%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO008+4 : 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 : n005.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 01:59:31 PM UTC 2026
% Result : Theorem 8.42s 1.83s
% Output : CNFRefutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of formulae : 225 ( 78 unt; 0 def)
% Number of atoms : 868 ( 68 equ)
% Maximal formula atoms : 225 ( 3 avg)
% Number of connectives : 1059 ( 416 ~; 500 |; 116 &)
% ( 4 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 270 ( 14 sgn 113 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( ( occurrence_of(X108,tptp2)
=> ~ ? [X110] :
( min_precedes(X107,X110,tptp0)
& subactivity_occurrence(X110,X106)
& occurrence_of(X110,tptp1) ) )
& ( occurrence_of(X108,tptp1)
=> ~ ? [X109] :
( min_precedes(X107,X109,tptp0)
& subactivity_occurrence(X109,X106)
& occurrence_of(X109,tptp2) ) )
& leaf_occ(X108,X106)
& min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp1) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(sos_32,axiom,
! [X102] :
( occurrence_of(X102,tptp0)
=> ? [X103,X104,X105] :
( leaf_occ(X105,X102)
& next_subocc(X104,X105,tptp0)
& ( occurrence_of(X105,tptp2)
| occurrence_of(X105,tptp1) )
& next_subocc(X103,X104,tptp0)
& occurrence_of(X104,tptp4)
& root_occ(X103,X102)
& occurrence_of(X103,tptp3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_32) ).
fof(sos_08,axiom,
! [X29,X30,X31] :
( ( occurrence_of(X29,X31)
& occurrence_of(X29,X30) )
=> X30 = X31 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(sos_18,axiom,
! [X56,X57] :
( leaf_occ(X56,X57)
<=> ? [X58] :
( leaf(X56,X58)
& subactivity_occurrence(X56,X57)
& occurrence_of(X57,X58) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_18) ).
fof(sos,axiom,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos) ).
fof(sos_34,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_34) ).
fof(sos_07,axiom,
! [X26,X27] :
( ( ~ atomic(X27)
& leaf(X26,X27) )
=> ? [X28] :
( leaf_occ(X26,X28)
& occurrence_of(X28,X27) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(sos_19,axiom,
! [X59,X60] :
( root_occ(X59,X60)
<=> ? [X61] :
( root(X59,X61)
& subactivity_occurrence(X59,X60)
& occurrence_of(X60,X61) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_19) ).
fof(sos_29,axiom,
! [X91,X92,X93,X94] :
( ( root_occ(X92,X93)
& root_occ(X91,X93)
& occurrence_of(X93,X94) )
=> X91 = X92 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_29) ).
fof(sos_27,axiom,
! [X83,X84,X85,X86] :
( ( subactivity_occurrence(X84,X86)
& occurrence_of(X86,X85)
& min_precedes(X83,X84,X85) )
=> subactivity_occurrence(X83,X86) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_27) ).
fof(sos_26,axiom,
! [X79,X80,X81] :
( next_subocc(X79,X80,X81)
<=> ( ~ ? [X82] :
( min_precedes(X82,X80,X81)
& min_precedes(X79,X82,X81) )
& min_precedes(X79,X80,X81) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_26) ).
fof(sos_03,axiom,
! [X13,X14] :
( occurrence_of(X14,X13)
=> ( activity_occurrence(X14)
& activity(X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(sos_12,axiom,
! [X42] :
( activity_occurrence(X42)
=> ? [X43] :
( occurrence_of(X42,X43)
& activity(X43) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(sos_23,axiom,
! [X69,X70,X71] :
( min_precedes(X69,X70,X71)
=> ? [X72] :
( min_precedes(X72,X70,X71)
& root(X72,X71) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_23) ).
fof(sos_02,axiom,
! [X9,X10,X11,X12] :
( ( ~ min_precedes(X11,X12,X9)
& arboreal(X11)
& leaf_occ(X12,X10)
& subactivity_occurrence(X11,X10)
& occurrence_of(X10,X9) )
=> X12 = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(sos_25,axiom,
! [X76,X77,X78] :
( next_subocc(X76,X77,X78)
=> ( arboreal(X77)
& arboreal(X76) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_25) ).
fof(sos_09,axiom,
! [X32,X33,X34] :
( ( leaf_occ(X33,X32)
& occurrence_of(X32,X34) )
=> ~ ? [X35] : min_precedes(X33,X35,X34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(sos_16,axiom,
! [X52,X53] :
( occurrence_of(X52,X53)
=> ( arboreal(X52)
<=> atomic(X53) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_16) ).
fof(sos_04,axiom,
! [X15,X16,X17,X18] :
( ( subactivity_occurrence(X18,X16)
& subactivity_occurrence(X17,X16)
& arboreal(X18)
& arboreal(X17)
& occurrence_of(X16,X15) )
=> ( X17 = X18
| min_precedes(X18,X17,X15)
| min_precedes(X17,X18,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(sos_35,axiom,
atomic(tptp4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_35) ).
fof(sos_37,axiom,
atomic(tptp2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_37) ).
fof(sos_36,axiom,
atomic(tptp1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_36) ).
fof(sos_40,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_40) ).
fof(sos_41,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_41) ).
fof(sos_44,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_44) ).
fof(c_0_25,negated_conjecture,
~ ! [X106] :
( occurrence_of(X106,tptp0)
=> ? [X107,X108] :
( ( occurrence_of(X108,tptp2)
=> ~ ? [X110] :
( min_precedes(X107,X110,tptp0)
& subactivity_occurrence(X110,X106)
& occurrence_of(X110,tptp1) ) )
& ( occurrence_of(X108,tptp1)
=> ~ ? [X109] :
( min_precedes(X107,X109,tptp0)
& subactivity_occurrence(X109,X106)
& occurrence_of(X109,tptp2) ) )
& leaf_occ(X108,X106)
& min_precedes(X107,X108,tptp0)
& ( occurrence_of(X108,tptp2)
| occurrence_of(X108,tptp1) )
& root_occ(X107,X106)
& occurrence_of(X107,tptp3) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_26,plain,
! [X229] :
( ( ~ occurrence_of(X229,tptp0)
| leaf_occ(esk15_1(X229),X229) )
& ( ~ occurrence_of(X229,tptp0)
| next_subocc(esk14_1(X229),esk15_1(X229),tptp0) )
& ( ~ occurrence_of(X229,tptp0)
| occurrence_of(esk15_1(X229),tptp2)
| occurrence_of(esk15_1(X229),tptp1) )
& ( ~ occurrence_of(X229,tptp0)
| next_subocc(esk13_1(X229),esk14_1(X229),tptp0) )
& ( ~ occurrence_of(X229,tptp0)
| occurrence_of(esk14_1(X229),tptp4) )
& ( ~ occurrence_of(X229,tptp0)
| root_occ(esk13_1(X229),X229) )
& ( ~ occurrence_of(X229,tptp0)
| occurrence_of(esk13_1(X229),tptp3) ) ),
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_27,negated_conjecture,
! [X234,X235] :
( ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(esk17_2(X234,X235),tptp2)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(esk17_2(X234,X235),tptp2)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(esk17_2(X234,X235),tptp2)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(esk17_2(X234,X235),tptp2)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(X235,tptp1)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(X235,tptp1)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(X235,tptp1)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp2)
| occurrence_of(X235,tptp1)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| min_precedes(X234,esk17_2(X234,X235),tptp0)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| subactivity_occurrence(esk17_2(X234,X235),esk16_0)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(esk17_2(X234,X235),tptp2)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(esk17_2(X234,X235),tptp2)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(esk17_2(X234,X235),tptp2)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(esk17_2(X234,X235),tptp2)
| occurrence_of(X235,tptp2) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(X235,tptp1)
| min_precedes(X234,esk18_2(X234,X235),tptp0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(X235,tptp1)
| subactivity_occurrence(esk18_2(X234,X235),esk16_0) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(X235,tptp1)
| occurrence_of(esk18_2(X234,X235),tptp1) )
& ( ~ leaf_occ(X235,esk16_0)
| ~ min_precedes(X234,X235,tptp0)
| ~ root_occ(X234,esk16_0)
| ~ occurrence_of(X234,tptp3)
| ~ occurrence_of(X235,tptp1)
| occurrence_of(X235,tptp1)
| occurrence_of(X235,tptp2) )
& occurrence_of(esk16_0,tptp0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])]) ).
fof(c_0_28,plain,
! [X139,X140,X141] :
( X140 = X141
| ~ occurrence_of(X139,X141)
| ~ occurrence_of(X139,X140) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_08])])]) ).
fof(c_0_29,plain,
! [X173,X174,X176,X177,X178] :
( ( leaf_occ(X176,X177)
| ~ leaf(X176,X178)
| ~ subactivity_occurrence(X176,X177)
| ~ occurrence_of(X177,X178) )
& ( ~ leaf_occ(X173,X174)
| leaf(X173,esk9_2(X173,X174)) )
& ( ~ leaf_occ(X173,X174)
| subactivity_occurrence(X173,X174) )
& ( ~ leaf_occ(X173,X174)
| occurrence_of(X174,esk9_2(X173,X174)) ) ),
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_18])])])])])])]) ).
cnf(c_0_30,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk15_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
occurrence_of(esk16_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk9_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
leaf_occ(esk15_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_35,plain,
! [X1,X2] :
( ( ~ atomic(X1)
& occurrence_of(X2,X1) )
=> ? [X3] :
( subactivity_occurrence(X3,X2)
& root(X3,X1) ) ),
inference(fof_simplification,[status(thm)],[sos]) ).
fof(c_0_36,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_34]) ).
fof(c_0_37,plain,
! [X26,X27] :
( ( ~ atomic(X27)
& leaf(X26,X27) )
=> ? [X28] :
( leaf_occ(X26,X28)
& occurrence_of(X28,X27) ) ),
inference(fof_simplification,[status(thm)],[sos_07]) ).
cnf(c_0_38,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
occurrence_of(esk16_0,esk9_2(esk15_1(esk16_0),esk16_0)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_40,plain,
! [X111,X112] :
( ( atomic(X111)
| ~ occurrence_of(X112,X111)
| subactivity_occurrence(esk1_2(X111,X112),X112) )
& ( atomic(X111)
| ~ occurrence_of(X112,X111)
| root(esk1_2(X111,X112),X111) ) ),
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_35])])])])]) ).
fof(c_0_41,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_36]) ).
fof(c_0_42,plain,
! [X136,X137] :
( ( atomic(X137)
| ~ leaf(X136,X137)
| leaf_occ(X136,esk4_2(X136,X137)) )
& ( atomic(X137)
| ~ leaf(X136,X137)
| occurrence_of(esk4_2(X136,X137),X137) ) ),
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_37])])])])]) ).
cnf(c_0_43,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44,negated_conjecture,
esk9_2(esk15_1(esk16_0),esk16_0) = tptp0,
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_45,plain,
! [X179,X180,X182,X183,X184] :
( ( root_occ(X182,X183)
| ~ root(X182,X184)
| ~ subactivity_occurrence(X182,X183)
| ~ occurrence_of(X183,X184) )
& ( ~ root_occ(X179,X180)
| root(X179,esk10_2(X179,X180)) )
& ( ~ root_occ(X179,X180)
| subactivity_occurrence(X179,X180) )
& ( ~ root_occ(X179,X180)
| occurrence_of(X180,esk10_2(X179,X180)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_19])])])])])])]) ).
cnf(c_0_46,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_47,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| leaf_occ(X1,esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
leaf(esk15_1(esk16_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_34]),c_0_44]) ).
fof(c_0_50,plain,
! [X218,X219,X220,X221] :
( X218 = X219
| ~ root_occ(X219,X220)
| ~ root_occ(X218,X220)
| ~ occurrence_of(X220,X221) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_51,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk13_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_52,plain,
( ~ root(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| root_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,negated_conjecture,
root(esk1_2(tptp0,esk16_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_31]),c_0_47]) ).
cnf(c_0_54,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_55,plain,
! [X210,X211,X212,X213] :
( subactivity_occurrence(X210,X213)
| ~ subactivity_occurrence(X211,X213)
| ~ occurrence_of(X213,X212)
| ~ min_precedes(X210,X211,X212) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_27])])]) ).
cnf(c_0_56,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_57,negated_conjecture,
leaf_occ(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_47]) ).
fof(c_0_58,plain,
! [X202,X203,X204,X205,X206,X207,X208] :
( ( next_subocc(X206,X207,X208)
| ~ min_precedes(X206,X207,X208)
| min_precedes(esk12_3(X206,X207,X208),X207,X208) )
& ( next_subocc(X206,X207,X208)
| ~ min_precedes(X206,X207,X208)
| min_precedes(X206,esk12_3(X206,X207,X208),X208) )
& ( ~ next_subocc(X202,X203,X204)
| ~ min_precedes(X205,X203,X204)
| ~ min_precedes(X202,X205,X204) )
& ( ~ next_subocc(X202,X203,X204)
| min_precedes(X202,X203,X204) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_26])])])])])])]) ).
cnf(c_0_59,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk14_1(X1),esk15_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_60,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_61,negated_conjecture,
root_occ(esk13_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_62,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk1_2(tptp0,esk16_0),X1)
| root_occ(esk1_2(tptp0,esk16_0),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
subactivity_occurrence(esk1_2(tptp0,esk16_0),esk16_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_31]),c_0_47]) ).
fof(c_0_64,plain,
! [X123,X124] :
( ( ~ occurrence_of(X124,X123)
| activity_occurrence(X124) )
& ( ~ occurrence_of(X124,X123)
| activity(X123) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_03])])])]) ).
cnf(c_0_65,plain,
( ~ subactivity_occurrence(X2,X4)
| ~ occurrence_of(X4,X3)
| ~ min_precedes(X1,X2,X3)
| subactivity_occurrence(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,negated_conjecture,
subactivity_occurrence(esk15_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,negated_conjecture,
next_subocc(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_69,plain,
( ~ leaf(X1,X2)
| atomic(X2)
| occurrence_of(esk4_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_70,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ root_occ(X1,esk16_0)
| X1 = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
root_occ(esk1_2(tptp0,esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_31])]) ).
fof(c_0_72,plain,
! [X152] :
( ( ~ activity_occurrence(X152)
| occurrence_of(X152,esk5_1(X152)) )
& ( ~ activity_occurrence(X152)
| activity(esk5_1(X152)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_12])])])])]) ).
cnf(c_0_73,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X2)
| ~ min_precedes(X1,esk15_1(esk16_0),X2)
| subactivity_occurrence(X1,esk4_2(esk15_1(esk16_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
min_precedes(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_49]),c_0_47]) ).
cnf(c_0_77,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk13_1(X1),esk14_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_78,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| esk1_2(tptp0,esk16_0) = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_79,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_80,negated_conjecture,
activity_occurrence(esk16_0),
inference(spm,[status(thm)],[c_0_73,c_0_31]) ).
cnf(c_0_81,negated_conjecture,
subactivity_occurrence(esk14_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
cnf(c_0_82,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_77,c_0_31]) ).
fof(c_0_83,plain,
! [X192,X193,X194] :
( ( ~ min_precedes(X192,X193,X194)
| min_precedes(esk11_3(X192,X193,X194),X193,X194) )
& ( ~ min_precedes(X192,X193,X194)
| root(esk11_3(X192,X193,X194),X194) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_23])])])])]) ).
cnf(c_0_84,negated_conjecture,
esk1_2(tptp0,esk16_0) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80])]) ).
cnf(c_0_85,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X2)
| ~ min_precedes(X1,esk14_1(esk16_0),X2)
| subactivity_occurrence(X1,esk4_2(esk15_1(esk16_0),tptp0)) ),
inference(spm,[status(thm)],[c_0_65,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_67,c_0_82]) ).
cnf(c_0_87,plain,
( ~ min_precedes(X1,X2,X3)
| root(esk11_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,plain,
( ~ min_precedes(X1,X2,X3)
| min_precedes(esk11_3(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
fof(c_0_89,plain,
! [X9,X10,X11,X12] :
( ( ~ min_precedes(X11,X12,X9)
& arboreal(X11)
& leaf_occ(X12,X10)
& subactivity_occurrence(X11,X10)
& occurrence_of(X10,X9) )
=> X12 = X11 ),
inference(fof_simplification,[status(thm)],[sos_02]) ).
fof(c_0_90,plain,
! [X199,X200,X201] :
( ( ~ next_subocc(X199,X200,X201)
| arboreal(X200) )
& ( ~ next_subocc(X199,X200,X201)
| arboreal(X199) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])]) ).
fof(c_0_91,plain,
! [X142,X143,X144,X145] :
( ~ min_precedes(X143,X145,X144)
| ~ leaf_occ(X143,X142)
| ~ occurrence_of(X142,X144) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_09])])])]) ).
cnf(c_0_92,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk13_1(esk16_0),X1)
| root_occ(esk13_1(esk16_0),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_84]),c_0_84]) ).
cnf(c_0_93,negated_conjecture,
subactivity_occurrence(esk13_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_76])]) ).
cnf(c_0_94,negated_conjecture,
root(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),tptp0),
inference(spm,[status(thm)],[c_0_87,c_0_75]) ).
cnf(c_0_95,negated_conjecture,
min_precedes(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_88,c_0_75]) ).
fof(c_0_96,plain,
! [X119,X120,X121,X122] :
( X122 = X121
| min_precedes(X121,X122,X119)
| ~ arboreal(X121)
| ~ leaf_occ(X122,X120)
| ~ subactivity_occurrence(X121,X120)
| ~ occurrence_of(X120,X119) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])]) ).
cnf(c_0_97,plain,
( ~ next_subocc(X2,X1,X3)
| arboreal(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_98,plain,
( ~ min_precedes(X3,X4,X2)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_99,negated_conjecture,
root_occ(esk13_1(esk16_0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_76])]) ).
cnf(c_0_100,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),X1)
| root_occ(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_94]) ).
cnf(c_0_101,negated_conjecture,
subactivity_occurrence(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_95]),c_0_76])]) ).
cnf(c_0_102,plain,
( ~ arboreal(X3)
| ~ leaf_occ(X4,X1)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| X4 = X3
| min_precedes(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_103,negated_conjecture,
arboreal(esk15_1(esk16_0)),
inference(spm,[status(thm)],[c_0_97,c_0_68]) ).
cnf(c_0_104,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X2)
| ~ min_precedes(esk15_1(esk16_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_57]) ).
cnf(c_0_105,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk13_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_106,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X2)
| ~ root_occ(X1,esk4_2(esk15_1(esk16_0),tptp0))
| X1 = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_99]) ).
cnf(c_0_107,negated_conjecture,
root_occ(esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0),esk4_2(esk15_1(esk16_0),tptp0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_76])]) ).
cnf(c_0_108,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X2)
| ~ leaf_occ(X1,esk4_2(esk15_1(esk16_0),tptp0))
| esk15_1(esk16_0) = X1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_66]),c_0_103])]),c_0_104]) ).
cnf(c_0_109,negated_conjecture,
leaf_occ(esk15_1(esk4_2(esk15_1(esk16_0),tptp0)),esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_30,c_0_76]) ).
cnf(c_0_110,negated_conjecture,
( ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk16_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1)
| occurrence_of(esk17_2(X2,X1),tptp2)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_111,negated_conjecture,
occurrence_of(esk13_1(esk16_0),tptp3),
inference(spm,[status(thm)],[c_0_105,c_0_31]) ).
cnf(c_0_112,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk15_1(X1),tptp2)
| occurrence_of(esk15_1(X1),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_113,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X1)
| esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0) = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
activity_occurrence(esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_73,c_0_76]) ).
cnf(c_0_115,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X1)
| esk15_1(esk4_2(esk15_1(esk16_0),tptp0)) = esk15_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_116,negated_conjecture,
root_occ(esk13_1(esk4_2(esk15_1(esk16_0),tptp0)),esk4_2(esk15_1(esk16_0),tptp0)),
inference(spm,[status(thm)],[c_0_51,c_0_76]) ).
cnf(c_0_117,negated_conjecture,
( ~ leaf_occ(X2,esk16_0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1)
| occurrence_of(esk18_2(X1,X2),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_118,negated_conjecture,
( ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk16_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1)
| subactivity_occurrence(esk17_2(X2,X1),esk16_0)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_119,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| occurrence_of(X1,tptp2)
| occurrence_of(esk17_2(esk13_1(esk16_0),X1),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_61]),c_0_111])]) ).
cnf(c_0_120,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(spm,[status(thm)],[c_0_112,c_0_31]) ).
cnf(c_0_121,negated_conjecture,
esk11_3(esk14_1(esk16_0),esk15_1(esk16_0),tptp0) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_79]),c_0_114])]) ).
cnf(c_0_122,negated_conjecture,
subactivity_occurrence(esk15_1(esk16_0),esk16_0),
inference(spm,[status(thm)],[c_0_56,c_0_34]) ).
fof(c_0_123,plain,
! [X169,X170] :
( ( ~ occurrence_of(X169,X170)
| arboreal(X169)
| ~ atomic(X170) )
& ( ~ occurrence_of(X169,X170)
| atomic(X170)
| ~ arboreal(X169) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_16])])])]) ).
cnf(c_0_124,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk14_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_125,negated_conjecture,
esk15_1(esk4_2(esk15_1(esk16_0),tptp0)) = esk15_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_79]),c_0_114])]) ).
cnf(c_0_126,negated_conjecture,
( ~ occurrence_of(esk4_2(esk15_1(esk16_0),tptp0),X1)
| esk13_1(esk4_2(esk15_1(esk16_0),tptp0)) = esk13_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_116]) ).
cnf(c_0_127,negated_conjecture,
( ~ leaf_occ(X2,esk16_0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1)
| subactivity_occurrence(esk18_2(X1,X2),esk16_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_128,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| occurrence_of(X1,tptp1)
| occurrence_of(esk18_2(esk13_1(esk16_0),X1),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_61]),c_0_111])]) ).
cnf(c_0_129,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| occurrence_of(X1,tptp2)
| subactivity_occurrence(esk17_2(esk13_1(esk16_0),X1),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_61]),c_0_111])]) ).
cnf(c_0_130,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp2)
| occurrence_of(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_34]),c_0_120]) ).
cnf(c_0_131,negated_conjecture,
min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0),
inference(rw,[status(thm)],[c_0_95,c_0_121]) ).
cnf(c_0_132,negated_conjecture,
( ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk16_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1)
| min_precedes(X2,esk17_2(X2,X1),tptp0)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_133,plain,
! [X125,X126,X127,X128] :
( X127 = X128
| min_precedes(X128,X127,X125)
| min_precedes(X127,X128,X125)
| ~ subactivity_occurrence(X128,X126)
| ~ subactivity_occurrence(X127,X126)
| ~ arboreal(X128)
| ~ arboreal(X127)
| ~ occurrence_of(X126,X125) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_04])])]) ).
cnf(c_0_134,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ min_precedes(X1,esk15_1(esk16_0),X2)
| subactivity_occurrence(X1,esk16_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_122]) ).
cnf(c_0_135,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_136,negated_conjecture,
occurrence_of(esk14_1(esk16_0),tptp4),
inference(spm,[status(thm)],[c_0_124,c_0_31]) ).
cnf(c_0_137,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_35]) ).
cnf(c_0_138,negated_conjecture,
next_subocc(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),esk15_1(esk16_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_76]),c_0_125]) ).
cnf(c_0_139,plain,
( ~ activity_occurrence(X1)
| atomic(esk5_1(X1))
| root(esk1_2(esk5_1(X1),X1),esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_79]) ).
cnf(c_0_140,negated_conjecture,
esk13_1(esk4_2(esk15_1(esk16_0),tptp0)) = esk13_1(esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_79]),c_0_114])]) ).
cnf(c_0_141,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| occurrence_of(X1,tptp1)
| subactivity_occurrence(esk18_2(esk13_1(esk16_0),X1),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_61]),c_0_111])]) ).
cnf(c_0_142,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp1)
| occurrence_of(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_34]),c_0_120]) ).
cnf(c_0_143,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp2)
| subactivity_occurrence(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_34]),c_0_120]) ).
cnf(c_0_144,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| occurrence_of(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]) ).
cnf(c_0_145,plain,
atomic(tptp2),
inference(split_conjunct,[status(thm)],[sos_37]) ).
cnf(c_0_146,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| occurrence_of(X1,tptp2)
| min_precedes(esk13_1(esk16_0),esk17_2(esk13_1(esk16_0),X1),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_61]),c_0_111])]) ).
cnf(c_0_147,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_133]) ).
cnf(c_0_148,negated_conjecture,
subactivity_occurrence(esk14_1(esk16_0),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_75]),c_0_31])]) ).
cnf(c_0_149,negated_conjecture,
arboreal(esk14_1(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_137])]) ).
cnf(c_0_150,negated_conjecture,
min_precedes(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),esk15_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_67,c_0_138]) ).
cnf(c_0_151,negated_conjecture,
occurrence_of(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),tptp4),
inference(spm,[status(thm)],[c_0_124,c_0_76]) ).
cnf(c_0_152,plain,
( ~ occurrence_of(X2,esk5_1(X1))
| ~ subactivity_occurrence(esk1_2(esk5_1(X1),X1),X2)
| ~ activity_occurrence(X1)
| atomic(esk5_1(X1))
| root_occ(esk1_2(esk5_1(X1),X1),X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_139]) ).
cnf(c_0_153,plain,
( ~ activity_occurrence(X1)
| atomic(esk5_1(X1))
| subactivity_occurrence(esk1_2(esk5_1(X1),X1),X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_79]) ).
cnf(c_0_154,plain,
( ~ root_occ(X2,X1)
| occurrence_of(X1,esk10_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_155,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_156,negated_conjecture,
next_subocc(esk13_1(esk16_0),esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_76]),c_0_140]) ).
cnf(c_0_157,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ min_precedes(esk15_1(esk16_0),X1,X2) ),
inference(spm,[status(thm)],[c_0_98,c_0_34]) ).
cnf(c_0_158,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp1)
| subactivity_occurrence(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_34]),c_0_120]) ).
cnf(c_0_159,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| occurrence_of(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_131])]) ).
cnf(c_0_160,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_36]) ).
cnf(c_0_161,negated_conjecture,
( ~ leaf_occ(X2,esk16_0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk16_0)
| ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1)
| min_precedes(X1,esk18_2(X1,X2),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_162,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| subactivity_occurrence(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_131])]) ).
cnf(c_0_163,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| arboreal(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_144]),c_0_145])]) ).
cnf(c_0_164,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk13_1(esk16_0),esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_34]),c_0_120]) ).
cnf(c_0_165,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ subactivity_occurrence(X1,esk16_0)
| ~ arboreal(X1)
| min_precedes(esk14_1(esk16_0),X1,X2)
| min_precedes(X1,esk14_1(esk16_0),X2)
| X1 = esk14_1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149])]) ).
cnf(c_0_166,negated_conjecture,
subactivity_occurrence(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),esk16_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_150]),c_0_31])]) ).
cnf(c_0_167,negated_conjecture,
arboreal(esk14_1(esk4_2(esk15_1(esk16_0),tptp0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_151]),c_0_137])]) ).
cnf(c_0_168,plain,
( ~ activity_occurrence(X1)
| atomic(esk5_1(X1))
| root_occ(esk1_2(esk5_1(X1),X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_79]) ).
cnf(c_0_169,negated_conjecture,
occurrence_of(esk16_0,esk10_2(esk13_1(esk16_0),esk16_0)),
inference(spm,[status(thm)],[c_0_154,c_0_61]) ).
cnf(c_0_170,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| ~ min_precedes(X1,esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),tptp0) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_171,negated_conjecture,
( ~ min_precedes(X1,esk15_1(esk16_0),tptp0)
| ~ min_precedes(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),X1,tptp0) ),
inference(spm,[status(thm)],[c_0_155,c_0_138]) ).
cnf(c_0_172,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ subactivity_occurrence(X1,esk16_0)
| ~ arboreal(X1)
| min_precedes(X1,esk15_1(esk16_0),X2)
| X1 = esk15_1(esk16_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_122]),c_0_103])]),c_0_157]) ).
cnf(c_0_173,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| subactivity_occurrence(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_131])]) ).
cnf(c_0_174,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| arboreal(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_159]),c_0_160])]) ).
cnf(c_0_175,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ leaf_occ(X1,esk16_0)
| ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| occurrence_of(X1,tptp1)
| min_precedes(esk13_1(esk16_0),esk18_2(esk13_1(esk16_0),X1),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_61]),c_0_111])]) ).
cnf(c_0_176,negated_conjecture,
( ~ occurrence_of(esk16_0,X2)
| ~ leaf_occ(X1,esk16_0)
| occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),X1,X2)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = X1 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_162]),c_0_163]) ).
cnf(c_0_177,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk13_1(esk16_0),esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_131])]) ).
cnf(c_0_178,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| min_precedes(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),esk14_1(esk16_0),X1)
| min_precedes(esk14_1(esk16_0),esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),X1)
| esk14_1(esk4_2(esk15_1(esk16_0),tptp0)) = esk14_1(esk16_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).
cnf(c_0_179,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk10_2(esk1_2(esk5_1(X1),X1),X1))
| atomic(esk5_1(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_168]) ).
cnf(c_0_180,negated_conjecture,
esk5_1(esk16_0) = tptp0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_79]),c_0_80])]) ).
cnf(c_0_181,negated_conjecture,
esk10_2(esk13_1(esk16_0),esk16_0) = tptp0,
inference(spm,[status(thm)],[c_0_38,c_0_169]) ).
cnf(c_0_182,negated_conjecture,
~ min_precedes(esk14_1(esk16_0),esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),tptp0),
inference(spm,[status(thm)],[c_0_170,c_0_86]) ).
cnf(c_0_183,negated_conjecture,
~ min_precedes(esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),esk14_1(esk16_0),tptp0),
inference(spm,[status(thm)],[c_0_171,c_0_75]) ).
cnf(c_0_184,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk15_1(esk16_0),X1)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_185,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk14_1(esk16_0),X1)
| min_precedes(esk14_1(esk16_0),esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),X1)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_173]),c_0_174]) ).
cnf(c_0_186,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),esk15_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk13_1(esk16_0),esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_34]),c_0_120]) ).
cnf(c_0_187,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk15_1(esk16_0),X1)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_176,c_0_34]) ).
cnf(c_0_188,negated_conjecture,
( ~ min_precedes(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk14_1(esk4_2(esk15_1(esk16_0),tptp0)),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(spm,[status(thm)],[c_0_170,c_0_177]) ).
cnf(c_0_189,negated_conjecture,
esk14_1(esk4_2(esk15_1(esk16_0),tptp0)) = esk14_1(esk16_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_80])]),c_0_182]),c_0_183]),c_0_47]) ).
cnf(c_0_190,negated_conjecture,
( ~ min_precedes(esk14_1(esk16_0),X1,tptp0)
| ~ min_precedes(X1,esk15_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_155,c_0_68]) ).
cnf(c_0_191,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk15_1(esk16_0),tptp0)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_179]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_80])]),c_0_47]) ).
cnf(c_0_192,negated_conjecture,
( ~ min_precedes(esk13_1(esk16_0),X1,tptp0)
| ~ min_precedes(X1,esk14_1(esk16_0),tptp0) ),
inference(spm,[status(thm)],[c_0_155,c_0_82]) ).
cnf(c_0_193,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk14_1(esk16_0),esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0)
| min_precedes(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk14_1(esk16_0),tptp0)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_179]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_80])]),c_0_47]) ).
cnf(c_0_194,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk13_1(esk16_0),esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_131])]) ).
fof(c_0_195,plain,
tptp4 != tptp1,
inference(fof_simplification,[status(thm)],[sos_40]) ).
cnf(c_0_196,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk15_1(esk16_0),tptp0)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_179]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_80])]),c_0_47]) ).
cnf(c_0_197,negated_conjecture,
( ~ occurrence_of(esk16_0,X1)
| occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk14_1(esk16_0),X1)
| min_precedes(esk14_1(esk16_0),esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),X1)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_162]),c_0_163]) ).
cnf(c_0_198,negated_conjecture,
( ~ min_precedes(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),esk14_1(esk16_0),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp2) ),
inference(rw,[status(thm)],[c_0_188,c_0_189]) ).
fof(c_0_199,plain,
tptp4 != tptp2,
inference(fof_simplification,[status(thm)],[sos_41]) ).
cnf(c_0_200,plain,
( ~ occurrence_of(X2,X1)
| X1 = esk5_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_79]),c_0_73]) ).
cnf(c_0_201,negated_conjecture,
( ~ min_precedes(esk14_1(esk16_0),esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp1)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
cnf(c_0_202,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| min_precedes(esk14_1(esk16_0),esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_194]) ).
cnf(c_0_203,negated_conjecture,
( ~ occurrence_of(esk14_1(esk16_0),X1)
| X1 = tptp4 ),
inference(spm,[status(thm)],[c_0_32,c_0_136]) ).
cnf(c_0_204,negated_conjecture,
activity_occurrence(esk14_1(esk16_0)),
inference(spm,[status(thm)],[c_0_73,c_0_136]) ).
fof(c_0_205,plain,
tptp4 != tptp1,
inference(fof_nnf,[status(thm)],[c_0_195]) ).
cnf(c_0_206,negated_conjecture,
( ~ min_precedes(esk14_1(esk16_0),esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0)
| occurrence_of(esk15_1(esk16_0),tptp2)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_190,c_0_196]) ).
cnf(c_0_207,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| min_precedes(esk14_1(esk16_0),esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)),tptp0)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_179]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_84]),c_0_181]),c_0_180]),c_0_80])]),c_0_47]),c_0_198]) ).
fof(c_0_208,plain,
tptp4 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_199]) ).
cnf(c_0_209,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| esk5_1(esk18_2(esk13_1(esk16_0),esk15_1(esk16_0))) = tptp1 ),
inference(spm,[status(thm)],[c_0_200,c_0_159]) ).
cnf(c_0_210,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_211,negated_conjecture,
esk5_1(esk14_1(esk16_0)) = tptp4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_79]),c_0_204])]) ).
cnf(c_0_212,plain,
tptp4 != tptp1,
inference(split_conjunct,[status(thm)],[c_0_205]) ).
cnf(c_0_213,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| esk5_1(esk17_2(esk13_1(esk16_0),esk15_1(esk16_0))) = tptp2 ),
inference(spm,[status(thm)],[c_0_200,c_0_144]) ).
cnf(c_0_214,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk14_1(esk16_0) ),
inference(spm,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_215,plain,
tptp4 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_208]) ).
cnf(c_0_216,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp1)
| esk18_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]),c_0_212]) ).
fof(c_0_217,plain,
tptp1 != tptp2,
inference(fof_simplification,[status(thm)],[sos_44]) ).
cnf(c_0_218,negated_conjecture,
( occurrence_of(esk15_1(esk16_0),tptp2)
| esk17_2(esk13_1(esk16_0),esk15_1(esk16_0)) = esk15_1(esk16_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_211]),c_0_215]) ).
cnf(c_0_219,negated_conjecture,
occurrence_of(esk15_1(esk16_0),tptp1),
inference(spm,[status(thm)],[c_0_159,c_0_216]) ).
fof(c_0_220,plain,
tptp1 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_217]) ).
cnf(c_0_221,negated_conjecture,
occurrence_of(esk15_1(esk16_0),tptp2),
inference(spm,[status(thm)],[c_0_144,c_0_218]) ).
cnf(c_0_222,negated_conjecture,
esk5_1(esk15_1(esk16_0)) = tptp1,
inference(spm,[status(thm)],[c_0_200,c_0_219]) ).
cnf(c_0_223,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_220]) ).
cnf(c_0_224,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_221]),c_0_222]),c_0_223]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PRO008+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.45 % Computer : n005.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 03:41:33 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.51 Running first-order theorem proving
% 0.20/0.51 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
% 8.42/1.83 % Version: 3.5.1
% 8.42/1.83 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.42/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.42/1.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.42/1.83 % Starting new_bool_3 with 300s (1) cores
% 8.42/1.83 % Starting new_bool_1 with 300s (1) cores
% 8.42/1.83 % Starting sh5l with 300s (1) cores
% 8.42/1.83 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2468770 completed with status 0
% 8.42/1.83 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 8.42/1.83 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.42/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.42/1.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.42/1.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.42/1.83 % No SInE strategy applied
% 8.42/1.83 % Search class: FGHSF-FFMM31-SFFFFFNN
% 8.42/1.83 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.42/1.83 % Starting SubtermCWHack with 136s (1) cores
% 8.42/1.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.42/1.83 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 8.42/1.83 % Starting new_bool_3 with 136s (1) cores
% 8.42/1.83 % Starting new_bool_1 with 136s (1) cores
% 8.42/1.83 % new_bool_1 with pid 2468778 completed with status 0
% 8.42/1.83 % Result found by new_bool_1
% 8.42/1.83 % Preprocessing class: FSLSSMSSSSSNFFN.
% 8.42/1.83 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 8.42/1.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 8.42/1.83 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 8.42/1.83 % No SInE strategy applied
% 8.42/1.83 % Search class: FGHSF-FFMM31-SFFFFFNN
% 8.42/1.83 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 8.42/1.83 % Starting SubtermCWHack with 136s (1) cores
% 8.42/1.83 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 8.42/1.83 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 136s (1) cores
% 8.42/1.83 % Starting new_bool_3 with 136s (1) cores
% 8.42/1.83 % Starting new_bool_1 with 136s (1) cores
% 8.42/1.83 % Preprocessing time : 0.004 s
% 8.42/1.83 % Presaturation interreduction done
% 8.42/1.83
% 8.42/1.83 % Proof found!
% 8.42/1.83 % SZS status Theorem
% 8.42/1.83 % SZS output start CNFRefutation
% See solution above
% 8.42/1.83 % Parsed axioms : 46
% 8.42/1.83 % Removed by relevancy pruning/SinE : 0
% 8.42/1.83 % Initial clauses : 112
% 8.42/1.83 % Removed in clause preprocessing : 8
% 8.42/1.83 % Initial clauses in saturation : 104
% 8.42/1.83 % Processed clauses : 4209
% 8.42/1.83 % ...of these trivial : 148
% 8.42/1.83 % ...subsumed : 1242
% 8.42/1.83 % ...remaining for further processing : 2819
% 8.42/1.83 % Other redundant clauses eliminated : 0
% 8.42/1.83 % Clauses deleted for lack of memory : 0
% 8.42/1.83 % Backward-subsumed : 164
% 8.42/1.83 % Backward-rewritten : 759
% 8.42/1.83 % Generated clauses : 12539
% 8.42/1.83 % ...of the previous two non-redundant : 8980
% 8.42/1.83 % ...aggressively subsumed : 0
% 8.42/1.83 % Contextual simplify-reflections : 103
% 8.42/1.83 % Paramodulations : 12537
% 8.42/1.83 % Factorizations : 2
% 8.42/1.83 % NegExts : 0
% 8.42/1.83 % Equation resolutions : 0
% 8.42/1.83 % Disequality decompositions : 0
% 8.42/1.83 % Total rewrite steps : 10159
% 8.42/1.83 % ...of those cached : 9710
% 8.42/1.83 % Propositional unsat checks : 0
% 8.42/1.83 % Propositional check models : 0
% 8.42/1.83 % Propositional check unsatisfiable : 0
% 8.42/1.83 % Propositional clauses : 0
% 8.42/1.83 % Propositional clauses after purity: 0
% 8.42/1.83 % Propositional unsat core size : 0
% 8.42/1.83 % Propositional preprocessing time : 0.000
% 8.42/1.83 % Propositional encoding time : 0.000
% 8.42/1.83 % Propositional solver time : 0.000
% 8.42/1.83 % Success case prop preproc time : 0.000
% 8.42/1.83 % Success case prop encoding time : 0.000
% 8.42/1.83 % Success case prop solver time : 0.000
% 8.42/1.83 % Current number of processed clauses : 1792
% 8.42/1.83 % Positive orientable unit clauses : 409
% 8.42/1.83 % Positive unorientable unit clauses: 0
% 8.42/1.83 % Negative unit clauses : 148
% 8.42/1.83 % Non-unit-clauses : 1235
% 8.42/1.83 % Current number of unprocessed clauses: 4064
% 8.42/1.83 % ...number of literals in the above : 15239
% 8.42/1.83 % Current number of archived formulas : 0
% 8.42/1.83 % Current number of archived clauses : 1027
% 8.42/1.83 % Clause-clause subsumption calls (NU) : 379453
% 8.42/1.83 % Rec. Clause-clause subsumption calls : 245209
% 8.42/1.83 % Non-unit clause-clause subsumptions : 1089
% 8.42/1.83 % Unit Clause-clause subsumption calls : 25634
% 8.42/1.83 % Rewrite failures with RHS unbound : 0
% 8.42/1.83 % BW rewrite match attempts : 1802
% 8.42/1.83 % BW rewrite match successes : 81
% 8.42/1.83 % Condensation attempts : 0
% 8.42/1.83 % Condensation successes : 0
% 8.42/1.83 % Termbank termtop insertions : 375866
% 8.42/1.83 % Search garbage collected termcells : 1516
% 8.42/1.83
% 8.42/1.83 % -------------------------------------------------
% 8.42/1.83 % User time : 1.185 s
% 8.42/1.83 % System time : 0.040 s
% 8.42/1.83 % Total time : 1.224 s
% 8.42/1.83 % Maximum resident set size: 3948 pages
% 8.42/1.83
% 8.42/1.83 % -------------------------------------------------
% 8.42/1.83 % User time : 5.421 s
% 8.42/1.83 % System time : 0.177 s
% 8.42/1.83 % Total time : 5.597 s
% 8.42/1.83 % Maximum resident set size: 4864 pages
% 8.42/1.83 % E exiting
%------------------------------------------------------------------------------