TSTP Solution File: SET601+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET601+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:21:33 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 150 ( 9 unt; 0 def)
% Number of atoms : 391 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 413 ( 172 ~; 196 |; 23 &)
% ( 20 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 90 ( 78 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f625,plain,
$false,
inference(avatar_sat_refutation,[],[f102,f103,f137,f158,f174,f183,f184,f214,f232,f258,f302,f304,f388,f398,f417,f425,f428,f493,f499,f501,f502,f504,f557,f559,f587,f588,f589,f591,f593,f624]) ).
fof(f624,plain,
( ~ spl6_12
| spl6_19 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl6_12
| spl6_19 ),
inference(subsumption_resolution,[],[f617,f497]) ).
fof(f497,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| spl6_19 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl6_19
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_19])]) ).
fof(f617,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| ~ spl6_12 ),
inference(resolution,[],[f228,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,intersection(X1,X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X1,X0)) )
& ( member(X2,intersection(X1,X0))
| ~ member(X2,X0)
| ~ member(X2,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( member(X2,X0)
& member(X2,X1) )
<=> member(X2,intersection(X1,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X0,X2] :
( ( member(X2,X1)
& member(X2,X0) )
<=> member(X2,intersection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f228,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK2,sK1))
| ~ spl6_12 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl6_12
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_12])]) ).
fof(f593,plain,
( ~ spl6_16
| spl6_10
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f592,f328,f197,f332]) ).
fof(f332,plain,
( spl6_16
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_16])]) ).
fof(f197,plain,
( spl6_10
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(union(sK0,sK2),union(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_10])]) ).
fof(f328,plain,
( spl6_15
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_15])]) ).
fof(f592,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK0,sK2))
| spl6_10
| ~ spl6_15 ),
inference(subsumption_resolution,[],[f560,f329]) ).
fof(f329,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK2,sK1))
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f560,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK0,sK2))
| ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK2,sK1))
| spl6_10 ),
inference(resolution,[],[f199,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,intersection(X1,X0))
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f199,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(union(sK0,sK2),union(sK2,sK1)))
| spl6_10 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f591,plain,
( ~ spl6_6
| spl6_15 ),
inference(avatar_contradiction_clause,[],[f590]) ).
fof(f590,plain,
( $false
| ~ spl6_6
| spl6_15 ),
inference(subsumption_resolution,[],[f578,f135]) ).
fof(f135,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl6_6
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_6])]) ).
fof(f578,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| spl6_15 ),
inference(resolution,[],[f330,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ member(X2,X0)
| member(X2,union(X1,X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( member(X2,union(X1,X0))
| ( ~ member(X2,X0)
& ~ member(X2,X1) ) )
& ( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X0,X2,X1] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X2,X0)) ) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X2,X1] :
( ( member(X1,union(X2,X0))
| ( ~ member(X1,X0)
& ~ member(X1,X2) ) )
& ( member(X1,X0)
| member(X1,X2)
| ~ member(X1,union(X2,X0)) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X2,X1] :
( member(X1,union(X2,X0))
<=> ( member(X1,X0)
| member(X1,X2) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( ( member(X2,X0)
| member(X2,X1) )
<=> member(X2,union(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union_defn) ).
fof(f330,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK2,sK1))
| spl6_15 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f589,plain,
( spl6_12
| spl6_11
| ~ spl6_8 ),
inference(avatar_split_clause,[],[f536,f171,f222,f226]) ).
fof(f222,plain,
( spl6_11
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_11])]) ).
fof(f171,plain,
( spl6_8
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(intersection(sK0,sK2),intersection(sK2,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_8])]) ).
fof(f536,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK0,sK2))
| member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK2,sK1))
| ~ spl6_8 ),
inference(resolution,[],[f173,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(X2,X0)
| member(X2,X1)
| ~ member(X2,union(X1,X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f173,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(intersection(sK0,sK2),intersection(sK2,sK1)))
| ~ spl6_8 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f588,plain,
( ~ spl6_19
| spl6_15 ),
inference(avatar_split_clause,[],[f579,f328,f496]) ).
fof(f579,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| spl6_15 ),
inference(resolution,[],[f330,f61]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ member(X2,X1)
| member(X2,union(X1,X0)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f587,plain,
( spl6_19
| ~ spl6_11 ),
inference(avatar_split_clause,[],[f542,f222,f496]) ).
fof(f542,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| ~ spl6_11 ),
inference(resolution,[],[f224,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( member(X2,X0)
| ~ member(X2,intersection(X1,X0)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f224,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK0,sK2))
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f559,plain,
( spl6_16
| ~ spl6_19 ),
inference(avatar_contradiction_clause,[],[f558]) ).
fof(f558,plain,
( $false
| spl6_16
| ~ spl6_19 ),
inference(subsumption_resolution,[],[f549,f498]) ).
fof(f498,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f549,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| spl6_16 ),
inference(resolution,[],[f334,f62]) ).
fof(f334,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK0,sK2))
| spl6_16 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f557,plain,
( ~ spl6_5
| spl6_16 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f556,plain,
( $false
| ~ spl6_5
| spl6_16 ),
inference(subsumption_resolution,[],[f550,f131]) ).
fof(f131,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl6_5
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_5])]) ).
fof(f550,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| spl6_16 ),
inference(resolution,[],[f334,f61]) ).
fof(f504,plain,
( spl6_8
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f503,plain,
( $false
| spl6_8
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f409,f224]) ).
fof(f409,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK0,sK2))
| spl6_8 ),
inference(resolution,[],[f172,f61]) ).
fof(f172,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(intersection(sK0,sK2),intersection(sK2,sK1)))
| spl6_8 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f502,plain,
( ~ spl6_19
| ~ spl6_6
| spl6_12 ),
inference(avatar_split_clause,[],[f463,f226,f134,f496]) ).
fof(f463,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| spl6_12 ),
inference(resolution,[],[f227,f53]) ).
fof(f227,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK2,sK1))
| spl6_12 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f501,plain,
( ~ spl6_19
| ~ spl6_5
| spl6_11 ),
inference(avatar_split_clause,[],[f500,f222,f130,f496]) ).
fof(f500,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| ~ spl6_5
| spl6_11 ),
inference(subsumption_resolution,[],[f272,f131]) ).
fof(f272,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| spl6_11 ),
inference(resolution,[],[f223,f53]) ).
fof(f223,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK0,sK2))
| spl6_11 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f499,plain,
( spl6_19
| spl6_6
| ~ spl6_15 ),
inference(avatar_split_clause,[],[f470,f328,f134,f496]) ).
fof(f470,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| ~ spl6_15 ),
inference(resolution,[],[f329,f60]) ).
fof(f493,plain,
( spl6_5
| ~ spl6_6
| spl6_12
| ~ spl6_16 ),
inference(avatar_contradiction_clause,[],[f492]) ).
fof(f492,plain,
( $false
| spl6_5
| ~ spl6_6
| spl6_12
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f491,f469]) ).
fof(f469,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| ~ spl6_6
| spl6_12 ),
inference(subsumption_resolution,[],[f463,f135]) ).
fof(f491,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| spl6_5
| ~ spl6_16 ),
inference(subsumption_resolution,[],[f485,f132]) ).
fof(f132,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| spl6_5 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f485,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK2)
| member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| ~ spl6_16 ),
inference(resolution,[],[f333,f60]) ).
fof(f333,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK0,sK2))
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f428,plain,
( spl6_15
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f418,f197,f328]) ).
fof(f418,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK2,sK1))
| ~ spl6_10 ),
inference(resolution,[],[f198,f55]) ).
fof(f198,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(union(sK0,sK2),union(sK2,sK1)))
| ~ spl6_10 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f425,plain,
( spl6_16
| ~ spl6_10 ),
inference(avatar_split_clause,[],[f419,f197,f332]) ).
fof(f419,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK0,sK2))
| ~ spl6_10 ),
inference(resolution,[],[f198,f54]) ).
fof(f417,plain,
( ~ spl6_12
| spl6_8 ),
inference(avatar_split_clause,[],[f408,f171,f226]) ).
fof(f408,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK2,sK1))
| spl6_8 ),
inference(resolution,[],[f172,f62]) ).
fof(f398,plain,
( ~ spl6_2
| spl6_10 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl6_2
| spl6_10 ),
inference(subsumption_resolution,[],[f391,f199]) ).
fof(f391,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(union(sK0,sK2),union(sK2,sK1)))
| ~ spl6_2 ),
inference(resolution,[],[f100,f54]) ).
fof(f100,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)))
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl6_2
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).
fof(f388,plain,
( spl6_1
| ~ spl6_8 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| spl6_1
| ~ spl6_8 ),
inference(subsumption_resolution,[],[f381,f173]) ).
fof(f381,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(intersection(sK0,sK2),intersection(sK2,sK1)))
| spl6_1 ),
inference(resolution,[],[f97,f61]) ).
fof(f97,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)))
| spl6_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl6_1
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).
fof(f304,plain,
( ~ spl6_10
| spl6_2
| ~ spl6_9 ),
inference(avatar_split_clause,[],[f303,f193,f99,f197]) ).
fof(f193,plain,
( spl6_9
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_9])]) ).
fof(f303,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(union(sK0,sK2),union(sK2,sK1)))
| spl6_2
| ~ spl6_9 ),
inference(subsumption_resolution,[],[f260,f194]) ).
fof(f194,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK1,sK0))
| ~ spl6_9 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f260,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(union(sK0,sK2),union(sK2,sK1)))
| ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK1,sK0))
| spl6_2 ),
inference(resolution,[],[f101,f53]) ).
fof(f101,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)))
| spl6_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f302,plain,
( spl6_6
| ~ spl6_12 ),
inference(avatar_split_clause,[],[f293,f226,f134]) ).
fof(f293,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| ~ spl6_12 ),
inference(resolution,[],[f228,f55]) ).
fof(f258,plain,
( spl6_5
| ~ spl6_11 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| spl6_5
| ~ spl6_11 ),
inference(subsumption_resolution,[],[f251,f132]) ).
fof(f251,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| ~ spl6_11 ),
inference(resolution,[],[f224,f54]) ).
fof(f232,plain,
( ~ spl6_5
| spl6_9 ),
inference(avatar_split_clause,[],[f207,f193,f130]) ).
fof(f207,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| spl6_9 ),
inference(resolution,[],[f195,f62]) ).
fof(f195,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK1,sK0))
| spl6_9 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f214,plain,
( ~ spl6_6
| spl6_9 ),
inference(avatar_split_clause,[],[f208,f193,f134]) ).
fof(f208,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| spl6_9 ),
inference(resolution,[],[f195,f61]) ).
fof(f184,plain,
( spl6_6
| ~ spl6_7 ),
inference(avatar_split_clause,[],[f176,f167,f134]) ).
fof(f167,plain,
( spl6_7
<=> member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl6_7])]) ).
fof(f176,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| ~ spl6_7 ),
inference(resolution,[],[f169,f54]) ).
fof(f169,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK1,sK0))
| ~ spl6_7 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f183,plain,
( spl6_5
| ~ spl6_7 ),
inference(avatar_contradiction_clause,[],[f182]) ).
fof(f182,plain,
( $false
| spl6_5
| ~ spl6_7 ),
inference(subsumption_resolution,[],[f175,f132]) ).
fof(f175,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| ~ spl6_7 ),
inference(resolution,[],[f169,f55]) ).
fof(f174,plain,
( spl6_7
| spl6_8
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f160,f95,f171,f167]) ).
fof(f160,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(intersection(sK0,sK2),intersection(sK2,sK1)))
| member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK1,sK0))
| ~ spl6_1 ),
inference(resolution,[],[f96,f60]) ).
fof(f96,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)))
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f158,plain,
( spl6_6
| ~ spl6_2
| spl6_5 ),
inference(avatar_split_clause,[],[f157,f130,f99,f134]) ).
fof(f157,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| ~ spl6_2
| spl6_5 ),
inference(subsumption_resolution,[],[f151,f132]) ).
fof(f151,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| ~ spl6_2 ),
inference(resolution,[],[f144,f60]) ).
fof(f144,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(sK1,sK0))
| ~ spl6_2 ),
inference(resolution,[],[f100,f55]) ).
fof(f137,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_1 ),
inference(avatar_split_clause,[],[f123,f95,f134,f130]) ).
fof(f123,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK1)
| ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),sK0)
| spl6_1 ),
inference(resolution,[],[f116,f53]) ).
fof(f116,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(sK1,sK0))
| spl6_1 ),
inference(resolution,[],[f97,f62]) ).
fof(f103,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f93,f99,f95]) ).
fof(f93,plain,
( member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)))
| member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0))) ),
inference(resolution,[],[f80,f89]) ).
fof(f89,plain,
! [X0,X1] :
( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1)
| sQ5_eqProxy(X0,X1) ),
inference(equality_proxy_replacement,[],[f70,f78]) ).
fof(f78,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ5_eqProxy])]) ).
fof(f70,plain,
! [X0,X1] :
( X0 = X1
| member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( ! [X2] :
( ( member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,X1) ) )
| X0 != X1 )
& ( X0 = X1
| ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f46,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ? [X3] :
( ( ~ member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X0)
| member(X3,X1) ) )
=> ( ( ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) )
& ( member(sK4(X0,X1),X0)
| member(sK4(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ( ! [X2] :
( ( member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X0)
| ~ member(X2,X1) ) )
| X0 != X1 )
& ( X0 = X1
| ? [X3] :
( ( ~ member(X3,X0)
| ~ member(X3,X1) )
& ( member(X3,X0)
| member(X3,X1) ) ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( ! [X2] :
( ( member(X2,X0)
| ~ member(X2,X1) )
& ( member(X2,X1)
| ~ member(X2,X0) ) )
| X0 != X1 )
& ( X0 = X1
| ? [X2] :
( ( ~ member(X2,X1)
| ~ member(X2,X0) )
& ( member(X2,X1)
| member(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ! [X2] :
( member(X2,X0)
<=> member(X2,X1) )
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_member_defn) ).
fof(f80,plain,
~ sQ5_eqProxy(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),
inference(equality_proxy_replacement,[],[f51,f78]) ).
fof(f51,plain,
union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)) != intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)) != intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f28]) ).
fof(f28,plain,
( ? [X0,X1,X2] : union(union(intersection(X0,X2),intersection(X2,X1)),intersection(X1,X0)) != intersection(intersection(union(X0,X2),union(X2,X1)),union(X1,X0))
=> union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)) != intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] : union(union(intersection(X0,X2),intersection(X2,X1)),intersection(X1,X0)) != intersection(intersection(union(X0,X2),union(X2,X1)),union(X1,X0)),
inference(rectify,[],[f24]) ).
fof(f24,plain,
? [X2,X1,X0] : intersection(intersection(union(X2,X0),union(X0,X1)),union(X1,X2)) != union(union(intersection(X2,X0),intersection(X0,X1)),intersection(X1,X2)),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ! [X2,X0,X1] : intersection(intersection(union(X2,X0),union(X0,X1)),union(X1,X2)) = union(union(intersection(X2,X0),intersection(X0,X1)),intersection(X1,X2)),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X1,X2,X0] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X1,X2,X0] : union(union(intersection(X0,X1),intersection(X1,X2)),intersection(X2,X0)) = intersection(intersection(union(X0,X1),union(X1,X2)),union(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th72) ).
fof(f102,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f91,f99,f95]) ).
fof(f91,plain,
( ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0)))
| ~ member(sK4(union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0)),intersection(intersection(union(sK0,sK2),union(sK2,sK1)),union(sK1,sK0))),union(union(intersection(sK0,sK2),intersection(sK2,sK1)),intersection(sK1,sK0))) ),
inference(resolution,[],[f80,f88]) ).
fof(f88,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ member(sK4(X0,X1),X1)
| ~ member(sK4(X0,X1),X0) ),
inference(equality_proxy_replacement,[],[f71,f78]) ).
fof(f71,plain,
! [X0,X1] :
( X0 = X1
| ~ member(sK4(X0,X1),X0)
| ~ member(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET601+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 14:05:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 % (26236)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)
% 0.19/0.49 % (26252)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)
% 0.19/0.50 % (26257)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)
% 0.19/0.50 % (26233)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)
% 0.19/0.50 % (26234)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)
% 0.19/0.50 % (26244)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)
% 0.19/0.50 % (26233)Refutation not found, incomplete strategy% (26233)------------------------------
% 0.19/0.50 % (26233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (26233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (26233)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (26233)Memory used [KB]: 5884
% 0.19/0.50 % (26233)Time elapsed: 0.120 s
% 0.19/0.50 % (26233)Instructions burned: 4 (million)
% 0.19/0.50 % (26233)------------------------------
% 0.19/0.50 % (26233)------------------------------
% 0.19/0.51 % (26245)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)
% 0.19/0.51 % (26241)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)
% 0.19/0.51 % (26245)Instruction limit reached!
% 0.19/0.51 % (26245)------------------------------
% 0.19/0.51 % (26245)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26237)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)
% 0.19/0.51 % (26241)Instruction limit reached!
% 0.19/0.51 % (26241)------------------------------
% 0.19/0.51 % (26241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26241)Termination reason: Unknown
% 0.19/0.51 % (26241)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (26241)Memory used [KB]: 6012
% 0.19/0.51 % (26241)Time elapsed: 0.130 s
% 0.19/0.51 % (26241)Instructions burned: 8 (million)
% 0.19/0.51 % (26241)------------------------------
% 0.19/0.51 % (26241)------------------------------
% 0.19/0.51 % (26244)Instruction limit reached!
% 0.19/0.51 % (26244)------------------------------
% 0.19/0.51 % (26244)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (26244)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (26244)Termination reason: Unknown
% 0.19/0.51 % (26244)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (26244)Memory used [KB]: 5884
% 0.19/0.51 % (26244)Time elapsed: 0.005 s
% 0.19/0.51 % (26244)Instructions burned: 3 (million)
% 0.19/0.51 % (26244)------------------------------
% 0.19/0.51 % (26244)------------------------------
% 0.19/0.51 % (26235)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 % (26248)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)
% 0.19/0.52 % (26235)Refutation not found, incomplete strategy% (26235)------------------------------
% 0.19/0.52 % (26235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26235)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (26235)Memory used [KB]: 1407
% 0.19/0.52 % (26235)Time elapsed: 0.121 s
% 0.19/0.52 % (26235)Instructions burned: 3 (million)
% 0.19/0.52 % (26235)------------------------------
% 0.19/0.52 % (26235)------------------------------
% 0.19/0.52 % (26239)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)
% 0.19/0.52 % (26248)Instruction limit reached!
% 0.19/0.52 % (26248)------------------------------
% 0.19/0.52 % (26248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26248)Termination reason: Unknown
% 0.19/0.52 % (26248)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26248)Memory used [KB]: 5884
% 0.19/0.52 % (26248)Time elapsed: 0.133 s
% 0.19/0.52 % (26248)Instructions burned: 3 (million)
% 0.19/0.52 % (26248)------------------------------
% 0.19/0.52 % (26248)------------------------------
% 0.19/0.52 % (26239)Refutation not found, incomplete strategy% (26239)------------------------------
% 0.19/0.52 % (26239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26239)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (26239)Memory used [KB]: 5884
% 0.19/0.52 % (26239)Time elapsed: 0.121 s
% 0.19/0.52 % (26239)Instructions burned: 2 (million)
% 0.19/0.52 % (26239)------------------------------
% 0.19/0.52 % (26239)------------------------------
% 0.19/0.52 % (26259)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)
% 0.19/0.52 % (26236)Instruction limit reached!
% 0.19/0.52 % (26236)------------------------------
% 0.19/0.52 % (26236)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26236)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26236)Termination reason: Unknown
% 0.19/0.52 % (26236)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26236)Memory used [KB]: 6396
% 0.19/0.52 % (26236)Time elapsed: 0.124 s
% 0.19/0.52 % (26236)Instructions burned: 40 (million)
% 0.19/0.52 % (26236)------------------------------
% 0.19/0.52 % (26236)------------------------------
% 0.19/0.52 % (26237)Refutation not found, incomplete strategy% (26237)------------------------------
% 0.19/0.52 % (26237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26237)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26237)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (26237)Memory used [KB]: 6012
% 0.19/0.52 % (26237)Time elapsed: 0.084 s
% 0.19/0.52 % (26237)Instructions burned: 3 (million)
% 0.19/0.52 % (26237)------------------------------
% 0.19/0.52 % (26237)------------------------------
% 0.19/0.52 % (26245)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (26245)Termination reason: Unknown
% 0.19/0.52 % (26245)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (26245)Memory used [KB]: 6012
% 0.19/0.52 % (26245)Time elapsed: 0.072 s
% 0.19/0.52 % (26245)Instructions burned: 8 (million)
% 0.19/0.52 % (26245)------------------------------
% 0.19/0.52 % (26245)------------------------------
% 0.19/0.52 % (26260)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)
% 0.19/0.52 % (26259)Refutation not found, incomplete strategy% (26259)------------------------------
% 0.19/0.52 % (26259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (26230)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (26231)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)
% 0.19/0.52 % (26232)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 % (26242)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)
% 0.19/0.53 % (26253)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)
% 0.19/0.53 % (26238)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 % (26253)Refutation not found, incomplete strategy% (26253)------------------------------
% 0.19/0.53 % (26253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26253)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (26253)Memory used [KB]: 1535
% 0.19/0.53 % (26253)Time elapsed: 0.112 s
% 0.19/0.53 % (26253)Instructions burned: 4 (million)
% 0.19/0.53 % (26253)------------------------------
% 0.19/0.53 % (26253)------------------------------
% 0.19/0.53 % (26240)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)
% 0.19/0.53 % (26250)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 % (26238)Refutation not found, incomplete strategy% (26238)------------------------------
% 0.19/0.53 % (26238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26258)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 % (26251)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)
% 0.19/0.53 % (26243)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)
% 0.19/0.53 % (26259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26259)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (26259)Memory used [KB]: 6012
% 0.19/0.53 % (26259)Time elapsed: 0.115 s
% 0.19/0.53 % (26259)Instructions burned: 3 (million)
% 0.19/0.53 % (26259)------------------------------
% 0.19/0.53 % (26259)------------------------------
% 0.19/0.53 % (26234)Instruction limit reached!
% 0.19/0.53 % (26234)------------------------------
% 0.19/0.53 % (26234)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (26234)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (26234)Termination reason: Unknown
% 0.19/0.53 % (26234)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (26234)Memory used [KB]: 6140
% 0.19/0.53 % (26234)Time elapsed: 0.137 s
% 0.19/0.53 % (26234)Instructions burned: 14 (million)
% 0.19/0.53 % (26234)------------------------------
% 0.19/0.53 % (26234)------------------------------
% 0.19/0.53 % (26240)First to succeed.
% 0.19/0.54 % (26231)Refutation not found, incomplete strategy% (26231)------------------------------
% 0.19/0.54 % (26231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26251)Refutation not found, incomplete strategy% (26251)------------------------------
% 0.19/0.54 % (26251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26246)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)
% 0.19/0.54 % (26231)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (26231)Memory used [KB]: 5884
% 0.19/0.54 % (26231)Time elapsed: 0.142 s
% 0.19/0.54 % (26231)Instructions burned: 3 (million)
% 0.19/0.54 % (26231)------------------------------
% 0.19/0.54 % (26231)------------------------------
% 0.19/0.54 % (26251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26251)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (26251)Memory used [KB]: 6012
% 0.19/0.54 % (26251)Time elapsed: 0.145 s
% 0.19/0.54 % (26251)Instructions burned: 2 (million)
% 0.19/0.54 % (26251)------------------------------
% 0.19/0.54 % (26251)------------------------------
% 0.19/0.54 % (26242)Refutation not found, incomplete strategy% (26242)------------------------------
% 0.19/0.54 % (26242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26242)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (26242)Memory used [KB]: 1535
% 0.19/0.54 % (26242)Time elapsed: 0.149 s
% 0.19/0.54 % (26242)Instructions burned: 3 (million)
% 0.19/0.54 % (26242)------------------------------
% 0.19/0.54 % (26242)------------------------------
% 0.19/0.54 % (26257)Refutation not found, incomplete strategy% (26257)------------------------------
% 0.19/0.54 % (26257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (26256)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 % (26257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (26257)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (26257)Memory used [KB]: 6780
% 0.19/0.54 % (26257)Time elapsed: 0.148 s
% 0.19/0.54 % (26257)Instructions burned: 30 (million)
% 0.19/0.54 % (26257)------------------------------
% 0.19/0.54 % (26257)------------------------------
% 0.19/0.54 % (26249)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)
% 0.19/0.55 % (26249)Also succeeded, but the first one will report.
% 0.19/0.55 % (26247)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (26238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26238)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.55
% 0.19/0.55 % (26238)Memory used [KB]: 5884
% 0.19/0.55 % (26247)Instruction limit reached!
% 0.19/0.55 % (26247)------------------------------
% 0.19/0.55 % (26247)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26238)Time elapsed: 0.133 s
% 0.19/0.55 % (26247)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26247)Termination reason: Unknown
% 0.19/0.55 % (26247)Termination phase: Finite model building preprocessing
% 0.19/0.55
% 0.19/0.55 % (26247)Memory used [KB]: 1407
% 0.19/0.55 % (26247)Time elapsed: 0.002 s
% 0.19/0.55 % (26247)Instructions burned: 3 (million)
% 0.19/0.55 % (26247)------------------------------
% 0.19/0.55 % (26247)------------------------------
% 0.19/0.55 % (26238)Instructions burned: 4 (million)
% 0.19/0.55 % (26238)------------------------------
% 0.19/0.55 % (26238)------------------------------
% 0.19/0.55 % (26232)Instruction limit reached!
% 0.19/0.55 % (26232)------------------------------
% 0.19/0.55 % (26232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26232)Termination reason: Unknown
% 0.19/0.55 % (26232)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (26232)Memory used [KB]: 5884
% 0.19/0.55 % (26232)Time elapsed: 0.154 s
% 0.19/0.55 % (26232)Instructions burned: 3 (million)
% 0.19/0.55 % (26232)------------------------------
% 0.19/0.55 % (26232)------------------------------
% 0.19/0.55 % (26240)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Theorem for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (26240)------------------------------
% 0.19/0.55 % (26240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (26240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (26240)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (26240)Memory used [KB]: 6140
% 0.19/0.55 % (26240)Time elapsed: 0.138 s
% 0.19/0.55 % (26240)Instructions burned: 9 (million)
% 0.19/0.55 % (26240)------------------------------
% 0.19/0.55 % (26240)------------------------------
% 0.19/0.55 % (26224)Success in time 0.2 s
%------------------------------------------------------------------------------