%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO002+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/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 01:59:28 PM UTC 2026
% Result : Theorem 8.35s 6.68s
% Output : CNFRefutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 136 ( 39 unt; 0 def)
% Number of atoms : 392 ( 42 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 422 ( 166 ~; 161 |; 73 &)
% ( 4 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-5 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-4 aty)
% Number of variables : 266 ( 31 sgn 130 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_48,axiom,
! [X115,X116,X117] :
( tptp1(X115,X116,X117)
=> ( root(X117,X116)
& ~ atomic(X116)
& ~ atomic(X115)
& activity(X115) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(goals,conjecture,
~ ? [X128,X129,X130] :
( occurrence_of(X130,X128)
& tptp1(X128,tptp0,X129) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_30,axiom,
! [X92,X93] :
( ( ~ atomic(X92)
& occurrence_of(X93,X92) )
=> ? [X94] :
( subactivity_occurrence(X94,X93)
& root(X94,X92) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(sos_10,axiom,
! [X33,X34] :
( root_occ(X33,X34)
<=> ? [X35] :
( root(X33,X35)
& subactivity_occurrence(X33,X34)
& occurrence_of(X34,X35) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(sos_49,axiom,
! [X118,X119,X120,X121] :
( ( occurrence_of(X121,X118)
& tptp1(X118,X119,X120) )
=> ? [X122,X123,X124,X125] :
( root_occ(X125,X121)
& occurrence_of(X125,X122)
& send_message(X122,X123,X124,X120,X119) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_02,axiom,
! [X8,X9,X10,X11] :
( ( root_occ(X9,X10)
& root_occ(X8,X10)
& occurrence_of(X10,X11) )
=> X8 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_47,axiom,
! [X109,X110,X111,X112,X113,X114] :
( ( occurrence_of(X114,X109)
& send_message(X109,X110,X111,X112,X113) )
=> min_precedes(X112,X114,X113) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(sos_24,axiom,
! [X71,X72,X73] :
( min_precedes(X72,X73,X71)
=> ? [X74] :
( subactivity_occurrence(X73,X74)
& subactivity_occurrence(X72,X74)
& occurrence_of(X74,X71) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(sos_32,axiom,
! [X96] :
( occurrence_of(X96,tptp0)
=> ? [X97,X98] :
( next_subocc(X97,X98,tptp0)
& leaf_occ(X98,X96)
& ( occurrence_of(X98,tptp2)
| occurrence_of(X98,tptp3) )
& root_occ(X97,X96)
& occurrence_of(X97,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_12,axiom,
! [X39,X40] :
( root(X39,X40)
=> legal(X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_11,axiom,
! [X36,X37] :
( leaf_occ(X36,X37)
<=> ? [X38] :
( leaf(X36,X38)
& subactivity_occurrence(X36,X37)
& occurrence_of(X37,X38) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_17,axiom,
! [X52] :
( legal(X52)
=> arboreal(X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(sos_19,axiom,
! [X55,X56] :
( subactivity_occurrence(X55,X56)
=> ( activity_occurrence(X56)
& activity_occurrence(X55) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(sos_28,axiom,
! [X86,X87,X88,X89] :
( ( subactivity_occurrence(X89,X87)
& subactivity_occurrence(X88,X87)
& arboreal(X89)
& arboreal(X88)
& occurrence_of(X87,X86) )
=> ( X88 = X89
| min_precedes(X89,X88,X86)
| min_precedes(X88,X89,X86) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(sos_05,axiom,
! [X20,X21,X22] :
( next_subocc(X20,X21,X22)
=> ( arboreal(X21)
& arboreal(X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(sos_04,axiom,
! [X16,X17,X18] :
( next_subocc(X16,X17,X18)
<=> ( ~ ? [X19] :
( min_precedes(X19,X17,X18)
& min_precedes(X16,X19,X18) )
& min_precedes(X16,X17,X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(sos_22,axiom,
! [X65,X66,X67] :
( ( occurrence_of(X65,X67)
& occurrence_of(X65,X66) )
=> X66 = X67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_18,axiom,
! [X53] :
( activity_occurrence(X53)
=> ? [X54] :
( occurrence_of(X53,X54)
& activity(X54) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_14,axiom,
! [X43,X44] :
( leaf(X43,X44)
<=> ( ~ ? [X46] : min_precedes(X43,X46,X44)
& ( ? [X45] : min_precedes(X45,X43,X44)
| root(X43,X44) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(sos_46,axiom,
! [X104,X105,X106,X107,X108] :
( send_message(X104,X105,X106,X107,X108)
=> ( X104 != tptp2
& X104 != tptp3
& X104 != tptp4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(c_0_20,plain,
! [X115,X116,X117] :
( tptp1(X115,X116,X117)
=> ( root(X117,X116)
& ~ atomic(X116)
& ~ atomic(X115)
& activity(X115) ) ),
inference(fof_simplification,[status(thm)],[sos_48]) ).
fof(c_0_21,negated_conjecture,
~ ~ ? [X128,X129,X130] :
( occurrence_of(X130,X128)
& tptp1(X128,tptp0,X129) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_22,plain,
! [X92,X93] :
( ( ~ atomic(X92)
& occurrence_of(X93,X92) )
=> ? [X94] :
( subactivity_occurrence(X94,X93)
& root(X94,X92) ) ),
inference(fof_simplification,[status(thm)],[sos_30]) ).
fof(c_0_23,plain,
! [X262,X263,X264] :
( ( ~ tptp1(X262,X263,X264)
| root(X264,X263) )
& ( ~ tptp1(X262,X263,X264)
| ~ atomic(X263) )
& ( ~ tptp1(X262,X263,X264)
| ~ atomic(X262) )
& ( ~ tptp1(X262,X263,X264)
| activity(X262) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_24,negated_conjecture,
( occurrence_of(esk23_0,esk21_0)
& tptp1(esk21_0,tptp0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_25,plain,
! [X239,X240] :
( ( atomic(X239)
| ~ occurrence_of(X240,X239)
| subactivity_occurrence(esk14_2(X239,X240),X240) )
& ( atomic(X239)
| ~ occurrence_of(X240,X239)
| root(esk14_2(X239,X240),X239) ) ),
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_22])])])])]) ).
cnf(c_0_26,plain,
( ~ tptp1(X1,X2,X3)
| ~ atomic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
tptp1(esk21_0,tptp0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_28,plain,
! [X167,X168,X170,X171,X172] :
( ( root_occ(X170,X171)
| ~ root(X170,X172)
| ~ subactivity_occurrence(X170,X171)
| ~ occurrence_of(X171,X172) )
& ( ~ root_occ(X167,X168)
| root(X167,esk2_2(X167,X168)) )
& ( ~ root_occ(X167,X168)
| subactivity_occurrence(X167,X168) )
& ( ~ root_occ(X167,X168)
| occurrence_of(X168,esk2_2(X167,X168)) ) ),
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_10])])])])])])]) ).
cnf(c_0_29,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
occurrence_of(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
~ atomic(esk21_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
subactivity_occurrence(esk14_2(esk21_0,esk23_0),esk23_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_34,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk14_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_35,plain,
! [X265,X266,X267,X268] :
( ( ~ occurrence_of(X268,X265)
| ~ tptp1(X265,X266,X267)
| root_occ(esk20_4(X265,X266,X267,X268),X268) )
& ( ~ occurrence_of(X268,X265)
| ~ tptp1(X265,X266,X267)
| occurrence_of(esk20_4(X265,X266,X267,X268),esk17_4(X265,X266,X267,X268)) )
& ( ~ occurrence_of(X268,X265)
| ~ tptp1(X265,X266,X267)
| send_message(esk17_4(X265,X266,X267,X268),esk18_4(X265,X266,X267,X268),esk19_4(X265,X266,X267,X268),X267,X266) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])])]) ).
fof(c_0_36,plain,
! [X138,X139,X140,X141] :
( X138 = X139
| ~ root_occ(X139,X140)
| ~ root_occ(X138,X140)
| ~ occurrence_of(X140,X141) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_37,negated_conjecture,
( ~ occurrence_of(esk23_0,X1)
| ~ root(esk14_2(esk21_0,esk23_0),X1)
| root_occ(esk14_2(esk21_0,esk23_0),esk23_0) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
root(esk14_2(esk21_0,esk23_0),esk21_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_30]),c_0_31]) ).
cnf(c_0_39,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| root_occ(esk20_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk14_2(esk21_0,esk23_0),esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_30]),c_0_38])]) ).
cnf(c_0_42,negated_conjecture,
( ~ occurrence_of(X1,esk21_0)
| root_occ(esk20_4(esk21_0,tptp0,esk22_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_43,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| send_message(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
( ~ occurrence_of(esk23_0,X2)
| ~ root_occ(X1,esk23_0)
| X1 = esk14_2(esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
root_occ(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk23_0),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
fof(c_0_46,plain,
! [X256,X257,X258,X259,X260,X261] :
( min_precedes(X259,X261,X260)
| ~ occurrence_of(X261,X256)
| ~ send_message(X256,X257,X258,X259,X260) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])])]) ).
cnf(c_0_47,negated_conjecture,
( ~ occurrence_of(X1,esk21_0)
| send_message(esk17_4(esk21_0,tptp0,esk22_0,X1),esk18_4(esk21_0,tptp0,esk22_0,X1),esk19_4(esk21_0,tptp0,esk22_0,X1),esk22_0,tptp0) ),
inference(spm,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_48,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| occurrence_of(esk20_4(X1,X2,X3,X4),esk17_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,negated_conjecture,
( ~ occurrence_of(esk23_0,X1)
| esk20_4(esk21_0,tptp0,esk22_0,esk23_0) = esk14_2(esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,plain,
( ~ occurrence_of(X6,X1)
| ~ send_message(X1,X2,X3,X4,X5)
| min_precedes(X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
send_message(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0),
inference(spm,[status(thm)],[c_0_47,c_0_30]) ).
cnf(c_0_52,negated_conjecture,
( ~ occurrence_of(X1,esk21_0)
| occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,X1),esk17_4(esk21_0,tptp0,esk22_0,X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_27]) ).
cnf(c_0_53,negated_conjecture,
esk20_4(esk21_0,tptp0,esk22_0,esk23_0) = esk14_2(esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_49,c_0_30]) ).
fof(c_0_54,plain,
! [X218,X219,X220] :
( ( ~ min_precedes(X219,X220,X218)
| subactivity_occurrence(X220,esk9_3(X218,X219,X220)) )
& ( ~ min_precedes(X219,X220,X218)
| subactivity_occurrence(X219,esk9_3(X218,X219,X220)) )
& ( ~ min_precedes(X219,X220,X218)
| occurrence_of(esk9_3(X218,X219,X220),X218) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])])]) ).
cnf(c_0_55,negated_conjecture,
( ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0))
| min_precedes(esk22_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
occurrence_of(esk14_2(esk21_0,esk23_0),esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_30]),c_0_53]) ).
cnf(c_0_57,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk9_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_58,negated_conjecture,
min_precedes(esk22_0,esk14_2(esk21_0,esk23_0),tptp0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_59,negated_conjecture,
subactivity_occurrence(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_60,plain,
( ~ tptp1(X3,X2,X1)
| root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_61,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk9_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1)
| ~ root(esk22_0,X1)
| root_occ(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) ),
inference(spm,[status(thm)],[c_0_32,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
root(esk22_0,tptp0),
inference(spm,[status(thm)],[c_0_60,c_0_27]) ).
cnf(c_0_64,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),tptp0),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
fof(c_0_65,plain,
! [X243] :
( ( ~ occurrence_of(X243,tptp0)
| next_subocc(esk15_1(X243),esk16_1(X243),tptp0) )
& ( ~ occurrence_of(X243,tptp0)
| leaf_occ(esk16_1(X243),X243) )
& ( ~ occurrence_of(X243,tptp0)
| occurrence_of(esk16_1(X243),tptp2)
| occurrence_of(esk16_1(X243),tptp3) )
& ( ~ occurrence_of(X243,tptp0)
| root_occ(esk15_1(X243),X243) )
& ( ~ occurrence_of(X243,tptp0)
| occurrence_of(esk15_1(X243),tptp4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])]) ).
cnf(c_0_66,negated_conjecture,
root_occ(esk22_0,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_67,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk15_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_68,plain,
! [X179,X180] :
( legal(X179)
| ~ root(X179,X180) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])]) ).
cnf(c_0_69,negated_conjecture,
( ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X2)
| ~ root_occ(X1,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))
| X1 = esk22_0 ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
cnf(c_0_70,negated_conjecture,
root_occ(esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
inference(spm,[status(thm)],[c_0_67,c_0_64]) ).
fof(c_0_71,plain,
! [X173,X174,X176,X177,X178] :
( ( leaf_occ(X176,X177)
| ~ leaf(X176,X178)
| ~ subactivity_occurrence(X176,X177)
| ~ occurrence_of(X177,X178) )
& ( ~ leaf_occ(X173,X174)
| leaf(X173,esk3_2(X173,X174)) )
& ( ~ leaf_occ(X173,X174)
| subactivity_occurrence(X173,X174) )
& ( ~ leaf_occ(X173,X174)
| occurrence_of(X174,esk3_2(X173,X174)) ) ),
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_11])])])])])])]) ).
cnf(c_0_72,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk16_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_73,plain,
! [X199] :
( arboreal(X199)
| ~ legal(X199) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])])]) ).
cnf(c_0_74,plain,
( ~ root(X1,X2)
| legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1)
| esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk22_0 ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_76,plain,
! [X202,X203] :
( ( ~ subactivity_occurrence(X202,X203)
| activity_occurrence(X203) )
& ( ~ subactivity_occurrence(X202,X203)
| activity_occurrence(X202) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])])]) ).
cnf(c_0_77,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,negated_conjecture,
leaf_occ(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
inference(spm,[status(thm)],[c_0_72,c_0_64]) ).
fof(c_0_79,plain,
! [X233,X234,X235,X236] :
( X235 = X236
| min_precedes(X236,X235,X233)
| min_precedes(X235,X236,X233)
| ~ subactivity_occurrence(X236,X234)
| ~ subactivity_occurrence(X235,X234)
| ~ arboreal(X236)
| ~ arboreal(X235)
| ~ occurrence_of(X234,X233) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])])]) ).
cnf(c_0_80,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk9_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_81,plain,
( ~ legal(X1)
| arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_82,negated_conjecture,
legal(esk14_2(esk21_0,esk23_0)),
inference(spm,[status(thm)],[c_0_74,c_0_38]) ).
fof(c_0_83,plain,
! [X154,X155,X156] :
( ( ~ next_subocc(X154,X155,X156)
| arboreal(X155) )
& ( ~ next_subocc(X154,X155,X156)
| arboreal(X154) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])]) ).
cnf(c_0_84,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk15_1(X1),esk16_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_85,negated_conjecture,
esk15_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk22_0,
inference(spm,[status(thm)],[c_0_75,c_0_64]) ).
fof(c_0_86,plain,
! [X146,X147,X148,X149,X150,X151,X152] :
( ( next_subocc(X150,X151,X152)
| ~ min_precedes(X150,X151,X152)
| min_precedes(esk1_3(X150,X151,X152),X151,X152) )
& ( next_subocc(X150,X151,X152)
| ~ min_precedes(X150,X151,X152)
| min_precedes(X150,esk1_3(X150,X151,X152),X152) )
& ( ~ next_subocc(X146,X147,X148)
| ~ min_precedes(X149,X147,X148)
| ~ min_precedes(X146,X149,X148) )
& ( ~ next_subocc(X146,X147,X148)
| min_precedes(X146,X147,X148) ) ),
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_04])])])])])])]) ).
fof(c_0_87,plain,
! [X212,X213,X214] :
( X213 = X214
| ~ occurrence_of(X212,X214)
| ~ occurrence_of(X212,X213) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])]) ).
fof(c_0_88,plain,
! [X200] :
( ( ~ activity_occurrence(X200)
| occurrence_of(X200,esk7_1(X200)) )
& ( ~ activity_occurrence(X200)
| activity(esk7_1(X200)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])])]) ).
cnf(c_0_89,plain,
( ~ subactivity_occurrence(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_90,negated_conjecture,
subactivity_occurrence(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_91,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk16_1(X1),tptp2)
| occurrence_of(esk16_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_92,plain,
( ~ subactivity_occurrence(X4,X1)
| ~ subactivity_occurrence(X3,X1)
| ~ arboreal(X4)
| ~ arboreal(X3)
| ~ occurrence_of(X1,X2)
| X3 = X4
| min_precedes(X4,X3,X2)
| min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_93,negated_conjecture,
subactivity_occurrence(esk14_2(esk21_0,esk23_0),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),
inference(spm,[status(thm)],[c_0_80,c_0_58]) ).
cnf(c_0_94,negated_conjecture,
arboreal(esk14_2(esk21_0,esk23_0)),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_95,plain,
( ~ next_subocc(X2,X1,X3)
| arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_96,negated_conjecture,
next_subocc(esk22_0,esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_64]),c_0_85]) ).
cnf(c_0_97,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_98,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_99,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_100,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_101,negated_conjecture,
activity_occurrence(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_102,negated_conjecture,
( occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3)
| occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp2) ),
inference(spm,[status(thm)],[c_0_91,c_0_64]) ).
cnf(c_0_103,negated_conjecture,
( ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))
| min_precedes(esk14_2(esk21_0,esk23_0),X1,X2)
| min_precedes(X1,esk14_2(esk21_0,esk23_0),X2)
| X1 = esk14_2(esk21_0,esk23_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_104,negated_conjecture,
arboreal(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,negated_conjecture,
( ~ min_precedes(esk22_0,X1,tptp0)
| ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_97,c_0_96]) ).
cnf(c_0_106,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_107,negated_conjecture,
( ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_98,c_0_64]) ).
cnf(c_0_108,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),esk3_2(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_99,c_0_78]) ).
cnf(c_0_109,negated_conjecture,
activity_occurrence(esk14_2(esk21_0,esk23_0)),
inference(spm,[status(thm)],[c_0_89,c_0_33]) ).
cnf(c_0_110,negated_conjecture,
occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))))),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
( ~ occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),X1)
| occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3)
| X1 = tptp2 ),
inference(spm,[status(thm)],[c_0_98,c_0_102]) ).
fof(c_0_112,plain,
! [X183,X184,X186,X187,X188,X189] :
( ( leaf(X187,X188)
| min_precedes(X187,esk5_2(X187,X188),X188)
| ~ min_precedes(X189,X187,X188) )
& ( leaf(X187,X188)
| min_precedes(X187,esk5_2(X187,X188),X188)
| ~ root(X187,X188) )
& ( ~ leaf(X183,X184)
| ~ min_precedes(X183,X186,X184) )
& ( ~ leaf(X183,X184)
| min_precedes(esk4_2(X183,X184),X183,X184)
| root(X183,X184) ) ),
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_14])])])])])])]) ).
cnf(c_0_113,negated_conjecture,
( ~ occurrence_of(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)),X1)
| min_precedes(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk14_2(esk21_0,esk23_0),X1)
| min_precedes(esk14_2(esk21_0,esk23_0),esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),X1)
| esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk14_2(esk21_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_90]),c_0_104])]) ).
cnf(c_0_114,negated_conjecture,
~ min_precedes(esk14_2(esk21_0,esk23_0),esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
inference(spm,[status(thm)],[c_0_105,c_0_58]) ).
cnf(c_0_115,negated_conjecture,
leaf(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk3_2(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_106,c_0_78]) ).
cnf(c_0_116,negated_conjecture,
esk3_2(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = tptp0,
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
occurrence_of(esk14_2(esk21_0,esk23_0),esk7_1(esk14_2(esk21_0,esk23_0))),
inference(spm,[status(thm)],[c_0_100,c_0_109]) ).
fof(c_0_118,plain,
! [X104,X105,X106,X107,X108] :
( send_message(X104,X105,X106,X107,X108)
=> ( X104 != tptp2
& X104 != tptp3
& X104 != tptp4 ) ),
inference(fof_simplification,[status(thm)],[sos_46]) ).
cnf(c_0_119,negated_conjecture,
( ~ occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),X1)
| X1 = esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) ),
inference(spm,[status(thm)],[c_0_98,c_0_110]) ).
cnf(c_0_120,negated_conjecture,
( occurrence_of(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp3)
| esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) = tptp2 ),
inference(spm,[status(thm)],[c_0_111,c_0_110]) ).
cnf(c_0_121,plain,
( ~ leaf(X1,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_122,negated_conjecture,
( min_precedes(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),esk14_2(esk21_0,esk23_0),tptp0)
| esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk14_2(esk21_0,esk23_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_64]),c_0_114]) ).
cnf(c_0_123,negated_conjecture,
leaf(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))),tptp0),
inference(rw,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_124,negated_conjecture,
( ~ occurrence_of(esk14_2(esk21_0,esk23_0),X1)
| X1 = esk7_1(esk14_2(esk21_0,esk23_0)) ),
inference(spm,[status(thm)],[c_0_98,c_0_117]) ).
fof(c_0_125,plain,
! [X251,X252,X253,X254,X255] :
( ( ~ send_message(X251,X252,X253,X254,X255)
| X251 != tptp2 )
& ( ~ send_message(X251,X252,X253,X254,X255)
| X251 != tptp3 )
& ( ~ send_message(X251,X252,X253,X254,X255)
| X251 != tptp4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_118])])])]) ).
cnf(c_0_126,negated_conjecture,
( esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) = tptp3
| esk7_1(esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0)))) = tptp2 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
esk16_1(esk9_3(tptp0,esk22_0,esk14_2(esk21_0,esk23_0))) = esk14_2(esk21_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123])]) ).
cnf(c_0_128,negated_conjecture,
esk7_1(esk14_2(esk21_0,esk23_0)) = esk17_4(esk21_0,tptp0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_124,c_0_56]) ).
cnf(c_0_129,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp2 ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( esk17_4(esk21_0,tptp0,esk22_0,esk23_0) = tptp2
| esk17_4(esk21_0,tptp0,esk22_0,esk23_0) = tptp3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127]),c_0_128]),c_0_127]),c_0_128]) ).
cnf(c_0_131,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_129]) ).
cnf(c_0_132,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp3 ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_133,negated_conjecture,
esk17_4(esk21_0,tptp0,esk22_0,esk23_0) = tptp3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_130]),c_0_131]) ).
cnf(c_0_134,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_132]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_133]),c_0_134]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/5.39 % Computer : n018.cluster.edu
% 0.13/5.39 % Model : x86_64 x86_64
% 0.13/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.39 % Memory : 8046.5625MB
% 0.13/5.39 % OS : Linux 6.8.0-71-generic
% 0.13/5.39 % CPULimit : 300
% 0.13/5.39 % WCLimit : 300
% 0.13/5.39 % DateTime : Mon Sep 21 03:42:34 UTC 2026
% 0.13/5.39 % CPUTime :
% 0.13/5.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/5.47 Running first-order theorem proving
% 0.16/5.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.35/6.68 % Version: 3.5.1
% 8.35/6.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.35/6.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.35/6.68 % Starting new_bool_3 with 300s (1) cores
% 8.35/6.68 % Starting new_bool_1 with 300s (1) cores
% 8.35/6.68 % Starting sh5l with 300s (1) cores
% 8.35/6.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 887489 completed with status 0
% 8.35/6.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.35/6.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.35/6.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.35/6.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.35/6.68 % No SInE strategy applied
% 8.35/6.68 % Search class: FGHSF-FFMM32-SFFFFFNN
% 8.35/6.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.35/6.68 % Starting SubtermCWHack with 136s (1) cores
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 8.35/6.68 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 8.35/6.68 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 8.35/6.68 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 887495 completed with status 0
% 8.35/6.68 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 8.35/6.68 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.35/6.68 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.35/6.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.35/6.68 % No SInE strategy applied
% 8.35/6.68 % Search class: FGHSF-FFMM32-SFFFFFNN
% 8.35/6.68 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.35/6.68 % Starting SubtermCWHack with 136s (1) cores
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.35/6.68 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 8.35/6.68 % Preprocessing time : 0.004 s
% 8.35/6.68 % Presaturation interreduction done
% 8.35/6.68
% 8.35/6.68 % Proof found!
% 8.35/6.68 % SZS status Theorem
% 8.35/6.68 % SZS output start CNFRefutation
% See solution above
% 8.35/6.69 % Parsed axioms : 52
% 8.35/6.69 % Removed by relevancy pruning/SinE : 0
% 8.35/6.69 % Initial clauses : 98
% 8.35/6.69 % Removed in clause preprocessing : 0
% 8.35/6.69 % Initial clauses in saturation : 98
% 8.35/6.69 % Processed clauses : 4360
% 8.35/6.69 % ...of these trivial : 97
% 8.35/6.69 % ...subsumed : 738
% 8.35/6.69 % ...remaining for further processing : 3525
% 8.35/6.69 % Other redundant clauses eliminated : 3
% 8.35/6.69 % Clauses deleted for lack of memory : 0
% 8.35/6.69 % Backward-subsumed : 244
% 8.35/6.69 % Backward-rewritten : 935
% 8.35/6.69 % Generated clauses : 10838
% 8.35/6.69 % ...of the previous two non-redundant : 10170
% 8.35/6.69 % ...aggressively subsumed : 0
% 8.35/6.69 % Contextual simplify-reflections : 61
% 8.35/6.69 % Paramodulations : 10831
% 8.35/6.69 % Factorizations : 3
% 8.35/6.69 % NegExts : 0
% 8.35/6.69 % Equation resolutions : 3
% 8.35/6.69 % Disequality decompositions : 0
% 8.35/6.69 % Total rewrite steps : 3396
% 8.35/6.69 % ...of those cached : 3067
% 8.35/6.69 % Propositional unsat checks : 0
% 8.35/6.69 % Propositional check models : 0
% 8.35/6.69 % Propositional check unsatisfiable : 0
% 8.35/6.69 % Propositional clauses : 0
% 8.35/6.69 % Propositional clauses after purity: 0
% 8.35/6.69 % Propositional unsat core size : 0
% 8.35/6.69 % Propositional preprocessing time : 0.000
% 8.35/6.69 % Propositional encoding time : 0.000
% 8.35/6.69 % Propositional solver time : 0.000
% 8.35/6.69 % Success case prop preproc time : 0.000
% 8.35/6.69 % Success case prop encoding time : 0.000
% 8.35/6.69 % Success case prop solver time : 0.000
% 8.35/6.69 % Current number of processed clauses : 2244
% 8.35/6.69 % Positive orientable unit clauses : 501
% 8.35/6.69 % Positive unorientable unit clauses: 0
% 8.35/6.69 % Negative unit clauses : 133
% 8.35/6.69 % Non-unit-clauses : 1610
% 8.35/6.69 % Current number of unprocessed clauses: 5331
% 8.35/6.69 % ...number of literals in the above : 13735
% 8.35/6.69 % Current number of archived formulas : 0
% 8.35/6.69 % Current number of archived clauses : 1278
% 8.35/6.69 % Clause-clause subsumption calls (NU) : 428475
% 8.35/6.69 % Rec. Clause-clause subsumption calls : 336739
% 8.35/6.69 % Non-unit clause-clause subsumptions : 608
% 8.35/6.69 % Unit Clause-clause subsumption calls : 31930
% 8.35/6.69 % Rewrite failures with RHS unbound : 0
% 8.35/6.69 % BW rewrite match attempts : 1928
% 8.35/6.69 % BW rewrite match successes : 107
% 8.35/6.69 % Condensation attempts : 0
% 8.35/6.69 % Condensation successes : 0
% 8.35/6.69 % Termbank termtop insertions : 270349
% 8.35/6.69 % Search garbage collected termcells : 1360
% 8.35/6.69
% 8.35/6.69 % -------------------------------------------------
% 8.35/6.69 % User time : 1.087 s
% 8.35/6.69 % System time : 0.042 s
% 8.35/6.69 % Total time : 1.130 s
% 8.35/6.69 % Maximum resident set size: 3460 pages
% 8.35/6.69
% 8.35/6.69 % -------------------------------------------------
% 8.35/6.69 % User time : 5.359 s
% 8.35/6.69 % System time : 0.152 s
% 8.35/6.69 % Total time : 5.511 s
% 8.35/6.69 % Maximum resident set size: 4608 pages
% 8.35/6.69 % E exiting
%------------------------------------------------------------------------------