TSTP Solution File: PRO011+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PRO011+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : 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 18:10:29 EDT 2022
% Result : Theorem 1.32s 0.71s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 93 ( 10 unt; 0 def)
% Number of atoms : 383 ( 10 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 395 ( 105 ~; 109 |; 148 &)
% ( 10 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 6 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 196 ( 139 !; 57 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f965,plain,
$false,
inference(avatar_sat_refutation,[],[f422,f781,f785,f857,f949,f964]) ).
fof(f964,plain,
~ spl21_30,
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f961,plain,
( $false
| ~ spl21_30 ),
inference(resolution,[],[f960,f305]) ).
fof(f305,plain,
~ arboreal(sK17),
inference(subsumption_resolution,[],[f303,f212]) ).
fof(f212,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f38]) ).
fof(f38,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(f303,plain,
( ~ arboreal(sK17)
| atomic(tptp0) ),
inference(resolution,[],[f239,f280]) ).
fof(f280,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ! [X1,X2] :
( ( occurrence_of(sK18(X1),tptp1)
& min_precedes(X1,sK18(X1),tptp0)
& subactivity_occurrence(sK18(X1),sK17)
& occurrence_of(X2,tptp2) )
| sP0(X1,sK17,X2)
| ~ leaf_occ(X2,sK17) )
& occurrence_of(sK17,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f195,f197,f196]) ).
fof(f196,plain,
( ? [X0] :
( ! [X1,X2] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X2,tptp2) )
| sP0(X1,X0,X2)
| ~ leaf_occ(X2,X0) )
& occurrence_of(X0,tptp0) )
=> ( ! [X2,X1] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,sK17) )
& occurrence_of(X2,tptp2) )
| sP0(X1,sK17,X2)
| ~ leaf_occ(X2,sK17) )
& occurrence_of(sK17,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f197,plain,
! [X1] :
( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,sK17) )
=> ( occurrence_of(sK18(X1),tptp1)
& min_precedes(X1,sK18(X1),tptp0)
& subactivity_occurrence(sK18(X1),sK17) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
? [X0] :
( ! [X1,X2] :
( ( ? [X3] :
( occurrence_of(X3,tptp1)
& min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X2,tptp2) )
| sP0(X1,X0,X2)
| ~ leaf_occ(X2,X0) )
& occurrence_of(X0,tptp0) ),
inference(rectify,[],[f138]) ).
fof(f138,plain,
? [X0] :
( ! [X2,X1] :
( ( ? [X4] :
( occurrence_of(X4,tptp1)
& min_precedes(X2,X4,tptp0)
& subactivity_occurrence(X4,X0) )
& occurrence_of(X1,tptp2) )
| sP0(X2,X0,X1)
| ~ leaf_occ(X1,X0) )
& occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f125,f137]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ( ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X1,tptp1) )
| ~ sP0(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f125,plain,
? [X0] :
( ! [X2,X1] :
( ( ? [X4] :
( occurrence_of(X4,tptp1)
& min_precedes(X2,X4,tptp0)
& subactivity_occurrence(X4,X0) )
& occurrence_of(X1,tptp2) )
| ( ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X1,tptp1) )
| ~ leaf_occ(X1,X0) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( leaf_occ(X1,X0)
& ( occurrence_of(X1,tptp1)
=> ~ ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,X0) ) )
& ( occurrence_of(X1,tptp2)
=> ~ ? [X4] :
( occurrence_of(X4,tptp1)
& min_precedes(X2,X4,tptp0)
& subactivity_occurrence(X4,X0) ) ) ) ),
inference(rectify,[],[f50]) ).
fof(f50,negated_conjecture,
~ ! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X111,X110] :
( leaf_occ(X111,X109)
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( occurrence_of(X112,tptp2)
& min_precedes(X110,X112,tptp0)
& subactivity_occurrence(X112,X109) ) )
& ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( occurrence_of(X113,tptp1)
& subactivity_occurrence(X113,X109)
& min_precedes(X110,X113,tptp0) ) ) ) ),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
! [X109] :
( occurrence_of(X109,tptp0)
=> ? [X111,X110] :
( leaf_occ(X111,X109)
& ( occurrence_of(X111,tptp1)
=> ~ ? [X112] :
( occurrence_of(X112,tptp2)
& min_precedes(X110,X112,tptp0)
& subactivity_occurrence(X112,X109) ) )
& ( occurrence_of(X111,tptp2)
=> ~ ? [X113] :
( occurrence_of(X113,tptp1)
& subactivity_occurrence(X113,X109)
& min_precedes(X110,X113,tptp0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f239,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| atomic(X1)
| ~ arboreal(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ( arboreal(X0)
<=> atomic(X1) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( atomic(X17)
<=> arboreal(X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f960,plain,
( ! [X8] : arboreal(X8)
| ~ spl21_30 ),
inference(resolution,[],[f856,f659]) ).
fof(f659,plain,
! [X3,X4,X5] :
( ~ min_precedes(X3,X4,X5)
| arboreal(X3) ),
inference(resolution,[],[f233,f350]) ).
fof(f350,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| arboreal(X0) ),
inference(subsumption_resolution,[],[f346,f250]) ).
fof(f250,plain,
! [X0,X1] :
( atomic(sK10(X0,X1))
| ~ atocc(X1,X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ( occurrence_of(X1,sK10(X0,X1))
& subactivity(X0,sK10(X0,X1))
& atomic(sK10(X0,X1)) )
| ~ atocc(X1,X0) )
& ( atocc(X1,X0)
| ! [X3] :
( ~ occurrence_of(X1,X3)
| ~ subactivity(X0,X3)
| ~ atomic(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X2] :
( occurrence_of(X1,X2)
& subactivity(X0,X2)
& atomic(X2) )
=> ( occurrence_of(X1,sK10(X0,X1))
& subactivity(X0,sK10(X0,X1))
& atomic(sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0,X1] :
( ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity(X0,X2)
& atomic(X2) )
| ~ atocc(X1,X0) )
& ( atocc(X1,X0)
| ! [X3] :
( ~ occurrence_of(X1,X3)
| ~ subactivity(X0,X3)
| ~ atomic(X3) ) ) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X1,X0] :
( ( ? [X2] :
( occurrence_of(X0,X2)
& subactivity(X1,X2)
& atomic(X2) )
| ~ atocc(X0,X1) )
& ( atocc(X0,X1)
| ! [X2] :
( ~ occurrence_of(X0,X2)
| ~ subactivity(X1,X2)
| ~ atomic(X2) ) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ? [X2] :
( occurrence_of(X0,X2)
& subactivity(X1,X2)
& atomic(X2) )
<=> atocc(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X64,X65] :
( ? [X66] :
( atomic(X66)
& occurrence_of(X64,X66)
& subactivity(X65,X66) )
<=> atocc(X64,X65) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
fof(f346,plain,
! [X0,X1] :
( ~ atocc(X0,X1)
| ~ atomic(sK10(X1,X0))
| arboreal(X0) ),
inference(resolution,[],[f252,f240]) ).
fof(f240,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| arboreal(X0)
| ~ atomic(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f252,plain,
! [X0,X1] :
( occurrence_of(X1,sK10(X0,X1))
| ~ atocc(X1,X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f233,plain,
! [X2,X0,X1] :
( atocc(X0,sK7(X0,X1,X2))
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( atocc(X0,sK7(X0,X1,X2))
& atocc(X1,sK6(X0,X1,X2))
& subactivity(sK6(X0,X1,X2),X2)
& subactivity(sK7(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f161,f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( atocc(X0,X4)
& atocc(X1,X3)
& subactivity(X3,X2)
& subactivity(X4,X2) )
=> ( atocc(X0,sK7(X0,X1,X2))
& atocc(X1,sK6(X0,X1,X2))
& subactivity(sK6(X0,X1,X2),X2)
& subactivity(sK7(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( atocc(X0,X4)
& atocc(X1,X3)
& subactivity(X3,X2)
& subactivity(X4,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1,X0,X2] :
( ? [X4,X3] :
( atocc(X1,X3)
& atocc(X0,X4)
& subactivity(X4,X2)
& subactivity(X3,X2) )
| ~ min_precedes(X1,X0,X2) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1,X0,X2] :
( min_precedes(X1,X0,X2)
=> ? [X4,X3] :
( atocc(X1,X3)
& atocc(X0,X4)
& subactivity(X4,X2)
& subactivity(X3,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X25,X24,X23] :
( min_precedes(X24,X25,X23)
=> ? [X26,X27] :
( atocc(X25,X27)
& atocc(X24,X26)
& subactivity(X26,X23)
& subactivity(X27,X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(f856,plain,
( ! [X6] : min_precedes(X6,sK18(X6),tptp0)
| ~ spl21_30 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f855,plain,
( spl21_30
<=> ! [X6] : min_precedes(X6,sK18(X6),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_30])]) ).
fof(f949,plain,
~ spl21_27,
inference(avatar_contradiction_clause,[],[f946]) ).
fof(f946,plain,
( $false
| ~ spl21_27 ),
inference(resolution,[],[f945,f305]) ).
fof(f945,plain,
( ! [X8] : arboreal(X8)
| ~ spl21_27 ),
inference(resolution,[],[f784,f659]) ).
fof(f784,plain,
( ! [X0] : min_precedes(X0,sK16(X0,sK17),tptp0)
| ~ spl21_27 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f783,plain,
( spl21_27
<=> ! [X0] : min_precedes(X0,sK16(X0,sK17),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
fof(f857,plain,
( spl21_30
| spl21_18 ),
inference(avatar_split_clause,[],[f853,f713,f855]) ).
fof(f713,plain,
( spl21_18
<=> ! [X6] :
( ~ leaf_occ(X6,sK17)
| occurrence_of(X6,tptp1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f853,plain,
! [X6,X7] :
( occurrence_of(X7,tptp1)
| min_precedes(X6,sK18(X6),tptp0)
| ~ leaf_occ(X7,sK17) ),
inference(resolution,[],[f283,f276]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| occurrence_of(X2,tptp1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1,X2] :
( ( occurrence_of(sK16(X0,X1),tptp2)
& min_precedes(X0,sK16(X0,X1),tptp0)
& subactivity_occurrence(sK16(X0,X1),X1)
& occurrence_of(X2,tptp1) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f192,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X0,X3,tptp0)
& subactivity_occurrence(X3,X1) )
=> ( occurrence_of(sK16(X0,X1),tptp2)
& min_precedes(X0,sK16(X0,X1),tptp0)
& subactivity_occurrence(sK16(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X0,X3,tptp0)
& subactivity_occurrence(X3,X1) )
& occurrence_of(X2,tptp1) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ( ? [X3] :
( occurrence_of(X3,tptp2)
& min_precedes(X2,X3,tptp0)
& subactivity_occurrence(X3,X0) )
& occurrence_of(X1,tptp1) )
| ~ sP0(X2,X0,X1) ),
inference(nnf_transformation,[],[f137]) ).
fof(f283,plain,
! [X2,X1] :
( min_precedes(X1,sK18(X1),tptp0)
| sP0(X1,sK17,X2)
| ~ leaf_occ(X2,sK17) ),
inference(cnf_transformation,[],[f198]) ).
fof(f785,plain,
( spl21_27
| spl21_12 ),
inference(avatar_split_clause,[],[f665,f466,f783]) ).
fof(f466,plain,
( spl21_12
<=> ! [X0] :
( occurrence_of(X0,tptp2)
| ~ leaf_occ(X0,sK17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f665,plain,
! [X0,X1] :
( ~ leaf_occ(X1,sK17)
| min_precedes(X0,sK16(X0,sK17),tptp0)
| occurrence_of(X1,tptp2) ),
inference(resolution,[],[f278,f281]) ).
fof(f281,plain,
! [X2,X1] :
( sP0(X1,sK17,X2)
| ~ leaf_occ(X2,sK17)
| occurrence_of(X2,tptp2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f278,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| min_precedes(X0,sK16(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f781,plain,
( ~ spl21_5
| ~ spl21_12
| ~ spl21_18 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| ~ spl21_5
| ~ spl21_12
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f773,f254]) ).
fof(f254,plain,
tptp1 != tptp2,
inference(cnf_transformation,[],[f48]) ).
fof(f48,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(f773,plain,
( tptp1 = tptp2
| ~ spl21_5
| ~ spl21_12
| ~ spl21_18 ),
inference(resolution,[],[f771,f491]) ).
fof(f491,plain,
( ! [X0] :
( ~ occurrence_of(sK12(sK17),X0)
| tptp2 = X0 )
| ~ spl21_5
| ~ spl21_12 ),
inference(resolution,[],[f488,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ occurrence_of(X2,X1)
| ~ occurrence_of(X2,X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X2,X1,X0] :
( X0 = X1
| ~ occurrence_of(X2,X0)
| ~ occurrence_of(X2,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X2,X1,X0] :
( ( occurrence_of(X2,X0)
& occurrence_of(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6,X4] :
( ( occurrence_of(X4,X5)
& occurrence_of(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f488,plain,
( occurrence_of(sK12(sK17),tptp2)
| ~ spl21_5
| ~ spl21_12 ),
inference(resolution,[],[f467,f417]) ).
fof(f417,plain,
( leaf_occ(sK12(sK17),sK17)
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl21_5
<=> leaf_occ(sK12(sK17),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f467,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp2) )
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f466]) ).
fof(f771,plain,
( occurrence_of(sK12(sK17),tptp1)
| ~ spl21_5
| ~ spl21_18 ),
inference(resolution,[],[f714,f417]) ).
fof(f714,plain,
( ! [X6] :
( ~ leaf_occ(X6,sK17)
| occurrence_of(X6,tptp1) )
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f422,plain,
spl21_5,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f421,plain,
( $false
| spl21_5 ),
inference(subsumption_resolution,[],[f420,f280]) ).
fof(f420,plain,
( ~ occurrence_of(sK17,tptp0)
| spl21_5 ),
inference(resolution,[],[f418,f261]) ).
fof(f261,plain,
! [X0] :
( leaf_occ(sK12(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ( next_subocc(sK13(X0),sK12(X0),tptp0)
& occurrence_of(sK11(X0),tptp3)
& root_occ(sK11(X0),X0)
& next_subocc(sK11(X0),sK13(X0),tptp0)
& occurrence_of(sK13(X0),tptp4)
& leaf_occ(sK12(X0),X0)
& ( occurrence_of(sK12(X0),tptp2)
| occurrence_of(sK12(X0),tptp1) ) )
| ~ occurrence_of(X0,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f180,f181]) ).
fof(f181,plain,
! [X0] :
( ? [X1,X2,X3] :
( next_subocc(X3,X2,tptp0)
& occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& next_subocc(X1,X3,tptp0)
& occurrence_of(X3,tptp4)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) ) )
=> ( next_subocc(sK13(X0),sK12(X0),tptp0)
& occurrence_of(sK11(X0),tptp3)
& root_occ(sK11(X0),X0)
& next_subocc(sK11(X0),sK13(X0),tptp0)
& occurrence_of(sK13(X0),tptp4)
& leaf_occ(sK12(X0),X0)
& ( occurrence_of(sK12(X0),tptp2)
| occurrence_of(sK12(X0),tptp1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ? [X1,X2,X3] :
( next_subocc(X3,X2,tptp0)
& occurrence_of(X1,tptp3)
& root_occ(X1,X0)
& next_subocc(X1,X3,tptp0)
& occurrence_of(X3,tptp4)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) ) )
| ~ occurrence_of(X0,tptp0) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ? [X3,X1,X2] :
( next_subocc(X2,X1,tptp0)
& occurrence_of(X3,tptp3)
& root_occ(X3,X0)
& next_subocc(X3,X2,tptp0)
& occurrence_of(X2,tptp4)
& leaf_occ(X1,X0)
& ( occurrence_of(X1,tptp2)
| occurrence_of(X1,tptp1) ) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X3,X1,X2] :
( next_subocc(X2,X1,tptp0)
& occurrence_of(X3,tptp3)
& root_occ(X3,X0)
& next_subocc(X3,X2,tptp0)
& occurrence_of(X2,tptp4)
& leaf_occ(X1,X0)
& ( occurrence_of(X1,tptp2)
| occurrence_of(X1,tptp1) ) ) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X108,X107,X106] :
( next_subocc(X106,X107,tptp0)
& occurrence_of(X106,tptp3)
& next_subocc(X107,X108,tptp0)
& leaf_occ(X108,X105)
& root_occ(X106,X105)
& occurrence_of(X107,tptp4)
& ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(f418,plain,
( ~ leaf_occ(sK12(sK17),sK17)
| spl21_5 ),
inference(avatar_component_clause,[],[f416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : PRO011+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --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 10:27:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 ipcrm: permission denied for id (759693312)
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% 0.21/0.48 ipcrm: permission denied for id (762413161)
% 0.21/0.49 ipcrm: permission denied for id (762577008)
% 0.21/0.49 ipcrm: permission denied for id (762675316)
% 0.21/0.50 ipcrm: permission denied for id (762773623)
% 0.21/0.50 ipcrm: permission denied for id (762806392)
% 0.21/0.50 ipcrm: permission denied for id (762937469)
% 1.02/0.63 % (14555)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.02/0.63 % (14555)Refutation not found, incomplete strategy% (14555)------------------------------
% 1.02/0.63 % (14555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.02/0.63 % (14555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.02/0.63 % (14555)Termination reason: Refutation not found, incomplete strategy
% 1.02/0.63
% 1.02/0.63 % (14555)Memory used [KB]: 5756
% 1.02/0.63 % (14555)Time elapsed: 0.060 s
% 1.02/0.63 % (14555)Instructions burned: 6 (million)
% 1.02/0.63 % (14555)------------------------------
% 1.02/0.63 % (14555)------------------------------
% 1.02/0.65 % (14559)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 (2998ds/48Mi)
% 1.32/0.66 % (14567)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.32/0.66 % (14583)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 (2998ds/355Mi)
% 1.32/0.67 % (14575)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.32/0.67 % (14568)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 (2998ds/68Mi)
% 1.32/0.68 % (14563)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 (2998ds/51Mi)
% 1.32/0.68 % (14561)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.32/0.68 % (14572)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.32/0.68 % (14554)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 (2998ds/191324Mi)
% 1.32/0.68 % (14569)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 (2998ds/75Mi)
% 1.32/0.69 % (14576)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 (2998ds/498Mi)
% 1.32/0.69 % (14557)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.32/0.69 % (14556)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 (2998ds/37Mi)
% 1.32/0.69 % (14578)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.32/0.69 % (14580)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 (2998ds/68Mi)
% 1.32/0.69 % (14561)Instruction limit reached!
% 1.32/0.69 % (14561)------------------------------
% 1.32/0.69 % (14561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.69 % (14561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.69 % (14561)Termination reason: Unknown
% 1.32/0.69 % (14561)Termination phase: Saturation
% 1.32/0.69
% 1.32/0.69 % (14561)Memory used [KB]: 5756
% 1.32/0.69 % (14561)Time elapsed: 0.124 s
% 1.32/0.69 % (14561)Instructions burned: 7 (million)
% 1.32/0.69 % (14561)------------------------------
% 1.32/0.69 % (14561)------------------------------
% 1.32/0.69 % (14564)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.32/0.69 % (14577)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 (2998ds/467Mi)
% 1.32/0.70 % (14560)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.32/0.70 % (14570)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 (2998ds/99Mi)
% 1.32/0.70 % (14573)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 (2998ds/100Mi)
% 1.32/0.70 TRYING [4]
% 1.32/0.70 % (14558)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.32/0.70 % (14565)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.32/0.70 TRYING [4]
% 1.32/0.71 % (14571)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.32/0.71 % (14566)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.32/0.71 % (14582)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.32/0.71 % (14562)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.32/0.71 % (14567)First to succeed.
% 1.32/0.71 % (14562)Instruction limit reached!
% 1.32/0.71 % (14562)------------------------------
% 1.32/0.71 % (14562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.71 % (14562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.71 % (14562)Termination reason: Unknown
% 1.32/0.71 % (14562)Termination phase: Preprocessing 3
% 1.32/0.71
% 1.32/0.71 % (14562)Memory used [KB]: 1023
% 1.32/0.71 % (14562)Time elapsed: 0.004 s
% 1.32/0.71 % (14562)Instructions burned: 3 (million)
% 1.32/0.71 % (14562)------------------------------
% 1.32/0.71 % (14562)------------------------------
% 1.32/0.71 % (14579)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.32/0.71 % (14581)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 (2998ds/177Mi)
% 1.32/0.71 % (14567)Refutation found. Thanks to Tanya!
% 1.32/0.71 % SZS status Theorem for theBenchmark
% 1.32/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.71 % (14567)------------------------------
% 1.32/0.71 % (14567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.71 % (14567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.71 % (14567)Termination reason: Refutation
% 1.32/0.71
% 1.32/0.71 % (14567)Memory used [KB]: 6012
% 1.32/0.71 % (14567)Time elapsed: 0.169 s
% 1.32/0.71 % (14567)Instructions burned: 24 (million)
% 1.32/0.71 % (14567)------------------------------
% 1.32/0.71 % (14567)------------------------------
% 1.32/0.71 % (14420)Success in time 0.353 s
%------------------------------------------------------------------------------