%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO014+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n028.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 3.36s 3.02s
% Output : CNFRefutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 96 ( 29 unt; 0 def)
% Number of atoms : 366 ( 6 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 433 ( 163 ~; 188 |; 68 &)
% ( 3 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 164 ( 3 sgn 78 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_35,axiom,
! [X106,X107] :
( ( occurrence_of(X107,tptp0)
& subactivity_occurrence(X106,X107)
& arboreal(X106)
& ~ leaf_occ(X106,X107) )
=> ? [X108,X109,X110] :
( occurrence_of(X108,tptp3)
& next_subocc(X106,X108,tptp0)
& occurrence_of(X109,tptp4)
& next_subocc(X108,X109,tptp0)
& ( occurrence_of(X110,tptp2)
| occurrence_of(X110,tptp1) )
& next_subocc(X109,X110,tptp0)
& leaf(X110,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(goals,conjecture,
! [X111,X112] :
( ( occurrence_of(X112,tptp0)
& subactivity_occurrence(X111,X112)
& arboreal(X111)
& ~ leaf_occ(X111,X112) )
=> ? [X113,X114] :
( occurrence_of(X113,tptp3)
& next_subocc(X111,X113,tptp0)
& ( occurrence_of(X114,tptp2)
| occurrence_of(X114,tptp1) )
& min_precedes(X113,X114,tptp0)
& leaf(X114,tptp0) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( earlier(X22,X23)
& legal(X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
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/sandbox/benchmark/theBenchmark.p',sos_29) ).
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/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_28,axiom,
! [X80,X81,X82,X83] :
( ( occurrence_of(X81,X80)
& arboreal(X82)
& arboreal(X83)
& subactivity_occurrence(X82,X81)
& subactivity_occurrence(X83,X81) )
=> ( min_precedes(X82,X83,X80)
| min_precedes(X83,X82,X80)
| X82 = X83 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
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/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(sos_05,axiom,
! [X11,X12,X13] :
( ( earlier(X11,X12)
& earlier(X12,X13) )
=> earlier(X11,X13) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(c_0_12,plain,
! [X106,X107] :
( ( occurrence_of(X107,tptp0)
& subactivity_occurrence(X106,X107)
& arboreal(X106)
& ~ leaf_occ(X106,X107) )
=> ? [X108,X109,X110] :
( occurrence_of(X108,tptp3)
& next_subocc(X106,X108,tptp0)
& occurrence_of(X109,tptp4)
& next_subocc(X108,X109,tptp0)
& ( occurrence_of(X110,tptp2)
| occurrence_of(X110,tptp1) )
& next_subocc(X109,X110,tptp0)
& leaf(X110,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_35]) ).
fof(c_0_13,negated_conjecture,
~ ! [X111,X112] :
( ( occurrence_of(X112,tptp0)
& subactivity_occurrence(X111,X112)
& arboreal(X111)
& ~ leaf_occ(X111,X112) )
=> ? [X113,X114] :
( occurrence_of(X113,tptp3)
& next_subocc(X111,X113,tptp0)
& ( occurrence_of(X114,tptp2)
| occurrence_of(X114,tptp1) )
& min_precedes(X113,X114,tptp0)
& leaf(X114,tptp0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_14,plain,
! [X351,X352] :
( ( occurrence_of(esk16_1(X351),tptp3)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) )
& ( next_subocc(X351,esk16_1(X351),tptp0)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) )
& ( occurrence_of(esk17_1(X351),tptp4)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) )
& ( next_subocc(esk16_1(X351),esk17_1(X351),tptp0)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) )
& ( occurrence_of(esk18_1(X351),tptp2)
| occurrence_of(esk18_1(X351),tptp1)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) )
& ( next_subocc(esk17_1(X351),esk18_1(X351),tptp0)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) )
& ( leaf(esk18_1(X351),tptp0)
| ~ occurrence_of(X352,tptp0)
| ~ subactivity_occurrence(X351,X352)
| ~ arboreal(X351)
| leaf_occ(X351,X352) ) ),
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_12])])])])])]) ).
fof(c_0_15,negated_conjecture,
! [X358,X359] :
( occurrence_of(esk20_0,tptp0)
& subactivity_occurrence(esk19_0,esk20_0)
& arboreal(esk19_0)
& ~ leaf_occ(esk19_0,esk20_0)
& ( ~ occurrence_of(X359,tptp2)
| ~ occurrence_of(X358,tptp3)
| ~ next_subocc(esk19_0,X358,tptp0)
| ~ min_precedes(X358,X359,tptp0)
| ~ leaf(X359,tptp0) )
& ( ~ occurrence_of(X359,tptp1)
| ~ occurrence_of(X358,tptp3)
| ~ next_subocc(esk19_0,X358,tptp0)
| ~ min_precedes(X358,X359,tptp0)
| ~ leaf(X359,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_13])])])])]) ).
cnf(c_0_16,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_14]) ).
cnf(c_0_17,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_18,plain,
! [X293,X294,X295,X296,X297,X298,X299] :
( ( min_precedes(X293,X294,X295)
| ~ next_subocc(X293,X294,X295) )
& ( ~ min_precedes(X293,X296,X295)
| ~ min_precedes(X296,X294,X295)
| ~ next_subocc(X293,X294,X295) )
& ( min_precedes(X297,esk8_3(X297,X298,X299),X299)
| ~ min_precedes(X297,X298,X299)
| next_subocc(X297,X298,X299) )
& ( min_precedes(esk8_3(X297,X298,X299),X298,X299)
| ~ min_precedes(X297,X298,X299)
| next_subocc(X297,X298,X299) ) ),
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_19,negated_conjecture,
( leaf_occ(X1,esk20_0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
subactivity_occurrence(esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
arboreal(esk19_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
~ leaf_occ(esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( next_subocc(X1,esk16_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_24,plain,
( next_subocc(esk16_1(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_14]) ).
fof(c_0_25,plain,
! [X267,X268,X269] :
( ~ min_precedes(X267,X268,X269)
| precedes(X267,X268) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
cnf(c_0_26,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
next_subocc(esk17_1(esk19_0),esk18_1(esk19_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( leaf_occ(X1,esk20_0)
| next_subocc(X1,esk16_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_29,negated_conjecture,
( leaf_occ(X1,esk20_0)
| next_subocc(esk16_1(X1),esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_17]) ).
fof(c_0_30,plain,
! [X250,X251] :
( ( earlier(X250,X251)
| ~ precedes(X250,X251) )
& ( legal(X251)
| ~ precedes(X250,X251) )
& ( ~ earlier(X250,X251)
| ~ legal(X251)
| precedes(X250,X251) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
cnf(c_0_31,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
min_precedes(esk17_1(esk19_0),esk18_1(esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_33,plain,
! [X323,X324,X325,X326] :
( ~ min_precedes(X323,X324,X325)
| ~ occurrence_of(X326,X325)
| ~ subactivity_occurrence(X324,X326)
| subactivity_occurrence(X323,X326) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_34,negated_conjecture,
next_subocc(esk19_0,esk16_1(esk19_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_21])]),c_0_22]) ).
fof(c_0_35,plain,
! [X309,X310,X311] :
( ( occurrence_of(esk10_3(X309,X310,X311),X309)
| ~ min_precedes(X310,X311,X309) )
& ( subactivity_occurrence(X310,esk10_3(X309,X310,X311))
| ~ min_precedes(X310,X311,X309) )
& ( subactivity_occurrence(X311,esk10_3(X309,X310,X311))
| ~ min_precedes(X310,X311,X309) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
cnf(c_0_36,negated_conjecture,
next_subocc(esk16_1(esk19_0),esk17_1(esk19_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_20]),c_0_21])]),c_0_22]) ).
fof(c_0_37,plain,
! [X247] :
( ~ legal(X247)
| arboreal(X247) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
cnf(c_0_38,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
precedes(esk17_1(esk19_0),esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_40,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_41,negated_conjecture,
min_precedes(esk19_0,esk16_1(esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_26,c_0_34]) ).
cnf(c_0_42,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
min_precedes(esk16_1(esk19_0),esk17_1(esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_26,c_0_36]) ).
cnf(c_0_44,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_45,plain,
! [X319,X320,X321,X322] :
( ~ occurrence_of(X320,X319)
| ~ arboreal(X321)
| ~ arboreal(X322)
| ~ subactivity_occurrence(X321,X320)
| ~ subactivity_occurrence(X322,X320)
| min_precedes(X321,X322,X319)
| min_precedes(X322,X321,X319)
| X321 = X322 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).
cnf(c_0_46,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_47,plain,
( arboreal(X1)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
legal(esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
( subactivity_occurrence(esk19_0,X1)
| ~ subactivity_occurrence(esk16_1(esk19_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0)),tptp0),
inference(spm,[status(thm)],[c_0_42,c_0_32]) ).
cnf(c_0_51,negated_conjecture,
( subactivity_occurrence(esk16_1(esk19_0),X1)
| ~ subactivity_occurrence(esk17_1(esk19_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_43]) ).
cnf(c_0_52,negated_conjecture,
subactivity_occurrence(esk17_1(esk19_0),esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0))),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_53,plain,
( min_precedes(X3,X4,X2)
| min_precedes(X4,X3,X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ arboreal(X3)
| ~ arboreal(X4)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
subactivity_occurrence(esk18_1(esk19_0),esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0))),
inference(spm,[status(thm)],[c_0_46,c_0_32]) ).
cnf(c_0_55,negated_conjecture,
arboreal(esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( subactivity_occurrence(esk19_0,esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0)))
| ~ subactivity_occurrence(esk16_1(esk19_0),esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
subactivity_occurrence(esk16_1(esk19_0),esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_50]),c_0_52])]) ).
cnf(c_0_58,plain,
( leaf(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_14]) ).
cnf(c_0_59,negated_conjecture,
( X1 = esk18_1(esk19_0)
| min_precedes(X1,esk18_1(esk19_0),X2)
| min_precedes(esk18_1(esk19_0),X1,X2)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0)))
| ~ arboreal(X1)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_60,negated_conjecture,
subactivity_occurrence(esk19_0,esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]) ).
fof(c_0_61,plain,
! [X285,X286,X288,X289,X290,X291] :
( ( root(X285,X286)
| min_precedes(esk6_2(X285,X286),X285,X286)
| ~ leaf(X285,X286) )
& ( ~ min_precedes(X285,X288,X286)
| ~ leaf(X285,X286) )
& ( ~ root(X289,X290)
| min_precedes(X289,esk7_2(X289,X290),X290)
| leaf(X289,X290) )
& ( ~ min_precedes(X291,X289,X290)
| min_precedes(X289,esk7_2(X289,X290),X290)
| leaf(X289,X290) ) ),
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])])])])])]) ).
cnf(c_0_62,negated_conjecture,
( leaf_occ(X1,esk20_0)
| leaf(esk18_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_17]) ).
cnf(c_0_63,negated_conjecture,
( esk18_1(esk19_0) = esk19_0
| min_precedes(esk18_1(esk19_0),esk19_0,X1)
| min_precedes(esk19_0,esk18_1(esk19_0),X1)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_21])]) ).
cnf(c_0_64,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_65,plain,
! [X239,X240,X241] :
( ~ earlier(X239,X240)
| ~ earlier(X240,X241)
| earlier(X239,X241) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_66,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_67,plain,
( occurrence_of(esk18_1(X1),tptp2)
| occurrence_of(esk18_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_68,negated_conjecture,
leaf(esk18_1(esk19_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_69,negated_conjecture,
( esk18_1(esk19_0) = esk19_0
| min_precedes(esk19_0,esk18_1(esk19_0),tptp0)
| min_precedes(esk18_1(esk19_0),esk19_0,tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_50]) ).
cnf(c_0_70,negated_conjecture,
~ leaf(esk19_0,tptp0),
inference(spm,[status(thm)],[c_0_64,c_0_41]) ).
cnf(c_0_71,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,negated_conjecture,
earlier(esk17_1(esk19_0),esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_66,c_0_39]) ).
cnf(c_0_73,negated_conjecture,
precedes(esk16_1(esk19_0),esk17_1(esk19_0)),
inference(spm,[status(thm)],[c_0_31,c_0_43]) ).
cnf(c_0_74,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk19_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_75,negated_conjecture,
( leaf_occ(X1,esk20_0)
| occurrence_of(esk18_1(X1),tptp1)
| occurrence_of(esk18_1(X1),tptp2)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_17]) ).
cnf(c_0_76,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk19_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_77,plain,
( occurrence_of(esk16_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_78,plain,
! [X274,X275,X276,X277] :
( ~ min_precedes(X274,X275,X277)
| ~ min_precedes(X274,X276,X277)
| ~ precedes(X275,X276)
| min_precedes(X275,X276,X277) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
cnf(c_0_79,negated_conjecture,
( min_precedes(esk18_1(esk19_0),esk19_0,tptp0)
| min_precedes(esk19_0,esk18_1(esk19_0),tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_80,negated_conjecture,
( earlier(X1,esk18_1(esk19_0))
| ~ earlier(X1,esk17_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
earlier(esk16_1(esk19_0),esk17_1(esk19_0)),
inference(spm,[status(thm)],[c_0_66,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
( ~ next_subocc(esk19_0,X1,tptp0)
| ~ min_precedes(X1,esk18_1(esk19_0),tptp0)
| ~ occurrence_of(esk18_1(esk19_0),tptp1)
| ~ occurrence_of(X1,tptp3) ),
inference(spm,[status(thm)],[c_0_74,c_0_68]) ).
cnf(c_0_83,negated_conjecture,
( occurrence_of(esk18_1(esk19_0),tptp2)
| occurrence_of(esk18_1(esk19_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_84,negated_conjecture,
( ~ next_subocc(esk19_0,X1,tptp0)
| ~ min_precedes(X1,esk18_1(esk19_0),tptp0)
| ~ occurrence_of(esk18_1(esk19_0),tptp2)
| ~ occurrence_of(X1,tptp3) ),
inference(spm,[status(thm)],[c_0_76,c_0_68]) ).
cnf(c_0_85,negated_conjecture,
( leaf_occ(X1,esk20_0)
| occurrence_of(esk16_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_17]) ).
cnf(c_0_86,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_78]) ).
cnf(c_0_87,negated_conjecture,
min_precedes(esk19_0,esk18_1(esk19_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_79]),c_0_68])]) ).
cnf(c_0_88,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_89,negated_conjecture,
earlier(esk16_1(esk19_0),esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( ~ next_subocc(esk19_0,X1,tptp0)
| ~ min_precedes(X1,esk18_1(esk19_0),tptp0)
| ~ occurrence_of(X1,tptp3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
cnf(c_0_91,negated_conjecture,
occurrence_of(esk16_1(esk19_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_92,negated_conjecture,
( min_precedes(X1,esk18_1(esk19_0),tptp0)
| ~ min_precedes(esk19_0,X1,tptp0)
| ~ precedes(X1,esk18_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
precedes(esk16_1(esk19_0),esk18_1(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_48])]) ).
cnf(c_0_94,negated_conjecture,
~ min_precedes(esk16_1(esk19_0),esk18_1(esk19_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_34])]) ).
cnf(c_0_95,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_41])]),c_0_94]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PRO014+1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.34 % Computer : n028.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 01:31:01 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 3.36/3.02 % Version : CSE_E---1.7
% 3.36/3.02 % Problem : theBenchmark.p
% 3.36/3.02 % SZS status Theorem for theBenchmark.p
% 3.36/3.02 % SZS output start CNFRefutation
% See solution above
% 3.48/3.03 % Total time : 2.372s
%------------------------------------------------------------------------------