TSTP Solution File: PRO014+3 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PRO014+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 13:40:32 EDT 2024
% Result : Theorem 28.37s 4.74s
% Output : CNFRefutation 28.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 182 ( 14 unt; 0 def)
% Number of atoms : 811 ( 20 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 1039 ( 410 ~; 425 |; 172 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 400 ( 7 sgn 204 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X18] :
( legal(X18)
=> arboreal(X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f11,axiom,
! [X21,X22] :
( precedes(X21,X22)
<=> ( legal(X22)
& earlier(X21,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(f16,axiom,
! [X38,X39,X40] :
( min_precedes(X38,X39,X40)
=> precedes(X38,X39) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
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/sandbox2/benchmark/theBenchmark.p',sos_21) ).
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(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(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(f44,axiom,
! [X138,X139,X140,X141] :
( ( ~ min_precedes(X140,X141,X138)
& arboreal(X140)
& leaf_occ(X141,X139)
& subactivity_occurrence(X140,X139)
& occurrence_of(X139,X138) )
=> X140 = X141 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(f46,axiom,
! [X145,X146] :
( ( ~ atomic(X146)
& leaf(X145,X146) )
=> ? [X147] :
( leaf_occ(X145,X147)
& occurrence_of(X147,X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(f50,axiom,
! [X161,X162] :
( ( ~ leaf_occ(X161,X162)
& arboreal(X161)
& subactivity_occurrence(X161,X162)
& occurrence_of(X162,tptp0) )
=> ? [X163,X164,X165] :
( leaf(X165,tptp0)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X165,tptp1)
| occurrence_of(X165,tptp2) )
& next_subocc(X163,X164,tptp0)
& occurrence_of(X164,tptp4)
& next_subocc(X161,X163,tptp0)
& occurrence_of(X163,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(f52,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(f63,conjecture,
! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168,X169] :
( leaf(X169,tptp0)
& min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f64,negated_conjecture,
~ ! [X166,X167] :
( ( ~ leaf_occ(X166,X167)
& arboreal(X166)
& subactivity_occurrence(X166,X167)
& occurrence_of(X167,tptp0) )
=> ? [X168,X169] :
( leaf(X169,tptp0)
& min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& next_subocc(X166,X168,tptp0)
& occurrence_of(X168,tptp3) ) ),
inference(negated_conjecture,[],[f63]) ).
fof(f72,plain,
! [X0] :
( legal(X0)
=> arboreal(X0) ),
inference(rectify,[],[f9]) ).
fof(f74,plain,
! [X0,X1] :
( precedes(X0,X1)
<=> ( legal(X1)
& earlier(X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f79,plain,
! [X0,X1,X2] :
( min_precedes(X0,X1,X2)
=> precedes(X0,X1) ),
inference(rectify,[],[f16]) ).
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(f86,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(f93,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(f98,plain,
! [X0,X1] :
( leaf_occ(X0,X1)
<=> ? [X2] :
( leaf(X0,X2)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X2) ) ),
inference(rectify,[],[f35]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ( ~ min_precedes(X2,X3,X0)
& arboreal(X2)
& leaf_occ(X3,X1)
& subactivity_occurrence(X2,X1)
& occurrence_of(X1,X0) )
=> X2 = X3 ),
inference(rectify,[],[f44]) ).
fof(f109,plain,
! [X0,X1] :
( ( ~ atomic(X1)
& leaf(X0,X1) )
=> ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f113,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f50]) ).
fof(f114,plain,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( leaf(X3,tptp0)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp1)
| occurrence_of(X3,tptp2) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f64]) ).
fof(f127,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f134,plain,
! [X0,X1,X2] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(ennf_transformation,[],[f79]) ).
fof(f143,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(f144,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,[],[f86]) ).
fof(f153,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,[],[f93]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(flattening,[],[f153]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f107]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(flattening,[],[f178]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f182,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(flattening,[],[f181]) ).
fof(f188,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f189,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f191,plain,
? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(flattening,[],[f190]) ).
fof(f195,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(nnf_transformation,[],[f74]) ).
fof(f196,plain,
! [X0,X1] :
( ( precedes(X0,X1)
| ~ legal(X1)
| ~ earlier(X0,X1) )
& ( ( legal(X1)
& earlier(X0,X1) )
| ~ precedes(X0,X1) ) ),
inference(flattening,[],[f195]) ).
fof(f203,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ? [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) ) )
| ~ leaf(X0,X1) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f204,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ? [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) ) )
| ~ leaf(X0,X1) ) ),
inference(flattening,[],[f203]) ).
fof(f205,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| ? [X2] : min_precedes(X0,X2,X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
& ( ? [X5] : min_precedes(X5,X0,X1)
| root(X0,X1) ) )
| ~ leaf(X0,X1) ) ),
inference(rectify,[],[f204]) ).
fof(f206,plain,
! [X0,X1] :
( ? [X2] : min_precedes(X0,X2,X1)
=> min_precedes(X0,sK5(X0,X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0,X1] :
( ? [X5] : min_precedes(X5,X0,X1)
=> min_precedes(sK6(X0,X1),X0,X1) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0,X1] :
( ( leaf(X0,X1)
| min_precedes(X0,sK5(X0,X1),X1)
| ( ! [X3] : ~ min_precedes(X3,X0,X1)
& ~ root(X0,X1) ) )
& ( ( ! [X4] : ~ min_precedes(X0,X4,X1)
& ( min_precedes(sK6(X0,X1),X0,X1)
| root(X0,X1) ) )
| ~ leaf(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f205,f207,f206]) ).
fof(f209,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f210,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X3] :
( ~ min_precedes(X3,X1,X2)
| ~ min_precedes(X0,X3,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(rectify,[],[f210]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
=> ( min_precedes(sK7(X0,X1,X2),X1,X2)
& min_precedes(X0,sK7(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ( min_precedes(sK7(X0,X1,X2),X1,X2)
& min_precedes(X0,sK7(X0,X1,X2),X2) )
| ~ min_precedes(X0,X1,X2) )
& ( ( ! [X4] :
( ~ min_precedes(X4,X1,X2)
| ~ min_precedes(X0,X4,X2) )
& min_precedes(X0,X1,X2) )
| ~ next_subocc(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f211,f212]) ).
fof(f226,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,[],[f98]) ).
fof(f227,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,[],[f226]) ).
fof(f228,plain,
! [X0,X1] :
( ? [X3] :
( leaf(X0,X3)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,X3) )
=> ( leaf(X0,sK13(X0,X1))
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0,X1] :
( ( leaf_occ(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)) )
| ~ leaf_occ(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f227,f228]) ).
fof(f230,plain,
! [X0,X1] :
( ? [X2] :
( leaf_occ(X0,X2)
& occurrence_of(X2,X1) )
=> ( leaf_occ(X0,sK14(X0,X1))
& occurrence_of(sK14(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X1] :
( ( leaf_occ(X0,sK14(X0,X1))
& occurrence_of(sK14(X0,X1),X1) )
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f182,f230]) ).
fof(f232,plain,
! [X0] :
( ? [X2,X3,X4] :
( leaf(X4,tptp0)
& next_subocc(X3,X4,tptp0)
& ( occurrence_of(X4,tptp1)
| occurrence_of(X4,tptp2) )
& next_subocc(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
=> ( leaf(sK17(X0),tptp0)
& next_subocc(sK16(X0),sK17(X0),tptp0)
& ( occurrence_of(sK17(X0),tptp1)
| occurrence_of(sK17(X0),tptp2) )
& next_subocc(sK15(X0),sK16(X0),tptp0)
& occurrence_of(sK16(X0),tptp4)
& next_subocc(X0,sK15(X0),tptp0)
& occurrence_of(sK15(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
! [X0,X1] :
( ( leaf(sK17(X0),tptp0)
& next_subocc(sK16(X0),sK17(X0),tptp0)
& ( occurrence_of(sK17(X0),tptp1)
| occurrence_of(sK17(X0),tptp2) )
& next_subocc(sK15(X0),sK16(X0),tptp0)
& occurrence_of(sK16(X0),tptp4)
& next_subocc(X0,sK15(X0),tptp0)
& occurrence_of(sK15(X0),tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f189,f232]) ).
fof(f234,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ( ! [X3,X2] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK18,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK18,sK19)
& arboreal(sK18)
& subactivity_occurrence(sK18,sK19)
& occurrence_of(sK19,tptp0) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp1)
& ~ occurrence_of(X3,tptp2) )
| ~ next_subocc(sK18,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(sK18,sK19)
& arboreal(sK18)
& subactivity_occurrence(sK18,sK19)
& occurrence_of(sK19,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19])],[f191,f234]) ).
fof(f247,plain,
! [X0] :
( arboreal(X0)
| ~ legal(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f250,plain,
! [X0,X1] :
( legal(X1)
| ~ precedes(X0,X1) ),
inference(cnf_transformation,[],[f196]) ).
fof(f261,plain,
! [X2,X0,X1] :
( precedes(X0,X1)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f134]) ).
fof(f268,plain,
! [X0,X1,X4] :
( ~ min_precedes(X0,X4,X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f271,plain,
! [X2,X0,X1] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( subactivity_occurrence(X0,X3)
| ~ subactivity_occurrence(X1,X3)
| ~ occurrence_of(X3,X2)
| ~ min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f296,plain,
! [X0,X1] :
( subactivity_occurrence(X0,X1)
| ~ leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f229]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| min_precedes(X2,X3,X0)
| ~ arboreal(X2)
| ~ leaf_occ(X3,X1)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f310,plain,
! [X0,X1] :
( occurrence_of(sK14(X0,X1),X1)
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f311,plain,
! [X0,X1] :
( leaf_occ(X0,sK14(X0,X1))
| atomic(X1)
| ~ leaf(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f315,plain,
! [X0,X1] :
( occurrence_of(sK15(X0),tptp3)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f316,plain,
! [X0,X1] :
( next_subocc(X0,sK15(X0),tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f318,plain,
! [X0,X1] :
( next_subocc(sK15(X0),sK16(X0),tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f319,plain,
! [X0,X1] :
( occurrence_of(sK17(X0),tptp1)
| occurrence_of(sK17(X0),tptp2)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f320,plain,
! [X0,X1] :
( next_subocc(sK16(X0),sK17(X0),tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f321,plain,
! [X0,X1] :
( leaf(sK17(X0),tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f323,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f52]) ).
fof(f334,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f235]) ).
fof(f335,plain,
subactivity_occurrence(sK18,sK19),
inference(cnf_transformation,[],[f235]) ).
fof(f336,plain,
arboreal(sK18),
inference(cnf_transformation,[],[f235]) ).
fof(f337,plain,
~ leaf_occ(sK18,sK19),
inference(cnf_transformation,[],[f235]) ).
fof(f338,plain,
! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp2)
| ~ next_subocc(sK18,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f235]) ).
fof(f339,plain,
! [X2,X3] :
( ~ leaf(X3,tptp0)
| ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(X3,tptp1)
| ~ next_subocc(sK18,X2,tptp0)
| ~ occurrence_of(X2,tptp3) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_60,plain,
( ~ legal(X0)
| arboreal(X0) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_63,plain,
( ~ precedes(X0,X1)
| legal(X1) ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_74,plain,
( ~ min_precedes(X0,X1,X2)
| precedes(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_82,plain,
( ~ min_precedes(X0,X1,X2)
| ~ leaf(X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_87,plain,
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_102,plain,
( ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ subactivity_occurrence(X1,X3)
| subactivity_occurrence(X0,X3) ),
inference(cnf_transformation,[],[f289]) ).
cnf(c_110,plain,
( ~ leaf_occ(X0,X1)
| subactivity_occurrence(X0,X1) ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_120,plain,
( ~ occurrence_of(X0,X1)
| ~ subactivity_occurrence(X2,X0)
| ~ leaf_occ(X3,X0)
| ~ arboreal(X2)
| X2 = X3
| min_precedes(X2,X3,X1) ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_123,plain,
( ~ leaf(X0,X1)
| leaf_occ(X0,sK14(X0,X1))
| atomic(X1) ),
inference(cnf_transformation,[],[f311]) ).
cnf(c_124,plain,
( ~ leaf(X0,X1)
| occurrence_of(sK14(X0,X1),X1)
| atomic(X1) ),
inference(cnf_transformation,[],[f310]) ).
cnf(c_128,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| leaf(sK17(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_129,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| next_subocc(sK16(X0),sK17(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f320]) ).
cnf(c_130,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| occurrence_of(sK17(X0),tptp1)
| occurrence_of(sK17(X0),tptp2)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
cnf(c_131,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| next_subocc(sK15(X0),sK16(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f318]) ).
cnf(c_133,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| next_subocc(X0,sK15(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_134,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| occurrence_of(sK15(X0),tptp3)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_136,plain,
~ atomic(tptp0),
inference(cnf_transformation,[],[f323]) ).
cnf(c_147,negated_conjecture,
( ~ min_precedes(X0,X1,tptp0)
| ~ next_subocc(sK18,X0,tptp0)
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp1)
| ~ leaf(X1,tptp0) ),
inference(cnf_transformation,[],[f339]) ).
cnf(c_148,negated_conjecture,
( ~ min_precedes(X0,X1,tptp0)
| ~ next_subocc(sK18,X0,tptp0)
| ~ occurrence_of(X0,tptp3)
| ~ occurrence_of(X1,tptp2)
| ~ leaf(X1,tptp0) ),
inference(cnf_transformation,[],[f338]) ).
cnf(c_149,negated_conjecture,
~ leaf_occ(sK18,sK19),
inference(cnf_transformation,[],[f337]) ).
cnf(c_150,negated_conjecture,
arboreal(sK18),
inference(cnf_transformation,[],[f336]) ).
cnf(c_151,negated_conjecture,
subactivity_occurrence(sK18,sK19),
inference(cnf_transformation,[],[f335]) ).
cnf(c_152,negated_conjecture,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f334]) ).
cnf(c_830,negated_conjecture,
( ~ min_precedes(X0_13,X1_13,tptp0)
| ~ next_subocc(sK18,X0_13,tptp0)
| ~ occurrence_of(X0_13,tptp3)
| ~ occurrence_of(X1_13,tptp2)
| ~ leaf(X1_13,tptp0) ),
inference(subtyping,[status(esa)],[c_148]) ).
cnf(c_831,negated_conjecture,
( ~ min_precedes(X0_13,X1_13,tptp0)
| ~ next_subocc(sK18,X0_13,tptp0)
| ~ occurrence_of(X0_13,tptp3)
| ~ occurrence_of(X1_13,tptp1)
| ~ leaf(X1_13,tptp0) ),
inference(subtyping,[status(esa)],[c_147]) ).
cnf(c_844,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK15(X0_13),tptp3)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_134]) ).
cnf(c_845,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| next_subocc(X0_13,sK15(X0_13),tptp0)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_133]) ).
cnf(c_847,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| next_subocc(sK15(X0_13),sK16(X0_13),tptp0)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_131]) ).
cnf(c_848,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK17(X0_13),tptp1)
| occurrence_of(sK17(X0_13),tptp2)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_130]) ).
cnf(c_849,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_129]) ).
cnf(c_850,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| leaf(sK17(X0_13),tptp0)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_128]) ).
cnf(c_854,plain,
( ~ leaf(X0_13,X0_14)
| occurrence_of(sK14(X0_13,X0_14),X0_14)
| atomic(X0_14) ),
inference(subtyping,[status(esa)],[c_124]) ).
cnf(c_855,plain,
( ~ leaf(X0_13,X0_14)
| leaf_occ(X0_13,sK14(X0_13,X0_14))
| atomic(X0_14) ),
inference(subtyping,[status(esa)],[c_123]) ).
cnf(c_858,plain,
( ~ occurrence_of(X0_13,X0_14)
| ~ subactivity_occurrence(X1_13,X0_13)
| ~ leaf_occ(X2_13,X0_13)
| ~ arboreal(X1_13)
| X1_13 = X2_13
| min_precedes(X1_13,X2_13,X0_14) ),
inference(subtyping,[status(esa)],[c_120]) ).
cnf(c_868,plain,
( ~ leaf_occ(X0_13,X1_13)
| subactivity_occurrence(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_110]) ).
cnf(c_876,plain,
( ~ min_precedes(X0_13,X1_13,X0_14)
| ~ occurrence_of(X2_13,X0_14)
| ~ subactivity_occurrence(X1_13,X2_13)
| subactivity_occurrence(X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_102]) ).
cnf(c_891,plain,
( ~ next_subocc(X0_13,X1_13,X0_14)
| min_precedes(X0_13,X1_13,X0_14) ),
inference(subtyping,[status(esa)],[c_87]) ).
cnf(c_896,plain,
( ~ min_precedes(X0_13,X1_13,X0_14)
| ~ leaf(X0_13,X0_14) ),
inference(subtyping,[status(esa)],[c_82]) ).
cnf(c_904,plain,
( ~ min_precedes(X0_13,X1_13,X0_14)
| precedes(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_74]) ).
cnf(c_915,plain,
( ~ precedes(X0_13,X1_13)
| legal(X1_13) ),
inference(subtyping,[status(esa)],[c_63]) ).
cnf(c_918,plain,
( ~ legal(X0_13)
| arboreal(X0_13) ),
inference(subtyping,[status(esa)],[c_60]) ).
cnf(c_930,negated_conjecture,
( ~ min_precedes(X0_13,X1_13,tptp0)
| ~ next_subocc(sK18,X0_13,tptp0)
| ~ occurrence_of(X0_13,tptp3)
| ~ occurrence_of(X1_13,tptp1)
| ~ leaf(X1_13,tptp0) ),
inference(demodulation,[status(thm)],[c_831]) ).
cnf(c_931,negated_conjecture,
( ~ min_precedes(X0_13,X1_13,tptp0)
| ~ next_subocc(sK18,X0_13,tptp0)
| ~ occurrence_of(X0_13,tptp3)
| ~ occurrence_of(X1_13,tptp2)
| ~ leaf(X1_13,tptp0) ),
inference(demodulation,[status(thm)],[c_830]) ).
cnf(c_938,plain,
X0_14 = X0_14,
theory(equality) ).
cnf(c_949,plain,
( X0_13 != X1_13
| X0_14 != X1_14
| ~ leaf(X1_13,X1_14)
| leaf(X0_13,X0_14) ),
theory(equality) ).
cnf(c_955,plain,
tptp0 = tptp0,
inference(instantiation,[status(thm)],[c_938]) ).
cnf(c_1744,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK17(X0_13),tptp1)
| occurrence_of(sK17(X0_13),tptp2)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_848]) ).
cnf(c_1745,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| next_subocc(sK15(X0_13),sK16(X0_13),tptp0)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_847]) ).
cnf(c_1747,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| next_subocc(X0_13,sK15(X0_13),tptp0)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_845]) ).
cnf(c_1748,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK15(X0_13),tptp3)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_844]) ).
cnf(c_1749,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| occurrence_of(sK15(sK18),tptp3)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_1748]) ).
cnf(c_1750,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| next_subocc(sK18,sK15(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_1747]) ).
cnf(c_1752,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| next_subocc(sK15(sK18),sK16(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_1745]) ).
cnf(c_1753,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| occurrence_of(sK17(sK18),tptp1)
| occurrence_of(sK17(sK18),tptp2)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_1744]) ).
cnf(c_1755,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_849]) ).
cnf(c_1756,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| next_subocc(sK16(sK18),sK17(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_1755]) ).
cnf(c_1757,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| leaf(sK17(X0_13),tptp0)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_850]) ).
cnf(c_1758,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| leaf(sK17(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_1757]) ).
cnf(c_1826,plain,
( ~ next_subocc(sK15(X0_13),sK16(X0_13),tptp0)
| min_precedes(sK15(X0_13),sK16(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_1827,plain,
( ~ next_subocc(sK15(sK18),sK16(sK18),tptp0)
| min_precedes(sK15(sK18),sK16(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_1826]) ).
cnf(c_1845,plain,
( ~ next_subocc(X0_13,sK15(X0_13),tptp0)
| min_precedes(X0_13,sK15(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_1846,plain,
( ~ next_subocc(sK18,sK15(sK18),tptp0)
| min_precedes(sK18,sK15(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_1845]) ).
cnf(c_1851,plain,
( ~ next_subocc(sK16(X0_13),sK17(X0_13),tptp0)
| min_precedes(sK16(X0_13),sK17(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_891]) ).
cnf(c_1852,plain,
( ~ next_subocc(sK16(sK18),sK17(sK18),tptp0)
| min_precedes(sK16(sK18),sK17(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_1851]) ).
cnf(c_1862,plain,
( ~ leaf(sK17(X0_13),tptp0)
| leaf_occ(sK17(X0_13),sK14(sK17(X0_13),tptp0))
| atomic(tptp0) ),
inference(instantiation,[status(thm)],[c_855]) ).
cnf(c_1863,plain,
( ~ leaf(sK17(X0_13),tptp0)
| occurrence_of(sK14(sK17(X0_13),tptp0),tptp0)
| atomic(tptp0) ),
inference(instantiation,[status(thm)],[c_854]) ).
cnf(c_1866,plain,
( ~ leaf(sK17(sK18),tptp0)
| occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
| atomic(tptp0) ),
inference(instantiation,[status(thm)],[c_1863]) ).
cnf(c_1867,plain,
( ~ leaf(sK17(sK18),tptp0)
| leaf_occ(sK17(sK18),sK14(sK17(sK18),tptp0))
| atomic(tptp0) ),
inference(instantiation,[status(thm)],[c_1862]) ).
cnf(c_2087,plain,
( ~ min_precedes(X0_13,sK15(X0_13),tptp0)
| precedes(X0_13,sK15(X0_13)) ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_2089,plain,
( ~ min_precedes(sK18,sK15(sK18),tptp0)
| precedes(sK18,sK15(sK18)) ),
inference(instantiation,[status(thm)],[c_2087]) ).
cnf(c_2382,plain,
( ~ leaf_occ(sK17(X0_13),sK14(sK17(X0_13),tptp0))
| subactivity_occurrence(sK17(X0_13),sK14(sK17(X0_13),tptp0)) ),
inference(instantiation,[status(thm)],[c_868]) ).
cnf(c_2383,plain,
( ~ leaf_occ(sK17(sK18),sK14(sK17(sK18),tptp0))
| subactivity_occurrence(sK17(sK18),sK14(sK17(sK18),tptp0)) ),
inference(instantiation,[status(thm)],[c_2382]) ).
cnf(c_2731,plain,
( ~ min_precedes(X0_13,sK17(X1_13),tptp0)
| ~ occurrence_of(sK17(X1_13),tptp1)
| ~ leaf(sK17(X1_13),tptp0)
| ~ next_subocc(sK18,X0_13,tptp0)
| ~ occurrence_of(X0_13,tptp3) ),
inference(instantiation,[status(thm)],[c_930]) ).
cnf(c_2736,plain,
( X0_13 != sK17(X1_13)
| X0_14 != tptp0
| ~ leaf(sK17(X1_13),tptp0)
| leaf(X0_13,X0_14) ),
inference(instantiation,[status(thm)],[c_949]) ).
cnf(c_3206,plain,
( ~ min_precedes(sK15(X0_13),sK16(X0_13),tptp0)
| ~ subactivity_occurrence(sK16(X0_13),X1_13)
| ~ occurrence_of(X1_13,tptp0)
| subactivity_occurrence(sK15(X0_13),X1_13) ),
inference(instantiation,[status(thm)],[c_876]) ).
cnf(c_3210,plain,
( ~ min_precedes(sK16(X0_13),sK17(X0_13),tptp0)
| ~ subactivity_occurrence(sK17(X0_13),X1_13)
| ~ occurrence_of(X1_13,tptp0)
| subactivity_occurrence(sK16(X0_13),X1_13) ),
inference(instantiation,[status(thm)],[c_876]) ).
cnf(c_3366,plain,
( ~ precedes(X0_13,sK15(X0_13))
| legal(sK15(X0_13)) ),
inference(instantiation,[status(thm)],[c_915]) ).
cnf(c_3367,plain,
( ~ precedes(sK18,sK15(sK18))
| legal(sK15(sK18)) ),
inference(instantiation,[status(thm)],[c_3366]) ).
cnf(c_3848,plain,
( ~ subactivity_occurrence(sK15(X0_13),X1_13)
| ~ occurrence_of(X1_13,X0_14)
| ~ leaf_occ(X2_13,X1_13)
| ~ arboreal(sK15(X0_13))
| sK15(X0_13) = X2_13
| min_precedes(sK15(X0_13),X2_13,X0_14) ),
inference(instantiation,[status(thm)],[c_858]) ).
cnf(c_4556,plain,
( ~ subactivity_occurrence(sK16(X0_13),sK14(sK17(X1_13),tptp0))
| ~ min_precedes(sK15(X0_13),sK16(X0_13),tptp0)
| ~ occurrence_of(sK14(sK17(X1_13),tptp0),tptp0)
| subactivity_occurrence(sK15(X0_13),sK14(sK17(X1_13),tptp0)) ),
inference(instantiation,[status(thm)],[c_3206]) ).
cnf(c_4557,plain,
( ~ subactivity_occurrence(sK16(sK18),sK14(sK17(sK18),tptp0))
| ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
| ~ min_precedes(sK15(sK18),sK16(sK18),tptp0)
| subactivity_occurrence(sK15(sK18),sK14(sK17(sK18),tptp0)) ),
inference(instantiation,[status(thm)],[c_4556]) ).
cnf(c_4583,plain,
( ~ subactivity_occurrence(sK17(X0_13),sK14(sK17(X1_13),tptp0))
| ~ min_precedes(sK16(X0_13),sK17(X0_13),tptp0)
| ~ occurrence_of(sK14(sK17(X1_13),tptp0),tptp0)
| subactivity_occurrence(sK16(X0_13),sK14(sK17(X1_13),tptp0)) ),
inference(instantiation,[status(thm)],[c_3210]) ).
cnf(c_4584,plain,
( ~ subactivity_occurrence(sK17(sK18),sK14(sK17(sK18),tptp0))
| ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
| ~ min_precedes(sK16(sK18),sK17(sK18),tptp0)
| subactivity_occurrence(sK16(sK18),sK14(sK17(sK18),tptp0)) ),
inference(instantiation,[status(thm)],[c_4583]) ).
cnf(c_4629,plain,
( ~ legal(sK15(X0_13))
| arboreal(sK15(X0_13)) ),
inference(instantiation,[status(thm)],[c_918]) ).
cnf(c_4637,plain,
( ~ legal(sK15(sK18))
| arboreal(sK15(sK18)) ),
inference(instantiation,[status(thm)],[c_4629]) ).
cnf(c_5079,plain,
( ~ min_precedes(sK15(X0_13),sK17(X1_13),tptp0)
| ~ next_subocc(sK18,sK15(X0_13),tptp0)
| ~ occurrence_of(sK17(X1_13),tptp1)
| ~ occurrence_of(sK15(X0_13),tptp3)
| ~ leaf(sK17(X1_13),tptp0) ),
inference(instantiation,[status(thm)],[c_2731]) ).
cnf(c_5080,plain,
( ~ min_precedes(sK15(sK18),sK17(sK18),tptp0)
| ~ next_subocc(sK18,sK15(sK18),tptp0)
| ~ occurrence_of(sK17(sK18),tptp1)
| ~ occurrence_of(sK15(sK18),tptp3)
| ~ leaf(sK17(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_5079]) ).
cnf(c_5085,plain,
( ~ subactivity_occurrence(sK15(X0_13),sK14(sK17(X1_13),tptp0))
| ~ leaf_occ(sK17(X1_13),sK14(sK17(X1_13),tptp0))
| ~ occurrence_of(sK14(sK17(X1_13),tptp0),X0_14)
| ~ arboreal(sK15(X0_13))
| sK15(X0_13) = sK17(X1_13)
| min_precedes(sK15(X0_13),sK17(X1_13),X0_14) ),
inference(instantiation,[status(thm)],[c_3848]) ).
cnf(c_5086,plain,
( ~ subactivity_occurrence(sK15(sK18),sK14(sK17(sK18),tptp0))
| ~ leaf_occ(sK17(sK18),sK14(sK17(sK18),tptp0))
| ~ occurrence_of(sK14(sK17(sK18),tptp0),tptp0)
| ~ arboreal(sK15(sK18))
| sK15(sK18) = sK17(sK18)
| min_precedes(sK15(sK18),sK17(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_5085]) ).
cnf(c_5619,plain,
( ~ min_precedes(sK15(X0_13),X1_13,tptp0)
| ~ leaf(sK15(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_896]) ).
cnf(c_9829,plain,
( sK15(X0_13) != sK17(X1_13)
| X0_14 != tptp0
| ~ leaf(sK17(X1_13),tptp0)
| leaf(sK15(X0_13),X0_14) ),
inference(instantiation,[status(thm)],[c_2736]) ).
cnf(c_9830,plain,
( sK15(sK18) != sK17(sK18)
| tptp0 != tptp0
| ~ leaf(sK17(sK18),tptp0)
| leaf(sK15(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_9829]) ).
cnf(c_10774,plain,
( ~ min_precedes(sK15(X0_13),sK16(X0_13),tptp0)
| ~ leaf(sK15(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_5619]) ).
cnf(c_10775,plain,
( ~ min_precedes(sK15(sK18),sK16(sK18),tptp0)
| ~ leaf(sK15(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_10774]) ).
cnf(c_23410,plain,
( ~ min_precedes(X0_13,sK17(X1_13),tptp0)
| ~ occurrence_of(sK17(X1_13),tptp2)
| ~ leaf(sK17(X1_13),tptp0)
| ~ next_subocc(sK18,X0_13,tptp0)
| ~ occurrence_of(X0_13,tptp3) ),
inference(instantiation,[status(thm)],[c_931]) ).
cnf(c_23627,plain,
( ~ min_precedes(sK15(X0_13),sK17(X1_13),tptp0)
| ~ next_subocc(sK18,sK15(X0_13),tptp0)
| ~ occurrence_of(sK17(X1_13),tptp2)
| ~ occurrence_of(sK15(X0_13),tptp3)
| ~ leaf(sK17(X1_13),tptp0) ),
inference(instantiation,[status(thm)],[c_23410]) ).
cnf(c_23628,plain,
( ~ min_precedes(sK15(sK18),sK17(sK18),tptp0)
| ~ next_subocc(sK18,sK15(sK18),tptp0)
| ~ occurrence_of(sK17(sK18),tptp2)
| ~ occurrence_of(sK15(sK18),tptp3)
| ~ leaf(sK17(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_23627]) ).
cnf(c_23629,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_23628,c_10775,c_9830,c_5086,c_5080,c_4637,c_4584,c_4557,c_3367,c_2383,c_2089,c_1867,c_1866,c_1852,c_1846,c_1827,c_1758,c_1756,c_1753,c_1752,c_1750,c_1749,c_955,c_149,c_136,c_151,c_152,c_150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PRO014+3 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 20 06:28:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 28.37/4.74 % SZS status Started for theBenchmark.p
% 28.37/4.74 % SZS status Theorem for theBenchmark.p
% 28.37/4.74
% 28.37/4.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.37/4.74
% 28.37/4.74 ------ iProver source info
% 28.37/4.74
% 28.37/4.74 git: date: 2024-06-12 09:56:46 +0000
% 28.37/4.74 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 28.37/4.74 git: non_committed_changes: false
% 28.37/4.74
% 28.37/4.74 ------ Parsing...
% 28.37/4.74 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.37/4.74
% 28.37/4.74 ------ Preprocessing...
% 28.37/4.74
% 28.37/4.74 ------ Preprocessing...
% 28.37/4.74
% 28.37/4.74 ------ Preprocessing...
% 28.37/4.74 ------ Proving...
% 28.37/4.74 ------ Problem Properties
% 28.37/4.74
% 28.37/4.74
% 28.37/4.74 clauses 104
% 28.37/4.74 conjectures 6
% 28.37/4.74 EPR 66
% 28.37/4.74 Horn 76
% 28.37/4.74 unary 16
% 28.37/4.74 binary 37
% 28.37/4.74 lits 303
% 28.37/4.74 lits eq 18
% 28.37/4.74 fd_pure 0
% 28.37/4.74 fd_pseudo 0
% 28.37/4.74 fd_cond 0
% 28.37/4.74 fd_pseudo_cond 12
% 28.37/4.74 AC symbols 0
% 28.37/4.74
% 28.37/4.74 ------ Input Options Time Limit: Unbounded
% 28.37/4.74
% 28.37/4.74
% 28.37/4.74 ------
% 28.37/4.74 Current options:
% 28.37/4.74 ------
% 28.37/4.74
% 28.37/4.74
% 28.37/4.74
% 28.37/4.74
% 28.37/4.74 ------ Proving...
% 28.37/4.74
% 28.37/4.74
% 28.37/4.74 % SZS status Theorem for theBenchmark.p
% 28.37/4.74
% 28.37/4.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.37/4.74
% 28.37/4.74
%------------------------------------------------------------------------------