TSTP Solution File: PRO012+3 by E---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : PRO012+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n017.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 : Mon Jun 24 13:39:59 EDT 2024
% Result : Theorem 1.37s 0.66s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 15
% Syntax : Number of formulae : 91 ( 29 unt; 0 def)
% Number of atoms : 292 ( 16 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 329 ( 128 ~; 128 |; 55 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 163 ( 5 sgn 84 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X167] :
( occurrence_of(X167,tptp0)
=> ? [X168,X169] :
( occurrence_of(X168,tptp3)
& root_occ(X168,X167)
& ( occurrence_of(X169,tptp2)
| occurrence_of(X169,tptp1) )
& min_precedes(X168,X169,tptp0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',goals) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164,X165] :
( occurrence_of(X163,tptp3)
& root_occ(X163,X162)
& occurrence_of(X164,tptp4)
& min_precedes(X163,X164,tptp0)
& ( occurrence_of(X165,tptp2)
| occurrence_of(X165,tptp1) )
& min_precedes(X164,X165,tptp0)
& ! [X166] :
( min_precedes(X163,X166,tptp0)
=> ( X166 = X164
| X166 = X165 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_49) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_27) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_51) ).
fof(sos_11,axiom,
! [X24,X25,X26] :
( min_precedes(X25,X26,X24)
=> ? [X27,X28] :
( subactivity(X27,X24)
& subactivity(X28,X24)
& atocc(X25,X27)
& atocc(X26,X28) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_11) ).
fof(sos_23,axiom,
! [X65,X66] :
( atocc(X65,X66)
<=> ? [X67] :
( subactivity(X66,X67)
& atomic(X67)
& occurrence_of(X65,X67) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_23) ).
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/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_33) ).
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/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_25) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_07) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( min_precedes(X84,X85,X86)
& occurrence_of(X87,X86)
& subactivity_occurrence(X85,X87) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_29) ).
fof(sos_28,axiom,
! [X80,X81,X82,X83] :
( ( occurrence_of(X81,X80)
& arboreal(X82)
& arboreal(X83)
& subactivity_occurrence(X82,X81)
& subactivity_occurrence(X83,X81) )
=> ( min_precedes(X82,X83,X80)
| min_precedes(X83,X82,X80)
| X82 = X83 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_28) ).
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/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_35) ).
fof(sos_38,axiom,
! [X118,X119,X120] :
( ( occurrence_of(X118,X120)
& root_occ(X119,X118) )
=> ~ ? [X121] : min_precedes(X121,X119,X120) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_38) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_55) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p',sos_14) ).
fof(c_0_15,negated_conjecture,
~ ! [X167] :
( occurrence_of(X167,tptp0)
=> ? [X168,X169] :
( occurrence_of(X168,tptp3)
& root_occ(X168,X167)
& ( occurrence_of(X169,tptp2)
| occurrence_of(X169,tptp1) )
& min_precedes(X168,X169,tptp0) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_16,plain,
! [X181,X185] :
( ( occurrence_of(esk3_1(X181),tptp3)
| ~ occurrence_of(X181,tptp0) )
& ( root_occ(esk3_1(X181),X181)
| ~ occurrence_of(X181,tptp0) )
& ( occurrence_of(esk4_1(X181),tptp4)
| ~ occurrence_of(X181,tptp0) )
& ( min_precedes(esk3_1(X181),esk4_1(X181),tptp0)
| ~ occurrence_of(X181,tptp0) )
& ( occurrence_of(esk5_1(X181),tptp2)
| occurrence_of(esk5_1(X181),tptp1)
| ~ occurrence_of(X181,tptp0) )
& ( min_precedes(esk4_1(X181),esk5_1(X181),tptp0)
| ~ occurrence_of(X181,tptp0) )
& ( ~ min_precedes(esk3_1(X181),X185,tptp0)
| X185 = esk4_1(X181)
| X185 = esk5_1(X181)
| ~ occurrence_of(X181,tptp0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])])]) ).
fof(c_0_17,negated_conjecture,
! [X171,X172] :
( occurrence_of(esk1_0,tptp0)
& ( ~ occurrence_of(X172,tptp2)
| ~ occurrence_of(X171,tptp3)
| ~ root_occ(X171,esk1_0)
| ~ min_precedes(X171,X172,tptp0) )
& ( ~ occurrence_of(X172,tptp1)
| ~ occurrence_of(X171,tptp3)
| ~ root_occ(X171,esk1_0)
| ~ min_precedes(X171,X172,tptp0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])]) ).
fof(c_0_18,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_19,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_20,plain,
! [X269,X270,X271] :
( ( subactivity(esk11_3(X269,X270,X271),X269)
| ~ min_precedes(X270,X271,X269) )
& ( subactivity(esk12_3(X269,X270,X271),X269)
| ~ min_precedes(X270,X271,X269) )
& ( atocc(X270,esk11_3(X269,X270,X271))
| ~ min_precedes(X270,X271,X269) )
& ( atocc(X271,esk12_3(X269,X270,X271))
| ~ min_precedes(X270,X271,X269) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])])]) ).
cnf(c_0_21,plain,
( min_precedes(esk4_1(X1),esk5_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,negated_conjecture,
occurrence_of(esk1_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_23,plain,
! [X235,X236] :
( ( root(esk9_2(X235,X236),X235)
| ~ occurrence_of(X236,X235)
| atomic(X235) )
& ( subactivity_occurrence(esk9_2(X235,X236),X236)
| ~ occurrence_of(X236,X235)
| atomic(X235) ) ),
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_18])])])])]) ).
fof(c_0_24,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
fof(c_0_25,plain,
! [X277,X278,X280,X281,X282] :
( ( subactivity(X278,esk14_2(X277,X278))
| ~ atocc(X277,X278) )
& ( atomic(esk14_2(X277,X278))
| ~ atocc(X277,X278) )
& ( occurrence_of(X277,esk14_2(X277,X278))
| ~ atocc(X277,X278) )
& ( ~ subactivity(X281,X282)
| ~ atomic(X282)
| ~ occurrence_of(X280,X282)
| atocc(X280,X281) ) ),
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_23])])])])])])]) ).
cnf(c_0_26,plain,
( atocc(X1,esk12_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
min_precedes(esk4_1(esk1_0),esk5_1(esk1_0),tptp0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_28,plain,
! [X189,X190,X192,X193,X194] :
( ( occurrence_of(X190,esk6_2(X189,X190))
| ~ root_occ(X189,X190) )
& ( subactivity_occurrence(X189,X190)
| ~ root_occ(X189,X190) )
& ( root(X189,esk6_2(X189,X190))
| ~ root_occ(X189,X190) )
& ( ~ occurrence_of(X193,X194)
| ~ subactivity_occurrence(X192,X193)
| ~ root(X192,X194)
| root_occ(X192,X193) ) ),
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_29,plain,
( subactivity_occurrence(esk9_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X173,X174,X175] :
( ( occurrence_of(esk2_3(X173,X174,X175),X173)
| ~ min_precedes(X174,X175,X173) )
& ( subactivity_occurrence(X174,esk2_3(X173,X174,X175))
| ~ min_precedes(X174,X175,X173) )
& ( subactivity_occurrence(X175,esk2_3(X173,X174,X175))
| ~ min_precedes(X174,X175,X173) ) ),
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])])])])]) ).
fof(c_0_32,plain,
! [X257,X258] :
( ( ~ arboreal(X257)
| atomic(X258)
| ~ occurrence_of(X257,X258) )
& ( ~ atomic(X258)
| arboreal(X257)
| ~ occurrence_of(X257,X258) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_33,plain,
( occurrence_of(X1,esk14_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
atocc(esk5_1(esk1_0),esk12_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,plain,
( atomic(esk14_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_36,plain,
! [X177,X178,X179,X180] :
( ~ min_precedes(X177,X178,X179)
| ~ occurrence_of(X180,X179)
| ~ subactivity_occurrence(X178,X180)
| subactivity_occurrence(X177,X180) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_37,plain,
( min_precedes(esk3_1(X1),esk4_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
subactivity_occurrence(esk9_2(tptp0,esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_22]),c_0_30]) ).
cnf(c_0_40,plain,
( root(esk9_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_41,plain,
! [X260,X261,X262,X263] :
( ~ occurrence_of(X261,X260)
| ~ arboreal(X262)
| ~ arboreal(X263)
| ~ subactivity_occurrence(X262,X261)
| ~ subactivity_occurrence(X263,X261)
| min_precedes(X262,X263,X260)
| min_precedes(X263,X262,X260)
| X262 = X263 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])])]) ).
cnf(c_0_42,plain,
( subactivity_occurrence(X1,esk2_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,negated_conjecture,
occurrence_of(esk5_1(esk1_0),esk14_2(esk5_1(esk1_0),esk12_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
atomic(esk14_2(esk5_1(esk1_0),esk12_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_46,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_36]) ).
cnf(c_0_47,negated_conjecture,
min_precedes(esk3_1(esk1_0),esk4_1(esk1_0),tptp0),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_48,plain,
( occurrence_of(esk2_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_49,plain,
( subactivity_occurrence(X1,esk2_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_50,plain,
( occurrence_of(esk3_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_51,plain,
( root_occ(esk3_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_52,plain,
! [X195,X196,X197,X198] :
( ~ occurrence_of(X197,X198)
| ~ root_occ(X195,X197)
| ~ root_occ(X196,X197)
| X195 = X196 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_53,negated_conjecture,
( root_occ(esk9_2(tptp0,esk1_0),esk1_0)
| ~ root(esk9_2(tptp0,esk1_0),X1)
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_54,negated_conjecture,
root(esk9_2(tptp0,esk1_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_22]),c_0_30]) ).
fof(c_0_55,plain,
! [X199,X200,X201,X202] :
( ~ occurrence_of(X199,X201)
| ~ root_occ(X200,X199)
| ~ min_precedes(X202,X200,X201) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_38])])])]) ).
cnf(c_0_56,plain,
( min_precedes(X3,X4,X2)
| min_precedes(X4,X3,X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ arboreal(X3)
| ~ arboreal(X4)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_57,negated_conjecture,
subactivity_occurrence(esk5_1(esk1_0),esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0))),
inference(spm,[status(thm)],[c_0_42,c_0_27]) ).
cnf(c_0_58,negated_conjecture,
arboreal(esk5_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_59,negated_conjecture,
( subactivity_occurrence(esk3_1(esk1_0),X1)
| ~ subactivity_occurrence(esk4_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_60,negated_conjecture,
occurrence_of(esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0)),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_61,negated_conjecture,
subactivity_occurrence(esk4_1(esk1_0),esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0))),
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
cnf(c_0_62,negated_conjecture,
occurrence_of(esk3_1(esk1_0),tptp3),
inference(spm,[status(thm)],[c_0_50,c_0_22]) ).
cnf(c_0_63,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_64,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk1_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_65,negated_conjecture,
root_occ(esk3_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_51,c_0_22]) ).
cnf(c_0_66,plain,
( occurrence_of(esk5_1(X1),tptp2)
| occurrence_of(esk5_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk1_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_68,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_69,negated_conjecture,
root_occ(esk9_2(tptp0,esk1_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_22]),c_0_54])]) ).
cnf(c_0_70,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_71,negated_conjecture,
( X1 = esk5_1(esk1_0)
| min_precedes(X1,esk5_1(esk1_0),X2)
| min_precedes(esk5_1(esk1_0),X1,X2)
| ~ subactivity_occurrence(X1,esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0)))
| ~ arboreal(X1)
| ~ occurrence_of(esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0)),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_72,negated_conjecture,
subactivity_occurrence(esk3_1(esk1_0),esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_73,negated_conjecture,
arboreal(esk3_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_62]),c_0_63])]) ).
cnf(c_0_74,negated_conjecture,
( ~ min_precedes(esk3_1(esk1_0),X1,tptp0)
| ~ occurrence_of(X1,tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_62])]) ).
cnf(c_0_75,negated_conjecture,
( occurrence_of(esk5_1(esk1_0),tptp1)
| occurrence_of(esk5_1(esk1_0),tptp2) ),
inference(spm,[status(thm)],[c_0_66,c_0_22]) ).
cnf(c_0_76,negated_conjecture,
( ~ min_precedes(esk3_1(esk1_0),X1,tptp0)
| ~ occurrence_of(X1,tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_65]),c_0_62])]) ).
cnf(c_0_77,negated_conjecture,
( X1 = esk9_2(tptp0,esk1_0)
| ~ root_occ(X1,esk1_0)
| ~ occurrence_of(esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_78,plain,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
inference(fof_simplification,[status(thm)],[sos_14]) ).
cnf(c_0_79,negated_conjecture,
( ~ root_occ(esk5_1(esk1_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_70,c_0_27]) ).
cnf(c_0_80,negated_conjecture,
( esk5_1(esk1_0) = esk3_1(esk1_0)
| min_precedes(esk5_1(esk1_0),esk3_1(esk1_0),X1)
| min_precedes(esk3_1(esk1_0),esk5_1(esk1_0),X1)
| ~ occurrence_of(esk2_3(tptp0,esk4_1(esk1_0),esk5_1(esk1_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_81,negated_conjecture,
~ min_precedes(esk3_1(esk1_0),esk5_1(esk1_0),tptp0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( esk9_2(tptp0,esk1_0) = esk3_1(esk1_0)
| ~ occurrence_of(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_65]) ).
fof(c_0_83,plain,
! [X242,X243,X244] :
( ~ min_precedes(X242,X243,X244)
| ~ root(X243,X244) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])]) ).
cnf(c_0_84,negated_conjecture,
~ root_occ(esk5_1(esk1_0),esk1_0),
inference(spm,[status(thm)],[c_0_79,c_0_22]) ).
cnf(c_0_85,negated_conjecture,
( esk5_1(esk1_0) = esk3_1(esk1_0)
| min_precedes(esk5_1(esk1_0),esk3_1(esk1_0),tptp0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_60]),c_0_81]) ).
cnf(c_0_86,negated_conjecture,
esk9_2(tptp0,esk1_0) = esk3_1(esk1_0),
inference(spm,[status(thm)],[c_0_82,c_0_22]) ).
cnf(c_0_87,plain,
( ~ min_precedes(X1,X2,X3)
| ~ root(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
min_precedes(esk5_1(esk1_0),esk3_1(esk1_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_65])]) ).
cnf(c_0_89,negated_conjecture,
root(esk3_1(esk1_0),tptp0),
inference(rw,[status(thm)],[c_0_54,c_0_86]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PRO012+3 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 20 06:25:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.ARt1HYJiN7/E---3.1_29474.p
% 1.37/0.66 # Version: 3.2.0
% 1.37/0.66 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.37/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.37/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.37/0.66 # Starting new_bool_3 with 300s (1) cores
% 1.37/0.66 # Starting new_bool_1 with 300s (1) cores
% 1.37/0.66 # Starting sh5l with 300s (1) cores
% 1.37/0.66 # new_bool_3 with pid 29565 completed with status 0
% 1.37/0.66 # Result found by new_bool_3
% 1.37/0.66 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.37/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.37/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.37/0.66 # Starting new_bool_3 with 300s (1) cores
% 1.37/0.66 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.37/0.66 # Search class: FGHSF-FFMM32-SFFFFFNN
% 1.37/0.66 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.37/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 1.37/0.66 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 29571 completed with status 0
% 1.37/0.66 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 1.37/0.66 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.37/0.66 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.37/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.37/0.66 # Starting new_bool_3 with 300s (1) cores
% 1.37/0.66 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.37/0.66 # Search class: FGHSF-FFMM32-SFFFFFNN
% 1.37/0.66 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.37/0.66 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 1.37/0.66 # Preprocessing time : 0.001 s
% 1.37/0.66 # Presaturation interreduction done
% 1.37/0.66
% 1.37/0.66 # Proof found!
% 1.37/0.66 # SZS status Theorem
% 1.37/0.66 # SZS output start CNFRefutation
% See solution above
% 1.37/0.66 # Parsed axioms : 63
% 1.37/0.66 # Removed by relevancy pruning/SinE : 13
% 1.37/0.66 # Initial clauses : 80
% 1.37/0.66 # Removed in clause preprocessing : 0
% 1.37/0.66 # Initial clauses in saturation : 80
% 1.37/0.66 # Processed clauses : 2504
% 1.37/0.66 # ...of these trivial : 59
% 1.37/0.66 # ...subsumed : 566
% 1.37/0.66 # ...remaining for further processing : 1879
% 1.37/0.66 # Other redundant clauses eliminated : 0
% 1.37/0.66 # Clauses deleted for lack of memory : 0
% 1.37/0.66 # Backward-subsumed : 13
% 1.37/0.66 # Backward-rewritten : 297
% 1.37/0.66 # Generated clauses : 5876
% 1.37/0.66 # ...of the previous two non-redundant : 5447
% 1.37/0.66 # ...aggressively subsumed : 0
% 1.37/0.66 # Contextual simplify-reflections : 13
% 1.37/0.66 # Paramodulations : 5873
% 1.37/0.66 # Factorizations : 3
% 1.37/0.66 # NegExts : 0
% 1.37/0.66 # Equation resolutions : 0
% 1.37/0.66 # Disequality decompositions : 0
% 1.37/0.66 # Total rewrite steps : 1812
% 1.37/0.66 # ...of those cached : 1619
% 1.37/0.66 # Propositional unsat checks : 0
% 1.37/0.66 # Propositional check models : 0
% 1.37/0.66 # Propositional check unsatisfiable : 0
% 1.37/0.66 # Propositional clauses : 0
% 1.37/0.66 # Propositional clauses after purity: 0
% 1.37/0.66 # Propositional unsat core size : 0
% 1.37/0.66 # Propositional preprocessing time : 0.000
% 1.37/0.66 # Propositional encoding time : 0.000
% 1.37/0.66 # Propositional solver time : 0.000
% 1.37/0.66 # Success case prop preproc time : 0.000
% 1.37/0.66 # Success case prop encoding time : 0.000
% 1.37/0.66 # Success case prop solver time : 0.000
% 1.37/0.66 # Current number of processed clauses : 1489
% 1.37/0.66 # Positive orientable unit clauses : 450
% 1.37/0.66 # Positive unorientable unit clauses: 0
% 1.37/0.66 # Negative unit clauses : 577
% 1.37/0.66 # Non-unit-clauses : 462
% 1.37/0.66 # Current number of unprocessed clauses: 2693
% 1.37/0.66 # ...number of literals in the above : 6364
% 1.37/0.66 # Current number of archived formulas : 0
% 1.37/0.66 # Current number of archived clauses : 390
% 1.37/0.66 # Clause-clause subsumption calls (NU) : 37816
% 1.37/0.66 # Rec. Clause-clause subsumption calls : 21894
% 1.37/0.66 # Non-unit clause-clause subsumptions : 254
% 1.37/0.66 # Unit Clause-clause subsumption calls : 14995
% 1.37/0.66 # Rewrite failures with RHS unbound : 0
% 1.37/0.66 # BW rewrite match attempts : 797
% 1.37/0.66 # BW rewrite match successes : 49
% 1.37/0.66 # Condensation attempts : 0
% 1.37/0.66 # Condensation successes : 0
% 1.37/0.66 # Termbank termtop insertions : 153671
% 1.37/0.66 # Search garbage collected termcells : 1538
% 1.37/0.66
% 1.37/0.66 # -------------------------------------------------
% 1.37/0.66 # User time : 0.154 s
% 1.37/0.66 # System time : 0.014 s
% 1.37/0.66 # Total time : 0.169 s
% 1.37/0.66 # Maximum resident set size: 2084 pages
% 1.37/0.66
% 1.37/0.66 # -------------------------------------------------
% 1.37/0.66 # User time : 0.157 s
% 1.37/0.66 # System time : 0.017 s
% 1.37/0.66 # Total time : 0.174 s
% 1.37/0.66 # Maximum resident set size: 1884 pages
% 1.37/0.66 % E---3.1 exiting
% 1.37/0.66 % E exiting
%------------------------------------------------------------------------------