%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PRO006+3 : 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 : n015.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 01:59:40 PM UTC 2026
% Result : Theorem 5.69s 1.26s
% Output : CNFRefutation 5.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 19
% Syntax : Number of formulae : 120 ( 50 unt; 0 def)
% Number of atoms : 331 ( 26 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 352 ( 141 ~; 133 |; 59 &)
% ( 4 <=>; 15 =>; 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 : 15 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 178 ( 7 sgn 91 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_27,axiom,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(goals,conjecture,
~ ? [X168] : occurrence_of(X168,tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_33) ).
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/sandbox2/benchmark/theBenchmark.p',sos_35) ).
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/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( ~ atomic(X74)
& root(X75,X74) )
=> ? [X76] :
( subactivity_occurrence(X75,X76)
& occurrence_of(X76,X74) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
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/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( ~ leaf_occ(X165,X166)
& arboreal(X165)
& subactivity_occurrence(X165,X166)
& occurrence_of(X166,tptp0) )
=> ? [X167] :
( next_subocc(X165,X167,tptp0)
& occurrence_of(X167,tptp1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( leaf_occ(X115,X114)
& occurrence_of(X114,X116) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
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/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity_occurrence(X2)
& activity(X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( occurrence_of(X3,X4)
& activity(X4) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_59,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_59) ).
fof(c_0_19,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_20,negated_conjecture,
~ ~ ? [X168] : occurrence_of(X168,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_21,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_22,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_19])])])])]) ).
fof(c_0_23,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_24,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_21]) ).
fof(c_0_25,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_26,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
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_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_28]) ).
fof(c_0_35,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_36,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_37,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_27]),c_0_34])]) ).
cnf(c_0_38,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X74,X75] :
( ( ~ atomic(X74)
& root(X75,X74) )
=> ? [X76] :
( subactivity_occurrence(X75,X76)
& occurrence_of(X76,X74) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
cnf(c_0_40,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ root_occ(X1,esk20_0)
| X1 = esk12_2(tptp0,esk20_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_38,c_0_27]) ).
fof(c_0_42,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_43,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_44,plain,
! [X253,X254] :
( ( atomic(X253)
| ~ root(X254,X253)
| subactivity_occurrence(X254,esk11_2(X253,X254)) )
& ( atomic(X253)
| ~ root(X254,X253)
| occurrence_of(esk11_2(X253,X254),X253) ) ),
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_39])])])])]) ).
fof(c_0_45,plain,
! [X165,X166] :
( ( ~ leaf_occ(X165,X166)
& arboreal(X165)
& subactivity_occurrence(X165,X166)
& occurrence_of(X166,tptp0) )
=> ? [X167] :
( next_subocc(X165,X167,tptp0)
& occurrence_of(X167,tptp1) ) ),
inference(fof_simplification,[status(thm)],[sos_62]) ).
cnf(c_0_46,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| esk12_2(tptp0,esk20_0) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X299,X300,X301,X302] :
( ~ min_precedes(X300,X302,X301)
| ~ leaf_occ(X300,X299)
| ~ occurrence_of(X299,X301) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])])]) ).
cnf(c_0_48,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_27]) ).
cnf(c_0_50,plain,
( ~ root(X2,X1)
| atomic(X1)
| occurrence_of(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_51,plain,
! [X350,X351] :
( ( leaf_occ(X350,X351)
| ~ arboreal(X350)
| ~ subactivity_occurrence(X350,X351)
| ~ occurrence_of(X351,tptp0)
| next_subocc(X350,esk19_1(X350),tptp0) )
& ( leaf_occ(X350,X351)
| ~ arboreal(X350)
| ~ subactivity_occurrence(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)],[c_0_45])])])])])])]) ).
cnf(c_0_52,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_46,c_0_27]) ).
fof(c_0_53,plain,
! [X185,X186] :
( ( ~ occurrence_of(X185,X186)
| arboreal(X185)
| ~ atomic(X186) )
& ( ~ occurrence_of(X185,X186)
| atomic(X186)
| ~ arboreal(X185) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_54,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk17_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_55,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk18_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_57,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk12_2(tptp0,esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_34]),c_0_28]) ).
cnf(c_0_58,plain,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| leaf_occ(X1,X2)
| next_subocc(X1,esk19_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( ~ root(X1,X2)
| atomic(X2)
| subactivity_occurrence(X1,esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_60,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_34,c_0_52]) ).
cnf(c_0_61,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp4),
inference(spm,[status(thm)],[c_0_54,c_0_27]) ).
cnf(c_0_63,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_64,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ leaf_occ(esk17_1(esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_66,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| next_subocc(X1,esk19_1(X1),tptp0)
| leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_57]),c_0_52]),c_0_52]) ).
cnf(c_0_67,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_28]) ).
cnf(c_0_68,negated_conjecture,
arboreal(esk17_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_69,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_70,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_71,negated_conjecture,
next_subocc(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]),c_0_69]) ).
cnf(c_0_72,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk10_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_73,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_71]) ).
cnf(c_0_74,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_72,c_0_73]) ).
cnf(c_0_75,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,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_29,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_75,c_0_73]) ).
cnf(c_0_78,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_76,c_0_60]),c_0_77])]) ).
cnf(c_0_79,plain,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| ~ occurrence_of(X2,tptp0)
| leaf_occ(X1,X2)
| occurrence_of(esk19_1(X1),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_80,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_81,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk18_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_82,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_83,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_36,c_0_78]) ).
cnf(c_0_84,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_38,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
( ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_57]),c_0_52]),c_0_52]) ).
fof(c_0_86,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_87,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_88,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_89,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_81,c_0_77]) ).
cnf(c_0_90,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_82]) ).
cnf(c_0_91,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_92,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_83,c_0_84]) ).
fof(c_0_93,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_94,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk18_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_95,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),tptp1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_67]),c_0_68])]),c_0_69]) ).
cnf(c_0_96,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_97,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,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_88,c_0_89]) ).
cnf(c_0_99,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_90,c_0_71]) ).
cnf(c_0_100,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_91,c_0_73]) ).
cnf(c_0_101,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_43,c_0_77]) ).
cnf(c_0_102,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_92,c_0_77]) ).
cnf(c_0_103,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_104,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_94,c_0_77]) ).
cnf(c_0_105,negated_conjecture,
activity_occurrence(esk19_1(esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_88,c_0_95]) ).
fof(c_0_106,plain,
tptp1 != tptp3,
inference(fof_simplification,[status(thm)],[sos_59]) ).
cnf(c_0_107,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_96,c_0_89]) ).
cnf(c_0_108,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_97,c_0_98]) ).
cnf(c_0_109,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_99,c_0_77]),c_0_100])]) ).
cnf(c_0_110,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_101,c_0_102]) ).
cnf(c_0_111,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_103,c_0_104]) ).
cnf(c_0_112,negated_conjecture,
( ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1)
| X1 = tptp1 ),
inference(spm,[status(thm)],[c_0_96,c_0_95]) ).
cnf(c_0_113,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),esk1_1(esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_97,c_0_105]) ).
fof(c_0_114,plain,
tptp1 != tptp3,
inference(fof_nnf,[status(thm)],[c_0_106]) ).
cnf(c_0_115,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_107,c_0_108]) ).
cnf(c_0_116,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_109,c_0_110]),c_0_111])]) ).
cnf(c_0_117,negated_conjecture,
esk1_1(esk19_1(esk17_1(esk20_0))) = tptp1,
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_119,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO006+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:44:35 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
% 5.69/1.26 % Version: 3.5.1
% 5.69/1.26 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.69/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.69/1.26 % Starting new_bool_3 with 300s (1) cores
% 5.69/1.26 % Starting new_bool_1 with 300s (1) cores
% 5.69/1.26 % Starting sh5l with 300s (1) cores
% 5.69/1.26 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 482047 completed with status 0
% 5.69/1.26 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.69/1.26 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.69/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.69/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.69/1.26 % No SInE strategy applied
% 5.69/1.26 % Search class: FGHSF-FFMM32-SFFFFFNN
% 5.69/1.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.69/1.26 % Starting SubtermCWHack with 136s (1) cores
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 5.69/1.26 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 5.69/1.26 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 5.69/1.26 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 482053 completed with status 0
% 5.69/1.26 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 5.69/1.26 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.69/1.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.69/1.26 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.69/1.26 % No SInE strategy applied
% 5.69/1.26 % Search class: FGHSF-FFMM32-SFFFFFNN
% 5.69/1.26 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 5.69/1.26 % Starting SubtermCWHack with 136s (1) cores
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.69/1.26 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 5.69/1.26 % Preprocessing time : 0.003 s
% 5.69/1.26 % Presaturation interreduction done
% 5.69/1.26
% 5.69/1.26 % Proof found!
% 5.69/1.26 % SZS status Theorem
% 5.69/1.26 % SZS output start CNFRefutation
% See solution above
% 5.69/1.26 % Parsed axioms : 64
% 5.69/1.26 % Removed by relevancy pruning/SinE : 0
% 5.69/1.26 % Initial clauses : 102
% 5.69/1.26 % Removed in clause preprocessing : 0
% 5.69/1.26 % Initial clauses in saturation : 102
% 5.69/1.26 % Processed clauses : 5134
% 5.69/1.26 % ...of these trivial : 229
% 5.69/1.26 % ...subsumed : 1007
% 5.69/1.26 % ...remaining for further processing : 3898
% 5.69/1.26 % Other redundant clauses eliminated : 0
% 5.69/1.26 % Clauses deleted for lack of memory : 0
% 5.69/1.26 % Backward-subsumed : 17
% 5.69/1.26 % Backward-rewritten : 751
% 5.69/1.26 % Generated clauses : 12841
% 5.69/1.26 % ...of the previous two non-redundant : 11542
% 5.69/1.26 % ...aggressively subsumed : 0
% 5.69/1.26 % Contextual simplify-reflections : 11
% 5.69/1.26 % Paramodulations : 12841
% 5.69/1.26 % Factorizations : 0
% 5.69/1.26 % NegExts : 0
% 5.69/1.26 % Equation resolutions : 0
% 5.69/1.26 % Disequality decompositions : 0
% 5.69/1.26 % Total rewrite steps : 5763
% 5.69/1.26 % ...of those cached : 5301
% 5.69/1.26 % Propositional unsat checks : 0
% 5.69/1.26 % Propositional check models : 0
% 5.69/1.26 % Propositional check unsatisfiable : 0
% 5.69/1.26 % Propositional clauses : 0
% 5.69/1.26 % Propositional clauses after purity: 0
% 5.69/1.26 % Propositional unsat core size : 0
% 5.69/1.26 % Propositional preprocessing time : 0.000
% 5.69/1.26 % Propositional encoding time : 0.000
% 5.69/1.26 % Propositional solver time : 0.000
% 5.69/1.26 % Success case prop preproc time : 0.000
% 5.69/1.26 % Success case prop encoding time : 0.000
% 5.69/1.26 % Success case prop solver time : 0.000
% 5.69/1.26 % Current number of processed clauses : 3028
% 5.69/1.26 % Positive orientable unit clauses : 1008
% 5.69/1.26 % Positive unorientable unit clauses: 0
% 5.69/1.26 % Negative unit clauses : 896
% 5.69/1.26 % Non-unit-clauses : 1124
% 5.69/1.26 % Current number of unprocessed clauses: 5923
% 5.69/1.26 % ...number of literals in the above : 15465
% 5.69/1.26 % Current number of archived formulas : 0
% 5.69/1.26 % Current number of archived clauses : 870
% 5.69/1.26 % Clause-clause subsumption calls (NU) : 171086
% 5.69/1.26 % Rec. Clause-clause subsumption calls : 111077
% 5.69/1.26 % Non-unit clause-clause subsumptions : 438
% 5.69/1.26 % Unit Clause-clause subsumption calls : 66663
% 5.69/1.26 % Rewrite failures with RHS unbound : 0
% 5.69/1.26 % BW rewrite match attempts : 3507
% 5.69/1.26 % BW rewrite match successes : 115
% 5.69/1.26 % Condensation attempts : 0
% 5.69/1.26 % Condensation successes : 0
% 5.69/1.26 % Termbank termtop insertions : 420841
% 5.69/1.26 % Search garbage collected termcells : 1824
% 5.69/1.26
% 5.69/1.26 % -------------------------------------------------
% 5.69/1.26 % User time : 0.772 s
% 5.69/1.26 % System time : 0.041 s
% 5.69/1.26 % Total time : 0.813 s
% 5.69/1.26 % Maximum resident set size: 4012 pages
% 5.69/1.26
% 5.69/1.26 % -------------------------------------------------
% 5.69/1.26 % User time : 3.627 s
% 5.69/1.26 % System time : 0.159 s
% 5.69/1.26 % Total time : 3.786 s
% 5.69/1.26 % Maximum resident set size: 4864 pages
% 5.69/1.26 % E exiting
%------------------------------------------------------------------------------