%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO012+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:33 PM UTC 2026
% Result : Theorem 1.06s 0.56s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 82 ( 29 unt; 0 def)
% Number of atoms : 235 ( 13 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 252 ( 99 ~; 96 |; 44 &)
% ( 1 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 125 ( 6 sgn 55 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos,axiom,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(goals,conjecture,
! [X107] :
( occurrence_of(X107,tptp0)
=> ? [X108,X109] :
( min_precedes(X108,X109,tptp0)
& ( occurrence_of(X109,tptp1)
| occurrence_of(X109,tptp2) )
& root_occ(X108,X107)
& occurrence_of(X108,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104,X105] :
( ! [X106] :
( min_precedes(X103,X106,tptp0)
=> ( X106 = X105
| X106 = X104 ) )
& min_precedes(X104,X105,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& min_precedes(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_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_29,axiom,
! [X91,X92,X93,X94] :
( ( root_occ(X92,X93)
& root_occ(X91,X93)
& occurrence_of(X93,X94) )
=> X91 = X92 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
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_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/sandbox/benchmark/theBenchmark.p',sos_06) ).
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(sos_27,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(sos_23,axiom,
! [X69,X70,X71] :
( min_precedes(X69,X70,X71)
=> ? [X72] :
( min_precedes(X72,X70,X71)
& root(X72,X71) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
fof(c_0_11,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_12,negated_conjecture,
~ ! [X107] :
( occurrence_of(X107,tptp0)
=> ? [X108,X109] :
( min_precedes(X108,X109,tptp0)
& ( occurrence_of(X109,tptp1)
| occurrence_of(X109,tptp2) )
& root_occ(X108,X107)
& occurrence_of(X108,tptp3) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_13,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_14,plain,
! [X110,X111] :
( ( atomic(X110)
| ~ occurrence_of(X111,X110)
| subactivity_occurrence(esk1_2(X110,X111),X111) )
& ( atomic(X110)
| ~ occurrence_of(X111,X110)
| root(esk1_2(X110,X111),X110) ) ),
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_11])])])])]) ).
fof(c_0_15,negated_conjecture,
! [X234,X235] :
( ( ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1) )
& ( ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,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_12])])])])])]) ).
fof(c_0_16,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
fof(c_0_17,plain,
! [X228,X232] :
( ( ~ occurrence_of(X228,tptp0)
| X232 = esk15_1(X228)
| X232 = esk14_1(X228)
| ~ min_precedes(esk13_1(X228),X232,tptp0) )
& ( ~ occurrence_of(X228,tptp0)
| min_precedes(esk14_1(X228),esk15_1(X228),tptp0) )
& ( ~ occurrence_of(X228,tptp0)
| occurrence_of(esk15_1(X228),tptp1)
| occurrence_of(esk15_1(X228),tptp2) )
& ( ~ occurrence_of(X228,tptp0)
| min_precedes(esk13_1(X228),esk14_1(X228),tptp0) )
& ( ~ occurrence_of(X228,tptp0)
| occurrence_of(esk14_1(X228),tptp4) )
& ( ~ occurrence_of(X228,tptp0)
| root_occ(esk13_1(X228),X228) )
& ( ~ occurrence_of(X228,tptp0)
| occurrence_of(esk13_1(X228),tptp3) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])])]) ).
fof(c_0_18,plain,
! [X178,X179,X181,X182,X183] :
( ( root_occ(X181,X182)
| ~ root(X181,X183)
| ~ subactivity_occurrence(X181,X182)
| ~ occurrence_of(X182,X183) )
& ( ~ root_occ(X178,X179)
| root(X178,esk10_2(X178,X179)) )
& ( ~ root_occ(X178,X179)
| subactivity_occurrence(X178,X179) )
& ( ~ root_occ(X178,X179)
| occurrence_of(X179,esk10_2(X178,X179)) ) ),
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_19,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_22,plain,
! [X217,X218,X219,X220] :
( X217 = X218
| ~ root_occ(X218,X219)
| ~ root_occ(X217,X219)
| ~ occurrence_of(X219,X220) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_23,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk13_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_26,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk1_2(tptp0,esk16_0),X1)
| root_occ(esk1_2(tptp0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21]) ).
fof(c_0_31,plain,
! [X122,X123] :
( ( ~ occurrence_of(X123,X122)
| activity_occurrence(X123) )
& ( ~ occurrence_of(X123,X122)
| activity(X122) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])])]) ).
fof(c_0_32,plain,
! [X131,X132,X133] :
( ( ~ min_precedes(X132,X133,X131)
| subactivity_occurrence(X133,esk3_3(X131,X132,X133)) )
& ( ~ min_precedes(X132,X133,X131)
| subactivity_occurrence(X132,esk3_3(X131,X132,X133)) )
& ( ~ min_precedes(X132,X133,X131)
| occurrence_of(esk3_3(X131,X132,X133),X131) ) ),
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_33,plain,
( ~ occurrence_of(X1,tptp0)
| min_precedes(esk14_1(X1),esk15_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ root_occ(X1,esk16_0)
| X1 = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
root_occ(esk1_2(tptp0,esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_20])]) ).
fof(c_0_36,plain,
! [X151] :
( ( ~ activity_occurrence(X151)
| occurrence_of(X151,esk5_1(X151)) )
& ( ~ activity_occurrence(X151)
| activity(esk5_1(X151)) ) ),
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_37,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X209,X210,X211,X212] :
( subactivity_occurrence(X209,X212)
| ~ subactivity_occurrence(X210,X212)
| ~ occurrence_of(X212,X211)
| ~ min_precedes(X209,X210,X211) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])])]) ).
cnf(c_0_39,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk3_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
min_precedes(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| esk1_2(tptp0,esk16_0) = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_44,plain,
( ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3)
| ~ min_precedes(X1,X2,X3)
| subactivity_occurrence(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
subactivity_occurrence(esk14_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( ~ occurrence_of(X1,tptp0)
| min_precedes(esk13_1(X1),esk14_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_47,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk3_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_48,plain,
! [X191,X192,X193] :
( ( ~ min_precedes(X191,X192,X193)
| min_precedes(esk11_3(X191,X192,X193),X192,X193) )
& ( ~ min_precedes(X191,X192,X193)
| root(esk11_3(X191,X192,X193),X193) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_23])])])])]) ).
cnf(c_0_49,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk3_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_50,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_41,c_0_42]),c_0_43])]) ).
cnf(c_0_51,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X2)
| ~ min_precedes(X1,esk14_1(esk16_0),X2)
| subactivity_occurrence(X1,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_46,c_0_20]) ).
cnf(c_0_53,negated_conjecture,
occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),tptp0),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_54,plain,
( ~ min_precedes(X1,X2,X3)
| root(esk11_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
subactivity_occurrence(esk15_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
inference(spm,[status(thm)],[c_0_49,c_0_40]) ).
cnf(c_0_56,plain,
( ~ min_precedes(X1,X2,X3)
| min_precedes(esk11_3(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_57,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk13_1(esk16_0),X1)
| root_occ(esk13_1(esk16_0),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_50]),c_0_50]) ).
cnf(c_0_58,negated_conjecture,
subactivity_occurrence(esk13_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_59,negated_conjecture,
root(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),tptp0),
inference(spm,[status(thm)],[c_0_54,c_0_40]) ).
cnf(c_0_60,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X2)
| ~ min_precedes(X1,esk15_1(esk16_0),X2)
| subactivity_occurrence(X1,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))) ),
inference(spm,[status(thm)],[c_0_44,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
min_precedes(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_56,c_0_40]) ).
cnf(c_0_62,negated_conjecture,
root_occ(esk13_1(esk16_0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_53])]) ).
cnf(c_0_63,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),X1)
| root_occ(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_59]) ).
cnf(c_0_64,negated_conjecture,
subactivity_occurrence(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_53])]) ).
cnf(c_0_65,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X2)
| ~ root_occ(X1,esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)))
| X1 = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_62]) ).
cnf(c_0_66,negated_conjecture,
root_occ(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),esk3_3(tptp0,esk14_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_53])]) ).
cnf(c_0_67,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk13_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_68,negated_conjecture,
( ~ occurrence_of(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0)),X1)
| esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0) = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
activity_occurrence(esk3_3(tptp0,esk14_1(esk16_0),esk15_1(esk16_0))),
inference(spm,[status(thm)],[c_0_37,c_0_53]) ).
cnf(c_0_70,negated_conjecture,
( ~ 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_15]) ).
cnf(c_0_71,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(spm,[status(thm)],[c_0_67,c_0_20]) ).
cnf(c_0_72,negated_conjecture,
esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_42]),c_0_69])]) ).
cnf(c_0_73,negated_conjecture,
( ~ 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_15]) ).
cnf(c_0_74,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk15_1(X1),tptp1)
| occurrence_of(esk15_1(X1),tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_75,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_28]),c_0_71])]) ).
cnf(c_0_76,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(rw,[status(thm)],[c_0_61,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_28]),c_0_71])]) ).
cnf(c_0_78,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| occurrence_of(esk15_1(esk16_0),tptp1) ),
inference(spm,[status(thm)],[c_0_74,c_0_20]) ).
cnf(c_0_79,negated_conjecture,
~ occurrence_of(esk15_1(esk16_0),tptp2),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
~ occurrence_of(esk15_1(esk16_0),tptp1),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_78,c_0_79]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO012+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 03:42:34 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 1.06/0.56 % Version: 3.5.1
% 1.06/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.06/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.06/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.06/0.56 % Starting new_bool_3 with 300s (1) cores
% 1.06/0.56 % Starting new_bool_1 with 300s (1) cores
% 1.06/0.56 % Starting sh5l with 300s (1) cores
% 1.06/0.56 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2470131 completed with status 0
% 1.06/0.56 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.06/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.06/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.06/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.06/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.06/0.56 % No SInE strategy applied
% 1.06/0.56 % Search class: FGHSF-FFMM31-SFFFFFNN
% 1.06/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.06/0.56 % Starting SubtermCWHack with 136s (1) cores
% 1.06/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.06/0.56 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.06/0.56 % Starting new_bool_3 with 136s (1) cores
% 1.06/0.56 % Starting new_bool_1 with 136s (1) cores
% 1.06/0.56 % new_bool_3 with pid 2470140 completed with status 0
% 1.06/0.56 % Result found by new_bool_3
% 1.06/0.56 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.06/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.06/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.06/0.56 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.06/0.56 % No SInE strategy applied
% 1.06/0.56 % Search class: FGHSF-FFMM31-SFFFFFNN
% 1.06/0.56 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.06/0.56 % Starting SubtermCWHack with 136s (1) cores
% 1.06/0.56 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.06/0.56 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 1.06/0.56 % Starting new_bool_3 with 136s (1) cores
% 1.06/0.56 % Preprocessing time : 0.002 s
% 1.06/0.56 % Presaturation interreduction done
% 1.06/0.56
% 1.06/0.56 % Proof found!
% 1.06/0.56 % SZS status Theorem
% 1.06/0.56 % SZS output start CNFRefutation
% See solution above
% 1.06/0.56 % Parsed axioms : 46
% 1.06/0.56 % Removed by relevancy pruning/SinE : 0
% 1.06/0.56 % Initial clauses : 82
% 1.06/0.56 % Removed in clause preprocessing : 0
% 1.06/0.56 % Initial clauses in saturation : 82
% 1.06/0.56 % Processed clauses : 929
% 1.06/0.56 % ...of these trivial : 18
% 1.06/0.56 % ...subsumed : 186
% 1.06/0.56 % ...remaining for further processing : 724
% 1.06/0.56 % Other redundant clauses eliminated : 0
% 1.06/0.56 % Clauses deleted for lack of memory : 0
% 1.06/0.56 % Backward-subsumed : 17
% 1.06/0.56 % Backward-rewritten : 140
% 1.06/0.56 % Generated clauses : 1873
% 1.06/0.56 % ...of the previous two non-redundant : 1415
% 1.06/0.56 % ...aggressively subsumed : 0
% 1.06/0.56 % Contextual simplify-reflections : 19
% 1.06/0.56 % Paramodulations : 1867
% 1.06/0.56 % Factorizations : 3
% 1.06/0.56 % NegExts : 0
% 1.06/0.56 % Equation resolutions : 0
% 1.06/0.56 % Disequality decompositions : 0
% 1.06/0.56 % Total rewrite steps : 1173
% 1.06/0.56 % ...of those cached : 1022
% 1.06/0.56 % Propositional unsat checks : 0
% 1.06/0.56 % Propositional check models : 0
% 1.06/0.56 % Propositional check unsatisfiable : 0
% 1.06/0.56 % Propositional clauses : 0
% 1.06/0.56 % Propositional clauses after purity: 0
% 1.06/0.56 % Propositional unsat core size : 0
% 1.06/0.56 % Propositional preprocessing time : 0.000
% 1.06/0.56 % Propositional encoding time : 0.000
% 1.06/0.56 % Propositional solver time : 0.000
% 1.06/0.56 % Success case prop preproc time : 0.000
% 1.06/0.56 % Success case prop encoding time : 0.000
% 1.06/0.56 % Success case prop solver time : 0.000
% 1.06/0.56 % Current number of processed clauses : 482
% 1.06/0.56 % Positive orientable unit clauses : 178
% 1.06/0.56 % Positive unorientable unit clauses: 0
% 1.06/0.56 % Negative unit clauses : 46
% 1.06/0.56 % Non-unit-clauses : 258
% 1.06/0.56 % Current number of unprocessed clauses: 598
% 1.06/0.56 % ...number of literals in the above : 1304
% 1.06/0.56 % Current number of archived formulas : 0
% 1.06/0.56 % Current number of archived clauses : 242
% 1.06/0.56 % Clause-clause subsumption calls (NU) : 18680
% 1.06/0.56 % Rec. Clause-clause subsumption calls : 15148
% 1.06/0.56 % Non-unit clause-clause subsumptions : 119
% 1.06/0.56 % Unit Clause-clause subsumption calls : 1726
% 1.06/0.56 % Rewrite failures with RHS unbound : 0
% 1.06/0.56 % BW rewrite match attempts : 207
% 1.06/0.56 % BW rewrite match successes : 17
% 1.06/0.56 % Condensation attempts : 0
% 1.06/0.56 % Condensation successes : 0
% 1.06/0.56 % Termbank termtop insertions : 45042
% 1.06/0.56 % Search garbage collected termcells : 1354
% 1.06/0.56
% 1.06/0.56 % -------------------------------------------------
% 1.06/0.56 % User time : 0.080 s
% 1.06/0.56 % System time : 0.011 s
% 1.06/0.56 % Total time : 0.091 s
% 1.06/0.56 % Maximum resident set size: 3996 pages
% 1.06/0.56
% 1.06/0.56 % -------------------------------------------------
% 1.06/0.56 % User time : 0.482 s
% 1.06/0.56 % System time : 0.041 s
% 1.06/0.56 % Total time : 0.524 s
% 1.06/0.56 % Maximum resident set size: 4608 pages
% 1.06/0.56 % E exiting
%------------------------------------------------------------------------------