TSTP Solution File: PRO016+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO016+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 17:45:05 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of formulae : 136 ( 34 unt; 0 def)
% Number of atoms : 591 ( 70 equ)
% Maximal formula atoms : 130 ( 4 avg)
% Number of connectives : 723 ( 268 ~; 355 |; 82 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 188 ( 6 sgn 81 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X167,X168] :
( ( occurrence_of(X168,tptp0)
& subactivity_occurrence(X167,X168)
& arboreal(X167)
& ~ leaf_occ(X167,X168) )
=> ? [X169,X170] :
( occurrence_of(X169,tptp3)
& next_subocc(X167,X169,tptp0)
& ( occurrence_of(X170,tptp1)
| occurrence_of(X170,tptp2) )
& min_precedes(X169,X170,tptp0)
& leaf_occ(X170,X168)
& ( occurrence_of(X170,tptp1)
=> ~ ? [X171] :
( occurrence_of(X171,tptp2)
& min_precedes(X169,X171,tptp0) ) )
& ( occurrence_of(X170,tptp2)
=> ~ ? [X172] :
( occurrence_of(X172,tptp1)
& min_precedes(X169,X172,tptp0) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162,X163] :
( ( occurrence_of(X163,tptp0)
& subactivity_occurrence(X162,X163)
& arboreal(X162)
& ~ leaf_occ(X162,X163) )
=> ? [X164,X165,X166] :
( occurrence_of(X164,tptp3)
& next_subocc(X162,X164,tptp0)
& occurrence_of(X165,tptp4)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X166,tptp1)
| occurrence_of(X166,tptp2) )
& next_subocc(X165,X166,tptp0)
& leaf_occ(X166,X163) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_49) ).
fof(sos_43,axiom,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_43) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( occurrence_of(X73,X70)
& subactivity_occurrence(X71,X73)
& subactivity_occurrence(X72,X73) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_25) ).
fof(sos_44,axiom,
! [X143,X144,X145] :
( next_subocc(X143,X144,X145)
=> ( arboreal(X143)
& arboreal(X144) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_44) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_22) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_37) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( min_precedes(X84,X85,X86)
& occurrence_of(X87,X86)
& subactivity_occurrence(X85,X87) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_29) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_07) ).
fof(sos_36,axiom,
! [X110,X111,X112,X113] :
( ( occurrence_of(X112,X113)
& ~ atomic(X113)
& leaf_occ(X110,X112)
& leaf_occ(X111,X112) )
=> X110 = X111 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_36) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_52) ).
fof(sos_40,axiom,
! [X127,X128,X129,X130] :
( ( next_subocc(X128,X127,X130)
& next_subocc(X129,X127,X130) )
=> X128 = X129 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_40) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_51) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_55) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_02) ).
fof(sos_60,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_60) ).
fof(sos_59,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',sos_59) ).
fof(c_0_17,negated_conjecture,
~ ! [X167,X168] :
( ( occurrence_of(X168,tptp0)
& subactivity_occurrence(X167,X168)
& arboreal(X167)
& ~ leaf_occ(X167,X168) )
=> ? [X169,X170] :
( occurrence_of(X169,tptp3)
& next_subocc(X167,X169,tptp0)
& ( occurrence_of(X170,tptp1)
| occurrence_of(X170,tptp2) )
& min_precedes(X169,X170,tptp0)
& leaf_occ(X170,X168)
& ( occurrence_of(X170,tptp1)
=> ~ ? [X171] :
( occurrence_of(X171,tptp2)
& min_precedes(X169,X171,tptp0) ) )
& ( occurrence_of(X170,tptp2)
=> ~ ? [X172] :
( occurrence_of(X172,tptp1)
& min_precedes(X169,X172,tptp0) ) ) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X167,X168] :
( ( occurrence_of(esk5_2(X167,X168),tptp3)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) )
& ( next_subocc(X167,esk5_2(X167,X168),tptp0)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) )
& ( occurrence_of(esk6_2(X167,X168),tptp4)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) )
& ( next_subocc(esk5_2(X167,X168),esk6_2(X167,X168),tptp0)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) )
& ( occurrence_of(esk7_2(X167,X168),tptp1)
| occurrence_of(esk7_2(X167,X168),tptp2)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) )
& ( next_subocc(esk6_2(X167,X168),esk7_2(X167,X168),tptp0)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) )
& ( leaf_occ(esk7_2(X167,X168),X168)
| ~ occurrence_of(X168,tptp0)
| ~ subactivity_occurrence(X167,X168)
| ~ arboreal(X167)
| leaf_occ(X167,X168) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_49])])])])])])]) ).
fof(c_0_19,negated_conjecture,
! [X175,X176] :
( occurrence_of(esk2_0,tptp0)
& subactivity_occurrence(esk1_0,esk2_0)
& arboreal(esk1_0)
& ~ leaf_occ(esk1_0,esk2_0)
& ( occurrence_of(X176,tptp2)
| occurrence_of(X176,tptp1)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(esk4_2(X175,X176),tptp1)
| occurrence_of(X176,tptp1)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( min_precedes(X175,esk4_2(X175,X176),tptp0)
| occurrence_of(X176,tptp1)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(X176,tptp2)
| occurrence_of(esk3_2(X175,X176),tptp2)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(esk4_2(X175,X176),tptp1)
| occurrence_of(esk3_2(X175,X176),tptp2)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( min_precedes(X175,esk4_2(X175,X176),tptp0)
| occurrence_of(esk3_2(X175,X176),tptp2)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(X176,tptp2)
| min_precedes(X175,esk3_2(X175,X176),tptp0)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(esk4_2(X175,X176),tptp1)
| min_precedes(X175,esk3_2(X175,X176),tptp0)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( min_precedes(X175,esk4_2(X175,X176),tptp0)
| min_precedes(X175,esk3_2(X175,X176),tptp0)
| ~ occurrence_of(X176,tptp1)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(X176,tptp2)
| occurrence_of(X176,tptp1)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(esk4_2(X175,X176),tptp1)
| occurrence_of(X176,tptp1)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( min_precedes(X175,esk4_2(X175,X176),tptp0)
| occurrence_of(X176,tptp1)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(X176,tptp2)
| occurrence_of(esk3_2(X175,X176),tptp2)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(esk4_2(X175,X176),tptp1)
| occurrence_of(esk3_2(X175,X176),tptp2)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( min_precedes(X175,esk4_2(X175,X176),tptp0)
| occurrence_of(esk3_2(X175,X176),tptp2)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(X176,tptp2)
| min_precedes(X175,esk3_2(X175,X176),tptp0)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( occurrence_of(esk4_2(X175,X176),tptp1)
| min_precedes(X175,esk3_2(X175,X176),tptp0)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) )
& ( min_precedes(X175,esk4_2(X175,X176),tptp0)
| min_precedes(X175,esk3_2(X175,X176),tptp0)
| ~ occurrence_of(X176,tptp2)
| ~ occurrence_of(X175,tptp3)
| ~ next_subocc(esk1_0,X175,tptp0)
| ~ min_precedes(X175,X176,tptp0)
| ~ leaf_occ(X176,esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_17])])])])])])])]) ).
cnf(c_0_20,plain,
( leaf_occ(X1,X2)
| leaf_occ(esk7_2(X1,X2),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_21,negated_conjecture,
occurrence_of(esk2_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_22,plain,
! [X143,X144,X145,X146] :
( ~ occurrence_of(X144,X143)
| ~ subactivity_occurrence(X145,X144)
| ~ leaf_occ(X146,X144)
| ~ arboreal(X145)
| min_precedes(X145,X146,X143)
| X146 = X145 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_43])])]) ).
cnf(c_0_23,negated_conjecture,
( leaf_occ(esk7_2(X1,esk2_0),esk2_0)
| leaf_occ(X1,esk2_0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
subactivity_occurrence(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
arboreal(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
~ leaf_occ(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
( X1 = X2
| min_precedes(X2,X1,X3)
| ~ arboreal(X2)
| ~ leaf_occ(X1,X4)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
leaf_occ(esk7_2(esk1_0,esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = X1
| min_precedes(X1,esk7_2(esk1_0,esk2_0),X2)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1)
| ~ occurrence_of(esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_30,plain,
! [X74,X75,X76] :
( ( occurrence_of(esk9_3(X74,X75,X76),X74)
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X75,esk9_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X76,esk9_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])])]) ).
cnf(c_0_31,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| min_precedes(esk1_0,esk7_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24]),c_0_25])]) ).
cnf(c_0_32,plain,
( leaf_occ(X1,X2)
| next_subocc(esk6_2(X1,X2),esk7_2(X1,X2),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33,plain,
( occurrence_of(esk9_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| min_precedes(esk1_0,esk7_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
fof(c_0_35,plain,
! [X146,X147,X148] :
( ( arboreal(X146)
| ~ next_subocc(X146,X147,X148) )
& ( arboreal(X147)
| ~ next_subocc(X146,X147,X148) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_44])])])])]) ).
cnf(c_0_36,negated_conjecture,
( leaf_occ(X1,esk2_0)
| next_subocc(esk6_2(X1,esk2_0),esk7_2(X1,esk2_0),tptp0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_21]) ).
cnf(c_0_37,plain,
( leaf_occ(X1,X2)
| next_subocc(X1,esk5_2(X1,X2),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_38,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,plain,
( subactivity_occurrence(X2,esk9_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( arboreal(X2)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
next_subocc(esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_24]),c_0_25])]),c_0_26]) ).
fof(c_0_42,plain,
! [X65,X66,X67,X68,X65,X66,X67] :
( ( min_precedes(X65,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( ~ min_precedes(X65,X68,X67)
| ~ min_precedes(X68,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( min_precedes(X65,esk8_3(X65,X66,X67),X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) )
& ( min_precedes(esk8_3(X65,X66,X67),X66,X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).
cnf(c_0_43,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(X1,esk5_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| subactivity_occurrence(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
arboreal(esk7_2(esk1_0,esk2_0)),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_46,plain,
! [X118,X119,X120,X121] :
( ~ occurrence_of(X118,X120)
| ~ leaf_occ(X119,X118)
| ~ min_precedes(X119,X121,X120) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])])])]) ).
cnf(c_0_47,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
fof(c_0_49,plain,
! [X88,X89,X90,X91] :
( ~ min_precedes(X88,X89,X90)
| ~ occurrence_of(X91,X90)
| ~ subactivity_occurrence(X89,X91)
| subactivity_occurrence(X88,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_50,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk6_2(X1,X2),tptp4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_51,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf_occ(X1,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| min_precedes(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_53,plain,
( subactivity_occurrence(X1,X2)
| ~ subactivity_occurrence(X3,X2)
| ~ occurrence_of(X2,X4)
| ~ min_precedes(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
min_precedes(esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0),tptp0),
inference(spm,[status(thm)],[c_0_47,c_0_41]) ).
fof(c_0_55,plain,
! [X19,X20] :
( ( ~ arboreal(X19)
| atomic(X20)
| ~ occurrence_of(X19,X20) )
& ( ~ atomic(X20)
| arboreal(X19)
| ~ occurrence_of(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_56,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk6_2(X1,esk2_0),tptp4)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_21]) ).
fof(c_0_57,plain,
! [X114,X115,X116,X117] :
( ~ occurrence_of(X116,X117)
| atomic(X117)
| ~ leaf_occ(X114,X116)
| ~ leaf_occ(X115,X116)
| X114 = X115 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_36])])])])]) ).
cnf(c_0_58,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ leaf_occ(esk7_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( subactivity_occurrence(esk6_2(esk1_0,esk2_0),X1)
| ~ subactivity_occurrence(esk7_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
occurrence_of(esk6_2(esk1_0,esk2_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_62,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_63,plain,
( X1 = X2
| atomic(X4)
| ~ leaf_occ(X2,X3)
| ~ leaf_occ(X1,X3)
| ~ occurrence_of(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_64,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_28]),c_0_21])]) ).
cnf(c_0_65,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk7_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_38]) ).
cnf(c_0_66,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| subactivity_occurrence(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_44]),c_0_38]) ).
cnf(c_0_67,negated_conjecture,
arboreal(esk6_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_68,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)),tptp0),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
fof(c_0_69,plain,
! [X131,X132,X133,X134] :
( ~ next_subocc(X132,X131,X134)
| ~ next_subocc(X133,X131,X134)
| X132 = X133 ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_40])])])]) ).
cnf(c_0_70,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk6_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_38]) ).
cnf(c_0_71,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| X1 = esk7_2(esk1_0,esk2_0)
| atomic(X2)
| ~ leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
fof(c_0_73,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
cnf(c_0_74,negated_conjecture,
( leaf_occ(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
| next_subocc(X1,esk5_2(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),tptp0)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
subactivity_occurrence(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_39,c_0_54]) ).
cnf(c_0_76,plain,
( leaf_occ(X1,X2)
| next_subocc(esk5_2(X1,X2),esk6_2(X1,X2),tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_77,plain,
( X1 = X2
| ~ next_subocc(X2,X3,X4)
| ~ next_subocc(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_66]),c_0_67])]) ).
cnf(c_0_79,negated_conjecture,
( esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| atomic(X1)
| ~ occurrence_of(esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)),X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
| next_subocc(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_45])]) ).
cnf(c_0_82,negated_conjecture,
( leaf_occ(X1,esk2_0)
| next_subocc(esk5_2(X1,esk2_0),esk6_2(X1,esk2_0),tptp0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_21]) ).
cnf(c_0_83,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk5_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk6_2(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_76,c_0_38]) ).
cnf(c_0_84,negated_conjecture,
( X1 = esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ next_subocc(X1,esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( esk7_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk7_2(esk1_0,esk2_0)
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_38]),c_0_80]) ).
cnf(c_0_86,negated_conjecture,
( leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
| min_precedes(esk7_2(esk1_0,esk2_0),esk5_2(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_47,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
next_subocc(esk5_2(esk1_0,esk2_0),esk6_2(esk1_0,esk2_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_88,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk5_2(X1,X2),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_89,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_66]),c_0_67])]) ).
cnf(c_0_90,negated_conjecture,
( X1 = esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ next_subocc(X1,esk7_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
| ~ leaf_occ(esk7_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_51,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
min_precedes(esk5_2(esk1_0,esk2_0),esk6_2(esk1_0,esk2_0),tptp0),
inference(spm,[status(thm)],[c_0_47,c_0_87]) ).
cnf(c_0_93,plain,
( subactivity_occurrence(X1,esk9_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_94,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk5_2(X1,esk2_0),tptp3)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_21]) ).
cnf(c_0_95,negated_conjecture,
( X1 = esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ next_subocc(X1,esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_77,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( esk6_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk6_2(esk1_0,esk2_0)
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_90,c_0_41]) ).
cnf(c_0_97,negated_conjecture,
leaf_occ(esk7_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_28]),c_0_21])]) ).
cnf(c_0_98,negated_conjecture,
( subactivity_occurrence(esk5_2(esk1_0,esk2_0),X1)
| ~ subactivity_occurrence(esk6_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_53,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
subactivity_occurrence(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),
inference(spm,[status(thm)],[c_0_93,c_0_54]) ).
cnf(c_0_100,negated_conjecture,
occurrence_of(esk5_2(esk1_0,esk2_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_101,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_102,negated_conjecture,
( X1 = esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| ~ next_subocc(X1,esk6_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = X1
| min_precedes(X1,esk7_2(esk1_0,esk2_0),X2)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)))
| ~ arboreal(X1)
| ~ occurrence_of(esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)),X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_97]) ).
cnf(c_0_104,negated_conjecture,
subactivity_occurrence(esk5_2(esk1_0,esk2_0),esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_68])]) ).
cnf(c_0_105,negated_conjecture,
arboreal(esk5_2(esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_100]),c_0_101])]) ).
cnf(c_0_106,negated_conjecture,
( leaf_occ(X1,esk2_0)
| next_subocc(X1,esk5_2(X1,esk2_0),tptp0)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_21]) ).
cnf(c_0_107,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk6_2(esk1_0,esk2_0),esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_66]),c_0_67])]) ).
cnf(c_0_108,negated_conjecture,
( esk5_2(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) = esk5_2(esk1_0,esk2_0)
| esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0))) ),
inference(spm,[status(thm)],[c_0_102,c_0_87]) ).
cnf(c_0_109,plain,
( ~ next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_110,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| min_precedes(esk5_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(esk9_3(tptp0,esk6_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105])]) ).
cnf(c_0_111,negated_conjecture,
next_subocc(esk1_0,esk5_2(esk1_0,esk2_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_112,negated_conjecture,
( ~ leaf_occ(esk6_2(esk1_0,esk2_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_113,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| leaf_occ(esk6_2(esk1_0,esk2_0),esk9_3(tptp0,esk1_0,esk7_2(esk1_0,esk2_0)))
| next_subocc(esk6_2(esk1_0,esk2_0),esk5_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,plain,
( leaf_occ(X1,X2)
| occurrence_of(esk7_2(X1,X2),tptp2)
| occurrence_of(esk7_2(X1,X2),tptp1)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_115,negated_conjecture,
( ~ min_precedes(X1,esk7_2(esk1_0,esk2_0),tptp0)
| ~ min_precedes(esk6_2(esk1_0,esk2_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_109,c_0_41]) ).
cnf(c_0_116,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| min_precedes(esk5_2(esk1_0,esk2_0),esk7_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_110,c_0_68]) ).
cnf(c_0_117,negated_conjecture,
( X1 = esk1_0
| ~ next_subocc(X1,esk5_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_77,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| next_subocc(esk6_2(esk1_0,esk2_0),esk5_2(esk1_0,esk2_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_38]) ).
fof(c_0_119,plain,
! [X8,X9,X10] :
( ~ occurrence_of(X8,X9)
| ~ occurrence_of(X8,X10)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_120,negated_conjecture,
( leaf_occ(X1,esk2_0)
| occurrence_of(esk7_2(X1,esk2_0),tptp1)
| occurrence_of(esk7_2(X1,esk2_0),tptp2)
| ~ subactivity_occurrence(X1,esk2_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_21]) ).
cnf(c_0_121,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| ~ min_precedes(esk6_2(esk1_0,esk2_0),esk5_2(esk1_0,esk2_0),tptp0) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| esk6_2(esk1_0,esk2_0) = esk1_0 ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_123,negated_conjecture,
min_precedes(esk1_0,esk5_2(esk1_0,esk2_0),tptp0),
inference(spm,[status(thm)],[c_0_47,c_0_111]) ).
cnf(c_0_124,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_125,negated_conjecture,
( occurrence_of(esk7_2(esk1_0,esk2_0),tptp2)
| occurrence_of(esk7_2(esk1_0,esk2_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_126,negated_conjecture,
( esk5_2(esk1_0,esk2_0) = esk7_2(esk1_0,esk2_0)
| esk7_2(esk1_0,esk2_0) = esk1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_127,negated_conjecture,
( X1 = tptp3
| ~ occurrence_of(esk5_2(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_100]) ).
cnf(c_0_128,negated_conjecture,
( X1 = tptp2
| occurrence_of(esk7_2(esk1_0,esk2_0),tptp1)
| ~ occurrence_of(esk7_2(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_129,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| occurrence_of(esk7_2(esk1_0,esk2_0),tptp3) ),
inference(spm,[status(thm)],[c_0_100,c_0_126]) ).
cnf(c_0_130,plain,
tptp3 != tptp2,
inference(split_conjunct,[status(thm)],[sos_60]) ).
cnf(c_0_131,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| X1 = tptp3
| ~ occurrence_of(esk7_2(esk1_0,esk2_0),X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( esk7_2(esk1_0,esk2_0) = esk1_0
| occurrence_of(esk7_2(esk1_0,esk2_0),tptp1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130]) ).
cnf(c_0_133,plain,
tptp3 != tptp1,
inference(split_conjunct,[status(thm)],[sos_59]) ).
cnf(c_0_134,negated_conjecture,
esk7_2(esk1_0,esk2_0) = esk1_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_134]),c_0_26]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PRO016+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n015.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 : 600
% 0.12/0.33 % DateTime : Mon Jun 13 01:39:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 0.22/1.40 # Preprocessing time : 0.018 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 136
% 0.22/1.40 # Proof object clause steps : 105
% 0.22/1.40 # Proof object formula steps : 31
% 0.22/1.40 # Proof object conjectures : 83
% 0.22/1.40 # Proof object clause conjectures : 80
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 29
% 0.22/1.40 # Proof object initial formulas used : 17
% 0.22/1.40 # Proof object generating inferences : 75
% 0.22/1.40 # Proof object simplifying inferences : 56
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 63
% 0.22/1.40 # Removed by relevancy pruning/SinE : 33
% 0.22/1.40 # Initial clauses : 64
% 0.22/1.40 # Removed in clause preprocessing : 6
% 0.22/1.40 # Initial clauses in saturation : 58
% 0.22/1.40 # Processed clauses : 2900
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 926
% 0.22/1.40 # ...remaining for further processing : 1974
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 899
% 0.22/1.40 # Backward-rewritten : 498
% 0.22/1.40 # Generated clauses : 7613
% 0.22/1.40 # ...of the previous two non-trivial : 7366
% 0.22/1.40 # Contextual simplify-reflections : 1350
% 0.22/1.40 # Paramodulations : 7613
% 0.22/1.40 # Factorizations : 0
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 577
% 0.22/1.40 # Positive orientable unit clauses : 26
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 14
% 0.22/1.40 # Non-unit-clauses : 537
% 0.22/1.40 # Current number of unprocessed clauses: 599
% 0.22/1.40 # ...number of literals in the above : 2928
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 1397
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 732438
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 60771
% 0.22/1.40 # Non-unit clause-clause subsumptions : 2930
% 0.22/1.40 # Unit Clause-clause subsumption calls : 1647
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 5
% 0.22/1.40 # BW rewrite match successes : 5
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 419627
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.776 s
% 0.22/1.40 # System time : 0.007 s
% 0.22/1.40 # Total time : 0.783 s
% 0.22/1.40 # Maximum resident set size: 11144 pages
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.40 eprover: CPU time limit exceeded, terminating
% 0.22/23.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.41 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45 eprover: No such file or directory
% 0.22/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47 eprover: No such file or directory
% 0.22/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------