TSTP Solution File: SET986+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET986+1 : TPTP v8.1.0. Released v3.2.0.
% 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 18:22:57 EDT 2022
% Result : Theorem 1.39s 0.58s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 83 ( 7 unt; 0 def)
% Number of atoms : 356 ( 70 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 430 ( 157 ~; 170 |; 78 &)
% ( 16 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 165 ( 147 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f309,plain,
$false,
inference(avatar_sat_refutation,[],[f161,f200,f236,f245,f297]) ).
fof(f297,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| spl8_2 ),
inference(unit_resulting_resolution,[],[f247,f262,f261,f100]) ).
fof(f100,plain,
! [X2,X3,X0] :
( in(X3,set_difference(X0,X2))
| in(X3,X2)
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f70]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2)
| set_difference(X0,X2) != X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) )
| set_difference(X0,X2) != X1 )
& ( set_difference(X0,X2) = X1
| ( ( ~ in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X1)
| ( in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X2) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f34,f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) )
& ( in(X4,X1)
| ( in(X4,X0)
& ~ in(X4,X2) ) ) )
=> ( ( ~ in(sK2(X0,X1,X2),X1)
| ~ in(sK2(X0,X1,X2),X0)
| in(sK2(X0,X1,X2),X2) )
& ( in(sK2(X0,X1,X2),X1)
| ( in(sK2(X0,X1,X2),X0)
& ~ in(sK2(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X2) )
| ~ in(X3,X1) )
& ( in(X3,X1)
| ~ in(X3,X0)
| in(X3,X2) ) )
| set_difference(X0,X2) != X1 )
& ( set_difference(X0,X2) = X1
| ? [X4] :
( ( ~ in(X4,X1)
| ~ in(X4,X0)
| in(X4,X2) )
& ( in(X4,X1)
| ( in(X4,X0)
& ~ in(X4,X2) ) ) ) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) ) )
| set_difference(X0,X1) != X2 )
& ( set_difference(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( in(X3,X2)
| ( in(X3,X0)
& ~ in(X3,X1) ) ) ) ) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) ) )
| set_difference(X0,X1) != X2 )
& ( set_difference(X0,X1) = X2
| ? [X3] :
( ( ~ in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( in(X3,X2)
| ( in(X3,X0)
& ~ in(X3,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X2,X1] :
( ! [X3] :
( ( in(X3,X0)
& ~ in(X3,X1) )
<=> in(X3,X2) )
<=> set_difference(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f261,plain,
( ~ in(sK4(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0),set_difference(sK0,singleton(sK1)))
| spl8_2 ),
inference(resolution,[],[f246,f106]) ).
fof(f106,plain,
! [X2,X0,X4] :
( in(X4,set_union2(X2,X0))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X0)
| set_union2(X2,X0) != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X0) = X1
| ( ( ~ in(sK3(X0,X1,X2),X1)
| ( ~ in(sK3(X0,X1,X2),X2)
& ~ in(sK3(X0,X1,X2),X0) ) )
& ( in(sK3(X0,X1,X2),X1)
| in(sK3(X0,X1,X2),X2)
| in(sK3(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) )
& ( in(X4,X1)
| ( ~ in(X4,X2)
& ~ in(X4,X0) ) ) )
| set_union2(X2,X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(X3,X1)
| ( ~ in(X3,X2)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X2)
| in(X3,X0) ) )
=> ( ( ~ in(sK3(X0,X1,X2),X1)
| ( ~ in(sK3(X0,X1,X2),X2)
& ~ in(sK3(X0,X1,X2),X0) ) )
& ( in(sK3(X0,X1,X2),X1)
| in(sK3(X0,X1,X2),X2)
| in(sK3(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( set_union2(X2,X0) = X1
| ? [X3] :
( ( ~ in(X3,X1)
| ( ~ in(X3,X2)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X2)
| in(X3,X0) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1) )
& ( in(X4,X1)
| ( ~ in(X4,X2)
& ~ in(X4,X0) ) ) )
| set_union2(X2,X0) != X1 ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ( set_union2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0) )
& ( in(X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X2) ) ) )
| set_union2(X1,X2) != X0 ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ( set_union2(X1,X2) = X0
| ? [X3] :
( ( ~ in(X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X2) ) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| in(X3,X2)
| ~ in(X3,X0) )
& ( in(X3,X0)
| ( ~ in(X3,X1)
& ~ in(X3,X2) ) ) )
| set_union2(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X2,X0,X1] :
( set_union2(X1,X2) = X0
<=> ! [X3] :
( ( in(X3,X1)
| in(X3,X2) )
<=> in(X3,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ! [X3] :
( ( in(X3,X0)
| in(X3,X1) )
<=> in(X3,X2) )
<=> set_union2(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f246,plain,
( ~ in(sK4(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0),set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))))
| spl8_2 ),
inference(resolution,[],[f155,f89]) ).
fof(f89,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ in(sK4(X0,X1),X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ( ~ in(sK4(X0,X1),X0)
& in(sK4(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f51,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) )
=> ( ~ in(sK4(X0,X1),X0)
& in(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
! [X0,X1] :
( ( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ subset(X1,X0) )
& ( subset(X1,X0)
| ? [X3] :
( ~ in(X3,X0)
& in(X3,X1) ) ) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1,X0] :
( ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
=> in(X2,X1) )
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f155,plain,
( ~ subset(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))))
| spl8_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl8_2
<=> subset(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f262,plain,
( ~ in(sK4(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0),singleton(sK1))
| spl8_2 ),
inference(resolution,[],[f246,f105]) ).
fof(f105,plain,
! [X2,X0,X4] :
( in(X4,set_union2(X2,X0))
| ~ in(X4,X2) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| ~ in(X4,X2)
| set_union2(X2,X0) != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f247,plain,
( in(sK4(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0),sK0)
| spl8_2 ),
inference(resolution,[],[f155,f88]) ).
fof(f88,plain,
! [X0,X1] :
( subset(X1,X0)
| in(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f245,plain,
( spl8_1
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f241,plain,
( $false
| spl8_1
| ~ spl8_4 ),
inference(unit_resulting_resolution,[],[f178,f199,f98]) ).
fof(f98,plain,
! [X2,X3,X0] :
( ~ in(X3,set_difference(X0,X2))
| in(X3,X0) ),
inference(equality_resolution,[],[f72]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( in(X3,X0)
| ~ in(X3,X1)
| set_difference(X0,X2) != X1 ),
inference(cnf_transformation,[],[f36]) ).
fof(f199,plain,
( in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),set_difference(sK0,singleton(sK1)))
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl8_4
<=> in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),set_difference(sK0,singleton(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f178,plain,
( ~ in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),sK0)
| spl8_1 ),
inference(resolution,[],[f152,f89]) ).
fof(f152,plain,
( ~ subset(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0)
| spl8_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl8_1
<=> subset(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f236,plain,
( spl8_1
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f233]) ).
fof(f233,plain,
( $false
| spl8_1
| ~ spl8_3 ),
inference(resolution,[],[f230,f66]) ).
fof(f66,plain,
in(sK1,sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( in(sK1,sK0)
& sK0 != set_union2(set_difference(sK0,singleton(sK1)),singleton(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f27,f30]) ).
fof(f30,plain,
( ? [X0,X1] :
( in(X1,X0)
& set_union2(set_difference(X0,singleton(X1)),singleton(X1)) != X0 )
=> ( in(sK1,sK0)
& sK0 != set_union2(set_difference(sK0,singleton(sK1)),singleton(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1] :
( in(X1,X0)
& set_union2(set_difference(X0,singleton(X1)),singleton(X1)) != X0 ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0,X1] :
( in(X1,X0)
=> set_union2(set_difference(X0,singleton(X1)),singleton(X1)) = X0 ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X1,X0] :
( in(X0,X1)
=> set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X1,X0] :
( in(X0,X1)
=> set_union2(set_difference(X1,singleton(X0)),singleton(X0)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t140_zfmisc_1) ).
fof(f230,plain,
( ~ in(sK1,sK0)
| spl8_1
| ~ spl8_3 ),
inference(backward_demodulation,[],[f178,f207]) ).
fof(f207,plain,
( sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))) = sK1
| ~ spl8_3 ),
inference(resolution,[],[f196,f109]) ).
fof(f109,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f93]) ).
fof(f93,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ( ( sK5(X0,X1) != X0
| ~ in(sK5(X0,X1),X1) )
& ( sK5(X0,X1) = X0
| in(sK5(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X3] :
( ( X0 != X3
| ~ in(X3,X1) )
& ( X0 = X3
| in(X3,X1) ) )
=> ( ( sK5(X0,X1) != X0
| ~ in(sK5(X0,X1),X1) )
& ( sK5(X0,X1) = X0
| in(sK5(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X3] :
( ( X0 != X3
| ~ in(X3,X1) )
& ( X0 = X3
| in(X3,X1) ) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 )
& ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X1)
<=> X0 = X2 )
<=> singleton(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f196,plain,
( in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),singleton(sK1))
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f195,plain,
( spl8_3
<=> in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f200,plain,
( spl8_3
| spl8_4
| spl8_1 ),
inference(avatar_split_clause,[],[f192,f151,f198,f195]) ).
fof(f192,plain,
( in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),set_difference(sK0,singleton(sK1)))
| in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),singleton(sK1))
| spl8_1 ),
inference(resolution,[],[f179,f104]) ).
fof(f104,plain,
! [X2,X0,X4] :
( ~ in(X4,set_union2(X2,X0))
| in(X4,X0)
| in(X4,X2) ),
inference(equality_resolution,[],[f84]) ).
fof(f84,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| in(X4,X0)
| ~ in(X4,X1)
| set_union2(X2,X0) != X1 ),
inference(cnf_transformation,[],[f49]) ).
fof(f179,plain,
( in(sK4(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1)))),set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))))
| spl8_1 ),
inference(resolution,[],[f152,f88]) ).
fof(f161,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f160,f154,f151]) ).
fof(f160,plain,
( ~ subset(sK0,set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))))
| ~ subset(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0) ),
inference(forward_demodulation,[],[f159,f73]) ).
fof(f73,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] : set_union2(X0,X1) = set_union2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f159,plain,
( ~ subset(sK0,set_union2(set_difference(sK0,singleton(sK1)),singleton(sK1)))
| ~ subset(set_union2(singleton(sK1),set_difference(sK0,singleton(sK1))),sK0) ),
inference(forward_demodulation,[],[f141,f73]) ).
fof(f141,plain,
( ~ subset(set_union2(set_difference(sK0,singleton(sK1)),singleton(sK1)),sK0)
| ~ subset(sK0,set_union2(set_difference(sK0,singleton(sK1)),singleton(sK1))) ),
inference(extensionality_resolution,[],[f81,f65]) ).
fof(f65,plain,
sK0 != set_union2(set_difference(sK0,singleton(sK1)),singleton(sK1)),
inference(cnf_transformation,[],[f31]) ).
fof(f81,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| X0 = X1
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X1,X0)
| ~ subset(X0,X1) )
& ( ( subset(X1,X0)
& subset(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET986+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % 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 14:26:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.24/0.52 % (17089)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)
% 1.24/0.52 % (17077)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)
% 1.24/0.52 % (17084)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)
% 1.24/0.53 % (17105)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)
% 1.24/0.53 % (17079)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)
% 1.24/0.53 % (17077)Refutation not found, incomplete strategy% (17077)------------------------------
% 1.24/0.53 % (17077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.24/0.53 % (17077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.24/0.53 % (17077)Termination reason: Refutation not found, incomplete strategy
% 1.24/0.53
% 1.24/0.53 % (17077)Memory used [KB]: 6012
% 1.24/0.53 % (17077)Time elapsed: 0.126 s
% 1.24/0.53 % (17077)Instructions burned: 3 (million)
% 1.24/0.53 % (17077)------------------------------
% 1.24/0.53 % (17077)------------------------------
% 1.24/0.53 % (17080)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)
% 1.39/0.53 % (17078)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)
% 1.39/0.53 % (17083)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)
% 1.39/0.53 % (17088)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)
% 1.39/0.53 % (17097)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)
% 1.39/0.53 % (17095)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)
% 1.39/0.53 % (17085)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)
% 1.39/0.54 % (17090)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)
% 1.39/0.54 % (17090)Instruction limit reached!
% 1.39/0.54 % (17090)------------------------------
% 1.39/0.54 % (17090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.54 % (17090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.54 % (17090)Termination reason: Unknown
% 1.39/0.54 % (17090)Termination phase: Saturation
% 1.39/0.54
% 1.39/0.54 % (17090)Memory used [KB]: 6012
% 1.39/0.54 % (17090)Time elapsed: 0.003 s
% 1.39/0.54 % (17090)Instructions burned: 3 (million)
% 1.39/0.54 % (17090)------------------------------
% 1.39/0.54 % (17090)------------------------------
% 1.39/0.54 % (17091)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)
% 1.39/0.54 % (17092)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)
% 1.39/0.54 % (17086)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)
% 1.39/0.54 % (17082)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)
% 1.39/0.54 % (17087)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)
% 1.39/0.54 % (17104)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)
% 1.39/0.54 % (17093)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.39/0.55 % (17095)Instruction limit reached!
% 1.39/0.55 % (17095)------------------------------
% 1.39/0.55 % (17095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (17093)Instruction limit reached!
% 1.39/0.55 % (17093)------------------------------
% 1.39/0.55 % (17093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (17093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (17093)Termination reason: Unknown
% 1.39/0.55 % (17093)Termination phase: Finite model building preprocessing
% 1.39/0.55
% 1.39/0.55 % (17093)Memory used [KB]: 1407
% 1.39/0.55 % (17093)Time elapsed: 0.003 s
% 1.39/0.55 % (17093)Instructions burned: 3 (million)
% 1.39/0.55 % (17093)------------------------------
% 1.39/0.55 % (17093)------------------------------
% 1.39/0.55 % (17094)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)
% 1.39/0.55 % (17098)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)
% 1.39/0.55 % (17099)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)
% 1.39/0.55 % (17094)Instruction limit reached!
% 1.39/0.55 % (17094)------------------------------
% 1.39/0.55 % (17094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (17094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (17094)Termination reason: Unknown
% 1.39/0.55 % (17094)Termination phase: Saturation
% 1.39/0.55
% 1.39/0.55 % (17094)Memory used [KB]: 1407
% 1.39/0.55 % (17094)Time elapsed: 0.002 s
% 1.39/0.55 % (17094)Instructions burned: 3 (million)
% 1.39/0.55 % (17094)------------------------------
% 1.39/0.55 % (17094)------------------------------
% 1.39/0.55 % (17076)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.39/0.55 % (17100)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)
% 1.39/0.55 % (17099)Refutation not found, incomplete strategy% (17099)------------------------------
% 1.39/0.55 % (17099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (17096)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)
% 1.39/0.55 % (17078)Instruction limit reached!
% 1.39/0.55 % (17078)------------------------------
% 1.39/0.55 % (17078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (17078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.55 % (17078)Termination reason: Unknown
% 1.39/0.55 % (17078)Termination phase: Saturation
% 1.39/0.55
% 1.39/0.55 % (17078)Memory used [KB]: 6012
% 1.39/0.55 % (17103)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)
% 1.39/0.55 % (17078)Time elapsed: 0.135 s
% 1.39/0.55 % (17078)Instructions burned: 3 (million)
% 1.39/0.55 % (17078)------------------------------
% 1.39/0.55 % (17078)------------------------------
% 1.39/0.55 % (17080)Instruction limit reached!
% 1.39/0.55 % (17080)------------------------------
% 1.39/0.55 % (17080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.55 % (17101)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)
% 1.39/0.55 % (17081)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)
% 1.39/0.56 % (17099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17099)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (17099)Memory used [KB]: 1535
% 1.39/0.56 % (17099)Time elapsed: 0.149 s
% 1.39/0.56 % (17099)Instructions burned: 3 (million)
% 1.39/0.56 % (17099)------------------------------
% 1.39/0.56 % (17099)------------------------------
% 1.39/0.56 % (17091)Instruction limit reached!
% 1.39/0.56 % (17091)------------------------------
% 1.39/0.56 % (17091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (17081)Refutation not found, incomplete strategy% (17081)------------------------------
% 1.39/0.56 % (17081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (17081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17081)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (17081)Memory used [KB]: 1535
% 1.39/0.56 % (17081)Time elapsed: 0.125 s
% 1.39/0.56 % (17081)Instructions burned: 2 (million)
% 1.39/0.56 % (17081)------------------------------
% 1.39/0.56 % (17081)------------------------------
% 1.39/0.56 % (17091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17091)Termination reason: Unknown
% 1.39/0.56 % (17091)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (17091)Memory used [KB]: 6012
% 1.39/0.56 % (17091)Time elapsed: 0.140 s
% 1.39/0.56 % (17091)Instructions burned: 7 (million)
% 1.39/0.56 % (17091)------------------------------
% 1.39/0.56 % (17091)------------------------------
% 1.39/0.56 % (17080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17080)Termination reason: Unknown
% 1.39/0.56 % (17080)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (17080)Memory used [KB]: 6140
% 1.39/0.56 % (17086)Instruction limit reached!
% 1.39/0.56 % (17086)------------------------------
% 1.39/0.56 % (17086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (17086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17086)Termination reason: Unknown
% 1.39/0.56 % (17086)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (17086)Memory used [KB]: 6012
% 1.39/0.56 % (17086)Time elapsed: 0.154 s
% 1.39/0.56 % (17086)Instructions burned: 13 (million)
% 1.39/0.56 % (17086)------------------------------
% 1.39/0.56 % (17086)------------------------------
% 1.39/0.56 % (17080)Time elapsed: 0.139 s
% 1.39/0.56 % (17080)Instructions burned: 13 (million)
% 1.39/0.56 % (17080)------------------------------
% 1.39/0.56 % (17080)------------------------------
% 1.39/0.56 % (17095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17095)Termination reason: Unknown
% 1.39/0.56 % (17095)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (17095)Memory used [KB]: 6012
% 1.39/0.56 % (17095)Time elapsed: 0.144 s
% 1.39/0.56 % (17095)Instructions burned: 11 (million)
% 1.39/0.56 % (17095)------------------------------
% 1.39/0.56 % (17095)------------------------------
% 1.39/0.56 % (17102)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)
% 1.39/0.56 % (17087)Instruction limit reached!
% 1.39/0.56 % (17087)------------------------------
% 1.39/0.56 % (17087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (17087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17087)Termination reason: Unknown
% 1.39/0.56 % (17087)Termination phase: Saturation
% 1.39/0.56
% 1.39/0.56 % (17087)Memory used [KB]: 6012
% 1.39/0.56 % (17087)Time elapsed: 0.151 s
% 1.39/0.56 % (17087)Instructions burned: 7 (million)
% 1.39/0.56 % (17087)------------------------------
% 1.39/0.56 % (17087)------------------------------
% 1.39/0.56 % (17104)Refutation not found, incomplete strategy% (17104)------------------------------
% 1.39/0.56 % (17104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56 % (17104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56 % (17104)Termination reason: Refutation not found, incomplete strategy
% 1.39/0.56
% 1.39/0.56 % (17104)Memory used [KB]: 6012
% 1.39/0.56 % (17104)Time elapsed: 0.148 s
% 1.39/0.56 % (17104)Instructions burned: 4 (million)
% 1.39/0.56 % (17104)------------------------------
% 1.39/0.56 % (17104)------------------------------
% 1.39/0.57 % (17103)First to succeed.
% 1.39/0.57 % (17088)Instruction limit reached!
% 1.39/0.57 % (17088)------------------------------
% 1.39/0.57 % (17088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (17088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (17088)Termination reason: Unknown
% 1.39/0.57 % (17088)Termination phase: Saturation
% 1.39/0.57
% 1.39/0.57 % (17088)Memory used [KB]: 1663
% 1.39/0.57 % (17088)Time elapsed: 0.142 s
% 1.39/0.57 % (17088)Instructions burned: 17 (million)
% 1.39/0.57 % (17088)------------------------------
% 1.39/0.57 % (17088)------------------------------
% 1.39/0.57 % (17105)Instruction limit reached!
% 1.39/0.57 % (17105)------------------------------
% 1.39/0.57 % (17105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.57 % (17105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.57 % (17105)Termination reason: Unknown
% 1.39/0.57 % (17105)Termination phase: Saturation
% 1.39/0.57
% 1.39/0.57 % (17105)Memory used [KB]: 6268
% 1.39/0.57 % (17105)Time elapsed: 0.161 s
% 1.39/0.57 % (17105)Instructions burned: 24 (million)
% 1.39/0.57 % (17105)------------------------------
% 1.39/0.57 % (17105)------------------------------
% 1.39/0.58 % (17103)Refutation found. Thanks to Tanya!
% 1.39/0.58 % SZS status Theorem for theBenchmark
% 1.39/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.58 % (17103)------------------------------
% 1.39/0.58 % (17103)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.58 % (17103)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.58 % (17103)Termination reason: Refutation
% 1.39/0.58
% 1.39/0.58 % (17103)Memory used [KB]: 6140
% 1.39/0.58 % (17103)Time elapsed: 0.158 s
% 1.39/0.58 % (17103)Instructions burned: 13 (million)
% 1.39/0.58 % (17103)------------------------------
% 1.39/0.58 % (17103)------------------------------
% 1.39/0.58 % (17075)Success in time 0.235 s
%------------------------------------------------------------------------------