TSTP Solution File: PRO009+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PRO009+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 : n005.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 18:10:28 EDT 2022
% Result : Theorem 1.56s 0.61s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 117 ( 18 unt; 0 def)
% Number of atoms : 425 ( 20 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 497 ( 189 ~; 174 |; 104 &)
% ( 11 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 7 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 188 ( 156 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1569,plain,
$false,
inference(avatar_sat_refutation,[],[f374,f574,f1208,f1232,f1422,f1447,f1568]) ).
fof(f1568,plain,
( ~ spl16_18
| ~ spl16_67
| ~ spl16_71 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1567,plain,
( $false
| ~ spl16_18
| ~ spl16_67
| ~ spl16_71 ),
inference(subsumption_resolution,[],[f1566,f381]) ).
fof(f381,plain,
occurrence_of(sK7(sK14),tptp3),
inference(resolution,[],[f234,f255]) ).
fof(f255,plain,
occurrence_of(sK14,tptp0),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ! [X1,X2] :
( ~ leaf_occ(X2,sK14)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK14) )
& occurrence_of(sK14,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f182,f183]) ).
fof(f183,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ leaf_occ(X2,X0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,X0) )
& occurrence_of(X0,tptp0) )
=> ( ! [X2,X1] :
( ~ leaf_occ(X2,sK14)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK14) )
& occurrence_of(sK14,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
? [X0] :
( ! [X1,X2] :
( ~ leaf_occ(X2,X0)
| ( ~ occurrence_of(X2,tptp1)
& ~ occurrence_of(X2,tptp2) )
| ~ occurrence_of(X1,tptp3)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,X0) )
& occurrence_of(X0,tptp0) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
? [X0] :
( ! [X2,X1] :
( ~ leaf_occ(X1,X0)
| ( ~ occurrence_of(X1,tptp1)
& ~ occurrence_of(X1,tptp2) )
| ~ occurrence_of(X2,tptp3)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,X0) )
& occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
~ ! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X2,X1] :
( ( occurrence_of(X1,tptp2)
| occurrence_of(X1,tptp1) )
& min_precedes(X2,X1,tptp0)
& root_occ(X2,X0)
& leaf_occ(X1,X0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f47]) ).
fof(f47,negated_conjecture,
~ ! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X107,X106] :
( ( occurrence_of(X107,tptp2)
| occurrence_of(X107,tptp1) )
& occurrence_of(X106,tptp3)
& min_precedes(X106,X107,tptp0)
& root_occ(X106,X105)
& leaf_occ(X107,X105) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f46,conjecture,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X107,X106] :
( ( occurrence_of(X107,tptp2)
| occurrence_of(X107,tptp1) )
& occurrence_of(X106,tptp3)
& min_precedes(X106,X107,tptp0)
& root_occ(X106,X105)
& leaf_occ(X107,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f234,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK7(X0),tptp3) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ( occurrence_of(sK9(X0),tptp4)
& ( occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp1) )
& next_subocc(sK9(X0),sK8(X0),tptp0)
& occurrence_of(sK7(X0),tptp3)
& next_subocc(sK7(X0),sK9(X0),tptp0)
& root_occ(sK7(X0),X0)
& leaf_occ(sK8(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9])],[f94,f165]) ).
fof(f165,plain,
! [X0] :
( ? [X1,X2,X3] :
( occurrence_of(X3,tptp4)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) )
& next_subocc(X3,X2,tptp0)
& occurrence_of(X1,tptp3)
& next_subocc(X1,X3,tptp0)
& root_occ(X1,X0)
& leaf_occ(X2,X0) )
=> ( occurrence_of(sK9(X0),tptp4)
& ( occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp1) )
& next_subocc(sK9(X0),sK8(X0),tptp0)
& occurrence_of(sK7(X0),tptp3)
& next_subocc(sK7(X0),sK9(X0),tptp0)
& root_occ(sK7(X0),X0)
& leaf_occ(sK8(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| ? [X1,X2,X3] :
( occurrence_of(X3,tptp4)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) )
& next_subocc(X3,X2,tptp0)
& occurrence_of(X1,tptp3)
& next_subocc(X1,X3,tptp0)
& root_occ(X1,X0)
& leaf_occ(X2,X0) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2,X3] :
( occurrence_of(X3,tptp4)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1) )
& next_subocc(X3,X2,tptp0)
& occurrence_of(X1,tptp3)
& next_subocc(X1,X3,tptp0)
& root_occ(X1,X0)
& leaf_occ(X2,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X101] :
( occurrence_of(X101,tptp0)
=> ? [X102,X104,X103] :
( leaf_occ(X104,X101)
& occurrence_of(X102,tptp3)
& root_occ(X102,X101)
& next_subocc(X102,X103,tptp0)
& next_subocc(X103,X104,tptp0)
& ( occurrence_of(X104,tptp1)
| occurrence_of(X104,tptp2) )
& occurrence_of(X103,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f1566,plain,
( ~ occurrence_of(sK7(sK14),tptp3)
| ~ spl16_18
| ~ spl16_67
| ~ spl16_71 ),
inference(subsumption_resolution,[],[f1565,f318]) ).
fof(f318,plain,
root_occ(sK7(sK14),sK14),
inference(resolution,[],[f232,f255]) ).
fof(f232,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| root_occ(sK7(X0),X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1565,plain,
( ~ root_occ(sK7(sK14),sK14)
| ~ occurrence_of(sK7(sK14),tptp3)
| ~ spl16_18
| ~ spl16_67
| ~ spl16_71 ),
inference(subsumption_resolution,[],[f1564,f1442]) ).
fof(f1442,plain,
( leaf_occ(sK8(sK14),sK14)
| ~ spl16_71 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1441,plain,
( spl16_71
<=> leaf_occ(sK8(sK14),sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_71])]) ).
fof(f1564,plain,
( ~ leaf_occ(sK8(sK14),sK14)
| ~ occurrence_of(sK7(sK14),tptp3)
| ~ root_occ(sK7(sK14),sK14)
| ~ spl16_18
| ~ spl16_67 ),
inference(subsumption_resolution,[],[f1546,f569]) ).
fof(f569,plain,
( occurrence_of(sK8(sK14),tptp2)
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f567,plain,
( spl16_18
<=> occurrence_of(sK8(sK14),tptp2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f1546,plain,
( ~ occurrence_of(sK8(sK14),tptp2)
| ~ occurrence_of(sK7(sK14),tptp3)
| ~ leaf_occ(sK8(sK14),sK14)
| ~ root_occ(sK7(sK14),sK14)
| ~ spl16_67 ),
inference(resolution,[],[f1207,f256]) ).
fof(f256,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(X2,tptp2)
| ~ leaf_occ(X2,sK14)
| ~ root_occ(X1,sK14)
| ~ occurrence_of(X1,tptp3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f1207,plain,
( min_precedes(sK7(sK14),sK8(sK14),tptp0)
| ~ spl16_67 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl16_67
<=> min_precedes(sK7(sK14),sK8(sK14),tptp0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_67])]) ).
fof(f1447,plain,
spl16_71,
inference(avatar_split_clause,[],[f286,f1441]) ).
fof(f286,plain,
leaf_occ(sK8(sK14),sK14),
inference(resolution,[],[f231,f255]) ).
fof(f231,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| leaf_occ(sK8(X0),X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1422,plain,
~ spl16_66,
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| ~ spl16_66 ),
inference(subsumption_resolution,[],[f1264,f367]) ).
fof(f367,plain,
root(sK7(sK14),tptp0),
inference(backward_demodulation,[],[f321,f361]) ).
fof(f361,plain,
tptp0 = sK13(sK7(sK14),sK14),
inference(resolution,[],[f354,f320]) ).
fof(f320,plain,
occurrence_of(sK14,sK13(sK7(sK14),sK14)),
inference(resolution,[],[f318,f250]) ).
fof(f250,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ( occurrence_of(X1,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK13(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f177,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
=> ( occurrence_of(X1,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& root(X0,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X3] :
( occurrence_of(X1,X3)
& subactivity_occurrence(X0,X1)
& root(X0,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2) ) )
& ( ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( occurrence_of(X1,X2)
& subactivity_occurrence(X0,X1)
& root(X0,X2) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X58,X59] :
( root_occ(X58,X59)
<=> ? [X60] :
( occurrence_of(X59,X60)
& subactivity_occurrence(X58,X59)
& root(X58,X60) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
fof(f354,plain,
! [X0] :
( ~ occurrence_of(sK14,X0)
| tptp0 = X0 ),
inference(resolution,[],[f221,f255]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X1,X2)
| X0 = X2
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( X0 = X2
| ~ occurrence_of(X1,X0)
| ~ occurrence_of(X1,X2) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X2,X0] :
( X0 = X1
| ~ occurrence_of(X2,X1)
| ~ occurrence_of(X2,X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ occurrence_of(X2,X0)
| ~ occurrence_of(X2,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ( occurrence_of(X2,X0)
& occurrence_of(X2,X1) )
=> X0 = X1 ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X30,X29,X28] :
( ( occurrence_of(X28,X30)
& occurrence_of(X28,X29) )
=> X29 = X30 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f321,plain,
root(sK7(sK14),sK13(sK7(sK14),sK14)),
inference(resolution,[],[f318,f248]) ).
fof(f248,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f1264,plain,
( ~ root(sK7(sK14),tptp0)
| ~ spl16_66 ),
inference(backward_demodulation,[],[f603,f1203]) ).
fof(f1203,plain,
( sK7(sK14) = sK8(sK14)
| ~ spl16_66 ),
inference(avatar_component_clause,[],[f1201]) ).
fof(f1201,plain,
( spl16_66
<=> sK7(sK14) = sK8(sK14) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_66])]) ).
fof(f603,plain,
~ root(sK8(sK14),tptp0),
inference(resolution,[],[f596,f215]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ min_precedes(X2,X1,X0)
| ~ root(X1,X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ~ root(X1,X0)
| ~ min_precedes(X2,X1,X0) ),
inference(rectify,[],[f127]) ).
fof(f127,plain,
! [X1,X2,X0] :
( ~ root(X2,X1)
| ~ min_precedes(X0,X2,X1) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,plain,
! [X1,X2,X0] :
( min_precedes(X0,X2,X1)
=> ~ root(X2,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X65,X67,X66] :
( min_precedes(X65,X66,X67)
=> ~ root(X66,X67) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f596,plain,
min_precedes(sK9(sK14),sK8(sK14),tptp0),
inference(resolution,[],[f554,f194]) ).
fof(f194,plain,
! [X2,X0,X1] :
( ~ next_subocc(X2,X0,X1)
| min_precedes(X2,X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( next_subocc(X2,X0,X1)
| ( min_precedes(sK0(X0,X1,X2),X0,X1)
& min_precedes(X2,sK0(X0,X1,X2),X1) )
| ~ min_precedes(X2,X0,X1) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X0,X1)
| ~ min_precedes(X2,X4,X1) )
& min_precedes(X2,X0,X1) )
| ~ next_subocc(X2,X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f134,f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X0,X1)
& min_precedes(X2,X3,X1) )
=> ( min_precedes(sK0(X0,X1,X2),X0,X1)
& min_precedes(X2,sK0(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ( next_subocc(X2,X0,X1)
| ? [X3] :
( min_precedes(X3,X0,X1)
& min_precedes(X2,X3,X1) )
| ~ min_precedes(X2,X0,X1) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X0,X1)
| ~ min_precedes(X2,X4,X1) )
& min_precedes(X2,X0,X1) )
| ~ next_subocc(X2,X0,X1) ) ),
inference(rectify,[],[f133]) ).
fof(f133,plain,
! [X0,X1,X2] :
( ( next_subocc(X2,X0,X1)
| ? [X3] :
( min_precedes(X3,X0,X1)
& min_precedes(X2,X3,X1) )
| ~ min_precedes(X2,X0,X1) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X0,X1)
| ~ min_precedes(X2,X3,X1) )
& min_precedes(X2,X0,X1) )
| ~ next_subocc(X2,X0,X1) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ( next_subocc(X2,X0,X1)
| ? [X3] :
( min_precedes(X3,X0,X1)
& min_precedes(X2,X3,X1) )
| ~ min_precedes(X2,X0,X1) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X0,X1)
| ~ min_precedes(X2,X3,X1) )
& min_precedes(X2,X0,X1) )
| ~ next_subocc(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( next_subocc(X2,X0,X1)
<=> ( ! [X3] :
( ~ min_precedes(X3,X0,X1)
| ~ min_precedes(X2,X3,X1) )
& min_precedes(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( next_subocc(X2,X0,X1)
<=> ( min_precedes(X2,X0,X1)
& ~ ? [X3] :
( min_precedes(X3,X0,X1)
& min_precedes(X2,X3,X1) ) ) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X79,X80,X78] :
( ( min_precedes(X78,X79,X80)
& ~ ? [X81] :
( min_precedes(X78,X81,X80)
& min_precedes(X81,X79,X80) ) )
<=> next_subocc(X78,X79,X80) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(f554,plain,
next_subocc(sK9(sK14),sK8(sK14),tptp0),
inference(resolution,[],[f235,f255]) ).
fof(f235,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| next_subocc(sK9(X0),sK8(X0),tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1232,plain,
( ~ spl16_19
| ~ spl16_67 ),
inference(avatar_contradiction_clause,[],[f1231]) ).
fof(f1231,plain,
( $false
| ~ spl16_19
| ~ spl16_67 ),
inference(subsumption_resolution,[],[f1230,f573]) ).
fof(f573,plain,
( occurrence_of(sK8(sK14),tptp1)
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl16_19
<=> occurrence_of(sK8(sK14),tptp1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f1230,plain,
( ~ occurrence_of(sK8(sK14),tptp1)
| ~ spl16_67 ),
inference(subsumption_resolution,[],[f1229,f318]) ).
fof(f1229,plain,
( ~ root_occ(sK7(sK14),sK14)
| ~ occurrence_of(sK8(sK14),tptp1)
| ~ spl16_67 ),
inference(subsumption_resolution,[],[f1228,f381]) ).
fof(f1228,plain,
( ~ occurrence_of(sK7(sK14),tptp3)
| ~ occurrence_of(sK8(sK14),tptp1)
| ~ root_occ(sK7(sK14),sK14)
| ~ spl16_67 ),
inference(subsumption_resolution,[],[f1209,f286]) ).
fof(f1209,plain,
( ~ leaf_occ(sK8(sK14),sK14)
| ~ occurrence_of(sK8(sK14),tptp1)
| ~ root_occ(sK7(sK14),sK14)
| ~ occurrence_of(sK7(sK14),tptp3)
| ~ spl16_67 ),
inference(resolution,[],[f1207,f257]) ).
fof(f257,plain,
! [X2,X1] :
( ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,sK14)
| ~ occurrence_of(X1,tptp3)
| ~ leaf_occ(X2,sK14)
| ~ occurrence_of(X2,tptp1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f1208,plain,
( spl16_66
| spl16_67
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f1199,f349,f1205,f1201]) ).
fof(f349,plain,
( spl16_10
<=> arboreal(sK7(sK14)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f1199,plain,
( min_precedes(sK7(sK14),sK8(sK14),tptp0)
| sK7(sK14) = sK8(sK14)
| ~ spl16_10 ),
inference(resolution,[],[f800,f286]) ).
fof(f800,plain,
( ! [X1] :
( ~ leaf_occ(X1,sK14)
| sK7(sK14) = X1
| min_precedes(sK7(sK14),X1,tptp0) )
| ~ spl16_10 ),
inference(subsumption_resolution,[],[f799,f351]) ).
fof(f351,plain,
( arboreal(sK7(sK14))
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f799,plain,
! [X1] :
( min_precedes(sK7(sK14),X1,tptp0)
| ~ leaf_occ(X1,sK14)
| ~ arboreal(sK7(sK14))
| sK7(sK14) = X1 ),
inference(resolution,[],[f733,f322]) ).
fof(f322,plain,
subactivity_occurrence(sK7(sK14),sK14),
inference(resolution,[],[f318,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f733,plain,
! [X10,X11] :
( ~ subactivity_occurrence(X10,sK14)
| ~ arboreal(X10)
| ~ leaf_occ(X11,sK14)
| min_precedes(X10,X11,tptp0)
| X10 = X11 ),
inference(resolution,[],[f199,f255]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ occurrence_of(X1,X3)
| ~ arboreal(X2)
| ~ leaf_occ(X0,X1)
| min_precedes(X2,X0,X3)
| ~ subactivity_occurrence(X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( ~ subactivity_occurrence(X2,X1)
| min_precedes(X2,X0,X3)
| ~ leaf_occ(X0,X1)
| ~ occurrence_of(X1,X3)
| ~ arboreal(X2)
| X0 = X2 ),
inference(rectify,[],[f102]) ).
fof(f102,plain,
! [X1,X3,X0,X2] :
( ~ subactivity_occurrence(X0,X3)
| min_precedes(X0,X1,X2)
| ~ leaf_occ(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ arboreal(X0)
| X0 = X1 ),
inference(flattening,[],[f101]) ).
fof(f101,plain,
! [X2,X0,X3,X1] :
( X0 = X1
| ~ occurrence_of(X3,X2)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X3)
| min_precedes(X0,X1,X2)
| ~ leaf_occ(X1,X3) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X2,X0,X3,X1] :
( ( occurrence_of(X3,X2)
& arboreal(X0)
& subactivity_occurrence(X0,X3)
& ~ min_precedes(X0,X1,X2)
& leaf_occ(X1,X3) )
=> X0 = X1 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X10,X11,X8,X9] :
( ( leaf_occ(X11,X9)
& arboreal(X10)
& occurrence_of(X9,X8)
& subactivity_occurrence(X10,X9)
& ~ min_precedes(X10,X11,X8) )
=> X10 = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f574,plain,
( spl16_18
| spl16_19 ),
inference(avatar_split_clause,[],[f565,f571,f567]) ).
fof(f565,plain,
( occurrence_of(sK8(sK14),tptp1)
| occurrence_of(sK8(sK14),tptp2) ),
inference(resolution,[],[f236,f255]) ).
fof(f236,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f374,plain,
spl16_10,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f373,plain,
( $false
| spl16_10 ),
inference(subsumption_resolution,[],[f372,f350]) ).
fof(f350,plain,
( ~ arboreal(sK7(sK14))
| spl16_10 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f372,plain,
arboreal(sK7(sK14)),
inference(resolution,[],[f371,f259]) ).
fof(f259,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X43] :
( legal(X43)
=> arboreal(X43) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f371,plain,
legal(sK7(sK14)),
inference(resolution,[],[f367,f214]) ).
fof(f214,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X1,X0] :
( legal(X1)
| ~ root(X1,X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( root(X1,X0)
=> legal(X1) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X54,X53] :
( root(X53,X54)
=> legal(X53) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO009+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 10:26:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (30596)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 % (30588)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)
% 0.19/0.49 % (30588)Refutation not found, incomplete strategy% (30588)------------------------------
% 0.19/0.49 % (30588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (30591)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (30588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (30588)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (30588)Memory used [KB]: 5628
% 0.19/0.50 % (30588)Time elapsed: 0.089 s
% 0.19/0.50 % (30588)Instructions burned: 5 (million)
% 0.19/0.50 % (30588)------------------------------
% 0.19/0.50 % (30588)------------------------------
% 0.19/0.51 % (30595)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 % (30595)Instruction limit reached!
% 0.19/0.51 % (30595)------------------------------
% 0.19/0.51 % (30595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (30595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (30595)Termination reason: Unknown
% 0.19/0.51 % (30595)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (30595)Memory used [KB]: 1023
% 0.19/0.51 % (30595)Time elapsed: 0.003 s
% 0.19/0.51 % (30595)Instructions burned: 2 (million)
% 0.19/0.51 % (30595)------------------------------
% 0.19/0.51 % (30595)------------------------------
% 0.19/0.51 % (30608)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 % (30603)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (30592)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)
% 0.19/0.52 % (30599)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (30616)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.52 % (30589)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 % (30611)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (30613)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (30601)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (30610)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (30604)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (30612)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (30587)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)
% 1.44/0.53 % (30590)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)
% 1.44/0.53 % (30605)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.53 % (30606)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)
% 1.44/0.53 % (30600)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.53 TRYING [4]
% 1.44/0.54 % (30593)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)
% 1.44/0.54 % (30602)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.44/0.54 % (30598)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)
% 1.44/0.54 % (30597)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.54 TRYING [4]
% 1.44/0.54 % (30596)Instruction limit reached!
% 1.44/0.54 % (30596)------------------------------
% 1.44/0.54 % (30596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.54 % (30596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.54 % (30596)Termination reason: Unknown
% 1.44/0.54 % (30596)Termination phase: Saturation
% 1.44/0.54
% 1.44/0.54 % (30596)Memory used [KB]: 1791
% 1.44/0.54 % (30596)Time elapsed: 0.153 s
% 1.44/0.54 % (30596)Instructions burned: 51 (million)
% 1.44/0.54 % (30596)------------------------------
% 1.44/0.54 % (30596)------------------------------
% 1.44/0.54 % (30594)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54 % (30614)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)
% 1.44/0.54 % (30609)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)
% 1.44/0.55 % (30607)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)
% 1.56/0.55 % (30594)Instruction limit reached!
% 1.56/0.55 % (30594)------------------------------
% 1.56/0.55 % (30594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (30594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (30594)Termination reason: Unknown
% 1.56/0.55 % (30594)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (30594)Memory used [KB]: 5756
% 1.56/0.55 % (30594)Time elapsed: 0.154 s
% 1.56/0.55 % (30594)Instructions burned: 8 (million)
% 1.56/0.55 % (30594)------------------------------
% 1.56/0.55 % (30594)------------------------------
% 1.56/0.55 TRYING [4]
% 1.56/0.55 % (30615)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.56/0.58 TRYING [5]
% 1.56/0.59 % (30617)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.56/0.59 % (30589)Instruction limit reached!
% 1.56/0.59 % (30589)------------------------------
% 1.56/0.59 % (30589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.59 % (30589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.59 % (30589)Termination reason: Unknown
% 1.56/0.59 % (30589)Termination phase: Saturation
% 1.56/0.59
% 1.56/0.59 % (30589)Memory used [KB]: 1535
% 1.56/0.59 % (30589)Time elapsed: 0.193 s
% 1.56/0.59 % (30589)Instructions burned: 37 (million)
% 1.56/0.59 % (30589)------------------------------
% 1.56/0.59 % (30589)------------------------------
% 1.56/0.59 TRYING [5]
% 1.56/0.60 % (30593)Instruction limit reached!
% 1.56/0.60 % (30593)------------------------------
% 1.56/0.60 % (30593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.60 % (30593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.60 % (30593)Termination reason: Unknown
% 1.56/0.60 % (30593)Termination phase: Finite model building constraint generation
% 1.56/0.60
% 1.56/0.60 % (30593)Memory used [KB]: 8827
% 1.56/0.60 % (30593)Time elapsed: 0.171 s
% 1.56/0.60 % (30593)Instructions burned: 52 (million)
% 1.56/0.60 % (30593)------------------------------
% 1.56/0.60 % (30593)------------------------------
% 1.56/0.60 TRYING [5]
% 1.56/0.61 % (30591)First to succeed.
% 1.56/0.61 % (30591)Refutation found. Thanks to Tanya!
% 1.56/0.61 % SZS status Theorem for theBenchmark
% 1.56/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.62 % (30591)------------------------------
% 1.56/0.62 % (30591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.62 % (30591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.62 % (30591)Termination reason: Refutation
% 1.56/0.62
% 1.56/0.62 % (30591)Memory used [KB]: 6268
% 1.56/0.62 % (30591)Time elapsed: 0.186 s
% 1.56/0.62 % (30591)Instructions burned: 49 (million)
% 1.56/0.62 % (30591)------------------------------
% 1.56/0.62 % (30591)------------------------------
% 1.56/0.62 % (30586)Success in time 0.259 s
%------------------------------------------------------------------------------