%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:33 PM UTC 2026
% Result : Theorem 2.17s 0.77s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 155 ( 59 unt; 0 def)
% Number of atoms : 400 ( 46 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 407 ( 162 ~; 157 |; 63 &)
% ( 4 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 202 ( 8 sgn 104 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X167] :
( occurrence_of(X167,tptp0)
=> ? [X168,X169] :
( min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& root_occ(X168,X167)
& occurrence_of(X168,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164,X165] :
( ! [X166] :
( min_precedes(X163,X166,tptp0)
=> ( X166 = X165
| X166 = X164 ) )
& min_precedes(X164,X165,tptp0)
& ( occurrence_of(X165,tptp1)
| occurrence_of(X165,tptp2) )
& min_precedes(X163,X164,tptp0)
& occurrence_of(X164,tptp4)
& root_occ(X163,X162)
& occurrence_of(X163,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity_occurrence(X2)
& activity(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( legal(X23)
& earlier(X22,X23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( root(X100,X102)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,X102) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(sos_03,axiom,
! [X8] :
( activity(X8)
=> subactivity(X8,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( occurrence_of(X3,X4)
& activity(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(sos_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( root_occ(X107,X108)
& root_occ(X106,X108)
& occurrence_of(X108,X109) )
=> X106 = X107 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_23,axiom,
! [X65,X66] :
( atocc(X65,X66)
<=> ? [X67] :
( occurrence_of(X65,X67)
& atomic(X67)
& subactivity(X66,X67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( subactivity_occurrence(X85,X87)
& occurrence_of(X87,X86)
& min_precedes(X84,X85,X86) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_16,axiom,
! [X42,X43] :
( root(X42,X43)
=> legal(X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(sos_17,axiom,
! [X44,X45] :
( ( legal(X44)
& atocc(X44,X45) )
=> root(X44,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_17) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_55) ).
fof(sos_12,axiom,
! [X29,X30] :
( root(X30,X29)
=> ? [X31] :
( atocc(X30,X31)
& subactivity(X31,X29) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_42,axiom,
! [X135,X136,X137,X138] :
( ( ~ min_precedes(X138,X137,X135)
& arboreal(X137)
& root_occ(X138,X136)
& subactivity_occurrence(X137,X136)
& occurrence_of(X136,X135) )
=> X138 = X137 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(sos_61,axiom,
tptp2 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_61) ).
fof(sos_60,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_60) ).
fof(sos_59,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_25,negated_conjecture,
~ ! [X167] :
( occurrence_of(X167,tptp0)
=> ? [X168,X169] :
( min_precedes(X168,X169,tptp0)
& ( occurrence_of(X169,tptp1)
| occurrence_of(X169,tptp2) )
& root_occ(X168,X167)
& occurrence_of(X168,tptp3) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_26,plain,
! [X348,X352] :
( ( ~ occurrence_of(X348,tptp0)
| X352 = esk19_1(X348)
| X352 = esk18_1(X348)
| ~ min_precedes(esk17_1(X348),X352,tptp0) )
& ( ~ occurrence_of(X348,tptp0)
| min_precedes(esk18_1(X348),esk19_1(X348),tptp0) )
& ( ~ occurrence_of(X348,tptp0)
| occurrence_of(esk19_1(X348),tptp1)
| occurrence_of(esk19_1(X348),tptp2) )
& ( ~ occurrence_of(X348,tptp0)
| min_precedes(esk17_1(X348),esk18_1(X348),tptp0) )
& ( ~ occurrence_of(X348,tptp0)
| occurrence_of(esk18_1(X348),tptp4) )
& ( ~ occurrence_of(X348,tptp0)
| root_occ(esk17_1(X348),X348) )
& ( ~ occurrence_of(X348,tptp0)
| occurrence_of(esk17_1(X348),tptp3) ) ),
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_27,negated_conjecture,
! [X354,X355] :
( ( ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1) )
& ( ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2) )
& occurrence_of(esk20_0,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_25])])])])])]) ).
fof(c_0_28,plain,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_29,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_30,plain,
! [X208,X209,X210] :
( precedes(X208,X209)
| ~ min_precedes(X208,X209,X210) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])])]) ).
cnf(c_0_31,plain,
( ~ occurrence_of(X1,tptp0)
| min_precedes(esk18_1(X1),esk19_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,plain,
! [X257,X258] :
( ( atomic(X257)
| ~ occurrence_of(X258,X257)
| subactivity_occurrence(esk12_2(X257,X258),X258) )
& ( atomic(X257)
| ~ occurrence_of(X258,X257)
| root(esk12_2(X257,X258),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_28])])])])]) ).
fof(c_0_34,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_29]) ).
fof(c_0_35,plain,
! [X170,X171] :
( ( ~ occurrence_of(X171,X170)
| activity_occurrence(X171) )
& ( ~ occurrence_of(X171,X170)
| activity(X170) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])])]) ).
cnf(c_0_36,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk19_1(X1),tptp1)
| occurrence_of(esk19_1(X1),tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
! [X191,X192] :
( ( precedes(X191,X192)
| ~ legal(X192)
| ~ earlier(X191,X192) )
& ( ~ precedes(X191,X192)
| legal(X192) )
& ( ~ precedes(X191,X192)
| earlier(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_38,plain,
( ~ min_precedes(X1,X2,X3)
| precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_40,plain,
! [X280,X281,X283,X284,X285] :
( ( root_occ(X283,X284)
| ~ root(X283,X285)
| ~ subactivity_occurrence(X283,X284)
| ~ occurrence_of(X284,X285) )
& ( ~ root_occ(X280,X281)
| root(X280,esk14_2(X280,X281)) )
& ( ~ root_occ(X280,X281)
| subactivity_occurrence(X280,X281) )
& ( ~ root_occ(X280,X281)
| occurrence_of(X281,esk14_2(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_33])])])])])])]) ).
cnf(c_0_41,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X177] :
( subactivity(X177,X177)
| ~ activity(X177) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
fof(c_0_44,plain,
! [X172] :
( ( ~ activity_occurrence(X172)
| occurrence_of(X172,esk1_1(X172)) )
& ( ~ activity_occurrence(X172)
| activity(esk1_1(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_45,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| occurrence_of(esk19_1(esk20_0),tptp1) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
fof(c_0_47,plain,
! [X188] :
( arboreal(X188)
| ~ legal(X188) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
cnf(c_0_48,plain,
( ~ precedes(X2,X1)
| legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_49,negated_conjecture,
precedes(esk18_1(esk20_0),esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_50,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_51,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_32]),c_0_42]) ).
cnf(c_0_52,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_53,plain,
( ~ activity(X1)
| subactivity(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,plain,
( ~ activity_occurrence(X1)
| activity(esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_55,plain,
! [X186,X187] :
( ( ~ occurrence_of(X186,X187)
| arboreal(X186)
| ~ atomic(X187) )
& ( ~ occurrence_of(X186,X187)
| atomic(X187)
| ~ arboreal(X186) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_56,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
activity_occurrence(esk19_1(esk20_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_45]) ).
cnf(c_0_58,plain,
( ~ legal(X1)
| arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_59,negated_conjecture,
legal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_60,plain,
! [X292,X293,X294,X295] :
( X292 = X293
| ~ root_occ(X293,X294)
| ~ root_occ(X292,X294)
| ~ occurrence_of(X294,X295) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_61,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| ~ root(esk12_2(tptp0,esk20_0),X1)
| root_occ(esk12_2(tptp0,esk20_0),esk20_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_62,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_32]),c_0_42]) ).
cnf(c_0_63,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk17_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_64,plain,
! [X242,X243,X245,X246,X247] :
( ( atocc(X245,X246)
| ~ occurrence_of(X245,X247)
| ~ atomic(X247)
| ~ subactivity(X246,X247) )
& ( ~ atocc(X242,X243)
| occurrence_of(X242,esk9_2(X242,X243)) )
& ( ~ atocc(X242,X243)
| atomic(esk9_2(X242,X243)) )
& ( ~ atocc(X242,X243)
| subactivity(X243,esk9_2(X242,X243)) ) ),
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_65,plain,
( ~ activity_occurrence(X1)
| subactivity(esk1_1(X1),esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_66,plain,
( ~ occurrence_of(X1,X2)
| ~ arboreal(X1)
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
occurrence_of(esk19_1(esk20_0),esk1_1(esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
arboreal(esk19_1(esk20_0)),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_69,plain,
! [X264,X265,X266,X267] :
( subactivity_occurrence(X264,X267)
| ~ subactivity_occurrence(X265,X267)
| ~ occurrence_of(X267,X266)
| ~ min_precedes(X264,X265,X266) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_70,plain,
( ~ occurrence_of(X1,tptp0)
| min_precedes(esk17_1(X1),esk18_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_71,plain,
! [X250,X251,X252] :
( ( ~ min_precedes(X251,X252,X250)
| subactivity_occurrence(X252,esk10_3(X250,X251,X252)) )
& ( ~ min_precedes(X251,X252,X250)
| subactivity_occurrence(X251,esk10_3(X250,X251,X252)) )
& ( ~ min_precedes(X251,X252,X250)
| occurrence_of(esk10_3(X250,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_72,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,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_61,c_0_32]),c_0_62])]) ).
cnf(c_0_74,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_75,plain,
( ~ occurrence_of(X2,X1)
| activity(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_76,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp3),
inference(spm,[status(thm)],[c_0_63,c_0_32]) ).
fof(c_0_77,plain,
! [X174,X175,X176] :
( X175 = X176
| ~ occurrence_of(X174,X176)
| ~ occurrence_of(X174,X175) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_78,plain,
( ~ occurrence_of(X3,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2)
| atocc(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_79,negated_conjecture,
subactivity(esk1_1(esk19_1(esk20_0)),esk1_1(esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_80,negated_conjecture,
atomic(esk1_1(esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_81,plain,
( ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3)
| ~ min_precedes(X1,X2,X3)
| subactivity_occurrence(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_82,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_70,c_0_32]) ).
cnf(c_0_83,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_84,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk10_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_85,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ root_occ(X1,esk20_0)
| X1 = esk12_2(tptp0,esk20_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_86,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_74,c_0_32]) ).
cnf(c_0_87,negated_conjecture,
activity(tptp3),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_88,plain,
! [X211,X212] :
( legal(X211)
| ~ root(X211,X212) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).
cnf(c_0_89,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_90,plain,
! [X213,X214] :
( root(X213,X214)
| ~ legal(X213)
| ~ atocc(X213,X214) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])])]) ).
cnf(c_0_91,negated_conjecture,
( ~ occurrence_of(X1,esk1_1(esk19_1(esk20_0)))
| atocc(X1,esk1_1(esk19_1(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_92,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk18_1(esk20_0),X1)
| subactivity_occurrence(esk17_1(esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_83,c_0_39]) ).
cnf(c_0_94,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_84,c_0_39]) ).
cnf(c_0_95,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| esk12_2(tptp0,esk20_0) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_96,negated_conjecture,
subactivity(tptp3,tptp3),
inference(spm,[status(thm)],[c_0_53,c_0_87]) ).
cnf(c_0_97,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_55]) ).
cnf(c_0_98,plain,
( ~ root(X1,X2)
| legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_99,negated_conjecture,
( ~ occurrence_of(esk19_1(esk20_0),X1)
| occurrence_of(esk19_1(esk20_0),tptp2)
| X1 = tptp1 ),
inference(spm,[status(thm)],[c_0_89,c_0_46]) ).
fof(c_0_100,plain,
! [X198,X199] :
( ( ~ root(X199,X198)
| atocc(X199,esk4_2(X198,X199)) )
& ( ~ root(X199,X198)
| subactivity(esk4_2(X198,X199),X198) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])])]) ).
cnf(c_0_101,plain,
( ~ legal(X1)
| ~ atocc(X1,X2)
| root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_102,negated_conjecture,
atocc(esk19_1(esk20_0),esk1_1(esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_91,c_0_67]) ).
fof(c_0_103,plain,
! [X135,X136,X137,X138] :
( ( ~ min_precedes(X138,X137,X135)
& arboreal(X137)
& root_occ(X138,X136)
& subactivity_occurrence(X137,X136)
& occurrence_of(X136,X135) )
=> X138 = X137 ),
inference(fof_simplification,[status(thm)],[sos_42]) ).
cnf(c_0_104,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_92,c_0_93]),c_0_94])]) ).
cnf(c_0_105,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_95,c_0_32]) ).
cnf(c_0_106,negated_conjecture,
( ~ occurrence_of(X1,tptp3)
| atocc(X1,tptp3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_96]),c_0_97])]) ).
cnf(c_0_107,negated_conjecture,
legal(esk12_2(tptp0,esk20_0)),
inference(spm,[status(thm)],[c_0_98,c_0_62]) ).
cnf(c_0_108,negated_conjecture,
( ~ occurrence_of(esk19_1(esk20_0),X1)
| X1 = esk1_1(esk19_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_89,c_0_67]) ).
cnf(c_0_109,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| esk1_1(esk19_1(esk20_0)) = tptp1 ),
inference(spm,[status(thm)],[c_0_99,c_0_67]) ).
cnf(c_0_110,plain,
( ~ root(X1,X2)
| atocc(X1,esk4_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_111,negated_conjecture,
root(esk19_1(esk20_0),esk1_1(esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_59])]) ).
fof(c_0_112,plain,
! [X321,X322,X323,X324] :
( X324 = X323
| min_precedes(X324,X323,X321)
| ~ arboreal(X323)
| ~ root_occ(X324,X322)
| ~ subactivity_occurrence(X323,X322)
| ~ occurrence_of(X322,X321) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])]) ).
cnf(c_0_113,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1)
| ~ root(esk17_1(esk20_0),X1)
| root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) ),
inference(spm,[status(thm)],[c_0_50,c_0_104]) ).
cnf(c_0_114,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_62,c_0_105]) ).
cnf(c_0_115,negated_conjecture,
atocc(esk17_1(esk20_0),tptp3),
inference(spm,[status(thm)],[c_0_106,c_0_76]) ).
cnf(c_0_116,negated_conjecture,
legal(esk17_1(esk20_0)),
inference(rw,[status(thm)],[c_0_107,c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( esk1_1(esk19_1(esk20_0)) = tptp2
| esk1_1(esk19_1(esk20_0)) = tptp1 ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_118,plain,
( ~ atocc(X1,X2)
| occurrence_of(X1,esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_119,negated_conjecture,
atocc(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_120,plain,
tptp2 != tptp1,
inference(fof_simplification,[status(thm)],[sos_61]) ).
cnf(c_0_121,plain,
( ~ arboreal(X3)
| ~ root_occ(X4,X1)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| X4 = X3
| min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_122,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_113,c_0_114]),c_0_93])]) ).
cnf(c_0_123,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_124,negated_conjecture,
( ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk20_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_125,negated_conjecture,
( ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk20_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_126,negated_conjecture,
root(esk17_1(esk20_0),tptp3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_115]),c_0_116])]) ).
cnf(c_0_127,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| esk1_1(esk19_1(esk20_0)) = tptp2 ),
inference(spm,[status(thm)],[c_0_67,c_0_117]) ).
cnf(c_0_128,negated_conjecture,
occurrence_of(esk19_1(esk20_0),esk9_2(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
fof(c_0_129,plain,
tptp2 != tptp1,
inference(fof_nnf,[status(thm)],[c_0_120]) ).
cnf(c_0_130,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
| min_precedes(esk17_1(esk20_0),X1,X2)
| X1 = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_131,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_123,c_0_39]) ).
cnf(c_0_132,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_86]),c_0_76])]) ).
cnf(c_0_133,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_86]),c_0_76])]) ).
cnf(c_0_134,negated_conjecture,
activity_occurrence(esk17_1(esk20_0)),
inference(spm,[status(thm)],[c_0_45,c_0_76]) ).
cnf(c_0_135,negated_conjecture,
atocc(esk17_1(esk20_0),esk4_2(tptp3,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_110,c_0_126]) ).
fof(c_0_136,plain,
tptp3 != tptp1,
inference(fof_simplification,[status(thm)],[sos_60]) ).
fof(c_0_137,plain,
tptp3 != tptp2,
inference(fof_simplification,[status(thm)],[sos_59]) ).
cnf(c_0_138,negated_conjecture,
( ~ occurrence_of(esk19_1(esk20_0),X1)
| X1 = tptp1
| esk1_1(esk19_1(esk20_0)) = tptp2 ),
inference(spm,[status(thm)],[c_0_89,c_0_127]) ).
cnf(c_0_139,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| esk9_2(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0))) = tptp1 ),
inference(spm,[status(thm)],[c_0_99,c_0_128]) ).
cnf(c_0_140,plain,
tptp2 != tptp1,
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_141,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1)
| min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),X1)
| esk19_1(esk20_0) = esk17_1(esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_68])]) ).
cnf(c_0_142,negated_conjecture,
~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_46]),c_0_133]) ).
cnf(c_0_143,negated_conjecture,
( ~ occurrence_of(esk17_1(esk20_0),X1)
| X1 = tptp3 ),
inference(spm,[status(thm)],[c_0_89,c_0_76]) ).
cnf(c_0_144,negated_conjecture,
occurrence_of(esk17_1(esk20_0),esk1_1(esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_56,c_0_134]) ).
cnf(c_0_145,negated_conjecture,
occurrence_of(esk17_1(esk20_0),esk9_2(esk17_1(esk20_0),esk4_2(tptp3,esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_118,c_0_135]) ).
fof(c_0_146,plain,
tptp3 != tptp1,
inference(fof_nnf,[status(thm)],[c_0_136]) ).
fof(c_0_147,plain,
tptp3 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_137]) ).
cnf(c_0_148,negated_conjecture,
( esk1_1(esk19_1(esk20_0)) = tptp2
| esk9_2(esk19_1(esk20_0),esk4_2(esk1_1(esk19_1(esk20_0)),esk19_1(esk20_0))) = tptp1 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_149,negated_conjecture,
esk19_1(esk20_0) = esk17_1(esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_93]),c_0_142]) ).
cnf(c_0_150,negated_conjecture,
esk1_1(esk17_1(esk20_0)) = tptp3,
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_151,negated_conjecture,
esk9_2(esk17_1(esk20_0),esk4_2(tptp3,esk17_1(esk20_0))) = tptp3,
inference(spm,[status(thm)],[c_0_143,c_0_145]) ).
cnf(c_0_152,plain,
tptp3 != tptp1,
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_153,plain,
tptp3 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_154,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149]),c_0_149]),c_0_150]),c_0_149]),c_0_151]),c_0_149]),c_0_150]),c_0_152]),c_0_153]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO012+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:44:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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/benchmark/theBenchmark.p
% 2.17/0.77 % Version: 3.5.1
% 2.17/0.77 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.17/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.17/0.77 % Starting new_bool_3 with 300s (1) cores
% 2.17/0.77 % Starting new_bool_1 with 300s (1) cores
% 2.17/0.77 % Starting sh5l with 300s (1) cores
% 2.17/0.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 890705 completed with status 0
% 2.17/0.77 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 2.17/0.77 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.17/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.17/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.17/0.77 % No SInE strategy applied
% 2.17/0.77 % Search class: FGHSF-FFMM32-SFFFFFNN
% 2.17/0.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.17/0.77 % Starting SubtermCWHack with 136s (1) cores
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 2.17/0.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 2.17/0.77 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 2.17/0.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 890714 completed with status 0
% 2.17/0.77 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 2.17/0.77 % Preprocessing class: FSLSSMSSSSSNFFN.
% 2.17/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 2.17/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.17/0.77 % No SInE strategy applied
% 2.17/0.77 % Search class: FGHSF-FFMM32-SFFFFFNN
% 2.17/0.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.17/0.77 % Starting SubtermCWHack with 136s (1) cores
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 2.17/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 2.17/0.77 % Preprocessing time : 0.002 s
% 2.17/0.77 % Presaturation interreduction done
% 2.17/0.77
% 2.17/0.77 % Proof found!
% 2.17/0.77 % SZS status Theorem
% 2.17/0.77 % SZS output start CNFRefutation
% See solution above
% 2.17/0.77 % Parsed axioms : 63
% 2.17/0.77 % Removed by relevancy pruning/SinE : 0
% 2.17/0.77 % Initial clauses : 104
% 2.17/0.77 % Removed in clause preprocessing : 0
% 2.17/0.77 % Initial clauses in saturation : 104
% 2.17/0.77 % Processed clauses : 4698
% 2.17/0.77 % ...of these trivial : 66
% 2.17/0.77 % ...subsumed : 1657
% 2.17/0.77 % ...remaining for further processing : 2975
% 2.17/0.77 % Other redundant clauses eliminated : 0
% 2.17/0.77 % Clauses deleted for lack of memory : 0
% 2.17/0.77 % Backward-subsumed : 7
% 2.17/0.77 % Backward-rewritten : 970
% 2.17/0.77 % Generated clauses : 11308
% 2.17/0.77 % ...of the previous two non-redundant : 9770
% 2.17/0.77 % ...aggressively subsumed : 0
% 2.17/0.77 % Contextual simplify-reflections : 17
% 2.17/0.77 % Paramodulations : 11301
% 2.17/0.77 % Factorizations : 7
% 2.17/0.77 % NegExts : 0
% 2.17/0.77 % Equation resolutions : 0
% 2.17/0.77 % Disequality decompositions : 0
% 2.17/0.77 % Total rewrite steps : 3093
% 2.17/0.77 % ...of those cached : 2837
% 2.17/0.77 % Propositional unsat checks : 0
% 2.17/0.77 % Propositional check models : 0
% 2.17/0.77 % Propositional check unsatisfiable : 0
% 2.17/0.77 % Propositional clauses : 0
% 2.17/0.77 % Propositional clauses after purity: 0
% 2.17/0.77 % Propositional unsat core size : 0
% 2.17/0.77 % Propositional preprocessing time : 0.000
% 2.17/0.77 % Propositional encoding time : 0.000
% 2.17/0.77 % Propositional solver time : 0.000
% 2.17/0.77 % Success case prop preproc time : 0.000
% 2.17/0.77 % Success case prop encoding time : 0.000
% 2.17/0.77 % Success case prop solver time : 0.000
% 2.17/0.77 % Current number of processed clauses : 1894
% 2.17/0.77 % Positive orientable unit clauses : 450
% 2.17/0.77 % Positive unorientable unit clauses: 0
% 2.17/0.77 % Negative unit clauses : 780
% 2.17/0.77 % Non-unit-clauses : 664
% 2.17/0.77 % Current number of unprocessed clauses: 4746
% 2.17/0.77 % ...number of literals in the above : 13416
% 2.17/0.77 % Current number of archived formulas : 0
% 2.17/0.77 % Current number of archived clauses : 1081
% 2.17/0.77 % Clause-clause subsumption calls (NU) : 206211
% 2.17/0.77 % Rec. Clause-clause subsumption calls : 118403
% 2.17/0.77 % Non-unit clause-clause subsumptions : 1334
% 2.17/0.77 % Unit Clause-clause subsumption calls : 30251
% 2.17/0.77 % Rewrite failures with RHS unbound : 0
% 2.17/0.77 % BW rewrite match attempts : 509
% 2.17/0.77 % BW rewrite match successes : 51
% 2.17/0.77 % Condensation attempts : 0
% 2.17/0.77 % Condensation successes : 0
% 2.17/0.77 % Termbank termtop insertions : 267780
% 2.17/0.77 % Search garbage collected termcells : 1889
% 2.17/0.77
% 2.17/0.77 % -------------------------------------------------
% 2.17/0.77 % User time : 0.316 s
% 2.17/0.77 % System time : 0.021 s
% 2.17/0.77 % Total time : 0.337 s
% 2.17/0.77 % Maximum resident set size: 4064 pages
% 2.17/0.77
% 2.17/0.77 % -------------------------------------------------
% 2.17/0.77 % User time : 1.489 s
% 2.17/0.77 % System time : 0.074 s
% 2.17/0.77 % Total time : 1.563 s
% 2.17/0.77 % Maximum resident set size: 5120 pages
% 2.17/0.77 % E exiting
%------------------------------------------------------------------------------