%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO001+2 : 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 : n019.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 155.16s 28.62s
% Output : CNFRefutation 155.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 29
% Syntax : Number of formulae : 190 ( 12 unt; 0 def)
% Number of atoms : 670 ( 55 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 824 ( 344 ~; 345 |; 102 &)
% ( 6 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-5 aty)
% Number of functors : 27 ( 27 usr; 7 con; 0-6 aty)
% Number of variables : 543 ( 38 sgn 189 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(sos_22,axiom,
! [X65,X66,X67] :
( ( occurrence_of(X65,X67)
& occurrence_of(X65,X66) )
=> X66 = X67 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_22) ).
fof(sos_18,axiom,
! [X53] :
( activity_occurrence(X53)
=> ? [X54] :
( occurrence_of(X53,X54)
& activity(X54) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(sos_29,axiom,
! [X90,X91] :
( occurrence_of(X91,X90)
=> ( activity_occurrence(X91)
& activity(X90) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_10,axiom,
! [X33,X34] :
( root_occ(X33,X34)
<=> ? [X35] :
( root(X33,X35)
& subactivity_occurrence(X33,X34)
& occurrence_of(X34,X35) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_10) ).
fof(sos_52,axiom,
! [X139,X140,X141] :
( tptp1(X139,X140,X141)
=> ( root(X141,X140)
& ~ atomic(X140)
& ~ atomic(X139)
& activity(X139) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_52) ).
fof(goals,conjecture,
~ ? [X152,X153,X154] :
( occurrence_of(X154,X152)
& tptp1(X152,tptp0,X153) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_24,axiom,
! [X71,X72,X73] :
( min_precedes(X72,X73,X71)
=> ? [X74] :
( subactivity_occurrence(X73,X74)
& subactivity_occurrence(X72,X74)
& occurrence_of(X74,X71) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_24) ).
fof(sos_32,axiom,
! [X96] :
( occurrence_of(X96,tptp0)
=> ? [X97,X98] :
( next_subocc(X97,X98,tptp0)
& leaf_occ(X98,X96)
& ( occurrence_of(X98,tptp2)
| occurrence_of(X98,tptp3) )
& root_occ(X97,X96)
& occurrence_of(X97,tptp4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(sos_13,axiom,
! [X41,X42] :
( occurrence_of(X41,X42)
=> ( arboreal(X41)
<=> atomic(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(sos_30,axiom,
! [X92,X93] :
( ( ~ atomic(X92)
& occurrence_of(X93,X92) )
=> ? [X94] :
( subactivity_occurrence(X94,X93)
& root(X94,X92) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_30) ).
fof(sos_07,axiom,
! [X26,X27,X28] :
( min_precedes(X26,X27,X28)
=> ~ root(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_28,axiom,
! [X86,X87,X88,X89] :
( ( subactivity_occurrence(X89,X87)
& subactivity_occurrence(X88,X87)
& arboreal(X89)
& arboreal(X88)
& occurrence_of(X87,X86) )
=> ( X88 = X89
| min_precedes(X89,X88,X86)
| min_precedes(X88,X89,X86) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_28) ).
fof(sos_35,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_15,axiom,
! [X47,X48] :
( atocc(X47,X48)
<=> ? [X49] :
( occurrence_of(X47,X49)
& atomic(X49)
& subactivity(X48,X49) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_15) ).
fof(sos_02,axiom,
! [X8,X9,X10,X11] :
( ( root_occ(X9,X10)
& root_occ(X8,X10)
& occurrence_of(X10,X11) )
=> X8 = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_11,axiom,
! [X36,X37] :
( leaf_occ(X36,X37)
<=> ? [X38] :
( leaf(X36,X38)
& subactivity_occurrence(X36,X37)
& occurrence_of(X37,X38) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(sos_26,axiom,
! [X78,X79,X80] :
( min_precedes(X79,X80,X78)
=> ? [X81,X82] :
( atocc(X80,X82)
& atocc(X79,X81)
& subactivity(X82,X78)
& subactivity(X81,X78) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_25,axiom,
! [X75,X76] :
( ( ~ atomic(X76)
& leaf(X75,X76) )
=> ? [X77] :
( leaf_occ(X75,X77)
& occurrence_of(X77,X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_03,axiom,
! [X12,X13,X14,X15] :
( ( leaf_occ(X13,X14)
& leaf_occ(X12,X14)
& ~ atomic(X15)
& occurrence_of(X14,X15) )
=> X12 = X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_31,axiom,
! [X95] :
( activity(X95)
=> subactivity(X95,X95) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_31) ).
fof(sos_05,axiom,
! [X20,X21,X22] :
( next_subocc(X20,X21,X22)
=> ( arboreal(X21)
& arboreal(X20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(sos_04,axiom,
! [X16,X17,X18] :
( next_subocc(X16,X17,X18)
<=> ( ~ ? [X19] :
( min_precedes(X19,X17,X18)
& min_precedes(X16,X19,X18) )
& min_precedes(X16,X17,X18) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(sos_14,axiom,
! [X43,X44] :
( leaf(X43,X44)
<=> ( ~ ? [X46] : min_precedes(X43,X46,X44)
& ( ? [X45] : min_precedes(X45,X43,X44)
| root(X43,X44) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14) ).
fof(sos_21,axiom,
! [X61,X62,X63] :
( ( leaf_occ(X62,X61)
& occurrence_of(X61,X63) )
=> ~ ? [X64] : min_precedes(X62,X64,X63) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_21) ).
fof(sos_46,axiom,
! [X104,X105,X106,X107,X108] :
( send_message(X104,X105,X106,X107,X108)
=> ( X104 != tptp2
& X104 != tptp3
& X104 != tptp4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_46) ).
fof(sos_47,axiom,
! [X109,X110,X111,X112,X113,X114] :
( ( occurrence_of(X114,X109)
& send_message(X109,X110,X111,X112,X113) )
=> min_precedes(X112,X114,X113) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_47) ).
fof(sos_51,axiom,
! [X131,X132,X133,X134,X135,X136] :
( ( occurrence_of(X136,X131)
& transmit_message(X131,X132,X133,X134,X135) )
=> ? [X137,X138] :
( root_occ(X138,X136)
& occurrence_of(X138,X137)
& send_message(X137,X132,X133,X134,X135) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_51) ).
fof(sos_53,axiom,
! [X142,X143,X144,X145] :
( ( occurrence_of(X145,X142)
& tptp1(X142,X143,X144) )
=> ? [X146,X147,X148,X149] :
( subactivity_occurrence(X149,X145)
& occurrence_of(X149,X146)
& transmit_message(X146,X147,X148,X144,X143) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_53) ).
fof(c_0_29,plain,
! [X236,X237,X238] :
( X237 = X238
| ~ occurrence_of(X236,X238)
| ~ occurrence_of(X236,X237) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])]) ).
fof(c_0_30,plain,
! [X224] :
( ( ~ activity_occurrence(X224)
| occurrence_of(X224,esk7_1(X224)) )
& ( ~ activity_occurrence(X224)
| activity(esk7_1(X224)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_18])])])])]) ).
fof(c_0_31,plain,
! [X261,X262] :
( ( ~ occurrence_of(X262,X261)
| activity_occurrence(X262) )
& ( ~ occurrence_of(X262,X261)
| activity(X261) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])])]) ).
cnf(c_0_32,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_33,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_35,plain,
! [X191,X192,X194,X195,X196] :
( ( root_occ(X194,X195)
| ~ root(X194,X196)
| ~ subactivity_occurrence(X194,X195)
| ~ occurrence_of(X195,X196) )
& ( ~ root_occ(X191,X192)
| root(X191,esk2_2(X191,X192)) )
& ( ~ root_occ(X191,X192)
| subactivity_occurrence(X191,X192) )
& ( ~ root_occ(X191,X192)
| occurrence_of(X192,esk2_2(X191,X192)) ) ),
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_10])])])])])])]) ).
fof(c_0_36,plain,
! [X139,X140,X141] :
( tptp1(X139,X140,X141)
=> ( root(X141,X140)
& ~ atomic(X140)
& ~ atomic(X139)
& activity(X139) ) ),
inference(fof_simplification,[status(thm)],[sos_52]) ).
fof(c_0_37,negated_conjecture,
~ ~ ? [X152,X153,X154] :
( occurrence_of(X154,X152)
& tptp1(X152,tptp0,X153) ),
inference(assume_negation,[status(cth)],[goals]) ).
cnf(c_0_38,plain,
( ~ occurrence_of(X2,X1)
| X1 = esk7_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_39,plain,
( ~ root_occ(X2,X1)
| occurrence_of(X1,esk2_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_40,plain,
! [X242,X243,X244] :
( ( ~ min_precedes(X243,X244,X242)
| subactivity_occurrence(X244,esk9_3(X242,X243,X244)) )
& ( ~ min_precedes(X243,X244,X242)
| subactivity_occurrence(X243,esk9_3(X242,X243,X244)) )
& ( ~ min_precedes(X243,X244,X242)
| occurrence_of(esk9_3(X242,X243,X244),X242) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_24])])])])]) ).
fof(c_0_41,plain,
! [X310,X311,X312] :
( ( ~ tptp1(X310,X311,X312)
| root(X312,X311) )
& ( ~ tptp1(X310,X311,X312)
| ~ atomic(X311) )
& ( ~ tptp1(X310,X311,X312)
| ~ atomic(X310) )
& ( ~ tptp1(X310,X311,X312)
| activity(X310) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
fof(c_0_42,negated_conjecture,
( occurrence_of(esk25_0,esk23_0)
& tptp1(esk23_0,tptp0,esk24_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).
cnf(c_0_43,plain,
( ~ root_occ(X1,X2)
| root(X1,esk2_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( ~ root_occ(X1,X2)
| esk2_2(X1,X2) = esk7_1(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk9_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,plain,
( ~ tptp1(X3,X2,X1)
| root(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
tptp1(esk23_0,tptp0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,plain,
! [X267] :
( ( ~ occurrence_of(X267,tptp0)
| next_subocc(esk15_1(X267),esk16_1(X267),tptp0) )
& ( ~ occurrence_of(X267,tptp0)
| leaf_occ(esk16_1(X267),X267) )
& ( ~ occurrence_of(X267,tptp0)
| occurrence_of(esk16_1(X267),tptp2)
| occurrence_of(esk16_1(X267),tptp3) )
& ( ~ occurrence_of(X267,tptp0)
| root_occ(esk15_1(X267),X267) )
& ( ~ occurrence_of(X267,tptp0)
| occurrence_of(esk15_1(X267),tptp4) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_32])])])])]) ).
fof(c_0_49,plain,
! [X205,X206] :
( ( ~ occurrence_of(X205,X206)
| arboreal(X205)
| ~ atomic(X206) )
& ( ~ occurrence_of(X205,X206)
| atomic(X206)
| ~ arboreal(X205) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])])]) ).
fof(c_0_50,plain,
! [X92,X93] :
( ( ~ atomic(X92)
& occurrence_of(X93,X92) )
=> ? [X94] :
( subactivity_occurrence(X94,X93)
& root(X94,X92) ) ),
inference(fof_simplification,[status(thm)],[sos_30]) ).
cnf(c_0_51,plain,
( ~ root_occ(X1,X2)
| root(X1,esk7_1(X2)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,plain,
( ~ min_precedes(X2,X3,X1)
| esk7_1(esk9_3(X1,X2,X3)) = X1 ),
inference(spm,[status(thm)],[c_0_38,c_0_45]) ).
cnf(c_0_53,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_54,negated_conjecture,
root(esk24_0,tptp0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_55,plain,
! [X26,X27,X28] :
( min_precedes(X26,X27,X28)
=> ~ root(X27,X28) ),
inference(fof_simplification,[status(thm)],[sos_07]) ).
fof(c_0_56,plain,
! [X257,X258,X259,X260] :
( X259 = X260
| min_precedes(X260,X259,X257)
| min_precedes(X259,X260,X257)
| ~ subactivity_occurrence(X260,X258)
| ~ subactivity_occurrence(X259,X258)
| ~ arboreal(X260)
| ~ arboreal(X259)
| ~ occurrence_of(X258,X257) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])])]) ).
cnf(c_0_57,plain,
( ~ root_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_58,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk15_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk15_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
fof(c_0_62,plain,
! [X215,X216,X218,X219,X220] :
( ( atocc(X218,X219)
| ~ occurrence_of(X218,X220)
| ~ atomic(X220)
| ~ subactivity(X219,X220) )
& ( ~ atocc(X215,X216)
| occurrence_of(X215,esk6_2(X215,X216)) )
& ( ~ atocc(X215,X216)
| atomic(esk6_2(X215,X216)) )
& ( ~ atocc(X215,X216)
| subactivity(X216,esk6_2(X215,X216)) ) ),
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_15])])])])])])]) ).
fof(c_0_63,plain,
! [X162,X163,X164,X165] :
( X162 = X163
| ~ root_occ(X163,X164)
| ~ root_occ(X162,X164)
| ~ occurrence_of(X164,X165) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
fof(c_0_64,plain,
! [X263,X264] :
( ( atomic(X263)
| ~ occurrence_of(X264,X263)
| subactivity_occurrence(esk14_2(X263,X264),X264) )
& ( atomic(X263)
| ~ occurrence_of(X264,X263)
| root(esk14_2(X263,X264),X263) ) ),
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_50])])])])]) ).
fof(c_0_65,plain,
! [X197,X198,X200,X201,X202] :
( ( leaf_occ(X200,X201)
| ~ leaf(X200,X202)
| ~ subactivity_occurrence(X200,X201)
| ~ occurrence_of(X201,X202) )
& ( ~ leaf_occ(X197,X198)
| leaf(X197,esk3_2(X197,X198)) )
& ( ~ leaf_occ(X197,X198)
| subactivity_occurrence(X197,X198) )
& ( ~ leaf_occ(X197,X198)
| occurrence_of(X198,esk3_2(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_11])])])])])])]) ).
cnf(c_0_66,plain,
( ~ min_precedes(X3,X4,X2)
| ~ root_occ(X1,esk9_3(X2,X3,X4))
| root(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_67,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk24_0,X1)
| root_occ(esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_68,plain,
! [X184,X185,X186] :
( ~ root(X185,X186)
| ~ min_precedes(X184,X185,X186) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
cnf(c_0_69,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_56]) ).
cnf(c_0_70,plain,
( ~ occurrence_of(X1,tptp0)
| subactivity_occurrence(esk15_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_71,plain,
( ~ occurrence_of(X1,tptp0)
| arboreal(esk15_1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_72,plain,
( ~ atocc(X1,X2)
| occurrence_of(X1,esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_73,plain,
( ~ atocc(X1,X2)
| atomic(esk6_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_74,plain,
! [X249,X250,X251] :
( ( ~ min_precedes(X250,X251,X249)
| atocc(X251,esk12_3(X249,X250,X251)) )
& ( ~ min_precedes(X250,X251,X249)
| atocc(X250,esk11_3(X249,X250,X251)) )
& ( ~ min_precedes(X250,X251,X249)
| subactivity(esk12_3(X249,X250,X251),X249) )
& ( ~ min_precedes(X250,X251,X249)
| subactivity(esk11_3(X249,X250,X251),X249) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_26])])])])]) ).
cnf(c_0_75,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_76,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk14_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_77,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk3_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_78,negated_conjecture,
( ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk9_3(X1,X2,X3),tptp0)
| ~ subactivity_occurrence(esk24_0,esk9_3(X1,X2,X3))
| root(esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_79,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk9_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_80,plain,
( ~ root(X2,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_81,plain,
( ~ occurrence_of(X2,X3)
| ~ occurrence_of(X2,tptp0)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,X2)
| min_precedes(esk15_1(X2),X1,X3)
| min_precedes(X1,esk15_1(X2),X3)
| X1 = esk15_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_82,plain,
( ~ atocc(X1,X2)
| arboreal(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_72]),c_0_73]) ).
cnf(c_0_83,plain,
( ~ min_precedes(X1,X3,X2)
| atocc(X1,esk11_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,plain,
( ~ occurrence_of(X2,X3)
| ~ occurrence_of(X2,tptp0)
| ~ root_occ(X1,X2)
| X1 = esk15_1(X2) ),
inference(spm,[status(thm)],[c_0_75,c_0_58]) ).
cnf(c_0_85,plain,
( ~ occurrence_of(X2,X1)
| ~ occurrence_of(X3,X1)
| ~ subactivity_occurrence(esk14_2(X1,X2),X3)
| root_occ(esk14_2(X1,X2),X3)
| atomic(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_76]) ).
cnf(c_0_86,plain,
( ~ leaf_occ(X1,X2)
| esk3_2(X1,X2) = esk7_1(X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_77]) ).
fof(c_0_87,plain,
! [X75,X76] :
( ( ~ atomic(X76)
& leaf(X75,X76) )
=> ? [X77] :
( leaf_occ(X75,X77)
& occurrence_of(X77,X76) ) ),
inference(fof_simplification,[status(thm)],[sos_25]) ).
cnf(c_0_88,negated_conjecture,
( ~ min_precedes(X2,esk24_0,X1)
| ~ occurrence_of(esk9_3(X1,X2,esk24_0),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]) ).
cnf(c_0_89,plain,
( ~ min_precedes(X2,X3,tptp0)
| ~ occurrence_of(esk9_3(tptp0,X2,X3),X4)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk9_3(tptp0,X2,X3))
| min_precedes(X1,esk15_1(esk9_3(tptp0,X2,X3)),X4)
| min_precedes(esk15_1(esk9_3(tptp0,X2,X3)),X1,X4)
| X1 = esk15_1(esk9_3(tptp0,X2,X3)) ),
inference(spm,[status(thm)],[c_0_81,c_0_45]) ).
cnf(c_0_90,plain,
( ~ min_precedes(X1,X3,X2)
| subactivity_occurrence(X1,esk9_3(X2,X1,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_91,plain,
( ~ min_precedes(X1,X2,X3)
| arboreal(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
( ~ occurrence_of(X2,X1)
| ~ occurrence_of(X3,X1)
| ~ occurrence_of(X3,X4)
| ~ occurrence_of(X3,tptp0)
| ~ subactivity_occurrence(esk14_2(X1,X2),X3)
| atomic(X1)
| esk14_2(X1,X2) = esk15_1(X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk14_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_94,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk7_1(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_86]) ).
cnf(c_0_95,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk16_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_96,plain,
! [X246,X247] :
( ( atomic(X247)
| ~ leaf(X246,X247)
| leaf_occ(X246,esk10_2(X246,X247)) )
& ( atomic(X247)
| ~ leaf(X246,X247)
| occurrence_of(esk10_2(X246,X247),X247) ) ),
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_87])])])])]) ).
cnf(c_0_97,negated_conjecture,
~ min_precedes(X1,esk24_0,tptp0),
inference(spm,[status(thm)],[c_0_88,c_0_45]) ).
cnf(c_0_98,plain,
( ~ min_precedes(X1,X2,tptp0)
| ~ occurrence_of(esk9_3(tptp0,X1,X2),X3)
| min_precedes(esk15_1(esk9_3(tptp0,X1,X2)),X1,X3)
| min_precedes(X1,esk15_1(esk9_3(tptp0,X1,X2)),X3)
| esk15_1(esk9_3(tptp0,X1,X2)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_99,plain,
( ~ occurrence_of(X2,X1)
| ~ occurrence_of(X2,X3)
| ~ occurrence_of(X2,tptp0)
| atomic(X1)
| esk14_2(X1,X2) = esk15_1(X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_100,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(X1,esk7_1(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
fof(c_0_101,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_102,plain,
! [X12,X13,X14,X15] :
( ( leaf_occ(X13,X14)
& leaf_occ(X12,X14)
& ~ atomic(X15)
& occurrence_of(X14,X15) )
=> X12 = X13 ),
inference(fof_simplification,[status(thm)],[sos_03]) ).
cnf(c_0_103,plain,
( ~ occurrence_of(X2,X1)
| ~ atocc(X2,X3)
| X1 = esk6_2(X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_72]) ).
cnf(c_0_104,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| occurrence_of(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_105,plain,
! [X266] :
( subactivity(X266,X266)
| ~ activity(X266) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_31])])]) ).
cnf(c_0_106,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| min_precedes(esk24_0,esk15_1(esk9_3(tptp0,esk24_0,X1)),tptp0)
| esk15_1(esk9_3(tptp0,esk24_0,X1)) = esk24_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_45]) ).
cnf(c_0_107,plain,
( ~ occurrence_of(X2,X1)
| ~ occurrence_of(X2,tptp0)
| atomic(X1)
| esk14_2(X1,X2) = esk15_1(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
fof(c_0_108,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_101]) ).
cnf(c_0_109,plain,
( ~ min_precedes(X3,X1,X2)
| atocc(X1,esk12_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
fof(c_0_110,plain,
! [X178,X179,X180] :
( ( ~ next_subocc(X178,X179,X180)
| arboreal(X179) )
& ( ~ next_subocc(X178,X179,X180)
| arboreal(X178) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_05])])])]) ).
fof(c_0_111,plain,
! [X166,X167,X168,X169] :
( X166 = X167
| ~ leaf_occ(X167,X168)
| ~ leaf_occ(X166,X168)
| atomic(X169)
| ~ occurrence_of(X168,X169) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])]) ).
cnf(c_0_112,plain,
( ~ leaf(X1,X2)
| ~ atocc(esk10_2(X1,X2),X3)
| atomic(X2)
| esk6_2(esk10_2(X1,X2),X3) = X2 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_113,plain,
( ~ occurrence_of(X3,X2)
| ~ atomic(X2)
| ~ subactivity(X1,X2)
| atocc(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_114,plain,
( ~ activity(X1)
| subactivity(X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_115,plain,
( ~ occurrence_of(X2,X1)
| activity(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_116,plain,
! [X170,X171,X172,X173,X174,X175,X176] :
( ( next_subocc(X174,X175,X176)
| ~ min_precedes(X174,X175,X176)
| min_precedes(esk1_3(X174,X175,X176),X175,X176) )
& ( next_subocc(X174,X175,X176)
| ~ min_precedes(X174,X175,X176)
| min_precedes(X174,esk1_3(X174,X175,X176),X176) )
& ( ~ next_subocc(X170,X171,X172)
| ~ min_precedes(X173,X171,X172)
| ~ min_precedes(X170,X173,X172) )
& ( ~ next_subocc(X170,X171,X172)
| min_precedes(X170,X171,X172) ) ),
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_04])])])])])])]) ).
cnf(c_0_117,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| ~ root(esk15_1(esk9_3(tptp0,esk24_0,X1)),tptp0)
| esk15_1(esk9_3(tptp0,esk24_0,X1)) = esk24_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_106]) ).
cnf(c_0_118,plain,
( ~ occurrence_of(X1,X2)
| ~ occurrence_of(X1,tptp0)
| atomic(X2)
| root(esk15_1(X1),X2) ),
inference(spm,[status(thm)],[c_0_76,c_0_107]) ).
cnf(c_0_119,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_120,plain,
( ~ min_precedes(X2,X1,X3)
| arboreal(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_109]) ).
cnf(c_0_121,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_122,plain,
( ~ next_subocc(X2,X1,X3)
| arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_123,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk15_1(X1),esk16_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_124,plain,
( ~ leaf_occ(X4,X1)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_125,plain,
( ~ leaf(X2,X1)
| ~ atocc(esk10_2(X2,X1),X3)
| atomic(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_112]) ).
cnf(c_0_126,plain,
( ~ occurrence_of(X1,X2)
| ~ atomic(X2)
| atocc(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
fof(c_0_127,plain,
! [X207,X208,X210,X211,X212,X213] :
( ( leaf(X211,X212)
| min_precedes(X211,esk5_2(X211,X212),X212)
| ~ min_precedes(X213,X211,X212) )
& ( leaf(X211,X212)
| min_precedes(X211,esk5_2(X211,X212),X212)
| ~ root(X211,X212) )
& ( ~ leaf(X207,X208)
| ~ min_precedes(X207,X210,X208) )
& ( ~ leaf(X207,X208)
| min_precedes(esk4_2(X207,X208),X207,X208)
| root(X207,X208) ) ),
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_14])])])])])])]) ).
cnf(c_0_128,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_129,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| esk15_1(esk9_3(tptp0,esk24_0,X1)) = esk24_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),c_0_45]) ).
cnf(c_0_130,plain,
( ~ min_precedes(X5,X2,X4)
| ~ occurrence_of(esk9_3(X4,X5,X2),X3)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk9_3(X4,X5,X2))
| min_precedes(X2,X1,X3)
| min_precedes(X1,X2,X3)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_120]) ).
cnf(c_0_131,plain,
( ~ occurrence_of(X1,tptp0)
| subactivity_occurrence(esk16_1(X1),X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_95]) ).
cnf(c_0_132,plain,
( ~ occurrence_of(X1,tptp0)
| arboreal(esk16_1(X1)) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_133,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_134,plain,
( ~ occurrence_of(X2,X3)
| ~ occurrence_of(X2,tptp0)
| ~ leaf_occ(X1,X2)
| atomic(X3)
| X1 = esk16_1(X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_95]) ).
cnf(c_0_135,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| leaf_occ(X1,esk10_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_136,plain,
( ~ occurrence_of(esk10_2(X2,X1),X3)
| ~ atomic(X3)
| ~ leaf(X2,X1)
| atomic(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
fof(c_0_137,plain,
! [X232,X233,X234,X235] :
( ~ min_precedes(X233,X235,X234)
| ~ leaf_occ(X233,X232)
| ~ occurrence_of(X232,X234) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_21])])])]) ).
cnf(c_0_138,plain,
( ~ min_precedes(X1,X2,X3)
| leaf(X2,X3)
| min_precedes(X2,esk5_2(X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_139,plain,
( ~ occurrence_of(X1,tptp0)
| min_precedes(esk15_1(X1),esk16_1(X1),tptp0) ),
inference(spm,[status(thm)],[c_0_128,c_0_123]) ).
cnf(c_0_140,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_141,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| next_subocc(esk24_0,esk16_1(esk9_3(tptp0,esk24_0,X1)),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_129]),c_0_45]) ).
cnf(c_0_142,plain,
( ~ leaf(X1,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_143,plain,
( ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk9_3(X1,X2,X3),X4)
| ~ occurrence_of(esk9_3(X1,X2,X3),tptp0)
| min_precedes(esk16_1(esk9_3(X1,X2,X3)),X3,X4)
| min_precedes(X3,esk16_1(esk9_3(X1,X2,X3)),X4)
| esk16_1(esk9_3(X1,X2,X3)) = X3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_144,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk7_1(X2)) ),
inference(spm,[status(thm)],[c_0_133,c_0_86]) ).
cnf(c_0_145,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk16_1(X1),tptp2)
| occurrence_of(esk16_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_146,plain,
( ~ occurrence_of(esk10_2(X1,X2),X3)
| ~ occurrence_of(esk10_2(X1,X2),tptp0)
| ~ leaf(X1,X2)
| atomic(X2)
| esk16_1(esk10_2(X1,X2)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_147,plain,
( ~ leaf(X2,X1)
| occurrence_of(esk10_2(X2,X1),esk7_1(esk10_2(X2,X1)))
| atomic(X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_135]) ).
fof(c_0_148,plain,
! [X104,X105,X106,X107,X108] :
( send_message(X104,X105,X106,X107,X108)
=> ( X104 != tptp2
& X104 != tptp3
& X104 != tptp4 ) ),
inference(fof_simplification,[status(thm)],[sos_46]) ).
cnf(c_0_149,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_150,plain,
( ~ occurrence_of(X1,tptp0)
| min_precedes(esk16_1(X1),esk5_2(esk16_1(X1),tptp0),tptp0)
| leaf(esk16_1(X1),tptp0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_151,negated_conjecture,
( ~ min_precedes(esk24_0,X2,tptp0)
| ~ min_precedes(esk24_0,X1,tptp0)
| ~ min_precedes(X1,esk16_1(esk9_3(tptp0,esk24_0,X2)),tptp0) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_152,plain,
( ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk9_3(X1,X2,X3),X4)
| ~ occurrence_of(esk9_3(X1,X2,X3),tptp0)
| ~ leaf(esk16_1(esk9_3(X1,X2,X3)),X4)
| min_precedes(X3,esk16_1(esk9_3(X1,X2,X3)),X4)
| esk16_1(esk9_3(X1,X2,X3)) = X3 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_153,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X1,esk9_3(X2,X3,X4))
| leaf(X1,X2) ),
inference(spm,[status(thm)],[c_0_144,c_0_52]) ).
fof(c_0_154,plain,
! [X280,X281,X282,X283,X284,X285] :
( min_precedes(X283,X285,X284)
| ~ occurrence_of(X285,X280)
| ~ send_message(X280,X281,X282,X283,X284) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_47])])]) ).
fof(c_0_155,plain,
! [X302,X303,X304,X305,X306,X307] :
( ( ~ occurrence_of(X307,X302)
| ~ transmit_message(X302,X303,X304,X305,X306)
| root_occ(esk18_6(X302,X303,X304,X305,X306,X307),X307) )
& ( ~ occurrence_of(X307,X302)
| ~ transmit_message(X302,X303,X304,X305,X306)
| occurrence_of(esk18_6(X302,X303,X304,X305,X306,X307),esk17_6(X302,X303,X304,X305,X306,X307)) )
& ( ~ occurrence_of(X307,X302)
| ~ transmit_message(X302,X303,X304,X305,X306)
| send_message(esk17_6(X302,X303,X304,X305,X306,X307),X303,X304,X305,X306) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_51])])])])]) ).
cnf(c_0_156,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk16_1(X1),tptp3)
| esk7_1(esk16_1(X1)) = tptp2 ),
inference(spm,[status(thm)],[c_0_38,c_0_145]) ).
cnf(c_0_157,plain,
( ~ occurrence_of(esk10_2(X1,X2),tptp0)
| ~ leaf(X1,X2)
| atomic(X2)
| esk16_1(esk10_2(X1,X2)) = X1 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
fof(c_0_158,plain,
! [X275,X276,X277,X278,X279] :
( ( ~ send_message(X275,X276,X277,X278,X279)
| X275 != tptp2 )
& ( ~ send_message(X275,X276,X277,X278,X279)
| X275 != tptp3 )
& ( ~ send_message(X275,X276,X277,X278,X279)
| X275 != tptp4 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])])])]) ).
cnf(c_0_159,plain,
( ~ occurrence_of(X1,tptp0)
| ~ occurrence_of(X2,tptp0)
| ~ leaf_occ(esk16_1(X1),X2)
| leaf(esk16_1(X1),tptp0) ),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_160,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| ~ leaf(esk16_1(esk9_3(tptp0,esk24_0,X1)),tptp0)
| esk16_1(esk9_3(tptp0,esk24_0,X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_45]) ).
cnf(c_0_161,plain,
( ~ min_precedes(X2,X3,X1)
| ~ occurrence_of(esk9_3(X1,X2,X3),tptp0)
| leaf(esk16_1(esk9_3(X1,X2,X3)),X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_95]) ).
cnf(c_0_162,plain,
( ~ occurrence_of(X6,X1)
| ~ send_message(X1,X2,X3,X4,X5)
| min_precedes(X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_163,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| send_message(esk17_6(X1,X2,X3,X4,X5,X6),X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_164,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| occurrence_of(esk18_6(X1,X2,X3,X4,X5,X6),esk17_6(X1,X2,X3,X4,X5,X6)) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_165,plain,
( ~ occurrence_of(esk10_2(X1,X2),tptp0)
| ~ leaf(X1,X2)
| occurrence_of(X1,tptp3)
| atomic(X2)
| esk7_1(X1) = tptp2 ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_166,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp2 ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_167,plain,
( ~ occurrence_of(X1,tptp0)
| leaf(esk16_1(X1),tptp0) ),
inference(spm,[status(thm)],[c_0_159,c_0_95]) ).
cnf(c_0_168,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| esk16_1(esk9_3(tptp0,esk24_0,X1)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_45]) ).
cnf(c_0_169,plain,
( ~ occurrence_of(X7,X4)
| ~ occurrence_of(X2,esk17_6(X4,X5,X6,X1,X3,X7))
| ~ transmit_message(X4,X5,X6,X1,X3)
| min_precedes(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_170,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| esk7_1(esk18_6(X1,X2,X3,X4,X5,X6)) = esk17_6(X1,X2,X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_38,c_0_164]) ).
cnf(c_0_171,plain,
( ~ leaf(X1,tptp0)
| occurrence_of(X1,tptp3)
| esk7_1(X1) = tptp2 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_104]),c_0_119]) ).
cnf(c_0_172,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| esk17_6(X1,X2,X3,X4,X5,X6) != tptp2 ),
inference(spm,[status(thm)],[c_0_166,c_0_163]) ).
cnf(c_0_173,negated_conjecture,
( ~ min_precedes(esk24_0,X1,tptp0)
| leaf(X1,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_45]) ).
cnf(c_0_174,plain,
( ~ occurrence_of(X6,X2)
| ~ transmit_message(X2,X3,X4,X1,X5)
| min_precedes(X1,esk18_6(X2,X3,X4,X1,X5,X6),X5) ),
inference(spm,[status(thm)],[c_0_169,c_0_164]) ).
cnf(c_0_175,plain,
( ~ occurrence_of(X6,X1)
| ~ leaf(esk18_6(X1,X2,X3,X4,X5,X6),tptp0)
| ~ transmit_message(X1,X2,X3,X4,X5)
| occurrence_of(esk18_6(X1,X2,X3,X4,X5,X6),tptp3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]) ).
cnf(c_0_176,negated_conjecture,
( ~ occurrence_of(X4,X1)
| ~ transmit_message(X1,X2,X3,esk24_0,tptp0)
| leaf(esk18_6(X1,X2,X3,esk24_0,tptp0,X4),tptp0) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_177,plain,
( ~ send_message(X1,X2,X3,X4,X5)
| X1 != tptp3 ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_178,plain,
( ~ occurrence_of(X7,X2)
| ~ occurrence_of(esk18_6(X2,X3,X4,X5,X6,X7),X1)
| ~ transmit_message(X2,X3,X4,X5,X6)
| X1 = esk17_6(X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_32,c_0_164]) ).
cnf(c_0_179,negated_conjecture,
( ~ occurrence_of(X4,X1)
| ~ transmit_message(X1,X2,X3,esk24_0,tptp0)
| occurrence_of(esk18_6(X1,X2,X3,esk24_0,tptp0,X4),tptp3) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_180,plain,
( ~ occurrence_of(X6,X1)
| ~ transmit_message(X1,X2,X3,X4,X5)
| esk17_6(X1,X2,X3,X4,X5,X6) != tptp3 ),
inference(spm,[status(thm)],[c_0_177,c_0_163]) ).
fof(c_0_181,plain,
! [X313,X314,X315,X316] :
( ( ~ occurrence_of(X316,X313)
| ~ tptp1(X313,X314,X315)
| subactivity_occurrence(esk22_4(X313,X314,X315,X316),X316) )
& ( ~ occurrence_of(X316,X313)
| ~ tptp1(X313,X314,X315)
| occurrence_of(esk22_4(X313,X314,X315,X316),esk19_4(X313,X314,X315,X316)) )
& ( ~ occurrence_of(X316,X313)
| ~ tptp1(X313,X314,X315)
| transmit_message(esk19_4(X313,X314,X315,X316),esk20_4(X313,X314,X315,X316),esk21_4(X313,X314,X315,X316),X315,X314) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_53])])])])]) ).
cnf(c_0_182,negated_conjecture,
( ~ occurrence_of(X4,X1)
| ~ transmit_message(X1,X2,X3,esk24_0,tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).
cnf(c_0_183,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| transmit_message(esk19_4(X1,X2,X3,X4),esk20_4(X1,X2,X3,X4),esk21_4(X1,X2,X3,X4),X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_184,negated_conjecture,
( ~ occurrence_of(X3,X1)
| ~ occurrence_of(X2,esk19_4(X1,tptp0,esk24_0,X3))
| ~ tptp1(X1,tptp0,esk24_0) ),
inference(spm,[status(thm)],[c_0_182,c_0_183]) ).
cnf(c_0_185,plain,
( ~ occurrence_of(X4,X1)
| ~ tptp1(X1,X2,X3)
| occurrence_of(esk22_4(X1,X2,X3,X4),esk19_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_186,negated_conjecture,
( ~ occurrence_of(X2,X1)
| ~ tptp1(X1,tptp0,esk24_0) ),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_187,negated_conjecture,
occurrence_of(esk25_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_188,negated_conjecture,
~ occurrence_of(X1,esk23_0),
inference(spm,[status(thm)],[c_0_186,c_0_47]) ).
cnf(c_0_189,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_187,c_0_188]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO001+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.59 % Computer : n019.cluster.edu
% 0.11/5.59 % Model : x86_64 x86_64
% 0.11/5.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.59 % Memory : 8046.5625MB
% 0.11/5.59 % OS : Linux 6.8.0-71-generic
% 0.11/5.59 % CPULimit : 300
% 0.11/5.59 % WCLimit : 300
% 0.11/5.59 % DateTime : Mon Sep 21 03:40:12 UTC 2026
% 0.11/5.59 % CPUTime :
% 0.11/5.59 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.63 Running first-order theorem proving
% 0.15/5.63 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
% 155.16/28.62 % Version: 3.5.1
% 155.16/28.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 155.16/28.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 155.16/28.62 % Starting new_bool_3 with 300s (1) cores
% 155.16/28.62 % Starting new_bool_1 with 300s (1) cores
% 155.16/28.62 % Starting sh5l with 300s (1) cores
% 155.16/28.62 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1607686 completed with status 0
% 155.16/28.62 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 155.16/28.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 155.16/28.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 155.16/28.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 155.16/28.62 % No SInE strategy applied
% 155.16/28.62 % Search class: FGHSF-FFMM32-SFFFFFNN
% 155.16/28.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 155.16/28.62 % Starting SubtermCWHack with 136s (1) cores
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 155.16/28.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 155.16/28.62 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 155.16/28.62 % G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 1607697 completed with status 0
% 155.16/28.62 % Result found by G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 155.16/28.62 % Preprocessing class: FSLSSMSSSSSNFFN.
% 155.16/28.62 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 155.16/28.62 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 155.16/28.62 % No SInE strategy applied
% 155.16/28.62 % Search class: FGHSF-FFMM32-SFFFFFNN
% 155.16/28.62 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 155.16/28.62 % Starting SubtermCWHack with 136s (1) cores
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 155.16/28.62 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2SI with 136s (1) cores
% 155.16/28.62 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 155.16/28.62 % Starting G-E--_107_C48_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 155.16/28.62 % Preprocessing time : 0.003 s
% 155.16/28.62 % Presaturation interreduction done
% 155.16/28.62
% 155.16/28.62 % Proof found!
% 155.16/28.62 % SZS status Theorem
% 155.16/28.62 % SZS output start CNFRefutation
% See solution above
% 155.16/28.62 % Parsed axioms : 56
% 155.16/28.62 % Removed by relevancy pruning/SinE : 0
% 155.16/28.62 % Initial clauses : 107
% 155.16/28.62 % Removed in clause preprocessing : 0
% 155.16/28.62 % Initial clauses in saturation : 107
% 155.16/28.62 % Processed clauses : 47260
% 155.16/28.62 % ...of these trivial : 9
% 155.16/28.62 % ...subsumed : 35480
% 155.16/28.62 % ...remaining for further processing : 11771
% 155.16/28.62 % Other redundant clauses eliminated : 0
% 155.16/28.62 % Clauses deleted for lack of memory : 0
% 155.16/28.62 % Backward-subsumed : 4140
% 155.16/28.62 % Backward-rewritten : 1191
% 155.16/28.62 % Generated clauses : 250348
% 155.16/28.62 % ...of the previous two non-redundant : 236057
% 155.16/28.62 % ...aggressively subsumed : 0
% 155.16/28.62 % Contextual simplify-reflections : 988
% 155.16/28.62 % Paramodulations : 250131
% 155.16/28.62 % Factorizations : 0
% 155.16/28.62 % NegExts : 0
% 155.16/28.62 % Equation resolutions : 0
% 155.16/28.62 % Disequality decompositions : 0
% 155.16/28.62 % Total rewrite steps : 26206
% 155.16/28.62 % ...of those cached : 26169
% 155.16/28.62 % Propositional unsat checks : 0
% 155.16/28.62 % Propositional check models : 0
% 155.16/28.62 % Propositional check unsatisfiable : 0
% 155.16/28.62 % Propositional clauses : 0
% 155.16/28.62 % Propositional clauses after purity: 0
% 155.16/28.62 % Propositional unsat core size : 0
% 155.16/28.62 % Propositional preprocessing time : 0.000
% 155.16/28.62 % Propositional encoding time : 0.000
% 155.16/28.62 % Propositional solver time : 0.000
% 155.16/28.62 % Success case prop preproc time : 0.000
% 155.16/28.62 % Success case prop encoding time : 0.000
% 155.16/28.62 % Success case prop solver time : 0.000
% 155.16/28.62 % Current number of processed clauses : 6208
% 155.16/28.62 % Positive orientable unit clauses : 35
% 155.16/28.62 % Positive unorientable unit clauses: 0
% 155.16/28.62 % Negative unit clauses : 38
% 155.16/28.62 % Non-unit-clauses : 6135
% 155.16/28.62 % Current number of unprocessed clauses: 180617
% 155.16/28.62 % ...number of literals in the above : 1427238
% 155.16/28.62 % Current number of archived formulas : 0
% 155.16/28.62 % Current number of archived clauses : 5439
% 155.16/28.62 % Clause-clause subsumption calls (NU) : 26343725
% 155.16/28.62 % Rec. Clause-clause subsumption calls : 1421612
% 155.16/28.62 % Non-unit clause-clause subsumptions : 36409
% 155.16/28.62 % Unit Clause-clause subsumption calls : 71290
% 155.16/28.62 % Rewrite failures with RHS unbound : 0
% 155.16/28.62 % BW rewrite match attempts : 25
% 155.16/28.62 % BW rewrite match successes : 15
% 155.16/28.62 % Condensation attempts : 0
% 155.16/28.62 % Condensation successes : 0
% 155.16/28.62 % Termbank termtop insertions : 5665330
% 155.16/28.62 % Search garbage collected termcells : 1479
% 155.16/28.62
% 155.16/28.62 % -------------------------------------------------
% 155.16/28.62 % User time : 21.495 s
% 155.16/28.62 % System time : 0.224 s
% 155.16/28.62 % Total time : 21.719 s
% 155.16/28.62 % Maximum resident set size: 3732 pages
% 155.16/28.62
% 155.16/28.62 % -------------------------------------------------
% 155.16/28.62 % User time : 109.650 s
% 155.16/28.62 % System time : 1.078 s
% 155.16/28.62 % Total time : 110.729 s
% 155.16/28.62 % Maximum resident set size: 4608 pages
% 155.16/28.62 % E exiting
%------------------------------------------------------------------------------