TSTP Solution File: PRO002+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : PRO002+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 17:44:52 EDT 2022
% Result : Theorem 0.31s 9.49s
% Output : CNFRefutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 6 unt; 0 def)
% Number of atoms : 345 ( 29 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 448 ( 194 ~; 181 |; 57 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-4 aty)
% Number of variables : 288 ( 26 sgn 109 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_33) ).
fof(goals,conjecture,
~ ? [X194,X195,X196] :
( tptp1(X194,tptp0,X195)
& occurrence_of(X196,X194) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',goals) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_25) ).
fof(sos_65,axiom,
! [X181,X182,X183] :
( tptp1(X181,X182,X183)
=> ( activity(X181)
& ~ atomic(X181)
& ~ atomic(X182)
& root(X183,X182) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_65) ).
fof(sos_43,axiom,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_43) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( occurrence_of(X163,tptp4)
& root_occ(X163,X162)
& ( occurrence_of(X164,tptp3)
| occurrence_of(X164,tptp2) )
& leaf_occ(X164,X162)
& next_subocc(X163,X164,tptp0) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_49) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_14) ).
fof(sos_42,axiom,
! [X135,X136,X137,X138] :
( ( occurrence_of(X136,X135)
& subactivity_occurrence(X137,X136)
& root_occ(X138,X136)
& arboreal(X137)
& ~ min_precedes(X138,X137,X135) )
=> X138 = X137 ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_42) ).
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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_22) ).
fof(sos_46,axiom,
! [X149,X150,X151] :
( min_precedes(X149,X150,X151)
=> arboreal(X149) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_46) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_07) ).
fof(sos_66,axiom,
! [X184,X185,X186,X187] :
( ( tptp1(X184,X185,X186)
& occurrence_of(X187,X184) )
=> ? [X188,X189,X190,X191] :
( send_message(X188,X189,X190,X186,X185)
& occurrence_of(X191,X188)
& root_occ(X191,X187) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_66) ).
fof(sos_62,axiom,
! [X165,X166,X167,X168,X169] :
( send_message(X165,X166,X167,X168,X169)
=> ( activity(X165)
& atomic(X165)
& root(X166,X167)
& root(X168,X169) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_62) ).
fof(sos_64,axiom,
! [X175,X176,X177,X178,X179,X180] :
( ( send_message(X175,X176,X177,X178,X179)
& occurrence_of(X180,X175) )
=> min_precedes(X178,X180,X179) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_64) ).
fof(sos_63,axiom,
! [X170,X171,X172,X173,X174] :
( send_message(X170,X171,X172,X173,X174)
=> ( X170 != tptp4
& X170 != tptp3
& X170 != tptp2 ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sos_63) ).
fof(c_0_16,plain,
! [X8,X9,X10] :
( ~ occurrence_of(X8,X9)
| ~ occurrence_of(X8,X10)
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
fof(c_0_17,plain,
! [X103,X104,X103,X104,X106] :
( ( occurrence_of(X104,esk13_2(X103,X104))
| ~ root_occ(X103,X104) )
& ( subactivity_occurrence(X103,X104)
| ~ root_occ(X103,X104) )
& ( root(X103,esk13_2(X103,X104))
| ~ root_occ(X103,X104) )
& ( ~ occurrence_of(X104,X106)
| ~ subactivity_occurrence(X103,X104)
| ~ root(X103,X106)
| root_occ(X103,X104) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_33])])])])])])]) ).
fof(c_0_18,negated_conjecture,
~ ~ ? [X194,X195,X196] :
( tptp1(X194,tptp0,X195)
& occurrence_of(X196,X194) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_19,plain,
( X1 = X2
| ~ occurrence_of(X3,X2)
| ~ occurrence_of(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,plain,
( occurrence_of(X2,esk13_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X74,X75,X76] :
( ( occurrence_of(esk15_3(X74,X75,X76),X74)
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X75,esk15_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) )
& ( subactivity_occurrence(X76,esk15_3(X74,X75,X76))
| ~ min_precedes(X75,X76,X74) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])])]) ).
fof(c_0_22,plain,
! [X184,X185,X186] :
( ( activity(X184)
| ~ tptp1(X184,X185,X186) )
& ( ~ atomic(X184)
| ~ tptp1(X184,X185,X186) )
& ( ~ atomic(X185)
| ~ tptp1(X184,X185,X186) )
& ( root(X186,X185)
| ~ tptp1(X184,X185,X186) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_65])])])]) ).
fof(c_0_23,negated_conjecture,
( tptp1(esk1_0,tptp0,esk2_0)
& occurrence_of(esk3_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_24,plain,
( X1 = esk13_2(X2,X3)
| ~ root_occ(X2,X3)
| ~ occurrence_of(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( occurrence_of(esk15_3(X3,X1,X2),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( root(X3,X2)
| ~ tptp1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
tptp1(esk1_0,tptp0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( root(X1,esk13_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_29,plain,
( esk13_2(X1,esk15_3(X2,X3,X4)) = X2
| ~ root_occ(X1,esk15_3(X2,X3,X4))
| ~ min_precedes(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
( root_occ(X1,X2)
| ~ root(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,negated_conjecture,
root(esk2_0,tptp0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_32,plain,
! [X143,X144,X145,X146] :
( ~ occurrence_of(X144,X143)
| ~ subactivity_occurrence(X145,X144)
| ~ leaf_occ(X146,X144)
| ~ arboreal(X145)
| min_precedes(X145,X146,X143)
| X146 = X145 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_43])])]) ).
fof(c_0_33,plain,
! [X165] :
( ( occurrence_of(esk8_1(X165),tptp4)
| ~ occurrence_of(X165,tptp0) )
& ( root_occ(esk8_1(X165),X165)
| ~ occurrence_of(X165,tptp0) )
& ( occurrence_of(esk9_1(X165),tptp3)
| occurrence_of(esk9_1(X165),tptp2)
| ~ occurrence_of(X165,tptp0) )
& ( leaf_occ(esk9_1(X165),X165)
| ~ occurrence_of(X165,tptp0) )
& ( next_subocc(esk8_1(X165),esk9_1(X165),tptp0)
| ~ occurrence_of(X165,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])])]) ).
cnf(c_0_34,plain,
( root(X1,X2)
| ~ root_occ(X1,esk15_3(X2,X3,X4))
| ~ min_precedes(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( root_occ(esk2_0,X1)
| ~ subactivity_occurrence(esk2_0,X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_36,plain,
! [X39,X40,X41] :
( ~ min_precedes(X39,X40,X41)
| ~ root(X40,X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_14])])]) ).
fof(c_0_37,plain,
! [X139,X140,X141,X142] :
( ~ occurrence_of(X140,X139)
| ~ subactivity_occurrence(X141,X140)
| ~ root_occ(X142,X140)
| ~ arboreal(X141)
| min_precedes(X142,X141,X139)
| X142 = X141 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[sos_42])])]) ).
fof(c_0_38,plain,
! [X65,X66,X67,X68,X65,X66,X67] :
( ( min_precedes(X65,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( ~ min_precedes(X65,X68,X67)
| ~ min_precedes(X68,X66,X67)
| ~ next_subocc(X65,X66,X67) )
& ( min_precedes(X65,esk14_3(X65,X66,X67),X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) )
& ( min_precedes(esk14_3(X65,X66,X67),X66,X67)
| ~ min_precedes(X65,X66,X67)
| next_subocc(X65,X66,X67) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).
cnf(c_0_39,plain,
( X1 = X2
| min_precedes(X2,X1,X3)
| ~ arboreal(X2)
| ~ leaf_occ(X1,X4)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( leaf_occ(esk9_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( root(esk2_0,X1)
| ~ subactivity_occurrence(esk2_0,esk15_3(X1,X2,X3))
| ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk15_3(X1,X2,X3),tptp0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( subactivity_occurrence(X2,esk15_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_43,plain,
( ~ root(X1,X2)
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( X1 = X2
| min_precedes(X1,X2,X3)
| ~ arboreal(X2)
| ~ root_occ(X1,X4)
| ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( root_occ(esk8_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_46,plain,
! [X152,X153,X154] :
( ~ min_precedes(X152,X153,X154)
| arboreal(X152) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])])])]) ).
cnf(c_0_47,plain,
( ~ next_subocc(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ min_precedes(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
( next_subocc(esk8_1(X1),esk9_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( esk9_1(X1) = X2
| min_precedes(X2,esk9_1(X1),X3)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X2)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( ~ min_precedes(X1,esk2_0,X2)
| ~ occurrence_of(esk15_3(X2,X1,esk2_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_51,plain,
( esk8_1(X1) = X2
| min_precedes(esk8_1(X1),X2,X3)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X2)
| ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X1,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,plain,
( subactivity_occurrence(X1,esk15_3(X3,X1,X2))
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_53,plain,
( arboreal(X1)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
( ~ min_precedes(X1,esk9_1(X2),tptp0)
| ~ min_precedes(esk8_1(X2),X1,tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( esk9_1(esk15_3(X1,X2,X3)) = X3
| min_precedes(X3,esk9_1(esk15_3(X1,X2,X3)),X4)
| ~ min_precedes(X2,X3,X1)
| ~ arboreal(X3)
| ~ occurrence_of(esk15_3(X1,X2,X3),tptp0)
| ~ occurrence_of(esk15_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_49,c_0_42]) ).
cnf(c_0_56,negated_conjecture,
~ min_precedes(X1,esk2_0,tptp0),
inference(spm,[status(thm)],[c_0_50,c_0_25]) ).
cnf(c_0_57,plain,
( esk8_1(esk15_3(X1,X2,X3)) = X2
| min_precedes(esk8_1(esk15_3(X1,X2,X3)),X2,X4)
| ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk15_3(X1,X2,X3),tptp0)
| ~ occurrence_of(esk15_3(X1,X2,X3),X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53]) ).
cnf(c_0_58,plain,
( esk9_1(esk15_3(X1,X2,X3)) = X3
| ~ min_precedes(esk8_1(esk15_3(X1,X2,X3)),X3,tptp0)
| ~ min_precedes(X2,X3,X1)
| ~ arboreal(X3)
| ~ occurrence_of(esk15_3(X1,X2,X3),tptp0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( esk8_1(esk15_3(X1,esk2_0,X2)) = esk2_0
| ~ min_precedes(esk2_0,X2,X1)
| ~ occurrence_of(esk15_3(X1,esk2_0,X2),tptp0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_60,plain,
! [X19,X20] :
( ( ~ arboreal(X19)
| atomic(X20)
| ~ occurrence_of(X19,X20) )
& ( ~ atomic(X20)
| arboreal(X19)
| ~ occurrence_of(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
fof(c_0_61,plain,
! [X192,X193,X194,X195] :
( ( send_message(esk4_4(X192,X193,X194,X195),esk5_4(X192,X193,X194,X195),esk6_4(X192,X193,X194,X195),X194,X193)
| ~ tptp1(X192,X193,X194)
| ~ occurrence_of(X195,X192) )
& ( occurrence_of(esk7_4(X192,X193,X194,X195),esk4_4(X192,X193,X194,X195))
| ~ tptp1(X192,X193,X194)
| ~ occurrence_of(X195,X192) )
& ( root_occ(esk7_4(X192,X193,X194,X195),X195)
| ~ tptp1(X192,X193,X194)
| ~ occurrence_of(X195,X192) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_66])])])])])]) ).
fof(c_0_62,plain,
! [X170,X171,X172,X173,X174] :
( ( activity(X170)
| ~ send_message(X170,X171,X172,X173,X174) )
& ( atomic(X170)
| ~ send_message(X170,X171,X172,X173,X174) )
& ( root(X171,X172)
| ~ send_message(X170,X171,X172,X173,X174) )
& ( root(X173,X174)
| ~ send_message(X170,X171,X172,X173,X174) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_62])])]) ).
cnf(c_0_63,plain,
( occurrence_of(esk9_1(X1),tptp2)
| occurrence_of(esk9_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_64,negated_conjecture,
( esk9_1(esk15_3(X1,esk2_0,X2)) = X2
| ~ min_precedes(esk2_0,X2,tptp0)
| ~ min_precedes(esk2_0,X2,X1)
| ~ arboreal(X2)
| ~ occurrence_of(esk15_3(X1,esk2_0,X2),tptp0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( arboreal(X1)
| ~ occurrence_of(X1,X2)
| ~ atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( occurrence_of(esk7_4(X2,X3,X4,X1),esk4_4(X2,X3,X4,X1))
| ~ occurrence_of(X1,X2)
| ~ tptp1(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,plain,
( atomic(X1)
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,plain,
( send_message(esk4_4(X2,X3,X4,X1),esk5_4(X2,X3,X4,X1),esk6_4(X2,X3,X4,X1),X4,X3)
| ~ occurrence_of(X1,X2)
| ~ tptp1(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
fof(c_0_69,plain,
! [X181,X182,X183,X184,X185,X186] :
( ~ send_message(X181,X182,X183,X184,X185)
| ~ occurrence_of(X186,X181)
| min_precedes(X184,X186,X185) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_64])]) ).
cnf(c_0_70,negated_conjecture,
( occurrence_of(X1,tptp3)
| occurrence_of(X1,tptp2)
| ~ min_precedes(esk2_0,X1,tptp0)
| ~ min_precedes(esk2_0,X1,X2)
| ~ arboreal(X1)
| ~ occurrence_of(esk15_3(X2,esk2_0,X1),tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,plain,
( arboreal(esk7_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ atomic(esk4_4(X1,X2,X3,X4))
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,plain,
( atomic(esk4_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_73,plain,
( min_precedes(X1,X2,X3)
| ~ occurrence_of(X2,X4)
| ~ send_message(X4,X5,X6,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( occurrence_of(X1,tptp2)
| occurrence_of(X1,tptp3)
| ~ min_precedes(esk2_0,X1,tptp0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_25]) ).
cnf(c_0_75,plain,
( arboreal(esk7_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,plain,
( min_precedes(X1,X2,X3)
| ~ tptp1(X4,X3,X1)
| ~ occurrence_of(X2,esk4_4(X4,X3,X1,X5))
| ~ occurrence_of(X5,X4) ),
inference(spm,[status(thm)],[c_0_73,c_0_68]) ).
fof(c_0_77,plain,
! [X175,X176,X177,X178,X179] :
( ( X175 != tptp4
| ~ send_message(X175,X176,X177,X178,X179) )
& ( X175 != tptp3
| ~ send_message(X175,X176,X177,X178,X179) )
& ( X175 != tptp2
| ~ send_message(X175,X176,X177,X178,X179) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_63])])])])]) ).
cnf(c_0_78,negated_conjecture,
( occurrence_of(esk7_4(X1,X2,X3,X4),tptp3)
| occurrence_of(esk7_4(X1,X2,X3,X4),tptp2)
| ~ tptp1(X1,X2,X3)
| ~ min_precedes(esk2_0,esk7_4(X1,X2,X3,X4),tptp0)
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_79,plain,
( min_precedes(X1,esk7_4(X2,X3,X1,X4),X3)
| ~ tptp1(X2,X3,X1)
| ~ occurrence_of(X4,X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_66]) ).
cnf(c_0_80,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp2 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_81,plain,
( X1 = esk4_4(X2,X3,X4,X5)
| ~ tptp1(X2,X3,X4)
| ~ occurrence_of(esk7_4(X2,X3,X4,X5),X1)
| ~ occurrence_of(X5,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_66]) ).
cnf(c_0_82,negated_conjecture,
( occurrence_of(esk7_4(X1,tptp0,esk2_0,X2),tptp2)
| occurrence_of(esk7_4(X1,tptp0,esk2_0,X2),tptp3)
| ~ tptp1(X1,tptp0,esk2_0)
| ~ occurrence_of(X2,X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_83,plain,
( esk4_4(X1,X2,X3,X4) != tptp2
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_68]) ).
cnf(c_0_84,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp3 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_85,negated_conjecture,
( occurrence_of(esk7_4(X1,tptp0,esk2_0,X2),tptp3)
| ~ tptp1(X1,tptp0,esk2_0)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_86,plain,
( esk4_4(X1,X2,X3,X4) != tptp3
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_68]) ).
cnf(c_0_87,negated_conjecture,
( ~ tptp1(X1,tptp0,esk2_0)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_85]),c_0_86]) ).
cnf(c_0_88,negated_conjecture,
occurrence_of(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_89,negated_conjecture,
~ occurrence_of(X1,esk1_0),
inference(spm,[status(thm)],[c_0_87,c_0_27]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_88,c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PRO002+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run_ET %s %d
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 13 02:37:54 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.31/9.49 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.31/9.49 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.31/9.49 # Preprocessing time : 0.020 s
% 0.31/9.49
% 0.31/9.49 # Proof found!
% 0.31/9.49 # SZS status Theorem
% 0.31/9.49 # SZS output start CNFRefutation
% See solution above
% 0.31/9.49 # Proof object total steps : 91
% 0.31/9.49 # Proof object clause steps : 58
% 0.31/9.49 # Proof object formula steps : 33
% 0.31/9.49 # Proof object conjectures : 20
% 0.31/9.49 # Proof object clause conjectures : 17
% 0.31/9.49 # Proof object formula conjectures : 3
% 0.31/9.49 # Proof object initial clauses used : 26
% 0.31/9.49 # Proof object initial formulas used : 16
% 0.31/9.49 # Proof object generating inferences : 31
% 0.31/9.49 # Proof object simplifying inferences : 5
% 0.31/9.49 # Training examples: 0 positive, 0 negative
% 0.31/9.49 # Parsed axioms : 69
% 0.31/9.49 # Removed by relevancy pruning/SinE : 19
% 0.31/9.49 # Initial clauses : 81
% 0.31/9.49 # Removed in clause preprocessing : 0
% 0.31/9.49 # Initial clauses in saturation : 81
% 0.31/9.49 # Processed clauses : 16393
% 0.31/9.49 # ...of these trivial : 0
% 0.31/9.49 # ...subsumed : 12185
% 0.31/9.49 # ...remaining for further processing : 4208
% 0.31/9.49 # Other redundant clauses eliminated : 0
% 0.31/9.49 # Clauses deleted for lack of memory : 114420
% 0.31/9.49 # Backward-subsumed : 598
% 0.31/9.49 # Backward-rewritten : 4
% 0.31/9.49 # Generated clauses : 214799
% 0.31/9.49 # ...of the previous two non-trivial : 212416
% 0.31/9.49 # Contextual simplify-reflections : 32279
% 0.31/9.49 # Paramodulations : 214797
% 0.31/9.49 # Factorizations : 1
% 0.31/9.49 # Equation resolutions : 0
% 0.31/9.49 # Current number of processed clauses : 3605
% 0.31/9.49 # Positive orientable unit clauses : 12
% 0.31/9.49 # Positive unorientable unit clauses: 0
% 0.31/9.49 # Negative unit clauses : 13
% 0.31/9.49 # Non-unit-clauses : 3580
% 0.31/9.49 # Current number of unprocessed clauses: 67408
% 0.31/9.49 # ...number of literals in the above : 596910
% 0.31/9.49 # Current number of archived formulas : 0
% 0.31/9.49 # Current number of archived clauses : 603
% 0.31/9.49 # Clause-clause subsumption calls (NU) : 7298842
% 0.31/9.49 # Rec. Clause-clause subsumption calls : 658247
% 0.31/9.49 # Non-unit clause-clause subsumptions : 41651
% 0.31/9.49 # Unit Clause-clause subsumption calls : 5748
% 0.31/9.49 # Rewrite failures with RHS unbound : 0
% 0.31/9.49 # BW rewrite match attempts : 2
% 0.31/9.49 # BW rewrite match successes : 2
% 0.31/9.49 # Condensation attempts : 0
% 0.31/9.49 # Condensation successes : 0
% 0.31/9.49 # Termbank termtop insertions : 6435835
% 0.31/9.49
% 0.31/9.49 # -------------------------------------------------
% 0.31/9.49 # User time : 8.782 s
% 0.31/9.49 # System time : 0.092 s
% 0.31/9.49 # Total time : 8.874 s
% 0.31/9.49 # Maximum resident set size: 134584 pages
% 0.31/23.44 eprover: CPU time limit exceeded, terminating
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.45 eprover: CPU time limit exceeded, terminating
% 0.31/23.45 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.45 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.46 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.46 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.47 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.47 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: CPU time limit exceeded, terminating
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.48 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.48 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.49 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.49 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.50 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.50 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.51 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.51 eprover: No such file or directory
% 0.31/23.51 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.31/23.52 eprover: No such file or directory
% 0.31/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52 eprover: No such file or directory
% 0.31/23.52 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.52 eprover: No such file or directory
% 0.31/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53 eprover: No such file or directory
% 0.31/23.53 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.53 eprover: No such file or directory
% 0.31/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.54 eprover: No such file or directory
% 0.31/23.54 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.54 eprover: No such file or directory
% 0.31/23.55 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.31/23.55 eprover: No such file or directory
%------------------------------------------------------------------------------