%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO004+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 : n009.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 05:01:51 PM UTC 2026
% Result : Theorem 1.49s 1.78s
% Output : CNFRefutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 37 unt; 0 def)
% Number of atoms : 290 ( 19 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 318 ( 127 ~; 119 |; 54 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 161 ( 5 sgn 87 !; 13 ?)
% 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,
~ ? [X106] : occurrence_of(X106,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_47,axiom,
! [X103,X104] :
( ( occurrence_of(X104,tptp0)
& subactivity_occurrence(X103,X104)
& arboreal(X103)
& ~ leaf_occ(X103,X104) )
=> ? [X105] :
( occurrence_of(X105,tptp1)
& next_subocc(X103,X105,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
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_45,axiom,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& subactivity_occurrence(X99,X100)
& arboreal(X99)
& ~ leaf_occ(X99,X100) )
=> root_occ(X99,X100) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
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_20,axiom,
! [X57,X58,X59] :
( ( occurrence_of(X57,X59)
& root_occ(X58,X57) )
=> ~ ? [X60] : min_precedes(X60,X58,X59) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(sos_03,axiom,
! [X12,X13,X14,X15] :
( ( occurrence_of(X14,X15)
& ~ atomic(X15)
& leaf_occ(X12,X14)
& leaf_occ(X13,X14) )
=> X12 = X13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_38,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
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_42,axiom,
tptp1 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(c_0_18,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_19,negated_conjecture,
~ ~ ? [X106] : occurrence_of(X106,tptp0),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_20,plain,
! [X321,X322] :
( ( root(esk14_2(X321,X322),X321)
| ~ occurrence_of(X322,X321)
| atomic(X321) )
& ( subactivity_occurrence(esk14_2(X321,X322),X322)
| ~ occurrence_of(X322,X321)
| atomic(X321) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
fof(c_0_21,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_22,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_23,plain,
! [X249,X250,X252,X253,X254] :
( ( occurrence_of(X250,esk2_2(X249,X250))
| ~ root_occ(X249,X250) )
& ( subactivity_occurrence(X249,X250)
| ~ root_occ(X249,X250) )
& ( root(X249,esk2_2(X249,X250))
| ~ root_occ(X249,X250) )
& ( ~ occurrence_of(X253,X254)
| ~ subactivity_occurrence(X252,X253)
| ~ root(X252,X254)
| root_occ(X252,X253) ) ),
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_24,plain,
( subactivity_occurrence(esk14_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
occurrence_of(esk18_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
subactivity_occurrence(esk14_2(tptp0,esk18_0),esk18_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_29,plain,
( root(esk14_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_30,plain,
! [X220,X221,X222,X223] :
( ~ occurrence_of(X222,X223)
| ~ root_occ(X220,X222)
| ~ root_occ(X221,X222)
| X220 = X221 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_31,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_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
root(esk14_2(tptp0,esk18_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_25]),c_0_26]) ).
fof(c_0_33,plain,
! [X325] :
( ( occurrence_of(esk15_1(X325),tptp4)
| ~ occurrence_of(X325,tptp0) )
& ( root_occ(esk15_1(X325),X325)
| ~ occurrence_of(X325,tptp0) )
& ( occurrence_of(esk16_1(X325),tptp3)
| ~ occurrence_of(X325,tptp0) )
& ( leaf_occ(esk16_1(X325),X325)
| ~ occurrence_of(X325,tptp0) )
& ( next_subocc(esk15_1(X325),esk16_1(X325),tptp0)
| ~ occurrence_of(X325,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
cnf(c_0_34,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,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_31,c_0_25]),c_0_32])]) ).
cnf(c_0_36,plain,
( root_occ(esk15_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_37,plain,
! [X228,X229,X230,X231,X232,X233,X234] :
( ( min_precedes(X228,X229,X230)
| ~ next_subocc(X228,X229,X230) )
& ( ~ min_precedes(X228,X231,X230)
| ~ min_precedes(X231,X229,X230)
| ~ next_subocc(X228,X229,X230) )
& ( min_precedes(X232,esk1_3(X232,X233,X234),X234)
| ~ min_precedes(X232,X233,X234)
| next_subocc(X232,X233,X234) )
& ( min_precedes(esk1_3(X232,X233,X234),X233,X234)
| ~ min_precedes(X232,X233,X234)
| next_subocc(X232,X233,X234) ) ),
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_38,plain,
( next_subocc(esk15_1(X1),esk16_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_39,plain,
! [X103,X104] :
( ( occurrence_of(X104,tptp0)
& subactivity_occurrence(X103,X104)
& arboreal(X103)
& ~ leaf_occ(X103,X104) )
=> ? [X105] :
( occurrence_of(X105,tptp1)
& next_subocc(X103,X105,tptp0) ) ),
inference(fof_simplification,[status(thm)],[sos_47]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk14_2(tptp0,esk18_0)
| ~ root_occ(X1,esk18_0)
| ~ occurrence_of(esk18_0,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
fof(c_0_42,plain,
! [X290,X291,X292,X293] :
( ~ occurrence_of(X290,X292)
| ~ leaf_occ(X291,X290)
| ~ min_precedes(X291,X293,X292) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
cnf(c_0_43,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_38,c_0_25]) ).
fof(c_0_45,plain,
! [X332,X333] :
( ( occurrence_of(esk17_1(X332),tptp1)
| ~ occurrence_of(X333,tptp0)
| ~ subactivity_occurrence(X332,X333)
| ~ arboreal(X332)
| leaf_occ(X332,X333) )
& ( next_subocc(X332,esk17_1(X332),tptp0)
| ~ occurrence_of(X333,tptp0)
| ~ subactivity_occurrence(X332,X333)
| ~ arboreal(X332)
| leaf_occ(X332,X333) ) ),
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_39])])])])])]) ).
cnf(c_0_46,negated_conjecture,
( esk14_2(tptp0,esk18_0) = esk15_1(esk18_0)
| ~ occurrence_of(esk18_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_47,plain,
! [X263,X264] :
( ( ~ arboreal(X263)
| atomic(X264)
| ~ occurrence_of(X263,X264) )
& ( ~ atomic(X264)
| arboreal(X263)
| ~ occurrence_of(X263,X264) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])]) ).
cnf(c_0_48,plain,
( occurrence_of(esk15_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_51,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_45]) ).
cnf(c_0_52,negated_conjecture,
esk14_2(tptp0,esk18_0) = esk15_1(esk18_0),
inference(spm,[status(thm)],[c_0_46,c_0_25]) ).
cnf(c_0_53,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
occurrence_of(esk15_1(esk18_0),tptp4),
inference(spm,[status(thm)],[c_0_48,c_0_25]) ).
cnf(c_0_55,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_56,negated_conjecture,
( ~ leaf_occ(esk15_1(esk18_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,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_51,c_0_25]) ).
cnf(c_0_58,negated_conjecture,
subactivity_occurrence(esk15_1(esk18_0),esk18_0),
inference(rw,[status(thm)],[c_0_28,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
arboreal(esk15_1(esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_60,negated_conjecture,
~ leaf_occ(esk15_1(esk18_0),esk18_0),
inference(spm,[status(thm)],[c_0_56,c_0_25]) ).
cnf(c_0_61,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_45]) ).
fof(c_0_62,plain,
! [X99,X100] :
( ( occurrence_of(X100,tptp0)
& subactivity_occurrence(X99,X100)
& arboreal(X99)
& ~ leaf_occ(X99,X100) )
=> root_occ(X99,X100) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
fof(c_0_63,plain,
! [X300,X301,X302] :
( ( occurrence_of(esk9_3(X300,X301,X302),X300)
| ~ min_precedes(X301,X302,X300) )
& ( subactivity_occurrence(X301,esk9_3(X300,X301,X302))
| ~ min_precedes(X301,X302,X300) )
& ( subactivity_occurrence(X302,esk9_3(X300,X301,X302))
| ~ min_precedes(X301,X302,X300) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_64,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_57,c_0_58]),c_0_59])]),c_0_60]) ).
cnf(c_0_65,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_61,c_0_25]) ).
fof(c_0_66,plain,
! [X286,X287,X288,X289] :
( ~ occurrence_of(X286,X288)
| ~ root_occ(X287,X286)
| ~ min_precedes(X289,X287,X288) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_20])])]) ).
fof(c_0_67,plain,
! [X328,X329] :
( ~ occurrence_of(X329,tptp0)
| ~ subactivity_occurrence(X328,X329)
| ~ arboreal(X328)
| leaf_occ(X328,X329)
| root_occ(X328,X329) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).
cnf(c_0_68,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_64]) ).
cnf(c_0_70,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_65,c_0_58]),c_0_59])]) ).
cnf(c_0_71,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
fof(c_0_72,plain,
! [X12,X13,X14,X15] :
( ( occurrence_of(X14,X15)
& ~ atomic(X15)
& leaf_occ(X12,X14)
& leaf_occ(X13,X14) )
=> X12 = X13 ),
inference(fof_simplification,[status(thm)],[sos_03]) ).
cnf(c_0_73,plain,
( leaf_occ(X2,X1)
| root_occ(X2,X1)
| ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(X2,X1)
| ~ arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),tptp0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp1),
inference(sr,[status(thm)],[c_0_70,c_0_60]) ).
cnf(c_0_77,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_78,negated_conjecture,
( ~ root_occ(esk17_1(esk15_1(esk18_0)),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_71,c_0_69]) ).
fof(c_0_79,plain,
! [X224,X225,X226,X227] :
( ~ occurrence_of(X226,X227)
| atomic(X227)
| ~ leaf_occ(X224,X226)
| ~ leaf_occ(X225,X226)
| X224 = X225 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
cnf(c_0_80,negated_conjecture,
( leaf_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| root_occ(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,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_75,c_0_69]) ).
cnf(c_0_82,negated_conjecture,
arboreal(esk17_1(esk15_1(esk18_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_76]),c_0_77])]) ).
cnf(c_0_83,negated_conjecture,
~ root_occ(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_78,c_0_74]) ).
cnf(c_0_84,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_85,negated_conjecture,
leaf_occ(esk17_1(esk15_1(esk18_0)),esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82])]),c_0_83]) ).
cnf(c_0_86,plain,
( leaf_occ(esk16_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_87,negated_conjecture,
( X1 = esk17_1(esk15_1(esk18_0))
| atomic(X2)
| ~ leaf_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_84,c_0_85]) ).
cnf(c_0_88,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_86,c_0_74]) ).
fof(c_0_89,plain,
! [X294,X295,X296] :
( ~ occurrence_of(X294,X295)
| ~ occurrence_of(X294,X296)
| X295 = X296 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).
cnf(c_0_90,plain,
( occurrence_of(esk16_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_91,negated_conjecture,
( esk16_1(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0)))) = esk17_1(esk15_1(esk18_0))
| atomic(X1)
| ~ occurrence_of(esk9_3(tptp0,esk15_1(esk18_0),esk17_1(esk15_1(esk18_0))),X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_93,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_90,c_0_74]) ).
cnf(c_0_94,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(spm,[status(thm)],[c_0_91,c_0_74]),c_0_26]) ).
cnf(c_0_95,negated_conjecture,
( X1 = tptp1
| ~ occurrence_of(esk17_1(esk15_1(esk18_0)),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_76]) ).
cnf(c_0_96,negated_conjecture,
occurrence_of(esk17_1(esk15_1(esk18_0)),tptp3),
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_97,plain,
tptp1 != tptp3,
inference(split_conjunct,[status(thm)],[sos_42]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO004+2 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % 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
% 0.16/0.33 % Computer : n009.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:29:41 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.49/1.78 % Version : CSE_E---1.7
% 1.49/1.78 % Problem : theBenchmark.p
% 1.49/1.78 % SZS status Theorem for theBenchmark.p
% 1.49/1.78 % SZS output start CNFRefutation
% See solution above
% 1.49/1.78 % Total time : 1.372s
%------------------------------------------------------------------------------