%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO014+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 : n018.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 05:01:55 PM UTC 2026
% Result : Theorem 3.31s 3.02s
% Output : CNFRefutation 3.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 101 ( 32 unt; 0 def)
% Number of atoms : 383 ( 7 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 456 ( 174 ~; 188 |; 78 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 172 ( 3 sgn 87 !; 16 ?)
% 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,tptp2)
| occurrence_of(X166,tptp1) )
& next_subocc(X165,X166,tptp0)
& leaf(X166,tptp0) ) ),
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,tptp2)
| occurrence_of(X170,tptp1) )
& min_precedes(X169,X170,tptp0)
& leaf(X170,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_45,axiom,
! [X146,X147] :
( ( leaf(X146,X147)
& ~ atomic(X147) )
=> ? [X148] :
( occurrence_of(X148,X147)
& leaf_occ(X146,X148) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
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_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
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_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/benchmark/theBenchmark.p',sos_43) ).
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_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( earlier(X22,X23)
& legal(X23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_21,axiom,
! [X57,X58] :
( leaf(X57,X58)
<=> ( ( root(X57,X58)
| ? [X59] : min_precedes(X59,X57,X58) )
& ~ ? [X60] : min_precedes(X57,X60,X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
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_13,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,tptp2)
| occurrence_of(X166,tptp1) )
& next_subocc(X165,X166,tptp0)
& leaf(X166,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_49]) ).
fof(c_0_14,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,tptp2)
| occurrence_of(X170,tptp1) )
& min_precedes(X169,X170,tptp0)
& leaf(X170,tptp0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_15,plain,
! [X519,X520] :
( ( occurrence_of(esk17_1(X519),tptp3)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) )
& ( next_subocc(X519,esk17_1(X519),tptp0)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) )
& ( occurrence_of(esk18_1(X519),tptp4)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) )
& ( next_subocc(esk17_1(X519),esk18_1(X519),tptp0)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) )
& ( occurrence_of(esk19_1(X519),tptp2)
| occurrence_of(esk19_1(X519),tptp1)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) )
& ( next_subocc(esk18_1(X519),esk19_1(X519),tptp0)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) )
& ( leaf(esk19_1(X519),tptp0)
| ~ occurrence_of(X520,tptp0)
| ~ subactivity_occurrence(X519,X520)
| ~ arboreal(X519)
| leaf_occ(X519,X520) ) ),
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)],[c_0_13])])])])])]) ).
fof(c_0_16,negated_conjecture,
! [X526,X527] :
( occurrence_of(esk21_0,tptp0)
& subactivity_occurrence(esk20_0,esk21_0)
& arboreal(esk20_0)
& ~ leaf_occ(esk20_0,esk21_0)
& ( ~ occurrence_of(X527,tptp2)
| ~ occurrence_of(X526,tptp3)
| ~ next_subocc(esk20_0,X526,tptp0)
| ~ min_precedes(X526,X527,tptp0)
| ~ leaf(X527,tptp0) )
& ( ~ occurrence_of(X527,tptp1)
| ~ occurrence_of(X526,tptp3)
| ~ next_subocc(esk20_0,X526,tptp0)
| ~ min_precedes(X526,X527,tptp0)
| ~ leaf(X527,tptp0) ) ),
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_14])])])])]) ).
cnf(c_0_17,plain,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_18,negated_conjecture,
occurrence_of(esk21_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
( next_subocc(esk18_1(X1),esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_20,plain,
! [X146,X147] :
( ( leaf(X146,X147)
& ~ atomic(X147) )
=> ? [X148] :
( occurrence_of(X148,X147)
& leaf_occ(X146,X148) ) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
cnf(c_0_21,plain,
( leaf(esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( next_subocc(X1,esk17_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,plain,
! [X405,X406,X407,X408,X409,X410,X411] :
( ( min_precedes(X405,X406,X407)
| ~ next_subocc(X405,X406,X407) )
& ( ~ min_precedes(X405,X408,X407)
| ~ min_precedes(X408,X406,X407)
| ~ next_subocc(X405,X406,X407) )
& ( min_precedes(X409,esk8_3(X409,X410,X411),X411)
| ~ min_precedes(X409,X410,X411)
| next_subocc(X409,X410,X411) )
& ( min_precedes(esk8_3(X409,X410,X411),X410,X411)
| ~ min_precedes(X409,X410,X411)
| next_subocc(X409,X410,X411) ) ),
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_24,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
subactivity_occurrence(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
arboreal(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
~ leaf_occ(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(esk18_1(X1),esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
fof(c_0_29,plain,
! [X503,X504] :
( ( occurrence_of(esk16_2(X503,X504),X504)
| ~ leaf(X503,X504)
| atomic(X504) )
& ( leaf_occ(X503,esk16_2(X503,X504))
| ~ leaf(X503,X504)
| atomic(X504) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
cnf(c_0_30,negated_conjecture,
( leaf_occ(X1,esk21_0)
| leaf(esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
fof(c_0_31,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
cnf(c_0_32,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
fof(c_0_33,plain,
! [X435,X436,X437,X438] :
( ~ min_precedes(X435,X436,X437)
| ~ occurrence_of(X438,X437)
| ~ subactivity_occurrence(X436,X438)
| subactivity_occurrence(X435,X438) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_34,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_35,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_36,negated_conjecture,
next_subocc(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_37,plain,
! [X457,X458,X460,X461,X462] :
( ( occurrence_of(X458,esk15_2(X457,X458))
| ~ leaf_occ(X457,X458) )
& ( subactivity_occurrence(X457,X458)
| ~ leaf_occ(X457,X458) )
& ( leaf(X457,esk15_2(X457,X458))
| ~ leaf_occ(X457,X458) )
& ( ~ occurrence_of(X461,X462)
| ~ subactivity_occurrence(X460,X461)
| ~ leaf(X460,X462)
| leaf_occ(X460,X461) ) ),
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_38,plain,
( leaf_occ(X1,esk16_2(X1,X2))
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
leaf(esk19_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_40,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
next_subocc(esk20_0,esk17_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_42,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_33]) ).
cnf(c_0_43,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,plain,
( occurrence_of(esk16_2(X1,X2),X2)
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_45,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_46,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
leaf_occ(esk19_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
fof(c_0_48,plain,
! [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 ),
inference(fof_simplification,[status(thm)],[sos_43]) ).
cnf(c_0_49,negated_conjecture,
min_precedes(esk20_0,esk17_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
( subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ subactivity_occurrence(esk18_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
occurrence_of(esk16_2(esk19_1(esk20_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_39]),c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( subactivity_occurrence(esk18_1(esk20_0),X1)
| ~ subactivity_occurrence(esk19_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_42,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
subactivity_occurrence(esk19_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_54,plain,
! [X496,X497,X498,X499] :
( ~ occurrence_of(X497,X496)
| ~ subactivity_occurrence(X498,X497)
| ~ leaf_occ(X499,X497)
| ~ arboreal(X498)
| min_precedes(X498,X499,X496)
| X499 = X498 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).
cnf(c_0_55,negated_conjecture,
( subactivity_occurrence(esk20_0,X1)
| ~ subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_42,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( subactivity_occurrence(esk17_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0))
| ~ subactivity_occurrence(esk18_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_57,negated_conjecture,
subactivity_occurrence(esk18_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_53])]) ).
fof(c_0_58,plain,
! [X379,X380,X381] :
( ~ min_precedes(X379,X380,X381)
| precedes(X379,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
cnf(c_0_59,plain,
( min_precedes(X3,X4,X2)
| X4 = X3
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ arboreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_60,negated_conjecture,
( subactivity_occurrence(esk20_0,esk16_2(esk19_1(esk20_0),tptp0))
| ~ subactivity_occurrence(esk17_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_61,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk16_2(esk19_1(esk20_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
fof(c_0_62,plain,
! [X362,X363] :
( ( earlier(X362,X363)
| ~ precedes(X362,X363) )
& ( legal(X363)
| ~ precedes(X362,X363) )
& ( ~ earlier(X362,X363)
| ~ legal(X363)
| precedes(X362,X363) ) ),
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_58]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk19_1(esk20_0)
| min_precedes(X1,esk19_1(esk20_0),X2)
| ~ subactivity_occurrence(X1,esk16_2(esk19_1(esk20_0),tptp0))
| ~ arboreal(X1)
| ~ occurrence_of(esk16_2(esk19_1(esk20_0),tptp0),X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_47]) ).
cnf(c_0_65,negated_conjecture,
subactivity_occurrence(esk20_0,esk16_2(esk19_1(esk20_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
fof(c_0_66,plain,
! [X397,X398,X400,X401,X402,X403] :
( ( root(X397,X398)
| min_precedes(esk6_2(X397,X398),X397,X398)
| ~ leaf(X397,X398) )
& ( ~ min_precedes(X397,X400,X398)
| ~ leaf(X397,X398) )
& ( ~ root(X401,X402)
| min_precedes(X401,esk7_2(X401,X402),X402)
| leaf(X401,X402) )
& ( ~ min_precedes(X403,X401,X402)
| min_precedes(X401,esk7_2(X401,X402),X402)
| leaf(X401,X402) ) ),
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_21])])])])])]) ).
fof(c_0_67,plain,
! [X351,X352,X353] :
( ~ earlier(X351,X352)
| ~ earlier(X352,X353)
| earlier(X351,X353) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_68,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,negated_conjecture,
precedes(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_63,c_0_45]) ).
cnf(c_0_70,plain,
( occurrence_of(esk19_1(X1),tptp2)
| occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_71,negated_conjecture,
( esk19_1(esk20_0) = esk20_0
| min_precedes(esk20_0,esk19_1(esk20_0),X1)
| ~ occurrence_of(esk16_2(esk19_1(esk20_0),tptp0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_26])]) ).
cnf(c_0_72,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,negated_conjecture,
earlier(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
precedes(esk17_1(esk20_0),esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_63,c_0_43]) ).
cnf(c_0_76,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk20_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_77,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk19_1(X1),tptp1)
| occurrence_of(esk19_1(X1),tptp2)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_18]) ).
cnf(c_0_78,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk20_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_79,plain,
( occurrence_of(esk17_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_80,plain,
! [X386,X387,X388,X389] :
( ~ min_precedes(X386,X387,X389)
| ~ min_precedes(X386,X388,X389)
| ~ precedes(X387,X388)
| min_precedes(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
cnf(c_0_81,negated_conjecture,
( esk19_1(esk20_0) = esk20_0
| min_precedes(esk20_0,esk19_1(esk20_0),tptp0) ),
inference(spm,[status(thm)],[c_0_71,c_0_51]) ).
cnf(c_0_82,negated_conjecture,
~ leaf(esk20_0,tptp0),
inference(spm,[status(thm)],[c_0_72,c_0_49]) ).
cnf(c_0_83,negated_conjecture,
( earlier(X1,esk19_1(esk20_0))
| ~ earlier(X1,esk18_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
earlier(esk17_1(esk20_0),esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_68,c_0_75]) ).
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(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ occurrence_of(esk19_1(esk20_0),tptp1)
| ~ occurrence_of(X1,tptp3) ),
inference(spm,[status(thm)],[c_0_76,c_0_39]) ).
cnf(c_0_87,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| occurrence_of(esk19_1(esk20_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_88,negated_conjecture,
( ~ next_subocc(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ occurrence_of(esk19_1(esk20_0),tptp2)
| ~ occurrence_of(X1,tptp3) ),
inference(spm,[status(thm)],[c_0_78,c_0_39]) ).
cnf(c_0_89,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk17_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_18]) ).
cnf(c_0_90,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_91,negated_conjecture,
min_precedes(esk20_0,esk19_1(esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_81]),c_0_82]) ).
cnf(c_0_92,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_93,negated_conjecture,
earlier(esk17_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_94,negated_conjecture,
legal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_85,c_0_69]) ).
cnf(c_0_95,negated_conjecture,
( ~ next_subocc(esk20_0,X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ occurrence_of(X1,tptp3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_96,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_97,negated_conjecture,
( min_precedes(X1,esk19_1(esk20_0),tptp0)
| ~ min_precedes(esk20_0,X1,tptp0)
| ~ precedes(X1,esk19_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
precedes(esk17_1(esk20_0),esk19_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94])]) ).
cnf(c_0_99,negated_conjecture,
~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_41])]) ).
cnf(c_0_100,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_49])]),c_0_99]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO014+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
% 0.15/0.33 % Computer : n018.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:31:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.31/3.02 % Version : CSE_E---1.7
% 3.31/3.02 % Problem : theBenchmark.p
% 3.31/3.02 % SZS status Theorem for theBenchmark.p
% 3.31/3.02 % SZS output start CNFRefutation
% See solution above
% 3.43/3.02 % Total time : 2.372s
%------------------------------------------------------------------------------