%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO018+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 : n004.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 05:01:57 PM UTC 2026
% Result : Theorem 1.45s 1.76s
% Output : CNFRefutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 25 unt; 0 def)
% Number of atoms : 394 ( 21 equ)
% Maximal formula atoms : 130 ( 5 avg)
% Number of connectives : 529 ( 202 ~; 232 |; 79 &)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 113 ( 1 sgn 48 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_32,axiom,
! [X96,X97] :
( ( occurrence_of(X97,tptp0)
& subactivity_occurrence(X96,X97)
& arboreal(X96)
& ~ leaf_occ(X96,X97) )
=> ? [X98,X99,X100] :
( occurrence_of(X98,tptp3)
& next_subocc(X96,X98,tptp0)
& occurrence_of(X99,tptp4)
& min_precedes(X98,X99,tptp0)
& ( occurrence_of(X100,tptp1)
| occurrence_of(X100,tptp2) )
& min_precedes(X99,X100,tptp0)
& ! [X101] :
( min_precedes(X98,X101,tptp0)
=> ( X101 = X99
| X101 = X100 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(goals,conjecture,
! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& min_precedes(X104,X105,tptp0)
& leaf_occ(X105,X103)
& ( occurrence_of(X105,tptp1)
=> ~ ? [X106] :
( occurrence_of(X106,tptp2)
& min_precedes(X104,X106,tptp0) ) )
& ( occurrence_of(X105,tptp2)
=> ~ ? [X107] :
( occurrence_of(X107,tptp1)
& min_precedes(X104,X107,tptp0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
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_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_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_38,axiom,
atomic(tptp3),
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_39,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
fof(c_0_9,plain,
! [X96,X97] :
( ( occurrence_of(X97,tptp0)
& subactivity_occurrence(X96,X97)
& arboreal(X96)
& ~ leaf_occ(X96,X97) )
=> ? [X98,X99,X100] :
( occurrence_of(X98,tptp3)
& next_subocc(X96,X98,tptp0)
& occurrence_of(X99,tptp4)
& min_precedes(X98,X99,tptp0)
& ( occurrence_of(X100,tptp1)
| occurrence_of(X100,tptp2) )
& min_precedes(X99,X100,tptp0)
& ! [X101] :
( min_precedes(X98,X101,tptp0)
=> ( X101 = X99
| X101 = X100 ) ) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(c_0_10,negated_conjecture,
~ ! [X102,X103] :
( ( occurrence_of(X103,tptp0)
& subactivity_occurrence(X102,X103)
& arboreal(X102)
& ~ leaf_occ(X102,X103) )
=> ? [X104,X105] :
( occurrence_of(X104,tptp3)
& next_subocc(X102,X104,tptp0)
& ( occurrence_of(X105,tptp1)
| occurrence_of(X105,tptp2) )
& min_precedes(X104,X105,tptp0)
& leaf_occ(X105,X103)
& ( occurrence_of(X105,tptp1)
=> ~ ? [X106] :
( occurrence_of(X106,tptp2)
& min_precedes(X104,X106,tptp0) ) )
& ( occurrence_of(X105,tptp2)
=> ~ ? [X107] :
( occurrence_of(X107,tptp1)
& min_precedes(X104,X107,tptp0) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_11,plain,
! [X327,X328,X332] :
( ( occurrence_of(esk15_1(X327),tptp3)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) )
& ( next_subocc(X327,esk15_1(X327),tptp0)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) )
& ( occurrence_of(esk16_1(X327),tptp4)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) )
& ( min_precedes(esk15_1(X327),esk16_1(X327),tptp0)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) )
& ( occurrence_of(esk17_1(X327),tptp1)
| occurrence_of(esk17_1(X327),tptp2)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) )
& ( min_precedes(esk16_1(X327),esk17_1(X327),tptp0)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) )
& ( ~ min_precedes(esk15_1(X327),X332,tptp0)
| X332 = esk16_1(X327)
| X332 = esk17_1(X327)
| ~ occurrence_of(X328,tptp0)
| ~ subactivity_occurrence(X327,X328)
| ~ arboreal(X327)
| leaf_occ(X327,X328) ) ),
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_9])])])])])]) ).
fof(c_0_12,negated_conjecture,
! [X335,X336] :
( occurrence_of(esk19_0,tptp0)
& subactivity_occurrence(esk18_0,esk19_0)
& arboreal(esk18_0)
& ~ leaf_occ(esk18_0,esk19_0)
& ( occurrence_of(X336,tptp2)
| occurrence_of(X336,tptp1)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(esk21_2(X335,X336),tptp1)
| occurrence_of(X336,tptp1)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( min_precedes(X335,esk21_2(X335,X336),tptp0)
| occurrence_of(X336,tptp1)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(X336,tptp2)
| occurrence_of(esk20_2(X335,X336),tptp2)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(esk21_2(X335,X336),tptp1)
| occurrence_of(esk20_2(X335,X336),tptp2)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( min_precedes(X335,esk21_2(X335,X336),tptp0)
| occurrence_of(esk20_2(X335,X336),tptp2)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(X336,tptp2)
| min_precedes(X335,esk20_2(X335,X336),tptp0)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(esk21_2(X335,X336),tptp1)
| min_precedes(X335,esk20_2(X335,X336),tptp0)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( min_precedes(X335,esk21_2(X335,X336),tptp0)
| min_precedes(X335,esk20_2(X335,X336),tptp0)
| ~ occurrence_of(X336,tptp1)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(X336,tptp2)
| occurrence_of(X336,tptp1)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(esk21_2(X335,X336),tptp1)
| occurrence_of(X336,tptp1)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( min_precedes(X335,esk21_2(X335,X336),tptp0)
| occurrence_of(X336,tptp1)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(X336,tptp2)
| occurrence_of(esk20_2(X335,X336),tptp2)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(esk21_2(X335,X336),tptp1)
| occurrence_of(esk20_2(X335,X336),tptp2)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( min_precedes(X335,esk21_2(X335,X336),tptp0)
| occurrence_of(esk20_2(X335,X336),tptp2)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(X336,tptp2)
| min_precedes(X335,esk20_2(X335,X336),tptp0)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( occurrence_of(esk21_2(X335,X336),tptp1)
| min_precedes(X335,esk20_2(X335,X336),tptp0)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) )
& ( min_precedes(X335,esk21_2(X335,X336),tptp0)
| min_precedes(X335,esk20_2(X335,X336),tptp0)
| ~ occurrence_of(X336,tptp2)
| ~ occurrence_of(X335,tptp3)
| ~ next_subocc(esk18_0,X335,tptp0)
| ~ min_precedes(X335,X336,tptp0)
| ~ leaf_occ(X336,esk19_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
cnf(c_0_13,plain,
( next_subocc(X1,esk15_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
occurrence_of(esk19_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X230,X231,X232,X233,X234,X235,X236] :
( ( min_precedes(X230,X231,X232)
| ~ next_subocc(X230,X231,X232) )
& ( ~ min_precedes(X230,X233,X232)
| ~ min_precedes(X233,X231,X232)
| ~ next_subocc(X230,X231,X232) )
& ( min_precedes(X234,esk1_3(X234,X235,X236),X236)
| ~ min_precedes(X234,X235,X236)
| next_subocc(X234,X235,X236) )
& ( min_precedes(esk1_3(X234,X235,X236),X235,X236)
| ~ min_precedes(X234,X235,X236)
| next_subocc(X234,X235,X236) ) ),
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_16,negated_conjecture,
( next_subocc(X1,esk15_1(X1),tptp0)
| leaf_occ(X1,esk19_0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
subactivity_occurrence(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
arboreal(esk18_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
~ leaf_occ(esk18_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( min_precedes(esk15_1(X1),esk16_1(X1),tptp0)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_21,plain,
! [X302,X303,X304] :
( ( occurrence_of(esk9_3(X302,X303,X304),X302)
| ~ min_precedes(X303,X304,X302) )
& ( subactivity_occurrence(X303,esk9_3(X302,X303,X304))
| ~ min_precedes(X303,X304,X302) )
& ( subactivity_occurrence(X304,esk9_3(X302,X303,X304))
| ~ min_precedes(X303,X304,X302) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_22,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
next_subocc(esk18_0,esk15_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_24,plain,
( occurrence_of(esk15_1(X1),tptp3)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_25,plain,
! [X292,X293,X294,X295] :
( ~ occurrence_of(X292,X294)
| ~ leaf_occ(X293,X292)
| ~ min_precedes(X293,X295,X294) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])]) ).
cnf(c_0_26,negated_conjecture,
( leaf_occ(X1,esk19_0)
| min_precedes(esk15_1(X1),esk16_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_27,plain,
( occurrence_of(esk9_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
min_precedes(esk18_0,esk15_1(esk18_0),tptp0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_29,plain,
! [X265,X266] :
( ( ~ arboreal(X265)
| atomic(X266)
| ~ occurrence_of(X265,X266) )
& ( ~ atomic(X266)
| arboreal(X265)
| ~ occurrence_of(X265,X266) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])]) ).
cnf(c_0_30,negated_conjecture,
( leaf_occ(X1,esk19_0)
| occurrence_of(esk15_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
cnf(c_0_31,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk16_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_33,negated_conjecture,
occurrence_of(esk9_3(tptp0,esk18_0,esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( subactivity_occurrence(X1,esk9_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
occurrence_of(esk15_1(esk18_0),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_37,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_38,negated_conjecture,
( ~ leaf_occ(esk15_1(esk18_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( next_subocc(X1,esk15_1(X1),tptp0)
| leaf_occ(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
subactivity_occurrence(esk15_1(esk18_0),esk9_3(tptp0,esk18_0,esk15_1(esk18_0))),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
arboreal(esk15_1(esk18_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_42,negated_conjecture,
~ leaf_occ(esk15_1(esk18_0),esk9_3(tptp0,esk18_0,esk15_1(esk18_0))),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_43,plain,
( X2 = esk16_1(X1)
| X2 = esk17_1(X1)
| leaf_occ(X1,X3)
| ~ min_precedes(esk15_1(X1),X2,tptp0)
| ~ occurrence_of(X3,tptp0)
| ~ subactivity_occurrence(X1,X3)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_45,negated_conjecture,
next_subocc(esk15_1(esk18_0),esk15_1(esk15_1(esk18_0)),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_46,negated_conjecture,
( X1 = esk17_1(X2)
| X1 = esk16_1(X2)
| leaf_occ(X2,esk19_0)
| ~ subactivity_occurrence(X2,esk19_0)
| ~ arboreal(X2)
| ~ min_precedes(esk15_1(X2),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_43,c_0_14]) ).
cnf(c_0_47,plain,
( min_precedes(esk16_1(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_11]) ).
cnf(c_0_48,plain,
( occurrence_of(esk16_1(X1),tptp4)
| leaf_occ(X1,X2)
| ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(X1,X2)
| ~ arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_49,negated_conjecture,
( ~ min_precedes(X1,esk15_1(esk15_1(esk18_0)),tptp0)
| ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( X1 = esk16_1(esk18_0)
| X1 = esk17_1(esk18_0)
| ~ min_precedes(esk15_1(esk18_0),X1,tptp0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_51,negated_conjecture,
min_precedes(esk15_1(esk18_0),esk15_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( leaf_occ(X1,esk19_0)
| min_precedes(esk16_1(X1),esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_14]) ).
fof(c_0_53,plain,
! [X296,X297,X298] :
( ~ occurrence_of(X296,X297)
| ~ occurrence_of(X296,X298)
| X297 = X298 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])]) ).
cnf(c_0_54,negated_conjecture,
( leaf_occ(X1,esk19_0)
| occurrence_of(esk16_1(X1),tptp4)
| ~ subactivity_occurrence(X1,esk19_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_14]) ).
cnf(c_0_55,negated_conjecture,
( leaf_occ(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
| occurrence_of(esk15_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,esk18_0,esk15_1(esk18_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
~ min_precedes(esk16_1(esk18_0),esk15_1(esk15_1(esk18_0)),tptp0),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_57,negated_conjecture,
( esk15_1(esk15_1(esk18_0)) = esk17_1(esk18_0)
| esk15_1(esk15_1(esk18_0)) = esk16_1(esk18_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
min_precedes(esk16_1(esk18_0),esk17_1(esk18_0),tptp0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_59,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
occurrence_of(esk16_1(esk18_0),tptp4),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_17]),c_0_18])]),c_0_19]) ).
cnf(c_0_61,negated_conjecture,
occurrence_of(esk15_1(esk15_1(esk18_0)),tptp3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_40]),c_0_41])]),c_0_42]) ).
cnf(c_0_62,negated_conjecture,
esk15_1(esk15_1(esk18_0)) = esk16_1(esk18_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_63,negated_conjecture,
( X1 = tptp4
| ~ occurrence_of(esk16_1(esk18_0),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
occurrence_of(esk16_1(esk18_0),tptp3),
inference(rw,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,plain,
tptp4 != tptp3,
inference(split_conjunct,[status(thm)],[sos_39]) ).
cnf(c_0_66,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO018+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
% 0.17/0.33 % Computer : n004.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 01:31:17 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.45/1.76 % Version : CSE_E---1.7
% 1.45/1.76 % Problem : theBenchmark.p
% 1.45/1.76 % SZS status Theorem for theBenchmark.p
% 1.45/1.76 % SZS output start CNFRefutation
% See solution above
% 1.45/1.76 % Total time : 1.369s
%------------------------------------------------------------------------------