%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO001+4 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 5.88s 4.20s
% Output : CNFRefutation 5.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 18
% Syntax : Number of formulae : 126 ( 39 unt; 0 def)
% Number of atoms : 369 ( 32 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 404 ( 161 ~; 146 |; 77 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-5 aty)
% Number of functors : 20 ( 20 usr; 7 con; 0-6 aty)
% Number of variables : 270 ( 30 sgn 131 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X158,X159,X160] :
( tptp1(X158,tptp0,X159)
& occurrence_of(X160,X158) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_53,axiom,
! [X148,X149,X150,X151] :
( ( tptp1(X148,X149,X150)
& occurrence_of(X151,X148) )
=> ? [X152,X153,X154,X155] :
( transmit_message(X152,X153,X154,X150,X149)
& occurrence_of(X155,X152)
& subactivity_occurrence(X155,X151) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_53) ).
fof(sos_48,axiom,
! [X121,X122,X123,X124,X125] :
( transmit_message(X121,X122,X123,X124,X125)
=> ( activity(X121)
& ~ atomic(X121)
& root(X122,X123)
& root(X124,X125) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(sos,axiom,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(sos_51,axiom,
! [X137,X138,X139,X140,X141,X142] :
( ( transmit_message(X137,X138,X139,X140,X141)
& occurrence_of(X142,X137) )
=> ? [X143,X144] :
( send_message(X143,X138,X139,X140,X141)
& occurrence_of(X144,X143)
& root_occ(X144,X142) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
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/sandbox2/benchmark/theBenchmark.p',sos_19) ).
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/sandbox2/benchmark/theBenchmark.p',sos_47) ).
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/sandbox2/benchmark/theBenchmark.p',sos_29) ).
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/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(sos_52,axiom,
! [X145,X146,X147] :
( tptp1(X145,X146,X147)
=> ( activity(X145)
& ~ atomic(X145)
& ~ atomic(X146)
& root(X147,X146) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
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/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(sos_11,axiom,
! [X40,X41] :
( subactivity_occurrence(X40,X41)
=> ( activity_occurrence(X40)
& activity_occurrence(X41) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( activity(X43)
& occurrence_of(X42,X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity(X13)
& activity_occurrence(X14) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X30)
& occurrence_of(X29,X31) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(c_0_18,negated_conjecture,
~ ~ ? [X158,X159,X160] :
( tptp1(X158,tptp0,X159)
& occurrence_of(X160,X158) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_19,plain,
! [X485,X486,X487,X488] :
( ( transmit_message(esk17_4(X485,X486,X487,X488),esk18_4(X485,X486,X487,X488),esk19_4(X485,X486,X487,X488),X487,X486)
| ~ tptp1(X485,X486,X487)
| ~ occurrence_of(X488,X485) )
& ( occurrence_of(esk20_4(X485,X486,X487,X488),esk17_4(X485,X486,X487,X488))
| ~ tptp1(X485,X486,X487)
| ~ occurrence_of(X488,X485) )
& ( subactivity_occurrence(esk20_4(X485,X486,X487,X488),X488)
| ~ tptp1(X485,X486,X487)
| ~ occurrence_of(X488,X485) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_53])])])]) ).
fof(c_0_20,negated_conjecture,
( tptp1(esk21_0,tptp0,esk22_0)
& occurrence_of(esk23_0,esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_21,plain,
! [X121,X122,X123,X124,X125] :
( transmit_message(X121,X122,X123,X124,X125)
=> ( activity(X121)
& ~ atomic(X121)
& root(X122,X123)
& root(X124,X125) ) ),
inference(fof_simplification,[status(thm)],[sos_48]) ).
cnf(c_0_22,plain,
( transmit_message(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4),X3,X2)
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
tptp1(esk21_0,tptp0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,plain,
! [X1,X2] :
( ( occurrence_of(X2,X1)
& ~ atomic(X1) )
=> ? [X3] :
( root(X3,X1)
& subactivity_occurrence(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
cnf(c_0_25,plain,
( occurrence_of(esk20_4(X1,X2,X3,X4),esk17_4(X1,X2,X3,X4))
| ~ tptp1(X1,X2,X3)
| ~ occurrence_of(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_26,plain,
! [X458,X459,X460,X461,X462] :
( ( activity(X458)
| ~ transmit_message(X458,X459,X460,X461,X462) )
& ( ~ atomic(X458)
| ~ transmit_message(X458,X459,X460,X461,X462) )
& ( root(X459,X460)
| ~ transmit_message(X458,X459,X460,X461,X462) )
& ( root(X461,X462)
| ~ transmit_message(X458,X459,X460,X461,X462) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_27,negated_conjecture,
( transmit_message(esk17_4(esk21_0,tptp0,esk22_0,X1),esk18_4(esk21_0,tptp0,esk22_0,X1),esk19_4(esk21_0,tptp0,esk22_0,X1),esk22_0,tptp0)
| ~ occurrence_of(X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
occurrence_of(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_29,plain,
! [X321,X322] :
( ( root(esk1_2(X321,X322),X321)
| ~ occurrence_of(X322,X321)
| atomic(X321) )
& ( subactivity_occurrence(esk1_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_24])])])]) ).
cnf(c_0_30,negated_conjecture,
( occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,X1),esk17_4(esk21_0,tptp0,esk22_0,X1))
| ~ occurrence_of(X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
cnf(c_0_31,plain,
( ~ atomic(X1)
| ~ transmit_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
transmit_message(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_33,plain,
! [X474,X475,X476,X477,X478,X479] :
( ( send_message(esk15_6(X474,X475,X476,X477,X478,X479),X475,X476,X477,X478)
| ~ transmit_message(X474,X475,X476,X477,X478)
| ~ occurrence_of(X479,X474) )
& ( occurrence_of(esk16_6(X474,X475,X476,X477,X478,X479),esk15_6(X474,X475,X476,X477,X478,X479))
| ~ transmit_message(X474,X475,X476,X477,X478)
| ~ occurrence_of(X479,X474) )
& ( root_occ(esk16_6(X474,X475,X476,X477,X478,X479),X479)
| ~ transmit_message(X474,X475,X476,X477,X478)
| ~ occurrence_of(X479,X474) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_51])])])]) ).
fof(c_0_34,plain,
! [X389,X390,X392,X393,X394] :
( ( occurrence_of(X390,esk10_2(X389,X390))
| ~ root_occ(X389,X390) )
& ( subactivity_occurrence(X389,X390)
| ~ root_occ(X389,X390) )
& ( root(X389,esk10_2(X389,X390))
| ~ root_occ(X389,X390) )
& ( ~ occurrence_of(X393,X394)
| ~ subactivity_occurrence(X392,X393)
| ~ root(X392,X394)
| root_occ(X392,X393) ) ),
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_35,plain,
( subactivity_occurrence(esk1_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
~ atomic(esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
( send_message(esk15_6(X1,X2,X3,X4,X5,X6),X2,X3,X4,X5)
| ~ transmit_message(X1,X2,X3,X4,X5)
| ~ occurrence_of(X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_39,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
subactivity_occurrence(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).
cnf(c_0_41,plain,
( root(esk1_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_42,plain,
! [X452,X453,X454,X455,X456,X457] :
( ~ send_message(X452,X453,X454,X455,X456)
| ~ occurrence_of(X457,X452)
| min_precedes(X455,X457,X456) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])]) ).
cnf(c_0_43,negated_conjecture,
( send_message(esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,X1),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0)
| ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_44,plain,
( occurrence_of(esk16_6(X1,X2,X3,X4,X5,X6),esk15_6(X1,X2,X3,X4,X5,X6))
| ~ transmit_message(X1,X2,X3,X4,X5)
| ~ occurrence_of(X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_45,plain,
! [X428,X429,X430,X431] :
( ~ occurrence_of(X430,X431)
| ~ root_occ(X428,X430)
| ~ root_occ(X429,X430)
| X428 = X429 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
cnf(c_0_46,negated_conjecture,
( root_occ(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| ~ root(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X1)
| ~ occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
root(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_36]),c_0_37]) ).
cnf(c_0_48,plain,
( root_occ(esk16_6(X1,X2,X3,X4,X5,X6),X6)
| ~ transmit_message(X1,X2,X3,X4,X5)
| ~ occurrence_of(X6,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,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_50,negated_conjecture,
send_message(esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0),
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_51,negated_conjecture,
( occurrence_of(esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,X1),esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,X1))
| ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_52,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,negated_conjecture,
root_occ(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_47])]) ).
cnf(c_0_54,negated_conjecture,
( root_occ(esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,X1),X1)
| ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0)) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
fof(c_0_55,plain,
! [X342,X343,X344] :
( ( occurrence_of(esk3_3(X342,X343,X344),X342)
| ~ min_precedes(X343,X344,X342) )
& ( subactivity_occurrence(X343,esk3_3(X342,X343,X344))
| ~ min_precedes(X343,X344,X342) )
& ( subactivity_occurrence(X344,esk3_3(X342,X343,X344))
| ~ min_precedes(X343,X344,X342) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])]) ).
cnf(c_0_56,negated_conjecture,
( min_precedes(esk22_0,X1,tptp0)
| ~ occurrence_of(X1,esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
occurrence_of(esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),
inference(spm,[status(thm)],[c_0_51,c_0_36]) ).
cnf(c_0_58,negated_conjecture,
( X1 = esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| ~ root_occ(X1,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| ~ occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
root_occ(esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(spm,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_60,plain,
( subactivity_occurrence(X1,esk3_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
min_precedes(esk22_0,esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),tptp0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)) = esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| ~ occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,esk23_0),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X145,X146,X147] :
( tptp1(X145,X146,X147)
=> ( activity(X145)
& ~ atomic(X145)
& ~ atomic(X146)
& root(X147,X146) ) ),
inference(fof_simplification,[status(thm)],[sos_52]) ).
cnf(c_0_64,negated_conjecture,
subactivity_occurrence(esk22_0,esk3_3(tptp0,esk22_0,esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,negated_conjecture,
esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)) = esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(spm,[status(thm)],[c_0_62,c_0_36]) ).
fof(c_0_66,plain,
! [X482,X483,X484] :
( ( activity(X482)
| ~ tptp1(X482,X483,X484) )
& ( ~ atomic(X482)
| ~ tptp1(X482,X483,X484) )
& ( ~ atomic(X483)
| ~ tptp1(X482,X483,X484) )
& ( root(X484,X483)
| ~ tptp1(X482,X483,X484) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
cnf(c_0_67,plain,
( occurrence_of(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_68,negated_conjecture,
subactivity_occurrence(esk22_0,esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( root(X1,X2)
| ~ tptp1(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_70,negated_conjecture,
occurrence_of(esk3_3(tptp0,esk22_0,esk16_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),tptp0),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
( root_occ(esk22_0,esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))))
| ~ root(esk22_0,X1)
| ~ occurrence_of(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_68]) ).
cnf(c_0_72,negated_conjecture,
root(esk22_0,tptp0),
inference(spm,[status(thm)],[c_0_69,c_0_23]) ).
cnf(c_0_73,negated_conjecture,
occurrence_of(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),tptp0),
inference(rw,[status(thm)],[c_0_70,c_0_65]) ).
fof(c_0_74,plain,
! [X439] :
( ( occurrence_of(esk13_1(X439),tptp4)
| ~ occurrence_of(X439,tptp0) )
& ( root_occ(esk13_1(X439),X439)
| ~ occurrence_of(X439,tptp0) )
& ( occurrence_of(esk14_1(X439),tptp3)
| occurrence_of(esk14_1(X439),tptp2)
| ~ occurrence_of(X439,tptp0) )
& ( leaf_occ(esk14_1(X439),X439)
| ~ occurrence_of(X439,tptp0) )
& ( next_subocc(esk13_1(X439),esk14_1(X439),tptp0)
| ~ occurrence_of(X439,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])]) ).
cnf(c_0_75,negated_conjecture,
root_occ(esk22_0,esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_76,plain,
( root_occ(esk13_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_77,negated_conjecture,
( X1 = esk22_0
| ~ root_occ(X1,esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))))
| ~ occurrence_of(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
root_occ(esk13_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_76,c_0_73]) ).
fof(c_0_79,plain,
! [X360,X361] :
( ( activity_occurrence(X360)
| ~ subactivity_occurrence(X360,X361) )
& ( activity_occurrence(X361)
| ~ subactivity_occurrence(X360,X361) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])]) ).
cnf(c_0_80,negated_conjecture,
( esk13_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))) = esk22_0
| ~ occurrence_of(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_81,plain,
! [X362] :
( ( activity(esk5_1(X362))
| ~ activity_occurrence(X362) )
& ( occurrence_of(X362,esk5_1(X362))
| ~ activity_occurrence(X362) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
cnf(c_0_82,plain,
( activity_occurrence(X1)
| ~ subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
fof(c_0_83,plain,
! [X333,X334] :
( ( activity(X333)
| ~ occurrence_of(X334,X333) )
& ( activity_occurrence(X334)
| ~ occurrence_of(X334,X333) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])]) ).
cnf(c_0_84,plain,
( occurrence_of(esk14_1(X1),tptp3)
| occurrence_of(esk14_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_85,plain,
! [X324,X325,X326,X327,X328] :
( ~ occurrence_of(X325,X324)
| ~ root_occ(X327,X325)
| ~ leaf_occ(X328,X325)
| ~ subactivity_occurrence(X326,X325)
| ~ min_precedes(X327,X326,X324)
| X326 = X328
| min_precedes(X326,X328,X324) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])]) ).
fof(c_0_86,plain,
! [X412,X413,X414,X415,X416,X417,X418] :
( ( min_precedes(X412,X413,X414)
| ~ next_subocc(X412,X413,X414) )
& ( ~ min_precedes(X412,X415,X414)
| ~ min_precedes(X415,X413,X414)
| ~ next_subocc(X412,X413,X414) )
& ( min_precedes(X416,esk12_3(X416,X417,X418),X418)
| ~ min_precedes(X416,X417,X418)
| next_subocc(X416,X417,X418) )
& ( min_precedes(esk12_3(X416,X417,X418),X417,X418)
| ~ min_precedes(X416,X417,X418)
| next_subocc(X416,X417,X418) ) ),
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_87,plain,
( next_subocc(esk13_1(X1),esk14_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_88,negated_conjecture,
esk13_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))) = esk22_0,
inference(spm,[status(thm)],[c_0_80,c_0_73]) ).
fof(c_0_89,plain,
! [X349,X350,X351] :
( ~ occurrence_of(X349,X350)
| ~ occurrence_of(X349,X351)
| X350 = X351 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
cnf(c_0_90,plain,
( occurrence_of(X1,esk5_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_91,negated_conjecture,
activity_occurrence(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),
inference(spm,[status(thm)],[c_0_82,c_0_40]) ).
cnf(c_0_92,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_93,negated_conjecture,
( occurrence_of(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp2)
| occurrence_of(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp3) ),
inference(spm,[status(thm)],[c_0_84,c_0_73]) ).
cnf(c_0_94,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_85]) ).
cnf(c_0_95,negated_conjecture,
min_precedes(esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),tptp0),
inference(rw,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_96,plain,
( subactivity_occurrence(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_97,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_98,negated_conjecture,
next_subocc(esk22_0,esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_73]),c_0_88]) ).
cnf(c_0_99,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_100,negated_conjecture,
occurrence_of(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
activity_occurrence(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))))),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_92]) ).
cnf(c_0_102,negated_conjecture,
( X1 = esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| min_precedes(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X1,tptp0)
| ~ leaf_occ(X1,X2)
| ~ root_occ(esk22_0,X2)
| ~ subactivity_occurrence(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X2)
| ~ occurrence_of(X2,tptp0) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_103,negated_conjecture,
subactivity_occurrence(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_96,c_0_95]) ).
cnf(c_0_104,plain,
( leaf_occ(esk14_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_105,negated_conjecture,
( ~ min_precedes(X1,esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp0)
| ~ min_precedes(esk22_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( X1 = esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))
| ~ occurrence_of(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
occurrence_of(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),
inference(rw,[status(thm)],[c_0_57,c_0_65]) ).
cnf(c_0_108,negated_conjecture,
( X1 = tptp2
| occurrence_of(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp3)
| ~ occurrence_of(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_93]) ).
cnf(c_0_109,negated_conjecture,
occurrence_of(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),esk5_1(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))))),
inference(spm,[status(thm)],[c_0_90,c_0_101]) ).
cnf(c_0_110,negated_conjecture,
( X1 = esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| min_precedes(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X1,tptp0)
| ~ leaf_occ(X1,esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_75]),c_0_103]),c_0_73])]) ).
cnf(c_0_111,negated_conjecture,
leaf_occ(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),
inference(spm,[status(thm)],[c_0_104,c_0_73]) ).
cnf(c_0_112,negated_conjecture,
~ min_precedes(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp0),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
fof(c_0_113,plain,
! [X447,X448,X449,X450,X451] :
( ( X447 != tptp4
| ~ send_message(X447,X448,X449,X450,X451) )
& ( X447 != tptp3
| ~ send_message(X447,X448,X449,X450,X451) )
& ( X447 != tptp2
| ~ send_message(X447,X448,X449,X450,X451) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])])]) ).
cnf(c_0_114,negated_conjecture,
esk15_6(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)) = esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_115,negated_conjecture,
( esk5_1(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))))) = tptp2
| occurrence_of(esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))),tptp3) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
esk14_1(esk3_3(tptp0,esk22_0,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)))) = esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
cnf(c_0_117,plain,
( X1 != tptp2
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_118,negated_conjecture,
send_message(esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))),esk18_4(esk21_0,tptp0,esk22_0,esk23_0),esk19_4(esk21_0,tptp0,esk22_0,esk23_0),esk22_0,tptp0),
inference(rw,[status(thm)],[c_0_50,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))) = tptp2
| occurrence_of(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),tptp3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_116]),c_0_116]) ).
cnf(c_0_120,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_117]) ).
cnf(c_0_121,negated_conjecture,
occurrence_of(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),tptp3),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]) ).
cnf(c_0_122,plain,
( X1 != tptp3
| ~ send_message(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_123,negated_conjecture,
esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))) = tptp3,
inference(spm,[status(thm)],[c_0_106,c_0_121]) ).
cnf(c_0_124,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_122]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_123]),c_0_124]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : PRO001+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Tue May 5 01:30:01 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 5.88/4.20 % Version : CSE_E---1.7
% 5.88/4.20 % Problem : theBenchmark.p
% 5.88/4.20 % SZS status Theorem for theBenchmark.p
% 5.88/4.20 % SZS output start CNFRefutation
% See solution above
% 5.88/4.21 % Total time : 3.361s
%------------------------------------------------------------------------------