%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO002+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 272.06s 37.08s
% Output : CNFRefutation 272.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 29
% Syntax : Number of formulae : 257 ( 105 unt; 0 def)
% Number of atoms : 633 ( 64 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 612 ( 236 ~; 247 |; 97 &)
% ( 7 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-5 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-4 aty)
% Number of variables : 354 ( 31 sgn 172 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_51,axiom,
! [X125,X126,X127] :
( tptp1(X125,X126,X127)
=> ( root(X127,X126)
& ~ atomic(X126)
& ~ atomic(X125)
& activity(X125) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(goals,conjecture,
~ ? [X138,X139,X140] :
( occurrence_of(X140,X138)
& tptp1(X138,tptp0,X139) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(sos_52,axiom,
! [X128,X129,X130,X131] :
( ( occurrence_of(X131,X128)
& tptp1(X128,X129,X130) )
=> ? [X132,X133,X134,X135] :
( root_occ(X135,X131)
& occurrence_of(X135,X132)
& send_message(X132,X133,X134,X130,X129) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
fof(sos_24,axiom,
! [X68,X69] :
( subactivity_occurrence(X68,X69)
=> ( activity_occurrence(X69)
& activity_occurrence(X68) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( root(X100,X102)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,X102) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_33) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( occurrence_of(X3,X4)
& activity(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_16,axiom,
! [X42,X43] :
( root(X42,X43)
=> legal(X42) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( ~ atomic(X74)
& root(X75,X74) )
=> ? [X76] :
( subactivity_occurrence(X75,X76)
& occurrence_of(X76,X74) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_37,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(sos_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_50,axiom,
! [X119,X120,X121,X122,X123,X124] :
( ( occurrence_of(X124,X119)
& send_message(X119,X120,X121,X122,X123) )
=> min_precedes(X122,X124,X123) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_50) ).
fof(sos_28,axiom,
! [X80,X81,X82,X83] :
( ( subactivity_occurrence(X83,X81)
& subactivity_occurrence(X82,X81)
& arboreal(X83)
& arboreal(X82)
& occurrence_of(X81,X80) )
=> ( X82 = X83
| min_precedes(X83,X82,X80)
| min_precedes(X82,X83,X80) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_35,axiom,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( next_subocc(X107,X108,tptp0)
& leaf_occ(X108,X106)
& ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp3) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( leaf(X103,X105)
& subactivity_occurrence(X103,X104)
& occurrence_of(X104,X105) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_38,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_38) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( ~ ? [X64] :
( min_precedes(X64,X62,X63)
& min_precedes(X61,X64,X63) )
& min_precedes(X61,X62,X63) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_48,axiom,
! [X109,X110,X111,X112,X113] :
( send_message(X109,X110,X111,X112,X113)
=> ( root(X112,X113)
& root(X110,X111)
& atomic(X109)
& activity(X109) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_48) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( legal(X23)
& earlier(X22,X23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_11,axiom,
! [X24,X25,X26] :
( min_precedes(X25,X26,X24)
=> ? [X27,X28] :
( atocc(X26,X28)
& atocc(X25,X27)
& subactivity(X28,X24)
& subactivity(X27,X24) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(sos_12,axiom,
! [X29,X30] :
( root(X30,X29)
=> ? [X31] :
( atocc(X30,X31)
& subactivity(X31,X29) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_23,axiom,
! [X65,X66] :
( atocc(X65,X66)
<=> ? [X67] :
( occurrence_of(X65,X67)
& atomic(X67)
& subactivity(X66,X67) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(sos_21,axiom,
! [X57,X58] :
( leaf(X57,X58)
<=> ( ~ ? [X60] : min_precedes(X57,X60,X58)
& ( ? [X59] : min_precedes(X59,X57,X58)
| root(X57,X58) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(sos_49,axiom,
! [X114,X115,X116,X117,X118] :
( send_message(X114,X115,X116,X117,X118)
=> ( X114 != tptp2
& X114 != tptp3
& X114 != tptp4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_49) ).
fof(c_0_29,plain,
! [X125,X126,X127] :
( tptp1(X125,X126,X127)
=> ( root(X127,X126)
& ~ atomic(X126)
& ~ atomic(X125)
& activity(X125) ) ),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_30,negated_conjecture,
~ ~ ? [X138,X139,X140] :
( occurrence_of(X140,X138)
& tptp1(X138,tptp0,X139) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_31,plain,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_32,plain,
! [X282,X283,X284] :
( ( ~ tptp1(X282,X283,X284)
| root(X284,X283) )
& ( ~ tptp1(X282,X283,X284)
| ~ atomic(X283) )
& ( ~ tptp1(X282,X283,X284)
| ~ atomic(X282) )
& ( ~ tptp1(X282,X283,X284)
| activity(X282) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])]) ).
fof(c_0_33,negated_conjecture,
( occurrence_of(esk24_0,esk22_0)
& tptp1(esk22_0,tptp0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_34,plain,
! [X285,X286,X287,X288] :
( ( ~ occurrence_of(X288,X285)
| ~ tptp1(X285,X286,X287)
| root_occ(esk21_4(X285,X286,X287,X288),X288) )
& ( ~ occurrence_of(X288,X285)
| ~ tptp1(X285,X286,X287)
| occurrence_of(esk21_4(X285,X286,X287,X288),esk18_4(X285,X286,X287,X288)) )
& ( ~ occurrence_of(X288,X285)
| ~ tptp1(X285,X286,X287)
| send_message(esk18_4(X285,X286,X287,X288),esk19_4(X285,X286,X287,X288),esk20_4(X285,X286,X287,X288),X287,X286) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_52])])])])]) ).
fof(c_0_35,plain,
! [X228,X229] :
( ( atomic(X228)
| ~ occurrence_of(X229,X228)
| subactivity_occurrence(esk12_2(X228,X229),X229) )
& ( atomic(X228)
| ~ occurrence_of(X229,X228)
| root(esk12_2(X228,X229),X228) ) ),
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_31])])])])]) ).
cnf(c_0_36,plain,
( ~ tptp1(X1,X2,X3)
| ~ atomic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_37,negated_conjecture,
tptp1(esk22_0,tptp0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| root_occ(esk21_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_39,plain,
! [X219,X220] :
( ( ~ subactivity_occurrence(X219,X220)
| activity_occurrence(X220) )
& ( ~ subactivity_occurrence(X219,X220)
| activity_occurrence(X219) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])]) ).
cnf(c_0_40,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
occurrence_of(esk24_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,negated_conjecture,
~ atomic(esk22_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_43,plain,
! [X145,X146,X147] :
( X146 = X147
| ~ occurrence_of(X145,X147)
| ~ occurrence_of(X145,X146) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
fof(c_0_44,plain,
! [X251,X252,X254,X255,X256] :
( ( root_occ(X254,X255)
| ~ root(X254,X256)
| ~ subactivity_occurrence(X254,X255)
| ~ occurrence_of(X255,X256) )
& ( ~ root_occ(X251,X252)
| root(X251,esk14_2(X251,X252)) )
& ( ~ root_occ(X251,X252)
| subactivity_occurrence(X251,X252) )
& ( ~ root_occ(X251,X252)
| occurrence_of(X252,esk14_2(X251,X252)) ) ),
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_33])])])])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ occurrence_of(X1,esk22_0)
| root_occ(esk21_4(esk22_0,tptp0,esk23_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
fof(c_0_46,plain,
! [X143] :
( ( ~ activity_occurrence(X143)
| occurrence_of(X143,esk1_1(X143)) )
& ( ~ activity_occurrence(X143)
| activity(esk1_1(X143)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])])]) ).
cnf(c_0_47,plain,
( ~ subactivity_occurrence(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
subactivity_occurrence(esk12_2(esk22_0,esk24_0),esk24_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_49,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| occurrence_of(esk21_4(X1,X2,X3,X4),esk18_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_50,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( ~ root_occ(X2,X1)
| occurrence_of(X1,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
root_occ(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_41]) ).
fof(c_0_53,plain,
! [X157,X158] :
( ( ~ occurrence_of(X157,X158)
| arboreal(X157)
| ~ atomic(X158) )
& ( ~ occurrence_of(X157,X158)
| atomic(X158)
| ~ arboreal(X157) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_54,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,negated_conjecture,
activity_occurrence(esk12_2(esk22_0,esk24_0)),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_56,plain,
! [X182,X183] :
( legal(X182)
| ~ root(X182,X183) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])]) ).
cnf(c_0_57,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_58,negated_conjecture,
( ~ occurrence_of(X1,esk22_0)
| occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,X1),esk18_4(esk22_0,tptp0,esk23_0,X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_37]) ).
cnf(c_0_59,negated_conjecture,
( ~ occurrence_of(esk24_0,X1)
| X1 = esk22_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_41]) ).
cnf(c_0_60,negated_conjecture,
occurrence_of(esk24_0,esk14_2(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk24_0)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_61,plain,
! [X74,X75] :
( ( ~ atomic(X74)
& root(X75,X74) )
=> ? [X76] :
( subactivity_occurrence(X75,X76)
& occurrence_of(X76,X74) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
fof(c_0_62,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_37]) ).
cnf(c_0_63,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| send_message(esk18_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4),esk20_4(X1,X2,X3,X4),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_64,plain,
( ~ occurrence_of(X1,X2)
| ~ arboreal(X1)
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_65,negated_conjecture,
occurrence_of(esk12_2(esk22_0,esk24_0),esk1_1(esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_66,plain,
! [X159] :
( arboreal(X159)
| ~ legal(X159) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
cnf(c_0_67,plain,
( ~ root(X1,X2)
| legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_68,negated_conjecture,
root(esk12_2(esk22_0,esk24_0),esk22_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_42]) ).
cnf(c_0_69,negated_conjecture,
occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk18_4(esk22_0,tptp0,esk23_0,esk24_0)),
inference(spm,[status(thm)],[c_0_58,c_0_41]) ).
cnf(c_0_70,plain,
( ~ root_occ(X1,X2)
| root(X1,esk14_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_71,negated_conjecture,
esk14_2(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk24_0) = esk22_0,
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
fof(c_0_72,plain,
! [X225,X226] :
( ( atomic(X225)
| ~ root(X226,X225)
| subactivity_occurrence(X226,esk11_2(X225,X226)) )
& ( atomic(X225)
| ~ root(X226,X225)
| occurrence_of(esk11_2(X225,X226),X225) ) ),
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_61])])])])]) ).
cnf(c_0_73,plain,
( ~ tptp1(X3,X2,X1)
| root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_74,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_62]) ).
fof(c_0_75,plain,
! [X276,X277,X278,X279,X280,X281] :
( min_precedes(X279,X281,X280)
| ~ occurrence_of(X281,X276)
| ~ send_message(X276,X277,X278,X279,X280) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_50])])]) ).
cnf(c_0_76,negated_conjecture,
( ~ occurrence_of(X1,esk22_0)
| send_message(esk18_4(esk22_0,tptp0,esk23_0,X1),esk19_4(esk22_0,tptp0,esk23_0,X1),esk20_4(esk22_0,tptp0,esk23_0,X1),esk23_0,tptp0) ),
inference(spm,[status(thm)],[c_0_63,c_0_37]) ).
cnf(c_0_77,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_78,negated_conjecture,
( ~ arboreal(esk12_2(esk22_0,esk24_0))
| atomic(esk1_1(esk12_2(esk22_0,esk24_0))) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_79,plain,
( ~ legal(X1)
| arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,negated_conjecture,
legal(esk12_2(esk22_0,esk24_0)),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_81,negated_conjecture,
( ~ arboreal(esk21_4(esk22_0,tptp0,esk23_0,esk24_0))
| atomic(esk18_4(esk22_0,tptp0,esk23_0,esk24_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_82,negated_conjecture,
root(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk22_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_52]),c_0_71]) ).
cnf(c_0_83,plain,
( ~ root(X1,X2)
| atomic(X2)
| subactivity_occurrence(X1,esk11_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_84,negated_conjecture,
root(esk23_0,tptp0),
inference(spm,[status(thm)],[c_0_73,c_0_37]) ).
cnf(c_0_85,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_86,plain,
( ~ occurrence_of(X6,X1)
| ~ send_message(X1,X2,X3,X4,X5)
| min_precedes(X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_87,negated_conjecture,
send_message(esk18_4(esk22_0,tptp0,esk23_0,esk24_0),esk19_4(esk22_0,tptp0,esk23_0,esk24_0),esk20_4(esk22_0,tptp0,esk23_0,esk24_0),esk23_0,tptp0),
inference(spm,[status(thm)],[c_0_76,c_0_41]) ).
fof(c_0_88,plain,
! [X231,X232,X233,X234] :
( X233 = X234
| min_precedes(X234,X233,X231)
| min_precedes(X233,X234,X231)
| ~ subactivity_occurrence(X234,X232)
| ~ subactivity_occurrence(X233,X232)
| ~ arboreal(X234)
| ~ arboreal(X233)
| ~ occurrence_of(X232,X231) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])])]) ).
cnf(c_0_89,negated_conjecture,
( ~ atomic(esk1_1(esk12_2(esk22_0,esk24_0)))
| arboreal(esk12_2(esk22_0,esk24_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_65]) ).
cnf(c_0_90,negated_conjecture,
atomic(esk1_1(esk12_2(esk22_0,esk24_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_91,negated_conjecture,
( ~ legal(esk21_4(esk22_0,tptp0,esk23_0,esk24_0))
| atomic(esk18_4(esk22_0,tptp0,esk23_0,esk24_0)) ),
inference(spm,[status(thm)],[c_0_81,c_0_79]) ).
cnf(c_0_92,negated_conjecture,
legal(esk21_4(esk22_0,tptp0,esk23_0,esk24_0)),
inference(spm,[status(thm)],[c_0_67,c_0_82]) ).
cnf(c_0_93,negated_conjecture,
subactivity_occurrence(esk23_0,esk11_2(tptp0,esk23_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
fof(c_0_94,plain,
! [X221,X222,X223] :
( ( ~ min_precedes(X222,X223,X221)
| subactivity_occurrence(X223,esk10_3(X221,X222,X223)) )
& ( ~ min_precedes(X222,X223,X221)
| subactivity_occurrence(X222,esk10_3(X221,X222,X223)) )
& ( ~ min_precedes(X222,X223,X221)
| occurrence_of(esk10_3(X221,X222,X223),X221) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).
cnf(c_0_95,negated_conjecture,
( ~ occurrence_of(X1,esk18_4(esk22_0,tptp0,esk23_0,esk24_0))
| min_precedes(esk23_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_96,plain,
( ~ subactivity_occurrence(X4,X1)
| ~ subactivity_occurrence(X3,X1)
| ~ arboreal(X4)
| ~ arboreal(X3)
| ~ occurrence_of(X1,X2)
| X3 = X4
| min_precedes(X4,X3,X2)
| min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_97,negated_conjecture,
arboreal(esk12_2(esk22_0,esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_98,plain,
( ~ root_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_99,negated_conjecture,
( ~ atomic(esk18_4(esk22_0,tptp0,esk23_0,esk24_0))
| arboreal(esk21_4(esk22_0,tptp0,esk23_0,esk24_0)) ),
inference(spm,[status(thm)],[c_0_77,c_0_69]) ).
cnf(c_0_100,negated_conjecture,
atomic(esk18_4(esk22_0,tptp0,esk23_0,esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_101,negated_conjecture,
activity_occurrence(esk23_0),
inference(spm,[status(thm)],[c_0_47,c_0_93]) ).
fof(c_0_102,plain,
! [X263] :
( ( ~ occurrence_of(X263,tptp0)
| next_subocc(esk16_1(X263),esk17_1(X263),tptp0) )
& ( ~ occurrence_of(X263,tptp0)
| leaf_occ(esk17_1(X263),X263) )
& ( ~ occurrence_of(X263,tptp0)
| occurrence_of(esk17_1(X263),tptp2)
| occurrence_of(esk17_1(X263),tptp3) )
& ( ~ occurrence_of(X263,tptp0)
| root_occ(esk16_1(X263),X263) )
& ( ~ occurrence_of(X263,tptp0)
| occurrence_of(esk16_1(X263),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_35])])])])]) ).
cnf(c_0_103,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_104,negated_conjecture,
min_precedes(esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0),tptp0),
inference(spm,[status(thm)],[c_0_95,c_0_69]) ).
fof(c_0_105,plain,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
inference(fof_simplification,[status(thm)],[sos_14]) ).
cnf(c_0_106,negated_conjecture,
( ~ occurrence_of(esk24_0,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk24_0)
| min_precedes(esk12_2(esk22_0,esk24_0),X1,X2)
| min_precedes(X1,esk12_2(esk22_0,esk24_0),X2)
| X1 = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_48]),c_0_97])]) ).
cnf(c_0_107,negated_conjecture,
subactivity_occurrence(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk24_0),
inference(spm,[status(thm)],[c_0_98,c_0_52]) ).
cnf(c_0_108,negated_conjecture,
arboreal(esk21_4(esk22_0,tptp0,esk23_0,esk24_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_109,negated_conjecture,
occurrence_of(esk23_0,esk1_1(esk23_0)),
inference(spm,[status(thm)],[c_0_54,c_0_101]) ).
fof(c_0_110,plain,
! [X257,X258,X260,X261,X262] :
( ( leaf_occ(X260,X261)
| ~ leaf(X260,X262)
| ~ subactivity_occurrence(X260,X261)
| ~ occurrence_of(X261,X262) )
& ( ~ leaf_occ(X257,X258)
| leaf(X257,esk15_2(X257,X258)) )
& ( ~ leaf_occ(X257,X258)
| subactivity_occurrence(X257,X258) )
& ( ~ leaf_occ(X257,X258)
| occurrence_of(X258,esk15_2(X257,X258)) ) ),
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_34])])])])])])]) ).
cnf(c_0_111,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_112,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)),tptp0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
fof(c_0_113,plain,
! [X176,X177,X178] :
( ~ root(X177,X178)
| ~ min_precedes(X176,X177,X178) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
cnf(c_0_114,negated_conjecture,
( ~ occurrence_of(esk24_0,X1)
| min_precedes(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk12_2(esk22_0,esk24_0),X1)
| min_precedes(esk12_2(esk22_0,esk24_0),esk21_4(esk22_0,tptp0,esk23_0,esk24_0),X1)
| esk21_4(esk22_0,tptp0,esk23_0,esk24_0) = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108])]) ).
cnf(c_0_115,negated_conjecture,
( ~ arboreal(esk23_0)
| atomic(esk1_1(esk23_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
legal(esk23_0),
inference(spm,[status(thm)],[c_0_67,c_0_84]) ).
cnf(c_0_117,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_118,negated_conjecture,
leaf_occ(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,plain,
( ~ root(X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( min_precedes(esk12_2(esk22_0,esk24_0),esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk22_0)
| min_precedes(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk12_2(esk22_0,esk24_0),esk22_0)
| esk21_4(esk22_0,tptp0,esk23_0,esk24_0) = esk12_2(esk22_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_41]) ).
cnf(c_0_121,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk10_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_122,negated_conjecture,
( ~ atomic(esk1_1(esk23_0))
| arboreal(esk23_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_109]) ).
cnf(c_0_123,negated_conjecture,
atomic(esk1_1(esk23_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_79]),c_0_116])]) ).
cnf(c_0_124,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk16_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_125,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk16_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_126,negated_conjecture,
subactivity_occurrence(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_127,negated_conjecture,
( min_precedes(esk12_2(esk22_0,esk24_0),esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk22_0)
| esk21_4(esk22_0,tptp0,esk23_0,esk24_0) = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_68])]) ).
cnf(c_0_128,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk16_1(X1),esk17_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_129,negated_conjecture,
subactivity_occurrence(esk23_0,esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_121,c_0_104]) ).
cnf(c_0_130,negated_conjecture,
arboreal(esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123])]) ).
cnf(c_0_131,negated_conjecture,
root_occ(esk16_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_124,c_0_112]) ).
cnf(c_0_132,negated_conjecture,
occurrence_of(esk16_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),tptp4),
inference(spm,[status(thm)],[c_0_125,c_0_112]) ).
cnf(c_0_133,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_38]) ).
cnf(c_0_134,negated_conjecture,
activity_occurrence(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_47,c_0_126]) ).
cnf(c_0_135,negated_conjecture,
esk21_4(esk22_0,tptp0,esk23_0,esk24_0) = esk12_2(esk22_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_127]),c_0_82])]) ).
fof(c_0_136,plain,
! [X205,X206,X207,X208,X209,X210,X211] :
( ( next_subocc(X209,X210,X211)
| ~ min_precedes(X209,X210,X211)
| min_precedes(esk8_3(X209,X210,X211),X210,X211) )
& ( next_subocc(X209,X210,X211)
| ~ min_precedes(X209,X210,X211)
| min_precedes(X209,esk8_3(X209,X210,X211),X211) )
& ( ~ next_subocc(X205,X206,X207)
| ~ min_precedes(X208,X206,X207)
| ~ min_precedes(X205,X208,X207) )
& ( ~ next_subocc(X205,X206,X207)
| min_precedes(X205,X206,X207) ) ),
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_22])])])])])])]) ).
cnf(c_0_137,negated_conjecture,
next_subocc(esk16_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),tptp0),
inference(spm,[status(thm)],[c_0_128,c_0_112]) ).
cnf(c_0_138,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)))
| min_precedes(esk23_0,X1,X2)
| min_precedes(X1,esk23_0,X2)
| X1 = esk23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_129]),c_0_130])]) ).
cnf(c_0_139,negated_conjecture,
subactivity_occurrence(esk16_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_98,c_0_131]) ).
cnf(c_0_140,negated_conjecture,
arboreal(esk16_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_132]),c_0_133])]) ).
cnf(c_0_141,plain,
( ~ root(X2,X1)
| atomic(X1)
| occurrence_of(esk11_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_142,negated_conjecture,
activity_occurrence(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
fof(c_0_143,plain,
! [X179,X180,X181] :
( precedes(X179,X180)
| ~ min_precedes(X179,X180,X181) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])])]) ).
cnf(c_0_144,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_145,negated_conjecture,
next_subocc(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0),
inference(spm,[status(thm)],[c_0_137,c_0_135]) ).
cnf(c_0_146,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))
| min_precedes(X1,esk23_0,X2)
| min_precedes(esk23_0,X1,X2)
| X1 = esk23_0 ),
inference(spm,[status(thm)],[c_0_138,c_0_135]) ).
cnf(c_0_147,negated_conjecture,
subactivity_occurrence(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_139,c_0_135]) ).
cnf(c_0_148,negated_conjecture,
arboreal(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_140,c_0_135]) ).
cnf(c_0_149,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)),X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_50,c_0_112]) ).
cnf(c_0_150,negated_conjecture,
root_occ(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_131,c_0_135]) ).
fof(c_0_151,plain,
! [X266,X267,X268,X269,X270] :
( ( ~ send_message(X266,X267,X268,X269,X270)
| root(X269,X270) )
& ( ~ send_message(X266,X267,X268,X269,X270)
| root(X267,X268) )
& ( ~ send_message(X266,X267,X268,X269,X270)
| atomic(X266) )
& ( ~ send_message(X266,X267,X268,X269,X270)
| activity(X266) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_48])])])]) ).
cnf(c_0_152,negated_conjecture,
occurrence_of(esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)),esk22_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_68]),c_0_42]) ).
cnf(c_0_153,negated_conjecture,
occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))))),
inference(spm,[status(thm)],[c_0_54,c_0_142]) ).
fof(c_0_154,plain,
! [X162,X163] :
( ( precedes(X162,X163)
| ~ legal(X163)
| ~ earlier(X162,X163) )
& ( ~ precedes(X162,X163)
| legal(X163) )
& ( ~ precedes(X162,X163)
| earlier(X162,X163) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])])]) ).
cnf(c_0_155,plain,
( ~ min_precedes(X1,X2,X3)
| precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_156,negated_conjecture,
min_precedes(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_157,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),X1)
| min_precedes(esk23_0,esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),X1)
| min_precedes(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk23_0,X1)
| esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_148])]) ).
cnf(c_0_158,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),tptp0),
inference(spm,[status(thm)],[c_0_112,c_0_135]) ).
cnf(c_0_159,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_149,c_0_135]) ).
cnf(c_0_160,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),esk14_2(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_51,c_0_150]) ).
cnf(c_0_161,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| atomic(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_162,negated_conjecture,
send_message(esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk19_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk20_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk23_0,tptp0),
inference(spm,[status(thm)],[c_0_76,c_0_152]) ).
cnf(c_0_163,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_164,negated_conjecture,
( ~ arboreal(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))))
| atomic(esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))))) ),
inference(spm,[status(thm)],[c_0_64,c_0_153]) ).
cnf(c_0_165,plain,
( ~ precedes(X2,X1)
| legal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_166,negated_conjecture,
precedes(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_167,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_168,negated_conjecture,
( min_precedes(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk23_0,tptp0)
| min_precedes(esk23_0,esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0)
| esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk23_0 ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_169,negated_conjecture,
esk14_2(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = tptp0,
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_170,negated_conjecture,
subactivity_occurrence(esk12_2(esk22_0,esk24_0),esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_68]),c_0_42]) ).
cnf(c_0_171,negated_conjecture,
root_occ(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_45,c_0_152]) ).
cnf(c_0_172,negated_conjecture,
occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_58,c_0_152]) ).
cnf(c_0_173,negated_conjecture,
atomic(esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
fof(c_0_174,plain,
! [X164,X165,X166] :
( ( ~ min_precedes(X165,X166,X164)
| atocc(X166,esk3_3(X164,X165,X166)) )
& ( ~ min_precedes(X165,X166,X164)
| atocc(X165,esk2_3(X164,X165,X166)) )
& ( ~ min_precedes(X165,X166,X164)
| subactivity(esk3_3(X164,X165,X166),X164) )
& ( ~ min_precedes(X165,X166,X164)
| subactivity(esk2_3(X164,X165,X166),X164) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])])]) ).
cnf(c_0_175,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk17_1(X1),tptp2)
| occurrence_of(esk17_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_176,negated_conjecture,
subactivity_occurrence(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_163,c_0_104]) ).
cnf(c_0_177,negated_conjecture,
( ~ legal(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))))
| atomic(esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))))) ),
inference(spm,[status(thm)],[c_0_164,c_0_79]) ).
cnf(c_0_178,negated_conjecture,
legal(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_179,negated_conjecture,
( ~ min_precedes(esk16_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),X1,tptp0)
| ~ min_precedes(X1,esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_167,c_0_137]) ).
cnf(c_0_180,negated_conjecture,
( min_precedes(esk23_0,esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0)
| esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk23_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_168]),c_0_84])]) ).
cnf(c_0_181,negated_conjecture,
root(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_150]),c_0_169]) ).
fof(c_0_182,plain,
! [X169,X170] :
( ( ~ root(X170,X169)
| atocc(X170,esk4_2(X169,X170)) )
& ( ~ root(X170,X169)
| subactivity(esk4_2(X169,X170),X169) ) ),
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_183,negated_conjecture,
( ~ occurrence_of(X1,esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))))
| min_precedes(esk23_0,X1,tptp0) ),
inference(spm,[status(thm)],[c_0_86,c_0_162]) ).
cnf(c_0_184,negated_conjecture,
( ~ occurrence_of(esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))
| min_precedes(esk12_2(esk22_0,esk24_0),X1,X2)
| min_precedes(X1,esk12_2(esk22_0,esk24_0),X2)
| X1 = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_170]),c_0_97])]) ).
cnf(c_0_185,negated_conjecture,
subactivity_occurrence(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_98,c_0_171]) ).
cnf(c_0_186,negated_conjecture,
arboreal(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_172]),c_0_173])]) ).
fof(c_0_187,plain,
! [X213,X214,X216,X217,X218] :
( ( atocc(X216,X217)
| ~ occurrence_of(X216,X218)
| ~ atomic(X218)
| ~ subactivity(X217,X218) )
& ( ~ atocc(X213,X214)
| occurrence_of(X213,esk9_2(X213,X214)) )
& ( ~ atocc(X213,X214)
| atomic(esk9_2(X213,X214)) )
& ( ~ atocc(X213,X214)
| subactivity(X214,esk9_2(X213,X214)) ) ),
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_23])])])])])])]) ).
cnf(c_0_188,plain,
( ~ min_precedes(X3,X1,X2)
| atocc(X1,esk3_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_189,negated_conjecture,
( occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),tptp3)
| occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),tptp2) ),
inference(spm,[status(thm)],[c_0_175,c_0_112]) ).
cnf(c_0_190,negated_conjecture,
subactivity_occurrence(esk12_2(esk22_0,esk24_0),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_135]),c_0_135]) ).
cnf(c_0_191,negated_conjecture,
( ~ atomic(esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))))
| arboreal(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))) ),
inference(spm,[status(thm)],[c_0_77,c_0_153]) ).
cnf(c_0_192,negated_conjecture,
atomic(esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).
cnf(c_0_193,negated_conjecture,
( ~ min_precedes(esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),X1,tptp0)
| ~ min_precedes(X1,esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_179,c_0_135]) ).
cnf(c_0_194,negated_conjecture,
esk16_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk23_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_180]),c_0_181])]) ).
cnf(c_0_195,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_196,negated_conjecture,
leaf_occ(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_118,c_0_135]) ).
cnf(c_0_197,plain,
( ~ root(X1,X2)
| atocc(X1,esk4_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_198,negated_conjecture,
min_precedes(esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),tptp0),
inference(spm,[status(thm)],[c_0_183,c_0_172]) ).
cnf(c_0_199,negated_conjecture,
( ~ occurrence_of(esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)),X1)
| min_precedes(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk12_2(esk22_0,esk24_0),X1)
| min_precedes(esk12_2(esk22_0,esk24_0),esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),X1)
| esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_185]),c_0_186])]) ).
cnf(c_0_200,negated_conjecture,
( ~ occurrence_of(esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)),X1)
| X1 = esk22_0 ),
inference(spm,[status(thm)],[c_0_50,c_0_152]) ).
cnf(c_0_201,negated_conjecture,
occurrence_of(esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)),esk14_2(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_51,c_0_171]) ).
cnf(c_0_202,plain,
( ~ atocc(X1,X2)
| occurrence_of(X1,esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_203,negated_conjecture,
atocc(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk3_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_188,c_0_104]) ).
cnf(c_0_204,negated_conjecture,
( ~ occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),X1)
| occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),tptp3)
| X1 = tptp2 ),
inference(spm,[status(thm)],[c_0_50,c_0_189]) ).
cnf(c_0_205,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))
| min_precedes(esk12_2(esk22_0,esk24_0),X1,X2)
| min_precedes(X1,esk12_2(esk22_0,esk24_0),X2)
| X1 = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_190]),c_0_97])]) ).
cnf(c_0_206,negated_conjecture,
subactivity_occurrence(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_126,c_0_135]) ).
cnf(c_0_207,negated_conjecture,
arboreal(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_192])]) ).
cnf(c_0_208,negated_conjecture,
( ~ min_precedes(esk23_0,X1,tptp0)
| ~ min_precedes(X1,esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0) ),
inference(rw,[status(thm)],[c_0_193,c_0_194]) ).
cnf(c_0_209,negated_conjecture,
min_precedes(esk23_0,esk12_2(esk22_0,esk24_0),tptp0),
inference(rw,[status(thm)],[c_0_104,c_0_135]) ).
cnf(c_0_210,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),esk15_2(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_211,negated_conjecture,
atocc(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk4_2(esk22_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))),
inference(spm,[status(thm)],[c_0_197,c_0_82]) ).
cnf(c_0_212,negated_conjecture,
atocc(esk12_2(esk22_0,esk24_0),esk4_2(esk22_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_197,c_0_68]) ).
cnf(c_0_213,negated_conjecture,
atocc(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk3_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))))),
inference(spm,[status(thm)],[c_0_188,c_0_198]) ).
cnf(c_0_214,negated_conjecture,
( min_precedes(esk12_2(esk22_0,esk24_0),esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk22_0)
| min_precedes(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk12_2(esk22_0,esk24_0),esk22_0)
| esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_199,c_0_152]) ).
cnf(c_0_215,negated_conjecture,
root(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk14_2(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_70,c_0_171]) ).
cnf(c_0_216,negated_conjecture,
esk14_2(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk22_0,
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_217,negated_conjecture,
( ~ occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),X1)
| X1 = esk18_4(esk22_0,tptp0,esk23_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_69]) ).
cnf(c_0_218,negated_conjecture,
occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk9_2(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk3_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
cnf(c_0_219,negated_conjecture,
( ~ occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),X1)
| occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp3)
| X1 = tptp2 ),
inference(spm,[status(thm)],[c_0_204,c_0_135]) ).
fof(c_0_220,plain,
! [X197,X198,X200,X201,X202,X203] :
( ( leaf(X201,X202)
| min_precedes(X201,esk7_2(X201,X202),X202)
| ~ min_precedes(X203,X201,X202) )
& ( leaf(X201,X202)
| min_precedes(X201,esk7_2(X201,X202),X202)
| ~ root(X201,X202) )
& ( ~ leaf(X197,X198)
| ~ min_precedes(X197,X200,X198) )
& ( ~ leaf(X197,X198)
| min_precedes(esk6_2(X197,X198),X197,X198)
| root(X197,X198) ) ),
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_21])])])])])])]) ).
cnf(c_0_221,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)),X1)
| min_precedes(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk12_2(esk22_0,esk24_0),X1)
| min_precedes(esk12_2(esk22_0,esk24_0),esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),X1)
| esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_207])]) ).
cnf(c_0_222,negated_conjecture,
~ min_precedes(esk12_2(esk22_0,esk24_0),esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0),
inference(spm,[status(thm)],[c_0_208,c_0_209]) ).
cnf(c_0_223,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk15_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_224,negated_conjecture,
esk15_2(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = tptp0,
inference(spm,[status(thm)],[c_0_159,c_0_210]) ).
cnf(c_0_225,negated_conjecture,
occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk9_2(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk4_2(esk22_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_202,c_0_211]) ).
cnf(c_0_226,negated_conjecture,
( ~ occurrence_of(esk12_2(esk22_0,esk24_0),X1)
| X1 = esk1_1(esk12_2(esk22_0,esk24_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_65]) ).
cnf(c_0_227,negated_conjecture,
occurrence_of(esk12_2(esk22_0,esk24_0),esk9_2(esk12_2(esk22_0,esk24_0),esk4_2(esk22_0,esk12_2(esk22_0,esk24_0)))),
inference(spm,[status(thm)],[c_0_202,c_0_212]) ).
fof(c_0_228,plain,
! [X114,X115,X116,X117,X118] :
( send_message(X114,X115,X116,X117,X118)
=> ( X114 != tptp2
& X114 != tptp3
& X114 != tptp4 ) ),
inference(fof_simplification,[status(thm)],[sos_49]) ).
cnf(c_0_229,negated_conjecture,
( ~ occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),X1)
| X1 = esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) ),
inference(spm,[status(thm)],[c_0_50,c_0_172]) ).
cnf(c_0_230,negated_conjecture,
occurrence_of(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk9_2(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk3_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0)))))),
inference(spm,[status(thm)],[c_0_202,c_0_213]) ).
cnf(c_0_231,negated_conjecture,
( min_precedes(esk12_2(esk22_0,esk24_0),esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk22_0)
| esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_214]),c_0_68])]) ).
cnf(c_0_232,negated_conjecture,
root(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk22_0),
inference(rw,[status(thm)],[c_0_215,c_0_216]) ).
cnf(c_0_233,negated_conjecture,
esk9_2(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk3_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))) = esk18_4(esk22_0,tptp0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
cnf(c_0_234,negated_conjecture,
( ~ occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),X1)
| X1 = esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))) ),
inference(spm,[status(thm)],[c_0_50,c_0_153]) ).
cnf(c_0_235,negated_conjecture,
( occurrence_of(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp3)
| esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))) = tptp2 ),
inference(spm,[status(thm)],[c_0_219,c_0_153]) ).
cnf(c_0_236,plain,
( ~ leaf(X1,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_237,negated_conjecture,
( min_precedes(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),esk12_2(esk22_0,esk24_0),tptp0)
| esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_158]),c_0_222]) ).
cnf(c_0_238,negated_conjecture,
leaf(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_196]),c_0_224]) ).
cnf(c_0_239,negated_conjecture,
esk9_2(esk21_4(esk22_0,tptp0,esk23_0,esk24_0),esk4_2(esk22_0,esk21_4(esk22_0,tptp0,esk23_0,esk24_0))) = esk18_4(esk22_0,tptp0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_217,c_0_225]) ).
cnf(c_0_240,negated_conjecture,
esk9_2(esk12_2(esk22_0,esk24_0),esk4_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk1_1(esk12_2(esk22_0,esk24_0)),
inference(spm,[status(thm)],[c_0_226,c_0_227]) ).
fof(c_0_241,plain,
! [X271,X272,X273,X274,X275] :
( ( ~ send_message(X271,X272,X273,X274,X275)
| X271 != tptp2 )
& ( ~ send_message(X271,X272,X273,X274,X275)
| X271 != tptp3 )
& ( ~ send_message(X271,X272,X273,X274,X275)
| X271 != tptp4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_228])])])]) ).
cnf(c_0_242,negated_conjecture,
esk9_2(esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk3_3(tptp0,esk23_0,esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))))) = esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
cnf(c_0_243,negated_conjecture,
esk21_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_231]),c_0_232])]) ).
cnf(c_0_244,negated_conjecture,
esk9_2(esk12_2(esk22_0,esk24_0),esk3_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk18_4(esk22_0,tptp0,esk23_0,esk24_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_233,c_0_135]),c_0_135]) ).
cnf(c_0_245,negated_conjecture,
( esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))) = tptp3
| esk1_1(esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0)))) = tptp2 ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
cnf(c_0_246,negated_conjecture,
esk17_1(esk10_3(tptp0,esk23_0,esk12_2(esk22_0,esk24_0))) = esk12_2(esk22_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_238])]) ).
cnf(c_0_247,negated_conjecture,
esk1_1(esk12_2(esk22_0,esk24_0)) = esk18_4(esk22_0,tptp0,esk23_0,esk24_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_135]),c_0_135]),c_0_240]) ).
cnf(c_0_248,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp2 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_249,negated_conjecture,
esk18_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))) = esk18_4(esk22_0,tptp0,esk23_0,esk24_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_243]),c_0_243]),c_0_244]) ).
cnf(c_0_250,negated_conjecture,
( esk18_4(esk22_0,tptp0,esk23_0,esk24_0) = tptp2
| esk18_4(esk22_0,tptp0,esk23_0,esk24_0) = tptp3 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_246]),c_0_247]) ).
cnf(c_0_251,plain,
~ send_message(tptp2,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_248]) ).
cnf(c_0_252,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp3 ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_253,negated_conjecture,
send_message(esk18_4(esk22_0,tptp0,esk23_0,esk24_0),esk19_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk20_4(esk22_0,tptp0,esk23_0,esk11_2(esk22_0,esk12_2(esk22_0,esk24_0))),esk23_0,tptp0),
inference(rw,[status(thm)],[c_0_162,c_0_249]) ).
cnf(c_0_254,negated_conjecture,
esk18_4(esk22_0,tptp0,esk23_0,esk24_0) = tptp3,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_250]),c_0_251]) ).
cnf(c_0_255,plain,
~ send_message(tptp3,X1,X2,X3,X4),
inference(er,[status(thm)],[c_0_252]) ).
cnf(c_0_256,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_254]),c_0_255]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO002+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n014.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 21 03:40:04 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 272.06/37.08 % Version: 3.5.1
% 272.06/37.08 % Preprocessing class: FSLSSMSSSSSNFFN.
% 272.06/37.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 272.06/37.08 % Starting new_bool_3 with 300s (1) cores
% 272.06/37.08 % Starting new_bool_1 with 300s (1) cores
% 272.06/37.08 % Starting sh5l with 300s (1) cores
% 272.06/37.08 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3052037 completed with status 0
% 272.06/37.08 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 272.06/37.08 % Preprocessing class: FSLSSMSSSSSNFFN.
% 272.06/37.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 272.06/37.08 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 272.06/37.08 % No SInE strategy applied
% 272.06/37.08 % Search class: FGHSF-FFMM32-SFFFFFNN
% 272.06/37.08 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 272.06/37.08 % Starting SubtermCWHack with 136s (1) cores
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 272.06/37.08 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 272.06/37.08 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 272.06/37.08 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with pid 3052045 completed with status 0
% 272.06/37.08 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI
% 272.06/37.08 % Preprocessing class: FSLSSMSSSSSNFFN.
% 272.06/37.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 272.06/37.08 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 272.06/37.08 % No SInE strategy applied
% 272.06/37.08 % Search class: FGHSF-FFMM32-SFFFFFNN
% 272.06/37.08 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 272.06/37.08 % Starting SubtermCWHack with 136s (1) cores
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 272.06/37.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 272.06/37.08 % Preprocessing time : 0.002 s
% 272.06/37.08 % Presaturation interreduction done
% 272.06/37.08
% 272.06/37.08 % Proof found!
% 272.06/37.08 % SZS status Theorem
% 272.06/37.08 % SZS output start CNFRefutation
% See solution above
% 272.06/37.08 % Parsed axioms : 55
% 272.06/37.08 % Removed by relevancy pruning/SinE : 0
% 272.06/37.08 % Initial clauses : 101
% 272.06/37.08 % Removed in clause preprocessing : 0
% 272.06/37.08 % Initial clauses in saturation : 101
% 272.06/37.08 % Processed clauses : 72178
% 272.06/37.08 % ...of these trivial : 4714
% 272.06/37.08 % ...subsumed : 43469
% 272.06/37.08 % ...remaining for further processing : 23995
% 272.06/37.08 % Other redundant clauses eliminated : 3
% 272.06/37.08 % Clauses deleted for lack of memory : 0
% 272.06/37.08 % Backward-subsumed : 566
% 272.06/37.08 % Backward-rewritten : 5602
% 272.06/37.08 % Generated clauses : 692666
% 272.06/37.08 % ...of the previous two non-redundant : 589306
% 272.06/37.08 % ...aggressively subsumed : 0
% 272.06/37.08 % Contextual simplify-reflections : 542
% 272.06/37.08 % Paramodulations : 692630
% 272.06/37.08 % Factorizations : 23
% 272.06/37.08 % NegExts : 0
% 272.06/37.08 % Equation resolutions : 3
% 272.06/37.08 % Disequality decompositions : 0
% 272.06/37.08 % Total rewrite steps : 318016
% 272.06/37.08 % ...of those cached : 315894
% 272.06/37.08 % Propositional unsat checks : 4
% 272.06/37.08 % Propositional check models : 0
% 272.06/37.08 % Propositional check unsatisfiable : 0
% 272.06/37.08 % Propositional clauses : 0
% 272.06/37.08 % Propositional clauses after purity: 0
% 272.06/37.08 % Propositional unsat core size : 0
% 272.06/37.08 % Propositional preprocessing time : 0.000
% 272.06/37.08 % Propositional encoding time : 0.306
% 272.06/37.08 % Propositional solver time : 0.436
% 272.06/37.08 % Success case prop preproc time : 0.000
% 272.06/37.08 % Success case prop encoding time : 0.000
% 272.06/37.08 % Success case prop solver time : 0.000
% 272.06/37.08 % Current number of processed clauses : 17713
% 272.06/37.08 % Positive orientable unit clauses : 4022
% 272.06/37.08 % Positive unorientable unit clauses: 0
% 272.06/37.08 % Negative unit clauses : 515
% 272.06/37.08 % Non-unit-clauses : 13176
% 272.06/37.08 % Current number of unprocessed clauses: 509184
% 272.06/37.08 % ...number of literals in the above : 2089218
% 272.06/37.08 % Current number of archived formulas : 0
% 272.06/37.08 % Current number of archived clauses : 6279
% 272.06/37.08 % Clause-clause subsumption calls (NU) : 32171894
% 272.06/37.08 % Rec. Clause-clause subsumption calls : 13510813
% 272.06/37.08 % Non-unit clause-clause subsumptions : 42564
% 272.06/37.08 % Unit Clause-clause subsumption calls : 740258
% 272.06/37.08 % Rewrite failures with RHS unbound : 0
% 272.06/37.08 % BW rewrite match attempts : 143200
% 272.06/37.08 % BW rewrite match successes : 501
% 272.06/37.08 % Condensation attempts : 0
% 272.06/37.08 % Condensation successes : 0
% 272.06/37.08 % Termbank termtop insertions : 29403926
% 272.06/37.08 % Search garbage collected termcells : 1446
% 272.06/37.08
% 272.06/37.08 % -------------------------------------------------
% 272.06/37.08 % User time : 34.370 s
% 272.06/37.08 % System time : 0.526 s
% 272.06/37.08 % Total time : 34.896 s
% 272.06/37.08 % Maximum resident set size: 3728 pages
% 272.06/37.08
% 272.06/37.08 % -------------------------------------------------
% 272.06/37.08 % User time : 171.825 s
% 272.06/37.08 % System time : 2.586 s
% 272.06/37.08 % Total time : 174.411 s
% 272.06/37.08 % Maximum resident set size: 4608 pages
% 272.06/37.08 % E exiting
%------------------------------------------------------------------------------