%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO001+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:28 PM UTC 2026
% Result : Theorem 18.54s 8.04s
% Output : CNFRefutation 18.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 127 ( 38 unt; 0 def)
% Number of atoms : 379 ( 37 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 415 ( 163 ~; 146 |; 84 &)
% ( 2 <=>; 20 =>; 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 : 279 ( 26 sgn 141 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
~ ? [X158,X159,X160] :
( occurrence_of(X160,X158)
& tptp1(X158,tptp0,X159) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_53,axiom,
! [X148,X149,X150,X151] :
( ( occurrence_of(X151,X148)
& tptp1(X148,X149,X150) )
=> ? [X152,X153,X154,X155] :
( subactivity_occurrence(X155,X151)
& occurrence_of(X155,X152)
& transmit_message(X152,X153,X154,X150,X149) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).
fof(sos_48,axiom,
! [X121,X122,X123,X124,X125] :
( transmit_message(X121,X122,X123,X124,X125)
=> ( root(X124,X125)
& root(X122,X123)
& ~ atomic(X121)
& activity(X121) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(sos_51,axiom,
! [X137,X138,X139,X140,X141,X142] :
( ( occurrence_of(X142,X137)
& transmit_message(X137,X138,X139,X140,X141) )
=> ? [X143,X144] :
( root_occ(X144,X142)
& occurrence_of(X144,X143)
& send_message(X143,X138,X139,X140,X141) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(sos,axiom,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(sos_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( root(X59,X61)
& subactivity_occurrence(X59,X60)
& occurrence_of(X60,X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(sos_47,axiom,
! [X115,X116,X117,X118,X119,X120] :
( ( occurrence_of(X120,X115)
& send_message(X115,X116,X117,X118,X119) )
=> min_precedes(X118,X120,X119) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( root_occ(X92,X93)
& root_occ(X91,X93)
& occurrence_of(X93,X94) )
=> X91 = X92 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(sos_06,axiom,
! [X22,X23,X24] :
( min_precedes(X23,X24,X22)
=> ? [X25] :
( subactivity_occurrence(X24,X25)
& subactivity_occurrence(X23,X25)
& occurrence_of(X25,X22) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(sos_52,axiom,
! [X145,X146,X147] :
( tptp1(X145,X146,X147)
=> ( root(X147,X146)
& ~ atomic(X146)
& ~ atomic(X145)
& activity(X145) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(sos_01,axiom,
! [X4,X5,X6,X7,X8] :
( ( X6 != X8
& min_precedes(X7,X6,X4)
& subactivity_occurrence(X6,X5)
& leaf_occ(X8,X5)
& root_occ(X7,X5)
& occurrence_of(X5,X4) )
=> min_precedes(X6,X8,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(sos_11,axiom,
! [X40,X41] :
( subactivity_occurrence(X40,X41)
=> ( activity_occurrence(X41)
& activity_occurrence(X40) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104] :
( next_subocc(X103,X104,tptp0)
& leaf_occ(X104,X102)
& ( occurrence_of(X104,tptp2)
| occurrence_of(X104,tptp3) )
& root_occ(X103,X102)
& occurrence_of(X103,tptp4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( occurrence_of(X42,X43)
& activity(X43) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity_occurrence(X14)
& activity(X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X31)
& occurrence_of(X29,X30) )
=> X30 = X31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( ~ ? [X82] :
( min_precedes(X82,X80,X81)
& min_precedes(X79,X82,X81) )
& min_precedes(X79,X80,X81) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_46,axiom,
! [X110,X111,X112,X113,X114] :
( send_message(X110,X111,X112,X113,X114)
=> ( X110 != tptp2
& X110 != tptp3
& X110 != tptp4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(c_0_18,negated_conjecture,
~ ~ ? [X158,X159,X160] :
( occurrence_of(X160,X158)
& tptp1(X158,tptp0,X159) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_19,plain,
! [X325,X326,X327,X328] :
( ( ~ occurrence_of(X328,X325)
| ~ tptp1(X325,X326,X327)
| subactivity_occurrence(esk20_4(X325,X326,X327,X328),X328) )
& ( ~ occurrence_of(X328,X325)
| ~ tptp1(X325,X326,X327)
| occurrence_of(esk20_4(X325,X326,X327,X328),esk17_4(X325,X326,X327,X328)) )
& ( ~ occurrence_of(X328,X325)
| ~ tptp1(X325,X326,X327)
| transmit_message(esk17_4(X325,X326,X327,X328),esk18_4(X325,X326,X327,X328),esk19_4(X325,X326,X327,X328),X327,X326) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_53])])])])]) ).
fof(c_0_20,negated_conjecture,
( occurrence_of(esk23_0,esk21_0)
& tptp1(esk21_0,tptp0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_21,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| transmit_message(esk17_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
tptp1(esk21_0,tptp0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_23,plain,
! [X121,X122,X123,X124,X125] :
( transmit_message(X121,X122,X123,X124,X125)
=> ( root(X124,X125)
& root(X122,X123)
& ~ atomic(X121)
& activity(X121) ) ),
inference(fof_simplification,[status(thm)],[sos_48]) ).
fof(c_0_24,plain,
! [X314,X315,X316,X317,X318,X319] :
( ( ~ occurrence_of(X319,X314)
| ~ transmit_message(X314,X315,X316,X317,X318)
| root_occ(esk16_6(X314,X315,X316,X317,X318,X319),X319) )
& ( ~ occurrence_of(X319,X314)
| ~ transmit_message(X314,X315,X316,X317,X318)
| occurrence_of(esk16_6(X314,X315,X316,X317,X318,X319),esk15_6(X314,X315,X316,X317,X318,X319)) )
& ( ~ occurrence_of(X319,X314)
| ~ transmit_message(X314,X315,X316,X317,X318)
| send_message(esk15_6(X314,X315,X316,X317,X318,X319),X315,X316,X317,X318) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_51])])])])]) ).
cnf(c_0_25,negated_conjecture,
( ~ occurrence_of(X1,esk21_0)
| 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) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
occurrence_of(esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| occurrence_of(esk20_4(X1,X2,X3,X4),esk17_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_28,plain,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_29,plain,
! [X298,X299,X300,X301,X302] :
( ( ~ transmit_message(X298,X299,X300,X301,X302)
| root(X301,X302) )
& ( ~ transmit_message(X298,X299,X300,X301,X302)
| root(X299,X300) )
& ( ~ transmit_message(X298,X299,X300,X301,X302)
| ~ atomic(X298) )
& ( ~ transmit_message(X298,X299,X300,X301,X302)
| activity(X298) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_30,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| send_message(esk15_6(X1,X2,X3,X4,X5,X6),X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,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_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ occurrence_of(X1,esk21_0)
| occurrence_of(esk20_4(esk21_0,tptp0,esk22_0,X1),esk17_4(esk21_0,tptp0,esk22_0,X1)) ),
inference(spm,[status(thm)],[c_0_27,c_0_22]) ).
fof(c_0_33,plain,
! [X229,X230,X232,X233,X234] :
( ( root_occ(X232,X233)
| ~ root(X232,X234)
| ~ subactivity_occurrence(X232,X233)
| ~ occurrence_of(X233,X234) )
& ( ~ root_occ(X229,X230)
| root(X229,esk10_2(X229,X230)) )
& ( ~ root_occ(X229,X230)
| subactivity_occurrence(X229,X230) )
& ( ~ root_occ(X229,X230)
| occurrence_of(X230,esk10_2(X229,X230)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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])])])])])])]) ).
fof(c_0_34,plain,
! [X161,X162] :
( ( atomic(X161)
| ~ occurrence_of(X162,X161)
| subactivity_occurrence(esk1_2(X161,X162),X162) )
& ( atomic(X161)
| ~ occurrence_of(X162,X161)
| root(esk1_2(X161,X162),X161) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])]) ).
cnf(c_0_35,plain,
( ~ transmit_message(X1,X2,X3,X4,X5)
| ~ atomic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_36,plain,
! [X292,X293,X294,X295,X296,X297] :
( min_precedes(X295,X297,X296)
| ~ occurrence_of(X297,X292)
| ~ send_message(X292,X293,X294,X295,X296) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])])]) ).
cnf(c_0_37,negated_conjecture,
( ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0))
| 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) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,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_32,c_0_26]) ).
cnf(c_0_39,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| occurrence_of(esk16_6(X1,X2,X3,X4,X5,X6),esk15_6(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_40,plain,
! [X268,X269,X270,X271] :
( X268 = X269
| ~ root_occ(X269,X270)
| ~ root_occ(X268,X270)
| ~ occurrence_of(X270,X271) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_41,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
~ atomic(esk17_4(esk21_0,tptp0,esk22_0,esk23_0)),
inference(spm,[status(thm)],[c_0_35,c_0_31]) ).
cnf(c_0_44,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( ~ occurrence_of(X6,X1)
| ~ send_message(X1,X2,X3,X4,X5)
| min_precedes(X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,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_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
( ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0))
| 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)) ),
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_48,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( ~ root(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0))
| ~ subactivity_occurrence(X1,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| root_occ(X1,esk20_4(esk21_0,tptp0,esk22_0,esk23_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_50,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_42,c_0_38]),c_0_43]) ).
cnf(c_0_51,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_44,c_0_38]),c_0_43]) ).
cnf(c_0_52,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| root_occ(esk16_6(X1,X2,X3,X4,X5,X6),X6) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_53,plain,
! [X182,X183,X184] :
( ( ~ min_precedes(X183,X184,X182)
| subactivity_occurrence(X184,esk3_3(X182,X183,X184)) )
& ( ~ min_precedes(X183,X184,X182)
| subactivity_occurrence(X183,esk3_3(X182,X183,X184)) )
& ( ~ min_precedes(X183,X184,X182)
| occurrence_of(esk3_3(X182,X183,X184),X182) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])])])])]) ).
cnf(c_0_54,negated_conjecture,
( ~ 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)))
| min_precedes(esk22_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,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_47,c_0_38]) ).
cnf(c_0_56,negated_conjecture,
( ~ root_occ(X1,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| ~ root_occ(X2,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_48,c_0_38]) ).
cnf(c_0_57,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_49,c_0_50]),c_0_51])]) ).
cnf(c_0_58,negated_conjecture,
( ~ occurrence_of(X1,esk17_4(esk21_0,tptp0,esk22_0,esk23_0))
| 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) ),
inference(spm,[status(thm)],[c_0_52,c_0_31]) ).
cnf(c_0_59,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk3_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,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_54,c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( ~ root_occ(X1,esk20_4(esk21_0,tptp0,esk22_0,esk23_0))
| X1 = 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_56,c_0_57]) ).
cnf(c_0_62,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_58,c_0_38]) ).
fof(c_0_63,plain,
! [X145,X146,X147] :
( tptp1(X145,X146,X147)
=> ( root(X147,X146)
& ~ atomic(X146)
& ~ atomic(X145)
& activity(X145) ) ),
inference(fof_simplification,[status(thm)],[sos_52]) ).
cnf(c_0_64,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_59,c_0_60]) ).
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_61,c_0_62]) ).
fof(c_0_66,plain,
! [X322,X323,X324] :
( ( ~ tptp1(X322,X323,X324)
| root(X324,X323) )
& ( ~ tptp1(X322,X323,X324)
| ~ atomic(X323) )
& ( ~ tptp1(X322,X323,X324)
| ~ atomic(X322) )
& ( ~ tptp1(X322,X323,X324)
| activity(X322) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])]) ).
cnf(c_0_67,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk3_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_68,plain,
! [X4,X5,X6,X7,X8] :
( ( X6 != X8
& min_precedes(X7,X6,X4)
& subactivity_occurrence(X6,X5)
& leaf_occ(X8,X5)
& root_occ(X7,X5)
& occurrence_of(X5,X4) )
=> min_precedes(X6,X8,X4) ),
inference(fof_simplification,[status(thm)],[sos_01]) ).
cnf(c_0_69,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(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,plain,
( ~ tptp1(X3,X2,X1)
| root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,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_67,c_0_60]) ).
fof(c_0_72,plain,
! [X200,X201] :
( ( ~ subactivity_occurrence(X200,X201)
| activity_occurrence(X201) )
& ( ~ subactivity_occurrence(X200,X201)
| activity_occurrence(X200) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])]) ).
fof(c_0_73,plain,
! [X279] :
( ( ~ occurrence_of(X279,tptp0)
| next_subocc(esk13_1(X279),esk14_1(X279),tptp0) )
& ( ~ occurrence_of(X279,tptp0)
| leaf_occ(esk14_1(X279),X279) )
& ( ~ occurrence_of(X279,tptp0)
| occurrence_of(esk14_1(X279),tptp2)
| occurrence_of(esk14_1(X279),tptp3) )
& ( ~ occurrence_of(X279,tptp0)
| root_occ(esk13_1(X279),X279) )
& ( ~ occurrence_of(X279,tptp0)
| occurrence_of(esk13_1(X279),tptp4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])]) ).
fof(c_0_74,plain,
! [X164,X165,X166,X167,X168] :
( min_precedes(X166,X168,X164)
| X166 = X168
| ~ min_precedes(X167,X166,X164)
| ~ subactivity_occurrence(X166,X165)
| ~ leaf_occ(X168,X165)
| ~ root_occ(X167,X165)
| ~ occurrence_of(X165,X164) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
cnf(c_0_75,negated_conjecture,
( ~ root(X1,tptp0)
| ~ subactivity_occurrence(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))))
| 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)))) ),
inference(spm,[status(thm)],[c_0_41,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
root(esk22_0,tptp0),
inference(spm,[status(thm)],[c_0_70,c_0_22]) ).
cnf(c_0_77,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(spm,[status(thm)],[c_0_71,c_0_65]) ).
fof(c_0_78,plain,
! [X202] :
( ( ~ activity_occurrence(X202)
| occurrence_of(X202,esk5_1(X202)) )
& ( ~ activity_occurrence(X202)
| activity(esk5_1(X202)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])])]) ).
cnf(c_0_79,plain,
( ~ subactivity_occurrence(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
fof(c_0_80,plain,
! [X173,X174] :
( ( ~ occurrence_of(X174,X173)
| activity_occurrence(X174) )
& ( ~ occurrence_of(X174,X173)
| activity(X173) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])])]) ).
cnf(c_0_81,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk14_1(X1),tptp2)
| occurrence_of(esk14_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_82,plain,
( ~ min_precedes(X3,X5,X2)
| ~ subactivity_occurrence(X5,X1)
| ~ leaf_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| min_precedes(X5,X4,X2)
| X5 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_83,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_60,c_0_65]) ).
cnf(c_0_84,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk14_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_85,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk3_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_86,negated_conjecture,
( ~ 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))))
| ~ root_occ(X2,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 = X2 ),
inference(spm,[status(thm)],[c_0_48,c_0_69]) ).
cnf(c_0_87,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_75,c_0_76]),c_0_77])]) ).
cnf(c_0_88,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk13_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
fof(c_0_89,plain,
! [X189,X190,X191] :
( X190 = X191
| ~ occurrence_of(X189,X191)
| ~ occurrence_of(X189,X190) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
cnf(c_0_90,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
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_79,c_0_51]) ).
cnf(c_0_92,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
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)))),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)))),tptp2) ),
inference(spm,[status(thm)],[c_0_81,c_0_69]) ).
fof(c_0_94,plain,
! [X252,X253,X254,X255,X256,X257,X258] :
( ( next_subocc(X256,X257,X258)
| ~ min_precedes(X256,X257,X258)
| min_precedes(esk12_3(X256,X257,X258),X257,X258) )
& ( next_subocc(X256,X257,X258)
| ~ min_precedes(X256,X257,X258)
| min_precedes(X256,esk12_3(X256,X257,X258),X258) )
& ( ~ next_subocc(X252,X253,X254)
| ~ min_precedes(X255,X253,X254)
| ~ min_precedes(X252,X255,X254) )
& ( ~ next_subocc(X252,X253,X254)
| min_precedes(X252,X253,X254) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_95,negated_conjecture,
( ~ occurrence_of(X2,tptp0)
| ~ subactivity_occurrence(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X2)
| ~ root_occ(esk22_0,X2)
| ~ leaf_occ(X1,X2)
| min_precedes(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X1,tptp0)
| X1 = 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_83]) ).
cnf(c_0_96,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_84,c_0_69]) ).
cnf(c_0_97,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_85,c_0_83]) ).
cnf(c_0_98,negated_conjecture,
( ~ 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))))
| X1 = esk22_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_99,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_88,c_0_69]) ).
cnf(c_0_100,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_101,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_102,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_103,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,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)
| 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_87]),c_0_97]),c_0_69])]) ).
cnf(c_0_105,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_106,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_98,c_0_99]) ).
fof(c_0_107,plain,
! [X110,X111,X112,X113,X114] :
( send_message(X110,X111,X112,X113,X114)
=> ( X110 != tptp2
& X110 != tptp3
& X110 != tptp4 ) ),
inference(fof_simplification,[status(thm)],[sos_46]) ).
cnf(c_0_108,negated_conjecture,
( ~ occurrence_of(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),X1)
| X1 = 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_100,c_0_101]) ).
cnf(c_0_109,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_55,c_0_65]) ).
cnf(c_0_110,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)))),X1)
| 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)
| X1 = tptp2 ),
inference(spm,[status(thm)],[c_0_100,c_0_93]) ).
cnf(c_0_111,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_102]) ).
cnf(c_0_112,negated_conjecture,
( ~ min_precedes(X1,esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0)),tptp0)
| ~ next_subocc(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)
| 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(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,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_105,c_0_69]),c_0_106]) ).
fof(c_0_114,plain,
! [X287,X288,X289,X290,X291] :
( ( ~ send_message(X287,X288,X289,X290,X291)
| X287 != tptp2 )
& ( ~ send_message(X287,X288,X289,X290,X291)
| X287 != tptp3 )
& ( ~ send_message(X287,X288,X289,X290,X291)
| X287 != tptp4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])])]) ).
cnf(c_0_115,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_108,c_0_109]) ).
cnf(c_0_116,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)))),tptp3)
| 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 ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_83]),c_0_113])]) ).
cnf(c_0_118,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp2 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_119,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_46,c_0_115]) ).
cnf(c_0_120,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)
| esk5_1(esk1_2(esk17_4(esk21_0,tptp0,esk22_0,esk23_0),esk20_4(esk21_0,tptp0,esk22_0,esk23_0))) = tptp2 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117]),c_0_117]) ).
cnf(c_0_121,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_118]) ).
cnf(c_0_122,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_119,c_0_120]),c_0_121]) ).
cnf(c_0_123,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp3 ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_124,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_108,c_0_122]) ).
cnf(c_0_125,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_123]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_124]),c_0_125]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO001+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/5.65 % Computer : n006.cluster.edu
% 0.18/5.65 % Model : x86_64 x86_64
% 0.18/5.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.65 % Memory : 8046.5625MB
% 0.18/5.65 % OS : Linux 6.8.0-71-generic
% 0.18/5.65 % CPULimit : 300
% 0.18/5.65 % WCLimit : 300
% 0.18/5.65 % DateTime : Mon Sep 21 03:39:36 UTC 2026
% 0.18/5.65 % CPUTime :
% 0.18/5.65 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/5.70 Running first-order theorem proving
% 0.21/5.70 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.54/8.04 % Version: 3.5.1
% 18.54/8.04 % Preprocessing class: FSLSSMSSSSSNFFN.
% 18.54/8.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 18.54/8.04 % Starting new_bool_3 with 300s (1) cores
% 18.54/8.04 % Starting new_bool_1 with 300s (1) cores
% 18.54/8.04 % Starting sh5l with 300s (1) cores
% 18.54/8.04 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1929227 completed with status 0
% 18.54/8.04 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 18.54/8.04 % Preprocessing class: FSLSSMSSSSSNFFN.
% 18.54/8.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 18.54/8.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.54/8.04 % No SInE strategy applied
% 18.54/8.04 % Search class: FGHSF-FFMM32-SFFFFFNN
% 18.54/8.04 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.54/8.04 % Starting SubtermCWHack with 136s (1) cores
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 18.54/8.04 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 18.54/8.04 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 18.54/8.04 % G-E--_208_C18_F1_SE_CS_SP_PS_S2g with pid 1929236 completed with status 0
% 18.54/8.04 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2g
% 18.54/8.04 % Preprocessing class: FSLSSMSSSSSNFFN.
% 18.54/8.04 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 18.54/8.04 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 18.54/8.04 % No SInE strategy applied
% 18.54/8.04 % Search class: FGHSF-FFMM32-SFFFFFNN
% 18.54/8.04 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 18.54/8.04 % Starting SubtermCWHack with 136s (1) cores
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 18.54/8.04 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 18.54/8.04 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 18.54/8.04 % Preprocessing time : 0.003 s
% 18.54/8.04 % Presaturation interreduction done
% 18.54/8.04
% 18.54/8.04 % Proof found!
% 18.54/8.04 % SZS status Theorem
% 18.54/8.04 % SZS output start CNFRefutation
% See solution above
% 18.54/8.04 % Parsed axioms : 56
% 18.54/8.04 % Removed by relevancy pruning/SinE : 0
% 18.54/8.04 % Initial clauses : 104
% 18.54/8.04 % Removed in clause preprocessing : 0
% 18.54/8.04 % Initial clauses in saturation : 104
% 18.54/8.04 % Processed clauses : 12358
% 18.54/8.04 % ...of these trivial : 952
% 18.54/8.04 % ...subsumed : 6618
% 18.54/8.04 % ...remaining for further processing : 4788
% 18.54/8.04 % Other redundant clauses eliminated : 3
% 18.54/8.04 % Clauses deleted for lack of memory : 0
% 18.54/8.04 % Backward-subsumed : 378
% 18.54/8.04 % Backward-rewritten : 913
% 18.54/8.04 % Generated clauses : 22442
% 18.54/8.04 % ...of the previous two non-redundant : 21595
% 18.54/8.04 % ...aggressively subsumed : 0
% 18.54/8.04 % Contextual simplify-reflections : 224
% 18.54/8.04 % Paramodulations : 21659
% 18.54/8.04 % Factorizations : 1
% 18.54/8.04 % NegExts : 0
% 18.54/8.04 % Equation resolutions : 3
% 18.54/8.04 % Disequality decompositions : 0
% 18.54/8.04 % Total rewrite steps : 9801
% 18.54/8.04 % ...of those cached : 9553
% 18.54/8.04 % Propositional unsat checks : 0
% 18.54/8.04 % Propositional check models : 0
% 18.54/8.04 % Propositional check unsatisfiable : 0
% 18.54/8.04 % Propositional clauses : 0
% 18.54/8.04 % Propositional clauses after purity: 0
% 18.54/8.04 % Propositional unsat core size : 0
% 18.54/8.04 % Propositional preprocessing time : 0.000
% 18.54/8.04 % Propositional encoding time : 0.000
% 18.54/8.04 % Propositional solver time : 0.000
% 18.54/8.04 % Success case prop preproc time : 0.000
% 18.54/8.04 % Success case prop encoding time : 0.000
% 18.54/8.04 % Success case prop solver time : 0.000
% 18.54/8.04 % Current number of processed clauses : 2611
% 18.54/8.04 % Positive orientable unit clauses : 272
% 18.54/8.04 % Positive unorientable unit clauses: 0
% 18.54/8.04 % Negative unit clauses : 56
% 18.54/8.04 % Non-unit-clauses : 2283
% 18.54/8.04 % Current number of unprocessed clauses: 6002
% 18.54/8.04 % ...number of literals in the above : 24852
% 18.54/8.04 % Current number of archived formulas : 0
% 18.54/8.04 % Current number of archived clauses : 2174
% 18.54/8.04 % Clause-clause subsumption calls (NU) : 2577178
% 18.54/8.04 % Rec. Clause-clause subsumption calls : 1261065
% 18.54/8.04 % Non-unit clause-clause subsumptions : 6447
% 18.54/8.04 % Unit Clause-clause subsumption calls : 50214
% 18.54/8.04 % Rewrite failures with RHS unbound : 0
% 18.54/8.04 % BW rewrite match attempts : 525
% 18.54/8.04 % BW rewrite match successes : 57
% 18.54/8.04 % Condensation attempts : 0
% 18.54/8.04 % Condensation successes : 0
% 18.54/8.04 % Termbank termtop insertions : 946757
% 18.54/8.04 % Search garbage collected termcells : 1556
% 18.54/8.04
% 18.54/8.04 % -------------------------------------------------
% 18.54/8.04 % User time : 2.139 s
% 18.54/8.04 % System time : 0.032 s
% 18.54/8.04 % Total time : 2.171 s
% 18.54/8.04 % Maximum resident set size: 3996 pages
% 18.54/8.04
% 18.54/8.04 % -------------------------------------------------
% 18.54/8.04 % User time : 11.190 s
% 18.54/8.04 % System time : 0.179 s
% 18.54/8.04 % Total time : 11.369 s
% 18.54/8.04 % Maximum resident set size: 5120 pages
% 18.54/8.04 % E exiting
%------------------------------------------------------------------------------