%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO003+3 : 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 : n010.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 01:59:29 PM UTC 2026
% Result : Theorem 4.84s 11.15s
% Output : CNFRefutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 98 ( 41 unt; 0 def)
% Number of atoms : 259 ( 26 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 272 ( 111 ~; 102 |; 46 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 145 ( 6 sgn 72 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_27,axiom,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(goals,conjecture,
~ ? [X168] : occurrence_of(X168,tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( root(X100,X102)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( root_occ(X165,X166)
& occurrence_of(X166,tptp0) )
=> ? [X167] :
( next_subocc(X165,X167,tptp0)
& occurrence_of(X167,tptp1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_62) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( next_subocc(X163,X164,tptp0)
& leaf_occ(X164,X162)
& occurrence_of(X164,tptp3)
& root_occ(X163,X162)
& occurrence_of(X163,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( root_occ(X107,X108)
& root_occ(X106,X108)
& occurrence_of(X108,X109) )
=> X106 = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( ~ ? [X64] :
( min_precedes(X64,X62,X63)
& min_precedes(X61,X64,X63) )
& min_precedes(X61,X62,X63) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity_occurrence(X2)
& activity(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(sos_39,axiom,
! [X122,X123,X124,X125,X126] :
( ( subactivity_occurrence(X123,X126)
& subactivity_occurrence(X124,X126)
& occurrence_of(X126,X125)
& next_subocc(X122,X124,X125)
& next_subocc(X122,X123,X125) )
=> X123 = X124 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( occurrence_of(X3,X4)
& activity(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( leaf(X103,X105)
& subactivity_occurrence(X103,X104)
& occurrence_of(X104,X105) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_15,plain,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_16,negated_conjecture,
~ ~ ? [X168] : occurrence_of(X168,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_17,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_18,plain,
! [X256,X257] :
( ( atomic(X256)
| ~ occurrence_of(X257,X256)
| subactivity_occurrence(esk12_2(X256,X257),X257) )
& ( atomic(X256)
| ~ occurrence_of(X257,X256)
| root(esk12_2(X256,X257),X256) ) ),
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_15])])])])]) ).
fof(c_0_19,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
fof(c_0_21,plain,
! [X279,X280,X282,X283,X284] :
( ( root_occ(X282,X283)
| ~ root(X282,X284)
| ~ subactivity_occurrence(X282,X283)
| ~ occurrence_of(X283,X284) )
& ( ~ root_occ(X279,X280)
| root(X279,esk14_2(X279,X280)) )
& ( ~ root_occ(X279,X280)
| subactivity_occurrence(X279,X280) )
& ( ~ root_occ(X279,X280)
| occurrence_of(X280,esk14_2(X279,X280)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_33])])])])])])]) ).
cnf(c_0_22,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_25,plain,
! [X350,X351] :
( ( ~ root_occ(X350,X351)
| ~ occurrence_of(X351,tptp0)
| next_subocc(X350,esk19_1(X350),tptp0) )
& ( ~ root_occ(X350,X351)
| ~ occurrence_of(X351,tptp0)
| occurrence_of(esk19_1(X350),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)],[sos_62])])])])])])]) ).
fof(c_0_26,plain,
! [X347] :
( ( ~ occurrence_of(X347,tptp0)
| next_subocc(esk17_1(X347),esk18_1(X347),tptp0) )
& ( ~ occurrence_of(X347,tptp0)
| leaf_occ(esk18_1(X347),X347) )
& ( ~ occurrence_of(X347,tptp0)
| occurrence_of(esk18_1(X347),tptp3) )
& ( ~ occurrence_of(X347,tptp0)
| root_occ(esk17_1(X347),X347) )
& ( ~ occurrence_of(X347,tptp0)
| occurrence_of(esk17_1(X347),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_49])])])])]) ).
cnf(c_0_27,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_29,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| next_subocc(X1,esk19_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X291,X292,X293,X294] :
( X291 = X292
| ~ root_occ(X292,X293)
| ~ root_occ(X291,X293)
| ~ occurrence_of(X293,X294) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_33,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| ~ root(esk12_2(tptp0,esk20_0),X1)
| root_occ(esk12_2(tptp0,esk20_0),esk20_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_23]),c_0_24]) ).
fof(c_0_35,plain,
! [X233,X234,X235,X236,X237,X238,X239] :
( ( next_subocc(X237,X238,X239)
| ~ min_precedes(X237,X238,X239)
| min_precedes(esk8_3(X237,X238,X239),X238,X239) )
& ( next_subocc(X237,X238,X239)
| ~ min_precedes(X237,X238,X239)
| min_precedes(X237,esk8_3(X237,X238,X239),X239) )
& ( ~ next_subocc(X233,X234,X235)
| ~ min_precedes(X236,X234,X235)
| ~ min_precedes(X233,X236,X235) )
& ( ~ next_subocc(X233,X234,X235)
| min_precedes(X233,X234,X235) ) ),
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_22])])])])])])]) ).
cnf(c_0_36,negated_conjecture,
( ~ root_occ(X1,esk20_0)
| next_subocc(X1,esk19_1(X1),tptp0) ),
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
cnf(c_0_37,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
cnf(c_0_38,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
root_occ(esk12_2(tptp0,esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_23]),c_0_34])]) ).
fof(c_0_40,plain,
! [X249,X250,X251] :
( ( ~ min_precedes(X250,X251,X249)
| subactivity_occurrence(X251,esk10_3(X249,X250,X251)) )
& ( ~ min_precedes(X250,X251,X249)
| subactivity_occurrence(X250,esk10_3(X249,X250,X251)) )
& ( ~ min_precedes(X250,X251,X249)
| occurrence_of(esk10_3(X249,X250,X251),X249) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).
cnf(c_0_41,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ root_occ(X1,esk20_0)
| X1 = esk12_2(tptp0,esk20_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,plain,
( ~ root_occ(X2,X1)
| occurrence_of(X1,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_45,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk10_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| esk12_2(tptp0,esk20_0) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_37]) ).
cnf(c_0_48,negated_conjecture,
occurrence_of(esk20_0,esk14_2(esk12_2(tptp0,esk20_0),esk20_0)),
inference(spm,[status(thm)],[c_0_44,c_0_39]) ).
cnf(c_0_49,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_52,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1)
| ~ root(esk17_1(esk20_0),X1)
| root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) ),
inference(spm,[status(thm)],[c_0_27,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_34,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54])]) ).
cnf(c_0_56,plain,
( ~ root_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| occurrence_of(esk19_1(X1),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_57,plain,
! [X169,X170] :
( ( ~ occurrence_of(X170,X169)
| activity_occurrence(X170) )
& ( ~ occurrence_of(X170,X169)
| activity(X169) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])])]) ).
cnf(c_0_58,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk18_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_59,plain,
! [X307,X308,X309,X310,X311] :
( X308 = X309
| ~ subactivity_occurrence(X308,X311)
| ~ subactivity_occurrence(X309,X311)
| ~ occurrence_of(X311,X310)
| ~ next_subocc(X307,X309,X310)
| ~ next_subocc(X307,X308,X310) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_39])])]) ).
cnf(c_0_60,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X2)
| ~ root_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| X1 = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_38,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
root_occ(esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_31,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( ~ root_occ(X1,esk20_0)
| occurrence_of(esk19_1(X1),tptp1) ),
inference(spm,[status(thm)],[c_0_56,c_0_23]) ).
fof(c_0_63,plain,
! [X173,X174,X175] :
( X174 = X175
| ~ occurrence_of(X173,X175)
| ~ occurrence_of(X173,X174) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
fof(c_0_64,plain,
! [X171] :
( ( ~ activity_occurrence(X171)
| occurrence_of(X171,esk1_1(X171)) )
& ( ~ activity_occurrence(X171)
| activity(esk1_1(X171)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])])]) ).
cnf(c_0_65,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,negated_conjecture,
occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp3),
inference(spm,[status(thm)],[c_0_58,c_0_54]) ).
cnf(c_0_67,plain,
( ~ subactivity_occurrence(X2,X5)
| ~ subactivity_occurrence(X4,X5)
| ~ occurrence_of(X5,X3)
| ~ next_subocc(X1,X4,X3)
| ~ next_subocc(X1,X2,X3)
| X2 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_68,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_69,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_70,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1)
| esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
fof(c_0_71,plain,
! [X285,X286,X288,X289,X290] :
( ( leaf_occ(X288,X289)
| ~ leaf(X288,X290)
| ~ subactivity_occurrence(X288,X289)
| ~ occurrence_of(X289,X290) )
& ( ~ leaf_occ(X285,X286)
| leaf(X285,esk15_2(X285,X286)) )
& ( ~ leaf_occ(X285,X286)
| subactivity_occurrence(X285,X286) )
& ( ~ leaf_occ(X285,X286)
| occurrence_of(X286,esk15_2(X285,X286)) ) ),
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_34])])])])])])]) ).
cnf(c_0_72,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk18_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_73,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp1),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_74,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_75,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_76,negated_conjecture,
activity_occurrence(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( ~ occurrence_of(X2,tptp0)
| ~ next_subocc(esk17_1(esk20_0),X1,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ subactivity_occurrence(esk19_1(esk17_1(esk20_0)),X2)
| X1 = esk19_1(esk17_1(esk20_0)) ),
inference(spm,[status(thm)],[c_0_67,c_0_42]) ).
cnf(c_0_78,negated_conjecture,
subactivity_occurrence(esk19_1(esk17_1(esk20_0)),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_68,c_0_46]) ).
cnf(c_0_79,negated_conjecture,
next_subocc(esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp0),
inference(spm,[status(thm)],[c_0_69,c_0_54]) ).
cnf(c_0_80,negated_conjecture,
esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_70,c_0_54]) ).
cnf(c_0_81,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_82,negated_conjecture,
leaf_occ(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_72,c_0_54]) ).
cnf(c_0_83,negated_conjecture,
activity_occurrence(esk19_1(esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_65,c_0_73]) ).
fof(c_0_84,plain,
tptp1 != tptp3,
inference(fof_simplification,[status(thm)],[sos_59]) ).
cnf(c_0_85,negated_conjecture,
( ~ occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),X1)
| X1 = tptp3 ),
inference(spm,[status(thm)],[c_0_74,c_0_66]) ).
cnf(c_0_86,negated_conjecture,
occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk1_1(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))))),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_87,negated_conjecture,
( ~ next_subocc(esk17_1(esk20_0),X1,tptp0)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| X1 = esk19_1(esk17_1(esk20_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_54]),c_0_78])]) ).
cnf(c_0_88,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),tptp0),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_89,negated_conjecture,
subactivity_occurrence(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1)
| X1 = tptp1 ),
inference(spm,[status(thm)],[c_0_74,c_0_73]) ).
cnf(c_0_91,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),esk1_1(esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_75,c_0_83]) ).
fof(c_0_92,plain,
tptp1 != tptp3,
inference(fof_nnf,[status(thm)],[c_0_84]) ).
cnf(c_0_93,negated_conjecture,
esk1_1(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))) = tptp3,
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_95,negated_conjecture,
esk1_1(esk19_1(esk17_1(esk20_0))) = tptp1,
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94]),c_0_95]),c_0_96]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PRO003+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/10.37 % Computer : n010.cluster.edu
% 0.12/10.37 % Model : x86_64 x86_64
% 0.12/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.37 % Memory : 8046.5625MB
% 0.12/10.37 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 03:41:08 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.12/10.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/10.42 Running first-order theorem proving
% 0.14/10.42 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
% 4.84/11.15 % Version: 3.5.1
% 4.84/11.15 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.84/11.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.84/11.15 % Starting new_bool_3 with 300s (1) cores
% 4.84/11.15 % Starting new_bool_1 with 300s (1) cores
% 4.84/11.15 % Starting sh5l with 300s (1) cores
% 4.84/11.15 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4146883 completed with status 0
% 4.84/11.15 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.84/11.15 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.84/11.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.84/11.15 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.84/11.15 % No SInE strategy applied
% 4.84/11.15 % Search class: FGHSF-FFMM32-SFFFFFNN
% 4.84/11.15 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.84/11.15 % Starting SubtermCWHack with 136s (1) cores
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 4.84/11.15 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 4.84/11.15 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 4.84/11.15 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 4146891 completed with status 0
% 4.84/11.15 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 4.84/11.15 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.84/11.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.84/11.15 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.84/11.15 % No SInE strategy applied
% 4.84/11.15 % Search class: FGHSF-FFMM32-SFFFFFNN
% 4.84/11.15 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.84/11.15 % Starting SubtermCWHack with 136s (1) cores
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.84/11.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 4.84/11.15 % Preprocessing time : 0.002 s
% 4.84/11.15 % Presaturation interreduction done
% 4.84/11.15
% 4.84/11.15 % Proof found!
% 4.84/11.15 % SZS status Theorem
% 4.84/11.15 % SZS output start CNFRefutation
% See solution above
% 4.84/11.15 % Parsed axioms : 64
% 4.84/11.15 % Removed by relevancy pruning/SinE : 0
% 4.84/11.15 % Initial clauses : 102
% 4.84/11.15 % Removed in clause preprocessing : 0
% 4.84/11.15 % Initial clauses in saturation : 102
% 4.84/11.15 % Processed clauses : 6893
% 4.84/11.15 % ...of these trivial : 324
% 4.84/11.15 % ...subsumed : 1697
% 4.84/11.15 % ...remaining for further processing : 4872
% 4.84/11.15 % Other redundant clauses eliminated : 0
% 4.84/11.15 % Clauses deleted for lack of memory : 0
% 4.84/11.15 % Backward-subsumed : 6
% 4.84/11.15 % Backward-rewritten : 870
% 4.84/11.15 % Generated clauses : 17323
% 4.84/11.15 % ...of the previous two non-redundant : 15599
% 4.84/11.15 % ...aggressively subsumed : 0
% 4.84/11.15 % Contextual simplify-reflections : 12
% 4.84/11.15 % Paramodulations : 17323
% 4.84/11.15 % Factorizations : 0
% 4.84/11.15 % NegExts : 0
% 4.84/11.15 % Equation resolutions : 0
% 4.84/11.15 % Disequality decompositions : 0
% 4.84/11.15 % Total rewrite steps : 8512
% 4.84/11.15 % ...of those cached : 7998
% 4.84/11.15 % Propositional unsat checks : 0
% 4.84/11.15 % Propositional check models : 0
% 4.84/11.15 % Propositional check unsatisfiable : 0
% 4.84/11.15 % Propositional clauses : 0
% 4.84/11.15 % Propositional clauses after purity: 0
% 4.84/11.15 % Propositional unsat core size : 0
% 4.84/11.15 % Propositional preprocessing time : 0.000
% 4.84/11.15 % Propositional encoding time : 0.000
% 4.84/11.15 % Propositional solver time : 0.000
% 4.84/11.15 % Success case prop preproc time : 0.000
% 4.84/11.15 % Success case prop encoding time : 0.000
% 4.84/11.15 % Success case prop solver time : 0.000
% 4.84/11.15 % Current number of processed clauses : 3894
% 4.84/11.15 % Positive orientable unit clauses : 1206
% 4.84/11.15 % Positive unorientable unit clauses: 0
% 4.84/11.15 % Negative unit clauses : 925
% 4.84/11.15 % Non-unit-clauses : 1763
% 4.84/11.15 % Current number of unprocessed clauses: 8096
% 4.84/11.15 % ...number of literals in the above : 21259
% 4.84/11.15 % Current number of archived formulas : 0
% 4.84/11.15 % Current number of archived clauses : 978
% 4.84/11.15 % Clause-clause subsumption calls (NU) : 293882
% 4.84/11.15 % Rec. Clause-clause subsumption calls : 218044
% 4.84/11.15 % Non-unit clause-clause subsumptions : 876
% 4.84/11.15 % Unit Clause-clause subsumption calls : 73993
% 4.84/11.15 % Rewrite failures with RHS unbound : 0
% 4.84/11.15 % BW rewrite match attempts : 6339
% 4.84/11.15 % BW rewrite match successes : 121
% 4.84/11.15 % Condensation attempts : 0
% 4.84/11.15 % Condensation successes : 0
% 4.84/11.15 % Termbank termtop insertions : 625355
% 4.84/11.15 % Search garbage collected termcells : 1811
% 4.84/11.15
% 4.84/11.15 % -------------------------------------------------
% 4.84/11.15 % User time : 0.675 s
% 4.84/11.15 % System time : 0.031 s
% 4.84/11.15 % Total time : 0.706 s
% 4.84/11.15 % Maximum resident set size: 4064 pages
% 4.84/11.15
% 4.84/11.15 % -------------------------------------------------
% 4.84/11.15 % User time : 3.209 s
% 4.84/11.15 % System time : 0.111 s
% 4.84/11.15 % Total time : 3.320 s
% 4.84/11.15 % Maximum resident set size: 5120 pages
% 4.84/11.15 % E exiting
%------------------------------------------------------------------------------