%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO016+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %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 : 300s
% DateTime : Tue May 5 05:01:56 PM UTC 2026
% Result : Theorem 1.76s 1.86s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 101 ( 39 unt; 0 def)
% Number of atoms : 470 ( 14 equ)
% Maximal formula atoms : 130 ( 4 avg)
% Number of connectives : 604 ( 235 ~; 254 |; 94 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 177 ( 3 sgn 92 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',sos_49) ).
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/benchmark/theBenchmark.p',goals) ).
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/benchmark/theBenchmark.p',sos_22) ).
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/benchmark/theBenchmark.p',sos_29) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( occurrence_of(X104,X105)
& subactivity_occurrence(X103,X104)
& leaf(X103,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
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/benchmark/theBenchmark.p',sos_37) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/benchmark/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/benchmark/theBenchmark.p',sos_36) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( earlier(X22,X23)
& legal(X23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_40,axiom,
! [X127,X128,X129,X130] :
( ( next_subocc(X128,X127,X130)
& next_subocc(X129,X127,X130) )
=> X128 = X129 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
fof(sos_05,axiom,
! [X11,X12,X13] :
( ( earlier(X11,X12)
& earlier(X12,X13) )
=> earlier(X11,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(sos_18,axiom,
! [X46,X47,X48,X49] :
( ( min_precedes(X46,X47,X49)
& min_precedes(X46,X48,X49)
& precedes(X47,X48) )
=> min_precedes(X47,X48,X49) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(c_0_15,plain,
! [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) ) ),
inference(fof_simplification,[status(thm)],[sos_49]) ).
fof(c_0_16,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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_17,plain,
! [X523,X524] :
( ( occurrence_of(esk17_2(X523,X524),tptp3)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) )
& ( next_subocc(X523,esk17_2(X523,X524),tptp0)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) )
& ( occurrence_of(esk18_2(X523,X524),tptp4)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) )
& ( next_subocc(esk17_2(X523,X524),esk18_2(X523,X524),tptp0)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) )
& ( occurrence_of(esk19_2(X523,X524),tptp1)
| occurrence_of(esk19_2(X523,X524),tptp2)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) )
& ( next_subocc(esk18_2(X523,X524),esk19_2(X523,X524),tptp0)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) )
& ( leaf_occ(esk19_2(X523,X524),X524)
| ~ occurrence_of(X524,tptp0)
| ~ subactivity_occurrence(X523,X524)
| ~ arboreal(X523)
| leaf_occ(X523,X524) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_18,negated_conjecture,
! [X530,X531] :
( occurrence_of(esk21_0,tptp0)
& subactivity_occurrence(esk20_0,esk21_0)
& arboreal(esk20_0)
& ~ leaf_occ(esk20_0,esk21_0)
& ( occurrence_of(X531,tptp2)
| occurrence_of(X531,tptp1)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(esk23_2(X530,X531),tptp1)
| occurrence_of(X531,tptp1)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( min_precedes(X530,esk23_2(X530,X531),tptp0)
| occurrence_of(X531,tptp1)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(X531,tptp2)
| occurrence_of(esk22_2(X530,X531),tptp2)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(esk23_2(X530,X531),tptp1)
| occurrence_of(esk22_2(X530,X531),tptp2)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( min_precedes(X530,esk23_2(X530,X531),tptp0)
| occurrence_of(esk22_2(X530,X531),tptp2)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(X531,tptp2)
| min_precedes(X530,esk22_2(X530,X531),tptp0)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(esk23_2(X530,X531),tptp1)
| min_precedes(X530,esk22_2(X530,X531),tptp0)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( min_precedes(X530,esk23_2(X530,X531),tptp0)
| min_precedes(X530,esk22_2(X530,X531),tptp0)
| ~ occurrence_of(X531,tptp1)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(X531,tptp2)
| occurrence_of(X531,tptp1)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(esk23_2(X530,X531),tptp1)
| occurrence_of(X531,tptp1)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( min_precedes(X530,esk23_2(X530,X531),tptp0)
| occurrence_of(X531,tptp1)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(X531,tptp2)
| occurrence_of(esk22_2(X530,X531),tptp2)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(esk23_2(X530,X531),tptp1)
| occurrence_of(esk22_2(X530,X531),tptp2)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( min_precedes(X530,esk23_2(X530,X531),tptp0)
| occurrence_of(esk22_2(X530,X531),tptp2)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(X531,tptp2)
| min_precedes(X530,esk22_2(X530,X531),tptp0)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( occurrence_of(esk23_2(X530,X531),tptp1)
| min_precedes(X530,esk22_2(X530,X531),tptp0)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) )
& ( min_precedes(X530,esk23_2(X530,X531),tptp0)
| min_precedes(X530,esk22_2(X530,X531),tptp0)
| ~ occurrence_of(X531,tptp2)
| ~ occurrence_of(X530,tptp3)
| ~ next_subocc(esk20_0,X530,tptp0)
| ~ min_precedes(X530,X531,tptp0)
| ~ leaf_occ(X531,esk21_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_19,plain,
( next_subocc(esk18_2(X1,X2),esk19_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
occurrence_of(esk21_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_21,plain,
! [X409,X410,X411,X412,X413,X414,X415] :
( ( min_precedes(X409,X410,X411)
| ~ next_subocc(X409,X410,X411) )
& ( ~ min_precedes(X409,X412,X411)
| ~ min_precedes(X412,X410,X411)
| ~ next_subocc(X409,X410,X411) )
& ( min_precedes(X413,esk8_3(X413,X414,X415),X415)
| ~ min_precedes(X413,X414,X415)
| next_subocc(X413,X414,X415) )
& ( min_precedes(esk8_3(X413,X414,X415),X414,X415)
| ~ min_precedes(X413,X414,X415)
| next_subocc(X413,X414,X415) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])]) ).
cnf(c_0_22,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(esk18_2(X1,esk21_0),esk19_2(X1,esk21_0),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
subactivity_occurrence(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
arboreal(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
~ leaf_occ(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,plain,
( leaf_occ(esk19_2(X1,X2),X2)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_27,plain,
! [X439,X440,X441,X442] :
( ~ min_precedes(X439,X440,X441)
| ~ occurrence_of(X442,X441)
| ~ subactivity_occurrence(X440,X442)
| subactivity_occurrence(X439,X442) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_28,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
next_subocc(esk18_2(esk20_0,esk21_0),esk19_2(esk20_0,esk21_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),c_0_25]) ).
fof(c_0_30,plain,
! [X461,X462,X464,X465,X466] :
( ( occurrence_of(X462,esk15_2(X461,X462))
| ~ leaf_occ(X461,X462) )
& ( subactivity_occurrence(X461,X462)
| ~ leaf_occ(X461,X462) )
& ( leaf(X461,esk15_2(X461,X462))
| ~ leaf_occ(X461,X462) )
& ( ~ occurrence_of(X465,X466)
| ~ subactivity_occurrence(X464,X465)
| ~ leaf(X464,X466)
| leaf_occ(X464,X465) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])]) ).
cnf(c_0_31,negated_conjecture,
( leaf_occ(esk19_2(X1,esk21_0),esk21_0)
| leaf_occ(X1,esk21_0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_32,plain,
( occurrence_of(esk18_2(X1,X2),tptp4)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_33,plain,
! [X475,X476,X477,X478] :
( ~ occurrence_of(X475,X477)
| ~ leaf_occ(X476,X475)
| ~ min_precedes(X476,X478,X477) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])]) ).
cnf(c_0_34,plain,
( subactivity_occurrence(X1,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_35,negated_conjecture,
min_precedes(esk18_2(esk20_0,esk21_0),esk19_2(esk20_0,esk21_0),tptp0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
leaf_occ(esk19_2(esk20_0,esk21_0),esk21_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_24])]),c_0_25]) ).
fof(c_0_38,plain,
! [X361,X362] :
( ( ~ arboreal(X361)
| atomic(X362)
| ~ occurrence_of(X361,X362) )
& ( ~ atomic(X362)
| arboreal(X361)
| ~ occurrence_of(X361,X362) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_39,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk18_2(X1,esk21_0),tptp4)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
cnf(c_0_40,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X110,X111,X112,X113] :
( ( occurrence_of(X112,X113)
& ~ atomic(X113)
& leaf_occ(X110,X112)
& leaf_occ(X111,X112) )
=> X110 = X111 ),
inference(fof_simplification,[status(thm)],[sos_36]) ).
cnf(c_0_42,plain,
( next_subocc(X1,esk17_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( subactivity_occurrence(esk18_2(esk20_0,esk21_0),X1)
| ~ subactivity_occurrence(esk19_2(esk20_0,esk21_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,negated_conjecture,
subactivity_occurrence(esk19_2(esk20_0,esk21_0),esk21_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
occurrence_of(esk18_2(esk20_0,esk21_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_47,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_48,negated_conjecture,
( ~ leaf_occ(esk18_2(esk20_0,esk21_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
fof(c_0_49,plain,
! [X471,X472,X473,X474] :
( ~ occurrence_of(X473,X474)
| atomic(X474)
| ~ leaf_occ(X471,X473)
| ~ leaf_occ(X472,X473)
| X471 = X472 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_50,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(X1,esk17_2(X1,esk21_0),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_20]) ).
cnf(c_0_51,negated_conjecture,
subactivity_occurrence(esk18_2(esk20_0,esk21_0),esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_20]),c_0_44])]) ).
cnf(c_0_52,negated_conjecture,
arboreal(esk18_2(esk20_0,esk21_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_53,negated_conjecture,
~ leaf_occ(esk18_2(esk20_0,esk21_0),esk21_0),
inference(spm,[status(thm)],[c_0_48,c_0_20]) ).
cnf(c_0_54,plain,
( next_subocc(esk17_2(X1,X2),esk18_2(X1,X2),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_56,plain,
! [X383,X384,X385] :
( ~ min_precedes(X383,X384,X385)
| precedes(X383,X384) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
cnf(c_0_57,negated_conjecture,
next_subocc(esk18_2(esk20_0,esk21_0),esk17_2(esk18_2(esk20_0,esk21_0),esk21_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(esk17_2(X1,esk21_0),esk18_2(X1,esk21_0),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_59,negated_conjecture,
( X1 = esk19_2(esk20_0,esk21_0)
| atomic(X2)
| ~ leaf_occ(X1,esk21_0)
| ~ occurrence_of(esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_37]) ).
cnf(c_0_60,negated_conjecture,
leaf_occ(esk19_2(esk18_2(esk20_0,esk21_0),esk21_0),esk21_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_51]),c_0_52])]),c_0_53]) ).
fof(c_0_61,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_62,plain,
! [X366,X367] :
( ( earlier(X366,X367)
| ~ precedes(X366,X367) )
& ( legal(X367)
| ~ precedes(X366,X367) )
& ( ~ earlier(X366,X367)
| ~ legal(X367)
| precedes(X366,X367) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
cnf(c_0_63,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,negated_conjecture,
min_precedes(esk18_2(esk20_0,esk21_0),esk17_2(esk18_2(esk20_0,esk21_0),esk21_0),tptp0),
inference(spm,[status(thm)],[c_0_28,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
next_subocc(esk17_2(esk20_0,esk21_0),esk18_2(esk20_0,esk21_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_23]),c_0_24])]),c_0_25]) ).
fof(c_0_66,plain,
! [X488,X489,X490,X491] :
( ~ next_subocc(X489,X488,X491)
| ~ next_subocc(X490,X488,X491)
| X489 = X490 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_40])]) ).
cnf(c_0_67,negated_conjecture,
( esk19_2(esk18_2(esk20_0,esk21_0),esk21_0) = esk19_2(esk20_0,esk21_0)
| atomic(X1)
| ~ occurrence_of(esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_69,plain,
! [X355,X356,X357] :
( ~ earlier(X355,X356)
| ~ earlier(X356,X357)
| earlier(X355,X357) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_70,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
precedes(esk18_2(esk20_0,esk21_0),esk17_2(esk18_2(esk20_0,esk21_0),esk21_0)),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_72,negated_conjecture,
min_precedes(esk17_2(esk20_0,esk21_0),esk18_2(esk20_0,esk21_0),tptp0),
inference(spm,[status(thm)],[c_0_28,c_0_65]) ).
cnf(c_0_73,plain,
( X1 = X4
| ~ next_subocc(X1,X2,X3)
| ~ next_subocc(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,negated_conjecture,
esk19_2(esk18_2(esk20_0,esk21_0),esk21_0) = esk19_2(esk20_0,esk21_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_20]),c_0_68]) ).
cnf(c_0_75,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,negated_conjecture,
earlier(esk18_2(esk20_0,esk21_0),esk17_2(esk18_2(esk20_0,esk21_0),esk21_0)),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
precedes(esk17_2(esk20_0,esk21_0),esk18_2(esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_63,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( X1 = esk18_2(esk20_0,esk21_0)
| ~ next_subocc(X1,esk19_2(esk20_0,esk21_0),tptp0) ),
inference(spm,[status(thm)],[c_0_73,c_0_29]) ).
cnf(c_0_79,negated_conjecture,
next_subocc(esk18_2(esk18_2(esk20_0,esk21_0),esk21_0),esk19_2(esk20_0,esk21_0),tptp0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_51]),c_0_52])]),c_0_53]),c_0_74]) ).
fof(c_0_80,plain,
! [X390,X391,X392,X393] :
( ~ min_precedes(X390,X391,X393)
| ~ min_precedes(X390,X392,X393)
| ~ precedes(X391,X392)
| min_precedes(X391,X392,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
cnf(c_0_81,negated_conjecture,
next_subocc(esk20_0,esk17_2(esk20_0,esk21_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_23]),c_0_24])]),c_0_25]) ).
cnf(c_0_82,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_83,negated_conjecture,
( earlier(X1,esk17_2(esk18_2(esk20_0,esk21_0),esk21_0))
| ~ earlier(X1,esk18_2(esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
earlier(esk17_2(esk20_0,esk21_0),esk18_2(esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_70,c_0_77]) ).
cnf(c_0_85,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_86,negated_conjecture,
next_subocc(esk17_2(esk18_2(esk20_0,esk21_0),esk21_0),esk18_2(esk18_2(esk20_0,esk21_0),esk21_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_51]),c_0_52])]),c_0_53]) ).
cnf(c_0_87,negated_conjecture,
esk18_2(esk18_2(esk20_0,esk21_0),esk21_0) = esk18_2(esk20_0,esk21_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_88,plain,
( min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X1,X4,X3)
| ~ precedes(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_89,negated_conjecture,
min_precedes(esk20_0,esk17_2(esk20_0,esk21_0),tptp0),
inference(spm,[status(thm)],[c_0_28,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( ~ min_precedes(X1,esk17_2(esk20_0,esk21_0),tptp0)
| ~ min_precedes(esk20_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_91,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_92,negated_conjecture,
earlier(esk17_2(esk20_0,esk21_0),esk17_2(esk18_2(esk20_0,esk21_0),esk21_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
legal(esk17_2(esk18_2(esk20_0,esk21_0),esk21_0)),
inference(spm,[status(thm)],[c_0_85,c_0_71]) ).
cnf(c_0_94,negated_conjecture,
( X1 = esk17_2(esk20_0,esk21_0)
| ~ next_subocc(X1,esk18_2(esk20_0,esk21_0),tptp0) ),
inference(spm,[status(thm)],[c_0_73,c_0_65]) ).
cnf(c_0_95,negated_conjecture,
next_subocc(esk17_2(esk18_2(esk20_0,esk21_0),esk21_0),esk18_2(esk20_0,esk21_0),tptp0),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( ~ min_precedes(esk20_0,X1,tptp0)
| ~ precedes(X1,esk17_2(esk20_0,esk21_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_97,negated_conjecture,
precedes(esk17_2(esk20_0,esk21_0),esk17_2(esk18_2(esk20_0,esk21_0),esk21_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93])]) ).
cnf(c_0_98,negated_conjecture,
esk17_2(esk18_2(esk20_0,esk21_0),esk21_0) = esk17_2(esk20_0,esk21_0),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
~ precedes(esk17_2(esk20_0,esk21_0),esk17_2(esk20_0,esk21_0)),
inference(spm,[status(thm)],[c_0_96,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO016+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 01:32:32 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.76/1.86 % Version : CSE_E---1.7
% 1.76/1.86 % Problem : theBenchmark.p
% 1.76/1.86 % SZS status Theorem for theBenchmark.p
% 1.76/1.86 % SZS output start CNFRefutation
% See solution above
% 1.76/1.86 % Total time : 1.368s
%------------------------------------------------------------------------------