TSTP Solution File: PRO014+3 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : PRO014+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 : Mon Jun 24 13:41:32 EDT 2024
% Result : Theorem 1.66s 0.58s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 166 ( 10 unt; 0 def)
% Number of atoms : 711 ( 12 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 887 ( 342 ~; 341 |; 160 &)
% ( 20 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 11 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 264 ( 221 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10169,plain,
$false,
inference(avatar_sat_refutation,[],[f441,f474,f523,f541,f553,f628,f641,f9774,f9783,f9937,f10165]) ).
fof(f10165,plain,
( ~ spl20_21
| ~ spl20_23
| ~ spl20_946 ),
inference(avatar_contradiction_clause,[],[f10164]) ).
fof(f10164,plain,
( $false
| ~ spl20_21
| ~ spl20_23
| ~ spl20_946 ),
inference(subsumption_resolution,[],[f10100,f261]) ).
fof(f261,plain,
! [X0,X1] :
( ~ earlier(X0,X1)
| ~ earlier(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ earlier(X1,X0)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( earlier(X0,X1)
=> ~ earlier(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X8,X9] :
( earlier(X8,X9)
=> ~ earlier(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f10100,plain,
( earlier(sK4(sK0),sK4(sK0))
| ~ spl20_21
| ~ spl20_23
| ~ spl20_946 ),
inference(superposition,[],[f5594,f9782]) ).
fof(f9782,plain,
( sK4(sK0) = sK6(sK0)
| ~ spl20_946 ),
inference(avatar_component_clause,[],[f9780]) ).
fof(f9780,plain,
( spl20_946
<=> sK4(sK0) = sK6(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_946])]) ).
fof(f5594,plain,
( earlier(sK4(sK0),sK6(sK0))
| ~ spl20_21
| ~ spl20_23 ),
inference(resolution,[],[f1450,f1429]) ).
fof(f1429,plain,
( earlier(sK5(sK0),sK6(sK0))
| ~ spl20_23 ),
inference(resolution,[],[f1398,f284]) ).
fof(f284,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1398,plain,
( precedes(sK5(sK0),sK6(sK0))
| ~ spl20_23 ),
inference(resolution,[],[f304,f735]) ).
fof(f735,plain,
( min_precedes(sK5(sK0),sK6(sK0),tptp0)
| ~ spl20_23 ),
inference(resolution,[],[f552,f320]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ( min_precedes(sK18(X0,X1,X2),X1,X2)
& min_precedes(X0,sK18(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f231,f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
=> ( min_precedes(sK18(X0,X1,X2),X1,X2)
& min_precedes(X0,sK18(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f229]) ).
fof(f229,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f552,plain,
( next_subocc(sK5(sK0),sK6(sK0),tptp0)
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl20_23
<=> next_subocc(sK5(sK0),sK6(sK0),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f304,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1450,plain,
( ! [X0] :
( ~ earlier(sK5(sK0),X0)
| earlier(sK4(sK0),X0) )
| ~ spl20_21 ),
inference(resolution,[],[f1420,f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ earlier(X0,X1)
| ~ earlier(X1,X2)
| earlier(X0,X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1,X2] :
( earlier(X0,X2)
| ~ earlier(X1,X2)
| ~ earlier(X0,X1) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( earlier(X0,X2)
| ~ earlier(X1,X2)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( earlier(X1,X2)
& earlier(X0,X1) )
=> earlier(X0,X2) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X10,X11,X12] :
( ( earlier(X11,X12)
& earlier(X10,X11) )
=> earlier(X10,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1420,plain,
( earlier(sK4(sK0),sK5(sK0))
| ~ spl20_21 ),
inference(resolution,[],[f1397,f284]) ).
fof(f1397,plain,
( precedes(sK4(sK0),sK5(sK0))
| ~ spl20_21 ),
inference(resolution,[],[f304,f728]) ).
fof(f728,plain,
( min_precedes(sK4(sK0),sK5(sK0),tptp0)
| ~ spl20_21 ),
inference(resolution,[],[f540,f320]) ).
fof(f540,plain,
( next_subocc(sK4(sK0),sK5(sK0),tptp0)
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f538,plain,
( spl20_21
<=> next_subocc(sK4(sK0),sK5(sK0),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f9937,plain,
( ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_34
| ~ spl20_945 ),
inference(avatar_contradiction_clause,[],[f9936]) ).
fof(f9936,plain,
( $false
| ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_34
| ~ spl20_945 ),
inference(subsumption_resolution,[],[f9935,f473]) ).
fof(f473,plain,
( leaf(sK6(sK0),tptp0)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl20_11
<=> leaf(sK6(sK0),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f9935,plain,
( ~ leaf(sK6(sK0),tptp0)
| ~ spl20_5
| ~ spl20_19
| ~ spl20_34
| ~ spl20_945 ),
inference(subsumption_resolution,[],[f9919,f623]) ).
fof(f623,plain,
( occurrence_of(sK6(sK0),tptp1)
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl20_34
<=> occurrence_of(sK6(sK0),tptp1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f9919,plain,
( ~ occurrence_of(sK6(sK0),tptp1)
| ~ leaf(sK6(sK0),tptp0)
| ~ spl20_5
| ~ spl20_19
| ~ spl20_945 ),
inference(resolution,[],[f9778,f687]) ).
fof(f687,plain,
( ! [X0] :
( ~ min_precedes(sK4(sK0),X0,tptp0)
| ~ occurrence_of(X0,tptp1)
| ~ leaf(X0,tptp0) )
| ~ spl20_5
| ~ spl20_19 ),
inference(subsumption_resolution,[],[f679,f437]) ).
fof(f437,plain,
( occurrence_of(sK4(sK0),tptp3)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl20_5
<=> occurrence_of(sK4(sK0),tptp3) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f679,plain,
( ! [X0] :
( ~ min_precedes(sK4(sK0),X0,tptp0)
| ~ occurrence_of(X0,tptp1)
| ~ leaf(X0,tptp0)
| ~ occurrence_of(sK4(sK0),tptp3) )
| ~ spl20_19 ),
inference(resolution,[],[f522,f241]) ).
fof(f241,plain,
! [X2,X3] :
( ~ next_subocc(sK0,X2,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp1)
| ~ leaf(X3,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK0,sK1)
& arboreal(sK0)
& subactivity_occurrence(sK0,sK1)
& occurrence_of(sK1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f117,f192]) ).
fof(f192,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ( ! [X3,X2] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK0,sK1)
& arboreal(sK0)
& subactivity_occurrence(sK0,sK1)
& occurrence_of(sK1,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( leaf(X3,tptp0)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f64]) ).
fof(f64,negated_conjecture,
~ ! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168,X169] :
( leaf(X169,tptp0)
& min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp3) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f63,conjecture,
! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168,X169] :
( leaf(X169,tptp0)
& min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f522,plain,
( next_subocc(sK0,sK4(sK0),tptp0)
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f520,plain,
( spl20_19
<=> next_subocc(sK0,sK4(sK0),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f9778,plain,
( min_precedes(sK4(sK0),sK6(sK0),tptp0)
| ~ spl20_945 ),
inference(avatar_component_clause,[],[f9776]) ).
fof(f9776,plain,
( spl20_945
<=> min_precedes(sK4(sK0),sK6(sK0),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_945])]) ).
fof(f9783,plain,
( spl20_945
| spl20_946
| ~ spl20_5
| ~ spl20_11
| ~ spl20_21
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f9495,f550,f538,f471,f435,f9780,f9776]) ).
fof(f9495,plain,
( sK4(sK0) = sK6(sK0)
| min_precedes(sK4(sK0),sK6(sK0),tptp0)
| ~ spl20_5
| ~ spl20_11
| ~ spl20_21
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f9475,f647]) ).
fof(f647,plain,
( arboreal(sK4(sK0))
| ~ spl20_5 ),
inference(subsumption_resolution,[],[f644,f245]) ).
fof(f245,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f644,plain,
( ~ atomic(tptp3)
| arboreal(sK4(sK0))
| ~ spl20_5 ),
inference(resolution,[],[f437,f267]) ).
fof(f267,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f9475,plain,
( sK4(sK0) = sK6(sK0)
| ~ arboreal(sK4(sK0))
| min_precedes(sK4(sK0),sK6(sK0),tptp0)
| ~ spl20_11
| ~ spl20_21
| ~ spl20_23 ),
inference(resolution,[],[f2675,f2569]) ).
fof(f2569,plain,
( subactivity_occurrence(sK4(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11
| ~ spl20_21
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2561,f671]) ).
fof(f671,plain,
( occurrence_of(sK7(sK6(sK0),tptp0),tptp0)
| ~ spl20_11 ),
inference(subsumption_resolution,[],[f659,f242]) ).
fof(f242,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f659,plain,
( atomic(tptp0)
| occurrence_of(sK7(sK6(sK0),tptp0),tptp0)
| ~ spl20_11 ),
inference(resolution,[],[f473,f276]) ).
fof(f276,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( leaf_occ(X0,sK7(X0,X1))
& occurrence_of(sK7(X0,X1),X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f132,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
=> ( leaf_occ(X0,sK7(X0,X1))
& occurrence_of(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( ~ atomic(X1)
& leaf(X0,X1) )
=> ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X145,X146] :
( ( ~ atomic(X146)
& leaf(X145,X146) )
=> ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2561,plain,
( ~ occurrence_of(sK7(sK6(sK0),tptp0),tptp0)
| subactivity_occurrence(sK4(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11
| ~ spl20_21
| ~ spl20_23 ),
inference(resolution,[],[f2219,f927]) ).
fof(f927,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK5(sK0),X0)
| ~ occurrence_of(X0,tptp0)
| subactivity_occurrence(sK4(sK0),X0) )
| ~ spl20_21 ),
inference(resolution,[],[f728,f334]) ).
fof(f334,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2219,plain,
( subactivity_occurrence(sK5(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11
| ~ spl20_23 ),
inference(subsumption_resolution,[],[f2217,f671]) ).
fof(f2217,plain,
( ~ occurrence_of(sK7(sK6(sK0),tptp0),tptp0)
| subactivity_occurrence(sK5(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11
| ~ spl20_23 ),
inference(resolution,[],[f974,f989]) ).
fof(f989,plain,
( subactivity_occurrence(sK6(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11 ),
inference(resolution,[],[f670,f292]) ).
fof(f292,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK12(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK12(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f216,f217]) ).
fof(f217,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK12(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
| ~ leaf_occ(X0,X1) ) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ leaf_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f670,plain,
( leaf_occ(sK6(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11 ),
inference(subsumption_resolution,[],[f658,f242]) ).
fof(f658,plain,
( atomic(tptp0)
| leaf_occ(sK6(sK0),sK7(sK6(sK0),tptp0))
| ~ spl20_11 ),
inference(resolution,[],[f473,f277]) ).
fof(f277,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f202]) ).
fof(f974,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK6(sK0),X0)
| ~ occurrence_of(X0,tptp0)
| subactivity_occurrence(sK5(sK0),X0) )
| ~ spl20_23 ),
inference(resolution,[],[f735,f334]) ).
fof(f2675,plain,
( ! [X0] :
( ~ subactivity_occurrence(X0,sK7(sK6(sK0),tptp0))
| sK6(sK0) = X0
| ~ arboreal(X0)
| min_precedes(X0,sK6(sK0),tptp0) )
| ~ spl20_11 ),
inference(resolution,[],[f994,f671]) ).
fof(f994,plain,
( ! [X0,X1] :
( ~ occurrence_of(sK7(sK6(sK0),tptp0),X1)
| ~ arboreal(X0)
| sK6(sK0) = X0
| ~ subactivity_occurrence(X0,sK7(sK6(sK0),tptp0))
| min_precedes(X0,sK6(sK0),X1) )
| ~ spl20_11 ),
inference(resolution,[],[f670,f329]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( ~ leaf_occ(X3,X1)
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| X2 = X3
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ( ~ min_precedes(X2,X3,X0)
& arboreal(X2)
& leaf_occ(X3,X1)
& subactivity_occurrence(X2,X1)
& occurrence_of(X1,X0) )
=> X2 = X3 ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X138,X139,X140,X141] :
( ( ~ min_precedes(X140,X141,X138)
& arboreal(X140)
& leaf_occ(X141,X139)
& subactivity_occurrence(X140,X139)
& occurrence_of(X139,X138) )
=> X140 = X141 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f9774,plain,
( ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_21
| ~ spl20_23
| ~ spl20_35 ),
inference(avatar_contradiction_clause,[],[f9773]) ).
fof(f9773,plain,
( $false
| ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_21
| ~ spl20_23
| ~ spl20_35 ),
inference(subsumption_resolution,[],[f9714,f261]) ).
fof(f9714,plain,
( earlier(sK4(sK0),sK4(sK0))
| ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_21
| ~ spl20_23
| ~ spl20_35 ),
inference(superposition,[],[f5594,f9496]) ).
fof(f9496,plain,
( sK4(sK0) = sK6(sK0)
| ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_21
| ~ spl20_23
| ~ spl20_35 ),
inference(subsumption_resolution,[],[f9495,f1484]) ).
fof(f1484,plain,
( ~ min_precedes(sK4(sK0),sK6(sK0),tptp0)
| ~ spl20_5
| ~ spl20_11
| ~ spl20_19
| ~ spl20_35 ),
inference(subsumption_resolution,[],[f1477,f473]) ).
fof(f1477,plain,
( ~ min_precedes(sK4(sK0),sK6(sK0),tptp0)
| ~ leaf(sK6(sK0),tptp0)
| ~ spl20_5
| ~ spl20_19
| ~ spl20_35 ),
inference(resolution,[],[f627,f688]) ).
fof(f688,plain,
( ! [X0] :
( ~ occurrence_of(X0,tptp2)
| ~ min_precedes(sK4(sK0),X0,tptp0)
| ~ leaf(X0,tptp0) )
| ~ spl20_5
| ~ spl20_19 ),
inference(subsumption_resolution,[],[f680,f437]) ).
fof(f680,plain,
( ! [X0] :
( ~ min_precedes(sK4(sK0),X0,tptp0)
| ~ occurrence_of(X0,tptp2)
| ~ leaf(X0,tptp0)
| ~ occurrence_of(sK4(sK0),tptp3) )
| ~ spl20_19 ),
inference(resolution,[],[f522,f240]) ).
fof(f240,plain,
! [X2,X3] :
( ~ next_subocc(sK0,X2,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp2)
| ~ leaf(X3,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f193]) ).
fof(f627,plain,
( occurrence_of(sK6(sK0),tptp2)
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl20_35
<=> occurrence_of(sK6(sK0),tptp2) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f641,plain,
~ spl20_6,
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl20_6 ),
inference(subsumption_resolution,[],[f639,f239]) ).
fof(f239,plain,
~ leaf_occ(sK0,sK1),
inference(cnf_transformation,[],[f193]) ).
fof(f639,plain,
( leaf_occ(sK0,sK1)
| ~ spl20_6 ),
inference(subsumption_resolution,[],[f638,f236]) ).
fof(f236,plain,
occurrence_of(sK1,tptp0),
inference(cnf_transformation,[],[f193]) ).
fof(f638,plain,
( ~ occurrence_of(sK1,tptp0)
| leaf_occ(sK0,sK1)
| ~ spl20_6 ),
inference(resolution,[],[f440,f237]) ).
fof(f237,plain,
subactivity_occurrence(sK0,sK1),
inference(cnf_transformation,[],[f193]) ).
fof(f440,plain,
( ! [X0] :
( ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0)
| leaf_occ(sK0,X0) )
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl20_6
<=> ! [X0] :
( leaf_occ(sK0,X0)
| ~ occurrence_of(X0,tptp0)
| ~ subactivity_occurrence(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f628,plain,
( spl20_34
| spl20_6
| spl20_35 ),
inference(avatar_split_clause,[],[f618,f625,f439,f621]) ).
fof(f618,plain,
! [X0] :
( occurrence_of(sK6(sK0),tptp2)
| leaf_occ(sK0,X0)
| occurrence_of(sK6(sK0),tptp1)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f273,f238]) ).
fof(f238,plain,
arboreal(sK0),
inference(cnf_transformation,[],[f193]) ).
fof(f273,plain,
! [X0,X1] :
( ~ arboreal(X0)
| occurrence_of(sK6(X0),tptp2)
| leaf_occ(X0,X1)
| occurrence_of(sK6(X0),tptp1)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0,X1] :
( ( leaf(sK6(X0),tptp0)
& next_subocc(sK5(X0),sK6(X0),tptp0)
& ( occurrence_of(sK6(X0),tptp1)
| occurrence_of(sK6(X0),tptp2) )
& next_subocc(sK4(X0),sK5(X0),tptp0)
& occurrence_of(sK5(X0),tptp4)
& next_subocc(X0,sK4(X0),tptp0)
& occurrence_of(sK4(X0),tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6])],[f130,f199]) ).
fof(f199,plain,
! [X0] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
=> ( leaf(sK6(X0),tptp0)
& next_subocc(sK5(X0),sK6(X0),tptp0)
& ( occurrence_of(sK6(X0),tptp1)
| occurrence_of(sK6(X0),tptp2) )
& next_subocc(sK4(X0),sK5(X0),tptp0)
& occurrence_of(sK5(X0),tptp4)
& next_subocc(X0,sK4(X0),tptp0)
& occurrence_of(sK4(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X161,X162] :
( ( ~ leaf_occ(X161,X162)
& arboreal(X161)
& subactivity_occurrence(X161,X162)
& occurrence_of(X162,tptp0) )
=> ? [X163,X164,X165] :
( leaf(X165,tptp0)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X165,tptp1)
| occurrence_of(X165,tptp2) )
& next_subocc(X163,X164,tptp0)
& occurrence_of(X164,tptp4)
& next_subocc(X161,X163,tptp0)
& occurrence_of(X163,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f553,plain,
( spl20_23
| spl20_6 ),
inference(avatar_split_clause,[],[f547,f439,f550]) ).
fof(f547,plain,
! [X0] :
( leaf_occ(sK0,X0)
| next_subocc(sK5(sK0),sK6(sK0),tptp0)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f274,f238]) ).
fof(f274,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| next_subocc(sK5(X0),sK6(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f541,plain,
( spl20_21
| spl20_6 ),
inference(avatar_split_clause,[],[f535,f439,f538]) ).
fof(f535,plain,
! [X0] :
( leaf_occ(sK0,X0)
| next_subocc(sK4(sK0),sK5(sK0),tptp0)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f272,f238]) ).
fof(f272,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| next_subocc(sK4(X0),sK5(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f523,plain,
( spl20_19
| spl20_6 ),
inference(avatar_split_clause,[],[f517,f439,f520]) ).
fof(f517,plain,
! [X0] :
( leaf_occ(sK0,X0)
| next_subocc(sK0,sK4(sK0),tptp0)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f270,f238]) ).
fof(f270,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| next_subocc(X0,sK4(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f474,plain,
( spl20_11
| spl20_6 ),
inference(avatar_split_clause,[],[f468,f439,f471]) ).
fof(f468,plain,
! [X0] :
( leaf_occ(sK0,X0)
| leaf(sK6(sK0),tptp0)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f275,f238]) ).
fof(f275,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| leaf(sK6(X0),tptp0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f441,plain,
( spl20_5
| spl20_6 ),
inference(avatar_split_clause,[],[f432,f439,f435]) ).
fof(f432,plain,
! [X0] :
( leaf_occ(sK0,X0)
| occurrence_of(sK4(sK0),tptp3)
| ~ subactivity_occurrence(sK0,X0)
| ~ occurrence_of(X0,tptp0) ),
inference(resolution,[],[f269,f238]) ).
fof(f269,plain,
! [X0,X1] :
( ~ arboreal(X0)
| leaf_occ(X0,X1)
| occurrence_of(sK4(X0),tptp3)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PRO014+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 06:27:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31145)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31147)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31146)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31144)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31142)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31143)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.20/0.41 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (31148)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.20/0.48 % (31146)Instruction limit reached!
% 0.20/0.48 % (31146)------------------------------
% 0.20/0.48 % (31146)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (31146)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (31146)Termination reason: Time limit
% 0.20/0.48 % (31146)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (31146)Memory used [KB]: 1950
% 0.20/0.48 % (31146)Time elapsed: 0.067 s
% 0.20/0.48 % (31146)Instructions burned: 110 (million)
% 0.20/0.48 % (31148)Instruction limit reached!
% 0.20/0.48 % (31148)------------------------------
% 0.20/0.48 % (31148)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (31148)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (31148)Termination reason: Time limit
% 0.20/0.48 % (31148)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (31148)Memory used [KB]: 1946
% 0.20/0.48 % (31148)Time elapsed: 0.066 s
% 0.20/0.48 % (31148)Instructions burned: 124 (million)
% 0.20/0.48 % (31147)Instruction limit reached!
% 0.20/0.48 % (31147)------------------------------
% 0.20/0.48 % (31147)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (31147)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (31147)Termination reason: Time limit
% 0.20/0.48 % (31147)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (31147)Memory used [KB]: 2634
% 0.20/0.48 % (31147)Time elapsed: 0.073 s
% 0.20/0.48 % (31147)Instructions burned: 134 (million)
% 0.20/0.51 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (31150)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.20/0.51 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.51 % (31149)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.20/0.52 % (31141)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.52 % (31151)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 0.20/0.56 % (31150)Instruction limit reached!
% 0.20/0.56 % (31150)------------------------------
% 0.20/0.56 % (31150)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (31150)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (31150)Termination reason: Time limit
% 0.20/0.56 % (31150)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (31150)Memory used [KB]: 2214
% 0.20/0.56 % (31150)Time elapsed: 0.051 s
% 0.20/0.56 % (31150)Instructions burned: 146 (million)
% 0.20/0.56 % (31149)Instruction limit reached!
% 0.20/0.56 % (31149)------------------------------
% 0.20/0.56 % (31149)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.56 % (31149)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.56 % (31149)Termination reason: Time limit
% 0.20/0.56 % (31149)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (31149)Memory used [KB]: 2969
% 0.20/0.56 % (31149)Time elapsed: 0.050 s
% 0.20/0.56 % (31149)Instructions burned: 128 (million)
% 0.20/0.58 % (31143)First to succeed.
% 1.66/0.58 % (31151)Instruction limit reached!
% 1.66/0.58 % (31151)------------------------------
% 1.66/0.58 % (31151)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.66/0.58 % (31151)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.66/0.58 % (31151)Termination reason: Time limit
% 1.66/0.58 % (31151)Termination phase: Saturation
% 1.66/0.58
% 1.66/0.58 % (31151)Memory used [KB]: 3820
% 1.66/0.58 % (31151)Time elapsed: 0.060 s
% 1.66/0.58 % (31151)Instructions burned: 175 (million)
% 1.66/0.58 % (31143)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-31141"
% 1.66/0.58 % (31141)Running in auto input_syntax mode. Trying TPTP
% 1.66/0.58 % (31143)Refutation found. Thanks to Tanya!
% 1.66/0.58 % SZS status Theorem for theBenchmark
% 1.66/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.66/0.58 % (31143)------------------------------
% 1.66/0.58 % (31143)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.66/0.58 % (31143)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.66/0.58 % (31143)Termination reason: Refutation
% 1.66/0.58
% 1.66/0.58 % (31143)Memory used [KB]: 4452
% 1.66/0.58 % (31143)Time elapsed: 0.167 s
% 1.66/0.58 % (31143)Instructions burned: 373 (million)
% 1.66/0.58 % (31143)------------------------------
% 1.66/0.58 % (31143)------------------------------
% 1.66/0.58 % (31141)Success in time 0.222 s
%------------------------------------------------------------------------------