TSTP Solution File: PRO012+3 by E-SAT---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : PRO012+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n032.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 13:40:15 EDT 2024
% Result : Theorem 1.67s 0.68s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 108 ( 31 unt; 0 def)
% Number of atoms : 311 ( 27 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 332 ( 129 ~; 126 |; 56 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 182 ( 8 sgn 94 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
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.hiF6Yi1Z93/E---3.1_24459.p',sos_27) ).
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.hiF6Yi1Z93/E---3.1_24459.p',goals) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_51) ).
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.hiF6Yi1Z93/E---3.1_24459.p',sos_49) ).
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.hiF6Yi1Z93/E---3.1_24459.p',sos_33) ).
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.hiF6Yi1Z93/E---3.1_24459.p',sos_35) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity(X1)
& activity_occurrence(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos) ).
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.hiF6Yi1Z93/E---3.1_24459.p',sos_25) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( activity(X4)
& occurrence_of(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_01) ).
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.hiF6Yi1Z93/E---3.1_24459.p',sos_29) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_15) ).
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/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_42) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( earlier(X22,X23)
& legal(X23) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_10) ).
fof(sos_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_08) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_02) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_14) ).
fof(sos_13,axiom,
! [X32,X33,X34] :
( min_precedes(X32,X33,X34)
=> ? [X35] :
( root(X35,X34)
& min_precedes(X35,X33,X34) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p',sos_13) ).
fof(c_0_17,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_18,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_19,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_20,plain,
! [X257,X258] :
( ( root(esk12_2(X257,X258),X257)
| ~ occurrence_of(X258,X257)
| atomic(X257) )
& ( subactivity_occurrence(esk12_2(X257,X258),X258)
| ~ occurrence_of(X258,X257)
| atomic(X257) ) ),
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_17])])])])]) ).
fof(c_0_21,negated_conjecture,
! [X354,X355] :
( occurrence_of(esk20_0,tptp0)
& ( ~ occurrence_of(X355,tptp2)
| ~ occurrence_of(X354,tptp3)
| ~ root_occ(X354,esk20_0)
| ~ min_precedes(X354,X355,tptp0) )
& ( ~ occurrence_of(X355,tptp1)
| ~ occurrence_of(X354,tptp3)
| ~ root_occ(X354,esk20_0)
| ~ min_precedes(X354,X355,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_18])])])])])]) ).
fof(c_0_22,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X348,X352] :
( ( occurrence_of(esk17_1(X348),tptp3)
| ~ occurrence_of(X348,tptp0) )
& ( root_occ(esk17_1(X348),X348)
| ~ occurrence_of(X348,tptp0) )
& ( occurrence_of(esk18_1(X348),tptp4)
| ~ occurrence_of(X348,tptp0) )
& ( min_precedes(esk17_1(X348),esk18_1(X348),tptp0)
| ~ occurrence_of(X348,tptp0) )
& ( occurrence_of(esk19_1(X348),tptp2)
| occurrence_of(esk19_1(X348),tptp1)
| ~ occurrence_of(X348,tptp0) )
& ( min_precedes(esk18_1(X348),esk19_1(X348),tptp0)
| ~ occurrence_of(X348,tptp0) )
& ( ~ min_precedes(esk17_1(X348),X352,tptp0)
| X352 = esk18_1(X348)
| X352 = esk19_1(X348)
| ~ occurrence_of(X348,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_24,plain,
! [X280,X281,X283,X284,X285] :
( ( occurrence_of(X281,esk14_2(X280,X281))
| ~ root_occ(X280,X281) )
& ( subactivity_occurrence(X280,X281)
| ~ root_occ(X280,X281) )
& ( root(X280,esk14_2(X280,X281))
| ~ root_occ(X280,X281) )
& ( ~ occurrence_of(X284,X285)
| ~ subactivity_occurrence(X283,X284)
| ~ root(X283,X285)
| root_occ(X283,X284) ) ),
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_25,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X292,X293,X294,X295] :
( ~ occurrence_of(X294,X295)
| ~ root_occ(X292,X294)
| ~ root_occ(X293,X294)
| X292 = X293 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_29,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,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_34,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
cnf(c_0_35,negated_conjecture,
( root_occ(esk12_2(tptp0,esk20_0),X1)
| ~ subactivity_occurrence(esk12_2(tptp0,esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_27]) ).
fof(c_0_37,plain,
! [X170,X171] :
( ( activity(X170)
| ~ occurrence_of(X171,X170) )
& ( activity_occurrence(X171)
| ~ occurrence_of(X171,X170) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])])]) ).
fof(c_0_38,plain,
! [X250,X251,X252] :
( ( occurrence_of(esk10_3(X250,X251,X252),X250)
| ~ min_precedes(X251,X252,X250) )
& ( subactivity_occurrence(X251,esk10_3(X250,X251,X252))
| ~ min_precedes(X251,X252,X250) )
& ( subactivity_occurrence(X252,esk10_3(X250,X251,X252))
| ~ min_precedes(X251,X252,X250) ) ),
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_39,plain,
( min_precedes(esk18_1(X1),esk19_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk17_1(esk20_0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(esk20_0,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk12_2(tptp0,esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26])]) ).
fof(c_0_42,plain,
! [X172] :
( ( activity(esk1_1(X172))
| ~ activity_occurrence(X172) )
& ( occurrence_of(X172,esk1_1(X172))
| ~ activity_occurrence(X172) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])])]) ).
cnf(c_0_43,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,plain,
! [X264,X265,X266,X267] :
( ~ min_precedes(X264,X265,X266)
| ~ occurrence_of(X267,X266)
| ~ subactivity_occurrence(X265,X267)
| subactivity_occurrence(X264,X267) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_45,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_39,c_0_26]) ).
cnf(c_0_47,negated_conjecture,
( esk12_2(tptp0,esk20_0) = esk17_1(esk20_0)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_48,plain,
( occurrence_of(X1,esk1_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
activity_occurrence(esk20_0),
inference(spm,[status(thm)],[c_0_43,c_0_26]) ).
cnf(c_0_50,plain,
( subactivity_occurrence(X1,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
subactivity_occurrence(esk18_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( min_precedes(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_53,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_54,plain,
! [X208,X209,X210] :
( ~ min_precedes(X208,X209,X210)
| precedes(X208,X209) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])])]) ).
fof(c_0_55,plain,
! [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 ),
inference(fof_simplification,[status(thm)],[sos_42]) ).
cnf(c_0_56,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
cnf(c_0_57,negated_conjecture,
( subactivity_occurrence(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
| ~ min_precedes(X1,esk18_1(esk20_0),X2)
| ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_52,c_0_26]) ).
cnf(c_0_59,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_53,c_0_46]) ).
fof(c_0_60,plain,
! [X191,X192] :
( ( earlier(X191,X192)
| ~ precedes(X191,X192) )
& ( legal(X192)
| ~ precedes(X191,X192) )
& ( ~ earlier(X191,X192)
| ~ legal(X192)
| precedes(X191,X192) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])]) ).
cnf(c_0_61,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_62,plain,
! [X321,X322,X323,X324] :
( ~ occurrence_of(X322,X321)
| ~ subactivity_occurrence(X323,X322)
| ~ root_occ(X324,X322)
| ~ arboreal(X323)
| min_precedes(X324,X323,X321)
| X324 = X323 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
cnf(c_0_63,negated_conjecture,
( root_occ(esk17_1(esk20_0),X1)
| ~ subactivity_occurrence(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_56]),c_0_56]) ).
cnf(c_0_64,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
fof(c_0_65,plain,
! [X188] :
( ~ legal(X188)
| arboreal(X188) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
cnf(c_0_66,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
precedes(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_61,c_0_46]) ).
fof(c_0_68,plain,
! [X174,X175,X176] :
( ~ occurrence_of(X174,X175)
| ~ occurrence_of(X174,X176)
| X175 = X176 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_69,plain,
( min_precedes(X4,X3,X2)
| X4 = X3
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root_occ(X4,X1)
| ~ arboreal(X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_70,negated_conjecture,
root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_59])]) ).
cnf(c_0_71,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_72,plain,
( arboreal(X1)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_73,negated_conjecture,
legal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( occurrence_of(esk17_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_76,negated_conjecture,
( X1 = esk17_1(esk20_0)
| min_precedes(esk17_1(esk20_0),X1,X2)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
| ~ arboreal(X1)
| ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
subactivity_occurrence(esk19_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_71,c_0_46]) ).
cnf(c_0_78,negated_conjecture,
arboreal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,plain,
( X1 = esk1_1(X2)
| ~ occurrence_of(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_48]),c_0_43]) ).
cnf(c_0_80,plain,
( occurrence_of(X1,esk14_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_81,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk20_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_82,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp3),
inference(spm,[status(thm)],[c_0_75,c_0_26]) ).
cnf(c_0_83,negated_conjecture,
( esk19_1(esk20_0) = esk17_1(esk20_0)
| min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),X1)
| ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_84,negated_conjecture,
esk1_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = tptp0,
inference(spm,[status(thm)],[c_0_79,c_0_59]) ).
cnf(c_0_85,negated_conjecture,
activity_occurrence(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_43,c_0_59]) ).
cnf(c_0_86,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ occurrence_of(X2,tptp3)
| ~ root_occ(X2,esk20_0)
| ~ min_precedes(X2,X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_87,plain,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
inference(fof_simplification,[status(thm)],[sos_14]) ).
cnf(c_0_88,negated_conjecture,
( X1 = tptp0
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_26]) ).
cnf(c_0_89,negated_conjecture,
occurrence_of(esk20_0,esk14_2(esk17_1(esk20_0),esk20_0)),
inference(spm,[status(thm)],[c_0_80,c_0_34]) ).
fof(c_0_90,plain,
! [X201,X202,X203] :
( ( root(esk5_3(X201,X202,X203),X203)
| ~ min_precedes(X201,X202,X203) )
& ( min_precedes(esk5_3(X201,X202,X203),X202,X203)
| ~ min_precedes(X201,X202,X203) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])])])]) ).
cnf(c_0_91,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ occurrence_of(X1,tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_34]),c_0_82])]) ).
cnf(c_0_92,negated_conjecture,
( esk19_1(esk20_0) = esk17_1(esk20_0)
| min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_48]),c_0_84]),c_0_85])]) ).
cnf(c_0_93,plain,
( occurrence_of(esk19_1(X1),tptp2)
| occurrence_of(esk19_1(X1),tptp1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_94,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ occurrence_of(X1,tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_34]),c_0_82])]) ).
fof(c_0_95,plain,
! [X205,X206,X207] :
( ~ min_precedes(X205,X206,X207)
| ~ root(X206,X207) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
cnf(c_0_96,plain,
( root(X1,esk14_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_97,negated_conjecture,
esk14_2(esk17_1(esk20_0),esk20_0) = tptp0,
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_98,plain,
( min_precedes(esk5_3(X1,X2,X3),X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_99,negated_conjecture,
( esk19_1(esk20_0) = esk17_1(esk20_0)
| ~ occurrence_of(esk19_1(esk20_0),tptp1) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| occurrence_of(esk19_1(esk20_0),tptp2) ),
inference(spm,[status(thm)],[c_0_93,c_0_26]) ).
cnf(c_0_101,negated_conjecture,
( esk19_1(esk20_0) = esk17_1(esk20_0)
| ~ occurrence_of(esk19_1(esk20_0),tptp2) ),
inference(spm,[status(thm)],[c_0_94,c_0_92]) ).
cnf(c_0_102,plain,
( ~ min_precedes(X1,X2,X3)
| ~ root(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_34]),c_0_97]) ).
cnf(c_0_104,negated_conjecture,
min_precedes(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_98,c_0_46]) ).
cnf(c_0_105,negated_conjecture,
esk19_1(esk20_0) = esk17_1(esk20_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
cnf(c_0_106,negated_conjecture,
~ min_precedes(X1,esk17_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_105]),c_0_106]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : PRO012+3 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.08 % Command : run_E %s %d SAT
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Thu Jun 20 06:25:53 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.hiF6Yi1Z93/E---3.1_24459.p
% 1.67/0.68 # Version: 3.2.0
% 1.67/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.67/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.67/0.68 # Starting new_bool_3 with 300s (1) cores
% 1.67/0.68 # Starting new_bool_1 with 300s (1) cores
% 1.67/0.68 # Starting sh5l with 300s (1) cores
% 1.67/0.68 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24536 completed with status 0
% 1.67/0.68 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.67/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.67/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.67/0.68 # No SInE strategy applied
% 1.67/0.68 # Search class: FGHSF-FFMM32-SFFFFFNN
% 1.67/0.68 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.67/0.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.67/0.68 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.67/0.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.67/0.68 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 24547 completed with status 0
% 1.67/0.68 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 1.67/0.68 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.67/0.68 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.67/0.68 # No SInE strategy applied
% 1.67/0.68 # Search class: FGHSF-FFMM32-SFFFFFNN
% 1.67/0.68 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 811s (1) cores
% 1.67/0.68 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.67/0.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.67/0.68 # Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.67/0.68 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 1.67/0.68 # Preprocessing time : 0.013 s
% 1.67/0.68 # Presaturation interreduction done
% 1.67/0.68
% 1.67/0.68 # Proof found!
% 1.67/0.68 # SZS status Theorem
% 1.67/0.68 # SZS output start CNFRefutation
% See solution above
% 1.67/0.68 # Parsed axioms : 63
% 1.67/0.68 # Removed by relevancy pruning/SinE : 0
% 1.67/0.68 # Initial clauses : 104
% 1.67/0.68 # Removed in clause preprocessing : 0
% 1.67/0.68 # Initial clauses in saturation : 104
% 1.67/0.68 # Processed clauses : 2245
% 1.67/0.68 # ...of these trivial : 107
% 1.67/0.68 # ...subsumed : 725
% 1.67/0.68 # ...remaining for further processing : 1413
% 1.67/0.68 # Other redundant clauses eliminated : 0
% 1.67/0.68 # Clauses deleted for lack of memory : 0
% 1.67/0.68 # Backward-subsumed : 34
% 1.67/0.68 # Backward-rewritten : 435
% 1.67/0.68 # Generated clauses : 5430
% 1.67/0.68 # ...of the previous two non-redundant : 4407
% 1.67/0.68 # ...aggressively subsumed : 0
% 1.67/0.68 # Contextual simplify-reflections : 20
% 1.67/0.68 # Paramodulations : 5428
% 1.67/0.68 # Factorizations : 2
% 1.67/0.68 # NegExts : 0
% 1.67/0.68 # Equation resolutions : 0
% 1.67/0.68 # Disequality decompositions : 0
% 1.67/0.68 # Total rewrite steps : 3185
% 1.67/0.68 # ...of those cached : 2895
% 1.67/0.68 # Propositional unsat checks : 0
% 1.67/0.68 # Propositional check models : 0
% 1.67/0.68 # Propositional check unsatisfiable : 0
% 1.67/0.68 # Propositional clauses : 0
% 1.67/0.68 # Propositional clauses after purity: 0
% 1.67/0.68 # Propositional unsat core size : 0
% 1.67/0.68 # Propositional preprocessing time : 0.000
% 1.67/0.68 # Propositional encoding time : 0.000
% 1.67/0.68 # Propositional solver time : 0.000
% 1.67/0.68 # Success case prop preproc time : 0.000
% 1.67/0.68 # Success case prop encoding time : 0.000
% 1.67/0.68 # Success case prop solver time : 0.000
% 1.67/0.68 # Current number of processed clauses : 840
% 1.67/0.68 # Positive orientable unit clauses : 363
% 1.67/0.68 # Positive unorientable unit clauses: 0
% 1.67/0.68 # Negative unit clauses : 98
% 1.67/0.68 # Non-unit-clauses : 379
% 1.67/0.68 # Current number of unprocessed clauses: 2100
% 1.67/0.68 # ...number of literals in the above : 5116
% 1.67/0.68 # Current number of archived formulas : 0
% 1.67/0.68 # Current number of archived clauses : 573
% 1.67/0.68 # Clause-clause subsumption calls (NU) : 65752
% 1.67/0.68 # Rec. Clause-clause subsumption calls : 41565
% 1.67/0.68 # Non-unit clause-clause subsumptions : 524
% 1.67/0.68 # Unit Clause-clause subsumption calls : 3326
% 1.67/0.68 # Rewrite failures with RHS unbound : 0
% 1.67/0.68 # BW rewrite match attempts : 473
% 1.67/0.68 # BW rewrite match successes : 38
% 1.67/0.68 # Condensation attempts : 0
% 1.67/0.68 # Condensation successes : 0
% 1.67/0.68 # Termbank termtop insertions : 118790
% 1.67/0.68 # Search garbage collected termcells : 1889
% 1.67/0.68
% 1.67/0.68 # -------------------------------------------------
% 1.67/0.68 # User time : 0.202 s
% 1.67/0.68 # System time : 0.020 s
% 1.67/0.68 # Total time : 0.222 s
% 1.67/0.68 # Maximum resident set size: 2176 pages
% 1.67/0.68
% 1.67/0.68 # -------------------------------------------------
% 1.67/0.68 # User time : 1.005 s
% 1.67/0.68 # System time : 0.076 s
% 1.67/0.68 # Total time : 1.081 s
% 1.67/0.68 # Maximum resident set size: 1884 pages
% 1.67/0.68 % E---3.1 exiting
% 1.67/0.68 % E exiting
%------------------------------------------------------------------------------