%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO018+3 : 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 : n021.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 1.46s 1.78s
% Output : CNFRefutation 1.46s
% 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_49,axiom,
! [X162,X163] :
( ( occurrence_of(X163,tptp0)
& subactivity_occurrence(X162,X163)
& arboreal(X162)
& ~ leaf_occ(X162,X163) )
=> ? [X164,X165,X166] :
( occurrence_of(X164,tptp3)
& next_subocc(X162,X164,tptp0)
& occurrence_of(X165,tptp4)
& min_precedes(X164,X165,tptp0)
& ( occurrence_of(X166,tptp1)
| occurrence_of(X166,tptp2) )
& min_precedes(X165,X166,tptp0)
& ! [X167] :
( min_precedes(X164,X167,tptp0)
=> ( X167 = X165
| X167 = X166 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(goals,conjecture,
! [X168,X169] :
( ( occurrence_of(X169,tptp0)
& subactivity_occurrence(X168,X169)
& arboreal(X168)
& ~ leaf_occ(X168,X169) )
=> ? [X170,X171] :
( occurrence_of(X170,tptp3)
& next_subocc(X168,X170,tptp0)
& ( occurrence_of(X171,tptp1)
| occurrence_of(X171,tptp2) )
& min_precedes(X170,X171,tptp0)
& leaf_occ(X171,X169)
& ( occurrence_of(X171,tptp1)
=> ~ ? [X172] :
( occurrence_of(X172,tptp2)
& min_precedes(X170,X172,tptp0) ) )
& ( occurrence_of(X171,tptp2)
=> ~ ? [X173] :
( occurrence_of(X173,tptp1)
& min_precedes(X170,X173,tptp0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
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/sandbox/benchmark/theBenchmark.p',sos_22) ).
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/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_56,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_56) ).
fof(c_0_9,plain,
! [X162,X163] :
( ( occurrence_of(X163,tptp0)
& subactivity_occurrence(X162,X163)
& arboreal(X162)
& ~ leaf_occ(X162,X163) )
=> ? [X164,X165,X166] :
( occurrence_of(X164,tptp3)
& next_subocc(X162,X164,tptp0)
& occurrence_of(X165,tptp4)
& min_precedes(X164,X165,tptp0)
& ( occurrence_of(X166,tptp1)
| occurrence_of(X166,tptp2) )
& min_precedes(X165,X166,tptp0)
& ! [X167] :
( min_precedes(X164,X167,tptp0)
=> ( X167 = X165
| X167 = X166 ) ) ) ),
inference(fof_simplification,[status(thm)],[sos_49]) ).
fof(c_0_10,negated_conjecture,
~ ! [X168,X169] :
( ( occurrence_of(X169,tptp0)
& subactivity_occurrence(X168,X169)
& arboreal(X168)
& ~ leaf_occ(X168,X169) )
=> ? [X170,X171] :
( occurrence_of(X170,tptp3)
& next_subocc(X168,X170,tptp0)
& ( occurrence_of(X171,tptp1)
| occurrence_of(X171,tptp2) )
& min_precedes(X170,X171,tptp0)
& leaf_occ(X171,X169)
& ( occurrence_of(X171,tptp1)
=> ~ ? [X172] :
( occurrence_of(X172,tptp2)
& min_precedes(X170,X172,tptp0) ) )
& ( occurrence_of(X171,tptp2)
=> ~ ? [X173] :
( occurrence_of(X173,tptp1)
& min_precedes(X170,X173,tptp0) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_11,plain,
! [X525,X526,X530] :
( ( occurrence_of(esk17_1(X525),tptp3)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) )
& ( next_subocc(X525,esk17_1(X525),tptp0)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) )
& ( occurrence_of(esk18_1(X525),tptp4)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) )
& ( min_precedes(esk17_1(X525),esk18_1(X525),tptp0)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) )
& ( occurrence_of(esk19_1(X525),tptp1)
| occurrence_of(esk19_1(X525),tptp2)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) )
& ( min_precedes(esk18_1(X525),esk19_1(X525),tptp0)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) )
& ( ~ min_precedes(esk17_1(X525),X530,tptp0)
| X530 = esk18_1(X525)
| X530 = esk19_1(X525)
| ~ occurrence_of(X526,tptp0)
| ~ subactivity_occurrence(X525,X526)
| ~ arboreal(X525)
| leaf_occ(X525,X526) ) ),
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,
! [X533,X534] :
( occurrence_of(esk21_0,tptp0)
& subactivity_occurrence(esk20_0,esk21_0)
& arboreal(esk20_0)
& ~ leaf_occ(esk20_0,esk21_0)
& ( occurrence_of(X534,tptp2)
| occurrence_of(X534,tptp1)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(esk23_2(X533,X534),tptp1)
| occurrence_of(X534,tptp1)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( min_precedes(X533,esk23_2(X533,X534),tptp0)
| occurrence_of(X534,tptp1)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(X534,tptp2)
| occurrence_of(esk22_2(X533,X534),tptp2)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(esk23_2(X533,X534),tptp1)
| occurrence_of(esk22_2(X533,X534),tptp2)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( min_precedes(X533,esk23_2(X533,X534),tptp0)
| occurrence_of(esk22_2(X533,X534),tptp2)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(X534,tptp2)
| min_precedes(X533,esk22_2(X533,X534),tptp0)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(esk23_2(X533,X534),tptp1)
| min_precedes(X533,esk22_2(X533,X534),tptp0)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( min_precedes(X533,esk23_2(X533,X534),tptp0)
| min_precedes(X533,esk22_2(X533,X534),tptp0)
| ~ occurrence_of(X534,tptp1)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(X534,tptp2)
| occurrence_of(X534,tptp1)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(esk23_2(X533,X534),tptp1)
| occurrence_of(X534,tptp1)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( min_precedes(X533,esk23_2(X533,X534),tptp0)
| occurrence_of(X534,tptp1)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(X534,tptp2)
| occurrence_of(esk22_2(X533,X534),tptp2)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(esk23_2(X533,X534),tptp1)
| occurrence_of(esk22_2(X533,X534),tptp2)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( min_precedes(X533,esk23_2(X533,X534),tptp0)
| occurrence_of(esk22_2(X533,X534),tptp2)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(X534,tptp2)
| min_precedes(X533,esk22_2(X533,X534),tptp0)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( occurrence_of(esk23_2(X533,X534),tptp1)
| min_precedes(X533,esk22_2(X533,X534),tptp0)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_0) )
& ( min_precedes(X533,esk23_2(X533,X534),tptp0)
| min_precedes(X533,esk22_2(X533,X534),tptp0)
| ~ occurrence_of(X534,tptp2)
| ~ occurrence_of(X533,tptp3)
| ~ next_subocc(esk20_0,X533,tptp0)
| ~ min_precedes(X533,X534,tptp0)
| ~ leaf_occ(X534,esk21_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,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_14,negated_conjecture,
occurrence_of(esk21_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X411,X412,X413,X414,X415,X416,X417] :
( ( min_precedes(X411,X412,X413)
| ~ next_subocc(X411,X412,X413) )
& ( ~ min_precedes(X411,X414,X413)
| ~ min_precedes(X414,X412,X413)
| ~ next_subocc(X411,X412,X413) )
& ( min_precedes(X415,esk8_3(X415,X416,X417),X417)
| ~ min_precedes(X415,X416,X417)
| next_subocc(X415,X416,X417) )
& ( min_precedes(esk8_3(X415,X416,X417),X416,X417)
| ~ min_precedes(X415,X416,X417)
| next_subocc(X415,X416,X417) ) ),
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_16,negated_conjecture,
( leaf_occ(X1,esk21_0)
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
subactivity_occurrence(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
arboreal(esk20_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
~ leaf_occ(esk20_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
( min_precedes(esk17_1(X1),esk18_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,
! [X427,X428,X429] :
( ( occurrence_of(esk10_3(X427,X428,X429),X427)
| ~ min_precedes(X428,X429,X427) )
& ( subactivity_occurrence(X428,esk10_3(X427,X428,X429))
| ~ min_precedes(X428,X429,X427) )
& ( subactivity_occurrence(X429,esk10_3(X427,X428,X429))
| ~ min_precedes(X428,X429,X427) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
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(esk20_0,esk17_1(esk20_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(esk17_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,
! [X477,X478,X479,X480] :
( ~ occurrence_of(X477,X479)
| ~ leaf_occ(X478,X477)
| ~ min_precedes(X478,X480,X479) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])]) ).
cnf(c_0_26,negated_conjecture,
( leaf_occ(X1,esk21_0)
| min_precedes(esk17_1(X1),esk18_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_27,plain,
( occurrence_of(esk10_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(esk20_0,esk17_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
fof(c_0_29,plain,
! [X363,X364] :
( ( ~ arboreal(X363)
| atomic(X364)
| ~ occurrence_of(X363,X364) )
& ( ~ atomic(X364)
| arboreal(X363)
| ~ occurrence_of(X363,X364) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
cnf(c_0_30,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk17_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk21_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(esk17_1(esk20_0),esk18_1(esk20_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(esk10_3(tptp0,esk20_0,esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( subactivity_occurrence(X1,esk10_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(esk17_1(esk20_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_55]) ).
cnf(c_0_38,negated_conjecture,
( ~ leaf_occ(esk17_1(esk20_0),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( leaf_occ(X1,esk10_3(tptp0,esk20_0,esk17_1(esk20_0)))
| next_subocc(X1,esk17_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk20_0,esk17_1(esk20_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk20_0,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_34,c_0_28]) ).
cnf(c_0_41,negated_conjecture,
arboreal(esk17_1(esk20_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(esk17_1(esk20_0),esk10_3(tptp0,esk20_0,esk17_1(esk20_0))),
inference(spm,[status(thm)],[c_0_38,c_0_33]) ).
cnf(c_0_43,plain,
( X2 = esk18_1(X1)
| X2 = esk19_1(X1)
| leaf_occ(X1,X3)
| ~ min_precedes(esk17_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(esk17_1(esk20_0),esk17_1(esk17_1(esk20_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 = esk19_1(X2)
| X1 = esk18_1(X2)
| leaf_occ(X2,esk21_0)
| ~ subactivity_occurrence(X2,esk21_0)
| ~ min_precedes(esk17_1(X2),X1,tptp0)
| ~ arboreal(X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_14]) ).
cnf(c_0_47,plain,
( min_precedes(esk18_1(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_11]) ).
cnf(c_0_48,plain,
( occurrence_of(esk18_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,esk17_1(esk17_1(esk20_0)),tptp0)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( X1 = esk18_1(esk20_0)
| X1 = esk19_1(esk20_0)
| ~ min_precedes(esk17_1(esk20_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(esk17_1(esk20_0),esk17_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_22,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( leaf_occ(X1,esk21_0)
| min_precedes(esk18_1(X1),esk19_1(X1),tptp0)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_14]) ).
fof(c_0_53,plain,
! [X351,X352,X353] :
( ~ occurrence_of(X351,X352)
| ~ occurrence_of(X351,X353)
| X352 = X353 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
cnf(c_0_54,negated_conjecture,
( leaf_occ(X1,esk21_0)
| occurrence_of(esk18_1(X1),tptp4)
| ~ subactivity_occurrence(X1,esk21_0)
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_14]) ).
cnf(c_0_55,negated_conjecture,
( leaf_occ(X1,esk10_3(tptp0,esk20_0,esk17_1(esk20_0)))
| occurrence_of(esk17_1(X1),tptp3)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk20_0,esk17_1(esk20_0)))
| ~ arboreal(X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
~ min_precedes(esk18_1(esk20_0),esk17_1(esk17_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_57,negated_conjecture,
( esk17_1(esk17_1(esk20_0)) = esk19_1(esk20_0)
| esk17_1(esk17_1(esk20_0)) = esk18_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_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(esk18_1(esk20_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(esk17_1(esk17_1(esk20_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,
esk17_1(esk17_1(esk20_0)) = esk18_1(esk20_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(esk18_1(esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
occurrence_of(esk18_1(esk20_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_56]) ).
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+3 : 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
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:32:25 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 1.46/1.78 % Version : CSE_E---1.7
% 1.46/1.78 % Problem : theBenchmark.p
% 1.46/1.78 % SZS status Theorem for theBenchmark.p
% 1.46/1.78 % SZS output start CNFRefutation
% See solution above
% 1.46/1.78 % Total time : 1.371s
%------------------------------------------------------------------------------