TSTP Solution File: PRO018+2 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : PRO018+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 13:40:35 EDT 2024
% Result : Theorem 27.66s 4.69s
% Output : CNFRefutation 27.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 216 ( 39 unt; 0 def)
% Number of atoms : 849 ( 105 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 1027 ( 394 ~; 420 |; 176 &)
% ( 6 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 376 ( 6 sgn 162 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X15,X16,X17] :
( next_subocc(X15,X16,X17)
<=> ( ~ ? [X18] :
( min_precedes(X18,X16,X17)
& min_precedes(X15,X18,X17) )
& min_precedes(X15,X16,X17) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f14,axiom,
! [X40,X41] :
( occurrence_of(X40,X41)
=> ( arboreal(X40)
<=> atomic(X41) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f19,axiom,
! [X52] :
( activity_occurrence(X52)
=> ? [X53] :
( occurrence_of(X52,X53)
& activity(X53) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(f22,axiom,
! [X60,X61,X62] :
( ( leaf_occ(X61,X60)
& occurrence_of(X60,X62) )
=> ~ ? [X63] : min_precedes(X61,X63,X62) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(f23,axiom,
! [X64,X65,X66] :
( ( occurrence_of(X64,X66)
& occurrence_of(X64,X65) )
=> X65 = X66 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(f25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(f30,axiom,
! [X89,X90] :
( occurrence_of(X90,X89)
=> ( activity_occurrence(X90)
& activity(X89) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(f33,axiom,
! [X95,X96] :
( ( ~ leaf_occ(X95,X96)
& arboreal(X95)
& subactivity_occurrence(X95,X96)
& occurrence_of(X96,tptp0) )
=> ? [X97,X98,X99] :
( ! [X100] :
( min_precedes(X97,X100,tptp0)
=> ( X99 = X100
| X98 = X100 ) )
& min_precedes(X98,X99,tptp0)
& ( occurrence_of(X99,tptp2)
| occurrence_of(X99,tptp1) )
& min_precedes(X97,X98,tptp0)
& occurrence_of(X98,tptp4)
& next_subocc(X95,X97,tptp0)
& occurrence_of(X97,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(f39,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(f40,axiom,
tptp3 != tptp4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(f43,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(f44,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_43) ).
fof(f46,conjecture,
! [X101,X102] :
( ( ~ leaf_occ(X101,X102)
& arboreal(X101)
& subactivity_occurrence(X101,X102)
& occurrence_of(X102,tptp0) )
=> ? [X103,X104] :
( ( occurrence_of(X104,tptp2)
=> ~ ? [X106] :
( min_precedes(X103,X106,tptp0)
& occurrence_of(X106,tptp1) ) )
& ( occurrence_of(X104,tptp1)
=> ~ ? [X105] :
( min_precedes(X103,X105,tptp0)
& occurrence_of(X105,tptp2) ) )
& leaf_occ(X104,X102)
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp1) )
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f47,negated_conjecture,
~ ! [X101,X102] :
( ( ~ leaf_occ(X101,X102)
& arboreal(X101)
& subactivity_occurrence(X101,X102)
& occurrence_of(X102,tptp0) )
=> ? [X103,X104] :
( ( occurrence_of(X104,tptp2)
=> ~ ? [X106] :
( min_precedes(X103,X106,tptp0)
& occurrence_of(X106,tptp1) ) )
& ( occurrence_of(X104,tptp1)
=> ~ ? [X105] :
( min_precedes(X103,X105,tptp0)
& occurrence_of(X105,tptp2) ) )
& leaf_occ(X104,X102)
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp1) )
& next_subocc(X101,X103,tptp0)
& occurrence_of(X103,tptp3) ) ),
inference(negated_conjecture,[],[f46]) ).
fof(f51,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,[],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( occurrence_of(X0,X1)
=> ( arboreal(X0)
<=> atomic(X1) ) ),
inference(rectify,[],[f14]) ).
fof(f65,plain,
! [X0] :
( activity_occurrence(X0)
=> ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) ) ),
inference(rectify,[],[f19]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( leaf_occ(X1,X0)
& occurrence_of(X0,X2) )
=> ~ ? [X3] : min_precedes(X1,X3,X2) ),
inference(rectify,[],[f22]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( occurrence_of(X0,X2)
& occurrence_of(X0,X1) )
=> X1 = X2 ),
inference(rectify,[],[f23]) ).
fof(f71,plain,
! [X0,X1,X2] :
( min_precedes(X1,X2,X0)
=> ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) ) ),
inference(rectify,[],[f25]) ).
fof(f76,plain,
! [X0,X1] :
( occurrence_of(X1,X0)
=> ( activity_occurrence(X1)
& activity(X0) ) ),
inference(rectify,[],[f30]) ).
fof(f79,plain,
! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3,X4] :
( ! [X5] :
( min_precedes(X2,X5,tptp0)
=> ( X4 = X5
| X3 = X5 ) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f33]) ).
fof(f80,plain,
~ ! [X0,X1] :
( ( ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) )
=> ? [X2,X3] :
( ( occurrence_of(X3,tptp2)
=> ~ ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) ) )
& ( occurrence_of(X3,tptp1)
=> ~ ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) ) )
& leaf_occ(X3,X1)
& min_precedes(X2,X3,tptp0)
& ( occurrence_of(X3,tptp2)
| occurrence_of(X3,tptp1) )
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) ) ),
inference(rectify,[],[f47]) ).
fof(f91,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,[],[f51]) ).
fof(f99,plain,
! [X0,X1] :
( ( arboreal(X0)
<=> atomic(X1) )
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f104,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
| ~ activity_occurrence(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ! [X3] : ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(ennf_transformation,[],[f69]) ).
fof(f111,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(flattening,[],[f110]) ).
fof(f114,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,[],[f71]) ).
fof(f121,plain,
! [X0,X1] :
( ( activity_occurrence(X1)
& activity(X0) )
| ~ occurrence_of(X1,X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f125,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ! [X5] :
( X4 = X5
| X3 = X5
| ~ min_precedes(X2,X5,tptp0) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(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,[],[f79]) ).
fof(f126,plain,
! [X0,X1] :
( ? [X2,X3,X4] :
( ! [X5] :
( X4 = X5
| X3 = X5
| ~ min_precedes(X2,X5,tptp0) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(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,[],[f125]) ).
fof(f127,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ 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,[],[f80]) ).
fof(f128,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ 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,[],[f127]) ).
fof(f129,plain,
! [X2,X3] :
( ( ? [X5] :
( min_precedes(X2,X5,tptp0)
& occurrence_of(X5,tptp2) )
& occurrence_of(X3,tptp1) )
| ~ sP0(X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f130,plain,
? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ next_subocc(X0,X2,tptp0)
| ~ occurrence_of(X2,tptp3) )
& ~ leaf_occ(X0,X1)
& arboreal(X0)
& subactivity_occurrence(X0,X1)
& occurrence_of(X1,tptp0) ),
inference(definition_folding,[],[f128,f129]) ).
fof(f131,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,[],[f91]) ).
fof(f132,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,[],[f131]) ).
fof(f133,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,[],[f132]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ? [X3] :
( min_precedes(X3,X1,X2)
& min_precedes(X0,X3,X2) )
=> ( min_precedes(sK1(X0,X1,X2),X1,X2)
& min_precedes(X0,sK1(X0,X1,X2),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ( next_subocc(X0,X1,X2)
| ( min_precedes(sK1(X0,X1,X2),X1,X2)
& min_precedes(X0,sK1(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,[sK1])],[f133,f134]) ).
fof(f140,plain,
! [X0,X1] :
( ( ( arboreal(X0)
| ~ atomic(X1) )
& ( atomic(X1)
| ~ arboreal(X0) ) )
| ~ occurrence_of(X0,X1) ),
inference(nnf_transformation,[],[f99]) ).
fof(f151,plain,
! [X0] :
( ? [X1] :
( occurrence_of(X0,X1)
& activity(X1) )
=> ( occurrence_of(X0,sK6(X0))
& activity(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( ( occurrence_of(X0,sK6(X0))
& activity(sK6(X0)) )
| ~ activity_occurrence(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f104,f151]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ? [X3] :
( subactivity_occurrence(X2,X3)
& subactivity_occurrence(X1,X3)
& occurrence_of(X3,X0) )
=> ( subactivity_occurrence(X2,sK8(X0,X1,X2))
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& occurrence_of(sK8(X0,X1,X2),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( subactivity_occurrence(X2,sK8(X0,X1,X2))
& subactivity_occurrence(X1,sK8(X0,X1,X2))
& occurrence_of(sK8(X0,X1,X2),X0) )
| ~ min_precedes(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f114,f155]) ).
fof(f165,plain,
! [X0] :
( ? [X2,X3,X4] :
( ! [X5] :
( X4 = X5
| X3 = X5
| ~ min_precedes(X2,X5,tptp0) )
& min_precedes(X3,X4,tptp0)
& ( occurrence_of(X4,tptp2)
| occurrence_of(X4,tptp1) )
& min_precedes(X2,X3,tptp0)
& occurrence_of(X3,tptp4)
& next_subocc(X0,X2,tptp0)
& occurrence_of(X2,tptp3) )
=> ( ! [X5] :
( sK16(X0) = X5
| sK15(X0) = X5
| ~ min_precedes(sK14(X0),X5,tptp0) )
& min_precedes(sK15(X0),sK16(X0),tptp0)
& ( occurrence_of(sK16(X0),tptp2)
| occurrence_of(sK16(X0),tptp1) )
& min_precedes(sK14(X0),sK15(X0),tptp0)
& occurrence_of(sK15(X0),tptp4)
& next_subocc(X0,sK14(X0),tptp0)
& occurrence_of(sK14(X0),tptp3) ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0,X1] :
( ( ! [X5] :
( sK16(X0) = X5
| sK15(X0) = X5
| ~ min_precedes(sK14(X0),X5,tptp0) )
& min_precedes(sK15(X0),sK16(X0),tptp0)
& ( occurrence_of(sK16(X0),tptp2)
| occurrence_of(sK16(X0),tptp1) )
& min_precedes(sK14(X0),sK15(X0),tptp0)
& occurrence_of(sK15(X0),tptp4)
& next_subocc(X0,sK14(X0),tptp0)
& occurrence_of(sK14(X0),tptp3) )
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f126,f165]) ).
fof(f171,plain,
( ? [X0,X1] :
( ! [X2,X3] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ 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] :
( ( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,sK19)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ 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(f172,plain,
! [X2] :
( ? [X4] :
( min_precedes(X2,X4,tptp0)
& occurrence_of(X4,tptp1) )
=> ( min_precedes(X2,sK20(X2),tptp0)
& occurrence_of(sK20(X2),tptp1) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( ! [X2,X3] :
( ( min_precedes(X2,sK20(X2),tptp0)
& occurrence_of(sK20(X2),tptp1)
& occurrence_of(X3,tptp2) )
| sP0(X2,X3)
| ~ leaf_occ(X3,sK19)
| ~ min_precedes(X2,X3,tptp0)
| ( ~ occurrence_of(X3,tptp2)
& ~ occurrence_of(X3,tptp1) )
| ~ 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,sK20])],[f130,f172,f171]) ).
fof(f178,plain,
! [X2,X0,X1] :
( min_precedes(X0,X1,X2)
| ~ next_subocc(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f196,plain,
! [X0,X1] :
( arboreal(X0)
| ~ atomic(X1)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f208,plain,
! [X0] :
( occurrence_of(X0,sK6(X0))
| ~ activity_occurrence(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( ~ min_precedes(X1,X3,X2)
| ~ leaf_occ(X1,X0)
| ~ occurrence_of(X0,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f213,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ occurrence_of(X0,X2)
| ~ occurrence_of(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f216,plain,
! [X2,X0,X1] :
( occurrence_of(sK8(X0,X1,X2),X0)
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f217,plain,
! [X2,X0,X1] :
( subactivity_occurrence(X1,sK8(X0,X1,X2))
| ~ min_precedes(X1,X2,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f229,plain,
! [X0,X1] :
( activity_occurrence(X1)
| ~ occurrence_of(X1,X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f233,plain,
! [X0,X1] :
( occurrence_of(sK14(X0),tptp3)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f234,plain,
! [X0,X1] :
( next_subocc(X0,sK14(X0),tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f235,plain,
! [X0,X1] :
( occurrence_of(sK15(X0),tptp4)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f236,plain,
! [X0,X1] :
( min_precedes(sK14(X0),sK15(X0),tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f237,plain,
! [X0,X1] :
( occurrence_of(sK16(X0),tptp2)
| occurrence_of(sK16(X0),tptp1)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f239,plain,
! [X0,X1,X5] :
( sK16(X0) = X5
| sK15(X0) = X5
| ~ min_precedes(sK14(X0),X5,tptp0)
| leaf_occ(X0,X1)
| ~ arboreal(X0)
| ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f245,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f39]) ).
fof(f246,plain,
tptp3 != tptp4,
inference(cnf_transformation,[],[f40]) ).
fof(f249,plain,
tptp3 != tptp1,
inference(cnf_transformation,[],[f43]) ).
fof(f250,plain,
tptp3 != tptp2,
inference(cnf_transformation,[],[f44]) ).
fof(f255,plain,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f173]) ).
fof(f256,plain,
subactivity_occurrence(sK18,sK19),
inference(cnf_transformation,[],[f173]) ).
fof(f257,plain,
arboreal(sK18),
inference(cnf_transformation,[],[f173]) ).
fof(f258,plain,
~ leaf_occ(sK18,sK19),
inference(cnf_transformation,[],[f173]) ).
cnf(c_56,plain,
( ~ next_subocc(X0,X1,X2)
| min_precedes(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_70,plain,
( ~ occurrence_of(X0,X1)
| ~ atomic(X1)
| arboreal(X0) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_82,plain,
( ~ activity_occurrence(X0)
| occurrence_of(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f208]) ).
cnf(c_87,negated_conjecture,
( ~ min_precedes(X0,X1,X2)
| ~ occurrence_of(X3,X2)
| ~ leaf_occ(X0,X3) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_88,plain,
( ~ occurrence_of(X0,X1)
| ~ occurrence_of(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_92,plain,
( ~ min_precedes(X0,X1,X2)
| subactivity_occurrence(X0,sK8(X2,X0,X1)) ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_93,plain,
( ~ min_precedes(X0,X1,X2)
| occurrence_of(sK8(X2,X0,X1),X2) ),
inference(cnf_transformation,[],[f216]) ).
cnf(c_103,plain,
( ~ occurrence_of(X0,X1)
| activity_occurrence(X0) ),
inference(cnf_transformation,[],[f229]) ).
cnf(c_108,plain,
( ~ min_precedes(sK14(X0),X1,tptp0)
| ~ subactivity_occurrence(X0,X2)
| ~ occurrence_of(X2,tptp0)
| ~ arboreal(X0)
| sK16(X0) = X1
| sK15(X0) = X1
| leaf_occ(X0,X2) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_110,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| occurrence_of(sK16(X0),tptp2)
| occurrence_of(sK16(X0),tptp1)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_111,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| min_precedes(sK14(X0),sK15(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f236]) ).
cnf(c_112,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| occurrence_of(sK15(X0),tptp4)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
cnf(c_113,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| next_subocc(X0,sK14(X0),tptp0)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f234]) ).
cnf(c_114,plain,
( ~ subactivity_occurrence(X0,X1)
| ~ occurrence_of(X1,tptp0)
| ~ arboreal(X0)
| occurrence_of(sK14(X0),tptp3)
| leaf_occ(X0,X1) ),
inference(cnf_transformation,[],[f233]) ).
cnf(c_120,plain,
atomic(tptp3),
inference(cnf_transformation,[],[f245]) ).
cnf(c_121,negated_conjecture,
tptp4 != tptp3,
inference(cnf_transformation,[],[f246]) ).
cnf(c_124,negated_conjecture,
tptp1 != tptp3,
inference(cnf_transformation,[],[f249]) ).
cnf(c_125,negated_conjecture,
tptp2 != tptp3,
inference(cnf_transformation,[],[f250]) ).
cnf(c_135,negated_conjecture,
~ leaf_occ(sK18,sK19),
inference(cnf_transformation,[],[f258]) ).
cnf(c_136,negated_conjecture,
arboreal(sK18),
inference(cnf_transformation,[],[f257]) ).
cnf(c_137,negated_conjecture,
subactivity_occurrence(sK18,sK19),
inference(cnf_transformation,[],[f256]) ).
cnf(c_138,negated_conjecture,
occurrence_of(sK19,tptp0),
inference(cnf_transformation,[],[f255]) ).
cnf(c_244,negated_conjecture,
subactivity_occurrence(sK18,sK19),
inference(subtyping,[status(esa)],[c_137]) ).
cnf(c_256,negated_conjecture,
tptp2 != tptp3,
inference(subtyping,[status(esa)],[c_125]) ).
cnf(c_257,negated_conjecture,
tptp1 != tptp3,
inference(subtyping,[status(esa)],[c_124]) ).
cnf(c_260,negated_conjecture,
tptp4 != tptp3,
inference(subtyping,[status(esa)],[c_121]) ).
cnf(c_267,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK14(X0_13),tptp3)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_114]) ).
cnf(c_268,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| next_subocc(X0_13,sK14(X0_13),tptp0)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_113]) ).
cnf(c_269,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK15(X0_13),tptp4)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_112]) ).
cnf(c_270,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| min_precedes(sK14(X0_13),sK15(X0_13),tptp0)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_111]) ).
cnf(c_271,plain,
( ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK16(X0_13),tptp2)
| occurrence_of(sK16(X0_13),tptp1)
| leaf_occ(X0_13,X1_13) ),
inference(subtyping,[status(esa)],[c_110]) ).
cnf(c_273,plain,
( ~ min_precedes(sK14(X0_13),X1_13,tptp0)
| ~ subactivity_occurrence(X0_13,X2_13)
| ~ occurrence_of(X2_13,tptp0)
| ~ arboreal(X0_13)
| sK16(X0_13) = X1_13
| sK15(X0_13) = X1_13
| leaf_occ(X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_108]) ).
cnf(c_278,plain,
( ~ occurrence_of(X0_13,X0_14)
| activity_occurrence(X0_13) ),
inference(subtyping,[status(esa)],[c_103]) ).
cnf(c_288,plain,
( ~ min_precedes(X0_13,X1_13,X0_14)
| occurrence_of(sK8(X0_14,X0_13,X1_13),X0_14) ),
inference(subtyping,[status(esa)],[c_93]) ).
cnf(c_289,plain,
( ~ min_precedes(X0_13,X1_13,X0_14)
| subactivity_occurrence(X0_13,sK8(X0_14,X0_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_92]) ).
cnf(c_293,plain,
( ~ occurrence_of(X0_13,X0_14)
| ~ occurrence_of(X0_13,X1_14)
| X0_14 = X1_14 ),
inference(subtyping,[status(esa)],[c_88]) ).
cnf(c_294,negated_conjecture,
( ~ min_precedes(X0_13,X1_13,X0_14)
| ~ occurrence_of(X2_13,X0_14)
| ~ leaf_occ(X0_13,X2_13) ),
inference(subtyping,[status(esa)],[c_87]) ).
cnf(c_299,plain,
( ~ activity_occurrence(X0_13)
| occurrence_of(X0_13,sK6(X0_13)) ),
inference(subtyping,[status(esa)],[c_82]) ).
cnf(c_311,plain,
( ~ occurrence_of(X0_13,X0_14)
| ~ atomic(X0_14)
| arboreal(X0_13) ),
inference(subtyping,[status(esa)],[c_70]) ).
cnf(c_325,plain,
( ~ next_subocc(X0_13,X1_13,X0_14)
| min_precedes(X0_13,X1_13,X0_14) ),
inference(subtyping,[status(esa)],[c_56]) ).
cnf(c_338,negated_conjecture,
( ~ min_precedes(X0_13,X1_13,X0_14)
| ~ occurrence_of(X2_13,X0_14)
| ~ leaf_occ(X0_13,X2_13) ),
inference(demodulation,[status(thm)],[c_294]) ).
cnf(c_340,negated_conjecture,
tptp4 != tptp3,
inference(demodulation,[status(thm)],[c_260]) ).
cnf(c_343,negated_conjecture,
tptp1 != tptp3,
inference(demodulation,[status(thm)],[c_257]) ).
cnf(c_344,negated_conjecture,
tptp2 != tptp3,
inference(demodulation,[status(thm)],[c_256]) ).
cnf(c_353,negated_conjecture,
subactivity_occurrence(sK18,sK19),
inference(demodulation,[status(thm)],[c_244]) ).
cnf(c_357,plain,
X0_14 = X0_14,
theory(equality) ).
cnf(c_359,plain,
( X0_14 != X1_14
| X2_14 != X1_14
| X2_14 = X0_14 ),
theory(equality) ).
cnf(c_363,plain,
( X0_13 != X1_13
| X0_14 != X1_14
| ~ occurrence_of(X1_13,X1_14)
| occurrence_of(X0_13,X0_14) ),
theory(equality) ).
cnf(c_488,plain,
( tptp2 != X0_14
| tptp3 != X0_14
| tptp2 = tptp3 ),
inference(instantiation,[status(thm)],[c_359]) ).
cnf(c_498,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK14(X0_13),tptp3)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_499,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| occurrence_of(sK14(sK18),tptp3)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_498]) ).
cnf(c_500,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| occurrence_of(sK15(X0_13),tptp4)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_269]) ).
cnf(c_501,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| occurrence_of(sK15(sK18),tptp4)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_500]) ).
cnf(c_503,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| next_subocc(X0_13,sK14(X0_13),tptp0)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_504,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| next_subocc(sK18,sK14(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_503]) ).
cnf(c_505,plain,
( ~ subactivity_occurrence(X0_13,sK19)
| ~ occurrence_of(sK19,tptp0)
| ~ arboreal(X0_13)
| min_precedes(sK14(X0_13),sK15(X0_13),tptp0)
| leaf_occ(X0_13,sK19) ),
inference(instantiation,[status(thm)],[c_270]) ).
cnf(c_506,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ subactivity_occurrence(sK18,sK19)
| ~ arboreal(sK18)
| min_precedes(sK14(sK18),sK15(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(instantiation,[status(thm)],[c_505]) ).
cnf(c_608,plain,
( ~ occurrence_of(sK14(X0_13),X0_14)
| ~ occurrence_of(sK14(X0_13),tptp3)
| X0_14 = tptp3 ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_614,plain,
( ~ occurrence_of(sK14(X0_13),tptp3)
| activity_occurrence(sK14(X0_13)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_615,plain,
( ~ occurrence_of(sK14(sK18),tptp3)
| activity_occurrence(sK14(sK18)) ),
inference(instantiation,[status(thm)],[c_614]) ).
cnf(c_661,plain,
( ~ next_subocc(X0_13,sK14(X0_13),tptp0)
| min_precedes(X0_13,sK14(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_325]) ).
cnf(c_662,plain,
( ~ next_subocc(sK18,sK14(sK18),tptp0)
| min_precedes(sK18,sK14(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_686,plain,
( ~ min_precedes(sK14(X0_13),sK15(X0_13),tptp0)
| subactivity_occurrence(sK14(X0_13),sK8(tptp0,sK14(X0_13),sK15(X0_13))) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_687,plain,
( ~ min_precedes(sK14(X0_13),sK15(X0_13),tptp0)
| occurrence_of(sK8(tptp0,sK14(X0_13),sK15(X0_13)),tptp0) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_698,plain,
( ~ min_precedes(sK14(sK18),sK15(sK18),tptp0)
| occurrence_of(sK8(tptp0,sK14(sK18),sK15(sK18)),tptp0) ),
inference(instantiation,[status(thm)],[c_687]) ).
cnf(c_699,plain,
( ~ min_precedes(sK14(sK18),sK15(sK18),tptp0)
| subactivity_occurrence(sK14(sK18),sK8(tptp0,sK14(sK18),sK15(sK18))) ),
inference(instantiation,[status(thm)],[c_686]) ).
cnf(c_712,plain,
( ~ occurrence_of(X0_13,X0_14)
| ~ activity_occurrence(X0_13)
| sK6(X0_13) = X0_14 ),
inference(superposition,[status(thm)],[c_299,c_293]) ).
cnf(c_801,plain,
( ~ occurrence_of(X0_13,sK6(X0_13))
| ~ occurrence_of(X0_13,X0_14)
| X0_14 = sK6(X0_13) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_1004,plain,
( ~ occurrence_of(X0_13,X0_14)
| ~ activity_occurrence(X0_13)
| sK6(X0_13) = X0_14 ),
inference(superposition,[status(thm)],[c_299,c_293]) ).
cnf(c_1090,plain,
( ~ occurrence_of(sK14(X0_13),sK6(sK14(X0_13)))
| ~ occurrence_of(sK14(X0_13),tptp3)
| tptp3 = sK6(sK14(X0_13)) ),
inference(instantiation,[status(thm)],[c_801]) ).
cnf(c_1091,plain,
( ~ occurrence_of(sK14(sK18),sK6(sK14(sK18)))
| ~ occurrence_of(sK14(sK18),tptp3)
| tptp3 = sK6(sK14(sK18)) ),
inference(instantiation,[status(thm)],[c_1090]) ).
cnf(c_1175,plain,
tptp3 = tptp3,
inference(instantiation,[status(thm)],[c_357]) ).
cnf(c_1187,plain,
( ~ occurrence_of(sK14(X0_13),sK6(sK14(X0_13)))
| ~ occurrence_of(sK14(X0_13),tptp3)
| sK6(sK14(X0_13)) = tptp3 ),
inference(instantiation,[status(thm)],[c_608]) ).
cnf(c_1188,plain,
( ~ activity_occurrence(sK14(X0_13))
| occurrence_of(sK14(X0_13),sK6(sK14(X0_13))) ),
inference(instantiation,[status(thm)],[c_299]) ).
cnf(c_1189,plain,
( ~ occurrence_of(sK14(sK18),sK6(sK14(sK18)))
| ~ occurrence_of(sK14(sK18),tptp3)
| sK6(sK14(sK18)) = tptp3 ),
inference(instantiation,[status(thm)],[c_1187]) ).
cnf(c_1190,plain,
( ~ activity_occurrence(sK14(sK18))
| occurrence_of(sK14(sK18),sK6(sK14(sK18))) ),
inference(instantiation,[status(thm)],[c_1188]) ).
cnf(c_1237,plain,
( ~ next_subocc(sK14(X0_13),sK14(sK14(X0_13)),tptp0)
| min_precedes(sK14(X0_13),sK14(sK14(X0_13)),tptp0) ),
inference(instantiation,[status(thm)],[c_661]) ).
cnf(c_1239,plain,
( ~ next_subocc(sK14(sK18),sK14(sK14(sK18)),tptp0)
| min_precedes(sK14(sK18),sK14(sK14(sK18)),tptp0) ),
inference(instantiation,[status(thm)],[c_1237]) ).
cnf(c_1245,plain,
( ~ min_precedes(X0_13,sK14(X0_13),tptp0)
| subactivity_occurrence(X0_13,sK8(tptp0,X0_13,sK14(X0_13))) ),
inference(instantiation,[status(thm)],[c_289]) ).
cnf(c_1246,plain,
( ~ min_precedes(X0_13,sK14(X0_13),tptp0)
| occurrence_of(sK8(tptp0,X0_13,sK14(X0_13)),tptp0) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_1257,plain,
( ~ min_precedes(sK18,sK14(sK18),tptp0)
| occurrence_of(sK8(tptp0,sK18,sK14(sK18)),tptp0) ),
inference(instantiation,[status(thm)],[c_1246]) ).
cnf(c_1258,plain,
( ~ min_precedes(sK18,sK14(sK18),tptp0)
| subactivity_occurrence(sK18,sK8(tptp0,sK18,sK14(sK18))) ),
inference(instantiation,[status(thm)],[c_1245]) ).
cnf(c_1280,plain,
( ~ subactivity_occurrence(X0_13,sK8(tptp0,sK14(X1_13),sK15(X1_13)))
| ~ occurrence_of(sK8(tptp0,sK14(X1_13),sK15(X1_13)),tptp0)
| ~ arboreal(X0_13)
| leaf_occ(X0_13,sK8(tptp0,sK14(X1_13),sK15(X1_13)))
| next_subocc(X0_13,sK14(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_268]) ).
cnf(c_1282,plain,
( ~ subactivity_occurrence(X0_13,sK8(tptp0,sK14(X1_13),sK15(X1_13)))
| ~ occurrence_of(sK8(tptp0,sK14(X1_13),sK15(X1_13)),tptp0)
| ~ arboreal(X0_13)
| leaf_occ(X0_13,sK8(tptp0,sK14(X1_13),sK15(X1_13)))
| occurrence_of(sK14(X0_13),tptp3) ),
inference(instantiation,[status(thm)],[c_267]) ).
cnf(c_1406,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ arboreal(sK18)
| occurrence_of(sK14(sK18),tptp3)
| leaf_occ(sK18,sK19) ),
inference(superposition,[status(thm)],[c_353,c_267]) ).
cnf(c_1652,plain,
occurrence_of(sK14(sK18),tptp3),
inference(global_subsumption_just,[status(thm)],[c_1406,c_136,c_138,c_137,c_135,c_499]) ).
cnf(c_1659,plain,
( ~ atomic(tptp3)
| arboreal(sK14(sK18)) ),
inference(superposition,[status(thm)],[c_1652,c_311]) ).
cnf(c_2035,plain,
( X0_14 != X1_14
| X1_14 = X0_14 ),
inference(resolution,[status(thm)],[c_359,c_357]) ).
cnf(c_2044,plain,
( ~ occurrence_of(X0_13,X0_14)
| sK6(X0_13) = X0_14 ),
inference(global_subsumption_just,[status(thm)],[c_1004,c_278,c_712]) ).
cnf(c_2323,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ arboreal(sK18)
| occurrence_of(sK16(sK18),tptp2)
| occurrence_of(sK16(sK18),tptp1)
| leaf_occ(sK18,sK19) ),
inference(superposition,[status(thm)],[c_353,c_271]) ).
cnf(c_2335,plain,
( tptp2 != sK6(sK14(X0_13))
| tptp3 != sK6(sK14(X0_13))
| tptp2 = tptp3 ),
inference(instantiation,[status(thm)],[c_488]) ).
cnf(c_2336,plain,
( tptp2 != sK6(sK14(sK18))
| tptp3 != sK6(sK14(sK18))
| tptp2 = tptp3 ),
inference(instantiation,[status(thm)],[c_2335]) ).
cnf(c_2882,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ arboreal(sK18)
| occurrence_of(sK16(sK18),tptp2)
| occurrence_of(sK16(sK18),tptp1)
| leaf_occ(sK18,sK19) ),
inference(superposition,[status(thm)],[c_353,c_271]) ).
cnf(c_3097,plain,
( occurrence_of(sK16(sK18),tptp1)
| occurrence_of(sK16(sK18),tptp2) ),
inference(global_subsumption_just,[status(thm)],[c_2882,c_136,c_138,c_135,c_2323]) ).
cnf(c_3098,plain,
( occurrence_of(sK16(sK18),tptp2)
| occurrence_of(sK16(sK18),tptp1) ),
inference(renaming,[status(thm)],[c_3097]) ).
cnf(c_5248,plain,
( ~ subactivity_occurrence(sK14(X0_13),sK8(tptp0,sK14(X0_13),sK15(X0_13)))
| ~ occurrence_of(sK8(tptp0,sK14(X0_13),sK15(X0_13)),tptp0)
| ~ arboreal(sK14(X0_13))
| leaf_occ(sK14(X0_13),sK8(tptp0,sK14(X0_13),sK15(X0_13)))
| occurrence_of(sK14(sK14(X0_13)),tptp3) ),
inference(instantiation,[status(thm)],[c_1282]) ).
cnf(c_5249,plain,
( ~ subactivity_occurrence(sK14(sK18),sK8(tptp0,sK14(sK18),sK15(sK18)))
| ~ occurrence_of(sK8(tptp0,sK14(sK18),sK15(sK18)),tptp0)
| ~ arboreal(sK14(sK18))
| leaf_occ(sK14(sK18),sK8(tptp0,sK14(sK18),sK15(sK18)))
| occurrence_of(sK14(sK14(sK18)),tptp3) ),
inference(instantiation,[status(thm)],[c_5248]) ).
cnf(c_6651,plain,
( ~ subactivity_occurrence(sK14(X0_13),sK8(tptp0,sK14(X1_13),sK15(X1_13)))
| ~ occurrence_of(sK8(tptp0,sK14(X1_13),sK15(X1_13)),tptp0)
| ~ arboreal(sK14(X0_13))
| leaf_occ(sK14(X0_13),sK8(tptp0,sK14(X1_13),sK15(X1_13)))
| next_subocc(sK14(X0_13),sK14(sK14(X0_13)),tptp0) ),
inference(instantiation,[status(thm)],[c_1280]) ).
cnf(c_6652,plain,
( ~ subactivity_occurrence(sK14(sK18),sK8(tptp0,sK14(sK18),sK15(sK18)))
| ~ occurrence_of(sK8(tptp0,sK14(sK18),sK15(sK18)),tptp0)
| ~ arboreal(sK14(sK18))
| leaf_occ(sK14(sK18),sK8(tptp0,sK14(sK18),sK15(sK18)))
| next_subocc(sK14(sK18),sK14(sK14(sK18)),tptp0) ),
inference(instantiation,[status(thm)],[c_6651]) ).
cnf(c_9932,plain,
( ~ leaf_occ(sK14(X0_13),sK8(tptp0,sK14(X0_13),sK15(X0_13)))
| ~ occurrence_of(sK8(tptp0,sK14(X0_13),sK15(X0_13)),X0_14)
| ~ min_precedes(sK14(X0_13),X1_13,X0_14) ),
inference(instantiation,[status(thm)],[c_338]) ).
cnf(c_16392,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ arboreal(sK18)
| occurrence_of(sK15(sK18),tptp4)
| leaf_occ(sK18,sK19) ),
inference(resolution,[status(thm)],[c_269,c_353]) ).
cnf(c_16621,plain,
occurrence_of(sK15(sK18),tptp4),
inference(global_subsumption_just,[status(thm)],[c_16392,c_136,c_138,c_137,c_135,c_501]) ).
cnf(c_16627,plain,
( ~ occurrence_of(sK15(sK18),X0_14)
| X0_14 = tptp4 ),
inference(resolution,[status(thm)],[c_16621,c_293]) ).
cnf(c_17508,plain,
( ~ occurrence_of(sK15(sK18),X0_14)
| tptp4 = X0_14 ),
inference(resolution,[status(thm)],[c_16627,c_2035]) ).
cnf(c_17789,plain,
( ~ leaf_occ(sK14(X0_13),sK8(tptp0,sK14(X0_13),sK15(X0_13)))
| ~ occurrence_of(sK8(tptp0,sK14(X0_13),sK15(X0_13)),tptp0)
| ~ min_precedes(sK14(X0_13),sK15(X0_13),tptp0) ),
inference(instantiation,[status(thm)],[c_9932]) ).
cnf(c_17790,plain,
( ~ leaf_occ(sK14(sK18),sK8(tptp0,sK14(sK18),sK15(sK18)))
| ~ occurrence_of(sK8(tptp0,sK14(sK18),sK15(sK18)),tptp0)
| ~ min_precedes(sK14(sK18),sK15(sK18),tptp0) ),
inference(instantiation,[status(thm)],[c_17789]) ).
cnf(c_19091,plain,
~ occurrence_of(sK15(sK18),tptp3),
inference(resolution,[status(thm)],[c_17508,c_340]) ).
cnf(c_24680,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ arboreal(sK18)
| occurrence_of(sK16(sK18),tptp2)
| occurrence_of(sK16(sK18),tptp1)
| leaf_occ(sK18,sK19) ),
inference(resolution,[status(thm)],[c_271,c_353]) ).
cnf(c_25208,plain,
( occurrence_of(sK16(sK18),tptp1)
| occurrence_of(sK16(sK18),tptp2) ),
inference(global_subsumption_just,[status(thm)],[c_24680,c_3098]) ).
cnf(c_25209,plain,
( occurrence_of(sK16(sK18),tptp2)
| occurrence_of(sK16(sK18),tptp1) ),
inference(renaming,[status(thm)],[c_25208]) ).
cnf(c_25218,plain,
( ~ occurrence_of(sK16(sK18),X0_14)
| X0_14 = tptp1
| occurrence_of(sK16(sK18),tptp2) ),
inference(resolution,[status(thm)],[c_25209,c_293]) ).
cnf(c_26340,plain,
( ~ occurrence_of(sK16(sK18),X0_14)
| tptp1 = X0_14
| occurrence_of(sK16(sK18),tptp2) ),
inference(resolution,[status(thm)],[c_25218,c_2035]) ).
cnf(c_28487,plain,
( ~ occurrence_of(sK16(sK18),tptp3)
| occurrence_of(sK16(sK18),tptp2) ),
inference(resolution,[status(thm)],[c_26340,c_343]) ).
cnf(c_29278,plain,
( ~ occurrence_of(X0_13,X0_14)
| ~ activity_occurrence(X0_13)
| sK6(X0_13) = X0_14 ),
inference(superposition,[status(thm)],[c_299,c_293]) ).
cnf(c_29453,plain,
( ~ occurrence_of(sK19,tptp0)
| ~ arboreal(sK18)
| next_subocc(sK18,sK14(sK18),tptp0)
| leaf_occ(sK18,sK19) ),
inference(superposition,[status(thm)],[c_353,c_268]) ).
cnf(c_29466,plain,
next_subocc(sK18,sK14(sK18),tptp0),
inference(global_subsumption_just,[status(thm)],[c_29453,c_136,c_138,c_137,c_135,c_504]) ).
cnf(c_29468,plain,
min_precedes(sK18,sK14(sK18),tptp0),
inference(superposition,[status(thm)],[c_29466,c_325]) ).
cnf(c_29725,plain,
( ~ occurrence_of(X0_13,tptp0)
| ~ leaf_occ(sK18,X0_13) ),
inference(superposition,[status(thm)],[c_29468,c_338]) ).
cnf(c_29882,plain,
( ~ occurrence_of(X0_13,X0_14)
| sK6(X0_13) = X0_14 ),
inference(global_subsumption_just,[status(thm)],[c_29278,c_2044]) ).
cnf(c_29886,plain,
( ~ min_precedes(X0_13,X1_13,X0_14)
| sK6(sK8(X0_14,X0_13,X1_13)) = X0_14 ),
inference(superposition,[status(thm)],[c_288,c_29882]) ).
cnf(c_30811,plain,
sK6(sK8(tptp0,sK18,sK14(sK18))) = tptp0,
inference(superposition,[status(thm)],[c_29468,c_29886]) ).
cnf(c_30826,plain,
( ~ activity_occurrence(sK8(tptp0,sK18,sK14(sK18)))
| occurrence_of(sK8(tptp0,sK18,sK14(sK18)),tptp0) ),
inference(superposition,[status(thm)],[c_30811,c_299]) ).
cnf(c_31293,plain,
occurrence_of(sK8(tptp0,sK18,sK14(sK18)),tptp0),
inference(global_subsumption_just,[status(thm)],[c_30826,c_136,c_138,c_137,c_135,c_504,c_662,c_1257]) ).
cnf(c_31310,plain,
~ leaf_occ(sK18,sK8(tptp0,sK18,sK14(sK18))),
inference(superposition,[status(thm)],[c_31293,c_29725]) ).
cnf(c_45362,plain,
( X0_13 != sK14(X1_13)
| X0_14 != tptp3
| ~ occurrence_of(sK14(X1_13),tptp3)
| occurrence_of(X0_13,X0_14) ),
inference(instantiation,[status(thm)],[c_363]) ).
cnf(c_45539,plain,
( ~ min_precedes(sK14(X0_13),sK14(sK14(X0_13)),tptp0)
| ~ subactivity_occurrence(X0_13,X1_13)
| ~ occurrence_of(X1_13,tptp0)
| ~ arboreal(X0_13)
| sK16(X0_13) = sK14(sK14(X0_13))
| sK15(X0_13) = sK14(sK14(X0_13))
| leaf_occ(X0_13,X1_13) ),
inference(instantiation,[status(thm)],[c_273]) ).
cnf(c_45808,plain,
( ~ occurrence_of(X0_13,sK6(X1_13))
| ~ occurrence_of(X0_13,X0_14)
| X0_14 = sK6(X1_13) ),
inference(instantiation,[status(thm)],[c_293]) ).
cnf(c_45884,plain,
( X0_13 != sK14(X1_13)
| tptp3 != tptp3
| ~ occurrence_of(sK14(X1_13),tptp3)
| occurrence_of(X0_13,tptp3) ),
inference(instantiation,[status(thm)],[c_45362]) ).
cnf(c_46179,plain,
( sK6(sK14(X0_13)) != tptp3
| X1_13 != sK14(X2_13)
| ~ occurrence_of(sK14(X2_13),tptp3)
| occurrence_of(X1_13,sK6(sK14(X0_13))) ),
inference(instantiation,[status(thm)],[c_45362]) ).
cnf(c_46739,plain,
( ~ occurrence_of(sK16(X0_13),sK6(X1_13))
| ~ occurrence_of(sK16(X0_13),tptp2)
| tptp2 = sK6(X1_13) ),
inference(instantiation,[status(thm)],[c_45808]) ).
cnf(c_47300,plain,
( ~ subactivity_occurrence(X0_13,sK8(tptp0,X1_13,sK14(X1_13)))
| ~ min_precedes(sK14(X0_13),sK14(sK14(X0_13)),tptp0)
| ~ occurrence_of(sK8(tptp0,X1_13,sK14(X1_13)),tptp0)
| ~ arboreal(X0_13)
| sK16(X0_13) = sK14(sK14(X0_13))
| sK15(X0_13) = sK14(sK14(X0_13))
| leaf_occ(X0_13,sK8(tptp0,X1_13,sK14(X1_13))) ),
inference(instantiation,[status(thm)],[c_45539]) ).
cnf(c_47301,plain,
( ~ min_precedes(sK14(sK18),sK14(sK14(sK18)),tptp0)
| ~ occurrence_of(sK8(tptp0,sK18,sK14(sK18)),tptp0)
| ~ subactivity_occurrence(sK18,sK8(tptp0,sK18,sK14(sK18)))
| ~ arboreal(sK18)
| sK16(sK18) = sK14(sK14(sK18))
| sK15(sK18) = sK14(sK14(sK18))
| leaf_occ(sK18,sK8(tptp0,sK18,sK14(sK18))) ),
inference(instantiation,[status(thm)],[c_47300]) ).
cnf(c_47994,plain,
( sK16(X0_13) != sK14(sK14(X0_13))
| tptp3 != tptp3
| ~ occurrence_of(sK14(sK14(X0_13)),tptp3)
| occurrence_of(sK16(X0_13),tptp3) ),
inference(instantiation,[status(thm)],[c_45884]) ).
cnf(c_47995,plain,
( sK16(sK18) != sK14(sK14(sK18))
| tptp3 != tptp3
| ~ occurrence_of(sK14(sK14(sK18)),tptp3)
| occurrence_of(sK16(sK18),tptp3) ),
inference(instantiation,[status(thm)],[c_47994]) ).
cnf(c_48069,plain,
( sK6(sK14(X0_13)) != tptp3
| sK16(X1_13) != sK14(sK14(X1_13))
| ~ occurrence_of(sK14(sK14(X1_13)),tptp3)
| occurrence_of(sK16(X1_13),sK6(sK14(X0_13))) ),
inference(instantiation,[status(thm)],[c_46179]) ).
cnf(c_48070,plain,
( sK6(sK14(sK18)) != tptp3
| sK16(sK18) != sK14(sK14(sK18))
| ~ occurrence_of(sK14(sK14(sK18)),tptp3)
| occurrence_of(sK16(sK18),sK6(sK14(sK18))) ),
inference(instantiation,[status(thm)],[c_48069]) ).
cnf(c_50268,plain,
( sK15(X0_13) != sK14(sK14(X0_13))
| tptp3 != tptp3
| ~ occurrence_of(sK14(sK14(X0_13)),tptp3)
| occurrence_of(sK15(X0_13),tptp3) ),
inference(instantiation,[status(thm)],[c_45884]) ).
cnf(c_50277,plain,
( sK15(sK18) != sK14(sK14(sK18))
| tptp3 != tptp3
| ~ occurrence_of(sK14(sK14(sK18)),tptp3)
| occurrence_of(sK15(sK18),tptp3) ),
inference(instantiation,[status(thm)],[c_50268]) ).
cnf(c_53622,plain,
( ~ occurrence_of(sK16(X0_13),sK6(sK14(X1_13)))
| ~ occurrence_of(sK16(X0_13),tptp2)
| tptp2 = sK6(sK14(X1_13)) ),
inference(instantiation,[status(thm)],[c_46739]) ).
cnf(c_53625,plain,
( ~ occurrence_of(sK16(sK18),sK6(sK14(sK18)))
| ~ occurrence_of(sK16(sK18),tptp2)
| tptp2 = sK6(sK14(sK18)) ),
inference(instantiation,[status(thm)],[c_53622]) ).
cnf(c_53626,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_53625,c_50277,c_48070,c_47995,c_47301,c_31310,c_28487,c_19091,c_17790,c_6652,c_5249,c_2336,c_1659,c_1258,c_1257,c_1239,c_1190,c_1189,c_1175,c_1091,c_699,c_698,c_662,c_615,c_506,c_504,c_499,c_344,c_135,c_137,c_138,c_120,c_136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO018+2 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 20 06:42:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 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
% 27.66/4.69 % SZS status Started for theBenchmark.p
% 27.66/4.69 % SZS status Theorem for theBenchmark.p
% 27.66/4.69
% 27.66/4.69 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 27.66/4.69
% 27.66/4.69 ------ iProver source info
% 27.66/4.69
% 27.66/4.69 git: date: 2024-06-12 09:56:46 +0000
% 27.66/4.69 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 27.66/4.69 git: non_committed_changes: false
% 27.66/4.69
% 27.66/4.69 ------ Parsing...
% 27.66/4.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 27.66/4.69
% 27.66/4.69 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e
% 27.66/4.69
% 27.66/4.69 ------ Preprocessing...
% 27.66/4.69
% 27.66/4.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.66/4.69 ------ Proving...
% 27.66/4.69 ------ Problem Properties
% 27.66/4.69
% 27.66/4.69
% 27.66/4.69 clauses 90
% 27.66/4.69 conjectures 22
% 27.66/4.69 EPR 50
% 27.66/4.69 Horn 65
% 27.66/4.69 unary 16
% 27.66/4.69 binary 36
% 27.66/4.69 lits 250
% 27.66/4.69 lits eq 12
% 27.66/4.69 fd_pure 0
% 27.66/4.69 fd_pseudo 0
% 27.66/4.69 fd_cond 0
% 27.66/4.69 fd_pseudo_cond 5
% 27.66/4.69 AC symbols 0
% 27.66/4.69
% 27.66/4.69 ------ Input Options Time Limit: Unbounded
% 27.66/4.69
% 27.66/4.69
% 27.66/4.69 ------
% 27.66/4.69 Current options:
% 27.66/4.69 ------
% 27.66/4.69
% 27.66/4.69
% 27.66/4.69
% 27.66/4.69
% 27.66/4.69 ------ Proving...
% 27.66/4.69
% 27.66/4.69
% 27.66/4.69 % SZS status Theorem for theBenchmark.p
% 27.66/4.69
% 27.66/4.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.66/4.69
% 27.66/4.69
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