%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PRO010+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:01:53 PM UTC 2026
% Result : Theorem 0.30s 1.62s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 131
% Syntax : Number of formulae : 338 ( 45 unt; 0 def)
% Number of atoms : 1114 ( 126 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 1316 ( 540 ~; 539 |; 169 &)
% ( 7 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 6 con; 0-4 aty)
% Number of variables : 875 ( 43 sgn 345 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_32,axiom,
! [X95,X96,X97,X98] :
( ( occurrence_of(X97,X95)
& occurrence_of(X98,X96)
& subactivity(X95,X96)
& ~ subactivity_occurrence(X97,X98) )
=> ? [X99] :
( subactivity_occurrence(X99,X98)
& ~ subactivity_occurrence(X99,X97) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_32) ).
fof(goals,conjecture,
! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( leaf_occ(X168,X166)
& ( occurrence_of(X168,tptp1)
=> ~ ? [X169] :
( occurrence_of(X169,tptp2)
& min_precedes(X167,X169,tptp0) ) )
& ( occurrence_of(X168,tptp2)
=> ~ ? [X170] :
( occurrence_of(X170,tptp1)
& min_precedes(X167,X170,tptp0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_43,axiom,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).
fof(sos_42,axiom,
! [X135,X136,X137,X138] :
( ( occurrence_of(X136,X135)
& subactivity_occurrence(X137,X136)
& root_occ(X138,X136)
& arboreal(X137)
& ~ min_precedes(X138,X137,X135) )
=> X138 = X137 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_42) ).
fof(sos_14,axiom,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_14) ).
fof(sos_19,axiom,
! [X50,X51,X52] :
( min_precedes(X50,X51,X52)
=> ~ atomic(X52) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_19) ).
fof(sos_30,axiom,
! [X88,X89,X90,X91] :
( ( occurrence_of(X90,X88)
& occurrence_of(X91,X89)
& ~ atomic(X88)
& subactivity_occurrence(X90,X91) )
=> subactivity(X88,X89) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_30) ).
fof(sos_36,axiom,
! [X110,X111,X112,X113] :
( ( occurrence_of(X112,X113)
& ~ atomic(X113)
& leaf_occ(X110,X112)
& leaf_occ(X111,X112) )
=> X110 = X111 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(sos_26,axiom,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_26) ).
fof(sos_45,axiom,
! [X146,X147] :
( ( leaf(X146,X147)
& ~ atomic(X147) )
=> ? [X148] :
( occurrence_of(X148,X147)
& leaf_occ(X146,X148) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_45) ).
fof(sos_04,axiom,
! [X9,X10] :
( earlier(X9,X10)
=> ~ earlier(X10,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( min_precedes(X61,X62,X63)
& ~ ? [X64] :
( min_precedes(X61,X64,X63)
& min_precedes(X64,X62,X63) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_20,axiom,
! [X53,X54,X55,X56] :
( ( min_precedes(X54,X53,X56)
& min_precedes(X55,X53,X56)
& precedes(X54,X55) )
=> min_precedes(X54,X55,X56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_20) ).
fof(sos_18,axiom,
! [X46,X47,X48,X49] :
( ( min_precedes(X46,X47,X49)
& min_precedes(X46,X48,X49)
& precedes(X47,X48) )
=> min_precedes(X47,X48,X49) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_18) ).
fof(sos_13,axiom,
! [X32,X33,X34] :
( min_precedes(X32,X33,X34)
=> ? [X35] :
( root(X35,X34)
& min_precedes(X35,X33,X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(sos_39,axiom,
! [X122,X123,X124,X125,X126] :
( ( next_subocc(X122,X123,X125)
& next_subocc(X122,X124,X125)
& occurrence_of(X126,X125)
& subactivity_occurrence(X124,X126)
& subactivity_occurrence(X123,X126) )
=> X123 = X124 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_39) ).
fof(sos_47,axiom,
! [X152,X153,X154,X155,X156] :
( ( occurrence_of(X153,X152)
& root_occ(X155,X153)
& leaf_occ(X156,X153)
& subactivity_occurrence(X154,X153)
& min_precedes(X154,X156,X152)
& X154 != X155 )
=> min_precedes(X155,X154,X152) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_47) ).
fof(sos_48,axiom,
! [X157,X158,X159,X160,X161] :
( ( occurrence_of(X158,X157)
& root_occ(X160,X158)
& leaf_occ(X161,X158)
& subactivity_occurrence(X159,X158)
& min_precedes(X160,X159,X157)
& X159 != X161 )
=> min_precedes(X159,X161,X157) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_48) ).
fof(sos_11,axiom,
! [X24,X25,X26] :
( min_precedes(X25,X26,X24)
=> ? [X27,X28] :
( subactivity(X27,X24)
& subactivity(X28,X24)
& atocc(X25,X27)
& atocc(X26,X28) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_11) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( occurrence_of(X73,X70)
& subactivity_occurrence(X71,X73)
& subactivity_occurrence(X72,X73) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos_28,axiom,
! [X80,X81,X82,X83] :
( ( occurrence_of(X81,X80)
& arboreal(X82)
& arboreal(X83)
& subactivity_occurrence(X82,X81)
& subactivity_occurrence(X83,X81) )
=> ( min_precedes(X82,X83,X80)
| min_precedes(X83,X82,X80)
| X82 = X83 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(sos_21,axiom,
! [X57,X58] :
( leaf(X57,X58)
<=> ( ( root(X57,X58)
| ? [X59] : min_precedes(X59,X57,X58) )
& ~ ? [X60] : min_precedes(X57,X60,X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_21) ).
fof(sos_40,axiom,
! [X127,X128,X129,X130] :
( ( next_subocc(X128,X127,X130)
& next_subocc(X129,X127,X130) )
=> X128 = X129 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( min_precedes(X84,X85,X86)
& occurrence_of(X87,X86)
& subactivity_occurrence(X85,X87) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(sos_37,axiom,
! [X114,X115,X116] :
( ( occurrence_of(X114,X116)
& leaf_occ(X115,X114) )
=> ~ ? [X117] : min_precedes(X115,X117,X116) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_37) ).
fof(sos_38,axiom,
! [X118,X119,X120] :
( ( occurrence_of(X118,X120)
& root_occ(X119,X118) )
=> ~ ? [X121] : min_precedes(X121,X119,X120) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_38) ).
fof(sos_41,axiom,
! [X131,X132,X133,X134] :
( ( occurrence_of(X131,X134)
& leaf_occ(X132,X131)
& root_occ(X133,X131)
& X132 != X133 )
=> min_precedes(X133,X132,X134) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_41) ).
fof(sos_15,axiom,
! [X39,X40,X41] :
( min_precedes(X39,X40,X41)
=> precedes(X39,X40) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_15) ).
fof(sos_44,axiom,
! [X143,X144,X145] :
( next_subocc(X143,X144,X145)
=> ( arboreal(X143)
& arboreal(X144) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_44) ).
fof(sos_46,axiom,
! [X149,X150,X151] :
( min_precedes(X149,X150,X151)
=> arboreal(X149) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_46) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164,X165] :
( occurrence_of(X163,tptp3)
& root_occ(X163,X162)
& occurrence_of(X164,tptp4)
& next_subocc(X163,X164,tptp0)
& ( occurrence_of(X165,tptp1)
| occurrence_of(X165,tptp2) )
& next_subocc(X164,X165,tptp0)
& leaf_occ(X165,X162) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( occurrence_of(X104,X105)
& subactivity_occurrence(X103,X104)
& leaf(X103,X105) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( occurrence_of(X101,X102)
& subactivity_occurrence(X100,X101)
& root(X100,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(sos_06,axiom,
! [X14,X15,X16] :
( ( earlier(X14,X15)
& earlier(X16,X15) )
=> ( earlier(X16,X14)
| earlier(X14,X16)
| X14 = X16 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( occurrence_of(X108,X109)
& root_occ(X106,X108)
& root_occ(X107,X108) )
=> X106 = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos_23,axiom,
! [X65,X66] :
( atocc(X65,X66)
<=> ? [X67] :
( subactivity(X66,X67)
& atomic(X67)
& occurrence_of(X65,X67) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_23) ).
fof(sos_12,axiom,
! [X29,X30] :
( root(X30,X29)
=> ? [X31] :
( subactivity(X31,X29)
& atocc(X30,X31) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(sos_31,axiom,
! [X92,X93,X94] :
( ( subactivity_occurrence(X92,X93)
& subactivity_occurrence(X93,X94) )
=> subactivity_occurrence(X92,X94) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_31) ).
fof(sos_05,axiom,
! [X11,X12,X13] :
( ( earlier(X11,X12)
& earlier(X12,X13) )
=> earlier(X11,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X6)
& occurrence_of(X5,X7) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_17,axiom,
! [X44,X45] :
( ( atocc(X44,X45)
& legal(X44) )
=> root(X44,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_17) ).
fof(sos_10,axiom,
! [X22,X23] :
( precedes(X22,X23)
<=> ( earlier(X22,X23)
& legal(X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_10) ).
fof(sos_09,axiom,
! [X20,X21] :
( ( legal(X20)
& earlier(X21,X20) )
=> legal(X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( activity(X4)
& occurrence_of(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(sos_16,axiom,
! [X42,X43] :
( root(X42,X43)
=> legal(X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_16) ).
fof(sos_24,axiom,
! [X68,X69] :
( subactivity_occurrence(X68,X69)
=> ( activity_occurrence(X68)
& activity_occurrence(X69) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_24) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity(X1)
& activity_occurrence(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(sos_03,axiom,
! [X8] :
( activity(X8)
=> subactivity(X8,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(sos_08,axiom,
! [X19] :
( legal(X19)
=> arboreal(X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(sos_54,axiom,
atomic(tptp2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_54) ).
fof(sos_53,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(sos_55,axiom,
atomic(tptp3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_55) ).
fof(sos_50,axiom,
activity(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_50) ).
fof(sos_61,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_61) ).
fof(sos_58,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_58) ).
fof(sos_60,axiom,
tptp3 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_60) ).
fof(sos_57,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_57) ).
fof(sos_59,axiom,
tptp3 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_59) ).
fof(sos_56,axiom,
tptp4 != tptp3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_56) ).
fof(i_0_63,plain,
! [X95,X96,X97,X98] :
( ( occurrence_of(X97,X95)
& occurrence_of(X98,X96)
& subactivity(X95,X96)
& ~ subactivity_occurrence(X97,X98) )
=> ? [X99] :
( subactivity_occurrence(X99,X98)
& ~ subactivity_occurrence(X99,X97) ) ),
inference(fof_simplification,[status(thm)],[sos_32]) ).
fof(i_0_64,negated_conjecture,
~ ! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( leaf_occ(X168,X166)
& ( occurrence_of(X168,tptp1)
=> ~ ? [X169] :
( occurrence_of(X169,tptp2)
& min_precedes(X167,X169,tptp0) ) )
& ( occurrence_of(X168,tptp2)
=> ~ ? [X170] :
( occurrence_of(X170,tptp1)
& min_precedes(X167,X170,tptp0) ) ) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(i_0_65,plain,
! [X139,X140,X141,X142] :
( ( occurrence_of(X140,X139)
& subactivity_occurrence(X141,X140)
& leaf_occ(X142,X140)
& arboreal(X141)
& ~ min_precedes(X141,X142,X139) )
=> X142 = X141 ),
inference(fof_simplification,[status(thm)],[sos_43]) ).
fof(i_0_66,plain,
! [X135,X136,X137,X138] :
( ( occurrence_of(X136,X135)
& subactivity_occurrence(X137,X136)
& root_occ(X138,X136)
& arboreal(X137)
& ~ min_precedes(X138,X137,X135) )
=> X138 = X137 ),
inference(fof_simplification,[status(thm)],[sos_42]) ).
fof(i_0_67,plain,
! [X36,X37,X38] :
( min_precedes(X36,X37,X38)
=> ~ root(X37,X38) ),
inference(fof_simplification,[status(thm)],[sos_14]) ).
fof(i_0_68,plain,
! [X50,X51,X52] :
( min_precedes(X50,X51,X52)
=> ~ atomic(X52) ),
inference(fof_simplification,[status(thm)],[sos_19]) ).
fof(i_0_69,plain,
! [X88,X89,X90,X91] :
( ( occurrence_of(X90,X88)
& occurrence_of(X91,X89)
& ~ atomic(X88)
& subactivity_occurrence(X90,X91) )
=> subactivity(X88,X89) ),
inference(fof_simplification,[status(thm)],[sos_30]) ).
fof(i_0_70,plain,
! [X110,X111,X112,X113] :
( ( occurrence_of(X112,X113)
& ~ atomic(X113)
& leaf_occ(X110,X112)
& leaf_occ(X111,X112) )
=> X110 = X111 ),
inference(fof_simplification,[status(thm)],[sos_36]) ).
fof(i_0_71,plain,
! [X77,X78] :
( ( occurrence_of(X78,X77)
& ~ atomic(X77) )
=> ? [X79] :
( root(X79,X77)
& subactivity_occurrence(X79,X78) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(i_0_72,plain,
! [X74,X75] :
( ( root(X75,X74)
& ~ atomic(X74) )
=> ? [X76] :
( occurrence_of(X76,X74)
& subactivity_occurrence(X75,X76) ) ),
inference(fof_simplification,[status(thm)],[sos_26]) ).
fof(i_0_73,plain,
! [X146,X147] :
( ( leaf(X146,X147)
& ~ atomic(X147) )
=> ? [X148] :
( occurrence_of(X148,X147)
& leaf_occ(X146,X148) ) ),
inference(fof_simplification,[status(thm)],[sos_45]) ).
fof(i_0_74,plain,
! [X9,X10] :
( earlier(X9,X10)
=> ~ earlier(X10,X9) ),
inference(fof_simplification,[status(thm)],[sos_04]) ).
fof(i_0_75,plain,
! [X446,X447,X448,X449] :
( ( subactivity_occurrence(esk13_4(X446,X447,X448,X449),X449)
| ~ occurrence_of(X448,X446)
| ~ occurrence_of(X449,X447)
| ~ subactivity(X446,X447)
| subactivity_occurrence(X448,X449) )
& ( ~ subactivity_occurrence(esk13_4(X446,X447,X448,X449),X448)
| ~ occurrence_of(X448,X446)
| ~ occurrence_of(X449,X447)
| ~ subactivity(X446,X447)
| subactivity_occurrence(X448,X449) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_63])])])]) ).
fof(i_0_76,plain,
! [X405,X406,X407,X408,X409,X410,X411] :
( ( min_precedes(X405,X406,X407)
| ~ next_subocc(X405,X406,X407) )
& ( ~ min_precedes(X405,X408,X407)
| ~ min_precedes(X408,X406,X407)
| ~ next_subocc(X405,X406,X407) )
& ( min_precedes(X409,esk8_3(X409,X410,X411),X411)
| ~ min_precedes(X409,X410,X411)
| next_subocc(X409,X410,X411) )
& ( min_precedes(esk8_3(X409,X410,X411),X410,X411)
| ~ min_precedes(X409,X410,X411)
| next_subocc(X409,X410,X411) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])]) ).
fof(i_0_77,plain,
! [X393,X394,X395,X396] :
( ~ min_precedes(X394,X393,X396)
| ~ min_precedes(X395,X393,X396)
| ~ precedes(X394,X395)
| min_precedes(X394,X395,X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_20])]) ).
fof(i_0_78,plain,
! [X386,X387,X388,X389] :
( ~ min_precedes(X386,X387,X389)
| ~ min_precedes(X386,X388,X389)
| ~ precedes(X387,X388)
| min_precedes(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])]) ).
fof(i_0_79,plain,
! [X372,X373,X374] :
( ( root(esk5_3(X372,X373,X374),X374)
| ~ min_precedes(X372,X373,X374) )
& ( min_precedes(esk5_3(X372,X373,X374),X373,X374)
| ~ min_precedes(X372,X373,X374) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])])]) ).
fof(i_0_80,plain,
! [X479,X480,X481,X482,X483] :
( ~ next_subocc(X479,X480,X482)
| ~ next_subocc(X479,X481,X482)
| ~ occurrence_of(X483,X482)
| ~ subactivity_occurrence(X481,X483)
| ~ subactivity_occurrence(X480,X483)
| X480 = X481 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_39])]) ).
fof(i_0_81,plain,
! [X509,X510,X511,X512,X513] :
( ~ occurrence_of(X510,X509)
| ~ root_occ(X512,X510)
| ~ leaf_occ(X513,X510)
| ~ subactivity_occurrence(X511,X510)
| ~ min_precedes(X511,X513,X509)
| X511 = X512
| min_precedes(X512,X511,X509) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])]) ).
fof(i_0_82,plain,
! [X514,X515,X516,X517,X518] :
( ~ occurrence_of(X515,X514)
| ~ root_occ(X517,X515)
| ~ leaf_occ(X518,X515)
| ~ subactivity_occurrence(X516,X515)
| ~ min_precedes(X517,X516,X514)
| X516 = X518
| min_precedes(X516,X518,X514) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_48])]) ).
fof(i_0_83,plain,
! [X364,X365,X366] :
( ( subactivity(esk2_3(X364,X365,X366),X364)
| ~ min_precedes(X365,X366,X364) )
& ( subactivity(esk3_3(X364,X365,X366),X364)
| ~ min_precedes(X365,X366,X364) )
& ( atocc(X365,esk2_3(X364,X365,X366))
| ~ min_precedes(X365,X366,X364) )
& ( atocc(X366,esk3_3(X364,X365,X366))
| ~ min_precedes(X365,X366,X364) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_11])])])]) ).
fof(i_0_84,plain,
! [X421,X422,X423] :
( ( occurrence_of(esk10_3(X421,X422,X423),X421)
| ~ min_precedes(X422,X423,X421) )
& ( subactivity_occurrence(X422,esk10_3(X421,X422,X423))
| ~ min_precedes(X422,X423,X421) )
& ( subactivity_occurrence(X423,esk10_3(X421,X422,X423))
| ~ min_precedes(X422,X423,X421) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
fof(i_0_85,plain,
! [X431,X432,X433,X434] :
( ~ occurrence_of(X432,X431)
| ~ arboreal(X433)
| ~ arboreal(X434)
| ~ subactivity_occurrence(X433,X432)
| ~ subactivity_occurrence(X434,X432)
| min_precedes(X433,X434,X431)
| min_precedes(X434,X433,X431)
| X433 = X434 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])]) ).
fof(i_0_86,plain,
! [X397,X398,X400,X401,X402,X403] :
( ( root(X397,X398)
| min_precedes(esk6_2(X397,X398),X397,X398)
| ~ leaf(X397,X398) )
& ( ~ min_precedes(X397,X400,X398)
| ~ leaf(X397,X398) )
& ( ~ root(X401,X402)
| min_precedes(X401,esk7_2(X401,X402),X402)
| leaf(X401,X402) )
& ( ~ min_precedes(X403,X401,X402)
| min_precedes(X401,esk7_2(X401,X402),X402)
| leaf(X401,X402) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])])])])]) ).
fof(i_0_87,negated_conjecture,
! [X524,X525] :
( occurrence_of(esk20_0,tptp0)
& ( occurrence_of(X525,tptp2)
| occurrence_of(X525,tptp1)
| ~ leaf_occ(X525,esk20_0) )
& ( occurrence_of(esk22_2(X524,X525),tptp1)
| occurrence_of(X525,tptp1)
| ~ leaf_occ(X525,esk20_0) )
& ( min_precedes(X524,esk22_2(X524,X525),tptp0)
| occurrence_of(X525,tptp1)
| ~ leaf_occ(X525,esk20_0) )
& ( occurrence_of(X525,tptp2)
| occurrence_of(esk21_2(X524,X525),tptp2)
| ~ leaf_occ(X525,esk20_0) )
& ( occurrence_of(esk22_2(X524,X525),tptp1)
| occurrence_of(esk21_2(X524,X525),tptp2)
| ~ leaf_occ(X525,esk20_0) )
& ( min_precedes(X524,esk22_2(X524,X525),tptp0)
| occurrence_of(esk21_2(X524,X525),tptp2)
| ~ leaf_occ(X525,esk20_0) )
& ( occurrence_of(X525,tptp2)
| min_precedes(X524,esk21_2(X524,X525),tptp0)
| ~ leaf_occ(X525,esk20_0) )
& ( occurrence_of(esk22_2(X524,X525),tptp1)
| min_precedes(X524,esk21_2(X524,X525),tptp0)
| ~ leaf_occ(X525,esk20_0) )
& ( min_precedes(X524,esk22_2(X524,X525),tptp0)
| min_precedes(X524,esk21_2(X524,X525),tptp0)
| ~ leaf_occ(X525,esk20_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_64])])])])]) ).
fof(i_0_88,plain,
! [X484,X485,X486,X487] :
( ~ next_subocc(X485,X484,X487)
| ~ next_subocc(X486,X484,X487)
| X485 = X486 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_40])]) ).
fof(i_0_89,plain,
! [X435,X436,X437,X438] :
( ~ min_precedes(X435,X436,X437)
| ~ occurrence_of(X438,X437)
| ~ subactivity_occurrence(X436,X438)
| subactivity_occurrence(X435,X438) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])]) ).
fof(i_0_90,plain,
! [X496,X497,X498,X499] :
( ~ occurrence_of(X497,X496)
| ~ subactivity_occurrence(X498,X497)
| ~ leaf_occ(X499,X497)
| ~ arboreal(X498)
| min_precedes(X498,X499,X496)
| X499 = X498 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_65])]) ).
fof(i_0_91,plain,
! [X492,X493,X494,X495] :
( ~ occurrence_of(X493,X492)
| ~ subactivity_occurrence(X494,X493)
| ~ root_occ(X495,X493)
| ~ arboreal(X494)
| min_precedes(X495,X494,X492)
| X495 = X494 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_66])]) ).
fof(i_0_92,plain,
! [X471,X472,X473,X474] :
( ~ occurrence_of(X471,X473)
| ~ leaf_occ(X472,X471)
| ~ min_precedes(X472,X474,X473) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_37])])]) ).
fof(i_0_93,plain,
! [X475,X476,X477,X478] :
( ~ occurrence_of(X475,X477)
| ~ root_occ(X476,X475)
| ~ min_precedes(X478,X476,X477) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_38])])]) ).
fof(i_0_94,plain,
! [X488,X489,X490,X491] :
( ~ occurrence_of(X488,X491)
| ~ leaf_occ(X489,X488)
| ~ root_occ(X490,X488)
| X489 = X490
| min_precedes(X490,X489,X491) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_41])]) ).
fof(i_0_95,plain,
! [X376,X377,X378] :
( ~ min_precedes(X376,X377,X378)
| ~ root(X377,X378) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_67])]) ).
fof(i_0_96,plain,
! [X379,X380,X381] :
( ~ min_precedes(X379,X380,X381)
| precedes(X379,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_15])]) ).
fof(i_0_97,plain,
! [X390,X391,X392] :
( ~ min_precedes(X390,X391,X392)
| ~ atomic(X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_68])]) ).
fof(i_0_98,plain,
! [X500,X501,X502] :
( ( arboreal(X500)
| ~ next_subocc(X500,X501,X502) )
& ( arboreal(X501)
| ~ next_subocc(X500,X501,X502) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_44])])]) ).
fof(i_0_99,plain,
! [X506,X507,X508] :
( ~ min_precedes(X506,X507,X508)
| arboreal(X506) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_46])]) ).
fof(i_0_100,plain,
! [X439,X440,X441,X442] :
( ~ occurrence_of(X441,X439)
| ~ occurrence_of(X442,X440)
| atomic(X439)
| ~ subactivity_occurrence(X441,X442)
| subactivity(X439,X440) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_69])]) ).
fof(i_0_101,plain,
! [X519] :
( ( occurrence_of(esk17_1(X519),tptp3)
| ~ occurrence_of(X519,tptp0) )
& ( root_occ(esk17_1(X519),X519)
| ~ occurrence_of(X519,tptp0) )
& ( occurrence_of(esk18_1(X519),tptp4)
| ~ occurrence_of(X519,tptp0) )
& ( next_subocc(esk17_1(X519),esk18_1(X519),tptp0)
| ~ occurrence_of(X519,tptp0) )
& ( occurrence_of(esk19_1(X519),tptp1)
| occurrence_of(esk19_1(X519),tptp2)
| ~ occurrence_of(X519,tptp0) )
& ( next_subocc(esk18_1(X519),esk19_1(X519),tptp0)
| ~ occurrence_of(X519,tptp0) )
& ( leaf_occ(esk19_1(X519),X519)
| ~ occurrence_of(X519,tptp0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_49])])])]) ).
fof(i_0_102,plain,
! [X457,X458,X460,X461,X462] :
( ( occurrence_of(X458,esk15_2(X457,X458))
| ~ leaf_occ(X457,X458) )
& ( subactivity_occurrence(X457,X458)
| ~ leaf_occ(X457,X458) )
& ( leaf(X457,esk15_2(X457,X458))
| ~ leaf_occ(X457,X458) )
& ( ~ occurrence_of(X461,X462)
| ~ subactivity_occurrence(X460,X461)
| ~ leaf(X460,X462)
| leaf_occ(X460,X461) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])]) ).
fof(i_0_103,plain,
! [X451,X452,X454,X455,X456] :
( ( occurrence_of(X452,esk14_2(X451,X452))
| ~ root_occ(X451,X452) )
& ( subactivity_occurrence(X451,X452)
| ~ root_occ(X451,X452) )
& ( root(X451,esk14_2(X451,X452))
| ~ root_occ(X451,X452) )
& ( ~ occurrence_of(X455,X456)
| ~ subactivity_occurrence(X454,X455)
| ~ root(X454,X456)
| root_occ(X454,X455) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_33])])])])])]) ).
fof(i_0_104,plain,
! [X354,X355,X356] :
( ~ earlier(X354,X355)
| ~ earlier(X356,X355)
| earlier(X356,X354)
| earlier(X354,X356)
| X354 = X356 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_06])]) ).
fof(i_0_105,plain,
! [X467,X468,X469,X470] :
( ~ occurrence_of(X469,X470)
| atomic(X470)
| ~ leaf_occ(X467,X469)
| ~ leaf_occ(X468,X469)
| X467 = X468 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_70])]) ).
fof(i_0_106,plain,
! [X463,X464,X465,X466] :
( ~ occurrence_of(X465,X466)
| ~ root_occ(X463,X465)
| ~ root_occ(X464,X465)
| X463 = X464 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])]) ).
fof(i_0_107,plain,
! [X428,X429] :
( ( root(esk12_2(X428,X429),X428)
| ~ occurrence_of(X429,X428)
| atomic(X428) )
& ( subactivity_occurrence(esk12_2(X428,X429),X429)
| ~ occurrence_of(X429,X428)
| atomic(X428) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_71])])])]) ).
fof(i_0_108,plain,
! [X425,X426] :
( ( occurrence_of(esk11_2(X425,X426),X425)
| ~ root(X426,X425)
| atomic(X425) )
& ( subactivity_occurrence(X426,esk11_2(X425,X426))
| ~ root(X426,X425)
| atomic(X425) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_72])])])]) ).
fof(i_0_109,plain,
! [X503,X504] :
( ( occurrence_of(esk16_2(X503,X504),X504)
| ~ leaf(X503,X504)
| atomic(X504) )
& ( leaf_occ(X503,esk16_2(X503,X504))
| ~ leaf(X503,X504)
| atomic(X504) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_73])])])]) ).
fof(i_0_110,plain,
! [X413,X414,X416,X417,X418] :
( ( subactivity(X414,esk9_2(X413,X414))
| ~ atocc(X413,X414) )
& ( atomic(esk9_2(X413,X414))
| ~ atocc(X413,X414) )
& ( occurrence_of(X413,esk9_2(X413,X414))
| ~ atocc(X413,X414) )
& ( ~ subactivity(X417,X418)
| ~ atomic(X418)
| ~ occurrence_of(X416,X418)
| atocc(X416,X417) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_23])])])])])]) ).
fof(i_0_111,plain,
! [X369,X370] :
( ( subactivity(esk4_2(X369,X370),X369)
| ~ root(X370,X369) )
& ( atocc(X370,esk4_2(X369,X370))
| ~ root(X370,X369) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])]) ).
fof(i_0_112,plain,
! [X443,X444,X445] :
( ~ subactivity_occurrence(X443,X444)
| ~ subactivity_occurrence(X444,X445)
| subactivity_occurrence(X443,X445) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_31])]) ).
fof(i_0_113,plain,
! [X351,X352,X353] :
( ~ earlier(X351,X352)
| ~ earlier(X352,X353)
| earlier(X351,X353) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])]) ).
fof(i_0_114,plain,
! [X345,X346,X347] :
( ~ occurrence_of(X345,X346)
| ~ occurrence_of(X345,X347)
| X346 = X347 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])]) ).
fof(i_0_115,plain,
! [X349,X350] :
( ~ earlier(X349,X350)
| ~ earlier(X350,X349) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_74])]) ).
fof(i_0_116,plain,
! [X384,X385] :
( ~ atocc(X384,X385)
| ~ legal(X384)
| root(X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_17])]) ).
fof(i_0_117,plain,
! [X362,X363] :
( ( earlier(X362,X363)
| ~ precedes(X362,X363) )
& ( legal(X363)
| ~ precedes(X362,X363) )
& ( ~ earlier(X362,X363)
| ~ legal(X363)
| precedes(X362,X363) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_10])])]) ).
fof(i_0_118,plain,
! [X360,X361] :
( ~ legal(X360)
| ~ earlier(X361,X360)
| legal(X361) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])]) ).
fof(i_0_119,plain,
! [X357,X358] :
( ( ~ arboreal(X357)
| atomic(X358)
| ~ occurrence_of(X357,X358) )
& ( ~ atomic(X358)
| arboreal(X357)
| ~ occurrence_of(X357,X358) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])]) ).
fof(i_0_120,plain,
! [X343] :
( ( activity(esk1_1(X343))
| ~ activity_occurrence(X343) )
& ( occurrence_of(X343,esk1_1(X343))
| ~ activity_occurrence(X343) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])]) ).
fof(i_0_121,plain,
! [X382,X383] :
( ~ root(X382,X383)
| legal(X382) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])]) ).
fof(i_0_122,plain,
! [X419,X420] :
( ( activity_occurrence(X419)
| ~ subactivity_occurrence(X419,X420) )
& ( activity_occurrence(X420)
| ~ subactivity_occurrence(X419,X420) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])]) ).
fof(i_0_123,plain,
! [X341,X342] :
( ( activity(X341)
| ~ occurrence_of(X342,X341) )
& ( activity_occurrence(X342)
| ~ occurrence_of(X342,X341) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])]) ).
fof(i_0_124,plain,
! [X348] :
( ~ activity(X348)
| subactivity(X348,X348) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])]) ).
fof(i_0_125,plain,
! [X359] :
( ~ legal(X359)
| arboreal(X359) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])]) ).
fof(i_0_126,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
cnf(i_0_127,plain,
( subactivity_occurrence(X3,X4)
| ~ subactivity_occurrence(esk13_4(X1,X2,X3,X4),X3)
| ~ occurrence_of(X3,X1)
| ~ occurrence_of(X4,X2)
| ~ subactivity(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_128,plain,
( subactivity_occurrence(esk13_4(X1,X2,X3,X4),X4)
| subactivity_occurrence(X3,X4)
| ~ occurrence_of(X3,X1)
| ~ occurrence_of(X4,X2)
| ~ subactivity(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_129,plain,
( min_precedes(esk8_3(X1,X2,X3),X2,X3)
| next_subocc(X1,X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_130,plain,
( min_precedes(X1,esk8_3(X1,X2,X3),X3)
| next_subocc(X1,X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_131,plain,
( ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X2,X4,X3)
| ~ next_subocc(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_132,plain,
( min_precedes(X1,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X4,X2,X3)
| ~ precedes(X1,X4) ),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_133,plain,
( min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3)
| ~ min_precedes(X1,X4,X3)
| ~ precedes(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_134,plain,
( min_precedes(esk5_3(X1,X2,X3),X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_135,plain,
( X2 = X4
| ~ next_subocc(X1,X2,X3)
| ~ next_subocc(X1,X4,X3)
| ~ occurrence_of(X5,X3)
| ~ subactivity_occurrence(X4,X5)
| ~ subactivity_occurrence(X2,X5) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_136,plain,
( X5 = X3
| min_precedes(X3,X5,X2)
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X5,X1)
| ~ min_precedes(X5,X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_137,plain,
( X5 = X4
| min_precedes(X5,X4,X2)
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X5,X1)
| ~ min_precedes(X3,X5,X2) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_138,plain,
( root(esk5_3(X1,X2,X3),X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_139,plain,
( subactivity(esk3_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_140,plain,
( subactivity(esk2_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_141,plain,
( occurrence_of(esk10_3(X1,X2,X3),X1)
| ~ min_precedes(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_142,plain,
( subactivity_occurrence(X1,esk10_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_143,plain,
( subactivity_occurrence(X1,esk10_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_144,plain,
( atocc(X1,esk3_3(X2,X3,X1))
| ~ min_precedes(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_145,plain,
( atocc(X1,esk2_3(X2,X1,X3))
| ~ min_precedes(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_146,plain,
( min_precedes(X3,X4,X2)
| min_precedes(X4,X3,X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ arboreal(X3)
| ~ arboreal(X4)
| ~ subactivity_occurrence(X3,X1)
| ~ subactivity_occurrence(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_147,plain,
( min_precedes(X2,esk7_2(X2,X3),X3)
| leaf(X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_148,negated_conjecture,
( min_precedes(X1,esk22_2(X1,X2),tptp0)
| min_precedes(X1,esk21_2(X1,X2),tptp0)
| ~ leaf_occ(X2,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_149,plain,
( X1 = X4
| ~ next_subocc(X1,X2,X3)
| ~ next_subocc(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_150,plain,
( subactivity_occurrence(X1,X4)
| ~ min_precedes(X1,X2,X3)
| ~ occurrence_of(X4,X3)
| ~ subactivity_occurrence(X2,X4) ),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_151,plain,
( min_precedes(X1,X2,X3)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_152,negated_conjecture,
( occurrence_of(esk22_2(X1,X2),tptp1)
| min_precedes(X1,esk21_2(X1,X2),tptp0)
| ~ leaf_occ(X2,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_153,negated_conjecture,
( min_precedes(X1,esk22_2(X1,X2),tptp0)
| occurrence_of(esk21_2(X1,X2),tptp2)
| ~ leaf_occ(X2,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_154,plain,
( min_precedes(X3,X4,X2)
| X4 = X3
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ leaf_occ(X4,X1)
| ~ arboreal(X3) ),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_155,plain,
( min_precedes(X4,X3,X2)
| X4 = X3
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root_occ(X4,X1)
| ~ arboreal(X3) ),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_156,plain,
( ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_157,plain,
( ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ min_precedes(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_158,plain,
( X3 = X4
| min_precedes(X4,X3,X2)
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_159,plain,
( root(X1,X2)
| min_precedes(esk6_2(X1,X2),X1,X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_160,plain,
( min_precedes(X1,esk7_2(X1,X2),X2)
| leaf(X1,X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_161,negated_conjecture,
( occurrence_of(X1,tptp2)
| min_precedes(X2,esk21_2(X2,X1),tptp0)
| ~ leaf_occ(X1,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_162,negated_conjecture,
( min_precedes(X1,esk22_2(X1,X2),tptp0)
| occurrence_of(X2,tptp1)
| ~ leaf_occ(X2,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_163,plain,
( ~ min_precedes(X1,X2,X3)
| ~ leaf(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_164,plain,
( ~ min_precedes(X1,X2,X3)
| ~ root(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_95]),
[final] ).
cnf(i_0_165,plain,
( precedes(X1,X2)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_96]),
[final] ).
cnf(i_0_166,negated_conjecture,
( occurrence_of(esk22_2(X1,X2),tptp1)
| occurrence_of(esk21_2(X1,X2),tptp2)
| ~ leaf_occ(X2,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_167,plain,
( ~ min_precedes(X1,X2,X3)
| ~ atomic(X3) ),
inference(split_conjunct,[status(thm)],[i_0_97]),
[final] ).
cnf(i_0_168,plain,
( arboreal(X1)
| ~ next_subocc(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_169,plain,
( arboreal(X1)
| ~ next_subocc(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_98]),
[final] ).
cnf(i_0_170,plain,
( arboreal(X1)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_99]),
[final] ).
cnf(i_0_171,plain,
( atomic(X2)
| subactivity(X2,X4)
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X3,X4)
| ~ subactivity_occurrence(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_100]),
[final] ).
cnf(i_0_172,plain,
( next_subocc(esk18_1(X1),esk19_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_173,plain,
( next_subocc(esk17_1(X1),esk18_1(X1),tptp0)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_174,plain,
( leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ leaf(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_175,plain,
( root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ root(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_176,plain,
( earlier(X3,X1)
| earlier(X1,X3)
| X1 = X3
| ~ earlier(X1,X2)
| ~ earlier(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_104]),
[final] ).
cnf(i_0_177,plain,
( atomic(X2)
| X3 = X4
| ~ occurrence_of(X1,X2)
| ~ leaf_occ(X3,X1)
| ~ leaf_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_105]),
[final] ).
cnf(i_0_178,negated_conjecture,
( occurrence_of(X1,tptp2)
| occurrence_of(esk21_2(X2,X1),tptp2)
| ~ leaf_occ(X1,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_179,negated_conjecture,
( occurrence_of(esk22_2(X1,X2),tptp1)
| occurrence_of(X2,tptp1)
| ~ leaf_occ(X2,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_180,plain,
( X3 = X4
| ~ occurrence_of(X1,X2)
| ~ root_occ(X3,X1)
| ~ root_occ(X4,X1) ),
inference(split_conjunct,[status(thm)],[i_0_106]),
[final] ).
cnf(i_0_181,plain,
( subactivity_occurrence(esk12_2(X1,X2),X2)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_182,plain,
( root(esk12_2(X1,X2),X1)
| atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_107]),
[final] ).
cnf(i_0_183,plain,
( occurrence_of(esk11_2(X1,X2),X1)
| atomic(X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_184,plain,
( occurrence_of(esk16_2(X1,X2),X2)
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_185,plain,
( leaf_occ(X1,esk16_2(X1,X2))
| atomic(X2)
| ~ leaf(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_109]),
[final] ).
cnf(i_0_186,plain,
( subactivity_occurrence(X1,esk11_2(X2,X1))
| atomic(X2)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_108]),
[final] ).
cnf(i_0_187,plain,
( atocc(X3,X1)
| ~ subactivity(X1,X2)
| ~ atomic(X2)
| ~ occurrence_of(X3,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_188,plain,
( subactivity(esk4_2(X1,X2),X1)
| ~ root(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_189,plain,
( leaf(X1,esk15_2(X1,X2))
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_190,plain,
( root(X1,esk14_2(X1,X2))
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_191,plain,
( atocc(X1,esk4_2(X2,X1))
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_111]),
[final] ).
cnf(i_0_192,plain,
( subactivity(X1,esk9_2(X2,X1))
| ~ atocc(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_193,plain,
( occurrence_of(X1,esk15_2(X2,X1))
| ~ leaf_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_194,plain,
( occurrence_of(X1,esk14_2(X2,X1))
| ~ root_occ(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_195,plain,
( occurrence_of(X1,esk9_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_196,plain,
( subactivity_occurrence(X1,X3)
| ~ subactivity_occurrence(X1,X2)
| ~ subactivity_occurrence(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_112]),
[final] ).
cnf(i_0_197,plain,
( earlier(X1,X3)
| ~ earlier(X1,X2)
| ~ earlier(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_113]),
[final] ).
cnf(i_0_198,plain,
( occurrence_of(esk19_1(X1),tptp1)
| occurrence_of(esk19_1(X1),tptp2)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_199,plain,
( atomic(esk9_2(X1,X2))
| ~ atocc(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_110]),
[final] ).
cnf(i_0_200,plain,
( X2 = X3
| ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,X3) ),
inference(split_conjunct,[status(thm)],[i_0_114]),
[final] ).
cnf(i_0_201,negated_conjecture,
( occurrence_of(X1,tptp2)
| occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,esk20_0) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_202,plain,
( ~ earlier(X1,X2)
| ~ earlier(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_115]),
[final] ).
cnf(i_0_203,plain,
( root(X1,X2)
| ~ atocc(X1,X2)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_116]),
[final] ).
cnf(i_0_204,plain,
( precedes(X1,X2)
| ~ earlier(X1,X2)
| ~ legal(X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_205,plain,
( leaf_occ(esk19_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_206,plain,
( root_occ(esk17_1(X1),X1)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_207,plain,
( occurrence_of(esk18_1(X1),tptp4)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_208,plain,
( occurrence_of(esk17_1(X1),tptp3)
| ~ occurrence_of(X1,tptp0) ),
inference(split_conjunct,[status(thm)],[i_0_101]),
[final] ).
cnf(i_0_209,plain,
( subactivity_occurrence(X1,X2)
| ~ leaf_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_102]),
[final] ).
cnf(i_0_210,plain,
( subactivity_occurrence(X1,X2)
| ~ root_occ(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_103]),
[final] ).
cnf(i_0_211,plain,
( earlier(X1,X2)
| ~ precedes(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_212,plain,
( legal(X2)
| ~ legal(X1)
| ~ earlier(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_118]),
[final] ).
cnf(i_0_213,plain,
( atomic(X2)
| ~ arboreal(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_214,plain,
( arboreal(X2)
| ~ atomic(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_119]),
[final] ).
cnf(i_0_215,plain,
( occurrence_of(X1,esk1_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_216,plain,
( legal(X1)
| ~ root(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_121]),
[final] ).
cnf(i_0_217,plain,
( legal(X1)
| ~ precedes(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_117]),
[final] ).
cnf(i_0_218,plain,
( activity_occurrence(X1)
| ~ subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_219,plain,
( activity_occurrence(X1)
| ~ subactivity_occurrence(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_122]),
[final] ).
cnf(i_0_220,plain,
( activity_occurrence(X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_221,plain,
( activity(X1)
| ~ occurrence_of(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_123]),
[final] ).
cnf(i_0_222,plain,
( subactivity(X1,X1)
| ~ activity(X1) ),
inference(split_conjunct,[status(thm)],[i_0_124]),
[final] ).
cnf(i_0_223,plain,
( activity(esk1_1(X1))
| ~ activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[i_0_120]),
[final] ).
cnf(i_0_224,plain,
( arboreal(X1)
| ~ legal(X1) ),
inference(split_conjunct,[status(thm)],[i_0_125]),
[final] ).
cnf(i_0_225,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_226,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[i_0_126]),
[final] ).
cnf(i_0_227,plain,
atomic(tptp2),
inference(split_conjunct,[status(thm)],[sos_54]),
[final] ).
cnf(i_0_228,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_53]),
[final] ).
cnf(i_0_229,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]),
[final] ).
cnf(i_0_230,plain,
atomic(tptp3),
inference(split_conjunct,[status(thm)],[sos_55]),
[final] ).
cnf(i_0_231,plain,
activity(tptp0),
inference(split_conjunct,[status(thm)],[sos_50]),
[final] ).
cnf(i_0_232,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[sos_61]),
[final] ).
cnf(i_0_233,plain,
tptp4 != tptp2,
inference(split_conjunct,[status(thm)],[sos_58]),
[final] ).
cnf(i_0_234,plain,
tptp3 != tptp2,
inference(split_conjunct,[status(thm)],[sos_60]),
[final] ).
cnf(i_0_235,plain,
tptp4 != tptp1,
inference(split_conjunct,[status(thm)],[sos_57]),
[final] ).
cnf(i_0_236,plain,
tptp3 != tptp1,
inference(split_conjunct,[status(thm)],[sos_59]),
[final] ).
cnf(i_0_237,plain,
tptp4 != tptp3,
inference(split_conjunct,[status(thm)],[sos_56]),
[final] ).
cnf(i_0_238,axiom,
X1 = X1 ).
cnf(i_0_239,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_240,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_241,axiom,
( X1 != X2
| ~ subactivity_occurrence(X1,X3)
| subactivity_occurrence(X2,X3) ) ).
cnf(i_0_242,axiom,
( X1 != X2
| ~ subactivity_occurrence(X3,X1)
| subactivity_occurrence(X3,X2) ) ).
cnf(i_0_243,axiom,
( X1 != X2
| ~ atocc(X1,X3)
| atocc(X2,X3) ) ).
cnf(i_0_244,axiom,
( X1 != X2
| ~ atocc(X3,X1)
| atocc(X3,X2) ) ).
cnf(i_0_245,axiom,
( X1 != X2
| ~ arboreal(X1)
| arboreal(X2) ) ).
cnf(i_0_246,axiom,
( X1 != X2
| ~ leaf(X1,X3)
| leaf(X2,X3) ) ).
cnf(i_0_247,axiom,
( X1 != X2
| ~ leaf(X3,X1)
| leaf(X3,X2) ) ).
cnf(i_0_248,axiom,
( X1 != X2
| ~ atomic(X1)
| atomic(X2) ) ).
cnf(i_0_249,axiom,
( X1 != X2
| ~ earlier(X1,X3)
| earlier(X2,X3) ) ).
cnf(i_0_250,axiom,
( X1 != X2
| ~ earlier(X3,X1)
| earlier(X3,X2) ) ).
cnf(i_0_251,axiom,
( X1 != X2
| ~ legal(X1)
| legal(X2) ) ).
cnf(i_0_252,axiom,
( X1 != X2
| ~ activity_occurrence(X1)
| activity_occurrence(X2) ) ).
cnf(i_0_253,axiom,
( X1 != X2
| ~ activity(X1)
| activity(X2) ) ).
cnf(i_0_254,axiom,
( X1 != X2
| ~ occurrence_of(X1,X3)
| occurrence_of(X2,X3) ) ).
cnf(i_0_255,axiom,
( X1 != X2
| ~ occurrence_of(X3,X1)
| occurrence_of(X3,X2) ) ).
cnf(i_0_256,axiom,
( X1 != X2
| ~ subactivity(X1,X3)
| subactivity(X2,X3) ) ).
cnf(i_0_257,axiom,
( X1 != X2
| ~ subactivity(X3,X1)
| subactivity(X3,X2) ) ).
cnf(i_0_258,axiom,
( X1 != X2
| ~ min_precedes(X1,X3,X4)
| min_precedes(X2,X3,X4) ) ).
cnf(i_0_259,axiom,
( X1 != X2
| ~ min_precedes(X3,X1,X4)
| min_precedes(X3,X2,X4) ) ).
cnf(i_0_260,axiom,
( X1 != X2
| ~ min_precedes(X3,X4,X1)
| min_precedes(X3,X4,X2) ) ).
cnf(i_0_261,axiom,
( X1 != X2
| ~ next_subocc(X1,X3,X4)
| next_subocc(X2,X3,X4) ) ).
cnf(i_0_262,axiom,
( X1 != X2
| ~ next_subocc(X3,X1,X4)
| next_subocc(X3,X2,X4) ) ).
cnf(i_0_263,axiom,
( X1 != X2
| ~ next_subocc(X3,X4,X1)
| next_subocc(X3,X4,X2) ) ).
cnf(i_0_264,axiom,
( X1 != X2
| ~ precedes(X1,X3)
| precedes(X2,X3) ) ).
cnf(i_0_265,axiom,
( X1 != X2
| ~ precedes(X3,X1)
| precedes(X3,X2) ) ).
cnf(i_0_266,axiom,
( X1 != X2
| ~ root_occ(X1,X3)
| root_occ(X2,X3) ) ).
cnf(i_0_267,axiom,
( X1 != X2
| ~ root_occ(X3,X1)
| root_occ(X3,X2) ) ).
cnf(i_0_268,axiom,
( X1 != X2
| ~ leaf_occ(X1,X3)
| leaf_occ(X2,X3) ) ).
cnf(i_0_269,axiom,
( X1 != X2
| ~ leaf_occ(X3,X1)
| leaf_occ(X3,X2) ) ).
cnf(i_0_270,axiom,
( X1 != X2
| ~ root(X1,X3)
| root(X2,X3) ) ).
cnf(i_0_271,axiom,
( X1 != X2
| ~ root(X3,X1)
| root(X3,X2) ) ).
cnf(i_0_238_001,axiom,
X1 = X1 ).
cnf(i_0_239_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_240_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_241_004,axiom,
( X1 != X2
| ~ subactivity_occurrence(X1,X3)
| subactivity_occurrence(X2,X3) ) ).
cnf(i_0_242_005,axiom,
( X1 != X2
| ~ subactivity_occurrence(X3,X1)
| subactivity_occurrence(X3,X2) ) ).
cnf(i_0_243_006,axiom,
( X1 != X2
| ~ atocc(X1,X3)
| atocc(X2,X3) ) ).
cnf(i_0_244_007,axiom,
( X1 != X2
| ~ atocc(X3,X1)
| atocc(X3,X2) ) ).
cnf(i_0_245_008,axiom,
( X1 != X2
| ~ arboreal(X1)
| arboreal(X2) ) ).
cnf(i_0_246_009,axiom,
( X1 != X2
| ~ leaf(X1,X3)
| leaf(X2,X3) ) ).
cnf(i_0_247_010,axiom,
( X1 != X2
| ~ leaf(X3,X1)
| leaf(X3,X2) ) ).
cnf(i_0_248_011,axiom,
( X1 != X2
| ~ atomic(X1)
| atomic(X2) ) ).
cnf(i_0_249_012,axiom,
( X1 != X2
| ~ earlier(X1,X3)
| earlier(X2,X3) ) ).
cnf(i_0_250_013,axiom,
( X1 != X2
| ~ earlier(X3,X1)
| earlier(X3,X2) ) ).
cnf(i_0_251_014,axiom,
( X1 != X2
| ~ legal(X1)
| legal(X2) ) ).
cnf(i_0_252_015,axiom,
( X1 != X2
| ~ activity_occurrence(X1)
| activity_occurrence(X2) ) ).
cnf(i_0_253_016,axiom,
( X1 != X2
| ~ activity(X1)
| activity(X2) ) ).
cnf(i_0_254_017,axiom,
( X1 != X2
| ~ occurrence_of(X1,X3)
| occurrence_of(X2,X3) ) ).
cnf(i_0_255_018,axiom,
( X1 != X2
| ~ occurrence_of(X3,X1)
| occurrence_of(X3,X2) ) ).
cnf(i_0_256_019,axiom,
( X1 != X2
| ~ subactivity(X1,X3)
| subactivity(X2,X3) ) ).
cnf(i_0_257_020,axiom,
( X1 != X2
| ~ subactivity(X3,X1)
| subactivity(X3,X2) ) ).
cnf(i_0_258_021,axiom,
( X1 != X2
| ~ min_precedes(X1,X3,X4)
| min_precedes(X2,X3,X4) ) ).
cnf(i_0_259_022,axiom,
( X1 != X2
| ~ min_precedes(X3,X1,X4)
| min_precedes(X3,X2,X4) ) ).
cnf(i_0_260_023,axiom,
( X1 != X2
| ~ min_precedes(X3,X4,X1)
| min_precedes(X3,X4,X2) ) ).
cnf(i_0_261_024,axiom,
( X1 != X2
| ~ next_subocc(X1,X3,X4)
| next_subocc(X2,X3,X4) ) ).
cnf(i_0_262_025,axiom,
( X1 != X2
| ~ next_subocc(X3,X1,X4)
| next_subocc(X3,X2,X4) ) ).
cnf(i_0_263_026,axiom,
( X1 != X2
| ~ next_subocc(X3,X4,X1)
| next_subocc(X3,X4,X2) ) ).
cnf(i_0_264_027,axiom,
( X1 != X2
| ~ precedes(X1,X3)
| precedes(X2,X3) ) ).
cnf(i_0_265_028,axiom,
( X1 != X2
| ~ precedes(X3,X1)
| precedes(X3,X2) ) ).
cnf(i_0_266_029,axiom,
( X1 != X2
| ~ root_occ(X1,X3)
| root_occ(X2,X3) ) ).
cnf(i_0_267_030,axiom,
( X1 != X2
| ~ root_occ(X3,X1)
| root_occ(X3,X2) ) ).
cnf(i_0_268_031,axiom,
( X1 != X2
| ~ leaf_occ(X1,X3)
| leaf_occ(X2,X3) ) ).
cnf(i_0_269_032,axiom,
( X1 != X2
| ~ leaf_occ(X3,X1)
| leaf_occ(X3,X2) ) ).
cnf(i_0_270_033,axiom,
( X1 != X2
| ~ root(X1,X3)
| root(X2,X3) ) ).
cnf(i_0_271_034,axiom,
( X1 != X2
| ~ root(X3,X1)
| root(X3,X2) ) ).
cnf(i_0_272,plain,
~ min_precedes(X1,X2,tptp2),
inference(scs_inference,[],[i_0_227,i_0_167]) ).
cnf(i_0_273,plain,
( ~ atomic(X1)
| ~ min_precedes(X2,X3,X1) ),
inference(rename_variables,[],[i_0_167]) ).
cnf(i_0_274,plain,
leaf_occ(esk19_1(esk20_0),esk20_0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_167,i_0_205]) ).
cnf(i_0_275,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk19_1(X1),X1) ),
inference(rename_variables,[],[i_0_205]) ).
cnf(i_0_276,plain,
root_occ(esk17_1(esk20_0),esk20_0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_167,i_0_205,i_0_206]) ).
cnf(i_0_277,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(rename_variables,[],[i_0_206]) ).
cnf(i_0_278,plain,
subactivity_occurrence(esk19_1(esk20_0),esk20_0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_167,i_0_205,i_0_206,i_0_209]) ).
cnf(i_0_279,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(rename_variables,[],[i_0_209]) ).
cnf(i_0_280,plain,
subactivity_occurrence(esk17_1(esk20_0),esk20_0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210]) ).
cnf(i_0_281,plain,
( ~ root_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_282,plain,
subactivity(tptp0,tptp0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222]) ).
cnf(i_0_283,plain,
( ~ activity(X1)
| subactivity(X1,X1) ),
inference(rename_variables,[],[i_0_222]) ).
cnf(i_0_284,plain,
~ min_precedes(esk19_1(esk20_0),X1,tptp0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156]) ).
cnf(i_0_285,plain,
( ~ occurrence_of(X1,X2)
| ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1) ),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_286,plain,
~ min_precedes(X1,esk17_1(esk20_0),tptp0),
inference(scs_inference,[],[i_0_225,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157]) ).
cnf(i_0_287,plain,
( ~ occurrence_of(X1,X2)
| ~ min_precedes(X3,X4,X2)
| ~ root_occ(X4,X1) ),
inference(rename_variables,[],[i_0_157]) ).
cnf(i_0_288,plain,
~ arboreal(esk20_0),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213]) ).
cnf(i_0_289,plain,
( ~ occurrence_of(X1,X2)
| atomic(X2)
| ~ arboreal(X1) ),
inference(rename_variables,[],[i_0_213]) ).
cnf(i_0_290,plain,
tptp2 != tptp0,
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248]) ).
cnf(i_0_291,plain,
~ min_precedes(esk20_0,X1,X2),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170]) ).
cnf(i_0_292,plain,
( arboreal(X1)
| ~ min_precedes(X1,X2,X3) ),
inference(rename_variables,[],[i_0_170]) ).
cnf(i_0_293,plain,
~ next_subocc(esk20_0,X1,X2),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170,i_0_168]) ).
cnf(i_0_294,plain,
( arboreal(X1)
| ~ next_subocc(X1,X2,X3) ),
inference(rename_variables,[],[i_0_168]) ).
cnf(i_0_295,plain,
~ next_subocc(X1,esk20_0,X2),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170,i_0_168,i_0_169]) ).
cnf(i_0_296,plain,
( arboreal(X1)
| ~ next_subocc(X2,X1,X3) ),
inference(rename_variables,[],[i_0_169]) ).
cnf(i_0_297,plain,
min_precedes(esk19_1(esk20_0),esk22_2(esk19_1(esk20_0),esk19_1(esk20_0)),tptp0),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170,i_0_168,i_0_169,i_0_148]) ).
cnf(i_0_298,plain,
( min_precedes(X1,esk21_2(X1,X2),tptp0)
| min_precedes(X1,esk22_2(X1,X2),tptp0)
| ~ leaf_occ(X2,esk20_0) ),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_299,plain,
occurrence_of(esk19_1(esk20_0),tptp2),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170,i_0_168,i_0_169,i_0_148,i_0_161]) ).
cnf(i_0_300,plain,
( min_precedes(X1,esk21_2(X1,X2),tptp0)
| ~ leaf_occ(X2,esk20_0)
| occurrence_of(X2,tptp2) ),
inference(rename_variables,[],[i_0_161]) ).
cnf(i_0_301,plain,
occurrence_of(esk19_1(esk20_0),tptp1),
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170,i_0_168,i_0_169,i_0_148,i_0_161,i_0_162]) ).
cnf(i_0_302,plain,
( min_precedes(X1,esk22_2(X1,X2),tptp0)
| occurrence_of(X2,tptp1)
| ~ leaf_occ(X2,esk20_0) ),
inference(rename_variables,[],[i_0_162]) ).
cnf(i_0_303,plain,
$false,
inference(scs_inference,[],[i_0_225,i_0_226,i_0_227,i_0_231,i_0_167,i_0_205,i_0_206,i_0_209,i_0_210,i_0_222,i_0_156,i_0_157,i_0_213,i_0_248,i_0_170,i_0_168,i_0_169,i_0_148,i_0_161,i_0_162,i_0_285]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO010+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n026.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 01:30:53 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.30/1.62 % Version : CSE_E---1.7
% 0.30/1.62 % Problem : theBenchmark.p
% 0.30/1.62 % SZS status Theorem for theBenchmark.p
% 0.30/1.62 % SZS output start CNFRefutation
% See solution above
% 0.42/1.74 % Total time : 1.272s
%------------------------------------------------------------------------------