TSTP Solution File: SET943+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET943+1 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n024.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 : Tue May 21 03:14:02 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 114 ( 11 unt; 0 def)
% Number of atoms : 392 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 461 ( 183 ~; 196 |; 57 &)
% ( 16 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 183 ( 160 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f508,plain,
$false,
inference(avatar_sat_refutation,[],[f103,f108,f112,f133,f138,f150,f170,f277,f283,f504]) ).
fof(f504,plain,
( ~ spl8_1
| ~ spl8_4
| ~ spl8_6 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| ~ spl8_1
| ~ spl8_4
| ~ spl8_6 ),
inference(subsumption_resolution,[],[f499,f98]) ).
fof(f98,plain,
( in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1)))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl8_1
<=> in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_1])]) ).
fof(f499,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1)))
| ~ spl8_4
| ~ spl8_6 ),
inference(resolution,[],[f451,f174]) ).
fof(f174,plain,
( ! [X0] :
( in(X0,union(set_union2(sK0,sK1)))
| ~ in(X0,set_union2(union(sK0),union(sK1))) )
| ~ spl8_6 ),
inference(resolution,[],[f119,f61]) ).
fof(f61,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK5(X0,X1),X1)
& in(sK5(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f119,plain,
( subset(set_union2(union(sK0),union(sK1)),union(set_union2(sK0,sK1)))
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl8_6
<=> subset(set_union2(union(sK0),union(sK1)),union(set_union2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_6])]) ).
fof(f451,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),union(set_union2(sK0,sK1)))
| ~ spl8_4 ),
inference(duplicate_literal_removal,[],[f444]) ).
fof(f444,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),union(set_union2(sK0,sK1)))
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),union(set_union2(sK0,sK1)))
| ~ spl8_4 ),
inference(resolution,[],[f303,f75]) ).
fof(f75,plain,
! [X0,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X5] :
( in(X5,sK4(X0,X5))
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( union(X0) = X1
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3) )
| ~ in(sK2(X0,X1),X1) )
& ( ( in(sK3(X0,X1),X0)
& in(sK2(X0,X1),sK3(X0,X1)) )
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK4(X0,X5),X0)
& in(X5,sK4(X0,X5)) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f31,f34,f33,f32]) ).
fof(f32,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3) )
| ~ in(sK2(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK2(X0,X1),X4) )
| in(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK2(X0,X1),X4) )
=> ( in(sK3(X0,X1),X0)
& in(sK2(X0,X1),sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK4(X0,X5),X0)
& in(X5,sK4(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| union(X0) != X1 ) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( union(X0) = X1
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| union(X0) != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( union(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
fof(f303,plain,
( ! [X0] :
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK4(set_union2(sK0,sK1),X0))
| ~ in(X0,union(set_union2(sK0,sK1))) )
| ~ spl8_4 ),
inference(resolution,[],[f111,f74]) ).
fof(f74,plain,
! [X0,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X5] :
( in(sK4(X0,X5),X0)
| ~ in(X5,X1)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f111,plain,
( ! [X0] :
( ~ in(X0,set_union2(sK0,sK1))
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),X0) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl8_4
<=> ! [X0] :
( ~ in(X0,set_union2(sK0,sK1))
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_4])]) ).
fof(f283,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_10 ),
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| spl8_1
| ~ spl8_2
| ~ spl8_10 ),
inference(subsumption_resolution,[],[f278,f102]) ).
fof(f102,plain,
( in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl8_2
<=> in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_2])]) ).
fof(f278,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))))
| spl8_1
| ~ spl8_10 ),
inference(resolution,[],[f149,f165]) ).
fof(f165,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),X0) )
| spl8_1 ),
inference(resolution,[],[f152,f73]) ).
fof(f73,plain,
! [X0,X6,X5] :
( in(X5,union(X0))
| ~ in(X6,X0)
| ~ in(X5,X6) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,X0)
| ~ in(X5,X6)
| union(X0) != X1 ),
inference(cnf_transformation,[],[f35]) ).
fof(f152,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),union(sK0))
| spl8_1 ),
inference(resolution,[],[f97,f77]) ).
fof(f77,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ( ( ( ~ in(sK6(X0,X1,X2),X1)
& ~ in(sK6(X0,X1,X2),X0) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( in(sK6(X0,X1,X2),X1)
| in(sK6(X0,X1,X2),X0)
| in(sK6(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f42,f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) )
=> ( ( ( ~ in(sK6(X0,X1,X2),X1)
& ~ in(sK6(X0,X1,X2),X0) )
| ~ in(sK6(X0,X1,X2),X2) )
& ( in(sK6(X0,X1,X2),X1)
| in(sK6(X0,X1,X2),X0)
| in(sK6(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X1)
& ~ in(X4,X0) ) )
& ( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( set_union2(X0,X1) = X2
| ? [X3] :
( ( ( ~ in(X3,X1)
& ~ in(X3,X0) )
| ~ in(X3,X2) )
& ( in(X3,X1)
| in(X3,X0)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X1)
& ~ in(X3,X0) ) )
& ( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( set_union2(X0,X1) = X2
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X1)
| in(X3,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f97,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1)))
| spl8_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f149,plain,
( in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK0)
| ~ spl8_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl8_10
<=> in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_10])]) ).
fof(f277,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_9 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| spl8_1
| ~ spl8_2
| ~ spl8_9 ),
inference(subsumption_resolution,[],[f266,f102]) ).
fof(f266,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))))
| spl8_1
| ~ spl8_9 ),
inference(resolution,[],[f166,f145]) ).
fof(f145,plain,
( in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK1)
| ~ spl8_9 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl8_9
<=> in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_9])]) ).
fof(f166,plain,
( ! [X0] :
( ~ in(X0,sK1)
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),X0) )
| spl8_1 ),
inference(resolution,[],[f153,f73]) ).
fof(f153,plain,
( ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),union(sK1))
| spl8_1 ),
inference(resolution,[],[f97,f76]) ).
fof(f76,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f170,plain,
spl8_8,
inference(avatar_contradiction_clause,[],[f169]) ).
fof(f169,plain,
( $false
| spl8_8 ),
inference(subsumption_resolution,[],[f168,f159]) ).
fof(f159,plain,
( in(sK5(sK1,set_union2(sK0,sK1)),sK1)
| spl8_8 ),
inference(resolution,[],[f154,f62]) ).
fof(f62,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f154,plain,
( ~ subset(sK1,set_union2(sK0,sK1))
| spl8_8 ),
inference(resolution,[],[f132,f51]) ).
fof(f51,plain,
! [X0,X1] :
( subset(union(X0),union(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( subset(union(X0),union(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( subset(X0,X1)
=> subset(union(X0),union(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t95_zfmisc_1) ).
fof(f132,plain,
( ~ subset(union(sK1),union(set_union2(sK0,sK1)))
| spl8_8 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl8_8
<=> subset(union(sK1),union(set_union2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_8])]) ).
fof(f168,plain,
( ~ in(sK5(sK1,set_union2(sK0,sK1)),sK1)
| spl8_8 ),
inference(resolution,[],[f160,f76]) ).
fof(f160,plain,
( ~ in(sK5(sK1,set_union2(sK0,sK1)),set_union2(sK0,sK1))
| spl8_8 ),
inference(resolution,[],[f154,f63]) ).
fof(f63,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f150,plain,
( spl8_9
| spl8_10
| ~ spl8_3 ),
inference(avatar_split_clause,[],[f139,f105,f147,f143]) ).
fof(f105,plain,
( spl8_3
<=> in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_3])]) ).
fof(f139,plain,
( in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK0)
| in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK1)
| ~ spl8_3 ),
inference(resolution,[],[f107,f78]) ).
fof(f78,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,plain,
! [X2,X0,X1,X4] :
( in(X4,X1)
| in(X4,X0)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f44]) ).
fof(f107,plain,
( in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(sK0,sK1))
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f138,plain,
spl8_7,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| spl8_7 ),
inference(subsumption_resolution,[],[f134,f59]) ).
fof(f59,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f134,plain,
( ~ subset(sK0,set_union2(sK0,sK1))
| spl8_7 ),
inference(resolution,[],[f128,f51]) ).
fof(f128,plain,
( ~ subset(union(sK0),union(set_union2(sK0,sK1)))
| spl8_7 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl8_7
<=> subset(union(sK0),union(set_union2(sK0,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl8_7])]) ).
fof(f133,plain,
( ~ spl8_7
| ~ spl8_8
| spl8_6 ),
inference(avatar_split_clause,[],[f122,f118,f130,f126]) ).
fof(f122,plain,
( ~ subset(union(sK1),union(set_union2(sK0,sK1)))
| ~ subset(union(sK0),union(set_union2(sK0,sK1)))
| spl8_6 ),
inference(resolution,[],[f120,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X2,X1)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( subset(X2,X1)
& subset(X0,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f120,plain,
( ~ subset(set_union2(union(sK0),union(sK1)),union(set_union2(sK0,sK1)))
| spl8_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f112,plain,
( ~ spl8_1
| spl8_4 ),
inference(avatar_split_clause,[],[f93,f110,f96]) ).
fof(f93,plain,
! [X0] :
( ~ in(X0,set_union2(sK0,sK1))
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),X0)
| ~ in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1))) ),
inference(resolution,[],[f80,f84]) ).
fof(f84,plain,
! [X3,X0,X1] :
( sQ7_eqProxy(union(X0),X1)
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3)
| ~ in(sK2(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f57,f79]) ).
fof(f79,plain,
! [X0,X1] :
( sQ7_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ7_eqProxy])]) ).
fof(f57,plain,
! [X3,X0,X1] :
( union(X0) = X1
| ~ in(X3,X0)
| ~ in(sK2(X0,X1),X3)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f80,plain,
~ sQ7_eqProxy(union(set_union2(sK0,sK1)),set_union2(union(sK0),union(sK1))),
inference(equality_proxy_replacement,[],[f45,f79]) ).
fof(f45,plain,
union(set_union2(sK0,sK1)) != set_union2(union(sK0),union(sK1)),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
union(set_union2(sK0,sK1)) != set_union2(union(sK0),union(sK1)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f20,f26]) ).
fof(f26,plain,
( ? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1))
=> union(set_union2(sK0,sK1)) != set_union2(union(sK0),union(sK1)) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
? [X0,X1] : union(set_union2(X0,X1)) != set_union2(union(X0),union(X1)),
inference(ennf_transformation,[],[f17]) ).
fof(f17,negated_conjecture,
~ ! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
inference(negated_conjecture,[],[f16]) ).
fof(f16,conjecture,
! [X0,X1] : union(set_union2(X0,X1)) = set_union2(union(X0),union(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t96_zfmisc_1) ).
fof(f108,plain,
( spl8_1
| spl8_3 ),
inference(avatar_split_clause,[],[f92,f105,f96]) ).
fof(f92,plain,
( in(sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(sK0,sK1))
| in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1))) ),
inference(resolution,[],[f80,f85]) ).
fof(f85,plain,
! [X0,X1] :
( sQ7_eqProxy(union(X0),X1)
| in(sK3(X0,X1),X0)
| in(sK2(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f56,f79]) ).
fof(f56,plain,
! [X0,X1] :
( union(X0) = X1
| in(sK3(X0,X1),X0)
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f103,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f91,f100,f96]) ).
fof(f91,plain,
( in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),sK3(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))))
| in(sK2(set_union2(sK0,sK1),set_union2(union(sK0),union(sK1))),set_union2(union(sK0),union(sK1))) ),
inference(resolution,[],[f80,f86]) ).
fof(f86,plain,
! [X0,X1] :
( sQ7_eqProxy(union(X0),X1)
| in(sK2(X0,X1),sK3(X0,X1))
| in(sK2(X0,X1),X1) ),
inference(equality_proxy_replacement,[],[f55,f79]) ).
fof(f55,plain,
! [X0,X1] :
( union(X0) = X1
| in(sK2(X0,X1),sK3(X0,X1))
| in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET943+1 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n024.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
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 12:26:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.77 % (28340)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.77 % (28332)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.61/0.77 % (28334)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.77 % (28335)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.77 % (28333)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.61/0.77 % (28337)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.61/0.77 % (28338)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.77 % (28339)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.61/0.77 % (28338)Refutation not found, incomplete strategy% (28338)------------------------------
% 0.61/0.77 % (28338)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (28335)Refutation not found, incomplete strategy% (28335)------------------------------
% 0.61/0.77 % (28335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (28335)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (28335)Memory used [KB]: 1037
% 0.61/0.77 % (28335)Time elapsed: 0.003 s
% 0.61/0.77 % (28335)Instructions burned: 3 (million)
% 0.61/0.77 % (28338)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (28338)Memory used [KB]: 1026
% 0.61/0.77 % (28338)Time elapsed: 0.003 s
% 0.61/0.77 % (28338)Instructions burned: 3 (million)
% 0.61/0.77 % (28335)------------------------------
% 0.61/0.77 % (28335)------------------------------
% 0.61/0.77 % (28339)Refutation not found, incomplete strategy% (28339)------------------------------
% 0.61/0.77 % (28339)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (28339)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (28339)Memory used [KB]: 1024
% 0.61/0.77 % (28339)Time elapsed: 0.003 s
% 0.61/0.77 % (28339)Instructions burned: 3 (million)
% 0.61/0.77 % (28338)------------------------------
% 0.61/0.77 % (28338)------------------------------
% 0.61/0.77 % (28339)------------------------------
% 0.61/0.77 % (28339)------------------------------
% 0.61/0.78 % (28340)First to succeed.
% 0.61/0.78 % (28332)Also succeeded, but the first one will report.
% 0.61/0.78 % (28340)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28331"
% 0.61/0.78 % (28340)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for theBenchmark
% 0.61/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.78 % (28340)------------------------------
% 0.61/0.78 % (28340)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (28340)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (28340)Memory used [KB]: 1136
% 0.61/0.78 % (28340)Time elapsed: 0.008 s
% 0.61/0.78 % (28340)Instructions burned: 20 (million)
% 0.61/0.78 % (28331)Success in time 0.41 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------