TSTP Solution File: PRO005+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO005+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.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 : Sun May 5 08:47:32 EDT 2024
% Result : Theorem 21.10s 3.39s
% Output : Refutation 21.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 46
% Syntax : Number of formulae : 253 ( 80 unt; 0 def)
% Number of atoms : 778 ( 23 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 812 ( 287 ~; 269 |; 189 &)
% ( 22 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 6 con; 0-3 aty)
% Number of variables : 533 ( 461 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69566,plain,
$false,
inference(subsumption_resolution,[],[f69565,f12745]) ).
fof(f12745,plain,
~ occurrence_of(sK11(sK7(sK5)),tptp3),
inference(unit_resulting_resolution,[],[f273,f12640,f350]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4,X5,X6] :
( ( occurrence_of(X4,X6)
& occurrence_of(X4,X5) )
=> X5 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f12640,plain,
occurrence_of(sK11(sK7(sK5)),tptp1),
inference(unit_resulting_resolution,[],[f487,f5683,f5453,f5454,f300]) ).
fof(f300,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| occurrence_of(sK11(X0),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( next_subocc(X0,sK11(X0),tptp0)
& occurrence_of(sK11(X0),tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f137,f218]) ).
fof(f218,plain,
! [X0] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
=> ( next_subocc(X0,sK11(X0),tptp0)
& occurrence_of(sK11(X0),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168] :
( next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_63) ).
fof(f5454,plain,
occurrence_of(sK20(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f5344,f336]) ).
fof(f336,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK20(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK20(X0,X1,X2))
& subactivity_occurrence(X1,sK20(X0,X1,X2))
& occurrence_of(sK20(X0,X1,X2),X2) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f248,f249]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK20(X0,X1,X2))
& subactivity_occurrence(X1,sK20(X0,X1,X2))
& occurrence_of(sK20(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f247]) ).
fof(f247,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5344,plain,
sP2(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),
inference(unit_resulting_resolution,[],[f5171,f339]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f151,f200]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X69,X70,X71] :
( min_precedes(X70,X71,X69)
=> ? [X72] :
( subactivity_occurrence(X71,X72)
& subactivity_occurrence(X70,X72)
& occurrence_of(X72,X69) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(f5171,plain,
min_precedes(sK7(sK5),sK14(tptp0,sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f610,f763,f309]) ).
fof(f309,plain,
! [X0,X1] :
( ~ root(X1,X0)
| min_precedes(X1,sK14(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| min_precedes(X1,sK14(X0,X1),X0)
| ( ! [X3] : ~ min_precedes(X3,X1,X0)
& ~ root(X1,X0) ) )
& ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
& ( min_precedes(sK15(X0,X1),X1,X0)
| root(X1,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f226,f228,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK14(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK15(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] : min_precedes(X1,X2,X0)
| ( ! [X3] : ~ min_precedes(X3,X1,X0)
& ~ root(X1,X0) ) )
& ( ( ! [X4] : ~ min_precedes(X1,X4,X0)
& ( ? [X5] : min_precedes(X5,X1,X0)
| root(X1,X0) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f224]) ).
fof(f224,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f763,plain,
root(sK7(sK5),tptp0),
inference(superposition,[],[f545,f704]) ).
fof(f704,plain,
tptp0 = sK16(sK7(sK5),sK5),
inference(unit_resulting_resolution,[],[f263,f527,f350]) ).
fof(f527,plain,
occurrence_of(sK5,sK16(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f437,f316]) ).
fof(f316,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK16(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK16(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f234,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK16(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
| ~ root_occ(X0,X1) ) ),
inference(rectify,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ root_occ(X0,X1) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( root_occ(X0,X1)
<=> ? [X2] :
( root(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X99,X100] :
( root_occ(X99,X100)
<=> ? [X101] :
( root(X99,X101)
& subactivity_occurrence(X99,X100)
& occurrence_of(X100,X101) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(f437,plain,
root_occ(sK7(sK5),sK5),
inference(unit_resulting_resolution,[],[f395,f281]) ).
fof(f281,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK7(X0),X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ( next_subocc(sK7(X0),sK8(X0),tptp0)
& leaf_occ(sK8(X0),X0)
& ( occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp3) )
& root_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp4) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f210,f211]) ).
fof(f211,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
=> ( next_subocc(sK7(X0),sK8(X0),tptp0)
& leaf_occ(sK8(X0),X0)
& ( occurrence_of(sK8(X0),tptp2)
| occurrence_of(sK8(X0),tptp3) )
& root_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f395,plain,
sP0(sK5),
inference(unit_resulting_resolution,[],[f263,f285]) ).
fof(f285,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f123,f196]) ).
fof(f123,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& ( occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp3) )
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) ) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X161] :
( occurrence_of(X161,tptp0)
=> ? [X162,X163] :
( next_subocc(X162,X163,tptp0)
& leaf_occ(X163,X161)
& ( occurrence_of(X163,tptp2)
| occurrence_of(X163,tptp3) )
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f263,plain,
occurrence_of(sK5,tptp0),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
occurrence_of(sK5,tptp0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f68,f206]) ).
fof(f206,plain,
( ? [X0] : occurrence_of(X0,tptp0)
=> occurrence_of(sK5,tptp0) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f67]) ).
fof(f67,plain,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(rectify,[],[f66]) ).
fof(f66,negated_conjecture,
~ ~ ? [X169] : occurrence_of(X169,tptp0),
inference(negated_conjecture,[],[f65]) ).
fof(f65,conjecture,
~ ? [X169] : occurrence_of(X169,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f545,plain,
root(sK7(sK5),sK16(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f437,f318]) ).
fof(f318,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK16(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f610,plain,
~ sP1(tptp0,sK7(sK5)),
inference(unit_resulting_resolution,[],[f608,f308]) ).
fof(f308,plain,
! [X0,X1,X4] :
( ~ min_precedes(X1,X4,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f608,plain,
min_precedes(sK7(sK5),sK8(sK5),tptp0),
inference(unit_resulting_resolution,[],[f606,f351]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ( min_precedes(sK23(X0,X1,X2),X1,X0)
& min_precedes(X2,sK23(X0,X1,X2),X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f257,f258]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
=> ( min_precedes(sK23(X0,X1,X2),X1,X0)
& min_precedes(X2,sK23(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1,X2] :
( ( sP4(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X0)
& min_precedes(X2,X3,X0) )
| ~ min_precedes(X2,X1,X0) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X0)
| ~ min_precedes(X2,X4,X0) )
& min_precedes(X2,X1,X0) )
| ~ sP4(X0,X1,X2) ) ),
inference(rectify,[],[f256]) ).
fof(f256,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ? [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) )
| ~ sP4(X2,X1,X0) ) ),
inference(flattening,[],[f255]) ).
fof(f255,plain,
! [X2,X1,X0] :
( ( sP4(X2,X1,X0)
| ? [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) )
| ~ sP4(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X2,X1,X0] :
( sP4(X2,X1,X0)
<=> ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f606,plain,
sP4(tptp0,sK8(sK5),sK7(sK5)),
inference(unit_resulting_resolution,[],[f511,f355]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP4(X2,X1,X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ~ sP4(X2,X1,X0) )
& ( sP4(X2,X1,X0)
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP4(X2,X1,X0) ),
inference(definition_folding,[],[f165,f204]) ).
fof(f165,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,[],[f104]) ).
fof(f104,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/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(f511,plain,
next_subocc(sK7(sK5),sK8(sK5),tptp0),
inference(unit_resulting_resolution,[],[f395,f284]) ).
fof(f284,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK7(X0),sK8(X0),tptp0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f5453,plain,
subactivity_occurrence(sK7(sK5),sK20(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f5344,f337]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK20(X0,X1,X2)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f5683,plain,
~ leaf_occ(sK7(sK5),sK20(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f618,f5454,f376]) ).
fof(f376,plain,
! [X2,X0,X1] :
( ~ sP26(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f349,f375_D]) ).
fof(f375,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP26(X2,X1) ),
inference(cnf_transformation,[],[f375_D]) ).
fof(f375_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP26(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f349,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X113,X114,X115] :
( ( leaf_occ(X114,X113)
& occurrence_of(X113,X115) )
=> ~ ? [X116] : min_precedes(X114,X116,X115) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(f618,plain,
sP26(tptp0,sK7(sK5)),
inference(unit_resulting_resolution,[],[f608,f375]) ).
fof(f487,plain,
arboreal(sK7(sK5)),
inference(unit_resulting_resolution,[],[f267,f415,f295]) ).
fof(f295,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,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/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f415,plain,
occurrence_of(sK7(sK5),tptp4),
inference(unit_resulting_resolution,[],[f395,f280]) ).
fof(f280,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK7(X0),tptp4) ),
inference(cnf_transformation,[],[f212]) ).
fof(f267,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(f273,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
fof(f69565,plain,
occurrence_of(sK11(sK7(sK5)),tptp3),
inference(forward_demodulation,[],[f69564,f27157]) ).
fof(f27157,plain,
sK11(sK7(sK5)) = sK8(sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f23833,f24735,f24941,f23781,f24002,f388]) ).
fof(f388,plain,
! [X2,X0,X1,X4] :
( ~ sP32(X0,X2,X1)
| X2 = X4
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ occurrence_of(X1,X0)
| min_precedes(X2,X4,X0) ),
inference(general_splitting,[],[f370,f387_D]) ).
fof(f387,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1)
| sP32(X0,X2,X1) ),
inference(cnf_transformation,[],[f387_D]) ).
fof(f387_D,plain,
! [X1,X2,X0] :
( ! [X3] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1) )
<=> ~ sP32(X0,X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X4] :
( min_precedes(X2,X4,X0)
| X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( min_precedes(X2,X4,X0)
| X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( min_precedes(X2,X4,X0)
| X2 = X4
| ~ min_precedes(X3,X2,X0)
| ~ subactivity_occurrence(X2,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4] :
( ( X2 != X4
& min_precedes(X3,X2,X0)
& subactivity_occurrence(X2,X1)
& leaf_occ(X4,X1)
& root_occ(X3,X1)
& occurrence_of(X1,X0) )
=> min_precedes(X2,X4,X0) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X156,X157,X158,X159,X160] :
( ( X158 != X160
& min_precedes(X159,X158,X156)
& subactivity_occurrence(X158,X157)
& leaf_occ(X160,X157)
& root_occ(X159,X157)
& occurrence_of(X157,X156) )
=> min_precedes(X158,X160,X156) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(f24002,plain,
leaf_occ(sK8(sK12(sK11(sK7(sK5)),tptp0)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f23874,f283]) ).
fof(f283,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK8(X0),X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f23874,plain,
sP0(sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f23833,f285]) ).
fof(f23781,plain,
! [X0] : ~ min_precedes(sK11(sK7(sK5)),X0,tptp0),
inference(unit_resulting_resolution,[],[f23771,f375]) ).
fof(f23771,plain,
~ sP26(tptp0,sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f20567,f23636,f376]) ).
fof(f23636,plain,
leaf_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0)),
inference(subsumption_resolution,[],[f23635,f20567]) ).
fof(f23635,plain,
( leaf_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0))
| ~ occurrence_of(sK20(sK11(sK7(sK5)),sK7(sK5),tptp0),tptp0) ),
inference(subsumption_resolution,[],[f23634,f21476]) ).
fof(f21476,plain,
~ root_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f20319,f20567,f374]) ).
fof(f374,plain,
! [X2,X0,X1] :
( ~ sP25(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(general_splitting,[],[f348,f373_D]) ).
fof(f373,plain,
! [X2,X3,X1] :
( ~ min_precedes(X3,X1,X2)
| sP25(X2,X1) ),
inference(cnf_transformation,[],[f373_D]) ).
fof(f373_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
<=> ~ sP25(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f348,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( root_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X3,X1,X2) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X117,X118,X119] :
( ( root_occ(X118,X117)
& occurrence_of(X117,X119) )
=> ~ ? [X120] : min_precedes(X120,X118,X119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(f20319,plain,
sP25(tptp0,sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f20295,f373]) ).
fof(f20295,plain,
min_precedes(sK7(sK5),sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f20276,f351]) ).
fof(f20276,plain,
sP4(tptp0,sK11(sK7(sK5)),sK7(sK5)),
inference(unit_resulting_resolution,[],[f20139,f355]) ).
fof(f20139,plain,
next_subocc(sK7(sK5),sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f487,f5683,f5453,f5454,f301]) ).
fof(f301,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| next_subocc(X0,sK11(X0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f23634,plain,
( leaf_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0))
| root_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0))
| ~ occurrence_of(sK20(sK11(sK7(sK5)),sK7(sK5),tptp0),tptp0) ),
inference(subsumption_resolution,[],[f23624,f12738]) ).
fof(f12738,plain,
arboreal(sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f269,f12640,f295]) ).
fof(f269,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
fof(f23624,plain,
( leaf_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0))
| ~ arboreal(sK11(sK7(sK5)))
| root_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0))
| ~ occurrence_of(sK20(sK11(sK7(sK5)),sK7(sK5),tptp0),tptp0) ),
inference(resolution,[],[f20565,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( root_occ(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( root_occ(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> root_occ(X0,X1) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X164,X165] :
( ( ~ leaf_occ(X164,X165)
& arboreal(X164)
& subactivity_occurrence(X164,X165)
& occurrence_of(X165,tptp0) )
=> root_occ(X164,X165) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_62) ).
fof(f20565,plain,
subactivity_occurrence(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f20309,f338]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK20(X0,X1,X2)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f20309,plain,
sP2(sK11(sK7(sK5)),sK7(sK5),tptp0),
inference(unit_resulting_resolution,[],[f20295,f339]) ).
fof(f20567,plain,
occurrence_of(sK20(sK11(sK7(sK5)),sK7(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f20309,f336]) ).
fof(f24941,plain,
sP32(tptp0,sK11(sK7(sK5)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f20295,f24894,f387]) ).
fof(f24894,plain,
root_occ(sK7(sK5),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f763,f23833,f24886,f319]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f236]) ).
fof(f24886,plain,
subactivity_occurrence(sK7(sK5),sK12(sK11(sK7(sK5)),tptp0)),
inference(forward_demodulation,[],[f24869,f22245]) ).
fof(f22245,plain,
sK7(sK5) = sK19(sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f20385,f22213,f22215,f22226,f346]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ earlier(X2,X1)
| earlier(X0,X2)
| earlier(X2,X0)
| X0 = X2
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( earlier(X2,X1)
& earlier(X0,X1) )
=> ( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X13,X14,X15] :
( ( earlier(X15,X14)
& earlier(X13,X14) )
=> ( X13 = X15
| earlier(X13,X15)
| earlier(X15,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f22226,plain,
earlier(sK19(sK11(sK7(sK5)),tptp0),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f22145,f313]) ).
fof(f313,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f231]) ).
fof(f231,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,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/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(f22145,plain,
precedes(sK19(sK11(sK7(sK5)),tptp0),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f20308,f333]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,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/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(f20308,plain,
min_precedes(sK19(sK11(sK7(sK5)),tptp0),sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f20295,f335]) ).
fof(f335,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK19(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ( min_precedes(sK19(X1,X2),X1,X2)
& root(sK19(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f150,f245]) ).
fof(f245,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK19(X1,X2),X1,X2)
& root(sK19(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X31,X32,X33] :
( min_precedes(X31,X32,X33)
=> ? [X34] :
( min_precedes(X34,X32,X33)
& root(X34,X33) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(f22215,plain,
~ earlier(sK7(sK5),sK19(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f20515,f22155,f315]) ).
fof(f315,plain,
! [X0,X1] :
( ~ earlier(X0,X1)
| ~ legal(X1)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f232]) ).
fof(f22155,plain,
~ precedes(sK7(sK5),sK19(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f20295,f20520,f20308,f369]) ).
fof(f369,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X2,X0,X3)
| ~ precedes(X1,X2)
| min_precedes(X1,X2,X3)
| ~ min_precedes(X1,X0,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X2,X0,X3)
| ~ min_precedes(X1,X0,X3) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X2,X0,X3)
| ~ min_precedes(X1,X0,X3) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ( precedes(X1,X2)
& min_precedes(X2,X0,X3)
& min_precedes(X1,X0,X3) )
=> min_precedes(X1,X2,X3) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X52,X53,X54,X55] :
( ( precedes(X53,X54)
& min_precedes(X54,X52,X55)
& min_precedes(X53,X52,X55) )
=> min_precedes(X53,X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(f20520,plain,
! [X0] : ~ min_precedes(X0,sK19(sK11(sK7(sK5)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f20307,f332]) ).
fof(f332,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> ~ root(X1,X2) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X35,X36,X37] :
( min_precedes(X35,X36,X37)
=> ~ root(X36,X37) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(f20307,plain,
root(sK19(sK11(sK7(sK5)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f20295,f334]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK19(X1,X2),X2) ),
inference(cnf_transformation,[],[f246]) ).
fof(f20515,plain,
legal(sK19(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f20307,f286]) ).
fof(f286,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X41,X42] :
( root(X41,X42)
=> legal(X41) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(f22213,plain,
~ earlier(sK19(sK11(sK7(sK5)),tptp0),sK7(sK5)),
inference(unit_resulting_resolution,[],[f551,f22153,f315]) ).
fof(f22153,plain,
~ precedes(sK19(sK11(sK7(sK5)),tptp0),sK7(sK5)),
inference(unit_resulting_resolution,[],[f20295,f764,f20308,f369]) ).
fof(f764,plain,
! [X0] : ~ min_precedes(X0,sK7(sK5),tptp0),
inference(superposition,[],[f550,f704]) ).
fof(f550,plain,
! [X0] : ~ min_precedes(X0,sK7(sK5),sK16(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f545,f332]) ).
fof(f551,plain,
legal(sK7(sK5)),
inference(unit_resulting_resolution,[],[f545,f286]) ).
fof(f20385,plain,
earlier(sK7(sK5),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f20306,f313]) ).
fof(f20306,plain,
precedes(sK7(sK5),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f20295,f333]) ).
fof(f24869,plain,
subactivity_occurrence(sK19(sK11(sK7(sK5)),tptp0),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f20308,f23833,f24735,f367]) ).
fof(f367,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,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f184]) ).
fof(f184,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,[],[f114]) ).
fof(f114,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/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(f24735,plain,
subactivity_occurrence(sK11(sK7(sK5)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f23832,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( leaf_occ(X0,X1)
| ! [X2] :
( ~ leaf(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( leaf(X0,sK18(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK18(X0,X1)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK18(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK18(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,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,[],[f241]) ).
fof(f241,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,[],[f89]) ).
fof(f89,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/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(f23832,plain,
leaf_occ(sK11(sK7(sK5)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f264,f23828,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK12(X0,X1)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0,X1] :
( ( leaf_occ(X0,sK12(X0,X1))
& occurrence_of(sK12(X0,X1),X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f139,f220]) ).
fof(f220,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
=> ( leaf_occ(X0,sK12(X0,X1))
& occurrence_of(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,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/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(f23828,plain,
leaf(sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f23788,f312]) ).
fof(f312,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f144,f198]) ).
fof(f144,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ~ ? [X2] : min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X56,X57] :
( leaf(X56,X57)
<=> ( ~ ? [X59] : min_precedes(X56,X59,X57)
& ( ? [X58] : min_precedes(X58,X56,X57)
| root(X56,X57) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(f23788,plain,
sP1(tptp0,sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f20295,f23781,f310]) ).
fof(f310,plain,
! [X3,X0,X1] :
( ~ min_precedes(X3,X1,X0)
| min_precedes(X1,sK14(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f264,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(f23833,plain,
occurrence_of(sK12(sK11(sK7(sK5)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f264,f23828,f302]) ).
fof(f302,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f221]) ).
fof(f69564,plain,
occurrence_of(sK8(sK12(sK11(sK7(sK5)),tptp0)),tptp3),
inference(subsumption_resolution,[],[f69517,f12744]) ).
fof(f12744,plain,
~ occurrence_of(sK11(sK7(sK5)),tptp2),
inference(unit_resulting_resolution,[],[f272,f12640,f350]) ).
fof(f272,plain,
tptp2 != tptp1,
inference(cnf_transformation,[],[f61]) ).
fof(f61,axiom,
tptp2 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).
fof(f69517,plain,
( occurrence_of(sK11(sK7(sK5)),tptp2)
| occurrence_of(sK8(sK12(sK11(sK7(sK5)),tptp0)),tptp3) ),
inference(superposition,[],[f24005,f27157]) ).
fof(f24005,plain,
( occurrence_of(sK8(sK12(sK11(sK7(sK5)),tptp0)),tptp2)
| occurrence_of(sK8(sK12(sK11(sK7(sK5)),tptp0)),tptp3) ),
inference(resolution,[],[f23874,f282]) ).
fof(f282,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK8(X0),tptp3)
| occurrence_of(sK8(X0),tptp2) ),
inference(cnf_transformation,[],[f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO005+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:37:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (5739)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (5742)WARNING: value z3 for option sas not known
% 0.14/0.37 % (5740)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (5741)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (5743)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (5742)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (5744)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (5745)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (5746)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38 Detected minimum model sizes of [4]
% 0.22/0.38 Detected maximum model sizes of [max]
% 0.22/0.38 Detected minimum model sizes of [4]
% 0.22/0.38 Detected maximum model sizes of [max]
% 0.22/0.38 TRYING [4]
% 0.22/0.38 TRYING [4]
% 0.22/0.40 TRYING [5]
% 0.22/0.40 TRYING [5]
% 0.22/0.44 TRYING [6]
% 0.22/0.47 TRYING [6]
% 1.34/0.53 TRYING [7]
% 1.48/0.56 TRYING [7]
% 2.02/0.67 TRYING [8]
% 2.87/0.75 TRYING [8]
% 4.48/0.98 TRYING [9]
% 5.22/1.11 TRYING [9]
% 7.91/1.47 Detected minimum model sizes of [4]
% 7.91/1.47 Detected maximum model sizes of [max]
% 7.91/1.47 TRYING [4]
% 7.91/1.48 TRYING [5]
% 7.91/1.51 TRYING [6]
% 8.58/1.57 TRYING [7]
% 8.58/1.57 TRYING [10]
% 9.47/1.70 TRYING [8]
% 10.00/1.79 TRYING [10]
% 11.18/1.98 TRYING [9]
% 15.13/2.53 TRYING [10]
% 16.23/2.67 TRYING [11]
% 18.91/3.03 TRYING [11]
% 21.10/3.39 % (5746)First to succeed.
% 21.10/3.39 % (5746)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5739"
% 21.10/3.39 % (5746)Refutation found. Thanks to Tanya!
% 21.10/3.39 % SZS status Theorem for theBenchmark
% 21.10/3.39 % SZS output start Proof for theBenchmark
% See solution above
% 21.10/3.39 % (5746)------------------------------
% 21.10/3.39 % (5746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 21.10/3.39 % (5746)Termination reason: Refutation
% 21.10/3.39
% 21.10/3.39 % (5746)Memory used [KB]: 13822
% 21.10/3.39 % (5746)Time elapsed: 3.018 s
% 21.10/3.39 % (5746)Instructions burned: 12391 (million)
% 21.10/3.39 % (5739)Success in time 3.012 s
%------------------------------------------------------------------------------