TSTP Solution File: SET681+3 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET681+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 : n014.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 18:21:52 EDT 2022
% Result : Theorem 1.42s 0.58s
% Output : Refutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 32
% Syntax : Number of formulae : 132 ( 14 unt; 0 def)
% Number of atoms : 594 ( 3 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 746 ( 284 ~; 268 |; 124 &)
% ( 25 <=>; 43 =>; 0 <=; 2 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 17 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 205 ( 148 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2951,plain,
$false,
inference(avatar_sat_refutation,[],[f198,f219,f455,f469,f474,f479,f541,f551,f575,f650,f661,f677,f769,f771,f783,f786,f2946,f2950]) ).
fof(f2950,plain,
( ~ spl16_28
| ~ spl16_26
| spl16_48
| ~ spl16_35
| ~ spl16_55 ),
inference(avatar_split_clause,[],[f2947,f2944,f548,f780,f435,f444]) ).
fof(f444,plain,
( spl16_28
<=> ilf_type(sK11,set_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f435,plain,
( spl16_26
<=> ilf_type(sK12,set_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f780,plain,
( spl16_48
<=> member(sK3(sK14,sK13),sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_48])]) ).
fof(f548,plain,
( spl16_35
<=> ilf_type(sK13,relation_type(sK12,sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_35])]) ).
fof(f2944,plain,
( spl16_55
<=> ! [X4,X5] :
( member(sK3(sK14,sK13),X5)
| ~ ilf_type(X5,set_type)
| ~ ilf_type(sK13,relation_type(X5,X4))
| ~ ilf_type(X4,set_type) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_55])]) ).
fof(f2947,plain,
( member(sK3(sK14,sK13),sK12)
| ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK11,set_type)
| ~ spl16_35
| ~ spl16_55 ),
inference(resolution,[],[f2945,f549]) ).
fof(f549,plain,
( ilf_type(sK13,relation_type(sK12,sK11))
| ~ spl16_35 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f2945,plain,
( ! [X4,X5] :
( ~ ilf_type(sK13,relation_type(X5,X4))
| ~ ilf_type(X4,set_type)
| member(sK3(sK14,sK13),X5)
| ~ ilf_type(X5,set_type) )
| ~ spl16_55 ),
inference(avatar_component_clause,[],[f2944]) ).
fof(f2946,plain,
( ~ spl16_34
| ~ spl16_33
| spl16_55
| ~ spl16_22
| ~ spl16_47 ),
inference(avatar_split_clause,[],[f2940,f776,f331,f2944,f528,f532]) ).
fof(f532,plain,
( spl16_34
<=> member(sK14,range_of(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_34])]) ).
fof(f528,plain,
( spl16_33
<=> ilf_type(sK13,binary_relation_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f331,plain,
( spl16_22
<=> ilf_type(sK14,set_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f776,plain,
( spl16_47
<=> ilf_type(sK3(sK14,sK13),set_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_47])]) ).
fof(f2940,plain,
( ! [X4,X5] :
( ~ ilf_type(sK14,set_type)
| member(sK3(sK14,sK13),X5)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(sK13,relation_type(X5,X4))
| ~ ilf_type(sK13,binary_relation_type)
| ~ ilf_type(X5,set_type)
| ~ member(sK14,range_of(sK13)) )
| ~ spl16_47 ),
inference(resolution,[],[f643,f777]) ).
fof(f777,plain,
( ilf_type(sK3(sK14,sK13),set_type)
| ~ spl16_47 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f643,plain,
! [X2,X3,X4,X5] :
( ~ ilf_type(sK3(X2,X3),set_type)
| ~ ilf_type(X3,binary_relation_type)
| ~ ilf_type(X5,set_type)
| ~ member(X2,range_of(X3))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X4,X5))
| ~ ilf_type(X4,set_type)
| member(sK3(X2,X3),X4) ),
inference(duplicate_literal_removal,[],[f640]) ).
fof(f640,plain,
! [X2,X3,X4,X5] :
( ~ ilf_type(sK3(X2,X3),set_type)
| ~ ilf_type(X2,set_type)
| member(sK3(X2,X3),X4)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X4,set_type)
| ~ ilf_type(X3,relation_type(X4,X5))
| ~ ilf_type(X5,set_type)
| ~ member(X2,range_of(X3))
| ~ ilf_type(X3,binary_relation_type) ),
inference(resolution,[],[f142,f131]) ).
fof(f131,plain,
! [X0,X1] :
( member(ordered_pair(sK3(X0,X1),X0),X1)
| ~ member(X0,range_of(X1))
| ~ ilf_type(X1,binary_relation_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ( member(ordered_pair(sK3(X0,X1),X0),X1)
& ilf_type(sK3(X0,X1),set_type) )
| ~ member(X0,range_of(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
=> ( member(ordered_pair(sK3(X0,X1),X0),X1)
& ilf_type(sK3(X0,X1),set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X3] :
( member(ordered_pair(X3,X0),X1)
& ilf_type(X3,set_type) )
| ~ member(X0,range_of(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( ( member(X0,range_of(X1))
| ! [X2] :
( ~ member(ordered_pair(X2,X0),X1)
| ~ ilf_type(X2,set_type) ) )
& ( ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) )
| ~ member(X0,range_of(X1)) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,binary_relation_type)
| ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,binary_relation_type)
=> ( member(X0,range_of(X1))
<=> ? [X2] :
( member(ordered_pair(X2,X0),X1)
& ilf_type(X2,set_type) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
fof(f142,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(ordered_pair(X2,X3),X4)
| member(X2,X0)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X4,relation_type(X0,X1))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,set_type) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,set_type)
| ! [X3] :
( ~ ilf_type(X3,set_type)
| ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) ) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ( member(X3,X1)
& member(X2,X0) )
| ~ member(ordered_pair(X2,X3),X4)
| ~ ilf_type(X4,relation_type(X0,X1)) )
| ~ ilf_type(X3,set_type) )
| ~ ilf_type(X2,set_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,set_type)
=> ! [X3] :
( ilf_type(X3,set_type)
=> ! [X4] :
( ilf_type(X4,relation_type(X0,X1))
=> ( member(ordered_pair(X2,X3),X4)
=> ( member(X3,X1)
& member(X2,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
fof(f786,plain,
spl16_47,
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f785,plain,
( $false
| spl16_47 ),
inference(resolution,[],[f778,f138]) ).
fof(f138,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] : ilf_type(X0,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).
fof(f778,plain,
( ~ ilf_type(sK3(sK14,sK13),set_type)
| spl16_47 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f783,plain,
( ~ spl16_26
| ~ spl16_47
| ~ spl16_48
| spl16_9
| spl16_45 ),
inference(avatar_split_clause,[],[f774,f674,f235,f780,f776,f435]) ).
fof(f235,plain,
( spl16_9
<=> empty(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f674,plain,
( spl16_45
<=> ilf_type(sK3(sK14,sK13),member_type(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_45])]) ).
fof(f774,plain,
( empty(sK12)
| ~ member(sK3(sK14,sK13),sK12)
| ~ ilf_type(sK3(sK14,sK13),set_type)
| ~ ilf_type(sK12,set_type)
| spl16_45 ),
inference(resolution,[],[f676,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ilf_type(X0,member_type(X1))
| ~ member(X0,X1)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| empty(X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ( ilf_type(X0,member_type(X1))
| ~ member(X0,X1) )
& ( member(X0,X1)
| ~ ilf_type(X0,member_type(X1)) ) )
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) )
| empty(X1)
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ( ~ empty(X1)
& ilf_type(X1,set_type) )
=> ( ilf_type(X0,member_type(X1))
<=> member(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
fof(f676,plain,
( ~ ilf_type(sK3(sK14,sK13),member_type(sK12))
| spl16_45 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f771,plain,
( spl16_33
| ~ spl16_46 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| spl16_33
| ~ spl16_46 ),
inference(resolution,[],[f767,f584]) ).
fof(f584,plain,
( ~ relation_like(sK13)
| spl16_33 ),
inference(resolution,[],[f530,f263]) ).
fof(f263,plain,
! [X0] :
( ilf_type(X0,binary_relation_type)
| ~ relation_like(X0) ),
inference(resolution,[],[f190,f138]) ).
fof(f190,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ~ relation_like(X0)
| ilf_type(X0,binary_relation_type) ),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ relation_like(X0)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ilf_type(X0,binary_relation_type) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ( ilf_type(X0,binary_relation_type)
| ~ ilf_type(X0,set_type)
| ~ relation_like(X0) )
& ( ( ilf_type(X0,set_type)
& relation_like(X0) )
| ~ ilf_type(X0,binary_relation_type) ) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ( ilf_type(X0,binary_relation_type)
<=> ( ilf_type(X0,set_type)
& relation_like(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
fof(f530,plain,
( ~ ilf_type(sK13,binary_relation_type)
| spl16_33 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f767,plain,
( relation_like(sK13)
| ~ spl16_46 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl16_46
<=> relation_like(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_46])]) ).
fof(f769,plain,
( spl16_46
| ~ spl16_28
| ~ spl16_26
| ~ spl16_35 ),
inference(avatar_split_clause,[],[f760,f548,f435,f444,f765]) ).
fof(f760,plain,
( ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK11,set_type)
| relation_like(sK13)
| ~ spl16_35 ),
inference(resolution,[],[f496,f549]) ).
fof(f496,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X1,X0))
| relation_like(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(duplicate_literal_removal,[],[f495]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,relation_type(X1,X0))
| ~ ilf_type(X1,set_type)
| relation_like(X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type) ),
inference(resolution,[],[f134,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| relation_like(X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( relation_like(X2)
| ~ ilf_type(X2,subset_type(cross_product(X0,X1))) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> relation_like(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
fof(f134,plain,
! [X3,X0,X1] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X3,relation_type(X0,X1)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ ilf_type(X2,subset_type(cross_product(X0,X1)))
| ilf_type(X2,relation_type(X0,X1)) )
& ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X3,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ! [X1] :
( ( ! [X3] :
( ~ ilf_type(X3,subset_type(cross_product(X0,X1)))
| ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
| ~ ilf_type(X2,relation_type(X0,X1)) ) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,subset_type(cross_product(X0,X1)))
=> ilf_type(X3,relation_type(X0,X1)) )
& ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> ilf_type(X2,subset_type(cross_product(X0,X1))) ) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ( ! [X3] :
( ilf_type(X3,relation_type(X0,X1))
=> ilf_type(X3,subset_type(cross_product(X0,X1))) )
& ! [X2] :
( ilf_type(X2,subset_type(cross_product(X0,X1)))
=> ilf_type(X2,relation_type(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
fof(f677,plain,
( ~ spl16_34
| ~ spl16_45
| ~ spl16_22
| ~ spl16_33
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f672,f196,f528,f331,f674,f532]) ).
fof(f196,plain,
( spl16_2
<=> ! [X4] :
( ~ member(ordered_pair(X4,sK14),sK13)
| ~ ilf_type(X4,member_type(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f672,plain,
( ~ ilf_type(sK13,binary_relation_type)
| ~ ilf_type(sK14,set_type)
| ~ ilf_type(sK3(sK14,sK13),member_type(sK12))
| ~ member(sK14,range_of(sK13))
| ~ spl16_2 ),
inference(resolution,[],[f197,f131]) ).
fof(f197,plain,
( ! [X4] :
( ~ member(ordered_pair(X4,sK14),sK13)
| ~ ilf_type(X4,member_type(sK12)) )
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f661,plain,
spl16_35,
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| spl16_35 ),
inference(resolution,[],[f550,f182]) ).
fof(f182,plain,
ilf_type(sK13,relation_type(sK12,sK11)),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
( ~ empty(sK12)
& ilf_type(sK13,relation_type(sK12,sK11))
& ilf_type(sK14,member_type(sK11))
& ( ~ member(sK14,range(sK12,sK11,sK13))
| ! [X4] :
( ~ ilf_type(X4,member_type(sK12))
| ~ member(ordered_pair(X4,sK14),sK13) ) )
& ( member(sK14,range(sK12,sK11,sK13))
| ( ilf_type(sK15,member_type(sK12))
& member(ordered_pair(sK15,sK14),sK13) ) )
& ilf_type(sK12,set_type)
& ilf_type(sK11,set_type)
& ~ empty(sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13,sK14,sK15])],[f112,f117,f116,f115,f114,f113]) ).
fof(f113,plain,
( ? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ilf_type(X3,member_type(X0))
& ( ~ member(X3,range(X1,X0,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(X1,X0,X2))
| ? [X5] :
( ilf_type(X5,member_type(X1))
& member(ordered_pair(X5,X3),X2) ) ) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) )
=> ( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,sK11))
& ? [X3] :
( ilf_type(X3,member_type(sK11))
& ( ~ member(X3,range(X1,sK11,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(X1,sK11,X2))
| ? [X5] :
( ilf_type(X5,member_type(X1))
& member(ordered_pair(X5,X3),X2) ) ) ) )
& ilf_type(X1,set_type) )
& ilf_type(sK11,set_type)
& ~ empty(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,sK11))
& ? [X3] :
( ilf_type(X3,member_type(sK11))
& ( ~ member(X3,range(X1,sK11,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(X1,sK11,X2))
| ? [X5] :
( ilf_type(X5,member_type(X1))
& member(ordered_pair(X5,X3),X2) ) ) ) )
& ilf_type(X1,set_type) )
=> ( ~ empty(sK12)
& ? [X2] :
( ilf_type(X2,relation_type(sK12,sK11))
& ? [X3] :
( ilf_type(X3,member_type(sK11))
& ( ~ member(X3,range(sK12,sK11,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(sK12))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(sK12,sK11,X2))
| ? [X5] :
( ilf_type(X5,member_type(sK12))
& member(ordered_pair(X5,X3),X2) ) ) ) )
& ilf_type(sK12,set_type) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X2] :
( ilf_type(X2,relation_type(sK12,sK11))
& ? [X3] :
( ilf_type(X3,member_type(sK11))
& ( ~ member(X3,range(sK12,sK11,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(sK12))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(sK12,sK11,X2))
| ? [X5] :
( ilf_type(X5,member_type(sK12))
& member(ordered_pair(X5,X3),X2) ) ) ) )
=> ( ilf_type(sK13,relation_type(sK12,sK11))
& ? [X3] :
( ilf_type(X3,member_type(sK11))
& ( ~ member(X3,range(sK12,sK11,sK13))
| ! [X4] :
( ~ ilf_type(X4,member_type(sK12))
| ~ member(ordered_pair(X4,X3),sK13) ) )
& ( member(X3,range(sK12,sK11,sK13))
| ? [X5] :
( ilf_type(X5,member_type(sK12))
& member(ordered_pair(X5,X3),sK13) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X3] :
( ilf_type(X3,member_type(sK11))
& ( ~ member(X3,range(sK12,sK11,sK13))
| ! [X4] :
( ~ ilf_type(X4,member_type(sK12))
| ~ member(ordered_pair(X4,X3),sK13) ) )
& ( member(X3,range(sK12,sK11,sK13))
| ? [X5] :
( ilf_type(X5,member_type(sK12))
& member(ordered_pair(X5,X3),sK13) ) ) )
=> ( ilf_type(sK14,member_type(sK11))
& ( ~ member(sK14,range(sK12,sK11,sK13))
| ! [X4] :
( ~ ilf_type(X4,member_type(sK12))
| ~ member(ordered_pair(X4,sK14),sK13) ) )
& ( member(sK14,range(sK12,sK11,sK13))
| ? [X5] :
( ilf_type(X5,member_type(sK12))
& member(ordered_pair(X5,sK14),sK13) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
( ? [X5] :
( ilf_type(X5,member_type(sK12))
& member(ordered_pair(X5,sK14),sK13) )
=> ( ilf_type(sK15,member_type(sK12))
& member(ordered_pair(sK15,sK14),sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ilf_type(X3,member_type(X0))
& ( ~ member(X3,range(X1,X0,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(X1,X0,X2))
| ? [X5] :
( ilf_type(X5,member_type(X1))
& member(ordered_pair(X5,X3),X2) ) ) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ilf_type(X3,member_type(X0))
& ( ~ member(X3,range(X1,X0,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(X1,X0,X2))
| ? [X4] :
( ilf_type(X4,member_type(X1))
& member(ordered_pair(X4,X3),X2) ) ) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ilf_type(X3,member_type(X0))
& ( ~ member(X3,range(X1,X0,X2))
| ! [X4] :
( ~ ilf_type(X4,member_type(X1))
| ~ member(ordered_pair(X4,X3),X2) ) )
& ( member(X3,range(X1,X0,X2))
| ? [X4] :
( ilf_type(X4,member_type(X1))
& member(ordered_pair(X4,X3),X2) ) ) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ~ empty(X1)
& ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ilf_type(X3,member_type(X0))
& ( ? [X4] :
( ilf_type(X4,member_type(X1))
& member(ordered_pair(X4,X3),X2) )
<~> member(X3,range(X1,X0,X2)) ) ) )
& ilf_type(X1,set_type) )
& ilf_type(X0,set_type)
& ~ empty(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ilf_type(X2,relation_type(X1,X0))
& ? [X3] :
( ilf_type(X3,member_type(X0))
& ( ? [X4] :
( ilf_type(X4,member_type(X1))
& member(ordered_pair(X4,X3),X2) )
<~> member(X3,range(X1,X0,X2)) ) ) )
& ilf_type(X1,set_type)
& ~ empty(X1) )
& ~ empty(X0)
& ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,negated_conjecture,
~ ! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,range(X1,X0,X2))
<=> ? [X4] :
( ilf_type(X4,member_type(X1))
& member(ordered_pair(X4,X3),X2) ) ) ) ) ) ),
inference(negated_conjecture,[],[f32]) ).
fof(f32,conjecture,
! [X0] :
( ( ~ empty(X0)
& ilf_type(X0,set_type) )
=> ! [X1] :
( ( ilf_type(X1,set_type)
& ~ empty(X1) )
=> ! [X2] :
( ilf_type(X2,relation_type(X1,X0))
=> ! [X3] :
( ilf_type(X3,member_type(X0))
=> ( member(X3,range(X1,X0,X2))
<=> ? [X4] :
( ilf_type(X4,member_type(X1))
& member(ordered_pair(X4,X3),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_48) ).
fof(f550,plain,
( ~ ilf_type(sK13,relation_type(sK12,sK11))
| spl16_35 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f650,plain,
( ~ spl16_28
| ~ spl16_35
| spl16_34
| ~ spl16_26
| ~ spl16_1 ),
inference(avatar_split_clause,[],[f649,f192,f435,f532,f548,f444]) ).
fof(f192,plain,
( spl16_1
<=> member(sK14,range(sK12,sK11,sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f649,plain,
( ~ ilf_type(sK12,set_type)
| member(sK14,range_of(sK13))
| ~ ilf_type(sK13,relation_type(sK12,sK11))
| ~ ilf_type(sK11,set_type)
| ~ spl16_1 ),
inference(superposition,[],[f193,f163]) ).
fof(f163,plain,
! [X2,X0,X1] :
( range_of(X2) = range(X0,X1,X2)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ ilf_type(X0,set_type) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ~ ilf_type(X0,set_type)
| ! [X1] :
( ! [X2] :
( ~ ilf_type(X2,relation_type(X0,X1))
| range_of(X2) = range(X0,X1,X2) )
| ~ ilf_type(X1,set_type) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,relation_type(X0,X1))
=> range_of(X2) = range(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p29) ).
fof(f193,plain,
( member(sK14,range(sK12,sK11,sK13))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f575,plain,
( ~ spl16_33
| spl16_34
| ~ spl16_22
| ~ spl16_21
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f570,f216,f327,f331,f532,f528]) ).
fof(f327,plain,
( spl16_21
<=> ilf_type(sK15,set_type) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f216,plain,
( spl16_7
<=> member(ordered_pair(sK15,sK14),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f570,plain,
( ~ ilf_type(sK15,set_type)
| ~ ilf_type(sK14,set_type)
| member(sK14,range_of(sK13))
| ~ ilf_type(sK13,binary_relation_type)
| ~ spl16_7 ),
inference(resolution,[],[f171,f218]) ).
fof(f218,plain,
( member(ordered_pair(sK15,sK14),sK13)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X0,set_type)
| ~ ilf_type(X2,binary_relation_type)
| ~ ilf_type(X1,set_type)
| member(X1,range_of(X2)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ! [X1] :
( ~ ilf_type(X1,set_type)
| ! [X2] :
( ~ member(ordered_pair(X0,X1),X2)
| ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ ilf_type(X2,binary_relation_type) ) )
| ~ ilf_type(X0,set_type) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) )
| ~ member(ordered_pair(X0,X1),X2)
| ~ ilf_type(X2,binary_relation_type) )
| ~ ilf_type(X1,set_type) )
| ~ ilf_type(X0,set_type) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ilf_type(X0,set_type)
=> ! [X1] :
( ilf_type(X1,set_type)
=> ! [X2] :
( ilf_type(X2,binary_relation_type)
=> ( member(ordered_pair(X0,X1),X2)
=> ( member(X1,range_of(X2))
& member(X0,domain_of(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
fof(f551,plain,
( ~ spl16_35
| ~ spl16_34
| ~ spl16_28
| ~ spl16_26
| spl16_1 ),
inference(avatar_split_clause,[],[f544,f192,f435,f444,f532,f548]) ).
fof(f544,plain,
( ~ ilf_type(sK12,set_type)
| ~ ilf_type(sK11,set_type)
| ~ member(sK14,range_of(sK13))
| ~ ilf_type(sK13,relation_type(sK12,sK11))
| spl16_1 ),
inference(superposition,[],[f194,f163]) ).
fof(f194,plain,
( ~ member(sK14,range(sK12,sK11,sK13))
| spl16_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f541,plain,
spl16_22,
inference(avatar_contradiction_clause,[],[f540]) ).
fof(f540,plain,
( $false
| spl16_22 ),
inference(resolution,[],[f333,f138]) ).
fof(f333,plain,
( ~ ilf_type(sK14,set_type)
| spl16_22 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f479,plain,
~ spl16_9,
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl16_9 ),
inference(resolution,[],[f236,f183]) ).
fof(f183,plain,
~ empty(sK12),
inference(cnf_transformation,[],[f118]) ).
fof(f236,plain,
( empty(sK12)
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f474,plain,
spl16_26,
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| spl16_26 ),
inference(resolution,[],[f437,f177]) ).
fof(f177,plain,
ilf_type(sK12,set_type),
inference(cnf_transformation,[],[f118]) ).
fof(f437,plain,
( ~ ilf_type(sK12,set_type)
| spl16_26 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f469,plain,
spl16_21,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| spl16_21 ),
inference(resolution,[],[f329,f138]) ).
fof(f329,plain,
( ~ ilf_type(sK15,set_type)
| spl16_21 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f455,plain,
spl16_28,
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| spl16_28 ),
inference(resolution,[],[f446,f176]) ).
fof(f176,plain,
ilf_type(sK11,set_type),
inference(cnf_transformation,[],[f118]) ).
fof(f446,plain,
( ~ ilf_type(sK11,set_type)
| spl16_28 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f219,plain,
( spl16_7
| spl16_1 ),
inference(avatar_split_clause,[],[f178,f192,f216]) ).
fof(f178,plain,
( member(sK14,range(sK12,sK11,sK13))
| member(ordered_pair(sK15,sK14),sK13) ),
inference(cnf_transformation,[],[f118]) ).
fof(f198,plain,
( ~ spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f180,f196,f192]) ).
fof(f180,plain,
! [X4] :
( ~ member(ordered_pair(X4,sK14),sK13)
| ~ member(sK14,range(sK12,sK11,sK13))
| ~ ilf_type(X4,member_type(sK12)) ),
inference(cnf_transformation,[],[f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET681+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 14:14:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (31823)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)
% 0.21/0.49 % (31831)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)
% 0.21/0.50 % (31831)Instruction limit reached!
% 0.21/0.50 % (31831)------------------------------
% 0.21/0.50 % (31831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (31831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (31831)Termination reason: Unknown
% 0.21/0.50 % (31831)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (31831)Memory used [KB]: 6012
% 0.21/0.50 % (31831)Time elapsed: 0.005 s
% 0.21/0.50 % (31831)Instructions burned: 4 (million)
% 0.21/0.50 % (31831)------------------------------
% 0.21/0.50 % (31831)------------------------------
% 0.21/0.50 % (31839)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.21/0.52 % (31829)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.21/0.52 % (31817)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.21/0.52 % (31821)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.21/0.53 % (31818)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.21/0.53 % (31830)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.21/0.53 % (31828)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.21/0.53 % (31819)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.21/0.53 % (31844)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.21/0.53 % (31836)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.42/0.54 % (31820)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.42/0.54 % (31822)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.42/0.54 % (31823)Instruction limit reached!
% 1.42/0.54 % (31823)------------------------------
% 1.42/0.54 % (31823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (31823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (31823)Termination reason: Unknown
% 1.42/0.54 % (31823)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (31823)Memory used [KB]: 6396
% 1.42/0.54 % (31823)Time elapsed: 0.137 s
% 1.42/0.54 % (31823)Instructions burned: 39 (million)
% 1.42/0.54 % (31823)------------------------------
% 1.42/0.54 % (31823)------------------------------
% 1.42/0.54 % (31841)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54 % (31836)Instruction limit reached!
% 1.42/0.54 % (31836)------------------------------
% 1.42/0.54 % (31836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (31836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (31836)Termination reason: Unknown
% 1.42/0.54 % (31836)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (31836)Memory used [KB]: 6268
% 1.42/0.54 % (31836)Time elapsed: 0.134 s
% 1.42/0.54 % (31836)Instructions burned: 11 (million)
% 1.42/0.54 % (31836)------------------------------
% 1.42/0.54 % (31836)------------------------------
% 1.42/0.54 % (31837)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.42/0.54 % (31838)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.54 % (31842)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.42/0.54 % (31833)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54 % (31825)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.42/0.54 % (31829)Instruction limit reached!
% 1.42/0.54 % (31829)------------------------------
% 1.42/0.54 % (31829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.54 % (31829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.54 % (31829)Termination reason: Unknown
% 1.42/0.54 % (31829)Termination phase: Saturation
% 1.42/0.54
% 1.42/0.54 % (31829)Memory used [KB]: 1663
% 1.42/0.54 % (31829)Time elapsed: 0.140 s
% 1.42/0.54 % (31829)Instructions burned: 16 (million)
% 1.42/0.54 % (31829)------------------------------
% 1.42/0.54 % (31829)------------------------------
% 1.42/0.55 % (31824)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.42/0.55 % (31845)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.42/0.55 % (31846)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.42/0.55 % (31843)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.42/0.55 % (31845)Instruction limit reached!
% 1.42/0.55 % (31845)------------------------------
% 1.42/0.55 % (31845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (31845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (31845)Termination reason: Unknown
% 1.42/0.55 % (31845)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (31845)Memory used [KB]: 6140
% 1.42/0.55 % (31845)Time elapsed: 0.148 s
% 1.42/0.55 % (31845)Instructions burned: 8 (million)
% 1.42/0.55 % (31845)------------------------------
% 1.42/0.55 % (31845)------------------------------
% 1.42/0.55 % (31827)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.42/0.55 % (31818)Refutation not found, incomplete strategy% (31818)------------------------------
% 1.42/0.55 % (31818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (31818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (31818)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (31818)Memory used [KB]: 6140
% 1.42/0.55 % (31818)Time elapsed: 0.126 s
% 1.42/0.55 % (31818)Instructions burned: 7 (million)
% 1.42/0.55 % (31818)------------------------------
% 1.42/0.55 % (31818)------------------------------
% 1.42/0.55 % (31821)Instruction limit reached!
% 1.42/0.55 % (31821)------------------------------
% 1.42/0.55 % (31821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (31821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (31821)Termination reason: Unknown
% 1.42/0.55 % (31821)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (31821)Memory used [KB]: 6140
% 1.42/0.55 % (31821)Time elapsed: 0.150 s
% 1.42/0.55 % (31821)Instructions burned: 13 (million)
% 1.42/0.55 % (31821)------------------------------
% 1.42/0.55 % (31821)------------------------------
% 1.42/0.55 % (31840)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.42/0.55 % (31826)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.42/0.55 % (31828)Instruction limit reached!
% 1.42/0.55 % (31828)------------------------------
% 1.42/0.55 % (31828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (31828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (31828)Termination reason: Unknown
% 1.42/0.55 % (31828)Termination phase: Saturation
% 1.42/0.55
% 1.42/0.55 % (31828)Memory used [KB]: 6140
% 1.42/0.55 % (31828)Time elapsed: 0.141 s
% 1.42/0.55 % (31828)Instructions burned: 8 (million)
% 1.42/0.55 % (31828)------------------------------
% 1.42/0.55 % (31828)------------------------------
% 1.42/0.55 % (31819)Instruction limit reached!
% 1.42/0.55 % (31819)------------------------------
% 1.42/0.55 % (31819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (31819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (31819)Termination reason: Unknown
% 1.42/0.55 % (31819)Termination phase: Property scanning
% 1.42/0.55
% 1.42/0.55 % (31819)Memory used [KB]: 1535
% 1.42/0.55 % (31819)Time elapsed: 0.003 s
% 1.42/0.55 % (31819)Instructions burned: 4 (million)
% 1.42/0.55 % (31819)------------------------------
% 1.42/0.55 % (31819)------------------------------
% 1.42/0.56 % (31835)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.42/0.56 % (31835)Instruction limit reached!
% 1.42/0.56 % (31835)------------------------------
% 1.42/0.56 % (31835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (31835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (31835)Termination reason: Unknown
% 1.42/0.56 % (31835)Termination phase: Saturation
% 1.42/0.56
% 1.42/0.56 % (31835)Memory used [KB]: 1535
% 1.42/0.56 % (31835)Time elapsed: 0.003 s
% 1.42/0.56 % (31835)Instructions burned: 3 (million)
% 1.42/0.56 % (31835)------------------------------
% 1.42/0.56 % (31835)------------------------------
% 1.42/0.56 % (31834)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.42/0.56 % (31834)Instruction limit reached!
% 1.42/0.56 % (31834)------------------------------
% 1.42/0.56 % (31834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (31834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (31834)Termination reason: Unknown
% 1.42/0.56 % (31834)Termination phase: Preprocessing 3
% 1.42/0.56
% 1.42/0.56 % (31834)Memory used [KB]: 1407
% 1.42/0.56 % (31834)Time elapsed: 0.002 s
% 1.42/0.56 % (31834)Instructions burned: 3 (million)
% 1.42/0.56 % (31834)------------------------------
% 1.42/0.56 % (31834)------------------------------
% 1.42/0.56 % (31832)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.56 % (31820)Refutation not found, incomplete strategy% (31820)------------------------------
% 1.42/0.56 % (31820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (31820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (31820)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.56
% 1.42/0.56 % (31820)Memory used [KB]: 6140
% 1.42/0.56 % (31820)Time elapsed: 0.138 s
% 1.42/0.56 % (31820)Instructions burned: 11 (million)
% 1.42/0.56 % (31820)------------------------------
% 1.42/0.56 % (31820)------------------------------
% 1.42/0.56 % (31832)Instruction limit reached!
% 1.42/0.56 % (31832)------------------------------
% 1.42/0.56 % (31832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (31832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (31832)Termination reason: Unknown
% 1.42/0.56 % (31832)Termination phase: Saturation
% 1.42/0.56
% 1.42/0.56 % (31832)Memory used [KB]: 6140
% 1.42/0.56 % (31832)Time elapsed: 0.157 s
% 1.42/0.56 % (31832)Instructions burned: 7 (million)
% 1.42/0.56 % (31832)------------------------------
% 1.42/0.56 % (31832)------------------------------
% 1.42/0.56 % (31822)Instruction limit reached!
% 1.42/0.56 % (31822)------------------------------
% 1.42/0.56 % (31822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56 % (31822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56 % (31822)Termination reason: Unknown
% 1.42/0.56 % (31822)Termination phase: Saturation
% 1.42/0.56
% 1.42/0.56 % (31822)Memory used [KB]: 1663
% 1.42/0.56 % (31822)Time elapsed: 0.137 s
% 1.42/0.56 % (31822)Instructions burned: 15 (million)
% 1.42/0.56 % (31822)------------------------------
% 1.42/0.56 % (31822)------------------------------
% 1.42/0.57 % (31827)Instruction limit reached!
% 1.42/0.57 % (31827)------------------------------
% 1.42/0.57 % (31827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.57 % (31827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.57 % (31827)Termination reason: Unknown
% 1.42/0.57 % (31827)Termination phase: Saturation
% 1.42/0.57
% 1.42/0.57 % (31827)Memory used [KB]: 6140
% 1.42/0.57 % (31827)Time elapsed: 0.151 s
% 1.42/0.57 % (31827)Instructions burned: 12 (million)
% 1.42/0.57 % (31827)------------------------------
% 1.42/0.57 % (31827)------------------------------
% 1.42/0.57 % (31839)First to succeed.
% 1.42/0.58 % (31839)Refutation found. Thanks to Tanya!
% 1.42/0.58 % SZS status Theorem for theBenchmark
% 1.42/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.58 % (31839)------------------------------
% 1.42/0.58 % (31839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.58 % (31839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.58 % (31839)Termination reason: Refutation
% 1.42/0.58
% 1.42/0.58 % (31839)Memory used [KB]: 7164
% 1.42/0.58 % (31839)Time elapsed: 0.177 s
% 1.42/0.58 % (31839)Instructions burned: 67 (million)
% 1.42/0.58 % (31839)------------------------------
% 1.42/0.58 % (31839)------------------------------
% 1.42/0.58 % (31816)Success in time 0.216 s
%------------------------------------------------------------------------------