%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO004+4 : 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 : n017.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 01:59:30 PM UTC 2026
% Result : Theorem 0.15s 0.55s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 127 ( 48 unt; 0 def)
% Number of atoms : 364 ( 26 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 390 ( 153 ~; 147 |; 67 &)
% ( 4 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 199 ( 7 sgn 107 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos,axiom,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(goals,conjecture,
~ ? [X112] : occurrence_of(X112,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X31)
& occurrence_of(X29,X30) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity_occurrence(X14)
& activity(X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
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/sandbox2/benchmark/theBenchmark.p',sos_19) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( occurrence_of(X42,X43)
& activity(X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( root_occ(X92,X93)
& root_occ(X91,X93)
& occurrence_of(X93,X94) )
=> X91 = X92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104] :
( next_subocc(X103,X104,tptp0)
& leaf_occ(X104,X102)
& occurrence_of(X104,tptp3)
& root_occ(X103,X102)
& occurrence_of(X103,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
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/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_47,axiom,
! [X109,X110] :
( ( ~ leaf_occ(X109,X110)
& arboreal(X109)
& subactivity_occurrence(X109,X110)
& occurrence_of(X110,tptp0) )
=> ? [X111] :
( next_subocc(X109,X111,tptp0)
& occurrence_of(X111,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( leaf_occ(X33,X32)
& occurrence_of(X32,X34) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(sos_35,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_15,axiom,
! [X48,X49] :
( leaf(X48,X49)
<=> ( ~ ? [X51] : min_precedes(X48,X51,X49)
& ( ? [X50] : min_precedes(X50,X48,X49)
| root(X48,X49) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_45,axiom,
! [X105,X106] :
( ( ~ leaf_occ(X105,X106)
& arboreal(X105)
& subactivity_occurrence(X105,X106)
& occurrence_of(X106,tptp0) )
=> root_occ(X105,X106) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_45) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( subactivity_occurrence(X24,X25)
& subactivity_occurrence(X23,X25)
& occurrence_of(X25,X22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(sos_10,axiom,
! [X36,X37,X38] :
( ( root_occ(X37,X36)
& occurrence_of(X36,X38) )
=> ~ ? [X39] : min_precedes(X39,X37,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(sos_07,axiom,
! [X26,X27] :
( ( ~ atomic(X27)
& leaf(X26,X27) )
=> ? [X28] :
( leaf_occ(X26,X28)
& occurrence_of(X28,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_28,axiom,
! [X87,X88,X89,X90] :
( ( leaf_occ(X88,X89)
& leaf_occ(X87,X89)
& ~ atomic(X90)
& occurrence_of(X89,X90) )
=> X87 = X88 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(sos_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_23,negated_conjecture,
~ ~ ? [X112] : occurrence_of(X112,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_24,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_25,plain,
! [X113,X114] :
( ( atomic(X113)
| ~ occurrence_of(X114,X113)
| subactivity_occurrence(esk1_2(X113,X114),X114) )
& ( atomic(X113)
| ~ occurrence_of(X114,X113)
| root(esk1_2(X113,X114),X113) ) ),
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])])])])]) ).
fof(c_0_26,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_27,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
fof(c_0_28,plain,
! [X141,X142,X143] :
( X142 = X143
| ~ occurrence_of(X141,X143)
| ~ occurrence_of(X141,X142) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
fof(c_0_29,plain,
! [X125,X126] :
( ( ~ occurrence_of(X126,X125)
| activity_occurrence(X126) )
& ( ~ occurrence_of(X126,X125)
| activity(X125) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])])]) ).
fof(c_0_30,plain,
! [X181,X182,X184,X185,X186] :
( ( root_occ(X184,X185)
| ~ root(X184,X186)
| ~ subactivity_occurrence(X184,X185)
| ~ occurrence_of(X185,X186) )
& ( ~ root_occ(X181,X182)
| root(X181,esk10_2(X181,X182)) )
& ( ~ root_occ(X181,X182)
| subactivity_occurrence(X181,X182) )
& ( ~ root_occ(X181,X182)
| occurrence_of(X182,esk10_2(X181,X182)) ) ),
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_31,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_35,plain,
! [X154] :
( ( ~ activity_occurrence(X154)
| occurrence_of(X154,esk5_1(X154)) )
& ( ~ activity_occurrence(X154)
| activity(esk5_1(X154)) ) ),
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_36,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_40,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_42,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_43,plain,
! [X220,X221,X222,X223] :
( X220 = X221
| ~ root_occ(X221,X222)
| ~ root_occ(X220,X222)
| ~ occurrence_of(X222,X223) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_44,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| ~ root(esk1_2(tptp0,esk16_0),X1)
| root_occ(esk1_2(tptp0,esk16_0),esk16_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
esk5_1(esk16_0) = tptp0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_46,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_33]) ).
fof(c_0_47,plain,
! [X231] :
( ( ~ occurrence_of(X231,tptp0)
| next_subocc(esk13_1(X231),esk14_1(X231),tptp0) )
& ( ~ occurrence_of(X231,tptp0)
| leaf_occ(esk14_1(X231),X231) )
& ( ~ occurrence_of(X231,tptp0)
| occurrence_of(esk14_1(X231),tptp3) )
& ( ~ occurrence_of(X231,tptp0)
| root_occ(esk13_1(X231),X231) )
& ( ~ occurrence_of(X231,tptp0)
| occurrence_of(esk13_1(X231),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_48,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
root_occ(esk1_2(tptp0,esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_40]),c_0_45]),c_0_46]),c_0_41])]) ).
cnf(c_0_50,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk13_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_51,plain,
! [X204,X205,X206,X207,X208,X209,X210] :
( ( next_subocc(X208,X209,X210)
| ~ min_precedes(X208,X209,X210)
| min_precedes(esk12_3(X208,X209,X210),X209,X210) )
& ( next_subocc(X208,X209,X210)
| ~ min_precedes(X208,X209,X210)
| min_precedes(X208,esk12_3(X208,X209,X210),X210) )
& ( ~ next_subocc(X204,X205,X206)
| ~ min_precedes(X207,X205,X206)
| ~ min_precedes(X204,X207,X206) )
& ( ~ next_subocc(X204,X205,X206)
| min_precedes(X204,X205,X206) ) ),
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_52,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
fof(c_0_53,plain,
! [X109,X110] :
( ( ~ leaf_occ(X109,X110)
& arboreal(X109)
& subactivity_occurrence(X109,X110)
& occurrence_of(X110,tptp0) )
=> ? [X111] :
( next_subocc(X109,X111,tptp0)
& occurrence_of(X111,tptp1) ) ),
inference(fof_simplification,[status(thm)],[sos_47]) ).
cnf(c_0_54,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ root_occ(X1,esk16_0)
| X1 = esk1_2(tptp0,esk16_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
fof(c_0_56,plain,
! [X144,X145,X146,X147] :
( ~ min_precedes(X145,X147,X146)
| ~ leaf_occ(X145,X144)
| ~ occurrence_of(X144,X146) ),
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_57,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
fof(c_0_59,plain,
! [X238,X239] :
( ( leaf_occ(X238,X239)
| ~ arboreal(X238)
| ~ subactivity_occurrence(X238,X239)
| ~ occurrence_of(X239,tptp0)
| next_subocc(X238,esk15_1(X238),tptp0) )
& ( leaf_occ(X238,X239)
| ~ arboreal(X238)
| ~ subactivity_occurrence(X238,X239)
| ~ occurrence_of(X239,tptp0)
| occurrence_of(esk15_1(X238),tptp1) ) ),
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)],[c_0_53])])])])])])]) ).
cnf(c_0_60,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| esk1_2(tptp0,esk16_0) = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_61,plain,
! [X171,X172] :
( ( ~ occurrence_of(X171,X172)
| arboreal(X171)
| ~ atomic(X172) )
& ( ~ occurrence_of(X171,X172)
| atomic(X172)
| ~ arboreal(X171) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])])]) ).
cnf(c_0_62,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk13_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_63,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,plain,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| leaf_occ(X1,X2)
| next_subocc(X1,esk15_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
esk1_2(tptp0,esk16_0) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_40]),c_0_41])]) ).
cnf(c_0_67,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp4),
inference(spm,[status(thm)],[c_0_62,c_0_32]) ).
cnf(c_0_69,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_70,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(esk13_1(esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( ~ subactivity_occurrence(X1,esk16_0)
| ~ arboreal(X1)
| leaf_occ(X1,esk16_0)
| next_subocc(X1,esk15_1(X1),tptp0) ),
inference(spm,[status(thm)],[c_0_65,c_0_32]) ).
cnf(c_0_72,negated_conjecture,
subactivity_occurrence(esk13_1(esk16_0),esk16_0),
inference(rw,[status(thm)],[c_0_38,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
arboreal(esk13_1(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_74,negated_conjecture,
~ leaf_occ(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_70,c_0_32]) ).
fof(c_0_75,plain,
! [X163,X164,X166,X167,X168,X169] :
( ( leaf(X167,X168)
| min_precedes(X167,esk8_2(X167,X168),X168)
| ~ min_precedes(X169,X167,X168) )
& ( leaf(X167,X168)
| min_precedes(X167,esk8_2(X167,X168),X168)
| ~ root(X167,X168) )
& ( ~ leaf(X163,X164)
| ~ min_precedes(X163,X166,X164) )
& ( ~ leaf(X163,X164)
| min_precedes(esk7_2(X163,X164),X163,X164)
| root(X163,X164) ) ),
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_15])])])])])])]) ).
cnf(c_0_76,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]),c_0_74]) ).
fof(c_0_77,plain,
! [X105,X106] :
( ( ~ leaf_occ(X105,X106)
& arboreal(X105)
& subactivity_occurrence(X105,X106)
& occurrence_of(X106,tptp0) )
=> root_occ(X105,X106) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
fof(c_0_78,plain,
! [X134,X135,X136] :
( ( ~ min_precedes(X135,X136,X134)
| subactivity_occurrence(X136,esk3_3(X134,X135,X136)) )
& ( ~ min_precedes(X135,X136,X134)
| subactivity_occurrence(X135,esk3_3(X134,X135,X136)) )
& ( ~ min_precedes(X135,X136,X134)
| occurrence_of(esk3_3(X134,X135,X136),X134) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])])]) ).
cnf(c_0_79,plain,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| leaf_occ(X1,X2)
| occurrence_of(esk15_1(X1),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
fof(c_0_80,plain,
! [X148,X149,X150,X151] :
( ~ min_precedes(X151,X149,X150)
| ~ root_occ(X149,X148)
| ~ occurrence_of(X148,X150) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])]) ).
cnf(c_0_81,plain,
( ~ min_precedes(X1,X2,X3)
| leaf(X2,X3)
| min_precedes(X2,esk8_2(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_82,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)),tptp0),
inference(spm,[status(thm)],[c_0_57,c_0_76]) ).
fof(c_0_83,plain,
! [X234,X235] :
( root_occ(X234,X235)
| leaf_occ(X234,X235)
| ~ arboreal(X234)
| ~ subactivity_occurrence(X234,X235)
| ~ occurrence_of(X235,tptp0) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])]) ).
cnf(c_0_84,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk3_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_85,negated_conjecture,
( ~ subactivity_occurrence(X1,esk16_0)
| ~ arboreal(X1)
| occurrence_of(esk15_1(X1),tptp1)
| leaf_occ(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_79,c_0_32]) ).
cnf(c_0_86,plain,
( ~ min_precedes(X4,X3,X2)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( min_precedes(esk15_1(esk13_1(esk16_0)),esk8_2(esk15_1(esk13_1(esk16_0)),tptp0),tptp0)
| leaf(esk15_1(esk13_1(esk16_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( ~ arboreal(X2)
| ~ subactivity_occurrence(X2,X1)
| ~ occurrence_of(X1,tptp0)
| root_occ(X2,X1)
| leaf_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,negated_conjecture,
occurrence_of(esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))),tptp0),
inference(spm,[status(thm)],[c_0_84,c_0_82]) ).
cnf(c_0_90,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk3_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_91,negated_conjecture,
occurrence_of(esk15_1(esk13_1(esk16_0)),tptp1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_72]),c_0_73])]),c_0_74]) ).
cnf(c_0_92,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_93,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ root_occ(esk15_1(esk13_1(esk16_0)),X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_82]) ).
fof(c_0_94,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_95,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(esk15_1(esk13_1(esk16_0)),X1)
| leaf(esk15_1(esk13_1(esk16_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_87]) ).
cnf(c_0_96,negated_conjecture,
( ~ subactivity_occurrence(X1,esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))
| ~ arboreal(X1)
| root_occ(X1,esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))
| leaf_occ(X1,esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,negated_conjecture,
subactivity_occurrence(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
inference(spm,[status(thm)],[c_0_90,c_0_82]) ).
cnf(c_0_98,negated_conjecture,
arboreal(esk15_1(esk13_1(esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_91]),c_0_92])]) ).
cnf(c_0_99,negated_conjecture,
~ root_occ(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
inference(spm,[status(thm)],[c_0_93,c_0_89]) ).
fof(c_0_100,plain,
! [X87,X88,X89,X90] :
( ( leaf_occ(X88,X89)
& leaf_occ(X87,X89)
& ~ atomic(X90)
& occurrence_of(X89,X90) )
=> X87 = X88 ),
inference(fof_simplification,[status(thm)],[sos_28]) ).
fof(c_0_101,plain,
! [X138,X139] :
( ( atomic(X139)
| ~ leaf(X138,X139)
| leaf_occ(X138,esk4_2(X138,X139)) )
& ( atomic(X139)
| ~ leaf(X138,X139)
| occurrence_of(esk4_2(X138,X139),X139) ) ),
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_94])])])])]) ).
cnf(c_0_102,negated_conjecture,
( ~ leaf_occ(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0))))
| leaf(esk15_1(esk13_1(esk16_0)),tptp0) ),
inference(spm,[status(thm)],[c_0_95,c_0_89]) ).
cnf(c_0_103,negated_conjecture,
leaf_occ(esk15_1(esk13_1(esk16_0)),esk3_3(tptp0,esk13_1(esk16_0),esk15_1(esk13_1(esk16_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]),c_0_99]) ).
fof(c_0_104,plain,
! [X216,X217,X218,X219] :
( X216 = X217
| ~ leaf_occ(X217,X218)
| ~ leaf_occ(X216,X218)
| atomic(X219)
| ~ occurrence_of(X218,X219) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_100])])]) ).
cnf(c_0_105,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| leaf_occ(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_106,negated_conjecture,
leaf(esk15_1(esk13_1(esk16_0)),tptp0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_107,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| occurrence_of(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_108,plain,
( ~ leaf_occ(X4,X1)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_109,negated_conjecture,
leaf_occ(esk15_1(esk13_1(esk16_0)),esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_33]) ).
cnf(c_0_110,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk14_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_111,negated_conjecture,
occurrence_of(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_33]) ).
cnf(c_0_112,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk14_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_113,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0),X2)
| ~ leaf_occ(X1,esk4_2(esk15_1(esk13_1(esk16_0)),tptp0))
| atomic(X2)
| X1 = esk15_1(esk13_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
leaf_occ(esk14_1(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)),esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_115,plain,
( ~ occurrence_of(X2,X1)
| X1 = esk5_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_40]),c_0_36]) ).
fof(c_0_116,plain,
tptp1 != tptp3,
inference(fof_simplification,[status(thm)],[sos_42]) ).
cnf(c_0_117,negated_conjecture,
occurrence_of(esk14_1(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)),tptp3),
inference(spm,[status(thm)],[c_0_112,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0),X1)
| atomic(X1)
| esk14_1(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)) = esk15_1(esk13_1(esk16_0)) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
esk5_1(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)) = tptp0,
inference(spm,[status(thm)],[c_0_115,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
activity_occurrence(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)),
inference(spm,[status(thm)],[c_0_36,c_0_111]) ).
fof(c_0_121,plain,
tptp1 != tptp3,
inference(fof_nnf,[status(thm)],[c_0_116]) ).
cnf(c_0_122,negated_conjecture,
esk5_1(esk14_1(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0))) = tptp3,
inference(spm,[status(thm)],[c_0_115,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
esk14_1(esk4_2(esk15_1(esk13_1(esk16_0)),tptp0)) = esk15_1(esk13_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_118,c_0_40]),c_0_119]),c_0_120])]),c_0_33]) ).
cnf(c_0_124,negated_conjecture,
esk5_1(esk15_1(esk13_1(esk16_0))) = tptp1,
inference(spm,[status(thm)],[c_0_115,c_0_91]) ).
cnf(c_0_125,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_124]),c_0_125]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO004+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 03:36:14 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.15/0.55 % Version: 3.5.1
% 0.15/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.55 % Starting sh5l with 300s (1) cores
% 0.15/0.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1340886 completed with status 0
% 0.15/0.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.55 % No SInE strategy applied
% 0.15/0.55 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.15/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.55 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 0.15/0.55 % Starting new_bool_3 with 136s (1) cores
% 0.15/0.55 % Starting new_bool_1 with 136s (1) cores
% 0.15/0.55 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1340893 completed with status 0
% 0.15/0.55 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.55 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.55 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.55 % No SInE strategy applied
% 0.15/0.55 % Search class: FGHSF-FFMM31-SFFFFFNN
% 0.15/0.55 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.55 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.55 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.15/0.55 % Preprocessing time : 0.002 s
% 0.15/0.55 % Presaturation interreduction done
% 0.15/0.55
% 0.15/0.55 % Proof found!
% 0.15/0.55 % SZS status Theorem
% 0.15/0.55 % SZS output start CNFRefutation
% See solution above
% 0.15/0.55 % Parsed axioms : 49
% 0.15/0.55 % Removed by relevancy pruning/SinE : 0
% 0.15/0.55 % Initial clauses : 82
% 0.15/0.55 % Removed in clause preprocessing : 0
% 0.15/0.55 % Initial clauses in saturation : 82
% 0.15/0.55 % Processed clauses : 1111
% 0.15/0.55 % ...of these trivial : 62
% 0.15/0.55 % ...subsumed : 166
% 0.15/0.55 % ...remaining for further processing : 883
% 0.15/0.55 % Other redundant clauses eliminated : 0
% 0.15/0.55 % Clauses deleted for lack of memory : 0
% 0.15/0.55 % Backward-subsumed : 0
% 0.15/0.55 % Backward-rewritten : 179
% 0.15/0.55 % Generated clauses : 2245
% 0.15/0.55 % ...of the previous two non-redundant : 1738
% 0.15/0.55 % ...aggressively subsumed : 0
% 0.15/0.55 % Contextual simplify-reflections : 5
% 0.15/0.55 % Paramodulations : 2245
% 0.15/0.55 % Factorizations : 0
% 0.15/0.55 % NegExts : 0
% 0.15/0.55 % Equation resolutions : 0
% 0.15/0.55 % Disequality decompositions : 0
% 0.15/0.55 % Total rewrite steps : 1660
% 0.15/0.55 % ...of those cached : 1458
% 0.15/0.55 % Propositional unsat checks : 0
% 0.15/0.55 % Propositional check models : 0
% 0.15/0.55 % Propositional check unsatisfiable : 0
% 0.15/0.55 % Propositional clauses : 0
% 0.15/0.55 % Propositional clauses after purity: 0
% 0.15/0.55 % Propositional unsat core size : 0
% 0.15/0.55 % Propositional preprocessing time : 0.000
% 0.15/0.55 % Propositional encoding time : 0.000
% 0.15/0.55 % Propositional solver time : 0.000
% 0.15/0.55 % Success case prop preproc time : 0.000
% 0.15/0.55 % Success case prop encoding time : 0.000
% 0.15/0.55 % Success case prop solver time : 0.000
% 0.15/0.55 % Current number of processed clauses : 623
% 0.15/0.55 % Positive orientable unit clauses : 216
% 0.15/0.55 % Positive unorientable unit clauses: 0
% 0.15/0.55 % Negative unit clauses : 152
% 0.15/0.55 % Non-unit-clauses : 255
% 0.15/0.55 % Current number of unprocessed clauses: 723
% 0.15/0.55 % ...number of literals in the above : 1843
% 0.15/0.55 % Current number of archived formulas : 0
% 0.15/0.55 % Current number of archived clauses : 260
% 0.15/0.55 % Clause-clause subsumption calls (NU) : 19208
% 0.15/0.55 % Rec. Clause-clause subsumption calls : 12500
% 0.15/0.55 % Non-unit clause-clause subsumptions : 64
% 0.15/0.55 % Unit Clause-clause subsumption calls : 3874
% 0.15/0.55 % Rewrite failures with RHS unbound : 0
% 0.15/0.55 % BW rewrite match attempts : 161
% 0.15/0.55 % BW rewrite match successes : 22
% 0.15/0.55 % Condensation attempts : 0
% 0.15/0.55 % Condensation successes : 0
% 0.15/0.55 % Termbank termtop insertions : 59760
% 0.15/0.55 % Search garbage collected termcells : 1353
% 0.15/0.55
% 0.15/0.55 % -------------------------------------------------
% 0.15/0.55 % User time : 0.099 s
% 0.15/0.55 % System time : 0.011 s
% 0.15/0.55 % Total time : 0.110 s
% 0.15/0.55 % Maximum resident set size: 4000 pages
% 0.15/0.55
% 0.15/0.55 % -------------------------------------------------
% 0.15/0.55 % User time : 0.391 s
% 0.15/0.55 % System time : 0.036 s
% 0.15/0.55 % Total time : 0.428 s
% 0.15/0.55 % Maximum resident set size: 4608 pages
% 0.15/0.55 % E exiting
%------------------------------------------------------------------------------