%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO014+4 : 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 1.48s 1.80s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 123 ( 33 unt; 0 def)
% Number of atoms : 436 ( 17 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 503 ( 190 ~; 208 |; 83 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-3 aty)
% Number of variables : 207 ( 4 sgn 109 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_32,axiom,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& next_subocc(X104,X105,tptp0)
& ( occurrence_of(X106,tptp2)
| occurrence_of(X106,tptp1) )
& next_subocc(X105,X106,tptp0)
& leaf(X106,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(goals,conjecture,
! [X107,X108] :
( ( occurrence_of(X108,tptp0)
& subactivity_occurrence(X107,X108)
& arboreal(X107)
& ~ leaf_occ(X107,X108) )
=> ? [X109,X110] :
( occurrence_of(X109,tptp3)
& next_subocc(X107,X109,tptp0)
& ( occurrence_of(X110,tptp2)
| occurrence_of(X110,tptp1) )
& min_precedes(X109,X110,tptp0)
& leaf(X110,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( min_precedes(X79,X80,X81)
& ~ ? [X82] :
( min_precedes(X79,X82,X81)
& min_precedes(X82,X80,X81) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_27,axiom,
! [X83,X84,X85,X86] :
( ( min_precedes(X83,X84,X85)
& occurrence_of(X86,X85)
& subactivity_occurrence(X84,X86) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(sos_07,axiom,
! [X26,X27] :
( ( leaf(X26,X27)
& ~ atomic(X27) )
=> ? [X28] :
( occurrence_of(X28,X27)
& leaf_occ(X26,X28) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_02,axiom,
! [X9,X10,X11,X12] :
( ( occurrence_of(X10,X9)
& subactivity_occurrence(X11,X10)
& leaf_occ(X12,X10)
& arboreal(X11)
& ~ min_precedes(X11,X12,X9) )
=> X12 = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( occurrence_of(X57,X58)
& subactivity_occurrence(X56,X57)
& leaf(X56,X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_24,axiom,
! [X73,X74,X75] :
( min_precedes(X73,X74,X75)
=> precedes(X73,X74) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_21,axiom,
! [X64,X65] :
( precedes(X64,X65)
<=> ( earlier(X64,X65)
& legal(X65) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(sos_15,axiom,
! [X48,X49] :
( leaf(X48,X49)
<=> ( ( root(X48,X49)
| ? [X50] : min_precedes(X50,X48,X49) )
& ~ ? [X51] : min_precedes(X48,X51,X49) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(sos_30,axiom,
! [X95,X96,X97] :
( ( earlier(X95,X96)
& earlier(X96,X97) )
=> earlier(X95,X97) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(sos_17,axiom,
! [X54,X55] :
( root(X54,X55)
=> legal(X54) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(sos_31,axiom,
! [X98,X99,X100,X101] :
( ( min_precedes(X98,X99,X101)
& min_precedes(X98,X100,X101)
& precedes(X99,X100) )
=> min_precedes(X99,X100,X101) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).
fof(sos_20,axiom,
! [X62,X63] :
( earlier(X62,X63)
=> ~ earlier(X63,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(c_0_18,plain,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105,X106] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& occurrence_of(X105,tptp4)
& next_subocc(X104,X105,tptp0)
& ( occurrence_of(X106,tptp2)
| occurrence_of(X106,tptp1) )
& next_subocc(X105,X106,tptp0)
& leaf(X106,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(c_0_19,negated_conjecture,
~ ! [X107,X108] :
( ( occurrence_of(X108,tptp0)
& subactivity_occurrence(X107,X108)
& arboreal(X107)
& ~ leaf_occ(X107,X108) )
=> ? [X109,X110] :
( occurrence_of(X109,tptp3)
& next_subocc(X107,X109,tptp0)
& ( occurrence_of(X110,tptp2)
| occurrence_of(X110,tptp1) )
& min_precedes(X109,X110,tptp0)
& leaf(X110,tptp0) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_20,plain,
! [X339,X340] :
( ( occurrence_of(esk13_1(X339),tptp3)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) )
& ( next_subocc(X339,esk13_1(X339),tptp0)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) )
& ( occurrence_of(esk14_1(X339),tptp4)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) )
& ( next_subocc(esk13_1(X339),esk14_1(X339),tptp0)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) )
& ( occurrence_of(esk15_1(X339),tptp2)
| occurrence_of(esk15_1(X339),tptp1)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) )
& ( next_subocc(esk14_1(X339),esk15_1(X339),tptp0)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) )
& ( leaf(esk15_1(X339),tptp0)
| ~ occurrence_of(X340,tptp0)
| ~ subactivity_occurrence(X339,X340)
| ~ arboreal(X339)
| leaf_occ(X339,X340) ) ),
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_18])])])])])]) ).
fof(c_0_21,negated_conjecture,
! [X346,X347] :
( occurrence_of(esk17_0,tptp0)
& subactivity_occurrence(esk16_0,esk17_0)
& arboreal(esk16_0)
& ~ leaf_occ(esk16_0,esk17_0)
& ( ~ occurrence_of(X347,tptp2)
| ~ occurrence_of(X346,tptp3)
| ~ next_subocc(esk16_0,X346,tptp0)
| ~ min_precedes(X346,X347,tptp0)
| ~ leaf(X347,tptp0) )
& ( ~ occurrence_of(X347,tptp1)
| ~ occurrence_of(X346,tptp3)
| ~ next_subocc(esk16_0,X346,tptp0)
| ~ min_precedes(X346,X347,tptp0)
| ~ leaf(X347,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_19])])])])]) ).
cnf(c_0_22,plain,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
occurrence_of(esk17_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,plain,
( next_subocc(esk14_1(X1),esk15_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( next_subocc(X1,esk13_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_26,plain,
! [X312,X313,X314,X315,X316,X317,X318] :
( ( min_precedes(X312,X313,X314)
| ~ next_subocc(X312,X313,X314) )
& ( ~ min_precedes(X312,X315,X314)
| ~ min_precedes(X315,X313,X314)
| ~ next_subocc(X312,X313,X314) )
& ( min_precedes(X316,esk12_3(X316,X317,X318),X318)
| ~ min_precedes(X316,X317,X318)
| next_subocc(X316,X317,X318) )
& ( min_precedes(esk12_3(X316,X317,X318),X317,X318)
| ~ min_precedes(X316,X317,X318)
| next_subocc(X316,X317,X318) ) ),
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_26])])])])])]) ).
cnf(c_0_27,negated_conjecture,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
subactivity_occurrence(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,negated_conjecture,
arboreal(esk16_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,negated_conjecture,
~ leaf_occ(esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
( next_subocc(esk14_1(X1),esk15_1(X1),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( next_subocc(X1,esk13_1(X1),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
fof(c_0_33,plain,
! [X320,X321,X322,X323] :
( ~ min_precedes(X320,X321,X322)
| ~ occurrence_of(X323,X322)
| ~ subactivity_occurrence(X321,X323)
| subactivity_occurrence(X320,X323) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).
cnf(c_0_34,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_36,negated_conjecture,
next_subocc(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_29])]),c_0_30]) ).
fof(c_0_37,plain,
! [X26,X27] :
( ( leaf(X26,X27)
& ~ atomic(X27) )
=> ? [X28] :
( occurrence_of(X28,X27)
& leaf_occ(X26,X28) ) ),
inference(fof_simplification,[status(thm)],[sos_07]) ).
cnf(c_0_38,plain,
( leaf(esk15_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
next_subocc(esk16_0,esk13_1(esk16_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_28]),c_0_29])]),c_0_30]) ).
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(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
min_precedes(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
fof(c_0_43,plain,
! [X246,X247] :
( ( occurrence_of(esk4_2(X246,X247),X247)
| ~ leaf(X246,X247)
| atomic(X247) )
& ( leaf_occ(X246,esk4_2(X246,X247))
| ~ leaf(X246,X247)
| atomic(X247) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
cnf(c_0_44,negated_conjecture,
( leaf(esk15_1(X1),tptp0)
| leaf_occ(X1,esk17_0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_23]) ).
fof(c_0_45,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_46,plain,
! [X9,X10,X11,X12] :
( ( occurrence_of(X10,X9)
& subactivity_occurrence(X11,X10)
& leaf_occ(X12,X10)
& arboreal(X11)
& ~ min_precedes(X11,X12,X9) )
=> X12 = X11 ),
inference(fof_simplification,[status(thm)],[sos_02]) ).
cnf(c_0_47,negated_conjecture,
min_precedes(esk16_0,esk13_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_34,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
( subactivity_occurrence(esk13_1(esk16_0),X1)
| ~ subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ subactivity_occurrence(esk15_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_42]) ).
fof(c_0_50,plain,
! [X283,X284,X286,X287,X288] :
( ( occurrence_of(X284,esk9_2(X283,X284))
| ~ leaf_occ(X283,X284) )
& ( subactivity_occurrence(X283,X284)
| ~ leaf_occ(X283,X284) )
& ( leaf(X283,esk9_2(X283,X284))
| ~ leaf_occ(X283,X284) )
& ( ~ occurrence_of(X287,X288)
| ~ subactivity_occurrence(X286,X287)
| ~ leaf(X286,X288)
| leaf_occ(X286,X287) ) ),
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_18])])])])])]) ).
cnf(c_0_51,plain,
( leaf_occ(X1,esk4_2(X1,X2))
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
leaf(esk15_1(esk16_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_53,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_54,plain,
! [X306,X307,X308] :
( ~ min_precedes(X306,X307,X308)
| precedes(X306,X307) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])]) ).
fof(c_0_55,plain,
! [X229,X230,X231,X232] :
( ~ occurrence_of(X230,X229)
| ~ subactivity_occurrence(X231,X230)
| ~ leaf_occ(X232,X230)
| ~ arboreal(X231)
| min_precedes(X231,X232,X229)
| X232 = X231 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
cnf(c_0_56,negated_conjecture,
( subactivity_occurrence(esk16_0,X1)
| ~ subactivity_occurrence(esk13_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_40,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( subactivity_occurrence(esk13_1(esk16_0),X1)
| ~ subactivity_occurrence(esk15_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_59,negated_conjecture,
leaf_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_60,plain,
( occurrence_of(esk4_2(X1,X2),X2)
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_61,plain,
! [X249,X250,X251] :
( ~ occurrence_of(X249,X250)
| ~ occurrence_of(X249,X251)
| X250 = X251 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(c_0_62,plain,
! [X262] :
( ( activity(esk5_1(X262))
| ~ activity_occurrence(X262) )
& ( occurrence_of(X262,esk5_1(X262))
| ~ activity_occurrence(X262) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
fof(c_0_63,plain,
! [X233,X234] :
( ( activity(X233)
| ~ occurrence_of(X234,X233) )
& ( activity_occurrence(X234)
| ~ occurrence_of(X234,X233) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
fof(c_0_64,plain,
! [X297,X298] :
( ( earlier(X297,X298)
| ~ precedes(X297,X298) )
& ( legal(X298)
| ~ precedes(X297,X298) )
& ( ~ earlier(X297,X298)
| ~ legal(X298)
| precedes(X297,X298) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
cnf(c_0_65,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_66,plain,
! [X271,X272,X274,X275,X276,X277] :
( ( root(X271,X272)
| min_precedes(esk7_2(X271,X272),X271,X272)
| ~ leaf(X271,X272) )
& ( ~ min_precedes(X271,X274,X272)
| ~ leaf(X271,X272) )
& ( ~ root(X275,X276)
| min_precedes(X275,esk8_2(X275,X276),X276)
| leaf(X275,X276) )
& ( ~ min_precedes(X277,X275,X276)
| min_precedes(X275,esk8_2(X275,X276),X276)
| leaf(X275,X276) ) ),
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_15])])])])])]) ).
cnf(c_0_67,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_55]) ).
cnf(c_0_68,negated_conjecture,
( subactivity_occurrence(esk16_0,X1)
| ~ subactivity_occurrence(esk15_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,negated_conjecture,
subactivity_occurrence(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_52]),c_0_53]) ).
cnf(c_0_71,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_74,plain,
! [X332,X333,X334] :
( ~ earlier(X332,X333)
| ~ earlier(X333,X334)
| earlier(X332,X334) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_30])]) ).
cnf(c_0_75,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_76,negated_conjecture,
precedes(esk14_1(esk16_0),esk15_1(esk16_0)),
inference(spm,[status(thm)],[c_0_65,c_0_42]) ).
cnf(c_0_77,plain,
( root(X1,X2)
| min_precedes(esk7_2(X1,X2),X1,X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_78,negated_conjecture,
( X1 = esk15_1(esk16_0)
| min_precedes(X1,esk15_1(esk16_0),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk4_2(esk15_1(esk16_0),tptp0))
| ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_59]) ).
cnf(c_0_79,negated_conjecture,
subactivity_occurrence(esk16_0,esk4_2(esk15_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_80,plain,
( X1 = esk5_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_81,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
earlier(esk14_1(esk16_0),esk15_1(esk16_0)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
precedes(esk13_1(esk16_0),esk14_1(esk16_0)),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_84,negated_conjecture,
( min_precedes(esk7_2(esk15_1(esk16_0),tptp0),esk15_1(esk16_0),tptp0)
| root(esk15_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_77,c_0_52]) ).
fof(c_0_85,plain,
! [X281,X282] :
( ~ root(X281,X282)
| legal(X281) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])]) ).
cnf(c_0_86,plain,
( occurrence_of(esk13_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_87,plain,
! [X335,X336,X337,X338] :
( ~ min_precedes(X335,X336,X338)
| ~ min_precedes(X335,X337,X338)
| ~ precedes(X336,X337)
| min_precedes(X336,X337,X338) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_31])]) ).
cnf(c_0_88,negated_conjecture,
( esk15_1(esk16_0) = esk16_0
| min_precedes(esk16_0,esk15_1(esk16_0),X1)
| ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_29])]) ).
cnf(c_0_89,negated_conjecture,
esk5_1(esk4_2(esk15_1(esk16_0),tptp0)) = tptp0,
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
cnf(c_0_90,negated_conjecture,
activity_occurrence(esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_73,c_0_70]) ).
cnf(c_0_91,negated_conjecture,
( earlier(X1,esk15_1(esk16_0))
| ~ earlier(X1,esk14_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
earlier(esk13_1(esk16_0),esk14_1(esk16_0)),
inference(spm,[status(thm)],[c_0_75,c_0_83]) ).
cnf(c_0_93,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_94,negated_conjecture,
( precedes(esk7_2(esk15_1(esk16_0),tptp0),esk15_1(esk16_0))
| root(esk15_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_65,c_0_84]) ).
cnf(c_0_95,plain,
( legal(X1)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,negated_conjecture,
( leaf_occ(X1,esk17_0)
| occurrence_of(esk13_1(X1),tptp3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_23]) ).
cnf(c_0_97,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_87]) ).
cnf(c_0_98,negated_conjecture,
( esk15_1(esk16_0) = esk16_0
| min_precedes(esk16_0,esk15_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_72]),c_0_89]),c_0_90])]) ).
cnf(c_0_99,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_100,negated_conjecture,
earlier(esk13_1(esk16_0),esk15_1(esk16_0)),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
legal(esk15_1(esk16_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk16_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_103,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_104,negated_conjecture,
( esk15_1(esk16_0) = esk16_0
| min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ precedes(X1,esk15_1(esk16_0))
| ~ min_precedes(esk16_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
precedes(esk13_1(esk16_0),esk15_1(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101])]) ).
cnf(c_0_106,plain,
( occurrence_of(esk15_1(X1),tptp2)
| occurrence_of(esk15_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_107,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ next_subocc(esk16_0,X2,tptp0)
| ~ min_precedes(X2,X1,tptp0)
| ~ leaf(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_108,plain,
! [X62,X63] :
( earlier(X62,X63)
=> ~ earlier(X63,X62) ),
inference(fof_simplification,[status(thm)],[sos_20]) ).
cnf(c_0_109,negated_conjecture,
( ~ leaf(X1,tptp0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| ~ occurrence_of(X1,tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_39]),c_0_103])]) ).
cnf(c_0_110,negated_conjecture,
( esk15_1(esk16_0) = esk16_0
| min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_47])]) ).
cnf(c_0_111,negated_conjecture,
( leaf_occ(X1,esk17_0)
| occurrence_of(esk15_1(X1),tptp1)
| occurrence_of(esk15_1(X1),tptp2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk17_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_23]) ).
cnf(c_0_112,negated_conjecture,
( ~ leaf(X1,tptp0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| ~ occurrence_of(X1,tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_39]),c_0_103])]) ).
fof(c_0_113,plain,
! [X295,X296] :
( ~ earlier(X295,X296)
| ~ earlier(X296,X295) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])]) ).
cnf(c_0_114,negated_conjecture,
precedes(esk16_0,esk13_1(esk16_0)),
inference(spm,[status(thm)],[c_0_65,c_0_47]) ).
cnf(c_0_115,negated_conjecture,
( esk15_1(esk16_0) = esk16_0
| ~ occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_52])]) ).
cnf(c_0_116,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_117,negated_conjecture,
( esk15_1(esk16_0) = esk16_0
| ~ occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_110]),c_0_52])]) ).
cnf(c_0_118,plain,
( ~ earlier(X1,X2)
| ~ earlier(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_119,negated_conjecture,
earlier(esk16_0,esk13_1(esk16_0)),
inference(spm,[status(thm)],[c_0_75,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
esk15_1(esk16_0) = esk16_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_121,negated_conjecture,
~ earlier(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_120]),c_0_121]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PRO014+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % 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
% 0.15/0.32 % Computer : n028.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 01:31:15 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.48/1.80 % Version : CSE_E---1.7
% 1.48/1.80 % Problem : theBenchmark.p
% 1.48/1.80 % SZS status Theorem for theBenchmark.p
% 1.48/1.80 % SZS output start CNFRefutation
% See solution above
% 1.59/1.80 % Total time : 1.371s
%------------------------------------------------------------------------------