%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO009+4 : 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 : n020.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 01:59:32 PM UTC 2026
% Result : Theorem 0.23s 5.61s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 79 ( 25 unt; 0 def)
% Number of atoms : 263 ( 13 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 303 ( 119 ~; 111 |; 57 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 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 : 131 ( 2 sgn 71 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( leaf_occ(X108,X106)
& min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104,X105] :
( leaf_occ(X105,X102)
& next_subocc(X104,X105,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& next_subocc(X103,X104,tptp0)
& occurrence_of(X104,tptp4)
& root_occ(X103,X102)
& occurrence_of(X103,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X31)
& occurrence_of(X29,X30) )
=> X30 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( leaf(X56,X58)
& subactivity_occurrence(X56,X57)
& occurrence_of(X57,X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_02,axiom,
! [X9,X10,X11,X12] :
( ( ~ min_precedes(X11,X12,X9)
& arboreal(X11)
& leaf_occ(X12,X10)
& subactivity_occurrence(X11,X10)
& occurrence_of(X10,X9) )
=> X12 = X11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( ~ ? [X82] :
( min_precedes(X82,X80,X81)
& min_precedes(X79,X82,X81) )
& min_precedes(X79,X80,X81) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_07,axiom,
! [X26,X27] :
( ( ~ atomic(X27)
& leaf(X26,X27) )
=> ? [X28] :
( leaf_occ(X26,X28)
& occurrence_of(X28,X27) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( root(X59,X61)
& subactivity_occurrence(X59,X60)
& occurrence_of(X60,X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity_occurrence(X14)
& activity(X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( leaf_occ(X33,X32)
& occurrence_of(X32,X34) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(sos_38,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( occurrence_of(X42,X43)
& activity(X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(c_0_14,negated_conjecture,
~ ! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( leaf_occ(X108,X106)
& min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp1)
| occurrence_of(X108,tptp2) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_15,plain,
! [X227] :
( ( ~ occurrence_of(X227,tptp0)
| leaf_occ(esk15_1(X227),X227) )
& ( ~ occurrence_of(X227,tptp0)
| next_subocc(esk14_1(X227),esk15_1(X227),tptp0) )
& ( ~ occurrence_of(X227,tptp0)
| occurrence_of(esk15_1(X227),tptp1)
| occurrence_of(esk15_1(X227),tptp2) )
& ( ~ occurrence_of(X227,tptp0)
| next_subocc(esk13_1(X227),esk14_1(X227),tptp0) )
& ( ~ occurrence_of(X227,tptp0)
| occurrence_of(esk14_1(X227),tptp4) )
& ( ~ occurrence_of(X227,tptp0)
| root_occ(esk13_1(X227),X227) )
& ( ~ occurrence_of(X227,tptp0)
| occurrence_of(esk13_1(X227),tptp3) ) ),
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])])])])]) ).
fof(c_0_16,negated_conjecture,
! [X232,X233] :
( ( ~ leaf_occ(X233,esk16_0)
| ~ min_precedes(X232,X233,tptp0)
| ~ root_occ(X232,esk16_0)
| ~ occurrence_of(X232,tptp3)
| ~ occurrence_of(X233,tptp1) )
& ( ~ leaf_occ(X233,esk16_0)
| ~ min_precedes(X232,X233,tptp0)
| ~ root_occ(X232,esk16_0)
| ~ occurrence_of(X232,tptp3)
| ~ occurrence_of(X233,tptp2) )
& occurrence_of(esk16_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_14])])])])])]) ).
fof(c_0_17,plain,
! [X137,X138,X139] :
( X138 = X139
| ~ occurrence_of(X137,X139)
| ~ occurrence_of(X137,X138) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
fof(c_0_18,plain,
! [X171,X172,X174,X175,X176] :
( ( leaf_occ(X174,X175)
| ~ leaf(X174,X176)
| ~ subactivity_occurrence(X174,X175)
| ~ occurrence_of(X175,X176) )
& ( ~ leaf_occ(X171,X172)
| leaf(X171,esk9_2(X171,X172)) )
& ( ~ leaf_occ(X171,X172)
| subactivity_occurrence(X171,X172) )
& ( ~ leaf_occ(X171,X172)
| occurrence_of(X172,esk9_2(X171,X172)) ) ),
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_18])])])])])])]) ).
cnf(c_0_19,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk15_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_21,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
leaf_occ(esk15_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_24,plain,
! [X9,X10,X11,X12] :
( ( ~ min_precedes(X11,X12,X9)
& arboreal(X11)
& leaf_occ(X12,X10)
& subactivity_occurrence(X11,X10)
& occurrence_of(X10,X9) )
=> X12 = X11 ),
inference(fof_simplification,[status(thm)],[sos_02]) ).
fof(c_0_25,plain,
! [X200,X201,X202,X203,X204,X205,X206] :
( ( next_subocc(X204,X205,X206)
| ~ min_precedes(X204,X205,X206)
| min_precedes(esk12_3(X204,X205,X206),X205,X206) )
& ( next_subocc(X204,X205,X206)
| ~ min_precedes(X204,X205,X206)
| min_precedes(X204,esk12_3(X204,X205,X206),X206) )
& ( ~ next_subocc(X200,X201,X202)
| ~ min_precedes(X203,X201,X202)
| ~ min_precedes(X200,X203,X202) )
& ( ~ next_subocc(X200,X201,X202)
| min_precedes(X200,X201,X202) ) ),
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_26])])])])])])]) ).
cnf(c_0_26,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_27,plain,
! [X26,X27] :
( ( ~ atomic(X27)
& leaf(X26,X27) )
=> ? [X28] :
( leaf_occ(X26,X28)
& occurrence_of(X28,X27) ) ),
inference(fof_simplification,[status(thm)],[sos_07]) ).
cnf(c_0_28,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_29,negated_conjecture,
occurrence_of(esk16_0,esk9_2(esk15_1(esk16_0),esk16_0)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_30,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_31,plain,
! [X117,X118,X119,X120] :
( X120 = X119
| min_precedes(X119,X120,X117)
| ~ arboreal(X119)
| ~ leaf_occ(X120,X118)
| ~ subactivity_occurrence(X119,X118)
| ~ occurrence_of(X118,X117) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_32,plain,
! [X177,X178,X180,X181,X182] :
( ( root_occ(X180,X181)
| ~ root(X180,X182)
| ~ subactivity_occurrence(X180,X181)
| ~ occurrence_of(X181,X182) )
& ( ~ root_occ(X177,X178)
| root(X177,esk10_2(X177,X178)) )
& ( ~ root_occ(X177,X178)
| subactivity_occurrence(X177,X178) )
& ( ~ root_occ(X177,X178)
| occurrence_of(X178,esk10_2(X177,X178)) ) ),
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_19])])])])])])]) ).
cnf(c_0_33,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk13_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_34,plain,
! [X167,X168] :
( ( ~ occurrence_of(X167,X168)
| arboreal(X167)
| ~ atomic(X168) )
& ( ~ occurrence_of(X167,X168)
| atomic(X168)
| ~ arboreal(X167) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])])]) ).
cnf(c_0_35,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk13_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_36,plain,
! [X121,X122] :
( ( ~ occurrence_of(X122,X121)
| activity_occurrence(X122) )
& ( ~ occurrence_of(X122,X121)
| activity(X121) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])])]) ).
cnf(c_0_37,negated_conjecture,
( ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk16_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk15_1(X1),tptp1)
| occurrence_of(esk15_1(X1),tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,negated_conjecture,
( ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk16_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_40,plain,
! [X140,X141,X142,X143] :
( ~ min_precedes(X141,X143,X142)
| ~ leaf_occ(X141,X140)
| ~ occurrence_of(X140,X142) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])]) ).
cnf(c_0_41,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
fof(c_0_43,plain,
! [X134,X135] :
( ( atomic(X135)
| ~ leaf(X134,X135)
| leaf_occ(X134,esk4_2(X134,X135)) )
& ( atomic(X135)
| ~ leaf(X134,X135)
| occurrence_of(esk4_2(X134,X135),X135) ) ),
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_27])])])])]) ).
cnf(c_0_44,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_45,negated_conjecture,
esk9_2(esk15_1(esk16_0),esk16_0) = tptp0,
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_46,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_30]) ).
cnf(c_0_47,plain,
( ~ arboreal(X3)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| X4 = X3
| min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_48,plain,
( ~ root_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_49,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_50,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_51,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(spm,[status(thm)],[c_0_35,c_0_20]) ).
cnf(c_0_52,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_38]) ).
fof(c_0_53,plain,
! [X150] :
( ( ~ activity_occurrence(X150)
| occurrence_of(X150,esk5_1(X150)) )
& ( ~ activity_occurrence(X150)
| activity(esk5_1(X150)) ) ),
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_54,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,negated_conjecture,
( ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(esk15_1(esk16_0),tptp1)
| ~ root_occ(X1,esk16_0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
cnf(c_0_56,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_57,negated_conjecture,
( ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(esk15_1(esk16_0),tptp2)
| ~ root_occ(X1,esk16_0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_58,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_59,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_60,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| occurrence_of(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_61,negated_conjecture,
leaf(esk15_1(esk16_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_23]),c_0_45]) ).
cnf(c_0_62,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_63,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ subactivity_occurrence(X1,esk16_0)
| ~ arboreal(X1)
| min_precedes(X1,esk15_1(esk16_0),X2)
| X1 = esk15_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_23]) ).
cnf(c_0_64,negated_conjecture,
subactivity_occurrence(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_65,negated_conjecture,
arboreal(esk13_1(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_66,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_67,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_68,negated_conjecture,
( ~ occurrence_of(X1,tptp3)
| ~ root_occ(X1,esk16_0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_69,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(esk13_1(esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),X1)
| esk13_1(esk16_0) = esk15_1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_72,negated_conjecture,
esk5_1(esk16_0) = tptp0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_66]),c_0_67])]) ).
cnf(c_0_73,negated_conjecture,
~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_49]),c_0_51])]) ).
cnf(c_0_74,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| leaf_occ(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_75,negated_conjecture,
~ leaf_occ(esk13_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
esk13_1(esk16_0) = esk15_1(esk16_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_66]),c_0_72]),c_0_67])]),c_0_73]) ).
cnf(c_0_77,negated_conjecture,
leaf_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_61]),c_0_62]) ).
cnf(c_0_78,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_76]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PRO009+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.46 % Computer : n020.cluster.edu
% 0.18/5.46 % Model : x86_64 x86_64
% 0.18/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46 % Memory : 8046.5625MB
% 0.18/5.46 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Mon Sep 21 03:43:08 UTC 2026
% 0.18/5.46 % CPUTime :
% 0.18/5.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/5.53 Running first-order theorem proving
% 0.23/5.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/5.61 % Version: 3.5.1
% 0.23/5.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/5.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/5.61 % Starting new_bool_3 with 300s (1) cores
% 0.23/5.61 % Starting new_bool_1 with 300s (1) cores
% 0.23/5.61 % Starting sh5l with 300s (1) cores
% 0.23/5.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1920616 completed with status 0
% 0.23/5.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/5.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/5.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/5.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/5.61 % No SInE strategy applied
% 0.23/5.61 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.23/5.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/5.61 % Starting SubtermCWHack with 136s (1) cores
% 0.23/5.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/5.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.23/5.61 % Starting new_bool_3 with 136s (1) cores
% 0.23/5.61 % Starting new_bool_1 with 136s (1) cores
% 0.23/5.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1920623 completed with status 0
% 0.23/5.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.23/5.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.23/5.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/5.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.23/5.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/5.61 % No SInE strategy applied
% 0.23/5.61 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.23/5.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/5.61 % Starting SubtermCWHack with 136s (1) cores
% 0.23/5.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.23/5.61 % Preprocessing time : 0.003 s
% 0.23/5.61 % Presaturation interreduction done
% 0.23/5.61
% 0.23/5.61 % Proof found!
% 0.23/5.61 % SZS status Theorem
% 0.23/5.61 % SZS output start CNFRefutation
% See solution above
% 0.23/5.61 % Parsed axioms : 46
% 0.23/5.61 % Removed by relevancy pruning/SinE : 0
% 0.23/5.61 % Initial clauses : 82
% 0.23/5.61 % Removed in clause preprocessing : 0
% 0.23/5.61 % Initial clauses in saturation : 82
% 0.23/5.61 % Processed clauses : 400
% 0.23/5.61 % ...of these trivial : 5
% 0.23/5.61 % ...subsumed : 36
% 0.23/5.61 % ...remaining for further processing : 359
% 0.23/5.61 % Other redundant clauses eliminated : 0
% 0.23/5.61 % Clauses deleted for lack of memory : 0
% 0.23/5.61 % Backward-subsumed : 6
% 0.23/5.61 % Backward-rewritten : 62
% 0.23/5.61 % Generated clauses : 509
% 0.23/5.61 % ...of the previous two non-redundant : 381
% 0.23/5.61 % ...aggressively subsumed : 0
% 0.23/5.61 % Contextual simplify-reflections : 2
% 0.23/5.61 % Paramodulations : 509
% 0.23/5.61 % Factorizations : 0
% 0.23/5.61 % NegExts : 0
% 0.23/5.61 % Equation resolutions : 0
% 0.23/5.61 % Disequality decompositions : 0
% 0.23/5.61 % Total rewrite steps : 273
% 0.23/5.61 % ...of those cached : 214
% 0.23/5.61 % Propositional unsat checks : 0
% 0.23/5.61 % Propositional check models : 0
% 0.23/5.61 % Propositional check unsatisfiable : 0
% 0.23/5.61 % Propositional clauses : 0
% 0.23/5.61 % Propositional clauses after purity: 0
% 0.23/5.61 % Propositional unsat core size : 0
% 0.23/5.61 % Propositional preprocessing time : 0.000
% 0.23/5.61 % Propositional encoding time : 0.000
% 0.23/5.61 % Propositional solver time : 0.000
% 0.23/5.61 % Success case prop preproc time : 0.000
% 0.23/5.61 % Success case prop encoding time : 0.000
% 0.23/5.61 % Success case prop solver time : 0.000
% 0.23/5.61 % Current number of processed clauses : 209
% 0.23/5.61 % Positive orientable unit clauses : 51
% 0.23/5.61 % Positive unorientable unit clauses: 0
% 0.23/5.61 % Negative unit clauses : 51
% 0.23/5.61 % Non-unit-clauses : 107
% 0.23/5.61 % Current number of unprocessed clauses: 122
% 0.23/5.61 % ...number of literals in the above : 244
% 0.23/5.61 % Current number of archived formulas : 0
% 0.23/5.61 % Current number of archived clauses : 150
% 0.23/5.61 % Clause-clause subsumption calls (NU) : 5933
% 0.23/5.61 % Rec. Clause-clause subsumption calls : 3651
% 0.23/5.61 % Non-unit clause-clause subsumptions : 22
% 0.23/5.61 % Unit Clause-clause subsumption calls : 727
% 0.23/5.61 % Rewrite failures with RHS unbound : 0
% 0.23/5.61 % BW rewrite match attempts : 8
% 0.23/5.61 % BW rewrite match successes : 7
% 0.23/5.61 % Condensation attempts : 0
% 0.23/5.61 % Condensation successes : 0
% 0.23/5.61 % Termbank termtop insertions : 13589
% 0.23/5.61 % Search garbage collected termcells : 1344
% 0.23/5.61
% 0.23/5.61 % -------------------------------------------------
% 0.23/5.61 % User time : 0.041 s
% 0.23/5.61 % System time : 0.011 s
% 0.23/5.61 % Total time : 0.052 s
% 0.23/5.61 % Maximum resident set size: 3996 pages
% 0.23/5.61
% 0.23/5.61 % -------------------------------------------------
% 0.23/5.61 % User time : 0.188 s
% 0.23/5.61 % System time : 0.042 s
% 0.23/5.61 % Total time : 0.230 s
% 0.23/5.61 % Maximum resident set size: 4864 pages
% 0.23/5.61 % E exiting
%------------------------------------------------------------------------------