TSTP Solution File: SET761+4 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET761+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 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 : n018.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 18:22:09 EDT 2022
% Result : Theorem 1.71s 0.58s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 117 ( 5 unt; 0 def)
% Number of atoms : 418 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 473 ( 172 ~; 191 |; 79 &)
% ( 16 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 214 ( 185 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f371,plain,
$false,
inference(avatar_sat_refutation,[],[f205,f218,f229,f287,f305,f360,f370]) ).
fof(f370,plain,
( spl14_2
| spl14_9 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| spl14_2
| spl14_9 ),
inference(subsumption_resolution,[],[f368,f295]) ).
fof(f295,plain,
( apply(sK10,sK1(sK10,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(sK11,sK9)),sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))))
| spl14_2 ),
inference(resolution,[],[f291,f139]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,image3(X0,X3,X1))
| apply(X0,sK1(X0,X2,X3),X2) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ( ( apply(X0,sK1(X0,X2,X3),X2)
& member(sK1(X0,X2,X3),X3)
& member(X2,X1) )
| ~ member(X2,image3(X0,X3,X1)) )
& ( member(X2,image3(X0,X3,X1))
| ! [X5] :
( ~ apply(X0,X5,X2)
| ~ member(X5,X3) )
| ~ member(X2,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f82,f83]) ).
fof(f83,plain,
! [X0,X2,X3] :
( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X3) )
=> ( apply(X0,sK1(X0,X2,X3),X2)
& member(sK1(X0,X2,X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ( ( ? [X4] :
( apply(X0,X4,X2)
& member(X4,X3) )
& member(X2,X1) )
| ~ member(X2,image3(X0,X3,X1)) )
& ( member(X2,image3(X0,X3,X1))
| ! [X5] :
( ~ apply(X0,X5,X2)
| ~ member(X5,X3) )
| ~ member(X2,X1) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X3,X2] :
( ( ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X2) )
& member(X3,X1) )
| ~ member(X3,image3(X0,X2,X1)) )
& ( member(X3,image3(X0,X2,X1))
| ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X1) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X3,X2] :
( ( ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X2) )
& member(X3,X1) )
| ~ member(X3,image3(X0,X2,X1)) )
& ( member(X3,image3(X0,X2,X1))
| ! [X4] :
( ~ apply(X0,X4,X3)
| ~ member(X4,X2) )
| ~ member(X3,X1) ) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X3,X2] :
( ( ? [X4] :
( apply(X0,X4,X3)
& member(X4,X2) )
& member(X3,X1) )
<=> member(X3,image3(X0,X2,X1)) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X5,X1,X0,X4] :
( member(X4,image3(X5,X0,X1))
<=> ( member(X4,X1)
& ? [X2] :
( member(X2,X0)
& apply(X5,X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image3) ).
fof(f291,plain,
( member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,intersection(sK11,sK9),sK13))
| spl14_2 ),
inference(resolution,[],[f204,f172]) ).
fof(f172,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ( member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f118,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) )
=> ( member(sK7(X0,X1),X0)
& ~ member(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X3] :
( member(X3,X0)
& ~ member(X3,X1) ) ) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ? [X2] :
( member(X2,X0)
& ~ member(X2,X1) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( ~ member(X2,X0)
| member(X2,X1) )
<=> subset(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset) ).
fof(f204,plain,
( ~ subset(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))
| spl14_2 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl14_2
<=> subset(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f368,plain,
( ~ apply(sK10,sK1(sK10,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(sK11,sK9)),sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))))
| spl14_2
| spl14_9 ),
inference(resolution,[],[f365,f344]) ).
fof(f344,plain,
( member(sK1(sK10,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(sK11,sK9)),sK11)
| spl14_2 ),
inference(resolution,[],[f294,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X2,X1)) )
& ( member(X0,intersection(X2,X1))
| ~ member(X0,X2)
| ~ member(X0,X1) ) ),
inference(rectify,[],[f115]) ).
fof(f115,plain,
! [X1,X0,X2] :
( ( ( member(X1,X2)
& member(X1,X0) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X1,X0,X2] :
( ( ( member(X1,X2)
& member(X1,X0) )
| ~ member(X1,intersection(X2,X0)) )
& ( member(X1,intersection(X2,X0))
| ~ member(X1,X2)
| ~ member(X1,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0,X2] :
( ( member(X1,X2)
& member(X1,X0) )
<=> member(X1,intersection(X2,X0)) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X0] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection) ).
fof(f294,plain,
( member(sK1(sK10,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(sK11,sK9)),intersection(sK11,sK9))
| spl14_2 ),
inference(resolution,[],[f291,f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,image3(X0,X3,X1))
| member(sK1(X0,X2,X3),X3) ),
inference(cnf_transformation,[],[f84]) ).
fof(f365,plain,
( ! [X0] :
( ~ member(X0,sK11)
| ~ apply(sK10,X0,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))) )
| spl14_2
| spl14_9 ),
inference(subsumption_resolution,[],[f364,f293]) ).
fof(f293,plain,
( member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),sK13)
| spl14_2 ),
inference(resolution,[],[f291,f137]) ).
fof(f137,plain,
! [X2,X3,X0,X1] :
( ~ member(X2,image3(X0,X3,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f364,plain,
( ! [X0] :
( ~ apply(sK10,X0,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))))
| ~ member(X0,sK11)
| ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),sK13) )
| spl14_9 ),
inference(resolution,[],[f304,f136]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X5] :
( member(X2,image3(X0,X3,X1))
| ~ member(X2,X1)
| ~ apply(X0,X5,X2)
| ~ member(X5,X3) ),
inference(cnf_transformation,[],[f84]) ).
fof(f304,plain,
( ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,sK11,sK13))
| spl14_9 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl14_9
<=> member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,sK11,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f360,plain,
( spl14_2
| spl14_8 ),
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| spl14_2
| spl14_8 ),
inference(subsumption_resolution,[],[f356,f295]) ).
fof(f356,plain,
( ~ apply(sK10,sK1(sK10,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(sK11,sK9)),sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))))
| spl14_2
| spl14_8 ),
inference(resolution,[],[f345,f340]) ).
fof(f340,plain,
( ! [X0] :
( ~ member(X0,sK9)
| ~ apply(sK10,X0,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))) )
| spl14_2
| spl14_8 ),
inference(subsumption_resolution,[],[f339,f293]) ).
fof(f339,plain,
( ! [X0] :
( ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),sK13)
| ~ apply(sK10,X0,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))))
| ~ member(X0,sK9) )
| spl14_8 ),
inference(resolution,[],[f300,f136]) ).
fof(f300,plain,
( ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,sK9,sK13))
| spl14_8 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl14_8
<=> member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,sK9,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f345,plain,
( member(sK1(sK10,sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(sK11,sK9)),sK9)
| spl14_2 ),
inference(resolution,[],[f294,f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X2,X1))
| member(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f305,plain,
( ~ spl14_8
| ~ spl14_9
| spl14_2 ),
inference(avatar_split_clause,[],[f296,f202,f302,f298]) ).
fof(f296,plain,
( ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,sK11,sK13))
| ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),image3(sK10,sK9,sK13))
| spl14_2 ),
inference(resolution,[],[f290,f168]) ).
fof(f168,plain,
! [X2,X0,X1] :
( member(X0,intersection(X2,X1))
| ~ member(X0,X1)
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f290,plain,
( ~ member(sK7(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))
| spl14_2 ),
inference(resolution,[],[f204,f171]) ).
fof(f171,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f287,plain,
( spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f280,f236]) ).
fof(f236,plain,
( member(sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK9),sK9)
| spl14_1 ),
inference(resolution,[],[f220,f138]) ).
fof(f220,plain,
( member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),image3(sK10,sK9,sK13))
| spl14_1 ),
inference(resolution,[],[f207,f169]) ).
fof(f207,plain,
( member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))
| spl14_1 ),
inference(resolution,[],[f200,f172]) ).
fof(f200,plain,
( ~ subset(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13))
| spl14_1 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl14_1
<=> subset(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f280,plain,
( ~ member(sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK9),sK9)
| spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(backward_demodulation,[],[f260,f276]) ).
fof(f276,plain,
( sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK9) = sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11)
| spl14_1
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f275,f237]) ).
fof(f237,plain,
( apply(sK10,sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK9),sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| spl14_1 ),
inference(resolution,[],[f220,f139]) ).
fof(f275,plain,
( sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK9) = sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11)
| ~ apply(sK10,sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK9),sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| spl14_1
| ~ spl14_4 ),
inference(resolution,[],[f273,f236]) ).
fof(f273,plain,
( ! [X1] :
( ~ member(X1,sK9)
| sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11) = X1
| ~ apply(sK10,X1,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13))) )
| spl14_1
| ~ spl14_4 ),
inference(resolution,[],[f271,f190]) ).
fof(f190,plain,
! [X0] :
( member(X0,sK12)
| ~ member(X0,sK9) ),
inference(resolution,[],[f180,f173]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ subset(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f180,plain,
subset(sK9,sK12),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( subset(sK11,sK12)
& ~ equal_set(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))
& injective(sK10,sK12,sK13)
& maps(sK10,sK12,sK13)
& subset(sK9,sK12) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1,X2,X3,X4] :
( subset(X2,X3)
& ~ equal_set(image3(X1,intersection(X2,X0),X4),intersection(image3(X1,X2,X4),image3(X1,X0,X4)))
& injective(X1,X3,X4)
& maps(X1,X3,X4)
& subset(X0,X3) )
=> ( subset(sK11,sK12)
& ~ equal_set(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))
& injective(sK10,sK12,sK13)
& maps(sK10,sK12,sK13)
& subset(sK9,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
? [X0,X1,X2,X3,X4] :
( subset(X2,X3)
& ~ equal_set(image3(X1,intersection(X2,X0),X4),intersection(image3(X1,X2,X4),image3(X1,X0,X4)))
& injective(X1,X3,X4)
& maps(X1,X3,X4)
& subset(X0,X3) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
? [X0,X2,X3,X4,X1] :
( subset(X3,X4)
& ~ equal_set(image3(X2,intersection(X3,X0),X1),intersection(image3(X2,X3,X1),image3(X2,X0,X1)))
& injective(X2,X4,X1)
& maps(X2,X4,X1)
& subset(X0,X4) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
? [X3,X4,X0,X1,X2] :
( ~ equal_set(image3(X2,intersection(X3,X0),X1),intersection(image3(X2,X3,X1),image3(X2,X0,X1)))
& subset(X3,X4)
& subset(X0,X4)
& injective(X2,X4,X1)
& maps(X2,X4,X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
~ ! [X3,X4,X0,X1,X2] :
( ( subset(X3,X4)
& subset(X0,X4)
& injective(X2,X4,X1)
& maps(X2,X4,X1) )
=> equal_set(image3(X2,intersection(X3,X0),X1),intersection(image3(X2,X3,X1),image3(X2,X0,X1))) ),
inference(rectify,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X4,X1,X5,X2,X0] :
( ( maps(X5,X0,X1)
& subset(X2,X0)
& subset(X4,X0)
& injective(X5,X0,X1) )
=> equal_set(image3(X5,intersection(X2,X4),X1),intersection(image3(X5,X2,X1),image3(X5,X4,X1))) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X4,X1,X5,X2,X0] :
( ( maps(X5,X0,X1)
& subset(X2,X0)
& subset(X4,X0)
& injective(X5,X0,X1) )
=> equal_set(image3(X5,intersection(X2,X4),X1),intersection(image3(X5,X2,X1),image3(X5,X4,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIIa11) ).
fof(f271,plain,
( ! [X0] :
( ~ member(X0,sK12)
| ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11) = X0 )
| spl14_1
| ~ spl14_4 ),
inference(subsumption_resolution,[],[f270,f227]) ).
fof(f227,plain,
( apply(sK10,sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11),sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| spl14_1 ),
inference(resolution,[],[f219,f139]) ).
fof(f219,plain,
( member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),image3(sK10,sK11,sK13))
| spl14_1 ),
inference(resolution,[],[f207,f170]) ).
fof(f270,plain,
( ! [X0] :
( sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11) = X0
| ~ apply(sK10,sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11),sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ member(X0,sK12) )
| spl14_1
| ~ spl14_4 ),
inference(resolution,[],[f263,f226]) ).
fof(f226,plain,
( member(sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11),sK11)
| spl14_1 ),
inference(resolution,[],[f219,f138]) ).
fof(f263,plain,
( ! [X0,X1] :
( ~ member(X1,sK11)
| ~ apply(sK10,X1,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ member(X0,sK12)
| X0 = X1 )
| ~ spl14_4 ),
inference(resolution,[],[f232,f191]) ).
fof(f191,plain,
! [X0] :
( member(X0,sK12)
| ~ member(X0,sK11) ),
inference(resolution,[],[f184,f173]) ).
fof(f184,plain,
subset(sK11,sK12),
inference(cnf_transformation,[],[f129]) ).
fof(f232,plain,
( ! [X2,X3] :
( ~ member(X2,sK12)
| ~ member(X3,sK12)
| X2 = X3
| ~ apply(sK10,X3,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ apply(sK10,X2,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13))) )
| ~ spl14_4 ),
inference(resolution,[],[f216,f195]) ).
fof(f195,plain,
! [X2,X0,X1] :
( ~ member(X1,sK13)
| ~ apply(sK10,X2,X1)
| ~ member(X2,sK12)
| X0 = X2
| ~ apply(sK10,X0,X1)
| ~ member(X0,sK12) ),
inference(resolution,[],[f182,f157]) ).
fof(f157,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ injective(X0,X2,X1)
| ~ member(X5,X2)
| ~ apply(X0,X5,X3)
| ~ apply(X0,X4,X3)
| ~ member(X3,X1)
| X4 = X5
| ~ member(X4,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ~ apply(X0,X5,X3)
| ~ member(X5,X2)
| ~ member(X3,X1)
| X4 = X5
| ~ member(X4,X2)
| ~ apply(X0,X4,X3) )
| ~ injective(X0,X2,X1) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ! [X3,X5,X4] :
( ~ apply(X2,X4,X3)
| ~ member(X4,X1)
| ~ member(X3,X0)
| X4 = X5
| ~ member(X5,X1)
| ~ apply(X2,X5,X3) )
| ~ injective(X2,X1,X0) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X2,X1] :
( ! [X3,X4,X5] :
( X4 = X5
| ~ apply(X2,X4,X3)
| ~ apply(X2,X5,X3)
| ~ member(X5,X1)
| ~ member(X3,X0)
| ~ member(X4,X1) )
| ~ injective(X2,X1,X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X2,X1] :
( injective(X2,X1,X0)
=> ! [X3,X4,X5] :
( ( member(X5,X1)
& member(X3,X0)
& member(X4,X1) )
=> ( ( apply(X2,X4,X3)
& apply(X2,X5,X3) )
=> X4 = X5 ) ) ),
inference(unused_predicate_definition_removal,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X1] :
( injective(X2,X1,X0)
<=> ! [X3,X4,X5] :
( ( member(X5,X1)
& member(X3,X0)
& member(X4,X1) )
=> ( ( apply(X2,X4,X3)
& apply(X2,X5,X3) )
=> X4 = X5 ) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X1,X0,X5] :
( ! [X4,X13,X12] :
( ( member(X4,X1)
& member(X13,X0)
& member(X12,X0) )
=> ( ( apply(X5,X12,X4)
& apply(X5,X13,X4) )
=> X12 = X13 ) )
<=> injective(X5,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',injective) ).
fof(f182,plain,
injective(sK10,sK12,sK13),
inference(cnf_transformation,[],[f129]) ).
fof(f216,plain,
( member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK13)
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl14_4
<=> member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f260,plain,
( ~ member(sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11),sK9)
| spl14_1
| ~ spl14_3 ),
inference(subsumption_resolution,[],[f259,f227]) ).
fof(f259,plain,
( ~ apply(sK10,sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11),sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ member(sK1(sK10,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK11),sK9)
| spl14_1
| ~ spl14_3 ),
inference(resolution,[],[f238,f226]) ).
fof(f238,plain,
( ! [X0] :
( ~ member(X0,sK11)
| ~ member(X0,sK9)
| ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13))) )
| ~ spl14_3 ),
inference(resolution,[],[f213,f168]) ).
fof(f213,plain,
( ! [X0] :
( ~ member(X0,intersection(sK11,sK9))
| ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13))) )
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f212,plain,
( spl14_3
<=> ! [X0] :
( ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ member(X0,intersection(sK11,sK9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f229,plain,
( spl14_1
| spl14_4 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl14_1
| spl14_4 ),
inference(subsumption_resolution,[],[f225,f217]) ).
fof(f217,plain,
( ~ member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK13)
| spl14_4 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f225,plain,
( member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK13)
| spl14_1 ),
inference(resolution,[],[f219,f137]) ).
fof(f218,plain,
( spl14_3
| ~ spl14_4
| spl14_1 ),
inference(avatar_split_clause,[],[f210,f198,f215,f212]) ).
fof(f210,plain,
( ! [X0] :
( ~ member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),sK13)
| ~ apply(sK10,X0,sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)))
| ~ member(X0,intersection(sK11,sK9)) )
| spl14_1 ),
inference(resolution,[],[f206,f136]) ).
fof(f206,plain,
( ~ member(sK7(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)),image3(sK10,intersection(sK11,sK9),sK13))
| spl14_1 ),
inference(resolution,[],[f200,f171]) ).
fof(f205,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f196,f202,f198]) ).
fof(f196,plain,
( ~ subset(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)))
| ~ subset(intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13)),image3(sK10,intersection(sK11,sK9),sK13)) ),
inference(resolution,[],[f183,f158]) ).
fof(f158,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( equal_set(X1,X0)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( subset(X1,X0)
& subset(X0,X1) )
<=> equal_set(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equal_set) ).
fof(f183,plain,
~ equal_set(image3(sK10,intersection(sK11,sK9),sK13),intersection(image3(sK10,sK11,sK13),image3(sK10,sK9,sK13))),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET761+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.12/0.13 % 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 : n018.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 14:23:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (24511)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.50 % (24511)Instruction limit reached!
% 0.19/0.50 % (24511)------------------------------
% 0.19/0.50 % (24511)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24527)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.50 % (24527)Instruction limit reached!
% 0.19/0.50 % (24527)------------------------------
% 0.19/0.50 % (24527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (24527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24527)Termination reason: Unknown
% 0.19/0.50 % (24527)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (24527)Memory used [KB]: 6140
% 0.19/0.50 % (24527)Time elapsed: 0.097 s
% 0.19/0.50 % (24527)Instructions burned: 8 (million)
% 0.19/0.50 % (24527)------------------------------
% 0.19/0.50 % (24527)------------------------------
% 0.19/0.50 % (24500)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.50 % (24511)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (24511)Termination reason: Unknown
% 0.19/0.50 % (24511)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (24511)Memory used [KB]: 1791
% 0.19/0.50 % (24511)Time elapsed: 0.091 s
% 0.19/0.50 % (24511)Instructions burned: 16 (million)
% 0.19/0.50 % (24511)------------------------------
% 0.19/0.50 % (24511)------------------------------
% 0.19/0.51 % (24501)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (24504)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (24515)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (24526)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (24525)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (24502)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24499)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (24500)Refutation not found, incomplete strategy% (24500)------------------------------
% 0.19/0.53 % (24500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24500)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (24500)Memory used [KB]: 6012
% 0.19/0.53 % (24500)Time elapsed: 0.131 s
% 0.19/0.53 % (24500)Instructions burned: 4 (million)
% 0.19/0.53 % (24500)------------------------------
% 0.19/0.53 % (24500)------------------------------
% 0.19/0.53 % (24519)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (24507)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)
% 0.19/0.53 % (24517)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (24521)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.53 % (24517)Instruction limit reached!
% 0.19/0.53 % (24517)------------------------------
% 0.19/0.53 % (24517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24517)Termination reason: Unknown
% 0.19/0.53 % (24517)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (24517)Memory used [KB]: 1407
% 0.19/0.53 % (24517)Time elapsed: 0.002 s
% 0.19/0.53 % (24517)Instructions burned: 2 (million)
% 0.19/0.53 % (24517)------------------------------
% 0.19/0.53 % (24517)------------------------------
% 0.19/0.53 % (24528)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (24514)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (24503)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (24501)Instruction limit reached!
% 0.19/0.53 % (24501)------------------------------
% 0.19/0.53 % (24501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (24501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24501)Termination reason: Unknown
% 0.19/0.53 % (24501)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24501)Memory used [KB]: 1535
% 0.19/0.53 % (24501)Time elapsed: 0.004 s
% 0.19/0.53 % (24501)Instructions burned: 4 (million)
% 0.19/0.53 % (24501)------------------------------
% 0.19/0.53 % (24501)------------------------------
% 0.19/0.54 % (24524)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.54 % (24514)Instruction limit reached!
% 0.19/0.54 % (24514)------------------------------
% 0.19/0.54 % (24514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24514)Termination reason: Unknown
% 0.19/0.54 % (24514)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24514)Memory used [KB]: 6140
% 0.19/0.54 % (24514)Time elapsed: 0.113 s
% 0.19/0.54 % (24514)Instructions burned: 7 (million)
% 0.19/0.54 % (24514)------------------------------
% 0.19/0.54 % (24514)------------------------------
% 0.19/0.54 % (24523)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (24516)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (24509)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.54 % (24513)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (24516)Instruction limit reached!
% 0.19/0.54 % (24516)------------------------------
% 0.19/0.54 % (24516)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24516)Termination reason: Unknown
% 0.19/0.54 % (24516)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (24516)Memory used [KB]: 1535
% 0.19/0.54 % (24516)Time elapsed: 0.003 s
% 0.19/0.54 % (24516)Instructions burned: 3 (million)
% 0.19/0.54 % (24516)------------------------------
% 0.19/0.54 % (24516)------------------------------
% 0.19/0.54 % (24508)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (24520)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (24513)Instruction limit reached!
% 0.19/0.54 % (24513)------------------------------
% 0.19/0.54 % (24513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24513)Termination reason: Unknown
% 0.19/0.54 % (24513)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24513)Memory used [KB]: 6012
% 0.19/0.54 % (24513)Time elapsed: 0.004 s
% 0.19/0.54 % (24513)Instructions burned: 4 (million)
% 0.19/0.54 % (24513)------------------------------
% 0.19/0.54 % (24513)------------------------------
% 0.19/0.54 % (24503)Instruction limit reached!
% 0.19/0.54 % (24503)------------------------------
% 0.19/0.54 % (24503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24503)Termination reason: Unknown
% 0.19/0.54 % (24503)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (24503)Memory used [KB]: 6140
% 0.19/0.54 % (24503)Time elapsed: 0.140 s
% 0.19/0.54 % (24503)Instructions burned: 13 (million)
% 0.19/0.54 % (24503)------------------------------
% 0.19/0.54 % (24503)------------------------------
% 0.19/0.54 % (24508)Refutation not found, incomplete strategy% (24508)------------------------------
% 0.19/0.54 % (24508)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24508)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (24508)Memory used [KB]: 6012
% 0.19/0.54 % (24508)Time elapsed: 0.151 s
% 0.19/0.54 % (24508)Instructions burned: 3 (million)
% 0.19/0.54 % (24508)------------------------------
% 0.19/0.54 % (24508)------------------------------
% 0.19/0.54 % (24522)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.54 % (24505)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (24518)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.54 % (24522)Refutation not found, incomplete strategy% (24522)------------------------------
% 0.19/0.54 % (24522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24522)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (24522)Memory used [KB]: 1535
% 0.19/0.54 % (24522)Time elapsed: 0.146 s
% 0.19/0.54 % (24522)Instructions burned: 2 (million)
% 0.19/0.54 % (24522)------------------------------
% 0.19/0.54 % (24522)------------------------------
% 0.19/0.54 % (24510)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (24506)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (24518)Refutation not found, incomplete strategy% (24518)------------------------------
% 0.19/0.54 % (24518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (24518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (24518)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (24518)Memory used [KB]: 6012
% 0.19/0.54 % (24518)Time elapsed: 0.147 s
% 0.19/0.54 % (24518)Instructions burned: 2 (million)
% 0.19/0.54 % (24518)------------------------------
% 0.19/0.54 % (24518)------------------------------
% 0.19/0.55 % (24510)Refutation not found, incomplete strategy% (24510)------------------------------
% 0.19/0.55 % (24510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24510)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (24510)Memory used [KB]: 6012
% 0.19/0.55 % (24510)Time elapsed: 0.148 s
% 0.19/0.55 % (24510)Instructions burned: 2 (million)
% 0.19/0.55 % (24510)------------------------------
% 0.19/0.55 % (24510)------------------------------
% 0.19/0.55 % (24512)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (24512)Refutation not found, incomplete strategy% (24512)------------------------------
% 0.19/0.55 % (24512)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24512)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (24512)Memory used [KB]: 6012
% 0.19/0.55 % (24512)Time elapsed: 0.158 s
% 0.19/0.55 % (24512)Instructions burned: 3 (million)
% 0.19/0.55 % (24512)------------------------------
% 0.19/0.55 % (24512)------------------------------
% 0.19/0.55 % (24504)Instruction limit reached!
% 0.19/0.55 % (24504)------------------------------
% 0.19/0.55 % (24504)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (24504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (24504)Termination reason: Unknown
% 0.19/0.55 % (24504)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (24504)Memory used [KB]: 1663
% 0.19/0.55 % (24504)Time elapsed: 0.154 s
% 0.19/0.55 % (24504)Instructions burned: 15 (million)
% 0.19/0.55 % (24504)------------------------------
% 0.19/0.55 % (24504)------------------------------
% 0.19/0.56 % (24509)Instruction limit reached!
% 0.19/0.56 % (24509)------------------------------
% 0.19/0.56 % (24509)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (24509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (24509)Termination reason: Unknown
% 0.19/0.56 % (24509)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (24509)Memory used [KB]: 6268
% 0.19/0.56 % (24509)Time elapsed: 0.152 s
% 0.19/0.56 % (24509)Instructions burned: 13 (million)
% 0.19/0.56 % (24509)------------------------------
% 0.19/0.56 % (24509)------------------------------
% 1.71/0.57 % (24519)Instruction limit reached!
% 1.71/0.57 % (24519)------------------------------
% 1.71/0.57 % (24519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (24519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (24519)Termination reason: Unknown
% 1.71/0.57 % (24519)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (24519)Memory used [KB]: 6396
% 1.71/0.57 % (24519)Time elapsed: 0.174 s
% 1.71/0.57 % (24519)Instructions burned: 31 (million)
% 1.71/0.57 % (24519)------------------------------
% 1.71/0.57 % (24519)------------------------------
% 1.71/0.58 % (24525)First to succeed.
% 1.71/0.58 % (24525)Refutation found. Thanks to Tanya!
% 1.71/0.58 % SZS status Theorem for theBenchmark
% 1.71/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.58 % (24525)------------------------------
% 1.71/0.58 % (24525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (24525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (24525)Termination reason: Refutation
% 1.71/0.58
% 1.71/0.58 % (24525)Memory used [KB]: 6396
% 1.71/0.58 % (24525)Time elapsed: 0.167 s
% 1.71/0.58 % (24525)Instructions burned: 22 (million)
% 1.71/0.58 % (24525)------------------------------
% 1.71/0.58 % (24525)------------------------------
% 1.71/0.58 % (24498)Success in time 0.221 s
%------------------------------------------------------------------------------