TSTP Solution File: SET665+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET665+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 : n011.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 18:21:48 EDT 2022
% Result : Theorem 1.45s 0.54s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of formulae : 82 ( 6 unt; 0 def)
% Number of atoms : 419 ( 40 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 533 ( 196 ~; 189 |; 106 &)
% ( 16 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% Number of variables : 172 ( 133 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f592,plain,
$false,
inference(avatar_sat_refutation,[],[f203,f208,f411,f421,f591]) ).
fof(f591,plain,
( spl15_2
| ~ spl15_4 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| spl15_2
| ~ spl15_4 ),
inference(subsumption_resolution,[],[f568,f516]) ).
fof(f516,plain,
( ~ member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK0(identity_relation_of(sK2),cross_product(sK2,sK2))),cross_product(sK2,sK2))
| spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f198,f468]) ).
fof(f468,plain,
( sK1(identity_relation_of(sK2),cross_product(sK2,sK2)) = sK0(identity_relation_of(sK2),cross_product(sK2,sK2))
| ~ spl15_4 ),
inference(unit_resulting_resolution,[],[f126,f126,f126,f207,f164]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| X1 = X2
| ~ ilf_type(X2,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ( ( ( member(X1,X0)
& X1 = X2 )
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) )
& ( member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ member(X1,X0)
| X1 != X2 ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) ) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ( ( ( member(X1,X0)
& X1 = X2 )
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0)) )
& ( member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ member(X1,X0)
| X1 != X2 ) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ( ( member(X1,X0)
& X1 = X2 )
<=> member(ordered_pair(X1,X2),identity_relation_of(X0)) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,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)
=> ( ( member(X1,X0)
& X1 = X2 )
<=> member(ordered_pair(X1,X2),identity_relation_of(X0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f207,plain,
( member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK1(identity_relation_of(sK2),cross_product(sK2,sK2))),identity_relation_of(sK2))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl15_4
<=> member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK1(identity_relation_of(sK2),cross_product(sK2,sK2))),identity_relation_of(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f126,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
fof(f198,plain,
( ~ member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK1(identity_relation_of(sK2),cross_product(sK2,sK2))),cross_product(sK2,sK2))
| spl15_2 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl15_2
<=> member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK1(identity_relation_of(sK2),cross_product(sK2,sK2))),cross_product(sK2,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f568,plain,
( member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK0(identity_relation_of(sK2),cross_product(sK2,sK2))),cross_product(sK2,sK2))
| ~ spl15_4 ),
inference(unit_resulting_resolution,[],[f471,f126,f126,f126,f126,f126,f471,f176]) ).
fof(f176,plain,
! [X0,X1,X6,X5] :
( ~ ilf_type(ordered_pair(X5,X6),set_type)
| member(ordered_pair(X5,X6),cross_product(X0,X1))
| ~ ilf_type(X1,set_type)
| ~ member(X6,X1)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(X6,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(X5,X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,plain,
! [X2,X0,X1,X6,X5] :
( ~ ilf_type(X2,set_type)
| member(X2,cross_product(X0,X1))
| ~ ilf_type(X5,set_type)
| ~ member(X5,X0)
| ~ member(X6,X1)
| ~ ilf_type(X6,set_type)
| ordered_pair(X5,X6) != X2
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ( ilf_type(sK6(X0,X1,X2),set_type)
& member(sK6(X0,X1,X2),X0)
& member(sK7(X0,X1,X2),X1)
& ilf_type(sK7(X0,X1,X2),set_type)
& ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 )
| ~ member(X2,cross_product(X0,X1)) )
& ( member(X2,cross_product(X0,X1))
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ member(X5,X0)
| ~ member(X6,X1)
| ~ ilf_type(X6,set_type)
| ordered_pair(X5,X6) != X2 ) ) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f86,f88,f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( member(X3,X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(X3,X4) = X2 ) )
=> ( ilf_type(sK6(X0,X1,X2),set_type)
& ? [X4] :
( member(sK6(X0,X1,X2),X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(sK6(X0,X1,X2),X4) = X2 ) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ? [X4] :
( member(sK6(X0,X1,X2),X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(sK6(X0,X1,X2),X4) = X2 )
=> ( member(sK6(X0,X1,X2),X0)
& member(sK7(X0,X1,X2),X1)
& ilf_type(sK7(X0,X1,X2),set_type)
& ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2 ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( member(X3,X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(X3,X4) = X2 ) )
| ~ member(X2,cross_product(X0,X1)) )
& ( member(X2,cross_product(X0,X1))
| ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ~ member(X5,X0)
| ~ member(X6,X1)
| ~ ilf_type(X6,set_type)
| ordered_pair(X5,X6) != X2 ) ) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ( ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( member(X3,X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(X3,X4) = X2 ) )
| ~ member(X2,cross_product(X0,X1)) )
& ( member(X2,cross_product(X0,X1))
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ~ member(X3,X0)
| ~ member(X4,X1)
| ~ ilf_type(X4,set_type)
| ordered_pair(X3,X4) != X2 ) ) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ( ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( member(X3,X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(X3,X4) = X2 ) )
<=> member(X2,cross_product(X0,X1)) ) )
| ~ 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)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ( ? [X3] :
( ilf_type(X3,set_type)
& ? [X4] :
( member(X3,X0)
& member(X4,X1)
& ilf_type(X4,set_type)
& ordered_pair(X3,X4) = X2 ) )
<=> member(X2,cross_product(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
fof(f471,plain,
( member(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK2)
| ~ spl15_4 ),
inference(unit_resulting_resolution,[],[f126,f126,f126,f207,f165]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ member(ordered_pair(X1,X2),identity_relation_of(X0))
| ~ ilf_type(X2,set_type)
| member(X1,X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f421,plain,
spl15_3,
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| spl15_3 ),
inference(subsumption_resolution,[],[f412,f126]) ).
fof(f412,plain,
( ~ ilf_type(sK2,set_type)
| spl15_3 ),
inference(unit_resulting_resolution,[],[f202,f136]) ).
fof(f136,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ilf_type(identity_relation_of(X0),binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ilf_type(identity_relation_of(X0),binary_relation_type) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f202,plain,
( ~ ilf_type(identity_relation_of(sK2),binary_relation_type)
| spl15_3 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f200,plain,
( spl15_3
<=> ilf_type(identity_relation_of(sK2),binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f411,plain,
spl15_1,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| spl15_1 ),
inference(subsumption_resolution,[],[f367,f216]) ).
fof(f216,plain,
( ! [X0,X1] : ordered_pair(X0,X1) != sK11(cross_product(sK2,sK2))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f126,f126,f126,f211,f157]) ).
fof(f157,plain,
! [X0,X6,X5] :
( ~ ilf_type(X6,set_type)
| relation_like(X0)
| ~ ilf_type(X5,set_type)
| ordered_pair(X5,X6) != sK11(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ( ilf_type(sK9(X1),set_type)
& ordered_pair(sK9(X1),sK10(X1)) = X1
& ilf_type(sK10(X1),set_type) ) )
| ~ relation_like(X0) )
& ( relation_like(X0)
| ( ilf_type(sK11(X0),set_type)
& member(sK11(X0),X0)
& ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ordered_pair(X5,X6) != sK11(X0)
| ~ ilf_type(X6,set_type) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f97,f100,f99,f98]) ).
fof(f98,plain,
! [X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) ) )
=> ( ilf_type(sK9(X1),set_type)
& ? [X3] :
( ordered_pair(sK9(X1),X3) = X1
& ilf_type(X3,set_type) ) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X1] :
( ? [X3] :
( ordered_pair(sK9(X1),X3) = X1
& ilf_type(X3,set_type) )
=> ( ordered_pair(sK9(X1),sK10(X1)) = X1
& ilf_type(sK10(X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0] :
( ? [X4] :
( ilf_type(X4,set_type)
& member(X4,X0)
& ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ordered_pair(X5,X6) != X4
| ~ ilf_type(X6,set_type) ) ) )
=> ( ilf_type(sK11(X0),set_type)
& member(sK11(X0),X0)
& ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ordered_pair(X5,X6) != sK11(X0)
| ~ ilf_type(X6,set_type) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) ) ) )
| ~ relation_like(X0) )
& ( relation_like(X0)
| ? [X4] :
( ilf_type(X4,set_type)
& member(X4,X0)
& ! [X5] :
( ~ ilf_type(X5,set_type)
| ! [X6] :
( ordered_pair(X5,X6) != X4
| ~ ilf_type(X6,set_type) ) ) ) ) ) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) ) ) )
| ~ relation_like(X0) )
& ( relation_like(X0)
| ? [X1] :
( ilf_type(X1,set_type)
& member(X1,X0)
& ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ordered_pair(X2,X3) != X1
| ~ ilf_type(X3,set_type) ) ) ) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ! [X1] :
( ~ ilf_type(X1,set_type)
| ~ member(X1,X0)
| ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) ) ) )
<=> relation_like(X0) ) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( ! [X1] :
( ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) ) )
| ~ member(X1,X0)
| ~ ilf_type(X1,set_type) )
<=> relation_like(X0) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ! [X1] :
( ilf_type(X1,set_type)
=> ( member(X1,X0)
=> ? [X2] :
( ilf_type(X2,set_type)
& ? [X3] :
( ordered_pair(X2,X3) = X1
& ilf_type(X3,set_type) ) ) ) )
<=> relation_like(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
fof(f211,plain,
( ~ relation_like(cross_product(sK2,sK2))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f126,f194,f178]) ).
fof(f178,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) ),
inference(duplicate_literal_removal,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0)
| ~ ilf_type(X0,set_type) )
& ( ( relation_like(X0)
& ilf_type(X0,set_type) )
| ~ ilf_type(X0,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( relation_like(X0)
& ilf_type(X0,set_type) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
fof(f194,plain,
( ~ ilf_type(cross_product(sK2,sK2),binary_relation_type)
| spl15_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl15_1
<=> ilf_type(cross_product(sK2,sK2),binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f367,plain,
( ordered_pair(sK6(sK2,sK2,sK11(cross_product(sK2,sK2))),sK7(sK2,sK2,sK11(cross_product(sK2,sK2)))) = sK11(cross_product(sK2,sK2))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f126,f126,f126,f213,f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ ilf_type(X1,set_type)
| ordered_pair(sK6(X0,X1,X2),sK7(X0,X1,X2)) = X2
| ~ ilf_type(X0,set_type)
| ~ member(X2,cross_product(X0,X1))
| ~ ilf_type(X2,set_type) ),
inference(cnf_transformation,[],[f89]) ).
fof(f213,plain,
( member(sK11(cross_product(sK2,sK2)),cross_product(sK2,sK2))
| spl15_1 ),
inference(unit_resulting_resolution,[],[f126,f211,f158]) ).
fof(f158,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| member(sK11(X0),X0)
| relation_like(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f208,plain,
( ~ spl15_1
| spl15_4
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f185,f200,f205,f192]) ).
fof(f185,plain,
( ~ ilf_type(identity_relation_of(sK2),binary_relation_type)
| member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK1(identity_relation_of(sK2),cross_product(sK2,sK2))),identity_relation_of(sK2))
| ~ ilf_type(cross_product(sK2,sK2),binary_relation_type) ),
inference(resolution,[],[f127,f115]) ).
fof(f115,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,binary_relation_type)
| member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),X0) )
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
& ilf_type(sK1(X0,X1),set_type)
& member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0)
& ilf_type(sK0(X0,X1),set_type) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f66,f68,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( ~ member(ordered_pair(X4,X5),X1)
& ilf_type(X5,set_type)
& member(ordered_pair(X4,X5),X0) )
& ilf_type(X4,set_type) )
=> ( ? [X5] :
( ~ member(ordered_pair(sK0(X0,X1),X5),X1)
& ilf_type(X5,set_type)
& member(ordered_pair(sK0(X0,X1),X5),X0) )
& ilf_type(sK0(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0,X1] :
( ? [X5] :
( ~ member(ordered_pair(sK0(X0,X1),X5),X1)
& ilf_type(X5,set_type)
& member(ordered_pair(sK0(X0,X1),X5),X0) )
=> ( ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
& ilf_type(sK1(X0,X1),set_type)
& member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),X0) )
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X4] :
( ? [X5] :
( ~ member(ordered_pair(X4,X5),X1)
& ilf_type(X5,set_type)
& member(ordered_pair(X4,X5),X0) )
& ilf_type(X4,set_type) ) ) ) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),X0) )
| ~ ilf_type(X2,set_type) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ? [X3] :
( ~ member(ordered_pair(X2,X3),X1)
& ilf_type(X3,set_type)
& member(ordered_pair(X2,X3),X0) )
& ilf_type(X2,set_type) ) ) ) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( ~ ilf_type(X0,binary_relation_type)
| ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ ilf_type(X3,set_type)
| ~ member(ordered_pair(X2,X3),X0) )
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) ) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( member(ordered_pair(X2,X3),X1)
| ~ member(ordered_pair(X2,X3),X0)
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
<=> subset(X0,X1) )
| ~ ilf_type(X1,binary_relation_type) )
| ~ ilf_type(X0,binary_relation_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,binary_relation_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ( member(ordered_pair(X2,X3),X0)
=> member(ordered_pair(X2,X3),X1) ) ) )
<=> subset(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f127,plain,
~ subset(identity_relation_of(sK2),cross_product(sK2,sK2)),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ilf_type(sK2,set_type)
& ~ subset(identity_relation_of(sK2),cross_product(sK2,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f41,f73]) ).
fof(f73,plain,
( ? [X0] :
( ilf_type(X0,set_type)
& ~ subset(identity_relation_of(X0),cross_product(X0,X0)) )
=> ( ilf_type(sK2,set_type)
& ~ subset(identity_relation_of(sK2),cross_product(sK2,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
? [X0] :
( ilf_type(X0,set_type)
& ~ subset(identity_relation_of(X0),cross_product(X0,X0)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X0] :
( ilf_type(X0,set_type)
=> subset(identity_relation_of(X0),cross_product(X0,X0)) ),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X0] :
( ilf_type(X0,set_type)
=> subset(identity_relation_of(X0),cross_product(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_28) ).
fof(f203,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_3 ),
inference(avatar_split_clause,[],[f187,f200,f196,f192]) ).
fof(f187,plain,
( ~ ilf_type(identity_relation_of(sK2),binary_relation_type)
| ~ member(ordered_pair(sK0(identity_relation_of(sK2),cross_product(sK2,sK2)),sK1(identity_relation_of(sK2),cross_product(sK2,sK2))),cross_product(sK2,sK2))
| ~ ilf_type(cross_product(sK2,sK2),binary_relation_type) ),
inference(resolution,[],[f127,f117]) ).
fof(f117,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ ilf_type(X0,binary_relation_type)
| ~ member(ordered_pair(sK0(X0,X1),sK1(X0,X1)),X1)
| ~ ilf_type(X1,binary_relation_type) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET665+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
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 14:08:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50 % (3959)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)
% 0.20/0.50 % (3950)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)
% 0.20/0.51 % (3939)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)
% 0.20/0.51 % (3940)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)
% 0.20/0.51 % (3959)Refutation not found, incomplete strategy% (3959)------------------------------
% 0.20/0.51 % (3959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3937)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)
% 0.20/0.51 % (3942)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)
% 0.20/0.51 % (3938)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)
% 0.20/0.51 % (3959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3959)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (3959)Memory used [KB]: 1535
% 0.20/0.51 % (3959)Time elapsed: 0.053 s
% 0.20/0.51 % (3959)Instructions burned: 5 (million)
% 0.20/0.51 % (3959)------------------------------
% 0.20/0.51 % (3959)------------------------------
% 0.20/0.51 % (3950)Instruction limit reached!
% 0.20/0.51 % (3950)------------------------------
% 0.20/0.51 % (3950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (3950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (3950)Termination reason: Unknown
% 0.20/0.51 % (3950)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (3950)Memory used [KB]: 6012
% 0.20/0.51 % (3950)Time elapsed: 0.062 s
% 0.20/0.51 % (3950)Instructions burned: 7 (million)
% 0.20/0.51 % (3950)------------------------------
% 0.20/0.51 % (3950)------------------------------
% 0.20/0.52 % (3935)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52 % (3953)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)
% 1.28/0.52 % (3958)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)
% 1.28/0.53 % (3946)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)
% 1.28/0.53 % (3937)Instruction limit reached!
% 1.28/0.53 % (3937)------------------------------
% 1.28/0.53 % (3937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (3937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (3937)Termination reason: Unknown
% 1.28/0.53 % (3937)Termination phase: Saturation
% 1.28/0.53
% 1.28/0.53 % (3937)Memory used [KB]: 6012
% 1.28/0.53 % (3937)Time elapsed: 0.004 s
% 1.28/0.53 % (3937)Instructions burned: 5 (million)
% 1.28/0.53 % (3937)------------------------------
% 1.28/0.53 % (3937)------------------------------
% 1.28/0.53 % (3941)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)
% 1.28/0.53 % (3951)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)
% 1.28/0.53 % (3963)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)
% 1.28/0.53 % (3953)Instruction limit reached!
% 1.28/0.53 % (3953)------------------------------
% 1.28/0.53 % (3953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (3945)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)
% 1.28/0.53 % (3953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (3953)Termination reason: Unknown
% 1.28/0.53 % (3953)Termination phase: Preprocessing 3
% 1.28/0.53
% 1.28/0.53 % (3953)Memory used [KB]: 1407
% 1.28/0.53 % (3953)Time elapsed: 0.003 s
% 1.28/0.53 % (3953)Instructions burned: 2 (million)
% 1.28/0.53 % (3953)------------------------------
% 1.28/0.53 % (3953)------------------------------
% 1.28/0.53 % (3960)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)
% 1.28/0.53 % (3945)Refutation not found, incomplete strategy% (3945)------------------------------
% 1.28/0.53 % (3945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (3940)Refutation not found, incomplete strategy% (3940)------------------------------
% 1.28/0.53 % (3940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (3940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (3940)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (3940)Memory used [KB]: 1535
% 1.28/0.53 % (3940)Time elapsed: 0.127 s
% 1.28/0.53 % (3940)Instructions burned: 5 (million)
% 1.28/0.53 % (3940)------------------------------
% 1.28/0.53 % (3940)------------------------------
% 1.28/0.53 % (3945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (3945)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (3945)Memory used [KB]: 6012
% 1.28/0.53 % (3945)Time elapsed: 0.130 s
% 1.28/0.53 % (3945)Instructions burned: 6 (million)
% 1.28/0.53 % (3945)------------------------------
% 1.28/0.53 % (3945)------------------------------
% 1.28/0.53 % (3949)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)
% 1.28/0.53 % (3949)Instruction limit reached!
% 1.28/0.53 % (3949)------------------------------
% 1.28/0.53 % (3949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.53 % (3949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (3949)Termination reason: Unknown
% 1.28/0.53 % (3949)Termination phase: Property scanning
% 1.28/0.53
% 1.28/0.53 % (3949)Memory used [KB]: 1535
% 1.28/0.53 % (3949)Time elapsed: 0.002 s
% 1.28/0.53 % (3949)Instructions burned: 3 (million)
% 1.28/0.53 % (3949)------------------------------
% 1.28/0.53 % (3949)------------------------------
% 1.28/0.54 % (3939)Instruction limit reached!
% 1.28/0.54 % (3939)------------------------------
% 1.28/0.54 % (3939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (3939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54 % (3939)Termination reason: Unknown
% 1.28/0.54 % (3939)Termination phase: Saturation
% 1.28/0.54
% 1.28/0.54 % (3939)Memory used [KB]: 6140
% 1.28/0.54 % (3939)Time elapsed: 0.132 s
% 1.28/0.54 % (3939)Instructions burned: 13 (million)
% 1.28/0.54 % (3939)------------------------------
% 1.28/0.54 % (3939)------------------------------
% 1.28/0.54 % (3964)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)
% 1.28/0.54 % (3965)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)
% 1.28/0.54 % (3936)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)
% 1.28/0.54 % (3962)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)
% 1.28/0.54 % (3936)Refutation not found, incomplete strategy% (3936)------------------------------
% 1.28/0.54 % (3936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (3936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54 % (3936)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.54
% 1.28/0.54 % (3936)Memory used [KB]: 6012
% 1.28/0.54 % (3936)Time elapsed: 0.122 s
% 1.28/0.54 % (3936)Instructions burned: 6 (million)
% 1.28/0.54 % (3936)------------------------------
% 1.28/0.54 % (3936)------------------------------
% 1.28/0.54 % (3964)Instruction limit reached!
% 1.28/0.54 % (3964)------------------------------
% 1.28/0.54 % (3964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.54 % (3964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.54 % (3964)Termination reason: Unknown
% 1.28/0.54 % (3964)Termination phase: Saturation
% 1.28/0.54
% 1.28/0.54 % (3964)Memory used [KB]: 6140
% 1.28/0.54 % (3964)Time elapsed: 0.132 s
% 1.28/0.54 % (3964)Instructions burned: 8 (million)
% 1.28/0.54 % (3964)------------------------------
% 1.28/0.54 % (3964)------------------------------
% 1.28/0.54 % (3955)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)
% 1.28/0.54 % (3943)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)
% 1.45/0.54 % (3942)First to succeed.
% 1.45/0.54 % (3956)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)
% 1.45/0.54 % (3954)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)
% 1.45/0.54 % (3942)Refutation found. Thanks to Tanya!
% 1.45/0.54 % SZS status Theorem for theBenchmark
% 1.45/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.54 % (3942)------------------------------
% 1.45/0.54 % (3942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.54 % (3942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.54 % (3942)Termination reason: Refutation
% 1.45/0.54
% 1.45/0.54 % (3942)Memory used [KB]: 6268
% 1.45/0.54 % (3942)Time elapsed: 0.077 s
% 1.45/0.54 % (3942)Instructions burned: 18 (million)
% 1.45/0.54 % (3942)------------------------------
% 1.45/0.54 % (3942)------------------------------
% 1.45/0.54 % (3930)Success in time 0.183 s
%------------------------------------------------------------------------------