%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO002+4 : 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 05:01:50 PM UTC 2026
% Result : Theorem 1.58s 1.80s
% Output : CNFRefutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 112 ( 33 unt; 0 def)
% Number of atoms : 330 ( 33 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 365 ( 147 ~; 135 |; 66 &)
% ( 3 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 7 con; 0-4 aty)
% Number of variables : 228 ( 27 sgn 107 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_48,axiom,
! [X121,X122,X123] :
( tptp1(X121,X122,X123)
=> ( activity(X121)
& ~ atomic(X121)
& ~ atomic(X122)
& root(X123,X122) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(goals,conjecture,
~ ? [X134,X135,X136] :
( tptp1(X134,tptp0,X135)
& occurrence_of(X136,X134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos,axiom,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(sos_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( occurrence_of(X60,X61)
& subactivity_occurrence(X59,X60)
& root(X59,X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(sos_49,axiom,
! [X124,X125,X126,X127] :
( ( tptp1(X124,X125,X126)
& occurrence_of(X127,X124) )
=> ? [X128,X129,X130,X131] :
( send_message(X128,X129,X130,X126,X125)
& occurrence_of(X131,X128)
& root_occ(X131,X127) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( occurrence_of(X93,X94)
& root_occ(X91,X93)
& root_occ(X92,X93) )
=> X91 = X92 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(sos_47,axiom,
! [X115,X116,X117,X118,X119,X120] :
( ( send_message(X115,X116,X117,X118,X119)
& occurrence_of(X120,X115) )
=> min_precedes(X118,X120,X119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( occurrence_of(X25,X22)
& subactivity_occurrence(X23,X25)
& subactivity_occurrence(X24,X25) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104] :
( occurrence_of(X103,tptp4)
& root_occ(X103,X102)
& ( occurrence_of(X104,tptp3)
| occurrence_of(X104,tptp2) )
& leaf_occ(X104,X102)
& next_subocc(X103,X104,tptp0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( occurrence_of(X57,X58)
& subactivity_occurrence(X56,X57)
& leaf(X56,X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_11,axiom,
! [X40,X41] :
( subactivity_occurrence(X40,X41)
=> ( activity_occurrence(X40)
& activity_occurrence(X41) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_01,axiom,
! [X4,X5,X6,X7,X8] :
( ( occurrence_of(X5,X4)
& root_occ(X7,X5)
& leaf_occ(X8,X5)
& subactivity_occurrence(X6,X5)
& min_precedes(X7,X6,X4)
& X6 != X8 )
=> min_precedes(X6,X8,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( min_precedes(X79,X80,X81)
& ~ ? [X82] :
( min_precedes(X79,X82,X81)
& min_precedes(X82,X80,X81) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_46,axiom,
! [X110,X111,X112,X113,X114] :
( send_message(X110,X111,X112,X113,X114)
=> ( X110 != tptp4
& X110 != tptp3
& X110 != tptp2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(c_0_16,plain,
! [X121,X122,X123] :
( tptp1(X121,X122,X123)
=> ( activity(X121)
& ~ atomic(X121)
& ~ atomic(X122)
& root(X123,X122) ) ),
inference(fof_simplification,[status(thm)],[sos_48]) ).
fof(c_0_17,negated_conjecture,
~ ~ ? [X134,X135,X136] :
( tptp1(X134,tptp0,X135)
& occurrence_of(X136,X134) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_18,plain,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_19,plain,
! [X410,X411,X412] :
( ( activity(X410)
| ~ tptp1(X410,X411,X412) )
& ( ~ atomic(X410)
| ~ tptp1(X410,X411,X412) )
& ( ~ atomic(X411)
| ~ tptp1(X410,X411,X412) )
& ( root(X412,X411)
| ~ tptp1(X410,X411,X412) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,negated_conjecture,
( tptp1(esk19_0,tptp0,esk20_0)
& occurrence_of(esk21_0,esk19_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_21,plain,
! [X273,X274] :
( ( root(esk1_2(X273,X274),X273)
| ~ occurrence_of(X274,X273)
| atomic(X273) )
& ( subactivity_occurrence(esk1_2(X273,X274),X274)
| ~ occurrence_of(X274,X273)
| atomic(X273) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_22,plain,
( ~ atomic(X1)
| ~ tptp1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
tptp1(esk19_0,tptp0,esk20_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X341,X342,X344,X345,X346] :
( ( occurrence_of(X342,esk10_2(X341,X342))
| ~ root_occ(X341,X342) )
& ( subactivity_occurrence(X341,X342)
| ~ root_occ(X341,X342) )
& ( root(X341,esk10_2(X341,X342))
| ~ root_occ(X341,X342) )
& ( ~ occurrence_of(X345,X346)
| ~ subactivity_occurrence(X344,X345)
| ~ root(X344,X346)
| root_occ(X344,X345) ) ),
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_19])])])])])]) ).
cnf(c_0_25,plain,
( subactivity_occurrence(esk1_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk21_0,esk19_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ atomic(esk19_0),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
subactivity_occurrence(esk1_2(esk19_0,esk21_0),esk21_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_30,plain,
( root(esk1_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_31,plain,
! [X413,X414,X415,X416] :
( ( send_message(esk15_4(X413,X414,X415,X416),esk16_4(X413,X414,X415,X416),esk17_4(X413,X414,X415,X416),X415,X414)
| ~ tptp1(X413,X414,X415)
| ~ occurrence_of(X416,X413) )
& ( occurrence_of(esk18_4(X413,X414,X415,X416),esk15_4(X413,X414,X415,X416))
| ~ tptp1(X413,X414,X415)
| ~ occurrence_of(X416,X413) )
& ( root_occ(esk18_4(X413,X414,X415,X416),X416)
| ~ tptp1(X413,X414,X415)
| ~ occurrence_of(X416,X413) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).
fof(c_0_32,plain,
! [X380,X381,X382,X383] :
( ~ occurrence_of(X382,X383)
| ~ root_occ(X380,X382)
| ~ root_occ(X381,X382)
| X380 = X381 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_33,negated_conjecture,
( root_occ(esk1_2(esk19_0,esk21_0),esk21_0)
| ~ root(esk1_2(esk19_0,esk21_0),X1)
| ~ occurrence_of(esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
root(esk1_2(esk19_0,esk21_0),esk19_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27]) ).
cnf(c_0_35,plain,
( root_occ(esk18_4(X1,X2,X3,X4),X4)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
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(esk1_2(esk19_0,esk21_0),esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_34])]) ).
cnf(c_0_38,negated_conjecture,
( root_occ(esk18_4(esk19_0,tptp0,esk20_0,X1),X1)
| ~ occurrence_of(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_23]) ).
cnf(c_0_39,plain,
( send_message(esk15_4(X1,X2,X3,X4),esk16_4(X1,X2,X3,X4),esk17_4(X1,X2,X3,X4),X3,X2)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( X1 = esk1_2(esk19_0,esk21_0)
| ~ root_occ(X1,esk21_0)
| ~ occurrence_of(esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
root_occ(esk18_4(esk19_0,tptp0,esk20_0,esk21_0),esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_26]) ).
fof(c_0_42,plain,
! [X404,X405,X406,X407,X408,X409] :
( ~ send_message(X404,X405,X406,X407,X408)
| ~ occurrence_of(X409,X404)
| min_precedes(X407,X409,X408) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])]) ).
cnf(c_0_43,negated_conjecture,
( send_message(esk15_4(esk19_0,tptp0,esk20_0,X1),esk16_4(esk19_0,tptp0,esk20_0,X1),esk17_4(esk19_0,tptp0,esk20_0,X1),esk20_0,tptp0)
| ~ occurrence_of(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
cnf(c_0_44,plain,
( occurrence_of(esk18_4(X1,X2,X3,X4),esk15_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_45,negated_conjecture,
( esk18_4(esk19_0,tptp0,esk20_0,esk21_0) = esk1_2(esk19_0,esk21_0)
| ~ occurrence_of(esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,plain,
( min_precedes(X4,X6,X5)
| ~ send_message(X1,X2,X3,X4,X5)
| ~ occurrence_of(X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
send_message(esk15_4(esk19_0,tptp0,esk20_0,esk21_0),esk16_4(esk19_0,tptp0,esk20_0,esk21_0),esk17_4(esk19_0,tptp0,esk20_0,esk21_0),esk20_0,tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_26]) ).
cnf(c_0_48,negated_conjecture,
( occurrence_of(esk18_4(esk19_0,tptp0,esk20_0,X1),esk15_4(esk19_0,tptp0,esk20_0,X1))
| ~ occurrence_of(X1,esk19_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
cnf(c_0_49,negated_conjecture,
esk18_4(esk19_0,tptp0,esk20_0,esk21_0) = esk1_2(esk19_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
fof(c_0_50,plain,
! [X294,X295,X296] :
( ( occurrence_of(esk3_3(X294,X295,X296),X294)
| ~ min_precedes(X295,X296,X294) )
& ( subactivity_occurrence(X295,esk3_3(X294,X295,X296))
| ~ min_precedes(X295,X296,X294) )
& ( subactivity_occurrence(X296,esk3_3(X294,X295,X296))
| ~ min_precedes(X295,X296,X294) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).
cnf(c_0_51,negated_conjecture,
( min_precedes(esk20_0,X1,tptp0)
| ~ occurrence_of(X1,esk15_4(esk19_0,tptp0,esk20_0,esk21_0)) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
occurrence_of(esk1_2(esk19_0,esk21_0),esk15_4(esk19_0,tptp0,esk20_0,esk21_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_26]),c_0_49]) ).
cnf(c_0_53,plain,
( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_54,negated_conjecture,
min_precedes(esk20_0,esk1_2(esk19_0,esk21_0),tptp0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
subactivity_occurrence(esk20_0,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
( root(X1,X2)
| ~ tptp1(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,plain,
( occurrence_of(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,negated_conjecture,
( root_occ(esk20_0,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))
| ~ root(esk20_0,X1)
| ~ occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
root(esk20_0,tptp0),
inference(spm,[status(thm)],[c_0_56,c_0_23]) ).
cnf(c_0_60,negated_conjecture,
occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),tptp0),
inference(spm,[status(thm)],[c_0_57,c_0_54]) ).
fof(c_0_61,plain,
! [X391] :
( ( occurrence_of(esk13_1(X391),tptp4)
| ~ occurrence_of(X391,tptp0) )
& ( root_occ(esk13_1(X391),X391)
| ~ occurrence_of(X391,tptp0) )
& ( occurrence_of(esk14_1(X391),tptp3)
| occurrence_of(esk14_1(X391),tptp2)
| ~ occurrence_of(X391,tptp0) )
& ( leaf_occ(esk14_1(X391),X391)
| ~ occurrence_of(X391,tptp0) )
& ( next_subocc(esk13_1(X391),esk14_1(X391),tptp0)
| ~ occurrence_of(X391,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
cnf(c_0_62,negated_conjecture,
root_occ(esk20_0,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_63,plain,
( root_occ(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk20_0
| ~ root_occ(X1,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))
| ~ occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
root_occ(esk13_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_63,c_0_60]) ).
fof(c_0_66,plain,
! [X335,X336,X338,X339,X340] :
( ( occurrence_of(X336,esk9_2(X335,X336))
| ~ leaf_occ(X335,X336) )
& ( subactivity_occurrence(X335,X336)
| ~ leaf_occ(X335,X336) )
& ( leaf(X335,esk9_2(X335,X336))
| ~ leaf_occ(X335,X336) )
& ( ~ occurrence_of(X339,X340)
| ~ subactivity_occurrence(X338,X339)
| ~ leaf(X338,X340)
| leaf_occ(X338,X339) ) ),
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_18])])])])])]) ).
cnf(c_0_67,plain,
( leaf_occ(esk14_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( esk13_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) = esk20_0
| ~ occurrence_of(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)),X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,plain,
! [X312,X313] :
( ( activity_occurrence(X312)
| ~ subactivity_occurrence(X312,X313) )
& ( activity_occurrence(X313)
| ~ subactivity_occurrence(X312,X313) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])]) ).
cnf(c_0_70,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,negated_conjecture,
leaf_occ(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_67,c_0_60]) ).
fof(c_0_72,plain,
! [X276,X277,X278,X279,X280] :
( ~ occurrence_of(X277,X276)
| ~ root_occ(X279,X277)
| ~ leaf_occ(X280,X277)
| ~ subactivity_occurrence(X278,X277)
| ~ min_precedes(X279,X278,X276)
| X278 = X280
| min_precedes(X278,X280,X276) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])]) ).
fof(c_0_73,plain,
! [X364,X365,X366,X367,X368,X369,X370] :
( ( min_precedes(X364,X365,X366)
| ~ next_subocc(X364,X365,X366) )
& ( ~ min_precedes(X364,X367,X366)
| ~ min_precedes(X367,X365,X366)
| ~ next_subocc(X364,X365,X366) )
& ( min_precedes(X368,esk12_3(X368,X369,X370),X370)
| ~ min_precedes(X368,X369,X370)
| next_subocc(X368,X369,X370) )
& ( min_precedes(esk12_3(X368,X369,X370),X369,X370)
| ~ min_precedes(X368,X369,X370)
| next_subocc(X368,X369,X370) ) ),
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_26])])])])])]) ).
cnf(c_0_74,plain,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_75,negated_conjecture,
esk13_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) = esk20_0,
inference(spm,[status(thm)],[c_0_68,c_0_60]) ).
fof(c_0_76,plain,
! [X314] :
( ( activity(esk5_1(X314))
| ~ activity_occurrence(X314) )
& ( occurrence_of(X314,esk5_1(X314))
| ~ activity_occurrence(X314) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
cnf(c_0_77,plain,
( activity_occurrence(X1)
| ~ subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_78,plain,
! [X301,X302,X303] :
( ~ occurrence_of(X301,X302)
| ~ occurrence_of(X301,X303)
| X302 = X303 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
cnf(c_0_79,plain,
( occurrence_of(esk14_1(X1),tptp3)
| occurrence_of(esk14_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_80,negated_conjecture,
subactivity_occurrence(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_81,plain,
( X5 = X4
| min_precedes(X5,X4,X2)
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X5,X1)
| ~ min_precedes(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_83,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_84,negated_conjecture,
next_subocc(esk20_0,esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_60]),c_0_75]) ).
cnf(c_0_85,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,negated_conjecture,
activity_occurrence(esk1_2(esk19_0,esk21_0)),
inference(spm,[status(thm)],[c_0_77,c_0_29]) ).
cnf(c_0_87,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp2)
| occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp3) ),
inference(spm,[status(thm)],[c_0_79,c_0_60]) ).
cnf(c_0_89,negated_conjecture,
activity_occurrence(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))),
inference(spm,[status(thm)],[c_0_77,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
( X1 = esk1_2(esk19_0,esk21_0)
| min_precedes(esk1_2(esk19_0,esk21_0),X1,tptp0)
| ~ leaf_occ(X1,X2)
| ~ root_occ(esk20_0,X2)
| ~ subactivity_occurrence(esk1_2(esk19_0,esk21_0),X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_81,c_0_54]) ).
cnf(c_0_91,negated_conjecture,
subactivity_occurrence(esk1_2(esk19_0,esk21_0),esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_82,c_0_54]) ).
cnf(c_0_92,negated_conjecture,
( ~ min_precedes(X1,esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp0)
| ~ min_precedes(esk20_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
occurrence_of(esk1_2(esk19_0,esk21_0),esk5_1(esk1_2(esk19_0,esk21_0))),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( X1 = tptp2
| occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp3)
| ~ occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))))),
inference(spm,[status(thm)],[c_0_85,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
( X1 = esk1_2(esk19_0,esk21_0)
| min_precedes(esk1_2(esk19_0,esk21_0),X1,tptp0)
| ~ leaf_occ(X1,esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_62]),c_0_91]),c_0_60])]) ).
cnf(c_0_97,negated_conjecture,
~ min_precedes(esk1_2(esk19_0,esk21_0),esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp0),
inference(spm,[status(thm)],[c_0_92,c_0_54]) ).
cnf(c_0_98,negated_conjecture,
( X1 = esk5_1(esk1_2(esk19_0,esk21_0))
| ~ occurrence_of(esk1_2(esk19_0,esk21_0),X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_93]) ).
fof(c_0_99,plain,
! [X399,X400,X401,X402,X403] :
( ( X399 != tptp4
| ~ send_message(X399,X400,X401,X402,X403) )
& ( X399 != tptp3
| ~ send_message(X399,X400,X401,X402,X403) )
& ( X399 != tptp2
| ~ send_message(X399,X400,X401,X402,X403) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])])]) ).
cnf(c_0_100,negated_conjecture,
( esk5_1(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0)))) = tptp2
| occurrence_of(esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))),tptp3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
esk14_1(esk3_3(tptp0,esk20_0,esk1_2(esk19_0,esk21_0))) = esk1_2(esk19_0,esk21_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_71]),c_0_97]) ).
cnf(c_0_102,negated_conjecture,
esk5_1(esk1_2(esk19_0,esk21_0)) = esk15_4(esk19_0,tptp0,esk20_0,esk21_0),
inference(spm,[status(thm)],[c_0_98,c_0_52]) ).
cnf(c_0_103,plain,
( X1 != tptp2
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( esk15_4(esk19_0,tptp0,esk20_0,esk21_0) = tptp2
| occurrence_of(esk1_2(esk19_0,esk21_0),tptp3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101]),c_0_102]),c_0_101]) ).
cnf(c_0_105,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( X1 = esk15_4(esk19_0,tptp0,esk20_0,esk21_0)
| ~ occurrence_of(esk1_2(esk19_0,esk21_0),X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_52]) ).
cnf(c_0_107,negated_conjecture,
occurrence_of(esk1_2(esk19_0,esk21_0),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_104]),c_0_105]) ).
cnf(c_0_108,plain,
( X1 != tptp3
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_109,negated_conjecture,
esk15_4(esk19_0,tptp0,esk20_0,esk21_0) = tptp3,
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_108]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_109]),c_0_110]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO002+4 : 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 : n009.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 01:29:56 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.58/1.80 % Version : CSE_E---1.7
% 1.58/1.80 % Problem : theBenchmark.p
% 1.58/1.80 % SZS status Theorem for theBenchmark.p
% 1.58/1.80 % SZS output start CNFRefutation
% See solution above
% 1.58/1.80 % Total time : 1.372s
%------------------------------------------------------------------------------