%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO006+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:01:52 PM UTC 2026
% Result : Theorem 2.86s 2.79s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 120 ( 48 unt; 0 def)
% Number of atoms : 333 ( 25 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 354 ( 141 ~; 135 |; 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 : 180 ( 7 sgn 91 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
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] :
( occurrence_of(X101,X102)
& subactivity_occurrence(X100,X101)
& root(X100,X102) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( occurrence_of(X108,X109)
& root_occ(X106,X108)
& root_occ(X107,X108) )
=> X106 = X107 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164] :
( occurrence_of(X163,tptp4)
& root_occ(X163,X162)
& occurrence_of(X164,tptp3)
& leaf_occ(X164,X162)
& next_subocc(X163,X164,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_62,axiom,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> ? [X167] :
( occurrence_of(X167,tptp1)
& next_subocc(X165,X167,tptp0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_62) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [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] :
( occurrence_of(X73,X70)
& subactivity_occurrence(X71,X73)
& subactivity_occurrence(X72,X73) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_39,axiom,
! [X122,X123,X124,X125,X126] :
( ( next_subocc(X122,X123,X125)
& next_subocc(X122,X124,X125)
& occurrence_of(X126,X125)
& subactivity_occurrence(X124,X126)
& subactivity_occurrence(X123,X126) )
=> X123 = X124 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_39) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity(X1)
& activity_occurrence(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( activity(X4)
& occurrence_of(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( occurrence_of(X104,X105)
& subactivity_occurrence(X103,X104)
& leaf(X103,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] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
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,
! [X424,X425] :
( ( root(esk12_2(X424,X425),X424)
| ~ occurrence_of(X425,X424)
| atomic(X424) )
& ( subactivity_occurrence(esk12_2(X424,X425),X425)
| ~ occurrence_of(X425,X424)
| atomic(X424) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_22,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_23,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_24,plain,
! [X447,X448,X450,X451,X452] :
( ( occurrence_of(X448,esk14_2(X447,X448))
| ~ root_occ(X447,X448) )
& ( subactivity_occurrence(X447,X448)
| ~ root_occ(X447,X448) )
& ( root(X447,esk14_2(X447,X448))
| ~ root_occ(X447,X448) )
& ( ~ occurrence_of(X451,X452)
| ~ subactivity_occurrence(X450,X451)
| ~ root(X450,X452)
| root_occ(X450,X451) ) ),
inference(distribute,[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_25,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X459,X460,X461,X462] :
( ~ occurrence_of(X461,X462)
| ~ root_occ(X459,X461)
| ~ root_occ(X460,X461)
| X459 = X460 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])]) ).
cnf(c_0_32,negated_conjecture,
( root_occ(esk12_2(tptp0,esk20_0),esk20_0)
| ~ root(esk12_2(tptp0,esk20_0),X1)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27]) ).
fof(c_0_34,plain,
! [X515] :
( ( occurrence_of(esk17_1(X515),tptp4)
| ~ occurrence_of(X515,tptp0) )
& ( root_occ(esk17_1(X515),X515)
| ~ occurrence_of(X515,tptp0) )
& ( occurrence_of(esk18_1(X515),tptp3)
| ~ occurrence_of(X515,tptp0) )
& ( leaf_occ(esk18_1(X515),X515)
| ~ occurrence_of(X515,tptp0) )
& ( next_subocc(esk17_1(X515),esk18_1(X515),tptp0)
| ~ occurrence_of(X515,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).
fof(c_0_35,plain,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
cnf(c_0_36,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
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_32,c_0_26]),c_0_33])]) ).
cnf(c_0_38,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_39,plain,
! [X421,X422] :
( ( occurrence_of(esk11_2(X421,X422),X421)
| ~ root(X422,X421)
| atomic(X421) )
& ( subactivity_occurrence(X422,esk11_2(X421,X422))
| ~ root(X422,X421)
| atomic(X421) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk12_2(tptp0,esk20_0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(esk20_0,X2) ),
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_26]) ).
fof(c_0_42,plain,
! [X401,X402,X403,X404,X405,X406,X407] :
( ( min_precedes(X401,X402,X403)
| ~ next_subocc(X401,X402,X403) )
& ( ~ min_precedes(X401,X404,X403)
| ~ min_precedes(X404,X402,X403)
| ~ next_subocc(X401,X402,X403) )
& ( min_precedes(X405,esk8_3(X405,X406,X407),X407)
| ~ min_precedes(X405,X406,X407)
| next_subocc(X405,X406,X407) )
& ( min_precedes(esk8_3(X405,X406,X407),X406,X407)
| ~ min_precedes(X405,X406,X407)
| next_subocc(X405,X406,X407) ) ),
inference(distribute,[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,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_44,plain,
! [X165,X166] :
( ( occurrence_of(X166,tptp0)
& subactivity_occurrence(X165,X166)
& arboreal(X165)
& ~ leaf_occ(X165,X166) )
=> ? [X167] :
( occurrence_of(X167,tptp1)
& next_subocc(X165,X167,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_62]) ).
cnf(c_0_45,plain,
( occurrence_of(esk11_2(X1,X2),X1)
| atomic(X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( esk12_2(tptp0,esk20_0) = esk17_1(esk20_0)
| ~ occurrence_of(esk20_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X467,X468,X469,X470] :
( ~ occurrence_of(X467,X469)
| ~ leaf_occ(X468,X467)
| ~ min_precedes(X468,X470,X469) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])]) ).
cnf(c_0_48,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(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_26]) ).
fof(c_0_50,plain,
! [X518,X519] :
( ( occurrence_of(esk19_1(X518),tptp1)
| ~ occurrence_of(X519,tptp0)
| ~ subactivity_occurrence(X518,X519)
| ~ arboreal(X518)
| leaf_occ(X518,X519) )
& ( next_subocc(X518,esk19_1(X518),tptp0)
| ~ occurrence_of(X519,tptp0)
| ~ subactivity_occurrence(X518,X519)
| ~ arboreal(X518)
| leaf_occ(X518,X519) ) ),
inference(distribute,[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_44])])])])])]) ).
cnf(c_0_51,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk12_2(tptp0,esk20_0)),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_33]),c_0_27]) ).
cnf(c_0_52,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(spm,[status(thm)],[c_0_46,c_0_26]) ).
fof(c_0_53,plain,
! [X353,X354] :
( ( ~ arboreal(X353)
| atomic(X354)
| ~ occurrence_of(X353,X354) )
& ( ~ atomic(X354)
| arboreal(X353)
| ~ occurrence_of(X353,X354) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_54,plain,
( occurrence_of(esk17_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_55,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,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,plain,
( next_subocc(X1,esk19_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
occurrence_of(esk11_2(tptp0,esk17_1(esk20_0)),tptp0),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_59,plain,
( subactivity_occurrence(X1,esk11_2(X2,X1))
| atomic(X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_60,negated_conjecture,
root(esk17_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_33,c_0_52]) ).
cnf(c_0_61,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
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_26]) ).
cnf(c_0_63,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_64,negated_conjecture,
( ~ leaf_occ(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( leaf_occ(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| next_subocc(X1,esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk11_2(tptp0,esk17_1(esk20_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,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_27]) ).
cnf(c_0_67,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_68,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk11_2(tptp0,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_64,c_0_58]) ).
fof(c_0_69,plain,
! [X417,X418,X419] :
( ( occurrence_of(esk10_3(X417,X418,X419),X417)
| ~ min_precedes(X418,X419,X417) )
& ( subactivity_occurrence(X418,esk10_3(X417,X418,X419))
| ~ min_precedes(X418,X419,X417) )
& ( subactivity_occurrence(X419,esk10_3(X417,X418,X419))
| ~ min_precedes(X418,X419,X417) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
cnf(c_0_70,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_65,c_0_66]),c_0_67])]),c_0_68]) ).
cnf(c_0_71,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_72,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_70]) ).
cnf(c_0_73,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_71,c_0_72]) ).
cnf(c_0_74,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ root(esk17_1(esk20_0),X1)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_73]) ).
cnf(c_0_76,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_74,c_0_72]) ).
cnf(c_0_77,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_75,c_0_60]),c_0_76])]) ).
fof(c_0_78,plain,
! [X475,X476,X477,X478,X479] :
( ~ next_subocc(X475,X476,X478)
| ~ next_subocc(X475,X477,X478)
| ~ occurrence_of(X479,X478)
| ~ subactivity_occurrence(X477,X479)
| ~ subactivity_occurrence(X476,X479)
| X476 = X477 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_39])]) ).
cnf(c_0_79,negated_conjecture,
( X1 = esk17_1(esk20_0)
| ~ root_occ(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_77]) ).
cnf(c_0_80,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_76]) ).
cnf(c_0_81,plain,
( occurrence_of(esk19_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_82,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_83,plain,
! [X337,X338] :
( ( activity(X337)
| ~ occurrence_of(X338,X337) )
& ( activity_occurrence(X338)
| ~ occurrence_of(X338,X337) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])]) ).
cnf(c_0_84,plain,
( occurrence_of(esk18_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_85,plain,
( X2 = X4
| ~ next_subocc(X1,X2,X3)
| ~ next_subocc(X1,X4,X3)
| ~ occurrence_of(X5,X3)
| ~ subactivity_occurrence(X4,X5)
| ~ subactivity_occurrence(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_86,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_87,negated_conjecture,
( esk17_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk17_1(esk20_0)
| ~ occurrence_of(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))),X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( leaf_occ(X1,esk20_0)
| occurrence_of(esk19_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk20_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_26]) ).
cnf(c_0_89,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_82,c_0_41]) ).
cnf(c_0_90,negated_conjecture,
~ leaf_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_64,c_0_26]) ).
fof(c_0_91,plain,
! [X341,X342,X343] :
( ~ occurrence_of(X341,X342)
| ~ occurrence_of(X341,X343)
| X342 = X343 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
fof(c_0_92,plain,
! [X339] :
( ( activity(esk1_1(X339))
| ~ activity_occurrence(X339) )
& ( occurrence_of(X339,esk1_1(X339))
| ~ activity_occurrence(X339) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])]) ).
cnf(c_0_93,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,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_84,c_0_76]) ).
cnf(c_0_95,negated_conjecture,
( X1 = esk19_1(esk17_1(esk20_0))
| ~ subactivity_occurrence(esk19_1(esk17_1(esk20_0)),X2)
| ~ subactivity_occurrence(X1,X2)
| ~ next_subocc(esk17_1(esk20_0),X1,tptp0)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_85,c_0_70]) ).
cnf(c_0_96,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_86,c_0_72]) ).
cnf(c_0_97,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_87,c_0_76]) ).
fof(c_0_98,plain,
! [X453,X454,X456,X457,X458] :
( ( occurrence_of(X454,esk15_2(X453,X454))
| ~ leaf_occ(X453,X454) )
& ( subactivity_occurrence(X453,X454)
| ~ leaf_occ(X453,X454) )
& ( leaf(X453,esk15_2(X453,X454))
| ~ leaf_occ(X453,X454) )
& ( ~ occurrence_of(X457,X458)
| ~ subactivity_occurrence(X456,X457)
| ~ leaf(X456,X458)
| leaf_occ(X456,X457) ) ),
inference(distribute,[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_99,plain,
( leaf_occ(esk18_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_100,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_88,c_0_89]),c_0_67])]),c_0_90]) ).
cnf(c_0_101,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_102,plain,
( occurrence_of(X1,esk1_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_103,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_93,c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( X1 = esk19_1(esk17_1(esk20_0))
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0))))
| ~ next_subocc(esk17_1(esk20_0),X1,tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_76]),c_0_96])]) ).
cnf(c_0_105,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)],[inference(spm,[status(thm)],[c_0_43,c_0_76]),c_0_97]) ).
cnf(c_0_106,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,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_99,c_0_76]) ).
cnf(c_0_108,negated_conjecture,
activity_occurrence(esk19_1(esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_93,c_0_100]) ).
cnf(c_0_109,negated_conjecture,
( X1 = tptp3
| ~ occurrence_of(esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))),X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_94]) ).
cnf(c_0_110,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_102,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
( esk18_1(esk10_3(tptp0,esk17_1(esk20_0),esk19_1(esk17_1(esk20_0)))) = esk19_1(esk17_1(esk20_0))
| ~ 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_104,c_0_105]) ).
cnf(c_0_112,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_106,c_0_107]) ).
cnf(c_0_113,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk19_1(esk17_1(esk20_0)),X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_100]) ).
cnf(c_0_114,negated_conjecture,
occurrence_of(esk19_1(esk17_1(esk20_0)),esk1_1(esk19_1(esk17_1(esk20_0)))),
inference(spm,[status(thm)],[c_0_102,c_0_108]) ).
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_109,c_0_110]) ).
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)],[c_0_111,c_0_112])]) ).
cnf(c_0_117,negated_conjecture,
esk1_1(esk19_1(esk17_1(esk20_0))) = tptp1,
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_118,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_59]) ).
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
% 0.00/0.07 % Problem : PRO006+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 5 01:29:16 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 2.86/2.79 % Version : CSE_E---1.7
% 2.86/2.79 % Problem : theBenchmark.p
% 2.86/2.79 % SZS status Theorem for theBenchmark.p
% 2.86/2.79 % SZS output start CNFRefutation
% See solution above
% 2.96/2.80 % Total time : 2.362s
%------------------------------------------------------------------------------