TSTP Solution File: PRO002+3 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : PRO002+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 21 02:21:57 EDT 2024
% Result : Theorem 0.83s 0.58s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 14
% Syntax : Number of formulae : 115 ( 37 unt; 0 def)
% Number of atoms : 334 ( 37 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 366 ( 147 ~; 132 |; 69 &)
% ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-5 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-4 aty)
% Number of variables : 232 ( 28 sgn 110 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_65,axiom,
! [X181,X182,X183] :
( tptp1(X181,X182,X183)
=> ( activity(X181)
& ~ atomic(X181)
& ~ atomic(X182)
& root(X183,X182) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_65) ).
fof(goals,conjecture,
~ ? [X194,X195,X196] :
( tptp1(X194,tptp0,X195)
& occurrence_of(X196,X194) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
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_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/benchmark/theBenchmark.p',sos_66) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( occurrence_of(X108,X109)
& root_occ(X106,X108)
& root_occ(X107,X108) )
=> X106 = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
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/benchmark/theBenchmark.p',sos_64) ).
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_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/benchmark/theBenchmark.p',sos_49) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_48,axiom,
! [X157,X158,X159,X160,X161] :
( ( occurrence_of(X158,X157)
& root_occ(X160,X158)
& leaf_occ(X161,X158)
& subactivity_occurrence(X159,X158)
& min_precedes(X160,X159,X157)
& X159 != X161 )
=> min_precedes(X159,X161,X157) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_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_63,axiom,
! [X170,X171,X172,X173,X174] :
( send_message(X170,X171,X172,X173,X174)
=> ( X170 != tptp4
& X170 != tptp3
& X170 != tptp2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_63) ).
fof(c_0_14,plain,
! [X181,X182,X183] :
( tptp1(X181,X182,X183)
=> ( activity(X181)
& ~ atomic(X181)
& ~ atomic(X182)
& root(X183,X182) ) ),
inference(fof_simplification,[status(thm)],[sos_65]) ).
fof(c_0_15,negated_conjecture,
~ ~ ? [X194,X195,X196] :
( tptp1(X194,tptp0,X195)
& occurrence_of(X196,X194) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,plain,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_17,plain,
! [X203,X204,X205] :
( ( activity(X203)
| ~ tptp1(X203,X204,X205) )
& ( ~ atomic(X203)
| ~ tptp1(X203,X204,X205) )
& ( ~ atomic(X204)
| ~ tptp1(X203,X204,X205) )
& ( root(X205,X204)
| ~ tptp1(X203,X204,X205) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_18,negated_conjecture,
( tptp1(esk1_0,tptp0,esk2_0)
& occurrence_of(esk3_0,esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_19,plain,
! [X229,X230] :
( ( root(esk12_2(X229,X230),X229)
| ~ occurrence_of(X230,X229)
| atomic(X229) )
& ( subactivity_occurrence(esk12_2(X229,X230),X230)
| ~ occurrence_of(X230,X229)
| atomic(X229) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_20,plain,
( ~ atomic(X1)
| ~ tptp1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
tptp1(esk1_0,tptp0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,plain,
! [X232,X233,X235,X236,X237] :
( ( occurrence_of(X233,esk13_2(X232,X233))
| ~ root_occ(X232,X233) )
& ( subactivity_occurrence(X232,X233)
| ~ root_occ(X232,X233) )
& ( root(X232,esk13_2(X232,X233))
| ~ root_occ(X232,X233) )
& ( ~ occurrence_of(X236,X237)
| ~ subactivity_occurrence(X235,X236)
| ~ root(X235,X237)
| root_occ(X235,X236) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_23,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
occurrence_of(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
~ atomic(esk1_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
subactivity_occurrence(esk12_2(esk1_0,esk3_0),esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_28,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_29,plain,
! [X206,X207,X208,X209] :
( ( send_message(esk4_4(X206,X207,X208,X209),esk5_4(X206,X207,X208,X209),esk6_4(X206,X207,X208,X209),X208,X207)
| ~ tptp1(X206,X207,X208)
| ~ occurrence_of(X209,X206) )
& ( occurrence_of(esk7_4(X206,X207,X208,X209),esk4_4(X206,X207,X208,X209))
| ~ tptp1(X206,X207,X208)
| ~ occurrence_of(X209,X206) )
& ( root_occ(esk7_4(X206,X207,X208,X209),X209)
| ~ tptp1(X206,X207,X208)
| ~ occurrence_of(X209,X206) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_66])])])])]) ).
fof(c_0_30,plain,
! [X247,X248,X249,X250] :
( ~ occurrence_of(X249,X250)
| ~ root_occ(X247,X249)
| ~ root_occ(X248,X249)
| X247 = X248 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_31,negated_conjecture,
( root_occ(esk12_2(esk1_0,esk3_0),esk3_0)
| ~ root(esk12_2(esk1_0,esk3_0),X1)
| ~ occurrence_of(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
root(esk12_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_24]),c_0_25]) ).
cnf(c_0_33,plain,
( root_occ(esk7_4(X1,X2,X3,X4),X4)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
root_occ(esk12_2(esk1_0,esk3_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_24]),c_0_32])]) ).
cnf(c_0_36,negated_conjecture,
( root_occ(esk7_4(esk1_0,tptp0,esk2_0,X1),X1)
| ~ occurrence_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
cnf(c_0_37,plain,
( send_message(esk4_4(X1,X2,X3,X4),esk5_4(X1,X2,X3,X4),esk6_4(X1,X2,X3,X4),X3,X2)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( X1 = esk12_2(esk1_0,esk3_0)
| ~ root_occ(X1,esk3_0)
| ~ occurrence_of(esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
root_occ(esk7_4(esk1_0,tptp0,esk2_0,esk3_0),esk3_0),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
fof(c_0_40,plain,
! [X278,X279,X280,X281,X282,X283] :
( ~ send_message(X278,X279,X280,X281,X282)
| ~ occurrence_of(X283,X278)
| min_precedes(X281,X283,X282) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_64])])]) ).
cnf(c_0_41,negated_conjecture,
( send_message(esk4_4(esk1_0,tptp0,esk2_0,X1),esk5_4(esk1_0,tptp0,esk2_0,X1),esk6_4(esk1_0,tptp0,esk2_0,X1),esk2_0,tptp0)
| ~ occurrence_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_21]) ).
cnf(c_0_42,plain,
( occurrence_of(esk7_4(X1,X2,X3,X4),esk4_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_43,negated_conjecture,
( esk7_4(esk1_0,tptp0,esk2_0,esk3_0) = esk12_2(esk1_0,esk3_0)
| ~ occurrence_of(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( min_precedes(X4,X6,X5)
| ~ send_message(X1,X2,X3,X4,X5)
| ~ occurrence_of(X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
send_message(esk4_4(esk1_0,tptp0,esk2_0,esk3_0),esk5_4(esk1_0,tptp0,esk2_0,esk3_0),esk6_4(esk1_0,tptp0,esk2_0,esk3_0),esk2_0,tptp0),
inference(spm,[status(thm)],[c_0_41,c_0_24]) ).
cnf(c_0_46,negated_conjecture,
( occurrence_of(esk7_4(esk1_0,tptp0,esk2_0,X1),esk4_4(esk1_0,tptp0,esk2_0,X1))
| ~ occurrence_of(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_21]) ).
cnf(c_0_47,negated_conjecture,
esk7_4(esk1_0,tptp0,esk2_0,esk3_0) = esk12_2(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_43,c_0_24]) ).
fof(c_0_48,plain,
! [X316,X317,X318] :
( ( occurrence_of(esk15_3(X316,X317,X318),X316)
| ~ min_precedes(X317,X318,X316) )
& ( subactivity_occurrence(X317,esk15_3(X316,X317,X318))
| ~ min_precedes(X317,X318,X316) )
& ( subactivity_occurrence(X318,esk15_3(X316,X317,X318))
| ~ min_precedes(X317,X318,X316) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).
cnf(c_0_49,negated_conjecture,
( min_precedes(esk2_0,X1,tptp0)
| ~ occurrence_of(X1,esk4_4(esk1_0,tptp0,esk2_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
occurrence_of(esk12_2(esk1_0,esk3_0),esk4_4(esk1_0,tptp0,esk2_0,esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_47]) ).
cnf(c_0_51,plain,
( subactivity_occurrence(X1,esk15_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,negated_conjecture,
min_precedes(esk2_0,esk12_2(esk1_0,esk3_0),tptp0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
subactivity_occurrence(esk2_0,esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,plain,
( root(X1,X2)
| ~ tptp1(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,plain,
( occurrence_of(esk15_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
( root_occ(esk2_0,esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0)))
| ~ root(esk2_0,X1)
| ~ occurrence_of(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_53]) ).
cnf(c_0_57,negated_conjecture,
root(esk2_0,tptp0),
inference(spm,[status(thm)],[c_0_54,c_0_21]) ).
cnf(c_0_58,negated_conjecture,
occurrence_of(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0)),tptp0),
inference(spm,[status(thm)],[c_0_55,c_0_52]) ).
fof(c_0_59,plain,
! [X216] :
( ( occurrence_of(esk8_1(X216),tptp4)
| ~ occurrence_of(X216,tptp0) )
& ( root_occ(esk8_1(X216),X216)
| ~ occurrence_of(X216,tptp0) )
& ( occurrence_of(esk9_1(X216),tptp3)
| occurrence_of(esk9_1(X216),tptp2)
| ~ occurrence_of(X216,tptp0) )
& ( leaf_occ(esk9_1(X216),X216)
| ~ occurrence_of(X216,tptp0) )
& ( next_subocc(esk8_1(X216),esk9_1(X216),tptp0)
| ~ occurrence_of(X216,tptp0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])]) ).
fof(c_0_60,plain,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
cnf(c_0_61,negated_conjecture,
root_occ(esk2_0,esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_62,plain,
( root_occ(esk8_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_63,plain,
! [X226,X227] :
( ( occurrence_of(esk11_2(X226,X227),X226)
| ~ root(X227,X226)
| atomic(X226) )
& ( subactivity_occurrence(X227,esk11_2(X226,X227))
| ~ root(X227,X226)
| atomic(X226) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])])]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk2_0
| ~ root_occ(X1,esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0)))
| ~ occurrence_of(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
root_occ(esk8_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),
inference(spm,[status(thm)],[c_0_62,c_0_58]) ).
cnf(c_0_66,plain,
( subactivity_occurrence(X1,esk11_2(X2,X1))
| atomic(X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_67,plain,
! [X157,X158,X159,X160,X161] :
( ( occurrence_of(X158,X157)
& root_occ(X160,X158)
& leaf_occ(X161,X158)
& subactivity_occurrence(X159,X158)
& min_precedes(X160,X159,X157)
& X159 != X161 )
=> min_precedes(X159,X161,X157) ),
inference(fof_simplification,[status(thm)],[sos_48]) ).
cnf(c_0_68,negated_conjecture,
( esk8_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))) = esk2_0
| ~ occurrence_of(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
subactivity_occurrence(esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_32]),c_0_25]) ).
cnf(c_0_70,plain,
( occurrence_of(esk11_2(X1,X2),X1)
| atomic(X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_71,plain,
! [X268,X269,X270,X271,X272] :
( ~ occurrence_of(X269,X268)
| ~ root_occ(X271,X269)
| ~ leaf_occ(X272,X269)
| ~ subactivity_occurrence(X270,X269)
| ~ min_precedes(X271,X270,X268)
| X270 = X272
| min_precedes(X270,X272,X268) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])]) ).
fof(c_0_72,plain,
! [X284,X285,X286,X287,X288,X289,X290] :
( ( min_precedes(X284,X285,X286)
| ~ next_subocc(X284,X285,X286) )
& ( ~ min_precedes(X284,X287,X286)
| ~ min_precedes(X287,X285,X286)
| ~ next_subocc(X284,X285,X286) )
& ( min_precedes(X288,esk14_3(X288,X289,X290),X290)
| ~ min_precedes(X288,X289,X290)
| next_subocc(X288,X289,X290) )
& ( min_precedes(esk14_3(X288,X289,X290),X289,X290)
| ~ min_precedes(X288,X289,X290)
| next_subocc(X288,X289,X290) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).
cnf(c_0_73,plain,
( next_subocc(esk8_1(X1),esk9_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_74,negated_conjecture,
esk8_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))) = esk2_0,
inference(spm,[status(thm)],[c_0_68,c_0_58]) ).
cnf(c_0_75,negated_conjecture,
( root_occ(esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)))
| ~ root(esk12_2(esk1_0,esk3_0),X1)
| ~ occurrence_of(esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
occurrence_of(esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_32]),c_0_25]) ).
cnf(c_0_77,plain,
( X5 = X4
| min_precedes(X5,X4,X2)
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X5,X1)
| ~ min_precedes(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
( subactivity_occurrence(X1,esk15_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_79,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,negated_conjecture,
next_subocc(esk2_0,esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_58]),c_0_74]) ).
cnf(c_0_81,negated_conjecture,
root_occ(esk12_2(esk1_0,esk3_0),esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_32]),c_0_76])]) ).
cnf(c_0_82,negated_conjecture,
( X1 = esk12_2(esk1_0,esk3_0)
| min_precedes(esk12_2(esk1_0,esk3_0),X1,tptp0)
| ~ leaf_occ(X1,X2)
| ~ root_occ(esk2_0,X2)
| ~ subactivity_occurrence(esk12_2(esk1_0,esk3_0),X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_77,c_0_52]) ).
cnf(c_0_83,negated_conjecture,
subactivity_occurrence(esk12_2(esk1_0,esk3_0),esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),
inference(spm,[status(thm)],[c_0_78,c_0_52]) ).
cnf(c_0_84,plain,
( leaf_occ(esk9_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_85,negated_conjecture,
( ~ min_precedes(X1,esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),tptp0)
| ~ min_precedes(esk2_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,negated_conjecture,
( X1 = esk12_2(esk1_0,esk3_0)
| ~ root_occ(X1,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)))
| ~ occurrence_of(esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
root_occ(esk7_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),
inference(spm,[status(thm)],[c_0_36,c_0_76]) ).
fof(c_0_88,plain,
! [X200,X201,X202] :
( ~ occurrence_of(X200,X201)
| ~ occurrence_of(X200,X202)
| X201 = X202 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_89,plain,
( occurrence_of(esk9_1(X1),tptp3)
| occurrence_of(esk9_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_90,negated_conjecture,
( X1 = esk12_2(esk1_0,esk3_0)
| min_precedes(esk12_2(esk1_0,esk3_0),X1,tptp0)
| ~ leaf_occ(X1,esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_61]),c_0_83]),c_0_58])]) ).
cnf(c_0_91,negated_conjecture,
leaf_occ(esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),
inference(spm,[status(thm)],[c_0_84,c_0_58]) ).
cnf(c_0_92,negated_conjecture,
~ min_precedes(esk12_2(esk1_0,esk3_0),esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),tptp0),
inference(spm,[status(thm)],[c_0_85,c_0_52]) ).
fof(c_0_93,plain,
! [X170,X171,X172,X173,X174] :
( send_message(X170,X171,X172,X173,X174)
=> ( X170 != tptp4
& X170 != tptp3
& X170 != tptp2 ) ),
inference(fof_simplification,[status(thm)],[sos_63]) ).
cnf(c_0_94,negated_conjecture,
( esk7_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))) = esk12_2(esk1_0,esk3_0)
| ~ occurrence_of(esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)),X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_95,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,negated_conjecture,
( occurrence_of(esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),tptp2)
| occurrence_of(esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))),tptp3) ),
inference(spm,[status(thm)],[c_0_89,c_0_58]) ).
cnf(c_0_97,negated_conjecture,
esk9_1(esk15_3(tptp0,esk2_0,esk12_2(esk1_0,esk3_0))) = esk12_2(esk1_0,esk3_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
fof(c_0_98,plain,
! [X273,X274,X275,X276,X277] :
( ( X273 != tptp4
| ~ send_message(X273,X274,X275,X276,X277) )
& ( X273 != tptp3
| ~ send_message(X273,X274,X275,X276,X277) )
& ( X273 != tptp2
| ~ send_message(X273,X274,X275,X276,X277) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])])]) ).
cnf(c_0_99,negated_conjecture,
occurrence_of(esk7_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk4_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)))),
inference(spm,[status(thm)],[c_0_46,c_0_76]) ).
cnf(c_0_100,negated_conjecture,
esk7_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))) = esk12_2(esk1_0,esk3_0),
inference(spm,[status(thm)],[c_0_94,c_0_76]) ).
cnf(c_0_101,negated_conjecture,
( X1 = esk4_4(esk1_0,tptp0,esk2_0,esk3_0)
| ~ occurrence_of(esk12_2(esk1_0,esk3_0),X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_50]) ).
cnf(c_0_102,negated_conjecture,
( occurrence_of(esk12_2(esk1_0,esk3_0),tptp3)
| occurrence_of(esk12_2(esk1_0,esk3_0),tptp2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97]),c_0_97]) ).
cnf(c_0_103,plain,
( X1 != tptp2
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_104,negated_conjecture,
occurrence_of(esk12_2(esk1_0,esk3_0),esk4_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0)))),
inference(rw,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( esk4_4(esk1_0,tptp0,esk2_0,esk3_0) = tptp2
| occurrence_of(esk12_2(esk1_0,esk3_0),tptp3) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_106,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_107,negated_conjecture,
send_message(esk4_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk5_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk6_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk2_0,tptp0),
inference(spm,[status(thm)],[c_0_41,c_0_76]) ).
cnf(c_0_108,negated_conjecture,
esk4_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))) = esk4_4(esk1_0,tptp0,esk2_0,esk3_0),
inference(spm,[status(thm)],[c_0_101,c_0_104]) ).
cnf(c_0_109,negated_conjecture,
occurrence_of(esk12_2(esk1_0,esk3_0),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_105]),c_0_106]) ).
cnf(c_0_110,plain,
( X1 != tptp3
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_111,negated_conjecture,
send_message(esk4_4(esk1_0,tptp0,esk2_0,esk3_0),esk5_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk6_4(esk1_0,tptp0,esk2_0,esk11_2(esk1_0,esk12_2(esk1_0,esk3_0))),esk2_0,tptp0),
inference(rw,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
esk4_4(esk1_0,tptp0,esk2_0,esk3_0) = tptp3,
inference(spm,[status(thm)],[c_0_101,c_0_109]) ).
cnf(c_0_113,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_110]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112]),c_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PRO002+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun May 19 04:01:23 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/0.58 # Version: 3.1.0
% 0.83/0.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.83/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.83/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.83/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.83/0.58 # Starting sh5l with 300s (1) cores
% 0.83/0.58 # new_bool_1 with pid 4594 completed with status 0
% 0.83/0.58 # Result found by new_bool_1
% 0.83/0.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.83/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.83/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.83/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.83/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.83/0.58 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.83/0.58 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.83/0.58 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 4597 completed with status 0
% 0.83/0.58 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.83/0.58 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.83/0.58 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.83/0.58 # Starting new_bool_3 with 300s (1) cores
% 0.83/0.58 # Starting new_bool_1 with 300s (1) cores
% 0.83/0.58 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.83/0.58 # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.83/0.58 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.83/0.58 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.83/0.58 # Preprocessing time : 0.002 s
% 0.83/0.58 # Presaturation interreduction done
% 0.83/0.58
% 0.83/0.58 # Proof found!
% 0.83/0.58 # SZS status Theorem
% 0.83/0.58 # SZS output start CNFRefutation
% See solution above
% 0.83/0.58 # Parsed axioms : 69
% 0.83/0.58 # Removed by relevancy pruning/SinE : 16
% 0.83/0.58 # Initial clauses : 89
% 0.83/0.58 # Removed in clause preprocessing : 0
% 0.83/0.58 # Initial clauses in saturation : 89
% 0.83/0.58 # Processed clauses : 1312
% 0.83/0.58 # ...of these trivial : 20
% 0.83/0.58 # ...subsumed : 324
% 0.83/0.58 # ...remaining for further processing : 968
% 0.83/0.58 # Other redundant clauses eliminated : 3
% 0.83/0.58 # Clauses deleted for lack of memory : 0
% 0.83/0.58 # Backward-subsumed : 16
% 0.83/0.58 # Backward-rewritten : 205
% 0.83/0.58 # Generated clauses : 2450
% 0.83/0.58 # ...of the previous two non-redundant : 2249
% 0.83/0.58 # ...aggressively subsumed : 0
% 0.83/0.58 # Contextual simplify-reflections : 0
% 0.83/0.58 # Paramodulations : 2447
% 0.83/0.58 # Factorizations : 0
% 0.83/0.58 # NegExts : 0
% 0.83/0.58 # Equation resolutions : 3
% 0.83/0.58 # Disequality decompositions : 0
% 0.83/0.58 # Total rewrite steps : 984
% 0.83/0.58 # ...of those cached : 867
% 0.83/0.58 # Propositional unsat checks : 0
% 0.83/0.58 # Propositional check models : 0
% 0.83/0.58 # Propositional check unsatisfiable : 0
% 0.83/0.58 # Propositional clauses : 0
% 0.83/0.58 # Propositional clauses after purity: 0
% 0.83/0.58 # Propositional unsat core size : 0
% 0.83/0.58 # Propositional preprocessing time : 0.000
% 0.83/0.58 # Propositional encoding time : 0.000
% 0.83/0.58 # Propositional solver time : 0.000
% 0.83/0.58 # Success case prop preproc time : 0.000
% 0.83/0.58 # Success case prop encoding time : 0.000
% 0.83/0.58 # Success case prop solver time : 0.000
% 0.83/0.58 # Current number of processed clauses : 655
% 0.83/0.58 # Positive orientable unit clauses : 221
% 0.83/0.58 # Positive unorientable unit clauses: 0
% 0.83/0.58 # Negative unit clauses : 160
% 0.83/0.58 # Non-unit-clauses : 274
% 0.83/0.58 # Current number of unprocessed clauses: 1028
% 0.83/0.58 # ...number of literals in the above : 2343
% 0.83/0.58 # Current number of archived formulas : 0
% 0.83/0.58 # Current number of archived clauses : 310
% 0.83/0.58 # Clause-clause subsumption calls (NU) : 16774
% 0.83/0.58 # Rec. Clause-clause subsumption calls : 9798
% 0.83/0.58 # Non-unit clause-clause subsumptions : 112
% 0.83/0.58 # Unit Clause-clause subsumption calls : 2181
% 0.83/0.58 # Rewrite failures with RHS unbound : 0
% 0.83/0.58 # BW rewrite match attempts : 324
% 0.83/0.58 # BW rewrite match successes : 37
% 0.83/0.58 # Condensation attempts : 0
% 0.83/0.58 # Condensation successes : 0
% 0.83/0.58 # Termbank termtop insertions : 77499
% 0.83/0.58 # Search garbage collected termcells : 1685
% 0.83/0.58
% 0.83/0.58 # -------------------------------------------------
% 0.83/0.58 # User time : 0.095 s
% 0.83/0.58 # System time : 0.009 s
% 0.83/0.58 # Total time : 0.104 s
% 0.83/0.58 # Maximum resident set size: 2144 pages
% 0.83/0.58
% 0.83/0.58 # -------------------------------------------------
% 0.83/0.58 # User time : 0.099 s
% 0.83/0.58 # System time : 0.010 s
% 0.83/0.58 # Total time : 0.109 s
% 0.83/0.58 # Maximum resident set size: 1900 pages
% 0.83/0.58 % E---3.1 exiting
% 0.83/0.58 % E exiting
%------------------------------------------------------------------------------