),cross_product(X0,sK1)),
inference(unit_resulting_resolution,[],[f152,f152,f152,f115,f106]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ ilf_type(X2,set_type)
| subset(cross_product(X2,X0),cross_product(X2,X1))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ( subset(cross_product(X0,X2),cross_product(X1,X2))
& subset(cross_product(X2,X0),cross_product(X2,X1)) )
| ~ subset(X0,X1) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subset(cross_product(X0,X2),cross_product(X1,X2))
& subset(cross_product(X2,X0),cross_product(X2,X1)) )
| ~ subset(X0,X1)
| ~ 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)
=> ( subset(X0,X1)
=> ( subset(cross_product(X0,X2),cross_product(X1,X2))
& subset(cross_product(X2,X0),cross_product(X2,X1)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f115,plain,
subset(range_of(sK2),sK1),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ilf_type(sK1,set_type)
& ilf_type(sK2,binary_relation_type)
& subset(range_of(sK2),sK1)
& ~ ilf_type(sK2,relation_type(domain_of(sK2),sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f31,f70,f69]) ).
fof(f69,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,binary_relation_type)
& subset(range_of(X1),X0)
& ~ ilf_type(X1,relation_type(domain_of(X1),X0)) ) )
=> ( ilf_type(sK1,set_type)
& ? [X1] :
( ilf_type(X1,binary_relation_type)
& subset(range_of(X1),sK1)
& ~ ilf_type(X1,relation_type(domain_of(X1),sK1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
( ? [X1] :
( ilf_type(X1,binary_relation_type)
& subset(range_of(X1),sK1)
& ~ ilf_type(X1,relation_type(domain_of(X1),sK1)) )
=> ( ilf_type(sK2,binary_relation_type)
& subset(range_of(sK2),sK1)
& ~ ilf_type(sK2,relation_type(domain_of(sK2),sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] :
( ilf_type(X0,set_type)
& ? [X1] :
( ilf_type(X1,binary_relation_type)
& subset(range_of(X1),X0)
& ~ ilf_type(X1,relation_type(domain_of(X1),X0)) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0] :
( ? [X1] :
( ~ ilf_type(X1,relation_type(domain_of(X1),X0))
& subset(range_of(X1),X0)
& ilf_type(X1,binary_relation_type) )
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(range_of(X1),X0)
=> ilf_type(X1,relation_type(domain_of(X1),X0)) ) ) ),
inference(negated_conjecture,[],[f27]) ).
fof(f27,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( subset(range_of(X1),X0)
=> ilf_type(X1,relation_type(domain_of(X1),X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_10) ).
fof(f161,plain,
subset(sK2,cross_product(domain_of(sK2),range_of(sK2))),
inference(unit_resulting_resolution,[],[f116,f110]) ).
fof(f110,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| subset(X0,cross_product(domain_of(X0),range_of(X0))) ),
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/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f116,plain,
ilf_type(sK2,binary_relation_type),
inference(cnf_transformation,[],[f71]) ).
fof(f282,plain,
( ~ spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f273,f279,f275]) ).
fof(f273,plain,
( empty(power_set(cross_product(domain_of(sK2),sK1)))
| ~ member(sK2,power_set(cross_product(domain_of(sK2),sK1))) ),
inference(subsumption_resolution,[],[f272,f152]) ).
fof(f272,plain,
( ~ member(sK2,power_set(cross_product(domain_of(sK2),sK1)))
| ~ ilf_type(sK2,set_type)
| empty(power_set(cross_product(domain_of(sK2),sK1))) ),
inference(subsumption_resolution,[],[f271,f152]) ).
fof(f271,plain,
( ~ ilf_type(power_set(cross_product(domain_of(sK2),sK1)),set_type)
| ~ ilf_type(sK2,set_type)
| ~ member(sK2,power_set(cross_product(domain_of(sK2),sK1)))
| empty(power_set(cross_product(domain_of(sK2),sK1))) ),
inference(resolution,[],[f221,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| empty(X1)
| ~ ilf_type(X0,set_type)
| ~ member(X0,X1)
| ilf_type(X0,member_type(X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| empty(X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22) ).
fof(f221,plain,
~ ilf_type(sK2,member_type(power_set(cross_product(domain_of(sK2),sK1)))),
inference(unit_resulting_resolution,[],[f152,f152,f199,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X1,subset_type(X0))
| ~ ilf_type(X1,member_type(power_set(X0))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ( ilf_type(X1,member_type(power_set(X0)))
| ~ ilf_type(X1,subset_type(X0)) )
& ( 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(nnf_transformation,[],[f50]) ).
fof(f50,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(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ilf_type(X1,member_type(power_set(X0)))
<=> ilf_type(X1,subset_type(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
fof(f199,plain,
~ ilf_type(sK2,subset_type(cross_product(domain_of(sK2),sK1))),
inference(subsumption_resolution,[],[f198,f152]) ).
fof(f198,plain,
( ~ ilf_type(sK2,subset_type(cross_product(domain_of(sK2),sK1)))
| ~ ilf_type(domain_of(sK2),set_type) ),
inference(subsumption_resolution,[],[f197,f152]) ).
fof(f197,plain,
( ~ ilf_type(sK2,subset_type(cross_product(domain_of(sK2),sK1)))
| ~ ilf_type(sK1,set_type)
| ~ ilf_type(domain_of(sK2),set_type) ),
inference(resolution,[],[f114,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [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,relation_type(X0,X1))
| ilf_type(X3,subset_type(cross_product(X0,X1))) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [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,relation_type(X0,X1))
| ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ) ),
inference(rectify,[],[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/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f114,plain,
~ ilf_type(sK2,relation_type(domain_of(sK2),sK1)),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET648+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:19:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (856)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)
% 0.21/0.51 % (857)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)
% 0.21/0.51 % (867)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)
% 0.21/0.52 % (876)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)
% 0.21/0.53 % (866)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)
% 0.21/0.53 % (857)Instruction limit reached!
% 0.21/0.53 % (857)------------------------------
% 0.21/0.53 % (857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (856)Instruction limit reached!
% 0.21/0.53 % (856)------------------------------
% 0.21/0.53 % (856)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (852)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)
% 0.21/0.53 % (875)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)
% 0.21/0.53 % (882)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)
% 0.21/0.53 % (854)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)
% 0.21/0.54 % (852)Refutation not found, incomplete strategy% (852)------------------------------
% 0.21/0.54 % (852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (852)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (852)Memory used [KB]: 6012
% 0.21/0.54 % (852)Time elapsed: 0.123 s
% 0.21/0.54 % (852)Instructions burned: 3 (million)
% 0.21/0.54 % (852)------------------------------
% 0.21/0.54 % (852)------------------------------
% 0.21/0.54 % (866)Refutation not found, incomplete strategy% (866)------------------------------
% 0.21/0.54 % (866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (877)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)
% 0.21/0.54 % (866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (866)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (866)Memory used [KB]: 1535
% 0.21/0.54 % (866)Time elapsed: 0.130 s
% 0.21/0.54 % (866)Instructions burned: 4 (million)
% 0.21/0.54 % (866)------------------------------
% 0.21/0.54 % (866)------------------------------
% 0.21/0.54 % (857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (857)Termination reason: Unknown
% 0.21/0.54 % (857)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (857)Memory used [KB]: 1663
% 0.21/0.54 % (857)Time elapsed: 0.115 s
% 0.21/0.54 % (857)Instructions burned: 15 (million)
% 0.21/0.54 % (857)------------------------------
% 0.21/0.54 % (857)------------------------------
% 0.21/0.54 % (858)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)
% 0.21/0.54 % (851)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.54 % (864)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)
% 0.21/0.54 % (856)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (856)Termination reason: Unknown
% 0.21/0.54 % (856)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (856)Memory used [KB]: 6140
% 0.21/0.54 % (853)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)
% 0.21/0.54 % (856)Time elapsed: 0.129 s
% 0.21/0.54 % (856)Instructions burned: 13 (million)
% 0.21/0.54 % (856)------------------------------
% 0.21/0.54 % (856)------------------------------
% 0.21/0.54 % (853)Instruction limit reached!
% 0.21/0.54 % (853)------------------------------
% 0.21/0.54 % (853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (853)Termination reason: Unknown
% 0.21/0.54 % (853)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (853)Memory used [KB]: 1535
% 0.21/0.54 % (853)Time elapsed: 0.003 s
% 0.21/0.54 % (853)Instructions burned: 3 (million)
% 0.21/0.54 % (853)------------------------------
% 0.21/0.54 % (853)------------------------------
% 0.21/0.54 % (868)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)
% 0.21/0.54 % (878)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)
% 0.21/0.54 % (868)Instruction limit reached!
% 0.21/0.54 % (868)------------------------------
% 0.21/0.54 % (868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (868)Termination reason: Unknown
% 0.21/0.54 % (868)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (868)Memory used [KB]: 1407
% 0.21/0.54 % (868)Time elapsed: 0.002 s
% 0.21/0.54 % (868)Instructions burned: 3 (million)
% 0.21/0.54 % (868)------------------------------
% 0.21/0.54 % (868)------------------------------
% 0.21/0.54 % (859)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)
% 0.21/0.55 % (883)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)
% 0.21/0.55 % (873)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)
% 0.21/0.55 % (869)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)
% 0.21/0.55 % (870)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)
% 0.21/0.55 % (872)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)
% 0.21/0.55 % (879)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)
% 0.21/0.55 % (874)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)
% 0.21/0.55 % (869)Instruction limit reached!
% 0.21/0.55 % (869)------------------------------
% 0.21/0.55 % (869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (869)Termination reason: Unknown
% 0.21/0.55 % (869)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (869)Memory used [KB]: 6140
% 0.21/0.55 % (869)Time elapsed: 0.102 s
% 0.21/0.55 % (869)Instructions burned: 7 (million)
% 0.21/0.55 % (869)------------------------------
% 0.21/0.55 % (869)------------------------------
% 0.21/0.55 % (877)Refutation not found, incomplete strategy% (877)------------------------------
% 0.21/0.55 % (877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (877)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (877)Memory used [KB]: 1535
% 0.21/0.55 % (877)Time elapsed: 0.100 s
% 0.21/0.55 % (877)Instructions burned: 4 (million)
% 0.21/0.55 % (877)------------------------------
% 0.21/0.55 % (877)------------------------------
% 0.21/0.55 % (861)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)
% 0.21/0.56 % (871)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (865)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)
% 0.21/0.56 % (860)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)
% 0.21/0.56 % (871)Instruction limit reached!
% 0.21/0.56 % (871)------------------------------
% 0.21/0.56 % (871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (881)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)
% 0.21/0.56 % (880)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)
% 0.21/0.56 % (882)Refutation not found, incomplete strategy% (882)------------------------------
% 0.21/0.56 % (882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (882)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (882)Memory used [KB]: 6012
% 0.21/0.56 % (882)Time elapsed: 0.153 s
% 0.21/0.56 % (882)Instructions burned: 4 (million)
% 0.21/0.56 % (882)------------------------------
% 0.21/0.56 % (882)------------------------------
% 0.21/0.56 % (865)Instruction limit reached!
% 0.21/0.56 % (865)------------------------------
% 0.21/0.56 % (865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (865)Termination reason: Unknown
% 0.21/0.56 % (865)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (865)Memory used [KB]: 6140
% 0.21/0.56 % (865)Time elapsed: 0.158 s
% 0.21/0.56 % (865)Instructions burned: 8 (million)
% 0.21/0.56 % (865)------------------------------
% 0.21/0.56 % (865)------------------------------
% 0.21/0.56 % (880)Refutation not found, incomplete strategy% (880)------------------------------
% 0.21/0.56 % (880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (880)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (880)Memory used [KB]: 6140
% 0.21/0.56 % (880)Time elapsed: 0.155 s
% 0.21/0.56 % (880)Instructions burned: 4 (million)
% 0.21/0.56 % (880)------------------------------
% 0.21/0.56 % (880)------------------------------
% 0.21/0.56 % (864)Instruction limit reached!
% 0.21/0.56 % (864)------------------------------
% 0.21/0.56 % (864)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (864)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (864)Termination reason: Unknown
% 0.21/0.56 % (864)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (864)Memory used [KB]: 6140
% 0.21/0.56 % (864)Time elapsed: 0.139 s
% 0.21/0.56 % (864)Instructions burned: 13 (million)
% 0.21/0.56 % (864)------------------------------
% 0.21/0.56 % (864)------------------------------
% 0.21/0.56 % (873)Refutation not found, incomplete strategy% (873)------------------------------
% 0.21/0.56 % (873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (873)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (873)Memory used [KB]: 6012
% 0.21/0.56 % (873)Time elapsed: 0.156 s
% 0.21/0.56 % (873)Instructions burned: 3 (million)
% 0.21/0.56 % (873)------------------------------
% 0.21/0.56 % (873)------------------------------
% 0.21/0.57 % (867)Refutation not found, non-redundant clauses discarded% (867)------------------------------
% 0.21/0.57 % (867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (867)Termination reason: Refutation not found, non-redundant clauses discarded
% 0.21/0.57
% 0.21/0.57 % (867)Memory used [KB]: 6908
% 0.21/0.57 % (867)Time elapsed: 0.144 s
% 0.21/0.57 % (867)Instructions burned: 48 (million)
% 0.21/0.57 % (867)------------------------------
% 0.21/0.57 % (867)------------------------------
% 0.21/0.57 % (871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (871)Termination reason: Unknown
% 0.21/0.57 % (871)Termination phase: Property scanning
% 0.21/0.57
% 0.21/0.57 % (871)Memory used [KB]: 1535
% 0.21/0.57 % (871)Time elapsed: 0.003 s
% 0.21/0.57 % (871)Instructions burned: 3 (million)
% 0.21/0.57 % (871)------------------------------
% 0.21/0.57 % (871)------------------------------
% 0.21/0.57 % (870)Refutation not found, incomplete strategy% (870)------------------------------
% 0.21/0.57 % (870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (870)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (870)Memory used [KB]: 6140
% 0.21/0.57 % (870)Time elapsed: 0.166 s
% 0.21/0.57 % (870)Instructions burned: 4 (million)
% 0.21/0.57 % (870)------------------------------
% 0.21/0.57 % (870)------------------------------
% 0.21/0.58 % (859)First to succeed.
% 0.21/0.58 % (872)Instruction limit reached!
% 0.21/0.58 % (872)------------------------------
% 0.21/0.58 % (872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (872)Termination reason: Unknown
% 0.21/0.58 % (872)Termination phase: Preprocessing 3
% 0.21/0.58
% 0.21/0.58 % (872)Memory used [KB]: 1407
% 0.21/0.58 % (872)Time elapsed: 0.003 s
% 0.21/0.58 % (872)Instructions burned: 2 (million)
% 0.21/0.58 % (872)------------------------------
% 0.21/0.58 % (872)------------------------------
% 0.21/0.58 % (859)Refutation found. Thanks to Tanya!
% 0.21/0.58 % SZS status Theorem for theBenchmark
% 0.21/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58 % (859)------------------------------
% 0.21/0.58 % (859)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (859)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (859)Termination reason: Refutation
% 0.21/0.58
% 0.21/0.58 % (859)Memory used [KB]: 6268
% 0.21/0.58 % (859)Time elapsed: 0.125 s
% 0.21/0.58 % (859)Instructions burned: 11 (million)
% 0.21/0.58 % (859)------------------------------
% 0.21/0.58 % (859)------------------------------
% 0.21/0.58 % (845)Success in time 0.213 s
%------------------------------------------------------------------------------