TSTP Solution File: PRO003+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PRO003+1 : 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 : n009.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 08:47:30 EDT 2024
% Result : Theorem 128.41s 18.62s
% Output : Refutation 128.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 37
% Syntax : Number of formulae : 236 ( 95 unt; 0 def)
% Number of atoms : 618 ( 30 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 575 ( 193 ~; 182 |; 146 &)
% ( 11 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 401 ( 349 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f154040,plain,
$false,
inference(subsumption_resolution,[],[f152542,f871]) ).
fof(f871,plain,
~ occurrence_of(sK9(sK6(sK4)),tptp3),
inference(unit_resulting_resolution,[],[f205,f861,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ occurrence_of(X0,X2)
| X1 = X2
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,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/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f861,plain,
occurrence_of(sK9(sK6(sK4)),tptp1),
inference(unit_resulting_resolution,[],[f320,f193,f227]) ).
fof(f227,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(sK9(X0),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( next_subocc(X0,sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp1) )
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f106,f160]) ).
fof(f160,plain,
! [X0] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
=> ( next_subocc(X0,sK9(X0),tptp0)
& occurrence_of(sK9(X0),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) )
| ~ root_occ(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2] :
( next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp1) ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X108,X109] :
( ( root_occ(X108,X109)
& occurrence_of(X109,tptp0) )
=> ? [X110] :
( next_subocc(X108,X110,tptp0)
& occurrence_of(X110,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(f193,plain,
occurrence_of(sK4,tptp0),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
occurrence_of(sK4,tptp0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f53,f150]) ).
fof(f150,plain,
( ? [X0] : occurrence_of(X0,tptp0)
=> occurrence_of(sK4,tptp0) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
? [X0] : occurrence_of(X0,tptp0),
inference(flattening,[],[f52]) ).
fof(f52,plain,
~ ~ ? [X0] : occurrence_of(X0,tptp0),
inference(rectify,[],[f51]) ).
fof(f51,negated_conjecture,
~ ~ ? [X111] : occurrence_of(X111,tptp0),
inference(negated_conjecture,[],[f50]) ).
fof(f50,conjecture,
~ ? [X111] : occurrence_of(X111,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f320,plain,
root_occ(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f286,f211]) ).
fof(f211,plain,
! [X0] :
( ~ sP0(X0)
| root_occ(sK6(X0),X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( next_subocc(sK6(X0),sK7(X0),tptp0)
& leaf_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp3)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp4) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f154,f155]) ).
fof(f155,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(sK6(X0),sK7(X0),tptp0)
& leaf_occ(sK7(X0),X0)
& occurrence_of(sK7(X0),tptp3)
& root_occ(sK6(X0),X0)
& occurrence_of(sK6(X0),tptp4) ) ),
introduced(choice_axiom,[]) ).
fof(f154,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,[],[f142]) ).
fof(f142,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(f286,plain,
sP0(sK4),
inference(unit_resulting_resolution,[],[f193,f215]) ).
fof(f215,plain,
! [X0] :
( ~ occurrence_of(X0,tptp0)
| sP0(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( sP0(X0)
| ~ occurrence_of(X0,tptp0) ),
inference(definition_folding,[],[f96,f142]) ).
fof(f96,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,[],[f57]) ).
fof(f57,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,[],[f36]) ).
fof(f36,axiom,
! [X105] :
( occurrence_of(X105,tptp0)
=> ? [X106,X107] :
( next_subocc(X106,X107,tptp0)
& leaf_occ(X107,X105)
& occurrence_of(X107,tptp3)
& root_occ(X106,X105)
& occurrence_of(X106,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(f205,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f152542,plain,
occurrence_of(sK9(sK6(sK4)),tptp3),
inference(superposition,[],[f2665,f152537]) ).
fof(f152537,plain,
sK9(sK6(sK4)) = sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f865,f2509,f4309,f2507,f32149,f71511,f150036,f271]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( ~ subactivity_occurrence(X3,X1)
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| X2 = X3
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X3)
| ~ arboreal(X2)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X3,X1)
& subactivity_occurrence(X2,X1)
& arboreal(X3)
& arboreal(X2)
& occurrence_of(X1,X0) )
=> ( X2 = X3
| min_precedes(X3,X2,X0)
| min_precedes(X2,X3,X0) ) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X79,X80,X81,X82] :
( ( subactivity_occurrence(X82,X80)
& subactivity_occurrence(X81,X80)
& arboreal(X82)
& arboreal(X81)
& occurrence_of(X80,X79) )
=> ( X81 = X82
| min_precedes(X82,X81,X79)
| min_precedes(X81,X82,X79) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(f150036,plain,
~ min_precedes(sK9(sK6(sK4)),sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(superposition,[],[f60463,f149688]) ).
fof(f149688,plain,
sK6(sK4) = sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2509,f4353,f71453,f28696,f149632,f7431]) ).
fof(f7431,plain,
! [X0,X1] :
( ~ subactivity_occurrence(X0,sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))
| min_precedes(X0,sK6(sK4),X1)
| sK6(sK4) = X0
| min_precedes(sK6(sK4),X0,X1)
| ~ arboreal(X0)
| ~ occurrence_of(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0),X1) ),
inference(subsumption_resolution,[],[f7375,f376]) ).
fof(f376,plain,
arboreal(sK6(sK4)),
inference(unit_resulting_resolution,[],[f197,f302,f223]) ).
fof(f223,plain,
! [X0,X1] :
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X16,X17] :
( occurrence_of(X16,X17)
=> ( arboreal(X16)
<=> atomic(X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f302,plain,
occurrence_of(sK6(sK4),tptp4),
inference(unit_resulting_resolution,[],[f286,f210]) ).
fof(f210,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK6(X0),tptp4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f197,plain,
atomic(tptp4),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f7375,plain,
! [X0,X1] :
( min_precedes(sK6(sK4),X0,X1)
| min_precedes(X0,sK6(sK4),X1)
| sK6(sK4) = X0
| ~ subactivity_occurrence(X0,sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))
| ~ arboreal(sK6(sK4))
| ~ arboreal(X0)
| ~ occurrence_of(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0),X1) ),
inference(resolution,[],[f271,f2508]) ).
fof(f2508,plain,
subactivity_occurrence(sK6(sK4),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2437,f257]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X1,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X0,sK17(X0,X1,X2))
& subactivity_occurrence(X1,sK17(X0,X1,X2))
& occurrence_of(sK17(X0,X1,X2),X2) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f184,f185]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
=> ( subactivity_occurrence(X0,sK17(X0,X1,X2))
& subactivity_occurrence(X1,sK17(X0,X1,X2))
& occurrence_of(sK17(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X0,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f183]) ).
fof(f183,plain,
! [X2,X1,X0] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
| ~ sP2(X2,X1,X0) ),
inference(nnf_transformation,[],[f146]) ).
fof(f146,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(f2437,plain,
sP2(sK9(sK6(sK4)),sK6(sK4),tptp0),
inference(unit_resulting_resolution,[],[f2429,f259]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ min_precedes(X1,X2,X0)
| sP2(X2,X1,X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1,X2] :
( sP2(X2,X1,X0)
| ~ min_precedes(X1,X2,X0) ),
inference(definition_folding,[],[f119,f146]) ).
fof(f119,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,[],[f77]) ).
fof(f77,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/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(f2429,plain,
min_precedes(sK6(sK4),sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f2418,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,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(unused_predicate_definition_removal,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( next_subocc(X0,X1,X2)
<=> ( ~ ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X60,X61,X62] :
( next_subocc(X60,X61,X62)
<=> ( ~ ? [X63] :
( min_precedes(X63,X61,X62)
& min_precedes(X60,X63,X62) )
& min_precedes(X60,X61,X62) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f2418,plain,
next_subocc(sK6(sK4),sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f320,f193,f228]) ).
fof(f228,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| next_subocc(X0,sK9(X0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f149632,plain,
! [X0] : ~ min_precedes(X0,sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(forward_demodulation,[],[f149625,f122850]) ).
fof(f122850,plain,
tptp0 = sK14(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(forward_demodulation,[],[f122830,f43051]) ).
fof(f43051,plain,
tptp0 = sK14(sK6(sK4),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(forward_demodulation,[],[f43033,f28922]) ).
fof(f28922,plain,
tptp0 = sK5(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2509,f2673,f267]) ).
fof(f2673,plain,
occurrence_of(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0),sK5(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f2629,f209]) ).
fof(f209,plain,
! [X0] :
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK5(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( occurrence_of(X0,sK5(X0))
& activity(sK5(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f95,f152]) ).
fof(f152,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
=> ( occurrence_of(X0,sK5(X0))
& activity(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
( activity_occurrence(X2)
=> ? [X3] :
( occurrence_of(X2,X3)
& activity(X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2629,plain,
activity_occurrence(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2509,f221]) ).
fof(f221,plain,
! [X0,X1] :
( ~ occurrence_of(X1,X0)
| activity_occurrence(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(f43033,plain,
sK5(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)) = sK14(sK6(sK4),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2673,f4169,f267]) ).
fof(f4169,plain,
occurrence_of(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0),sK14(sK6(sK4),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f3797,f240]) ).
fof(f240,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| occurrence_of(X1,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( root_occ(X0,X1)
| ! [X2] :
( ~ root(X0,X2)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,X2) ) )
& ( ( root(X0,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK14(X0,X1)) )
| ~ root_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f172,f173]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X3] :
( root(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( root(X0,sK14(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK14(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,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,[],[f171]) ).
fof(f171,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,[],[f70]) ).
fof(f70,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/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(f3797,plain,
root_occ(sK6(sK4),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f611,f2509,f2508,f243]) ).
fof(f243,plain,
! [X2,X0,X1] :
( ~ subactivity_occurrence(X0,X1)
| ~ root(X0,X2)
| root_occ(X0,X1)
| ~ occurrence_of(X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
fof(f611,plain,
root(sK6(sK4),tptp0),
inference(superposition,[],[f437,f542]) ).
fof(f542,plain,
tptp0 = sK14(sK6(sK4),sK4),
inference(unit_resulting_resolution,[],[f193,f423,f267]) ).
fof(f423,plain,
occurrence_of(sK4,sK14(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f320,f240]) ).
fof(f437,plain,
root(sK6(sK4),sK14(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f320,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| root(X0,sK14(X0,X1)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f122830,plain,
sK14(sK6(sK4),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)) = sK14(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f4169,f28695,f267]) ).
fof(f28695,plain,
occurrence_of(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0),sK14(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f2666,f240]) ).
fof(f2666,plain,
root_occ(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2627,f211]) ).
fof(f2627,plain,
sP0(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2509,f215]) ).
fof(f149625,plain,
! [X0] : ~ min_precedes(X0,sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK14(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f28694,f252]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| ~ root(X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ~ root(X1,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,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/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(f28694,plain,
root(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK14(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f2666,f242]) ).
fof(f28696,plain,
subactivity_occurrence(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2666,f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ root_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f71453,plain,
! [X0] : ~ min_precedes(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK6(sK4),X0),
inference(unit_resulting_resolution,[],[f71419,f253]) ).
fof(f253,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(f71419,plain,
~ precedes(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK6(sK4)),
inference(unit_resulting_resolution,[],[f612,f43020,f71185,f276]) ).
fof(f276,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,[],[f139]) ).
fof(f139,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,[],[f138]) ).
fof(f138,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,[],[f88]) ).
fof(f88,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/sandbox2/benchmark/theBenchmark.p',sos_20) ).
fof(f71185,plain,
min_precedes(sK6(sK4),sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(superposition,[],[f47366,f71166]) ).
fof(f71166,plain,
sK6(sK4) = sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(forward_demodulation,[],[f71157,f6525]) ).
fof(f6525,plain,
sK6(sK4) = sK16(sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f2447,f3715,f6507,f6509,f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ earlier(X2,X1)
| earlier(X0,X2)
| earlier(X2,X0)
| X0 = X2
| ~ earlier(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2] :
( X0 = X2
| earlier(X0,X2)
| earlier(X2,X0)
| ~ earlier(X2,X1)
| ~ earlier(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,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/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f6509,plain,
~ earlier(sK6(sK4),sK16(sK9(sK6(sK4)),tptp0)),
inference(unit_resulting_resolution,[],[f2482,f6193,f246]) ).
fof(f246,plain,
! [X0,X1] :
( ~ earlier(X0,X1)
| ~ legal(X1)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f6193,plain,
~ precedes(sK6(sK4),sK16(sK9(sK6(sK4)),tptp0)),
inference(unit_resulting_resolution,[],[f2429,f2481,f2436,f276]) ).
fof(f2436,plain,
min_precedes(sK16(sK9(sK6(sK4)),tptp0),sK9(sK6(sK4)),tptp0),
inference(unit_resulting_resolution,[],[f2429,f255]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| min_precedes(sK16(X1,X2),X1,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ( min_precedes(sK16(X1,X2),X1,X2)
& root(sK16(X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f118,f181]) ).
fof(f181,plain,
! [X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
=> ( min_precedes(sK16(X1,X2),X1,X2)
& root(sK16(X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& root(X3,X2) )
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,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/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f2481,plain,
! [X0] : ~ min_precedes(X0,sK16(sK9(sK6(sK4)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f2435,f252]) ).
fof(f2435,plain,
root(sK16(sK9(sK6(sK4)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f2429,f254]) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ min_precedes(X0,X1,X2)
| root(sK16(X1,X2),X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f2482,plain,
legal(sK16(sK9(sK6(sK4)),tptp0)),
inference(unit_resulting_resolution,[],[f2435,f216]) ).
fof(f216,plain,
! [X0,X1] :
( ~ root(X0,X1)
| legal(X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( legal(X0)
| ~ root(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( root(X0,X1)
=> legal(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X41,X42] :
( root(X41,X42)
=> legal(X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(f6507,plain,
~ earlier(sK16(sK9(sK6(sK4)),tptp0),sK6(sK4)),
inference(unit_resulting_resolution,[],[f443,f6192,f246]) ).
fof(f6192,plain,
~ precedes(sK16(sK9(sK6(sK4)),tptp0),sK6(sK4)),
inference(unit_resulting_resolution,[],[f612,f2436,f2429,f276]) ).
fof(f443,plain,
legal(sK6(sK4)),
inference(unit_resulting_resolution,[],[f437,f216]) ).
fof(f3715,plain,
earlier(sK16(sK9(sK6(sK4)),tptp0),sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f3702,f244]) ).
fof(f244,plain,
! [X0,X1] :
( ~ precedes(X0,X1)
| earlier(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f3702,plain,
precedes(sK16(sK9(sK6(sK4)),tptp0),sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f2436,f253]) ).
fof(f2447,plain,
earlier(sK6(sK4),sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f2434,f244]) ).
fof(f2434,plain,
precedes(sK6(sK4),sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f2429,f253]) ).
fof(f71157,plain,
sK16(sK9(sK6(sK4)),tptp0) = sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f2495,f2509,f47418,f5722,f47389,f2481,f71098,f271]) ).
fof(f71098,plain,
subactivity_occurrence(sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2509,f32149,f47366,f275]) ).
fof(f275,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,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f136]) ).
fof(f136,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,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2,X3] :
( ( subactivity_occurrence(X1,X3)
& occurrence_of(X3,X2)
& min_precedes(X0,X1,X2) )
=> subactivity_occurrence(X0,X3) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f47389,plain,
! [X0] : ~ min_precedes(X0,sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f47365,f252]) ).
fof(f47365,plain,
root(sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f43020,f254]) ).
fof(f5722,plain,
subactivity_occurrence(sK16(sK9(sK6(sK4)),tptp0),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2436,f2509,f2507,f275]) ).
fof(f47418,plain,
arboreal(sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0)),
inference(unit_resulting_resolution,[],[f47384,f206]) ).
fof(f206,plain,
! [X0] :
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f47384,plain,
legal(sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0)),
inference(unit_resulting_resolution,[],[f47365,f216]) ).
fof(f2495,plain,
arboreal(sK16(sK9(sK6(sK4)),tptp0)),
inference(unit_resulting_resolution,[],[f2482,f206]) ).
fof(f47366,plain,
min_precedes(sK16(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f43020,f255]) ).
fof(f43020,plain,
min_precedes(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f2663,f269]) ).
fof(f2663,plain,
next_subocc(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f2627,f214]) ).
fof(f214,plain,
! [X0] :
( ~ sP0(X0)
| next_subocc(sK6(X0),sK7(X0),tptp0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f612,plain,
! [X0] : ~ min_precedes(X0,sK6(sK4),tptp0),
inference(superposition,[],[f442,f542]) ).
fof(f442,plain,
! [X0] : ~ min_precedes(X0,sK6(sK4),sK14(sK6(sK4),sK4)),
inference(unit_resulting_resolution,[],[f437,f252]) ).
fof(f4353,plain,
arboreal(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f197,f2667,f223]) ).
fof(f2667,plain,
occurrence_of(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp4),
inference(unit_resulting_resolution,[],[f2627,f210]) ).
fof(f60463,plain,
~ min_precedes(sK9(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp0),
inference(unit_resulting_resolution,[],[f2663,f59724,f270]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( ~ next_subocc(X0,X1,X2)
| ~ min_precedes(X0,X3,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f59724,plain,
min_precedes(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK9(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),tptp0),
inference(unit_resulting_resolution,[],[f28692,f269]) ).
fof(f28692,plain,
next_subocc(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK9(sK6(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),tptp0),
inference(unit_resulting_resolution,[],[f2509,f2666,f228]) ).
fof(f71511,plain,
! [X0] : ~ min_precedes(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK9(sK6(sK4)),X0),
inference(unit_resulting_resolution,[],[f71400,f253]) ).
fof(f71400,plain,
~ precedes(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f71185,f6950]) ).
fof(f6950,plain,
! [X0] :
( ~ min_precedes(sK6(sK4),X0,tptp0)
| ~ precedes(X0,sK9(sK6(sK4))) ),
inference(subsumption_resolution,[],[f6942,f4197]) ).
fof(f4197,plain,
! [X0] :
( ~ min_precedes(X0,sK9(sK6(sK4)),tptp0)
| ~ min_precedes(sK6(sK4),X0,tptp0) ),
inference(resolution,[],[f270,f2418]) ).
fof(f6942,plain,
! [X0] :
( ~ precedes(X0,sK9(sK6(sK4)))
| min_precedes(X0,sK9(sK6(sK4)),tptp0)
| ~ min_precedes(sK6(sK4),X0,tptp0) ),
inference(resolution,[],[f277,f2429]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X0,X2,X3)
| ~ precedes(X1,X2)
| min_precedes(X1,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( min_precedes(X1,X2,X3)
| ~ precedes(X1,X2)
| ~ min_precedes(X0,X2,X3)
| ~ min_precedes(X0,X1,X3) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( precedes(X1,X2)
& min_precedes(X0,X2,X3)
& min_precedes(X0,X1,X3) )
=> min_precedes(X1,X2,X3) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X45,X46,X47,X48] :
( ( precedes(X46,X47)
& min_precedes(X45,X47,X48)
& min_precedes(X45,X46,X48) )
=> min_precedes(X46,X47,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(f32149,plain,
subactivity_occurrence(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f28690,f237]) ).
fof(f237,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( leaf(X0,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK13(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f168,f169]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
=> ( leaf(X0,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f28690,plain,
sP1(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2664,f239]) ).
fof(f239,plain,
! [X0,X1] :
( ~ leaf_occ(X0,X1)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(definition_folding,[],[f114,f144]) ).
fof(f114,plain,
! [X0,X1] :
( ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) )
| ~ leaf_occ(X0,X1) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(unused_predicate_definition_removal,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f35,axiom,
! [X102,X103] :
( leaf_occ(X102,X103)
<=> ? [X104] :
( leaf(X102,X104)
& subactivity_occurrence(X102,X103)
& occurrence_of(X103,X104) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(f2664,plain,
leaf_occ(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2627,f213]) ).
fof(f213,plain,
! [X0] :
( ~ sP0(X0)
| leaf_occ(sK7(X0),X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f2507,plain,
subactivity_occurrence(sK9(sK6(sK4)),sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),
inference(unit_resulting_resolution,[],[f2437,f258]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| subactivity_occurrence(X0,sK17(X0,X1,X2)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f4309,plain,
arboreal(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0))),
inference(unit_resulting_resolution,[],[f198,f2665,f223]) ).
fof(f198,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f40]) ).
fof(f40,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(f2509,plain,
occurrence_of(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0),tptp0),
inference(unit_resulting_resolution,[],[f2437,f256]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| occurrence_of(sK17(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f186]) ).
fof(f865,plain,
arboreal(sK9(sK6(sK4))),
inference(unit_resulting_resolution,[],[f199,f861,f223]) ).
fof(f199,plain,
atomic(tptp1),
inference(cnf_transformation,[],[f42]) ).
fof(f42,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
fof(f2665,plain,
occurrence_of(sK7(sK17(sK9(sK6(sK4)),sK6(sK4),tptp0)),tptp3),
inference(unit_resulting_resolution,[],[f2627,f212]) ).
fof(f212,plain,
! [X0] :
( ~ sP0(X0)
| occurrence_of(sK7(X0),tptp3) ),
inference(cnf_transformation,[],[f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO003+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:36:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (27882)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (27885)WARNING: value z3 for option sas not known
% 0.15/0.38 % (27886)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (27884)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (27883)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (27885)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)
% 0.15/0.38 % (27887)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)
% 0.15/0.38 % (27888)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)
% 0.15/0.38 % (27889)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)
% 0.15/0.38 Detected minimum model sizes of [4]
% 0.15/0.38 Detected minimum model sizes of [4]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [4]
% 0.15/0.40 TRYING [5]
% 0.15/0.40 TRYING [5]
% 0.22/0.43 TRYING [6]
% 0.22/0.44 TRYING [6]
% 0.22/0.49 TRYING [7]
% 0.22/0.52 TRYING [7]
% 1.60/0.59 TRYING [8]
% 2.00/0.64 TRYING [8]
% 2.90/0.84 TRYING [9]
% 4.12/0.93 TRYING [9]
% 7.91/1.48 Detected minimum model sizes of [4]
% 7.91/1.48 Detected maximum model sizes of [max]
% 7.91/1.48 TRYING [4]
% 7.91/1.48 TRYING [5]
% 7.91/1.50 TRYING [6]
% 8.32/1.54 TRYING [7]
% 8.32/1.56 TRYING [10]
% 8.95/1.63 TRYING [8]
% 9.54/1.73 TRYING [10]
% 10.27/1.85 TRYING [9]
% 15.86/2.62 TRYING [10]
% 20.21/3.22 TRYING [11]
% 22.44/3.59 TRYING [11]
% 30.43/4.68 TRYING [11]
% 55.45/8.31 TRYING [12]
% 82.16/12.06 TRYING [12]
% 83.36/12.25 TRYING [12]
% 118.61/17.28 TRYING [13]
% 120.75/17.55 TRYING [13]
% 128.13/18.61 % (27889)First to succeed.
% 128.13/18.61 % (27889)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27882"
% 128.41/18.62 % (27889)Refutation found. Thanks to Tanya!
% 128.41/18.62 % SZS status Theorem for theBenchmark
% 128.41/18.62 % SZS output start Proof for theBenchmark
% See solution above
% 128.41/18.62 % (27889)------------------------------
% 128.41/18.62 % (27889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 128.41/18.62 % (27889)Termination reason: Refutation
% 128.41/18.62
% 128.41/18.62 % (27889)Memory used [KB]: 39017
% 128.41/18.62 % (27889)Time elapsed: 18.234 s
% 128.41/18.62 % (27889)Instructions burned: 79333 (million)
% 128.41/18.62 % (27882)Success in time 17.888 s
%------------------------------------------------------------------------------