TSTP Solution File: COM003+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.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 15:53:32 EDT 2022
% Result : Theorem 1.64s 0.57s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 54
% Syntax : Number of formulae : 291 ( 2 unt; 0 def)
% Number of atoms : 1383 ( 0 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1921 ( 829 ~; 813 |; 196 &)
% ( 35 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 46 ( 45 usr; 38 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-1 aty)
% Number of variables : 313 ( 257 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f501,plain,
$false,
inference(avatar_sat_refutation,[],[f94,f101,f110,f118,f126,f131,f135,f139,f148,f152,f161,f165,f173,f178,f179,f187,f191,f195,f203,f208,f209,f224,f240,f245,f277,f293,f305,f310,f316,f319,f351,f360,f363,f370,f406,f417,f423,f424,f436,f456,f459,f483,f490,f500]) ).
fof(f500,plain,
( ~ spl14_9
| ~ spl14_11
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f498,f492]) ).
fof(f492,plain,
( halts2(sK7,sK7)
| ~ spl14_9
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f491,f130]) ).
fof(f130,plain,
( program(sK7)
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl14_11
<=> program(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f491,plain,
( ~ program(sK7)
| halts2(sK7,sK7)
| ~ spl14_9 ),
inference(factoring,[],[f121]) ).
fof(f121,plain,
( ! [X1] :
( halts2(sK7,X1)
| halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl14_9
<=> ! [X1] :
( halts2(sK7,X1)
| halts2(X1,X1)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f498,plain,
( ~ halts2(sK7,sK7)
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f494,f130]) ).
fof(f494,plain,
( ~ program(sK7)
| ~ halts2(sK7,sK7)
| ~ spl14_9
| ~ spl14_11
| ~ spl14_13 ),
inference(resolution,[],[f138,f492]) ).
fof(f138,plain,
( ! [X1] :
( ~ halts2(sK7,X1)
| ~ program(X1)
| ~ halts2(X1,X1) )
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl14_13
<=> ! [X1] :
( ~ halts2(X1,X1)
| ~ halts2(sK7,X1)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f490,plain,
( ~ spl14_15
| ~ spl14_16
| ~ spl14_25
| ~ spl14_41
| ~ spl14_42 ),
inference(avatar_contradiction_clause,[],[f489]) ).
fof(f489,plain,
( $false
| ~ spl14_15
| ~ spl14_16
| ~ spl14_25
| ~ spl14_41
| ~ spl14_42 ),
inference(subsumption_resolution,[],[f488,f451]) ).
fof(f451,plain,
( program(sK8(sK5))
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl14_42
<=> program(sK8(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
fof(f488,plain,
( ~ program(sK8(sK5))
| ~ spl14_15
| ~ spl14_16
| ~ spl14_25
| ~ spl14_41 ),
inference(resolution,[],[f487,f427]) ).
fof(f427,plain,
( ! [X1] :
( halts2(sK5,X1)
| ~ program(X1) )
| ~ spl14_16
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f151,f190]) ).
fof(f190,plain,
( ! [X1] :
( halts2(sK5,X1)
| ~ program(X1)
| ~ halts2(X1,X1) )
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl14_25
<=> ! [X1] :
( halts2(sK5,X1)
| ~ program(X1)
| ~ halts2(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f151,plain,
( ! [X1] :
( halts2(sK5,X1)
| halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl14_16
<=> ! [X1] :
( ~ program(X1)
| halts2(sK5,X1)
| halts2(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f487,plain,
( ~ halts2(sK5,sK8(sK5))
| ~ spl14_15
| ~ spl14_41 ),
inference(subsumption_resolution,[],[f484,f147]) ).
fof(f147,plain,
( outputs(sK5,good)
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl14_15
<=> outputs(sK5,good) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f484,plain,
( ~ outputs(sK5,good)
| ~ halts2(sK5,sK8(sK5))
| ~ spl14_41 ),
inference(resolution,[],[f448,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ outputs(X1,good)
| ~ halts2(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( ( ~ halts2(X1,X0)
| ~ outputs(X1,good) )
& halts2(X0,X0)
& program(X0) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) )
| ~ sP2(X1,X0) ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f448,plain,
( sP2(sK8(sK5),sK5)
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl14_41
<=> sP2(sK8(sK5),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f483,plain,
( ~ spl14_5
| ~ spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| ~ spl14_22
| ~ spl14_25
| ~ spl14_42 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl14_5
| ~ spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| ~ spl14_22
| ~ spl14_25
| ~ spl14_42 ),
inference(subsumption_resolution,[],[f481,f105]) ).
fof(f105,plain,
( program(sK5)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl14_5
<=> program(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f481,plain,
( ~ program(sK5)
| ~ spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| ~ spl14_22
| ~ spl14_25
| ~ spl14_42 ),
inference(subsumption_resolution,[],[f480,f451]) ).
fof(f480,plain,
( ~ program(sK8(sK5))
| ~ program(sK5)
| ~ spl14_7
| ~ spl14_15
| ~ spl14_16
| ~ spl14_18
| ~ spl14_22
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f479,f147]) ).
fof(f479,plain,
( ~ outputs(sK5,good)
| ~ program(sK5)
| ~ program(sK8(sK5))
| ~ spl14_7
| ~ spl14_16
| ~ spl14_18
| ~ spl14_22
| ~ spl14_25 ),
inference(resolution,[],[f466,f427]) ).
fof(f466,plain,
( ! [X0] :
( ~ halts2(X0,sK8(X0))
| ~ program(X0)
| ~ outputs(X0,good) )
| ~ spl14_7
| ~ spl14_18
| ~ spl14_22 ),
inference(resolution,[],[f464,f72]) ).
fof(f464,plain,
( ! [X0] :
( sP2(sK8(X0),X0)
| ~ program(X0) )
| ~ spl14_7
| ~ spl14_18
| ~ spl14_22 ),
inference(subsumption_resolution,[],[f462,f177]) ).
fof(f177,plain,
( ! [X0] :
( program(sK8(X0))
| ~ program(X0) )
| ~ spl14_22 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl14_22
<=> ! [X0] :
( program(sK8(X0))
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
fof(f462,plain,
( ! [X0] :
( ~ program(sK8(X0))
| ~ program(X0)
| sP2(sK8(X0),X0) )
| ~ spl14_7
| ~ spl14_18 ),
inference(resolution,[],[f113,f160]) ).
fof(f160,plain,
( ! [X0] :
( ~ halts2(sK8(X0),sK8(X0))
| ~ program(X0)
| sP2(sK8(X0),X0) )
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl14_18
<=> ! [X0] :
( sP2(sK8(X0),X0)
| ~ program(X0)
| ~ halts2(sK8(X0),sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f113,plain,
( ! [X1] :
( halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl14_7
<=> ! [X1] :
( halts2(X1,X1)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f459,plain,
( ~ spl14_8
| spl14_41
| ~ spl14_5
| ~ spl14_16
| ~ spl14_25
| ~ spl14_28
| ~ spl14_42 ),
inference(avatar_split_clause,[],[f458,f450,f201,f189,f150,f103,f446,f115]) ).
fof(f115,plain,
( spl14_8
<=> outputs(sK5,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f201,plain,
( spl14_28
<=> ! [X0] :
( sP2(sK8(X0),X0)
| ~ program(X0)
| ~ outputs(X0,bad)
| ~ halts2(X0,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
fof(f458,plain,
( sP2(sK8(sK5),sK5)
| ~ outputs(sK5,bad)
| ~ spl14_5
| ~ spl14_16
| ~ spl14_25
| ~ spl14_28
| ~ spl14_42 ),
inference(subsumption_resolution,[],[f457,f451]) ).
fof(f457,plain,
( sP2(sK8(sK5),sK5)
| ~ outputs(sK5,bad)
| ~ program(sK8(sK5))
| ~ spl14_5
| ~ spl14_16
| ~ spl14_25
| ~ spl14_28 ),
inference(subsumption_resolution,[],[f442,f105]) ).
fof(f442,plain,
( ~ outputs(sK5,bad)
| ~ program(sK5)
| ~ program(sK8(sK5))
| sP2(sK8(sK5),sK5)
| ~ spl14_16
| ~ spl14_25
| ~ spl14_28 ),
inference(resolution,[],[f202,f427]) ).
fof(f202,plain,
( ! [X0] :
( ~ halts2(X0,sK8(X0))
| ~ outputs(X0,bad)
| ~ program(X0)
| sP2(sK8(X0),X0) )
| ~ spl14_28 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f456,plain,
( ~ spl14_5
| ~ spl14_22
| spl14_42 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl14_5
| ~ spl14_22
| spl14_42 ),
inference(subsumption_resolution,[],[f454,f105]) ).
fof(f454,plain,
( ~ program(sK5)
| ~ spl14_22
| spl14_42 ),
inference(resolution,[],[f452,f177]) ).
fof(f452,plain,
( ~ program(sK8(sK5))
| spl14_42 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f436,plain,
( ~ spl14_21
| ~ spl14_26
| spl14_35
| spl14_37 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl14_21
| ~ spl14_26
| spl14_35
| spl14_37 ),
inference(subsumption_resolution,[],[f434,f276]) ).
fof(f276,plain,
( ~ program(sK9(sK13))
| spl14_35 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl14_35
<=> program(sK9(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
fof(f434,plain,
( program(sK9(sK13))
| ~ spl14_21
| ~ spl14_26
| spl14_37 ),
inference(subsumption_resolution,[],[f433,f172]) ).
fof(f172,plain,
( program(sK13)
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl14_21
<=> program(sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f433,plain,
( ~ program(sK13)
| program(sK9(sK13))
| ~ spl14_26
| spl14_37 ),
inference(resolution,[],[f194,f314]) ).
fof(f314,plain,
( ~ outputs(sK13,good)
| spl14_37 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl14_37
<=> outputs(sK13,good) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f194,plain,
( ! [X0] :
( outputs(X0,good)
| ~ program(X0)
| program(sK9(X0)) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl14_26
<=> ! [X0] :
( program(sK9(X0))
| outputs(X0,good)
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
fof(f424,plain,
( ~ spl14_1
| ~ spl14_23
| ~ spl14_38 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| ~ spl14_1
| ~ spl14_23
| ~ spl14_38 ),
inference(resolution,[],[f419,f354]) ).
fof(f354,plain,
( program(sK6(sK13))
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl14_38
<=> program(sK6(sK13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
fof(f419,plain,
( ! [X2] : ~ program(X2)
| ~ spl14_1
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f183,f90]) ).
fof(f90,plain,
( ! [X2,X1] :
( halts2(X2,X1)
| ~ program(X2) )
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl14_1
<=> ! [X2,X1] :
( halts2(X2,X1)
| ~ program(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f183,plain,
( ! [X2,X1] :
( ~ halts2(X2,X1)
| ~ program(X2) )
| ~ spl14_23 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl14_23
<=> ! [X2,X1] :
( ~ program(X2)
| ~ halts2(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
fof(f423,plain,
( ~ spl14_1
| ~ spl14_21
| ~ spl14_23 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f422,plain,
( $false
| ~ spl14_1
| ~ spl14_21
| ~ spl14_23 ),
inference(resolution,[],[f419,f172]) ).
fof(f417,plain,
( ~ spl14_1
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_26
| spl14_35 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl14_1
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_26
| spl14_35 ),
inference(subsumption_resolution,[],[f415,f172]) ).
fof(f415,plain,
( ~ program(sK13)
| ~ spl14_1
| ~ spl14_18
| ~ spl14_22
| ~ spl14_26
| spl14_35 ),
inference(resolution,[],[f414,f276]) ).
fof(f414,plain,
( ! [X0] :
( program(sK9(X0))
| ~ program(X0) )
| ~ spl14_1
| ~ spl14_18
| ~ spl14_22
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f194,f400]) ).
fof(f400,plain,
( ! [X0] :
( ~ outputs(X0,good)
| ~ program(X0) )
| ~ spl14_1
| ~ spl14_18
| ~ spl14_22 ),
inference(subsumption_resolution,[],[f397,f90]) ).
fof(f397,plain,
( ! [X0] :
( ~ halts2(X0,sK8(X0))
| ~ outputs(X0,good)
| ~ program(X0) )
| ~ spl14_1
| ~ spl14_18
| ~ spl14_22 ),
inference(resolution,[],[f380,f72]) ).
fof(f380,plain,
( ! [X1] :
( sP2(sK8(X1),X1)
| ~ program(X1) )
| ~ spl14_1
| ~ spl14_18
| ~ spl14_22 ),
inference(subsumption_resolution,[],[f378,f177]) ).
fof(f378,plain,
( ! [X1] :
( ~ program(X1)
| ~ program(sK8(X1))
| sP2(sK8(X1),X1) )
| ~ spl14_1
| ~ spl14_18 ),
inference(resolution,[],[f90,f160]) ).
fof(f406,plain,
( ~ spl14_1
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl14_1
| ~ spl14_18
| ~ spl14_21
| ~ spl14_22
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f401,f172]) ).
fof(f401,plain,
( ~ program(sK13)
| ~ spl14_1
| ~ spl14_18
| ~ spl14_22
| ~ spl14_37 ),
inference(resolution,[],[f400,f315]) ).
fof(f315,plain,
( outputs(sK13,good)
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f370,plain,
( ~ spl14_23
| ~ spl14_38
| ~ spl14_39 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f369,plain,
( $false
| ~ spl14_23
| ~ spl14_38
| ~ spl14_39 ),
inference(subsumption_resolution,[],[f368,f354]) ).
fof(f368,plain,
( ~ program(sK6(sK13))
| ~ spl14_23
| ~ spl14_39 ),
inference(resolution,[],[f364,f183]) ).
fof(f364,plain,
( halts2(sK6(sK13),sK6(sK13))
| ~ spl14_39 ),
inference(resolution,[],[f359,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| halts2(X0,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( halts2(X0,X0)
& ( ~ halts3(X1,X0,X0)
| ~ outputs(X1,good) )
& program(X0) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ( halts2(X1,X1)
& ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& program(X1) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ( halts2(X1,X1)
& ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& program(X1) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f359,plain,
( sP0(sK6(sK13),sK13)
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl14_39
<=> sP0(sK6(sK13),sK13) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f363,plain,
( ~ spl14_21
| ~ spl14_29
| spl14_38 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl14_21
| ~ spl14_29
| spl14_38 ),
inference(subsumption_resolution,[],[f361,f172]) ).
fof(f361,plain,
( ~ program(sK13)
| ~ spl14_29
| spl14_38 ),
inference(resolution,[],[f355,f207]) ).
fof(f207,plain,
( ! [X0] :
( program(sK6(X0))
| ~ program(X0) )
| ~ spl14_29 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl14_29
<=> ! [X0] :
( program(sK6(X0))
| ~ program(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f355,plain,
( ~ program(sK6(sK13))
| spl14_38 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f360,plain,
( ~ spl14_38
| spl14_39
| ~ spl14_19
| ~ spl14_21
| ~ spl14_34
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f347,f308,f270,f170,f163,f357,f353]) ).
fof(f163,plain,
( spl14_19
<=> ! [X0] :
( ~ halts3(X0,sK6(X0),sK6(X0))
| ~ outputs(X0,bad)
| ~ program(X0)
| sP0(sK6(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
fof(f270,plain,
( spl14_34
<=> outputs(sK13,bad) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f308,plain,
( spl14_36
<=> ! [X2,X3] :
( ~ program(X2)
| halts3(sK13,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f347,plain,
( sP0(sK6(sK13),sK13)
| ~ program(sK6(sK13))
| ~ spl14_19
| ~ spl14_21
| ~ spl14_34
| ~ spl14_36 ),
inference(subsumption_resolution,[],[f346,f172]) ).
fof(f346,plain,
( ~ program(sK6(sK13))
| ~ program(sK13)
| sP0(sK6(sK13),sK13)
| ~ spl14_19
| ~ spl14_34
| ~ spl14_36 ),
inference(subsumption_resolution,[],[f345,f272]) ).
fof(f272,plain,
( outputs(sK13,bad)
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f345,plain,
( ~ program(sK13)
| ~ program(sK6(sK13))
| ~ outputs(sK13,bad)
| sP0(sK6(sK13),sK13)
| ~ spl14_19
| ~ spl14_36 ),
inference(resolution,[],[f164,f309]) ).
fof(f309,plain,
( ! [X2,X3] :
( halts3(sK13,X2,X3)
| ~ program(X2) )
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f164,plain,
( ! [X0] :
( ~ halts3(X0,sK6(X0),sK6(X0))
| ~ program(X0)
| sP0(sK6(X0),X0)
| ~ outputs(X0,bad) )
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f351,plain,
( ~ spl14_19
| ~ spl14_21
| ~ spl14_29
| ~ spl14_34
| ~ spl14_36
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f350]) ).
fof(f350,plain,
( $false
| ~ spl14_19
| ~ spl14_21
| ~ spl14_29
| ~ spl14_34
| ~ spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f349,f172]) ).
fof(f349,plain,
( ~ program(sK13)
| ~ spl14_19
| ~ spl14_21
| ~ spl14_29
| ~ spl14_34
| ~ spl14_36
| ~ spl14_37 ),
inference(resolution,[],[f348,f207]) ).
fof(f348,plain,
( ~ program(sK6(sK13))
| ~ spl14_19
| ~ spl14_21
| ~ spl14_34
| ~ spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f347,f337]) ).
fof(f337,plain,
( ! [X0] : ~ sP0(X0,sK13)
| ~ spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f336,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| program(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f336,plain,
( ! [X0] :
( ~ sP0(X0,sK13)
| ~ program(X0) )
| ~ spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f335,f315]) ).
fof(f335,plain,
( ! [X0] :
( ~ program(X0)
| ~ sP0(X0,sK13)
| ~ outputs(sK13,good) )
| ~ spl14_36 ),
inference(resolution,[],[f309,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ halts3(X1,X0,X0)
| ~ outputs(X1,good)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f319,plain,
( ~ spl14_1
| ~ spl14_23
| ~ spl14_35 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f318,plain,
( $false
| ~ spl14_1
| ~ spl14_23
| ~ spl14_35 ),
inference(subsumption_resolution,[],[f275,f317]) ).
fof(f317,plain,
( ! [X2] : ~ program(X2)
| ~ spl14_1
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f90,f183]) ).
fof(f275,plain,
( program(sK9(sK13))
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f316,plain,
( spl14_37
| ~ spl14_35
| ~ spl14_3
| ~ spl14_21
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f311,f185,f170,f96,f274,f313]) ).
fof(f96,plain,
( spl14_3
<=> ! [X4,X5] :
( decides(sK13,X4,X5)
| ~ program(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f185,plain,
( spl14_24
<=> ! [X0] :
( ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0)
| outputs(X0,good) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
fof(f311,plain,
( ~ program(sK9(sK13))
| outputs(sK13,good)
| ~ spl14_3
| ~ spl14_21
| ~ spl14_24 ),
inference(subsumption_resolution,[],[f282,f172]) ).
fof(f282,plain,
( ~ program(sK9(sK13))
| ~ program(sK13)
| outputs(sK13,good)
| ~ spl14_3
| ~ spl14_24 ),
inference(resolution,[],[f186,f97]) ).
fof(f97,plain,
( ! [X4,X5] :
( decides(sK13,X4,X5)
| ~ program(X4) )
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f186,plain,
( ! [X0] :
( ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X0)
| outputs(X0,good) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f310,plain,
( ~ spl14_35
| spl14_36
| ~ spl14_3
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f306,f170,f96,f308,f274]) ).
fof(f306,plain,
( ! [X2,X3] :
( ~ program(X2)
| ~ program(sK9(sK13))
| halts3(sK13,X2,X3) )
| ~ spl14_3
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f285,f172]) ).
fof(f285,plain,
( ! [X2,X3] :
( ~ program(sK13)
| halts3(sK13,X2,X3)
| ~ program(X2)
| ~ program(sK9(sK13)) )
| ~ spl14_3 ),
inference(resolution,[],[f140,f97]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ decides(X0,sK9(X0),sK10(X0))
| halts3(X0,X2,X1)
| ~ program(X0)
| ~ program(X2) ),
inference(subsumption_resolution,[],[f82,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ decides(X0,sK9(X0),sK10(X0))
| halts2(X2,X1)
| halts3(X0,X2,X1)
| ~ program(X0)
| ~ program(X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ program(X0)
| ! [X1,X2] :
( ( ( halts3(X0,X2,X1)
& outputs(X0,good) )
| ~ halts2(X2,X1)
| ~ program(X2) )
& ( ( outputs(X0,bad)
& halts3(X0,X2,X1) )
| ~ program(X2)
| halts2(X2,X1) ) )
| ( program(sK9(X0))
& ~ decides(X0,sK9(X0),sK10(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f45,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X3] :
( program(X3)
& ? [X4] : ~ decides(X0,X3,X4) )
=> ( program(sK9(X0))
& ? [X4] : ~ decides(X0,sK9(X0),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X4] : ~ decides(X0,sK9(X0),X4)
=> ~ decides(X0,sK9(X0),sK10(X0)) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ~ program(X0)
| ! [X1,X2] :
( ( ( halts3(X0,X2,X1)
& outputs(X0,good) )
| ~ halts2(X2,X1)
| ~ program(X2) )
& ( ( outputs(X0,bad)
& halts3(X0,X2,X1) )
| ~ program(X2)
| halts2(X2,X1) ) )
| ? [X3] :
( program(X3)
& ? [X4] : ~ decides(X0,X3,X4) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ~ program(X0)
| ! [X4,X3] :
( ( ( halts3(X0,X3,X4)
& outputs(X0,good) )
| ~ halts2(X3,X4)
| ~ program(X3) )
& ( ( outputs(X0,bad)
& halts3(X0,X3,X4) )
| ~ program(X3)
| halts2(X3,X4) ) )
| ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) ) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ! [X3,X4] :
( ( ( outputs(X0,bad)
& halts3(X0,X3,X4) )
| ~ program(X3)
| halts2(X3,X4) )
& ( ( halts3(X0,X3,X4)
& outputs(X0,good) )
| ~ program(X3)
| ~ halts2(X3,X4) ) )
| ~ program(X0)
| ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ( program(X0)
& ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) ) )
=> ! [X3,X4] :
( ( ( program(X3)
& ~ halts2(X3,X4) )
=> ( outputs(X0,bad)
& halts3(X0,X3,X4) ) )
& ( ( program(X3)
& halts2(X3,X4) )
=> ( halts3(X0,X3,X4)
& outputs(X0,good) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3] :
( ( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) )
=> ! [X1,X2] :
( ( ( ~ halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X2) ) )
& ( ( halts2(X1,X2)
& program(X1) )
=> ( outputs(X3,good)
& halts3(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
fof(f82,plain,
! [X2,X0,X1] :
( halts3(X0,X2,X1)
| ~ program(X0)
| ~ halts2(X2,X1)
| ~ program(X2)
| ~ decides(X0,sK9(X0),sK10(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f305,plain,
( ~ spl14_12
| ~ spl14_19
| ~ spl14_21
| ~ spl14_23
| ~ spl14_29
| spl14_35 ),
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f304,plain,
( $false
| ~ spl14_12
| ~ spl14_19
| ~ spl14_21
| ~ spl14_23
| ~ spl14_29
| spl14_35 ),
inference(subsumption_resolution,[],[f303,f172]) ).
fof(f303,plain,
( ~ program(sK13)
| ~ spl14_12
| ~ spl14_19
| ~ spl14_23
| ~ spl14_29
| spl14_35 ),
inference(resolution,[],[f302,f276]) ).
fof(f302,plain,
( ! [X1] :
( program(sK9(X1))
| ~ program(X1) )
| ~ spl14_12
| ~ spl14_19
| ~ spl14_23
| ~ spl14_29 ),
inference(subsumption_resolution,[],[f300,f207]) ).
fof(f300,plain,
( ! [X1] :
( ~ program(sK6(X1))
| ~ program(X1)
| program(sK9(X1)) )
| ~ spl14_12
| ~ spl14_19
| ~ spl14_23
| ~ spl14_29 ),
inference(resolution,[],[f297,f183]) ).
fof(f297,plain,
( ! [X0] :
( halts2(sK6(X0),sK6(X0))
| program(sK9(X0))
| ~ program(X0) )
| ~ spl14_12
| ~ spl14_19
| ~ spl14_29 ),
inference(resolution,[],[f294,f62]) ).
fof(f294,plain,
( ! [X0] :
( sP0(sK6(X0),X0)
| program(sK9(X0))
| ~ program(X0) )
| ~ spl14_12
| ~ spl14_19
| ~ spl14_29 ),
inference(subsumption_resolution,[],[f288,f207]) ).
fof(f288,plain,
( ! [X0] :
( ~ program(X0)
| sP0(sK6(X0),X0)
| ~ program(sK6(X0))
| program(sK9(X0)) )
| ~ spl14_12
| ~ spl14_19 ),
inference(subsumption_resolution,[],[f287,f134]) ).
fof(f134,plain,
( ! [X0] :
( outputs(X0,bad)
| ~ program(X0)
| program(sK9(X0)) )
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl14_12
<=> ! [X0] :
( ~ program(X0)
| outputs(X0,bad)
| program(sK9(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f287,plain,
( ! [X0] :
( sP0(sK6(X0),X0)
| ~ outputs(X0,bad)
| program(sK9(X0))
| ~ program(sK6(X0))
| ~ program(X0) )
| ~ spl14_19 ),
inference(duplicate_literal_removal,[],[f286]) ).
fof(f286,plain,
( ! [X0] :
( ~ program(X0)
| sP0(sK6(X0),X0)
| ~ outputs(X0,bad)
| ~ program(X0)
| program(sK9(X0))
| ~ program(sK6(X0)) )
| ~ spl14_19 ),
inference(resolution,[],[f164,f180]) ).
fof(f180,plain,
! [X2,X0,X1] :
( halts3(X0,X2,X1)
| program(sK9(X0))
| ~ program(X2)
| ~ program(X0) ),
inference(subsumption_resolution,[],[f83,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( halts3(X0,X2,X1)
| ~ program(X2)
| halts2(X2,X1)
| ~ program(X0)
| program(sK9(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f83,plain,
! [X2,X0,X1] :
( program(sK9(X0))
| ~ halts2(X2,X1)
| halts3(X0,X2,X1)
| ~ program(X0)
| ~ program(X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f293,plain,
( ~ spl14_12
| ~ spl14_19
| ~ spl14_21
| ~ spl14_26
| ~ spl14_29
| spl14_35 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl14_12
| ~ spl14_19
| ~ spl14_21
| ~ spl14_26
| ~ spl14_29
| spl14_35 ),
inference(subsumption_resolution,[],[f291,f172]) ).
fof(f291,plain,
( ~ program(sK13)
| ~ spl14_12
| ~ spl14_19
| ~ spl14_26
| ~ spl14_29
| spl14_35 ),
inference(resolution,[],[f290,f276]) ).
fof(f290,plain,
( ! [X0] :
( program(sK9(X0))
| ~ program(X0) )
| ~ spl14_12
| ~ spl14_19
| ~ spl14_26
| ~ spl14_29 ),
inference(subsumption_resolution,[],[f289,f207]) ).
fof(f289,plain,
( ! [X0] :
( program(sK9(X0))
| ~ program(X0)
| ~ program(sK6(X0)) )
| ~ spl14_12
| ~ spl14_19
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f288,f280]) ).
fof(f280,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| ~ program(X1)
| program(sK9(X1)) )
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f279,f60]) ).
fof(f279,plain,
( ! [X0,X1] :
( ~ sP0(X0,X1)
| program(sK9(X1))
| ~ program(X0)
| ~ program(X1) )
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f278,f194]) ).
fof(f278,plain,
! [X0,X1] :
( ~ program(X1)
| program(sK9(X1))
| ~ program(X0)
| ~ sP0(X0,X1)
| ~ outputs(X1,good) ),
inference(resolution,[],[f180,f61]) ).
fof(f277,plain,
( spl14_34
| ~ spl14_35
| ~ spl14_2
| ~ spl14_3
| ~ spl14_21 ),
inference(avatar_split_clause,[],[f268,f170,f96,f92,f274,f270]) ).
fof(f92,plain,
( spl14_2
<=> ! [X0] :
( ~ program(X0)
| outputs(X0,bad)
| ~ decides(X0,sK9(X0),sK10(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f268,plain,
( ~ program(sK9(sK13))
| outputs(sK13,bad)
| ~ spl14_2
| ~ spl14_3
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f257,f172]) ).
fof(f257,plain,
( ~ program(sK13)
| ~ program(sK9(sK13))
| outputs(sK13,bad)
| ~ spl14_2
| ~ spl14_3 ),
inference(resolution,[],[f93,f97]) ).
fof(f93,plain,
( ! [X0] :
( ~ decides(X0,sK9(X0),sK10(X0))
| outputs(X0,bad)
| ~ program(X0) )
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f245,plain,
( ~ spl14_4
| ~ spl14_20 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f244,plain,
( $false
| ~ spl14_4
| ~ spl14_20 ),
inference(subsumption_resolution,[],[f243,f54]) ).
fof(f54,plain,
algorithm(sK4),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( algorithm(sK4)
& ! [X1] :
( ! [X2] : decides(sK4,X1,X2)
| ~ program(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f18,f27]) ).
fof(f27,plain,
( ? [X0] :
( algorithm(X0)
& ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) ) )
=> ( algorithm(sK4)
& ! [X1] :
( ! [X2] : decides(sK4,X1,X2)
| ~ program(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0] :
( algorithm(X0)
& ! [X1] :
( ! [X2] : decides(X0,X1,X2)
| ~ program(X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,plain,
? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
~ ~ ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) ),
inference(rectify,[],[f6]) ).
fof(f6,negated_conjecture,
~ ~ ? [X6] :
( ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) )
& algorithm(X6) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
~ ? [X6] :
( ! [X7] :
( program(X7)
=> ! [X8] : decides(X6,X7,X8) )
& algorithm(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f243,plain,
( ~ algorithm(sK4)
| ~ spl14_4
| ~ spl14_20 ),
inference(resolution,[],[f242,f100]) ).
fof(f100,plain,
( ! [X0] :
( program(sK11(X0))
| ~ algorithm(X0) )
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl14_4
<=> ! [X0] :
( program(sK11(X0))
| ~ algorithm(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f242,plain,
( ~ program(sK11(sK4))
| ~ spl14_20 ),
inference(subsumption_resolution,[],[f241,f54]) ).
fof(f241,plain,
( ~ algorithm(sK4)
| ~ program(sK11(sK4))
| ~ spl14_20 ),
inference(resolution,[],[f168,f53]) ).
fof(f53,plain,
! [X2,X1] :
( decides(sK4,X1,X2)
| ~ program(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f168,plain,
( ! [X0] :
( ~ decides(X0,sK11(X0),sK12(X0))
| ~ algorithm(X0) )
| ~ spl14_20 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl14_20
<=> ! [X0] :
( ~ algorithm(X0)
| ~ decides(X0,sK11(X0),sK12(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
fof(f240,plain,
( ~ spl14_5
| ~ spl14_14
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f237,f150,f142,f103]) ).
fof(f142,plain,
( spl14_14
<=> ! [X1] :
( ~ halts2(X1,X1)
| ~ program(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f237,plain,
( ~ program(sK5)
| ~ spl14_14
| ~ spl14_16 ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f236,plain,
( ~ program(sK5)
| ~ program(sK5)
| ~ spl14_14
| ~ spl14_16 ),
inference(resolution,[],[f235,f143]) ).
fof(f143,plain,
( ! [X1] :
( ~ halts2(X1,X1)
| ~ program(X1) )
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f235,plain,
( ! [X0] :
( halts2(sK5,X0)
| ~ program(X0) )
| ~ spl14_14
| ~ spl14_16 ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f232,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(X0)
| halts2(sK5,X0) )
| ~ spl14_14
| ~ spl14_16 ),
inference(resolution,[],[f151,f143]) ).
fof(f224,plain,
( ~ spl14_5
| ~ spl14_16
| ~ spl14_23 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl14_5
| ~ spl14_16
| ~ spl14_23 ),
inference(resolution,[],[f220,f105]) ).
fof(f220,plain,
( ! [X0] : ~ program(X0)
| ~ spl14_5
| ~ spl14_16
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f219,f105]) ).
fof(f219,plain,
( ! [X0] :
( ~ program(X0)
| ~ program(sK5) )
| ~ spl14_16
| ~ spl14_23 ),
inference(resolution,[],[f217,f183]) ).
fof(f217,plain,
( ! [X1] :
( halts2(sK5,X1)
| ~ program(X1) )
| ~ spl14_16
| ~ spl14_23 ),
inference(subsumption_resolution,[],[f151,f183]) ).
fof(f209,plain,
( spl14_4
| spl14_21 ),
inference(avatar_split_clause,[],[f86,f170,f99]) ).
fof(f86,plain,
! [X0] :
( program(sK13)
| program(sK11(X0))
| ~ algorithm(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ! [X0] :
( ( program(sK11(X0))
& ~ decides(X0,sK11(X0),sK12(X0)) )
| ~ algorithm(X0) )
| ( ! [X4] :
( ~ program(X4)
| ! [X5] : decides(sK13,X4,X5) )
& program(sK13) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f17,f51,f50,f49]) ).
fof(f49,plain,
! [X0] :
( ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
=> ( program(sK11(X0))
& ? [X2] : ~ decides(X0,sK11(X0),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
! [X0] :
( ? [X2] : ~ decides(X0,sK11(X0),X2)
=> ~ decides(X0,sK11(X0),sK12(X0)) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
( ? [X3] :
( ! [X4] :
( ~ program(X4)
| ! [X5] : decides(X3,X4,X5) )
& program(X3) )
=> ( ! [X4] :
( ~ program(X4)
| ! [X5] : decides(sK13,X4,X5) )
& program(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ! [X0] :
( ? [X1] :
( program(X1)
& ? [X2] : ~ decides(X0,X1,X2) )
| ~ algorithm(X0) )
| ? [X3] :
( ! [X4] :
( ~ program(X4)
| ! [X5] : decides(X3,X4,X5) )
& program(X3) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
( ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) )
=> ? [X3] :
( ! [X4] :
( program(X4)
=> ! [X5] : decides(X3,X4,X5) )
& program(X3) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ? [X0] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X0,X1,X2) )
& algorithm(X0) )
=> ? [X3] :
( ! [X1] :
( program(X1)
=> ! [X2] : decides(X3,X1,X2) )
& program(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
fof(f208,plain,
( spl14_6
| spl14_29 ),
inference(avatar_split_clause,[],[f204,f206,f107]) ).
fof(f107,plain,
( spl14_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f204,plain,
! [X0] :
( program(sK6(X0))
| ~ program(X0)
| sP1 ),
inference(subsumption_resolution,[],[f65,f60]) ).
fof(f65,plain,
! [X0] :
( ~ program(X0)
| program(sK6(X0))
| sP1
| sP0(sK6(X0),X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ! [X0] :
( ( program(sK6(X0))
& ( ~ outputs(X0,bad)
| ~ halts3(X0,sK6(X0),sK6(X0)) )
& ~ halts2(sK6(X0),sK6(X0)) )
| sP0(sK6(X0),X0)
| ~ program(X0) )
| sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f23,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X1] :
( ( program(X1)
& ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) )
& ~ halts2(X1,X1) )
| sP0(X1,X0) )
=> ( ( program(sK6(X0))
& ( ~ outputs(X0,bad)
| ~ halts3(X0,sK6(X0),sK6(X0)) )
& ~ halts2(sK6(X0),sK6(X0)) )
| sP0(sK6(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
( ! [X0] :
( ? [X1] :
( ( program(X1)
& ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) )
& ~ halts2(X1,X1) )
| sP0(X1,X0) )
| ~ program(X0) )
| sP1 ),
inference(definition_folding,[],[f16,f22,f21]) ).
fof(f22,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ program(X3)
| ~ halts2(X3,X3)
| ( halts2(X2,X3)
& outputs(X2,good) ) )
& ( halts2(X3,X3)
| ( outputs(X2,bad)
& halts2(X2,X3) )
| ~ program(X3) ) ) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f16,plain,
( ! [X0] :
( ? [X1] :
( ( program(X1)
& ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) )
& ~ halts2(X1,X1) )
| ( halts2(X1,X1)
& ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& program(X1) ) )
| ~ program(X0) )
| ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ program(X3)
| ~ halts2(X3,X3)
| ( halts2(X2,X3)
& outputs(X2,good) ) )
& ( halts2(X3,X3)
| ( outputs(X2,bad)
& halts2(X2,X3) )
| ~ program(X3) ) ) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
( ? [X2] :
( ! [X3] :
( ( ( halts2(X2,X3)
& outputs(X2,good) )
| ~ program(X3)
| ~ halts2(X3,X3) )
& ( ( outputs(X2,bad)
& halts2(X2,X3) )
| halts2(X3,X3)
| ~ program(X3) ) )
& program(X2) )
| ! [X0] :
( ? [X1] :
( ( ( ~ outputs(X0,bad)
| ~ halts3(X0,X1,X1) )
& ~ halts2(X1,X1)
& program(X1) )
| ( ( ~ halts3(X0,X1,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) ) )
| ~ program(X0) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
( ? [X0] :
( ! [X1] :
( ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( outputs(X0,bad)
& halts3(X0,X1,X1) ) )
& ( ( halts2(X1,X1)
& program(X1) )
=> ( halts3(X0,X1,X1)
& outputs(X0,good) ) ) )
& program(X0) )
=> ? [X2] :
( ! [X3] :
( ( ( program(X3)
& halts2(X3,X3) )
=> ( halts2(X2,X3)
& outputs(X2,good) ) )
& ( ( ~ halts2(X3,X3)
& program(X3) )
=> ( outputs(X2,bad)
& halts2(X2,X3) ) ) )
& program(X2) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( ? [X3] :
( program(X3)
& ! [X1] :
( ( ( halts2(X1,X1)
& program(X1) )
=> ( outputs(X3,good)
& halts3(X3,X1,X1) ) )
& ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( outputs(X3,bad)
& halts3(X3,X1,X1) ) ) ) )
=> ? [X4] :
( program(X4)
& ! [X1] :
( ( ( halts2(X1,X1)
& program(X1) )
=> ( halts2(X4,X1)
& outputs(X4,good) ) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( halts2(X4,X1)
& outputs(X4,bad) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3) ).
fof(f203,plain,
( spl14_10
| spl14_28 ),
inference(avatar_split_clause,[],[f74,f201,f123]) ).
fof(f123,plain,
( spl14_10
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f74,plain,
! [X0] :
( sP2(sK8(X0),X0)
| ~ halts2(X0,sK8(X0))
| sP3
| ~ outputs(X0,bad)
| ~ program(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ! [X0] :
( ( program(sK8(X0))
& ( ~ outputs(X0,bad)
| ~ halts2(X0,sK8(X0)) )
& ~ halts2(sK8(X0),sK8(X0)) )
| sP2(sK8(X0),X0)
| ~ program(X0) )
| sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f26,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ( program(X1)
& ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1) )
| sP2(X1,X0) )
=> ( ( program(sK8(X0))
& ( ~ outputs(X0,bad)
| ~ halts2(X0,sK8(X0)) )
& ~ halts2(sK8(X0),sK8(X0)) )
| sP2(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
( ! [X0] :
( ? [X1] :
( ( program(X1)
& ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1) )
| sP2(X1,X0) )
| ~ program(X0) )
| sP3 ),
inference(definition_folding,[],[f20,f25,f24]) ).
fof(f25,plain,
( ? [X2] :
( ! [X3] :
( ( ~ halts2(X3,X3)
| ~ halts2(X2,X3)
| ~ program(X3) )
& ( ~ program(X3)
| ( outputs(X2,bad)
& halts2(X2,X3) )
| halts2(X3,X3) ) )
& program(X2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f20,plain,
( ! [X0] :
( ? [X1] :
( ( program(X1)
& ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1) )
| ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& halts2(X1,X1)
& program(X1) ) )
| ~ program(X0) )
| ? [X2] :
( ! [X3] :
( ( ~ halts2(X3,X3)
| ~ halts2(X2,X3)
| ~ program(X3) )
& ( ~ program(X3)
| ( outputs(X2,bad)
& halts2(X2,X3) )
| halts2(X3,X3) ) )
& program(X2) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
( ? [X2] :
( ! [X3] :
( ( ( outputs(X2,bad)
& halts2(X2,X3) )
| ~ program(X3)
| halts2(X3,X3) )
& ( ~ halts2(X2,X3)
| ~ program(X3)
| ~ halts2(X3,X3) ) )
& program(X2) )
| ! [X0] :
( ? [X1] :
( ( ( ~ halts2(X0,X1)
| ~ outputs(X0,good) )
& program(X1)
& halts2(X1,X1) )
| ( ( ~ outputs(X0,bad)
| ~ halts2(X0,X1) )
& ~ halts2(X1,X1)
& program(X1) ) )
| ~ program(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
( ? [X0] :
( ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( outputs(X0,good)
& halts2(X0,X1) ) )
& ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( halts2(X0,X1)
& outputs(X0,bad) ) ) )
& program(X0) )
=> ? [X2] :
( ! [X3] :
( ( ( program(X3)
& ~ halts2(X3,X3) )
=> ( outputs(X2,bad)
& halts2(X2,X3) ) )
& ( ( program(X3)
& halts2(X3,X3) )
=> ~ halts2(X2,X3) ) )
& program(X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
( ? [X4] :
( program(X4)
& ! [X1] :
( ( ( program(X1)
& halts2(X1,X1) )
=> ( outputs(X4,good)
& halts2(X4,X1) ) )
& ( ( ~ halts2(X1,X1)
& program(X1) )
=> ( outputs(X4,bad)
& halts2(X4,X1) ) ) ) )
=> ? [X5] :
( ! [X1] :
( ( ( halts2(X1,X1)
& program(X1) )
=> ~ halts2(X5,X1) )
& ( ( program(X1)
& ~ halts2(X1,X1) )
=> ( outputs(X5,bad)
& halts2(X5,X1) ) ) )
& program(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
fof(f195,plain,
( spl14_23
| spl14_26 ),
inference(avatar_split_clause,[],[f81,f193,f182]) ).
fof(f81,plain,
! [X2,X0,X1] :
( program(sK9(X0))
| ~ halts2(X2,X1)
| ~ program(X0)
| ~ program(X2)
| outputs(X0,good) ),
inference(cnf_transformation,[],[f48]) ).
fof(f191,plain,
( ~ spl14_6
| spl14_25 ),
inference(avatar_split_clause,[],[f58,f189,f107]) ).
fof(f58,plain,
! [X1] :
( halts2(sK5,X1)
| ~ halts2(X1,X1)
| ~ sP1
| ~ program(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( program(sK5)
& ! [X1] :
( ( ~ program(X1)
| ~ halts2(X1,X1)
| ( halts2(sK5,X1)
& outputs(sK5,good) ) )
& ( halts2(X1,X1)
| ( outputs(sK5,bad)
& halts2(sK5,X1) )
| ~ program(X1) ) ) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f30,f31]) ).
fof(f31,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ~ program(X1)
| ~ halts2(X1,X1)
| ( halts2(X0,X1)
& outputs(X0,good) ) )
& ( halts2(X1,X1)
| ( outputs(X0,bad)
& halts2(X0,X1) )
| ~ program(X1) ) ) )
=> ( program(sK5)
& ! [X1] :
( ( ~ program(X1)
| ~ halts2(X1,X1)
| ( halts2(sK5,X1)
& outputs(sK5,good) ) )
& ( halts2(X1,X1)
| ( outputs(sK5,bad)
& halts2(sK5,X1) )
| ~ program(X1) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
( ? [X0] :
( program(X0)
& ! [X1] :
( ( ~ program(X1)
| ~ halts2(X1,X1)
| ( halts2(X0,X1)
& outputs(X0,good) ) )
& ( halts2(X1,X1)
| ( outputs(X0,bad)
& halts2(X0,X1) )
| ~ program(X1) ) ) )
| ~ sP1 ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
( ? [X2] :
( program(X2)
& ! [X3] :
( ( ~ program(X3)
| ~ halts2(X3,X3)
| ( halts2(X2,X3)
& outputs(X2,good) ) )
& ( halts2(X3,X3)
| ( outputs(X2,bad)
& halts2(X2,X3) )
| ~ program(X3) ) ) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f187,plain,
( spl14_23
| spl14_24 ),
inference(avatar_split_clause,[],[f80,f185,f182]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ decides(X0,sK9(X0),sK10(X0))
| ~ program(X2)
| ~ halts2(X2,X1)
| outputs(X0,good)
| ~ program(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f179,plain,
( spl14_20
| spl14_3 ),
inference(avatar_split_clause,[],[f85,f96,f167]) ).
fof(f85,plain,
! [X0,X4,X5] :
( ~ program(X4)
| decides(sK13,X4,X5)
| ~ algorithm(X0)
| ~ decides(X0,sK11(X0),sK12(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f178,plain,
( spl14_22
| spl14_10 ),
inference(avatar_split_clause,[],[f174,f123,f176]) ).
fof(f174,plain,
! [X0] :
( sP3
| program(sK8(X0))
| ~ program(X0) ),
inference(subsumption_resolution,[],[f75,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| program(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
! [X0] :
( sP3
| ~ program(X0)
| sP2(sK8(X0),X0)
| program(sK8(X0)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f173,plain,
( spl14_20
| spl14_21 ),
inference(avatar_split_clause,[],[f84,f170,f167]) ).
fof(f84,plain,
! [X0] :
( program(sK13)
| ~ algorithm(X0)
| ~ decides(X0,sK11(X0),sK12(X0)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f165,plain,
( spl14_6
| spl14_19 ),
inference(avatar_split_clause,[],[f64,f163,f107]) ).
fof(f64,plain,
! [X0] :
( ~ halts3(X0,sK6(X0),sK6(X0))
| sP0(sK6(X0),X0)
| ~ program(X0)
| sP1
| ~ outputs(X0,bad) ),
inference(cnf_transformation,[],[f36]) ).
fof(f161,plain,
( spl14_10
| spl14_18 ),
inference(avatar_split_clause,[],[f73,f159,f123]) ).
fof(f73,plain,
! [X0] :
( sP2(sK8(X0),X0)
| sP3
| ~ halts2(sK8(X0),sK8(X0))
| ~ program(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f152,plain,
( ~ spl14_6
| spl14_16 ),
inference(avatar_split_clause,[],[f55,f150,f107]) ).
fof(f55,plain,
! [X1] :
( ~ program(X1)
| ~ sP1
| halts2(X1,X1)
| halts2(sK5,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f148,plain,
( spl14_14
| ~ spl14_6
| spl14_15 ),
inference(avatar_split_clause,[],[f57,f145,f107,f142]) ).
fof(f57,plain,
! [X1] :
( outputs(sK5,good)
| ~ sP1
| ~ halts2(X1,X1)
| ~ program(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f139,plain,
( ~ spl14_10
| spl14_13 ),
inference(avatar_split_clause,[],[f69,f137,f123]) ).
fof(f69,plain,
! [X1] :
( ~ halts2(X1,X1)
| ~ program(X1)
| ~ halts2(sK7,X1)
| ~ sP3 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( ! [X1] :
( ( ~ halts2(X1,X1)
| ~ halts2(sK7,X1)
| ~ program(X1) )
& ( ~ program(X1)
| ( outputs(sK7,bad)
& halts2(sK7,X1) )
| halts2(X1,X1) ) )
& program(sK7) )
| ~ sP3 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f38,f39]) ).
fof(f39,plain,
( ? [X0] :
( ! [X1] :
( ( ~ halts2(X1,X1)
| ~ halts2(X0,X1)
| ~ program(X1) )
& ( ~ program(X1)
| ( outputs(X0,bad)
& halts2(X0,X1) )
| halts2(X1,X1) ) )
& program(X0) )
=> ( ! [X1] :
( ( ~ halts2(X1,X1)
| ~ halts2(sK7,X1)
| ~ program(X1) )
& ( ~ program(X1)
| ( outputs(sK7,bad)
& halts2(sK7,X1) )
| halts2(X1,X1) ) )
& program(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
( ? [X0] :
( ! [X1] :
( ( ~ halts2(X1,X1)
| ~ halts2(X0,X1)
| ~ program(X1) )
& ( ~ program(X1)
| ( outputs(X0,bad)
& halts2(X0,X1) )
| halts2(X1,X1) ) )
& program(X0) )
| ~ sP3 ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
( ? [X2] :
( ! [X3] :
( ( ~ halts2(X3,X3)
| ~ halts2(X2,X3)
| ~ program(X3) )
& ( ~ program(X3)
| ( outputs(X2,bad)
& halts2(X2,X3) )
| halts2(X3,X3) ) )
& program(X2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f25]) ).
fof(f135,plain,
( spl14_1
| spl14_12 ),
inference(avatar_split_clause,[],[f79,f133,f89]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ program(X0)
| program(sK9(X0))
| outputs(X0,bad)
| ~ program(X2)
| halts2(X2,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f131,plain,
( spl14_11
| ~ spl14_10 ),
inference(avatar_split_clause,[],[f66,f123,f128]) ).
fof(f66,plain,
( ~ sP3
| program(sK7) ),
inference(cnf_transformation,[],[f40]) ).
fof(f126,plain,
( spl14_9
| ~ spl14_10 ),
inference(avatar_split_clause,[],[f67,f123,f120]) ).
fof(f67,plain,
! [X1] :
( ~ sP3
| halts2(sK7,X1)
| ~ program(X1)
| halts2(X1,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f118,plain,
( ~ spl14_6
| spl14_7
| spl14_8 ),
inference(avatar_split_clause,[],[f56,f115,f112,f107]) ).
fof(f56,plain,
! [X1] :
( outputs(sK5,bad)
| halts2(X1,X1)
| ~ program(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f32]) ).
fof(f110,plain,
( spl14_5
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f59,f107,f103]) ).
fof(f59,plain,
( ~ sP1
| program(sK5) ),
inference(cnf_transformation,[],[f32]) ).
fof(f101,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f87,f99,f96]) ).
fof(f87,plain,
! [X0,X4,X5] :
( program(sK11(X0))
| decides(sK13,X4,X5)
| ~ algorithm(X0)
| ~ program(X4) ),
inference(cnf_transformation,[],[f52]) ).
fof(f94,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f78,f92,f89]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ program(X0)
| halts2(X2,X1)
| ~ program(X2)
| ~ decides(X0,sK9(X0),sK10(X0))
| outputs(X0,bad) ),
inference(cnf_transformation,[],[f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM003+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 17:00:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (14825)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (14825)Instruction limit reached!
% 0.19/0.51 % (14825)------------------------------
% 0.19/0.51 % (14825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (14818)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (14821)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (14837)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (14825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14825)Termination reason: Unknown
% 0.19/0.52 % (14825)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (14825)Memory used [KB]: 5628
% 0.19/0.52 % (14825)Time elapsed: 0.116 s
% 0.19/0.52 % (14825)Instructions burned: 8 (million)
% 0.19/0.52 % (14825)------------------------------
% 0.19/0.52 % (14825)------------------------------
% 0.19/0.52 % (14844)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (14830)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (14826)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (14826)Instruction limit reached!
% 0.19/0.52 % (14826)------------------------------
% 0.19/0.52 % (14826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14826)Termination reason: Unknown
% 0.19/0.52 % (14826)Termination phase: Naming
% 0.19/0.52
% 0.19/0.52 % (14826)Memory used [KB]: 895
% 0.19/0.52 % (14826)Time elapsed: 0.002 s
% 0.19/0.52 % (14826)Instructions burned: 2 (million)
% 0.19/0.52 % (14826)------------------------------
% 0.19/0.52 % (14826)------------------------------
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (14842)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (14822)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (14824)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (14823)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (14832)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (14840)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (14845)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.53 % (14847)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (14835)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (14819)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (14836)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (14819)Refutation not found, incomplete strategy% (14819)------------------------------
% 0.19/0.53 % (14819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (14819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (14819)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (14819)Memory used [KB]: 5500
% 0.19/0.53 % (14819)Time elapsed: 0.135 s
% 0.19/0.53 % (14819)Instructions burned: 2 (million)
% 0.19/0.53 % (14819)------------------------------
% 0.19/0.53 % (14819)------------------------------
% 0.19/0.53 % (14820)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (14833)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.54 % (14834)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (14827)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (14846)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (14828)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (14829)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (14841)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (14830)First to succeed.
% 1.54/0.54 % (14831)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.54 % (14838)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.54/0.54 TRYING [5]
% 1.54/0.54 % (14843)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.54/0.55 TRYING [3]
% 1.54/0.55 % (14839)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.54/0.55 TRYING [4]
% 1.54/0.55 TRYING [1]
% 1.54/0.55 TRYING [2]
% 1.54/0.55 TRYING [5]
% 1.54/0.55 TRYING [3]
% 1.54/0.56 TRYING [4]
% 1.64/0.56 TRYING [6]
% 1.64/0.57 % (14830)Refutation found. Thanks to Tanya!
% 1.64/0.57 % SZS status Theorem for theBenchmark
% 1.64/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.57 % (14830)------------------------------
% 1.64/0.57 % (14830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.57 % (14830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.57 % (14830)Termination reason: Refutation
% 1.64/0.57
% 1.64/0.57 % (14830)Memory used [KB]: 5756
% 1.64/0.57 % (14830)Time elapsed: 0.140 s
% 1.64/0.57 % (14830)Instructions burned: 12 (million)
% 1.64/0.57 % (14830)------------------------------
% 1.64/0.57 % (14830)------------------------------
% 1.64/0.57 % (14817)Success in time 0.215 s
%------------------------------------------------------------------------------