TSTP Solution File: PRO011+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PRO011+4 : 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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:10:30 EDT 2022
% Result : Theorem 1.42s 0.55s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 23
% Syntax : Number of formulae : 107 ( 6 unt; 0 def)
% Number of atoms : 414 ( 17 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 430 ( 123 ~; 127 |; 142 &)
% ( 11 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 7 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 214 ( 150 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f658,plain,
$false,
inference(avatar_sat_refutation,[],[f454,f469,f526,f603,f635,f646,f657]) ).
fof(f657,plain,
( ~ spl19_7
| ~ spl19_8 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl19_7
| ~ spl19_8 ),
inference(resolution,[],[f648,f453]) ).
fof(f453,plain,
( leaf(sK10(sK17),tptp0)
| ~ spl19_7 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl19_7
<=> leaf(sK10(sK17),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).
fof(f648,plain,
( ! [X2] : ~ leaf(X2,tptp0)
| ~ spl19_8 ),
inference(resolution,[],[f525,f242]) ).
fof(f242,plain,
! [X0,X1,X5] :
( ~ min_precedes(X0,X5,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| min_precedes(X0,sK7(X0,X1),X1) )
& ( ( ( min_precedes(sK8(X0,X1),X0,X1)
| root(X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f167,f169,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X3] : min_precedes(X0,X3,X1)
=> min_precedes(X0,sK7(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X4] : min_precedes(X4,X0,X1)
=> min_precedes(sK8(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ( ! [X2] : ~ min_precedes(X2,X0,X1)
& ~ root(X0,X1) )
| ? [X3] : min_precedes(X0,X3,X1) )
& ( ( ( ? [X4] : min_precedes(X4,X0,X1)
| root(X0,X1) )
& ! [X5] : ~ min_precedes(X0,X5,X1) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X1,X0] :
( ( leaf(X1,X0)
| ( ! [X2] : ~ min_precedes(X2,X1,X0)
& ~ root(X1,X0) )
| ? [X3] : min_precedes(X1,X3,X0) )
& ( ( ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) )
& ! [X3] : ~ min_precedes(X1,X3,X0) )
| ~ leaf(X1,X0) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X1,X0] :
( ( leaf(X1,X0)
| ( ! [X2] : ~ min_precedes(X2,X1,X0)
& ~ root(X1,X0) )
| ? [X3] : min_precedes(X1,X3,X0) )
& ( ( ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) )
& ! [X3] : ~ min_precedes(X1,X3,X0) )
| ~ leaf(X1,X0) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X1,X0] :
( leaf(X1,X0)
<=> ( ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) )
& ! [X3] : ~ min_precedes(X1,X3,X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( leaf(X1,X0)
<=> ( ~ ? [X3] : min_precedes(X1,X3,X0)
& ( ? [X2] : min_precedes(X2,X1,X0)
| root(X1,X0) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X48,X47] :
( ( ( ? [X49] : min_precedes(X49,X47,X48)
| root(X47,X48) )
& ~ ? [X50] : min_precedes(X47,X50,X48) )
<=> leaf(X47,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f525,plain,
( ! [X0] : min_precedes(X0,sK16(sK17,X0),tptp0)
| ~ spl19_8 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f524,plain,
( spl19_8
<=> ! [X0] : min_precedes(X0,sK16(sK17,X0),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).
fof(f646,plain,
( ~ spl19_7
| ~ spl19_16 ),
inference(avatar_contradiction_clause,[],[f645]) ).
fof(f645,plain,
( $false
| ~ spl19_7
| ~ spl19_16 ),
inference(resolution,[],[f637,f453]) ).
fof(f637,plain,
( ! [X2] : ~ leaf(X2,tptp0)
| ~ spl19_16 ),
inference(resolution,[],[f634,f242]) ).
fof(f634,plain,
( ! [X6] : min_precedes(X6,sK18(X6),tptp0)
| ~ spl19_16 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl19_16
<=> ! [X6] : min_precedes(X6,sK18(X6),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).
fof(f635,plain,
( spl19_16
| spl19_10 ),
inference(avatar_split_clause,[],[f627,f543,f633]) ).
fof(f543,plain,
( spl19_10
<=> ! [X6] :
( ~ leaf_occ(X6,sK17)
| occurrence_of(X6,tptp1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).
fof(f627,plain,
! [X6,X7] :
( occurrence_of(X7,tptp1)
| min_precedes(X6,sK18(X6),tptp0)
| ~ leaf_occ(X7,sK17) ),
inference(resolution,[],[f282,f275]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| occurrence_of(X2,tptp1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(sK16(X0,X1),X0)
& min_precedes(X1,sK16(X0,X1),tptp0)
& occurrence_of(sK16(X0,X1),tptp2)
& occurrence_of(X2,tptp1) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f195,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ? [X3] :
( subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0)
& occurrence_of(X3,tptp2) )
=> ( subactivity_occurrence(sK16(X0,X1),X0)
& min_precedes(X1,sK16(X0,X1),tptp0)
& occurrence_of(sK16(X0,X1),tptp2) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0)
& occurrence_of(X3,tptp2) )
& occurrence_of(X2,tptp1) )
| ~ sP0(X0,X1,X2) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0)
& occurrence_of(X3,tptp2) )
& occurrence_of(X2,tptp1) )
| ~ sP0(X0,X1,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f282,plain,
! [X2,X1] :
( min_precedes(X1,sK18(X1),tptp0)
| sP0(sK17,X1,X2)
| ~ leaf_occ(X2,sK17) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( occurrence_of(sK17,tptp0)
& ! [X1,X2] :
( ( min_precedes(X1,sK18(X1),tptp0)
& subactivity_occurrence(sK18(X1),sK17)
& occurrence_of(sK18(X1),tptp1)
& occurrence_of(X2,tptp2) )
| ~ leaf_occ(X2,sK17)
| sP0(sK17,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f198,f200,f199]) ).
fof(f199,plain,
( ? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ( ? [X3] :
( min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,X0)
& occurrence_of(X3,tptp1) )
& occurrence_of(X2,tptp2) )
| ~ leaf_occ(X2,X0)
| sP0(X0,X1,X2) ) )
=> ( occurrence_of(sK17,tptp0)
& ! [X2,X1] :
( ( ? [X3] :
( min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,sK17)
& occurrence_of(X3,tptp1) )
& occurrence_of(X2,tptp2) )
| ~ leaf_occ(X2,sK17)
| sP0(sK17,X1,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X1] :
( ? [X3] :
( min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,sK17)
& occurrence_of(X3,tptp1) )
=> ( min_precedes(X1,sK18(X1),tptp0)
& subactivity_occurrence(sK18(X1),sK17)
& occurrence_of(sK18(X1),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ( ? [X3] :
( min_precedes(X1,X3,tptp0)
& subactivity_occurrence(X3,X0)
& occurrence_of(X3,tptp1) )
& occurrence_of(X2,tptp2) )
| ~ leaf_occ(X2,X0)
| sP0(X0,X1,X2) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ( ? [X4] :
( min_precedes(X1,X4,tptp0)
& subactivity_occurrence(X4,X0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X2,tptp2) )
| ~ leaf_occ(X2,X0)
| sP0(X0,X1,X2) ) ),
inference(definition_folding,[],[f125,f132]) ).
fof(f125,plain,
? [X0] :
( occurrence_of(X0,tptp0)
& ! [X1,X2] :
( ( ? [X4] :
( min_precedes(X1,X4,tptp0)
& subactivity_occurrence(X4,X0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X2,tptp2) )
| ~ leaf_occ(X2,X0)
| ( ? [X3] :
( subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0)
& occurrence_of(X3,tptp2) )
& occurrence_of(X2,tptp1) ) ) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( ( occurrence_of(X2,tptp2)
=> ~ ? [X4] :
( min_precedes(X1,X4,tptp0)
& subactivity_occurrence(X4,X0)
& occurrence_of(X4,tptp1) ) )
& ( occurrence_of(X2,tptp1)
=> ~ ? [X3] :
( subactivity_occurrence(X3,X0)
& min_precedes(X1,X3,tptp0)
& occurrence_of(X3,tptp2) ) )
& leaf_occ(X2,X0) ) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( leaf_occ(X107,X105)
& ( occurrence_of(X107,tptp1)
=> ~ ? [X108] :
( occurrence_of(X108,tptp2)
& min_precedes(X106,X108,tptp0)
& subactivity_occurrence(X108,X105) ) )
& ( occurrence_of(X107,tptp2)
=> ~ ? [X109] :
( occurrence_of(X109,tptp1)
& min_precedes(X106,X109,tptp0)
& subactivity_occurrence(X109,X105) ) ) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( leaf_occ(X107,X105)
& ( occurrence_of(X107,tptp1)
=> ~ ? [X108] :
( occurrence_of(X108,tptp2)
& min_precedes(X106,X108,tptp0)
& subactivity_occurrence(X108,X105) ) )
& ( occurrence_of(X107,tptp2)
=> ~ ? [X109] :
( occurrence_of(X109,tptp1)
& min_precedes(X106,X109,tptp0)
& subactivity_occurrence(X109,X105) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f603,plain,
( ~ spl19_1
| ~ spl19_10 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f602,plain,
( $false
| ~ spl19_1
| ~ spl19_10 ),
inference(subsumption_resolution,[],[f596,f235]) ).
fof(f235,plain,
tptp1 != tptp2,
inference(cnf_transformation,[],[f45]) ).
fof(f45,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
fof(f596,plain,
( tptp1 = tptp2
| ~ spl19_1
| ~ spl19_10 ),
inference(superposition,[],[f530,f590]) ).
fof(f590,plain,
( tptp1 = sK12(sK10(sK17))
| ~ spl19_10 ),
inference(resolution,[],[f589,f338]) ).
fof(f338,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| sK12(X1) = X0 ),
inference(subsumption_resolution,[],[f332,f262]) ).
fof(f262,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| activity_occurrence(X0) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,plain,
! [X1,X0] :
( occurrence_of(X1,X0)
=> activity_occurrence(X1) ),
inference(pure_predicate_removal,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( occurrence_of(X1,X0)
=> ( activity(X0)
& activity_occurrence(X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X12,X13] :
( occurrence_of(X13,X12)
=> ( activity_occurrence(X13)
& activity(X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f332,plain,
! [X0,X1] :
( ~ activity_occurrence(X1)
| sK12(X1) = X0
| ~ occurrence_of(X1,X0) ),
inference(resolution,[],[f258,f261]) ).
fof(f261,plain,
! [X0] :
( occurrence_of(X0,sK12(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( occurrence_of(X0,sK12(X0))
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f128,f180]) ).
fof(f180,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
=> occurrence_of(X0,sK12(X0)) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
! [X0] :
( ? [X1] : occurrence_of(X0,X1)
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] : occurrence_of(X0,X1) ),
inference(pure_predicate_removal,[],[f57]) ).
fof(f57,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( activity(X1)
& occurrence_of(X0,X1) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X41] :
( activity_occurrence(X41)
=> ? [X42] :
( occurrence_of(X41,X42)
& activity(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ occurrence_of(X2,X0)
| ~ occurrence_of(X2,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ occurrence_of(X2,X0)
| ~ occurrence_of(X2,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ( occurrence_of(X2,X0)
& occurrence_of(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X29,X30,X28] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f589,plain,
( occurrence_of(sK10(sK17),tptp1)
| ~ spl19_10 ),
inference(subsumption_resolution,[],[f588,f283]) ).
fof(f283,plain,
occurrence_of(sK17,tptp0),
inference(cnf_transformation,[],[f201]) ).
fof(f588,plain,
( ~ occurrence_of(sK17,tptp0)
| occurrence_of(sK10(sK17),tptp1)
| ~ spl19_10 ),
inference(resolution,[],[f544,f254]) ).
fof(f254,plain,
! [X0] :
( leaf_occ(sK10(X0),X0)
| ~ occurrence_of(X0,tptp0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( occurrence_of(sK11(X0),tptp3)
& next_subocc(sK9(X0),sK10(X0),tptp0)
& leaf_occ(sK10(X0),X0)
& ( occurrence_of(sK10(X0),tptp1)
| occurrence_of(sK10(X0),tptp2) )
& occurrence_of(sK9(X0),tptp4)
& next_subocc(sK11(X0),sK9(X0),tptp0)
& root_occ(sK11(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f174,f175]) ).
fof(f175,plain,
! [X0] :
( ? [X1,X2,X3] :
( occurrence_of(X3,tptp3)
& next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& occurrence_of(X1,tptp4)
& next_subocc(X3,X1,tptp0)
& root_occ(X3,X0) )
=> ( occurrence_of(sK11(X0),tptp3)
& next_subocc(sK9(X0),sK10(X0),tptp0)
& leaf_occ(sK10(X0),X0)
& ( occurrence_of(sK10(X0),tptp1)
| occurrence_of(sK10(X0),tptp2) )
& occurrence_of(sK9(X0),tptp4)
& next_subocc(sK11(X0),sK9(X0),tptp0)
& root_occ(sK11(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( occurrence_of(X3,tptp3)
& next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp1)
| occurrence_of(X2,tptp2) )
& occurrence_of(X1,tptp4)
& next_subocc(X3,X1,tptp0)
& root_occ(X3,X0) ) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X2,X3,X1] :
( occurrence_of(X1,tptp3)
& next_subocc(X2,X3,tptp0)
& leaf_occ(X3,X0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& occurrence_of(X2,tptp4)
& next_subocc(X1,X2,tptp0)
& root_occ(X1,X0) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X2,X3,X1] :
( occurrence_of(X1,tptp3)
& next_subocc(X2,X3,tptp0)
& leaf_occ(X3,X0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& occurrence_of(X2,tptp4)
& next_subocc(X1,X2,tptp0)
& root_occ(X1,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X103,X104] :
( leaf_occ(X104,X101)
& occurrence_of(X102,tptp3)
& next_subocc(X102,X103,tptp0)
& root_occ(X102,X101)
& next_subocc(X103,X104,tptp0)
& occurrence_of(X103,tptp4)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f544,plain,
( ! [X6] :
( ~ leaf_occ(X6,sK17)
| occurrence_of(X6,tptp1) )
| ~ spl19_10 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f530,plain,
( tptp2 = sK12(sK10(sK17))
| ~ spl19_1 ),
inference(resolution,[],[f529,f338]) ).
fof(f529,plain,
( occurrence_of(sK10(sK17),tptp2)
| ~ spl19_1 ),
inference(subsumption_resolution,[],[f528,f283]) ).
fof(f528,plain,
( ~ occurrence_of(sK17,tptp0)
| occurrence_of(sK10(sK17),tptp2)
| ~ spl19_1 ),
inference(resolution,[],[f353,f254]) ).
fof(f353,plain,
( ! [X0] :
( ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp2) )
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl19_1
<=> ! [X0] :
( ~ leaf_occ(X0,sK17)
| occurrence_of(X0,tptp2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).
fof(f526,plain,
( spl19_1
| spl19_8 ),
inference(avatar_split_clause,[],[f522,f524,f352]) ).
fof(f522,plain,
! [X0,X1] :
( min_precedes(X0,sK16(sK17,X0),tptp0)
| ~ leaf_occ(X1,sK17)
| occurrence_of(X1,tptp2) ),
inference(resolution,[],[f277,f279]) ).
fof(f279,plain,
! [X2,X1] :
( sP0(sK17,X1,X2)
| ~ leaf_occ(X2,sK17)
| occurrence_of(X2,tptp2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| min_precedes(X1,sK16(X0,X1),tptp0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f469,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f468]) ).
fof(f468,plain,
( $false
| spl19_6 ),
inference(subsumption_resolution,[],[f467,f283]) ).
fof(f467,plain,
( ~ occurrence_of(sK17,tptp0)
| spl19_6 ),
inference(resolution,[],[f449,f254]) ).
fof(f449,plain,
( ~ leaf_occ(sK10(sK17),sK17)
| spl19_6 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl19_6
<=> leaf_occ(sK10(sK17),sK17) ),
introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).
fof(f454,plain,
( ~ spl19_6
| spl19_7 ),
inference(avatar_split_clause,[],[f445,f451,f447]) ).
fof(f445,plain,
( leaf(sK10(sK17),tptp0)
| ~ leaf_occ(sK10(sK17),sK17) ),
inference(superposition,[],[f264,f441]) ).
fof(f441,plain,
tptp0 = sK13(sK17,sK10(sK17)),
inference(subsumption_resolution,[],[f440,f283]) ).
fof(f440,plain,
( ~ occurrence_of(sK17,tptp0)
| tptp0 = sK13(sK17,sK10(sK17)) ),
inference(resolution,[],[f342,f254]) ).
fof(f342,plain,
! [X1] :
( ~ leaf_occ(X1,sK17)
| tptp0 = sK13(sK17,X1) ),
inference(resolution,[],[f337,f265]) ).
fof(f265,plain,
! [X0,X1] :
( occurrence_of(X0,sK13(X0,X1))
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1] :
( ( ( subactivity_occurrence(X1,X0)
& occurrence_of(X0,sK13(X0,X1))
& leaf(X1,sK13(X0,X1)) )
| ~ leaf_occ(X1,X0) )
& ( leaf_occ(X1,X0)
| ! [X3] :
( ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,X3)
| ~ leaf(X1,X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f184,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X1,X0)
& occurrence_of(X0,X2)
& leaf(X1,X2) )
=> ( subactivity_occurrence(X1,X0)
& occurrence_of(X0,sK13(X0,X1))
& leaf(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0,X1] :
( ( ? [X2] :
( subactivity_occurrence(X1,X0)
& occurrence_of(X0,X2)
& leaf(X1,X2) )
| ~ leaf_occ(X1,X0) )
& ( leaf_occ(X1,X0)
| ! [X3] :
( ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,X3)
| ~ leaf(X1,X3) ) ) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X0,X1] :
( ( ? [X2] :
( subactivity_occurrence(X1,X0)
& occurrence_of(X0,X2)
& leaf(X1,X2) )
| ~ leaf_occ(X1,X0) )
& ( leaf_occ(X1,X0)
| ! [X2] :
( ~ subactivity_occurrence(X1,X0)
| ~ occurrence_of(X0,X2)
| ~ leaf(X1,X2) ) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ? [X2] :
( subactivity_occurrence(X1,X0)
& occurrence_of(X0,X2)
& leaf(X1,X2) )
<=> leaf_occ(X1,X0) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X56,X55] :
( leaf_occ(X55,X56)
<=> ? [X57] :
( leaf(X55,X57)
& subactivity_occurrence(X55,X56)
& occurrence_of(X56,X57) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(f337,plain,
! [X12] :
( ~ occurrence_of(sK17,X12)
| tptp0 = X12 ),
inference(resolution,[],[f258,f283]) ).
fof(f264,plain,
! [X0,X1] :
( leaf(X1,sK13(X0,X1))
| ~ leaf_occ(X1,X0) ),
inference(cnf_transformation,[],[f186]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PRO011+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % 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 : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:30:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (16627)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)
% 0.19/0.50 % (16619)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)
% 0.19/0.50 % (16611)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)
% 0.19/0.51 % (16626)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (16618)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 TRYING [4]
% 0.19/0.52 % (16608)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 % (16633)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (16607)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)
% 0.19/0.52 % (16632)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 % (16606)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 % (16610)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 % (16609)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (16613)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (16613)Instruction limit reached!
% 0.19/0.53 % (16613)------------------------------
% 0.19/0.53 % (16613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (16613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (16613)Termination reason: Unknown
% 0.19/0.53 % (16613)Termination phase: Blocked clause elimination
% 0.19/0.53
% 0.19/0.53 % (16613)Memory used [KB]: 1151
% 0.19/0.53 % (16613)Time elapsed: 0.003 s
% 0.19/0.53 % (16613)Instructions burned: 3 (million)
% 0.19/0.53 % (16613)------------------------------
% 0.19/0.53 % (16613)------------------------------
% 0.19/0.53 % (16623)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (16622)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (16634)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)
% 1.42/0.53 % (16629)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.42/0.54 % (16630)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.42/0.54 % (16615)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.42/0.54 % (16625)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)
% 1.42/0.54 % (16624)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)
% 1.42/0.54 % (16605)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)
% 1.42/0.54 % (16621)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)
% 1.42/0.54 % (16631)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)
% 1.42/0.54 % (16617)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.42/0.54 % (16614)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)
% 1.42/0.54 % (16616)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)
% 1.42/0.54 % (16618)First to succeed.
% 1.42/0.54 % (16628)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)
% 1.42/0.55 % (16606)Refutation not found, incomplete strategy% (16606)------------------------------
% 1.42/0.55 % (16606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.55 % (16606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.55 % (16606)Termination reason: Refutation not found, incomplete strategy
% 1.42/0.55
% 1.42/0.55 % (16606)Memory used [KB]: 5756
% 1.42/0.55 % (16606)Time elapsed: 0.146 s
% 1.42/0.55 % (16606)Instructions burned: 5 (million)
% 1.42/0.55 % (16606)------------------------------
% 1.42/0.55 % (16606)------------------------------
% 1.42/0.55 % (16612)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.42/0.55 % (16618)Refutation found. Thanks to Tanya!
% 1.42/0.55 % SZS status Theorem for theBenchmark
% 1.42/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.55 % (16618)------------------------------
% 1.57/0.55 % (16618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.55 % (16618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.55 % (16618)Termination reason: Refutation
% 1.57/0.55
% 1.57/0.55 % (16618)Memory used [KB]: 5884
% 1.57/0.55 % (16618)Time elapsed: 0.129 s
% 1.57/0.55 % (16618)Instructions burned: 15 (million)
% 1.57/0.55 % (16618)------------------------------
% 1.57/0.55 % (16618)------------------------------
% 1.57/0.55 % (16604)Success in time 0.203 s
%------------------------------------------------------------------------------