TSTP Solution File: PRO004+3 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO004+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 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 : Tue May 21 02:23:19 EDT 2024
% Result : Theorem 3.78s 0.91s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 45
% Syntax : Number of formulae : 248 ( 77 unt; 0 def)
% Number of atoms : 762 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 798 ( 284 ~; 258 |; 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 : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 533 ( 461 !; 72 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29450,plain,
$false,
inference(subsumption_resolution,[],[f29424,f13693]) ).
fof(f13693,plain,
~ occurrence_of(sK11(sK7(sK5)),tptp3),
inference(unit_resulting_resolution,[],[f278,f13587,f355]) ).
fof(f355,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f105]) ).
fof(f105,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(f13587,plain,
occurrence_of(sK11(sK7(sK5)),tptp1),
inference(unit_resulting_resolution,[],[f503,f6048,f5814,f5815,f305]) ).
fof(f305,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,[],[f223]) ).
fof(f223,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])],[f141,f222]) ).
fof(f222,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(f141,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,[],[f140]) ).
fof(f140,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,[],[f83]) ).
fof(f83,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,[],[f65]) ).
fof(f65,axiom,
! [X168,X169] :
( ( ~ leaf_occ(X168,X169)
& arboreal(X168)
& subactivity_occurrence(X168,X169)
& occurrence_of(X169,tptp0) )
=> ? [X170] :
( next_subocc(X168,X170,tptp0)
& occurrence_of(X170,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_64) ).
fof(f5815,plain,
occurrence_of(sK20(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f5706,f341]) ).
fof(f341,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK20(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,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])],[f252,f253]) ).
fof(f253,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(f252,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f251]) ).
fof(f251,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f204]) ).
fof(f204,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(f5706,plain,
sP2(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0),
inference(unit_resulting_resolution,[],[f5523,f344]) ).
fof(f344,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f155,f204]) ).
fof(f155,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,[],[f98]) ).
fof(f98,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(f5523,plain,
min_precedes(sK7(sK5),sK14(tptp0,sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f628,f800,f314]) ).
fof(f314,plain,
! [X0,X1] :
( ~ root(X1,X0)
| min_precedes(X1,sK14(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,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])],[f230,f232,f231]) ).
fof(f231,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X1,X2,X0)
=> min_precedes(X1,sK14(X0,X1),X0) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X1,X0)
=> min_precedes(sK15(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f230,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,[],[f229]) ).
fof(f229,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,[],[f228]) ).
fof(f228,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,[],[f202]) ).
fof(f202,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(f800,plain,
root(sK7(sK5),tptp0),
inference(superposition,[],[f563,f725]) ).
fof(f725,plain,
tptp0 = sK17(sK7(sK5),sK5),
inference(unit_resulting_resolution,[],[f267,f545,f355]) ).
fof(f545,plain,
occurrence_of(sK5,sK17(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f442,f325]) ).
fof(f325,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK17(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK17(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f242,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK17(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK17(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,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,[],[f241]) ).
fof(f241,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,[],[f90]) ).
fof(f90,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(f442,plain,
root_occ(sK7(sK5),sK5),
inference(unit_resulting_resolution,[],[f400,f285]) ).
fof(f285,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK7(X0),X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( next_subocc(sK7(X0),sK8(X0),tptp0)
& leaf_occ(sK8(X0),X0)
& 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])],[f214,f215]) ).
fof(f215,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& 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),tptp3)
& root_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f400,plain,
sP0(sK5),
inference(unit_resulting_resolution,[],[f267,f289]) ).
fof(f289,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f125,f200]) ).
fof(f125,plain,
! [X0] :
( ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& occurrence_of(X2,tptp3)
& root_occ(X1,X0)
& occurrence_of(X1,tptp4) )
| ~ occurrence_of(X0,tptp0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( occurrence_of(X0,tptp0)
=> ? [X1,X2] :
( next_subocc(X1,X2,tptp0)
& leaf_occ(X2,X0)
& 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,tptp3)
& root_occ(X162,X161)
& occurrence_of(X162,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(f267,plain,
occurrence_of(sK5,tptp0),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
occurrence_of(sK5,tptp0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f69,f210]) ).
fof(f210,plain,
( ? [X0] : occurrence_of(X0,tptp0)
=> occurrence_of(sK5,tptp0) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f68]) ).
fof(f68,plain,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(rectify,[],[f67]) ).
fof(f67,negated_conjecture,
~ ~ ? [X171] : occurrence_of(X171,tptp0),
inference(negated_conjecture,[],[f66]) ).
fof(f66,conjecture,
~ ? [X171] : occurrence_of(X171,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f563,plain,
root(sK7(sK5),sK17(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f442,f327]) ).
fof(f327,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f244]) ).
fof(f628,plain,
~ sP1(tptp0,sK7(sK5)),
inference(unit_resulting_resolution,[],[f626,f313]) ).
fof(f313,plain,
! [X0,X1,X4] :
( ~ min_precedes(X1,X4,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f626,plain,
min_precedes(sK7(sK5),sK8(sK5),tptp0),
inference(unit_resulting_resolution,[],[f624,f356]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ sP4(X0,X1,X2)
| min_precedes(X2,X1,X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,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])],[f261,f262]) ).
fof(f262,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(f261,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,[],[f260]) ).
fof(f260,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,[],[f259]) ).
fof(f259,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,[],[f208]) ).
fof(f208,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(f624,plain,
sP4(tptp0,sK8(sK5),sK7(sK5)),
inference(unit_resulting_resolution,[],[f539,f360]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| sP4(X2,X1,X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,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,[],[f209]) ).
fof(f209,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> sP4(X2,X1,X0) ),
inference(definition_folding,[],[f169,f208]) ).
fof(f169,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,[],[f106]) ).
fof(f106,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(f539,plain,
next_subocc(sK7(sK5),sK8(sK5),tptp0),
inference(unit_resulting_resolution,[],[f400,f288]) ).
fof(f288,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK7(X0),sK8(X0),tptp0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f5814,plain,
subactivity_occurrence(sK7(sK5),sK20(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f5706,f342]) ).
fof(f342,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK20(X0,X1,X2)) ),
inference(cnf_transformation,[],[f254]) ).
fof(f6048,plain,
~ leaf_occ(sK7(sK5),sK20(sK14(tptp0,sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f636,f5815,f381]) ).
fof(f381,plain,
! [X2,X0,X1] :
( ~ sP26(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ leaf_occ(X1,X0) ),
inference(general_splitting,[],[f354,f380_D]) ).
fof(f380,plain,
! [X2,X3,X1] :
( ~ min_precedes(X1,X3,X2)
| sP26(X2,X1) ),
inference(cnf_transformation,[],[f380_D]) ).
fof(f380_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
<=> ~ sP26(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f354,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f104]) ).
fof(f104,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(f636,plain,
sP26(tptp0,sK7(sK5)),
inference(unit_resulting_resolution,[],[f626,f380]) ).
fof(f503,plain,
arboreal(sK7(sK5)),
inference(unit_resulting_resolution,[],[f272,f420,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,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(f420,plain,
occurrence_of(sK7(sK5),tptp4),
inference(unit_resulting_resolution,[],[f400,f284]) ).
fof(f284,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK7(X0),tptp4) ),
inference(cnf_transformation,[],[f216]) ).
fof(f272,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f53]) ).
fof(f53,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(f278,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
fof(f29424,plain,
occurrence_of(sK11(sK7(sK5)),tptp3),
inference(superposition,[],[f25844,f29402]) ).
fof(f29402,plain,
sK11(sK7(sK5)) = sK8(sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f25652,f26712,f26916,f25600,f25843,f393]) ).
fof(f393,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,[],[f375,f392_D]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X2,X0)
| ~ root_occ(X3,X1)
| sP32(X0,X2,X1) ),
inference(cnf_transformation,[],[f392_D]) ).
fof(f392_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(f375,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,[],[f195]) ).
fof(f195,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,[],[f194]) ).
fof(f194,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,[],[f119]) ).
fof(f119,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(f25843,plain,
leaf_occ(sK8(sK12(sK11(sK7(sK5)),tptp0)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f25693,f287]) ).
fof(f287,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK8(X0),X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f25693,plain,
sP0(sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f25652,f289]) ).
fof(f25600,plain,
! [X0] : ~ min_precedes(sK11(sK7(sK5)),X0,tptp0),
inference(unit_resulting_resolution,[],[f25590,f380]) ).
fof(f25590,plain,
~ sP26(tptp0,sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f22264,f25449,f381]) ).
fof(f25449,plain,
leaf_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0)),
inference(subsumption_resolution,[],[f25448,f22264]) ).
fof(f25448,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,[],[f25447,f23068]) ).
fof(f23068,plain,
~ root_occ(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f22015,f22264,f379]) ).
fof(f379,plain,
! [X2,X0,X1] :
( ~ sP25(X2,X1)
| ~ occurrence_of(X0,X2)
| ~ root_occ(X1,X0) ),
inference(general_splitting,[],[f353,f378_D]) ).
fof(f378,plain,
! [X2,X3,X1] :
( ~ min_precedes(X3,X1,X2)
| sP25(X2,X1) ),
inference(cnf_transformation,[],[f378_D]) ).
fof(f378_D,plain,
! [X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
<=> ~ sP25(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f353,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X3,X1,X2)
| ~ root_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,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(f22015,plain,
sP25(tptp0,sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f21991,f378]) ).
fof(f21991,plain,
min_precedes(sK7(sK5),sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f21972,f356]) ).
fof(f21972,plain,
sP4(tptp0,sK11(sK7(sK5)),sK7(sK5)),
inference(unit_resulting_resolution,[],[f21849,f360]) ).
fof(f21849,plain,
next_subocc(sK7(sK5),sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f503,f6048,f5814,f5815,f306]) ).
fof(f306,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,[],[f223]) ).
fof(f25447,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,[],[f25437,f13687]) ).
fof(f13687,plain,
arboreal(sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f271,f13587,f299]) ).
fof(f271,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f56]) ).
fof(f56,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
fof(f25437,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,[],[f22262,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( root_occ(X0,X1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( root_occ(X0,X1)
| 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) )
=> root_occ(X0,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> root_occ(X166,X167) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_63) ).
fof(f22262,plain,
subactivity_occurrence(sK11(sK7(sK5)),sK20(sK11(sK7(sK5)),sK7(sK5),tptp0)),
inference(unit_resulting_resolution,[],[f22005,f343]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK20(X0,X1,X2)) ),
inference(cnf_transformation,[],[f254]) ).
fof(f22005,plain,
sP2(sK11(sK7(sK5)),sK7(sK5),tptp0),
inference(unit_resulting_resolution,[],[f21991,f344]) ).
fof(f22264,plain,
occurrence_of(sK20(sK11(sK7(sK5)),sK7(sK5),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f22005,f341]) ).
fof(f26916,plain,
sP32(tptp0,sK11(sK7(sK5)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f21991,f26876,f392]) ).
fof(f26876,plain,
root_occ(sK7(sK5),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f800,f25652,f26868,f328]) ).
fof(f328,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
fof(f26868,plain,
subactivity_occurrence(sK7(sK5),sK12(sK11(sK7(sK5)),tptp0)),
inference(forward_demodulation,[],[f26851,f23880]) ).
fof(f23880,plain,
sK7(sK5) = sK19(sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f22079,f23848,f23850,f23861,f351]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ earlier(X2,X1)
| earlier(X0,X2)
| earlier(X2,X0)
| X0 = X2
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,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(f23861,plain,
earlier(sK19(sK11(sK7(sK5)),tptp0),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f23779,f318]) ).
fof(f318,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f235]) ).
fof(f235,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,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(f23779,plain,
precedes(sK19(sK11(sK7(sK5)),tptp0),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f22004,f338]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,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(f22004,plain,
min_precedes(sK19(sK11(sK7(sK5)),tptp0),sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f21991,f340]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK19(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,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])],[f154,f249]) ).
fof(f249,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(f154,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,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(f23850,plain,
~ earlier(sK7(sK5),sK19(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f22211,f23789,f320]) ).
fof(f320,plain,
! [X0,X1] :
( ~ earlier(X0,X1)
| ~ legal(X1)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
fof(f23789,plain,
~ precedes(sK7(sK5),sK19(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f21991,f22216,f22004,f374]) ).
fof(f374,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,[],[f193]) ).
fof(f193,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,[],[f192]) ).
fof(f192,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,[],[f118]) ).
fof(f118,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(f22216,plain,
! [X0] : ~ min_precedes(X0,sK19(sK11(sK7(sK5)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f22003,f337]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,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(f22003,plain,
root(sK19(sK11(sK7(sK5)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f21991,f339]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK19(X1,X2),X2) ),
inference(cnf_transformation,[],[f250]) ).
fof(f22211,plain,
legal(sK19(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f22003,f290]) ).
fof(f290,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,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(f23848,plain,
~ earlier(sK19(sK11(sK7(sK5)),tptp0),sK7(sK5)),
inference(unit_resulting_resolution,[],[f569,f23787,f320]) ).
fof(f23787,plain,
~ precedes(sK19(sK11(sK7(sK5)),tptp0),sK7(sK5)),
inference(unit_resulting_resolution,[],[f21991,f801,f22004,f374]) ).
fof(f801,plain,
! [X0] : ~ min_precedes(X0,sK7(sK5),tptp0),
inference(superposition,[],[f568,f725]) ).
fof(f568,plain,
! [X0] : ~ min_precedes(X0,sK7(sK5),sK17(sK7(sK5),sK5)),
inference(unit_resulting_resolution,[],[f563,f337]) ).
fof(f569,plain,
legal(sK7(sK5)),
inference(unit_resulting_resolution,[],[f563,f290]) ).
fof(f22079,plain,
earlier(sK7(sK5),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f22002,f318]) ).
fof(f22002,plain,
precedes(sK7(sK5),sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f21991,f338]) ).
fof(f26851,plain,
subactivity_occurrence(sK19(sK11(sK7(sK5)),tptp0),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f22004,f25652,f26712,f372]) ).
fof(f372,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,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f188]) ).
fof(f188,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,[],[f116]) ).
fof(f116,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(f26712,plain,
subactivity_occurrence(sK11(sK7(sK5)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f25651,f330]) ).
fof(f330,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,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])],[f246,f247]) ).
fof(f247,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(f246,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,[],[f245]) ).
fof(f245,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,[],[f91]) ).
fof(f91,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(f25651,plain,
leaf_occ(sK11(sK7(sK5)),sK12(sK11(sK7(sK5)),tptp0)),
inference(unit_resulting_resolution,[],[f268,f25647,f308]) ).
fof(f308,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| leaf_occ(X0,sK12(X0,X1)) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,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])],[f143,f224]) ).
fof(f224,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(f143,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,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(f25647,plain,
leaf(sK11(sK7(sK5)),tptp0),
inference(unit_resulting_resolution,[],[f25607,f317]) ).
fof(f317,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| leaf(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f148,f202]) ).
fof(f148,plain,
! [X0,X1] :
( leaf(X0,X1)
<=> ( ! [X2] : ~ min_precedes(X0,X2,X1)
& ( ? [X3] : min_precedes(X3,X0,X1)
| root(X0,X1) ) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,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(f25607,plain,
sP1(tptp0,sK11(sK7(sK5))),
inference(unit_resulting_resolution,[],[f21991,f25600,f315]) ).
fof(f315,plain,
! [X3,X0,X1] :
( ~ min_precedes(X3,X1,X0)
| min_precedes(X1,sK14(X0,X1),X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f268,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(f25652,plain,
occurrence_of(sK12(sK11(sK7(sK5)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f268,f25647,f307]) ).
fof(f307,plain,
! [X0,X1] :
( ~ leaf(X0,X1)
| atomic(X1)
| occurrence_of(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f225]) ).
fof(f25844,plain,
occurrence_of(sK8(sK12(sK11(sK7(sK5)),tptp0)),tptp3),
inference(unit_resulting_resolution,[],[f25693,f286]) ).
fof(f286,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK8(X0),tptp3) ),
inference(cnf_transformation,[],[f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO004+3 : TPTP v8.2.0. Released v4.0.0.
% 0.13/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 03:57:23 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (19936)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.36 % (19942)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)
% 0.20/0.37 % (19939)WARNING: value z3 for option sas not known
% 0.20/0.37 % (19937)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (19939)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)
% 0.20/0.37 % (19940)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (19941)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)
% 0.20/0.37 % (19943)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)
% 0.20/0.37 % (19938)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 Detected minimum model sizes of [4]
% 0.20/0.37 Detected maximum model sizes of [max]
% 0.20/0.37 Detected minimum model sizes of [4]
% 0.20/0.37 Detected maximum model sizes of [max]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [4]
% 0.20/0.39 TRYING [5]
% 0.20/0.40 TRYING [5]
% 0.20/0.44 TRYING [6]
% 0.20/0.46 TRYING [6]
% 0.20/0.51 TRYING [7]
% 0.20/0.54 TRYING [7]
% 2.06/0.65 TRYING [8]
% 2.25/0.71 TRYING [8]
% 3.78/0.91 % (19943)First to succeed.
% 3.78/0.91 % (19943)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19936"
% 3.78/0.91 % (19943)Refutation found. Thanks to Tanya!
% 3.78/0.91 % SZS status Theorem for theBenchmark
% 3.78/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/0.92 % (19943)------------------------------
% 3.78/0.92 % (19943)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.78/0.92 % (19943)Termination reason: Refutation
% 3.78/0.92
% 3.78/0.92 % (19943)Memory used [KB]: 10917
% 3.78/0.92 % (19943)Time elapsed: 0.546 s
% 3.78/0.92 % (19943)Instructions burned: 1845 (million)
% 3.78/0.92 % (19936)Success in time 0.556 s
%------------------------------------------------------------------------------