%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO012+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 : n019.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 05:01:54 PM UTC 2026
% Result : Theorem 2.36s 2.00s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of formulae : 102 ( 30 unt; 0 def)
% Number of atoms : 298 ( 15 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 319 ( 123 ~; 129 |; 47 &)
% ( 3 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 167 ( 4 sgn 88 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X111] :
( occurrence_of(X111,tptp0)
=> ? [X112,X113] :
( occurrence_of(X112,tptp3)
& root_occ(X112,X111)
& ( occurrence_of(X113,tptp2)
| occurrence_of(X113,tptp1) )
& min_precedes(X112,X113,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_35,axiom,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108,X109] :
( occurrence_of(X107,tptp3)
& root_occ(X107,X106)
& occurrence_of(X108,tptp4)
& min_precedes(X107,X108,tptp0)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& min_precedes(X108,X109,tptp0)
& ! [X110] :
( min_precedes(X107,X110,tptp0)
=> ( X110 = X108
| X110 = X109 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity(X1)
& activity_occurrence(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( activity(X4)
& occurrence_of(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
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_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
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_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
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_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_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_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_41,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).
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(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( occurrence_of(X101,X102)
& subactivity_occurrence(X100,X101)
& root(X100,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(c_0_17,negated_conjecture,
~ ! [X111] :
( occurrence_of(X111,tptp0)
=> ? [X112,X113] :
( occurrence_of(X112,tptp3)
& root_occ(X112,X111)
& ( occurrence_of(X113,tptp2)
| occurrence_of(X113,tptp1) )
& min_precedes(X112,X113,tptp0) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X349,X353] :
( ( occurrence_of(esk16_1(X349),tptp3)
| ~ occurrence_of(X349,tptp0) )
& ( root_occ(esk16_1(X349),X349)
| ~ occurrence_of(X349,tptp0) )
& ( occurrence_of(esk17_1(X349),tptp4)
| ~ occurrence_of(X349,tptp0) )
& ( min_precedes(esk16_1(X349),esk17_1(X349),tptp0)
| ~ occurrence_of(X349,tptp0) )
& ( occurrence_of(esk18_1(X349),tptp2)
| occurrence_of(esk18_1(X349),tptp1)
| ~ occurrence_of(X349,tptp0) )
& ( min_precedes(esk17_1(X349),esk18_1(X349),tptp0)
| ~ occurrence_of(X349,tptp0) )
& ( ~ min_precedes(esk16_1(X349),X353,tptp0)
| X353 = esk17_1(X349)
| X353 = esk18_1(X349)
| ~ occurrence_of(X349,tptp0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])])])]) ).
fof(c_0_19,negated_conjecture,
! [X355,X356] :
( occurrence_of(esk19_0,tptp0)
& ( ~ occurrence_of(X356,tptp2)
| ~ occurrence_of(X355,tptp3)
| ~ root_occ(X355,esk19_0)
| ~ min_precedes(X355,X356,tptp0) )
& ( ~ occurrence_of(X356,tptp1)
| ~ occurrence_of(X355,tptp3)
| ~ root_occ(X355,esk19_0)
| ~ min_precedes(X355,X356,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_17])])])])]) ).
fof(c_0_20,plain,
! [X227,X228] :
( ( activity(X227)
| ~ occurrence_of(X228,X227) )
& ( activity_occurrence(X228)
| ~ occurrence_of(X228,X227) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])]) ).
cnf(c_0_21,plain,
( occurrence_of(esk18_1(X1),tptp2)
| occurrence_of(esk18_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
occurrence_of(esk19_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X229] :
( ( activity(esk1_1(X229))
| ~ activity_occurrence(X229) )
& ( occurrence_of(X229,esk1_1(X229))
| ~ activity_occurrence(X229) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])]) ).
cnf(c_0_24,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( occurrence_of(esk18_1(esk19_0),tptp1)
| occurrence_of(esk18_1(esk19_0),tptp2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X265,X266,X267] :
( ~ min_precedes(X265,X266,X267)
| precedes(X265,X266) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
cnf(c_0_27,plain,
( min_precedes(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X243,X244] :
( ( ~ arboreal(X243)
| atomic(X244)
| ~ occurrence_of(X243,X244) )
& ( ~ atomic(X244)
| arboreal(X243)
| ~ occurrence_of(X243,X244) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_29,plain,
( occurrence_of(X1,esk1_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
activity_occurrence(esk18_1(esk19_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_24]) ).
fof(c_0_31,plain,
! [X248,X249] :
( ( earlier(X248,X249)
| ~ precedes(X248,X249) )
& ( legal(X249)
| ~ precedes(X248,X249) )
& ( ~ earlier(X248,X249)
| ~ legal(X249)
| precedes(X248,X249) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
cnf(c_0_32,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
min_precedes(esk17_1(esk19_0),esk18_1(esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_34,plain,
( atomic(X2)
| ~ arboreal(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
occurrence_of(esk18_1(esk19_0),esk1_1(esk18_1(esk19_0))),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X245] :
( ~ legal(X245)
| arboreal(X245) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
cnf(c_0_37,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
precedes(esk17_1(esk19_0),esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
( min_precedes(esk16_1(X1),esk17_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_40,plain,
! [X307,X308,X309] :
( ( occurrence_of(esk10_3(X307,X308,X309),X307)
| ~ min_precedes(X308,X309,X307) )
& ( subactivity_occurrence(X308,esk10_3(X307,X308,X309))
| ~ min_precedes(X308,X309,X307) )
& ( subactivity_occurrence(X309,esk10_3(X307,X308,X309))
| ~ min_precedes(X308,X309,X307) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
cnf(c_0_41,negated_conjecture,
( atomic(esk1_1(esk18_1(esk19_0)))
| ~ arboreal(esk18_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( arboreal(X1)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
legal(esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X321,X322,X323,X324] :
( ~ min_precedes(X321,X322,X323)
| ~ occurrence_of(X324,X323)
| ~ subactivity_occurrence(X322,X324)
| subactivity_occurrence(X321,X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
fof(c_0_45,plain,
! [X237,X238,X239] :
( ~ earlier(X237,X238)
| ~ earlier(X238,X239)
| earlier(X237,X239) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
cnf(c_0_46,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,negated_conjecture,
min_precedes(esk16_1(esk19_0),esk17_1(esk19_0),tptp0),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
fof(c_0_48,plain,
! [X317,X318,X319,X320] :
( ~ occurrence_of(X318,X317)
| ~ arboreal(X319)
| ~ arboreal(X320)
| ~ subactivity_occurrence(X319,X318)
| ~ subactivity_occurrence(X320,X318)
| min_precedes(X319,X320,X317)
| min_precedes(X320,X319,X317)
| X319 = X320 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).
cnf(c_0_49,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_51,negated_conjecture,
atomic(esk1_1(esk18_1(esk19_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43])]) ).
cnf(c_0_52,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_44]) ).
cnf(c_0_53,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_54,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_55,plain,
( occurrence_of(esk16_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_56,plain,
( root_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_58,negated_conjecture,
earlier(esk17_1(esk19_0),esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
cnf(c_0_59,negated_conjecture,
precedes(esk16_1(esk19_0),esk17_1(esk19_0)),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_60,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_48]) ).
cnf(c_0_61,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_49,c_0_33]) ).
cnf(c_0_62,negated_conjecture,
arboreal(esk18_1(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_35]),c_0_51])]) ).
cnf(c_0_63,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_52,c_0_47]) ).
cnf(c_0_64,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk19_0),esk18_1(esk19_0)),tptp0),
inference(spm,[status(thm)],[c_0_53,c_0_33]) ).
cnf(c_0_65,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_54,c_0_33]) ).
cnf(c_0_66,negated_conjecture,
occurrence_of(esk16_1(esk19_0),tptp3),
inference(spm,[status(thm)],[c_0_55,c_0_22]) ).
cnf(c_0_67,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_41]) ).
cnf(c_0_68,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk19_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_69,negated_conjecture,
root_occ(esk16_1(esk19_0),esk19_0),
inference(spm,[status(thm)],[c_0_56,c_0_22]) ).
cnf(c_0_70,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk19_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_71,plain,
! [X272,X273,X274,X275] :
( ~ min_precedes(X272,X273,X275)
| ~ min_precedes(X272,X274,X275)
| ~ precedes(X273,X274)
| min_precedes(X273,X274,X275) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
cnf(c_0_72,negated_conjecture,
( earlier(X1,esk18_1(esk19_0))
| ~ earlier(X1,esk17_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_73,negated_conjecture,
earlier(esk16_1(esk19_0),esk17_1(esk19_0)),
inference(spm,[status(thm)],[c_0_46,c_0_59]) ).
fof(c_0_74,plain,
! [X231,X232,X233] :
( ~ occurrence_of(X231,X232)
| ~ occurrence_of(X231,X233)
| X232 = X233 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
fof(c_0_75,plain,
! [X337,X338,X340,X341,X342] :
( ( occurrence_of(X338,esk14_2(X337,X338))
| ~ root_occ(X337,X338) )
& ( subactivity_occurrence(X337,X338)
| ~ root_occ(X337,X338) )
& ( root(X337,esk14_2(X337,X338))
| ~ root_occ(X337,X338) )
& ( ~ occurrence_of(X341,X342)
| ~ subactivity_occurrence(X340,X341)
| ~ root(X340,X342)
| root_occ(X340,X341) ) ),
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_33])])])])])]) ).
cnf(c_0_76,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_60,c_0_61]),c_0_62])]) ).
cnf(c_0_77,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_63,c_0_64]),c_0_65])]) ).
cnf(c_0_78,negated_conjecture,
arboreal(esk16_1(esk19_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_66]),c_0_67])]) ).
cnf(c_0_79,negated_conjecture,
( ~ min_precedes(esk16_1(esk19_0),X1,tptp0)
| ~ occurrence_of(X1,tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_66])]) ).
cnf(c_0_80,negated_conjecture,
( ~ min_precedes(esk16_1(esk19_0),X1,tptp0)
| ~ occurrence_of(X1,tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_69]),c_0_66])]) ).
cnf(c_0_81,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_71]) ).
cnf(c_0_82,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_83,negated_conjecture,
earlier(esk16_1(esk19_0),esk18_1(esk19_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_84,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_85,plain,
( occurrence_of(X1,esk14_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
fof(c_0_86,plain,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
inference(fof_simplification,[status(thm)],[sos_14]) ).
cnf(c_0_87,negated_conjecture,
( esk18_1(esk19_0) = esk16_1(esk19_0)
| min_precedes(esk18_1(esk19_0),esk16_1(esk19_0),X1)
| min_precedes(esk16_1(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_76,c_0_77]),c_0_78])]) ).
cnf(c_0_88,negated_conjecture,
~ min_precedes(esk16_1(esk19_0),esk18_1(esk19_0),tptp0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_25]),c_0_80]) ).
cnf(c_0_89,negated_conjecture,
( min_precedes(X1,esk18_1(esk19_0),tptp0)
| ~ min_precedes(esk17_1(esk19_0),X1,tptp0)
| ~ precedes(X1,esk18_1(esk19_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_33]) ).
cnf(c_0_90,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_82,c_0_83]),c_0_43])]) ).
cnf(c_0_91,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk19_0,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_22]) ).
cnf(c_0_92,negated_conjecture,
occurrence_of(esk19_0,esk14_2(esk16_1(esk19_0),esk19_0)),
inference(spm,[status(thm)],[c_0_85,c_0_69]) ).
fof(c_0_93,plain,
! [X262,X263,X264] :
( ~ min_precedes(X262,X263,X264)
| ~ root(X263,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
cnf(c_0_94,negated_conjecture,
( esk18_1(esk19_0) = esk16_1(esk19_0)
| min_precedes(esk18_1(esk19_0),esk16_1(esk19_0),tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_64]),c_0_88]) ).
cnf(c_0_95,negated_conjecture,
~ min_precedes(esk17_1(esk19_0),esk16_1(esk19_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_88]) ).
cnf(c_0_96,plain,
( root(X1,esk14_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_97,negated_conjecture,
esk14_2(esk16_1(esk19_0),esk19_0) = tptp0,
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_98,plain,
( ~ min_precedes(X1,X2,X3)
| ~ root(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
min_precedes(esk18_1(esk19_0),esk16_1(esk19_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_94]),c_0_95]) ).
cnf(c_0_100,negated_conjecture,
root(esk16_1(esk19_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_69]),c_0_97]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO012+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n019.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:30:29 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.36/2.00 % Version : CSE_E---1.7
% 2.36/2.00 % Problem : theBenchmark.p
% 2.36/2.00 % SZS status Theorem for theBenchmark.p
% 2.36/2.00 % SZS output start CNFRefutation
% See solution above
% 2.36/2.01 % Total time : 1.368s
%------------------------------------------------------------------------------