%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO012+4 : 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 : n025.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 131.32s 64.21s
% Output : CNFRefutation 131.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 127 ( 18 unt; 0 def)
% Number of atoms : 425 ( 35 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 502 ( 204 ~; 219 |; 61 &)
% ( 4 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 251 ( 15 sgn 90 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos,axiom,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(goals,conjecture,
! [X107] :
( occurrence_of(X107,tptp0)
=> ? [X108,X109] :
( occurrence_of(X108,tptp3)
& root_occ(X108,X107)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& min_precedes(X108,X109,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( occurrence_of(X60,X61)
& subactivity_occurrence(X59,X60)
& root(X59,X61) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( occurrence_of(X93,X94)
& root_occ(X91,X93)
& root_occ(X92,X93) )
=> X91 = X92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104,X105] :
( occurrence_of(X103,tptp3)
& root_occ(X103,X102)
& occurrence_of(X104,tptp4)
& min_precedes(X103,X104,tptp0)
& ( occurrence_of(X105,tptp2)
| occurrence_of(X105,tptp1) )
& min_precedes(X104,X105,tptp0)
& ! [X106] :
( min_precedes(X103,X106,tptp0)
=> ( X106 = X104
| X106 = X105 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_14,axiom,
! [X45,X46] :
( atocc(X45,X46)
<=> ? [X47] :
( subactivity(X46,X47)
& atomic(X47)
& occurrence_of(X45,X47) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
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/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_05,axiom,
! [X19,X20] :
( root(X20,X19)
=> ? [X21] :
( subactivity(X21,X19)
& atocc(X20,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( occurrence_of(X25,X22)
& subactivity_occurrence(X23,X25)
& subactivity_occurrence(X24,X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(sos_23,axiom,
! [X69,X70,X71] :
( min_precedes(X69,X70,X71)
=> ? [X72] :
( root(X72,X71)
& min_precedes(X72,X70,X71) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(c_0_16,plain,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_17,negated_conjecture,
~ ! [X107] :
( occurrence_of(X107,tptp0)
=> ? [X108,X109] :
( occurrence_of(X108,tptp3)
& root_occ(X108,X107)
& ( occurrence_of(X109,tptp2)
| occurrence_of(X109,tptp1) )
& min_precedes(X108,X109,tptp0) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X219,X220] :
( ( root(esk1_2(X219,X220),X219)
| ~ occurrence_of(X220,X219)
| atomic(X219) )
& ( subactivity_occurrence(esk1_2(X219,X220),X220)
| ~ occurrence_of(X220,X219)
| atomic(X219) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_19,negated_conjecture,
! [X343,X344] :
( occurrence_of(esk16_0,tptp0)
& ( ~ occurrence_of(X344,tptp2)
| ~ occurrence_of(X343,tptp3)
| ~ root_occ(X343,esk16_0)
| ~ min_precedes(X343,X344,tptp0) )
& ( ~ occurrence_of(X344,tptp1)
| ~ occurrence_of(X343,tptp3)
| ~ root_occ(X343,esk16_0)
| ~ min_precedes(X343,X344,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,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_21,plain,
! [X287,X288,X290,X291,X292] :
( ( occurrence_of(X288,esk10_2(X287,X288))
| ~ root_occ(X287,X288) )
& ( subactivity_occurrence(X287,X288)
| ~ root_occ(X287,X288) )
& ( root(X287,esk10_2(X287,X288))
| ~ root_occ(X287,X288) )
& ( ~ occurrence_of(X291,X292)
| ~ subactivity_occurrence(X290,X291)
| ~ root(X290,X292)
| root_occ(X290,X291) ) ),
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_19])])])])])]) ).
cnf(c_0_22,plain,
( subactivity_occurrence(esk1_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_27,plain,
( root(esk1_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X326,X327,X328,X329] :
( ~ occurrence_of(X328,X329)
| ~ root_occ(X326,X328)
| ~ root_occ(X327,X328)
| X326 = X327 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_29,negated_conjecture,
( root_occ(esk1_2(tptp0,esk16_0),esk16_0)
| ~ root(esk1_2(tptp0,esk16_0),X1)
| ~ occurrence_of(esk16_0,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_24]) ).
cnf(c_0_31,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
root_occ(esk1_2(tptp0,esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_23])]) ).
fof(c_0_33,plain,
! [X337,X341] :
( ( occurrence_of(esk13_1(X337),tptp3)
| ~ occurrence_of(X337,tptp0) )
& ( root_occ(esk13_1(X337),X337)
| ~ occurrence_of(X337,tptp0) )
& ( occurrence_of(esk14_1(X337),tptp4)
| ~ occurrence_of(X337,tptp0) )
& ( min_precedes(esk13_1(X337),esk14_1(X337),tptp0)
| ~ occurrence_of(X337,tptp0) )
& ( occurrence_of(esk15_1(X337),tptp2)
| occurrence_of(esk15_1(X337),tptp1)
| ~ occurrence_of(X337,tptp0) )
& ( min_precedes(esk14_1(X337),esk15_1(X337),tptp0)
| ~ occurrence_of(X337,tptp0) )
& ( ~ min_precedes(esk13_1(X337),X341,tptp0)
| X341 = esk14_1(X337)
| X341 = esk15_1(X337)
| ~ occurrence_of(X337,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_32])])])])]) ).
fof(c_0_34,plain,
! [X231,X232] :
( ( activity(X231)
| ~ occurrence_of(X232,X231) )
& ( activity_occurrence(X232)
| ~ occurrence_of(X232,X231) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
fof(c_0_35,plain,
! [X247,X248,X249] :
( ~ occurrence_of(X247,X248)
| ~ occurrence_of(X247,X249)
| X248 = X249 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(c_0_36,plain,
! [X260] :
( ( activity(esk5_1(X260))
| ~ activity_occurrence(X260) )
& ( occurrence_of(X260,esk5_1(X260))
| ~ activity_occurrence(X260) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
cnf(c_0_37,negated_conjecture,
( X1 = esk1_2(tptp0,esk16_0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(esk16_0,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( root_occ(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X263,X264,X266,X267,X268] :
( ( subactivity(X264,esk6_2(X263,X264))
| ~ atocc(X263,X264) )
& ( atomic(esk6_2(X263,X264))
| ~ atocc(X263,X264) )
& ( occurrence_of(X263,esk6_2(X263,X264))
| ~ atocc(X263,X264) )
& ( ~ subactivity(X267,X268)
| ~ atomic(X268)
| ~ occurrence_of(X266,X268)
| atocc(X266,X267) ) ),
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_14])])])])])]) ).
cnf(c_0_43,negated_conjecture,
( esk1_2(tptp0,esk16_0) = esk13_1(esk16_0)
| ~ occurrence_of(esk16_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23])]) ).
cnf(c_0_44,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_45,plain,
( X1 = esk5_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_39]) ).
cnf(c_0_46,plain,
( occurrence_of(X1,esk6_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_47,plain,
! [X269,X270,X272,X273,X274,X275] :
( ( root(X269,X270)
| min_precedes(esk7_2(X269,X270),X269,X270)
| ~ leaf(X269,X270) )
& ( ~ min_precedes(X269,X272,X270)
| ~ leaf(X269,X270) )
& ( ~ root(X273,X274)
| min_precedes(X273,esk8_2(X273,X274),X274)
| leaf(X273,X274) )
& ( ~ min_precedes(X275,X273,X274)
| min_precedes(X273,esk8_2(X273,X274),X274)
| leaf(X273,X274) ) ),
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_48,negated_conjecture,
esk1_2(tptp0,esk16_0) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_41]),c_0_44])]) ).
cnf(c_0_49,plain,
( esk6_2(X1,X2) = esk5_1(X1)
| ~ atocc(X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X237,X238] :
( ( subactivity(esk2_2(X237,X238),X237)
| ~ root(X238,X237) )
& ( atocc(X238,esk2_2(X237,X238))
| ~ root(X238,X237) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])]) ).
cnf(c_0_51,plain,
( min_precedes(X1,esk8_2(X1,X2),X2)
| leaf(X1,X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
root(esk13_1(esk16_0),tptp0),
inference(rw,[status(thm)],[c_0_30,c_0_48]) ).
cnf(c_0_53,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ atocc(X1,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_49]) ).
cnf(c_0_54,plain,
( atocc(X1,esk2_2(X2,X1))
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk16_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_56,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| min_precedes(esk13_1(esk16_0),esk8_2(esk13_1(esk16_0),tptp0),tptp0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(rw,[status(thm)],[c_0_32,c_0_48]) ).
cnf(c_0_58,plain,
( X2 = esk14_1(X1)
| X2 = esk15_1(X1)
| ~ min_precedes(esk13_1(X1),X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_59,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ root(X1,X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_60,plain,
( occurrence_of(esk13_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_61,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk16_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_62,plain,
! [X310,X311,X312,X313,X314,X315,X316] :
( ( min_precedes(X310,X311,X312)
| ~ next_subocc(X310,X311,X312) )
& ( ~ min_precedes(X310,X313,X312)
| ~ min_precedes(X313,X311,X312)
| ~ next_subocc(X310,X311,X312) )
& ( min_precedes(X314,esk12_3(X314,X315,X316),X316)
| ~ min_precedes(X314,X315,X316)
| next_subocc(X314,X315,X316) )
& ( min_precedes(esk12_3(X314,X315,X316),X315,X316)
| ~ min_precedes(X314,X315,X316)
| next_subocc(X314,X315,X316) ) ),
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_63,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk8_2(esk13_1(esk16_0),tptp0),tptp1)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57])]) ).
cnf(c_0_64,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk15_1(esk16_0)
| esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_56]),c_0_23])]) ).
cnf(c_0_65,negated_conjecture,
occurrence_of(esk13_1(esk16_0),esk5_1(esk13_1(esk16_0))),
inference(spm,[status(thm)],[c_0_59,c_0_52]) ).
cnf(c_0_66,plain,
( esk5_1(esk13_1(X1)) = tptp3
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_45,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk8_2(esk13_1(esk16_0),tptp0),tptp2)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_56]),c_0_57])]) ).
cnf(c_0_68,plain,
( min_precedes(X1,esk12_3(X1,X2,X3),X3)
| next_subocc(X1,X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_69,plain,
( min_precedes(esk13_1(X1),esk14_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_70,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp1)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_23])]) ).
cnf(c_0_72,plain,
( occurrence_of(esk15_1(X1),tptp2)
| occurrence_of(esk15_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_73,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp2)
| ~ occurrence_of(esk13_1(esk16_0),tptp3) ),
inference(spm,[status(thm)],[c_0_67,c_0_64]) ).
cnf(c_0_74,plain,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| min_precedes(esk13_1(X1),esk12_3(esk13_1(X1),esk14_1(X1),tptp0),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]) ).
cnf(c_0_76,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(spm,[status(thm)],[c_0_72,c_0_23]) ).
cnf(c_0_77,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0)
| ~ occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_71])]) ).
cnf(c_0_78,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_79,negated_conjecture,
( next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0)
| min_precedes(esk13_1(esk16_0),esk12_3(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),tptp0) ),
inference(spm,[status(thm)],[c_0_74,c_0_23]) ).
cnf(c_0_80,negated_conjecture,
( esk8_2(esk13_1(esk16_0),tptp0) = esk14_1(esk16_0)
| leaf(esk13_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
fof(c_0_81,plain,
! [X318,X319,X320,X321] :
( ~ min_precedes(X318,X319,X320)
| ~ occurrence_of(X321,X320)
| ~ subactivity_occurrence(X319,X321)
| subactivity_occurrence(X318,X321) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])]) ).
cnf(c_0_82,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,negated_conjecture,
( next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0)
| ~ leaf(esk13_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( leaf(esk13_1(esk16_0),tptp0)
| min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_56,c_0_80]) ).
cnf(c_0_85,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_81]) ).
cnf(c_0_86,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
fof(c_0_87,plain,
! [X240,X241,X242] :
( ( occurrence_of(esk3_3(X240,X241,X242),X240)
| ~ min_precedes(X241,X242,X240) )
& ( subactivity_occurrence(X241,esk3_3(X240,X241,X242))
| ~ min_precedes(X241,X242,X240) )
& ( subactivity_occurrence(X242,esk3_3(X240,X241,X242))
| ~ min_precedes(X241,X242,X240) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).
cnf(c_0_88,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_85,c_0_86]) ).
cnf(c_0_89,plain,
( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_90,plain,
( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_91,negated_conjecture,
( subactivity_occurrence(esk13_1(esk16_0),esk3_3(X1,X2,esk14_1(esk16_0)))
| ~ min_precedes(X2,esk14_1(esk16_0),X1)
| ~ occurrence_of(esk3_3(X1,X2,esk14_1(esk16_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_92,plain,
( root_occ(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2)
| ~ root(X1,X4)
| ~ occurrence_of(esk3_3(X2,X1,X3),X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_90]) ).
cnf(c_0_93,plain,
( occurrence_of(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_94,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk3_3(X1,X2,esk14_1(esk16_0)))
| ~ min_precedes(X2,esk14_1(esk16_0),X1)
| ~ root(esk13_1(esk16_0),X3)
| ~ occurrence_of(esk3_3(X1,X2,esk14_1(esk16_0)),tptp0)
| ~ occurrence_of(esk3_3(X1,X2,esk14_1(esk16_0)),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_91]) ).
cnf(c_0_95,plain,
( occurrence_of(X1,esk10_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_96,plain,
! [X300,X301,X302] :
( ( root(esk11_3(X300,X301,X302),X302)
| ~ min_precedes(X300,X301,X302) )
& ( min_precedes(esk11_3(X300,X301,X302),X301,X302)
| ~ min_precedes(X300,X301,X302) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_23])])])]) ).
cnf(c_0_97,plain,
( root_occ(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2)
| ~ root(X1,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_98,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk3_3(tptp0,X1,esk14_1(esk16_0)))
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0)
| ~ root(esk13_1(esk16_0),X2)
| ~ occurrence_of(esk3_3(tptp0,X1,esk14_1(esk16_0)),X2) ),
inference(spm,[status(thm)],[c_0_94,c_0_93]) ).
cnf(c_0_99,plain,
( esk10_2(X1,X2) = esk5_1(X2)
| ~ root_occ(X1,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_95]) ).
cnf(c_0_100,plain,
( min_precedes(esk11_3(X1,X2,X3),X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_101,plain,
( X1 = X2
| ~ min_precedes(X2,X3,X4)
| ~ root_occ(X1,esk3_3(X4,X2,X3))
| ~ root(X2,X4)
| ~ occurrence_of(esk3_3(X4,X2,X3),X5) ),
inference(spm,[status(thm)],[c_0_31,c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( root_occ(esk13_1(esk16_0),esk3_3(tptp0,X1,esk14_1(esk16_0)))
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_93]),c_0_52])]) ).
cnf(c_0_103,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ root_occ(X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_99]) ).
cnf(c_0_104,plain,
( subactivity_occurrence(esk11_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0)
| ~ root(X1,tptp0)
| ~ occurrence_of(esk3_3(tptp0,X1,esk14_1(esk16_0)),X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
( occurrence_of(esk3_3(X1,X2,X3),esk5_1(esk3_3(X1,X2,X3)))
| ~ min_precedes(X2,X3,X1)
| ~ root(X2,X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_97]) ).
cnf(c_0_107,plain,
( root_occ(esk11_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ root(esk11_3(X1,X2,X3),X5)
| ~ occurrence_of(X4,X5)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_104]) ).
cnf(c_0_108,plain,
( root(esk11_3(X1,X2,X3),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_109,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0)
| ~ root(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_110,plain,
( root_occ(esk11_3(X1,X2,X3),X4)
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_111,negated_conjecture,
( esk11_3(X1,esk14_1(esk16_0),tptp0) = esk13_1(esk16_0)
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_100]),c_0_108]) ).
cnf(c_0_112,negated_conjecture,
( root_occ(esk13_1(esk16_0),X1)
| ~ min_precedes(X2,esk14_1(esk16_0),tptp0)
| ~ subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_113,plain,
( min_precedes(esk14_1(X1),esk15_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_114,negated_conjecture,
( root_occ(esk13_1(esk16_0),X1)
| ~ subactivity_occurrence(esk14_1(esk16_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_112,c_0_86]) ).
cnf(c_0_115,plain,
( subactivity_occurrence(esk14_1(X1),X2)
| ~ subactivity_occurrence(esk15_1(X1),X2)
| ~ occurrence_of(X2,tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_85,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,X2,X3)
| ~ subactivity_occurrence(esk14_1(esk16_0),esk3_3(X3,X1,X2))
| ~ root(X1,X3)
| ~ occurrence_of(esk3_3(X3,X1,X2),tptp0)
| ~ occurrence_of(esk3_3(X3,X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_101,c_0_114]) ).
cnf(c_0_117,plain,
( subactivity_occurrence(esk14_1(X1),esk3_3(X2,X3,esk15_1(X1)))
| ~ min_precedes(X3,esk15_1(X1),X2)
| ~ occurrence_of(esk3_3(X2,X3,esk15_1(X1)),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_115,c_0_89]) ).
cnf(c_0_118,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk15_1(esk16_0),X2)
| ~ root(X1,X2)
| ~ occurrence_of(esk3_3(X2,X1,esk15_1(esk16_0)),tptp0)
| ~ occurrence_of(esk3_3(X2,X1,esk15_1(esk16_0)),X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_23])]) ).
cnf(c_0_119,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ root(X1,tptp0)
| ~ occurrence_of(esk3_3(tptp0,X1,esk15_1(esk16_0)),X2) ),
inference(spm,[status(thm)],[c_0_118,c_0_93]) ).
cnf(c_0_120,negated_conjecture,
( esk13_1(esk16_0) = X1
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ root(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_119,c_0_106]) ).
cnf(c_0_121,negated_conjecture,
( esk11_3(X1,esk15_1(esk16_0),tptp0) = esk13_1(esk16_0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_100]),c_0_108]) ).
cnf(c_0_122,negated_conjecture,
( min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_100,c_0_121]) ).
cnf(c_0_123,negated_conjecture,
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_122,c_0_113]),c_0_23])]) ).
cnf(c_0_124,negated_conjecture,
~ occurrence_of(esk15_1(esk16_0),tptp2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_123]),c_0_57]),c_0_71])]) ).
cnf(c_0_125,negated_conjecture,
~ occurrence_of(esk15_1(esk16_0),tptp1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_123]),c_0_57]),c_0_71])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_76,c_0_124]),c_0_125]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO012+4 : 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
% 0.18/0.34 % Computer : n025.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue May 5 01:30:28 EDT 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.35 % start to proof: theBenchmark
% 131.32/64.21 % Version : CSE_E---1.7
% 131.32/64.21 % Problem : theBenchmark.p
% 131.32/64.21 % SZS status Theorem for theBenchmark.p
% 131.32/64.21 % SZS output start CNFRefutation
% See solution above
% 131.72/64.60 % Total time : 47.689s
%------------------------------------------------------------------------------