%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO006+2 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n014.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 8.49s 6.34s
% Output : CNFRefutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 126 ( 56 unt; 0 def)
% Number of atoms : 336 ( 24 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 350 ( 140 ~; 139 |; 54 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 171 ( 7 sgn 83 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_30,axiom,
! [X92,X93] :
( ( occurrence_of(X93,X92)
& ~ atomic(X92) )
=> ? [X94] :
( root(X94,X92)
& subactivity_occurrence(X94,X93) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(goals,conjecture,
~ ? [X102] : occurrence_of(X102,tptp0),
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_10,axiom,
! [X33,X34] :
( root_occ(X33,X34)
<=> ? [X35] :
( occurrence_of(X34,X35)
& subactivity_occurrence(X33,X34)
& root(X33,X35) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(sos_02,axiom,
! [X8,X9,X10,X11] :
( ( occurrence_of(X10,X11)
& root_occ(X8,X10)
& root_occ(X9,X10) )
=> X8 = X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_32,axiom,
! [X96] :
( occurrence_of(X96,tptp0)
=> ? [X97,X98] :
( occurrence_of(X97,tptp4)
& root_occ(X97,X96)
& occurrence_of(X98,tptp3)
& leaf_occ(X98,X96)
& next_subocc(X97,X98,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_04,axiom,
! [X16,X17,X18] :
( next_subocc(X16,X17,X18)
<=> ( min_precedes(X16,X17,X18)
& ~ ? [X19] :
( min_precedes(X16,X19,X18)
& min_precedes(X19,X17,X18) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(sos_45,axiom,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& subactivity_occurrence(X99,X100)
& arboreal(X99)
& ~ leaf_occ(X99,X100) )
=> ? [X101] :
( occurrence_of(X101,tptp1)
& next_subocc(X99,X101,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(sos_21,axiom,
! [X61,X62,X63] :
( ( occurrence_of(X61,X63)
& leaf_occ(X62,X61) )
=> ~ ? [X64] : min_precedes(X62,X64,X63) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(sos_13,axiom,
! [X41,X42] :
( occurrence_of(X41,X42)
=> ( arboreal(X41)
<=> atomic(X42) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(sos_35,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_24,axiom,
! [X71,X72,X73] :
( min_precedes(X72,X73,X71)
=> ? [X74] :
( occurrence_of(X74,X71)
& subactivity_occurrence(X72,X74)
& subactivity_occurrence(X73,X74) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(sos_29,axiom,
! [X90,X91] :
( occurrence_of(X91,X90)
=> ( activity(X90)
& activity_occurrence(X91) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(sos_28,axiom,
! [X86,X87,X88,X89] :
( ( occurrence_of(X87,X86)
& arboreal(X88)
& arboreal(X89)
& subactivity_occurrence(X88,X87)
& subactivity_occurrence(X89,X87) )
=> ( min_precedes(X88,X89,X86)
| min_precedes(X89,X88,X86)
| X88 = X89 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(sos_38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(sos_11,axiom,
! [X36,X37] :
( leaf_occ(X36,X37)
<=> ? [X38] :
( occurrence_of(X37,X38)
& subactivity_occurrence(X36,X37)
& leaf(X36,X38) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_22,axiom,
! [X65,X66,X67] :
( ( occurrence_of(X65,X66)
& occurrence_of(X65,X67) )
=> X66 = X67 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_18,axiom,
! [X53] :
( activity_occurrence(X53)
=> ? [X54] :
( activity(X54)
& occurrence_of(X53,X54) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_36,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(sos_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_20,plain,
! [X92,X93] :
( ( occurrence_of(X93,X92)
& ~ atomic(X92) )
=> ? [X94] :
( root(X94,X92)
& subactivity_occurrence(X94,X93) ) ),
inference(fof_simplification,[status(thm)],[sos_30]) ).
fof(c_0_21,negated_conjecture,
~ ~ ? [X102] : occurrence_of(X102,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_22,plain,
! [X313,X314] :
( ( root(esk14_2(X313,X314),X313)
| ~ occurrence_of(X314,X313)
| atomic(X313) )
& ( subactivity_occurrence(esk14_2(X313,X314),X314)
| ~ occurrence_of(X314,X313)
| atomic(X313) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_23,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_24,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_25,plain,
! [X241,X242,X244,X245,X246] :
( ( occurrence_of(X242,esk2_2(X241,X242))
| ~ root_occ(X241,X242) )
& ( subactivity_occurrence(X241,X242)
| ~ root_occ(X241,X242) )
& ( root(X241,esk2_2(X241,X242))
| ~ root_occ(X241,X242) )
& ( ~ occurrence_of(X245,X246)
| ~ subactivity_occurrence(X244,X245)
| ~ root(X244,X246)
| root_occ(X244,X245) ) ),
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_10])])])])])]) ).
cnf(c_0_26,plain,
( subactivity_occurrence(esk14_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
occurrence_of(esk18_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_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_30,negated_conjecture,
subactivity_occurrence(esk14_2(tptp0,esk18_0),esk18_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
( root(esk14_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_32,plain,
! [X212,X213,X214,X215] :
( ~ occurrence_of(X214,X215)
| ~ root_occ(X212,X214)
| ~ root_occ(X213,X214)
| X212 = X213 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_33,negated_conjecture,
( root_occ(esk14_2(tptp0,esk18_0),esk18_0)
| ~ root(esk14_2(tptp0,esk18_0),X1)
| ~ occurrence_of(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
root(esk14_2(tptp0,esk18_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_27]),c_0_28]) ).
fof(c_0_35,plain,
! [X317] :
( ( occurrence_of(esk15_1(X317),tptp4)
| ~ occurrence_of(X317,tptp0) )
& ( root_occ(esk15_1(X317),X317)
| ~ occurrence_of(X317,tptp0) )
& ( occurrence_of(esk16_1(X317),tptp3)
| ~ occurrence_of(X317,tptp0) )
& ( leaf_occ(esk16_1(X317),X317)
| ~ occurrence_of(X317,tptp0) )
& ( next_subocc(esk15_1(X317),esk16_1(X317),tptp0)
| ~ occurrence_of(X317,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
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_32]) ).
cnf(c_0_37,negated_conjecture,
root_occ(esk14_2(tptp0,esk18_0),esk18_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,
( root_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X220,X221,X222,X223,X224,X225,X226] :
( ( min_precedes(X220,X221,X222)
| ~ next_subocc(X220,X221,X222) )
& ( ~ min_precedes(X220,X223,X222)
| ~ min_precedes(X223,X221,X222)
| ~ next_subocc(X220,X221,X222) )
& ( min_precedes(X224,esk1_3(X224,X225,X226),X226)
| ~ min_precedes(X224,X225,X226)
| next_subocc(X224,X225,X226) )
& ( min_precedes(esk1_3(X224,X225,X226),X225,X226)
| ~ min_precedes(X224,X225,X226)
| next_subocc(X224,X225,X226) ) ),
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_04])])])])])]) ).
cnf(c_0_40,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& subactivity_occurrence(X99,X100)
& arboreal(X99)
& ~ leaf_occ(X99,X100) )
=> ? [X101] :
( occurrence_of(X101,tptp1)
& next_subocc(X99,X101,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk14_2(tptp0,esk18_0)
| ~ root_occ(X1,esk18_0)
| ~ occurrence_of(esk18_0,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
root_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_38,c_0_27]) ).
cnf(c_0_44,plain,
( occurrence_of(X1,esk2_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_45,plain,
! [X282,X283,X284,X285] :
( ~ occurrence_of(X282,X284)
| ~ leaf_occ(X283,X282)
| ~ min_precedes(X283,X285,X284) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
cnf(c_0_46,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_40,c_0_27]) ).
fof(c_0_48,plain,
! [X320,X321] :
( ( occurrence_of(esk17_1(X320),tptp1)
| ~ occurrence_of(X321,tptp0)
| ~ subactivity_occurrence(X320,X321)
| ~ arboreal(X320)
| leaf_occ(X320,X321) )
& ( next_subocc(X320,esk17_1(X320),tptp0)
| ~ occurrence_of(X321,tptp0)
| ~ subactivity_occurrence(X320,X321)
| ~ arboreal(X320)
| leaf_occ(X320,X321) ) ),
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_41])])])])])]) ).
cnf(c_0_49,negated_conjecture,
( esk14_2(tptp0,esk18_0) = esk15_1(esk18_0)
| ~ occurrence_of(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
occurrence_of(esk18_0,esk2_2(esk14_2(tptp0,esk18_0),esk18_0)),
inference(spm,[status(thm)],[c_0_44,c_0_37]) ).
fof(c_0_51,plain,
! [X255,X256] :
( ( ~ arboreal(X255)
| atomic(X256)
| ~ occurrence_of(X255,X256) )
& ( ~ atomic(X256)
| arboreal(X255)
| ~ occurrence_of(X255,X256) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])]) ).
cnf(c_0_52,plain,
( occurrence_of(esk15_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_53,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,plain,
( next_subocc(X1,esk17_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_56,negated_conjecture,
esk14_2(tptp0,esk18_0) = esk15_1(esk18_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
occurrence_of(esk15_1(esk18_0),tptp4),
inference(spm,[status(thm)],[c_0_52,c_0_27]) ).
cnf(c_0_59,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_60,negated_conjecture,
( ~ leaf_occ(esk15_1(esk18_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( next_subocc(X1,esk17_1(X1),tptp0)
| leaf_occ(X1,esk18_0)
| ~ subactivity_occurrence(X1,esk18_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_27]) ).
cnf(c_0_62,negated_conjecture,
subactivity_occurrence(esk15_1(esk18_0),esk18_0),
inference(rw,[status(thm)],[c_0_30,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
arboreal(esk15_1(esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_64,negated_conjecture,
~ leaf_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_60,c_0_27]) ).
fof(c_0_65,plain,
! [X292,X293,X294] :
( ( occurrence_of(esk9_3(X292,X293,X294),X292)
| ~ min_precedes(X293,X294,X292) )
& ( subactivity_occurrence(X293,esk9_3(X292,X293,X294))
| ~ min_precedes(X293,X294,X292) )
& ( subactivity_occurrence(X294,esk9_3(X292,X293,X294))
| ~ min_precedes(X293,X294,X292) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_66,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]),c_0_64]) ).
cnf(c_0_67,plain,
( subactivity_occurrence(X1,esk9_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_68,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_46,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
subactivity_occurrence(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_70,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( root_occ(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ root(esk15_1(esk18_0),X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
root(esk15_1(esk18_0),tptp0),
inference(rw,[status(thm)],[c_0_34,c_0_56]) ).
cnf(c_0_73,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0),
inference(spm,[status(thm)],[c_0_70,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
root_occ(esk15_1(esk18_0),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_75,negated_conjecture,
( X1 = esk15_1(esk18_0)
| ~ root_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_74]) ).
cnf(c_0_76,negated_conjecture,
root_occ(esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_38,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
( esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_78,negated_conjecture,
esk15_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk15_1(esk18_0),
inference(spm,[status(thm)],[c_0_77,c_0_73]) ).
cnf(c_0_79,plain,
( occurrence_of(esk17_1(X1),tptp1)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_80,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_73]),c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( leaf_occ(X1,esk18_0)
| occurrence_of(esk17_1(X1),tptp1)
| ~ subactivity_occurrence(X1,esk18_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_27]) ).
cnf(c_0_82,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(spm,[status(thm)],[c_0_46,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
( leaf_occ(esk15_1(esk18_0),esk18_0)
| occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_62]),c_0_63])]) ).
fof(c_0_84,plain,
! [X311,X312] :
( ( activity(X311)
| ~ occurrence_of(X312,X311) )
& ( activity_occurrence(X312)
| ~ occurrence_of(X312,X311) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_85,plain,
( occurrence_of(esk16_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_86,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))),tptp0),
inference(spm,[status(thm)],[c_0_70,c_0_82]) ).
fof(c_0_87,plain,
! [X307,X308,X309,X310] :
( ~ occurrence_of(X308,X307)
| ~ arboreal(X309)
| ~ arboreal(X310)
| ~ subactivity_occurrence(X309,X308)
| ~ subactivity_occurrence(X310,X308)
| min_precedes(X309,X310,X307)
| min_precedes(X310,X309,X307)
| X309 = X310 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).
cnf(c_0_88,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_89,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1),
inference(sr,[status(thm)],[c_0_83,c_0_64]) ).
cnf(c_0_90,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
fof(c_0_91,plain,
! [X247,X248,X250,X251,X252] :
( ( occurrence_of(X248,esk3_2(X247,X248))
| ~ leaf_occ(X247,X248) )
& ( subactivity_occurrence(X247,X248)
| ~ leaf_occ(X247,X248) )
& ( leaf(X247,esk3_2(X247,X248))
| ~ leaf_occ(X247,X248) )
& ( ~ occurrence_of(X251,X252)
| ~ subactivity_occurrence(X250,X251)
| ~ leaf(X250,X252)
| leaf_occ(X250,X251) ) ),
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_11])])])])])]) ).
cnf(c_0_92,plain,
( leaf_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_93,plain,
! [X286,X287,X288] :
( ~ occurrence_of(X286,X287)
| ~ occurrence_of(X286,X288)
| X287 = X288 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).
fof(c_0_94,plain,
! [X274] :
( ( activity(esk7_1(X274))
| ~ activity_occurrence(X274) )
& ( occurrence_of(X274,esk7_1(X274))
| ~ activity_occurrence(X274) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])]) ).
cnf(c_0_95,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,negated_conjecture,
occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))),tptp3),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,plain,
( min_precedes(X3,X4,X2)
| min_precedes(X4,X3,X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ arboreal(X3)
| ~ arboreal(X4)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_98,negated_conjecture,
subactivity_occurrence(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_88,c_0_68]) ).
cnf(c_0_99,negated_conjecture,
arboreal(esk17_1(esk15_1(esk18_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_89]),c_0_90])]) ).
cnf(c_0_100,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_101,negated_conjecture,
leaf_occ(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_92,c_0_73]) ).
cnf(c_0_102,negated_conjecture,
occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp3),
inference(spm,[status(thm)],[c_0_85,c_0_73]) ).
cnf(c_0_103,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_36]) ).
cnf(c_0_104,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_105,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_106,plain,
( occurrence_of(X1,esk7_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_107,negated_conjecture,
activity_occurrence(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))))),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( X1 = esk17_1(esk15_1(esk18_0))
| min_precedes(X1,esk17_1(esk15_1(esk18_0)),X2)
| min_precedes(esk17_1(esk15_1(esk18_0)),X1,X2)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ arboreal(X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_109,negated_conjecture,
subactivity_occurrence(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_110,negated_conjecture,
arboreal(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_102]),c_0_103])]) ).
cnf(c_0_111,negated_conjecture,
( ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0)
| ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_104,c_0_80]) ).
cnf(c_0_112,negated_conjecture,
( ~ min_precedes(X1,esk17_1(esk15_1(esk18_0)),tptp0)
| ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_104,c_0_66]) ).
cnf(c_0_113,negated_conjecture,
activity_occurrence(esk17_1(esk15_1(esk18_0))),
inference(spm,[status(thm)],[c_0_95,c_0_89]) ).
cnf(c_0_114,negated_conjecture,
( X1 = tptp3
| ~ occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))),X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_96]) ).
cnf(c_0_115,negated_conjecture,
occurrence_of(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))),esk7_1(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))))))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_116,negated_conjecture,
( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
| min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),X1)
| min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
cnf(c_0_117,negated_conjecture,
~ min_precedes(esk17_1(esk15_1(esk18_0)),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),tptp0),
inference(spm,[status(thm)],[c_0_111,c_0_68]) ).
cnf(c_0_118,negated_conjecture,
~ min_precedes(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_112,c_0_82]) ).
cnf(c_0_119,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_89]) ).
cnf(c_0_120,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),esk7_1(esk17_1(esk15_1(esk18_0)))),
inference(spm,[status(thm)],[c_0_106,c_0_113]) ).
cnf(c_0_121,negated_conjecture,
esk7_1(esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))))) = tptp3,
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_73]),c_0_117]),c_0_118]) ).
cnf(c_0_123,negated_conjecture,
esk7_1(esk17_1(esk15_1(esk18_0))) = tptp1,
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_124,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122]),c_0_123]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PRO006+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n014.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 01:29:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 8.49/6.34 % Version : CSE_E---1.7
% 8.49/6.34 % Problem : theBenchmark.p
% 8.49/6.34 % SZS status Theorem for theBenchmark.p
% 8.49/6.34 % SZS output start CNFRefutation
% See solution above
% 8.49/6.36 % Total time : 5.372s
%------------------------------------------------------------------------------