%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PRO008+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 93.83s 14.34s
% Output : CNFRefutation 93.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 215 ( 69 unt; 0 def)
% Number of atoms : 859 ( 75 equ)
% Maximal formula atoms : 225 ( 3 avg)
% Number of connectives : 1057 ( 413 ~; 498 |; 119 &)
% ( 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 : 274 ( 7 sgn 120 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( ( occurrence_of(X168,tptp2)
=> ~ ? [X170] :
( min_precedes(X167,X170,tptp0)
& subactivity_occurrence(X170,X166)
& occurrence_of(X170,tptp1) ) )
& ( occurrence_of(X168,tptp1)
=> ~ ? [X169] :
( min_precedes(X167,X169,tptp0)
& subactivity_occurrence(X169,X166)
& occurrence_of(X169,tptp2) ) )
& leaf_occ(X168,X166)
& min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp2)
| occurrence_of(X168,tptp1) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(sos_49,axiom,
! [X162] :
( occurrence_of(X162,tptp0)
=> ? [X163,X164,X165] :
( leaf_occ(X165,X162)
& next_subocc(X164,X165,tptp0)
& ( occurrence_of(X165,tptp2)
| occurrence_of(X165,tptp1) )
& next_subocc(X163,X164,tptp0)
& occurrence_of(X164,tptp4)
& root_occ(X163,X162)
& occurrence_of(X163,tptp3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_49) ).
fof(sos_22,axiom,
! [X61,X62,X63] :
( next_subocc(X61,X62,X63)
<=> ( ~ ? [X64] :
( min_precedes(X64,X62,X63)
& min_precedes(X61,X64,X63) )
& min_precedes(X61,X62,X63) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_22) ).
fof(sos_34,axiom,
! [X103,X104] :
( leaf_occ(X103,X104)
<=> ? [X105] :
( leaf(X103,X105)
& subactivity_occurrence(X103,X104)
& occurrence_of(X104,X105) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_34) ).
fof(sos_27,axiom,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_27) ).
fof(sos_51,axiom,
~ atomic(tptp0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_51) ).
fof(sos_13,axiom,
! [X32,X33,X34] :
( min_precedes(X32,X33,X34)
=> ? [X35] :
( min_precedes(X35,X33,X34)
& root(X35,X34) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_13) ).
fof(sos_29,axiom,
! [X84,X85,X86,X87] :
( ( subactivity_occurrence(X85,X87)
& occurrence_of(X87,X86)
& min_precedes(X84,X85,X86) )
=> subactivity_occurrence(X84,X87) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_29) ).
fof(sos_33,axiom,
! [X100,X101] :
( root_occ(X100,X101)
<=> ? [X102] :
( root(X100,X102)
& subactivity_occurrence(X100,X101)
& occurrence_of(X101,X102) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_33) ).
fof(sos_35,axiom,
! [X106,X107,X108,X109] :
( ( root_occ(X107,X108)
& root_occ(X106,X108)
& occurrence_of(X108,X109) )
=> X106 = X107 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_35) ).
fof(sos,axiom,
! [X1,X2] :
( occurrence_of(X2,X1)
=> ( activity_occurrence(X2)
& activity(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(sos_02,axiom,
! [X5,X6,X7] :
( ( occurrence_of(X5,X7)
& occurrence_of(X5,X6) )
=> X6 = X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(sos_25,axiom,
! [X70,X71,X72] :
( min_precedes(X71,X72,X70)
=> ? [X73] :
( subactivity_occurrence(X72,X73)
& subactivity_occurrence(X71,X73)
& occurrence_of(X73,X70) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_25) ).
fof(sos_01,axiom,
! [X3] :
( activity_occurrence(X3)
=> ? [X4] :
( occurrence_of(X3,X4)
& activity(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(sos_36,axiom,
! [X110,X111,X112,X113] :
( ( leaf_occ(X111,X112)
& leaf_occ(X110,X112)
& ~ atomic(X113)
& occurrence_of(X112,X113) )
=> X110 = X111 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_36) ).
fof(sos_43,axiom,
! [X139,X140,X141,X142] :
( ( ~ min_precedes(X141,X142,X139)
& arboreal(X141)
& leaf_occ(X142,X140)
& subactivity_occurrence(X141,X140)
& occurrence_of(X140,X139) )
=> X142 = X141 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_43) ).
fof(sos_40,axiom,
! [X127,X128,X129,X130] :
( ( next_subocc(X129,X127,X130)
& next_subocc(X128,X127,X130) )
=> X128 = X129 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_40) ).
fof(sos_07,axiom,
! [X17,X18] :
( occurrence_of(X17,X18)
=> ( arboreal(X17)
<=> atomic(X18) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(sos_53,axiom,
atomic(tptp1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_53) ).
fof(sos_28,axiom,
! [X80,X81,X82,X83] :
( ( subactivity_occurrence(X83,X81)
& subactivity_occurrence(X82,X81)
& arboreal(X83)
& arboreal(X82)
& occurrence_of(X81,X80) )
=> ( X82 = X83
| min_precedes(X83,X82,X80)
| min_precedes(X82,X83,X80) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_28) ).
fof(sos_52,axiom,
atomic(tptp4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_52) ).
fof(sos_54,axiom,
atomic(tptp2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_54) ).
fof(sos_57,axiom,
tptp4 != tptp1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_57) ).
fof(sos_58,axiom,
tptp4 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_58) ).
fof(sos_61,axiom,
tptp1 != tptp2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_61) ).
fof(c_0_25,negated_conjecture,
~ ! [X166] :
( occurrence_of(X166,tptp0)
=> ? [X167,X168] :
( ( occurrence_of(X168,tptp2)
=> ~ ? [X170] :
( min_precedes(X167,X170,tptp0)
& subactivity_occurrence(X170,X166)
& occurrence_of(X170,tptp1) ) )
& ( occurrence_of(X168,tptp1)
=> ~ ? [X169] :
( min_precedes(X167,X169,tptp0)
& subactivity_occurrence(X169,X166)
& occurrence_of(X169,tptp2) ) )
& leaf_occ(X168,X166)
& min_precedes(X167,X168,tptp0)
& ( occurrence_of(X168,tptp2)
| occurrence_of(X168,tptp1) )
& root_occ(X167,X166)
& occurrence_of(X167,tptp3) ) ),
inference(assume_negation,[status(cth)],[goals]) ).
fof(c_0_26,plain,
! [X349] :
( ( ~ occurrence_of(X349,tptp0)
| leaf_occ(esk19_1(X349),X349) )
& ( ~ occurrence_of(X349,tptp0)
| next_subocc(esk18_1(X349),esk19_1(X349),tptp0) )
& ( ~ occurrence_of(X349,tptp0)
| occurrence_of(esk19_1(X349),tptp2)
| occurrence_of(esk19_1(X349),tptp1) )
& ( ~ occurrence_of(X349,tptp0)
| next_subocc(esk17_1(X349),esk18_1(X349),tptp0) )
& ( ~ occurrence_of(X349,tptp0)
| occurrence_of(esk18_1(X349),tptp4) )
& ( ~ occurrence_of(X349,tptp0)
| root_occ(esk17_1(X349),X349) )
& ( ~ occurrence_of(X349,tptp0)
| occurrence_of(esk17_1(X349),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_49])])])])]) ).
fof(c_0_27,negated_conjecture,
! [X354,X355] :
( ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(esk21_2(X354,X355),tptp2)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(esk21_2(X354,X355),tptp2)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(esk21_2(X354,X355),tptp2)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(esk21_2(X354,X355),tptp2)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(X355,tptp1)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(X355,tptp1)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(X355,tptp1)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp2)
| occurrence_of(X355,tptp1)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| min_precedes(X354,esk21_2(X354,X355),tptp0)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| subactivity_occurrence(esk21_2(X354,X355),esk20_0)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(esk21_2(X354,X355),tptp2)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(esk21_2(X354,X355),tptp2)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(esk21_2(X354,X355),tptp2)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(esk21_2(X354,X355),tptp2)
| occurrence_of(X355,tptp2) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(X355,tptp1)
| min_precedes(X354,esk22_2(X354,X355),tptp0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(X355,tptp1)
| subactivity_occurrence(esk22_2(X354,X355),esk20_0) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(X355,tptp1)
| occurrence_of(esk22_2(X354,X355),tptp1) )
& ( ~ leaf_occ(X355,esk20_0)
| ~ min_precedes(X354,X355,tptp0)
| ~ root_occ(X354,esk20_0)
| ~ occurrence_of(X354,tptp3)
| ~ occurrence_of(X355,tptp1)
| occurrence_of(X355,tptp1)
| occurrence_of(X355,tptp2) )
& occurrence_of(esk20_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,
! [X235,X236,X237,X238,X239,X240,X241] :
( ( next_subocc(X239,X240,X241)
| ~ min_precedes(X239,X240,X241)
| min_precedes(esk8_3(X239,X240,X241),X240,X241) )
& ( next_subocc(X239,X240,X241)
| ~ min_precedes(X239,X240,X241)
| min_precedes(X239,esk8_3(X239,X240,X241),X241) )
& ( ~ next_subocc(X235,X236,X237)
| ~ min_precedes(X238,X236,X237)
| ~ min_precedes(X235,X238,X237) )
& ( ~ next_subocc(X235,X236,X237)
| min_precedes(X235,X236,X237) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_22])])])])])])]) ).
cnf(c_0_29,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk18_1(X1),esk19_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
occurrence_of(esk20_0,tptp0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X287,X288,X290,X291,X292] :
( ( leaf_occ(X290,X291)
| ~ leaf(X290,X292)
| ~ subactivity_occurrence(X290,X291)
| ~ occurrence_of(X291,X292) )
& ( ~ leaf_occ(X287,X288)
| leaf(X287,esk15_2(X287,X288)) )
& ( ~ leaf_occ(X287,X288)
| subactivity_occurrence(X287,X288) )
& ( ~ leaf_occ(X287,X288)
| occurrence_of(X288,esk15_2(X287,X288)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_34])])])])])])]) ).
cnf(c_0_32,plain,
( ~ occurrence_of(X1,tptp0)
| leaf_occ(esk19_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_33,plain,
! [X77,X78] :
( ( ~ atomic(X77)
& occurrence_of(X78,X77) )
=> ? [X79] :
( subactivity_occurrence(X79,X78)
& root(X79,X77) ) ),
inference(fof_simplification,[status(thm)],[sos_27]) ).
fof(c_0_34,plain,
~ atomic(tptp0),
inference(fof_simplification,[status(thm)],[sos_51]) ).
fof(c_0_35,plain,
! [X202,X203,X204] :
( ( ~ min_precedes(X202,X203,X204)
| min_precedes(esk5_3(X202,X203,X204),X203,X204) )
& ( ~ min_precedes(X202,X203,X204)
| root(esk5_3(X202,X203,X204),X204) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_13])])])])]) ).
cnf(c_0_36,plain,
( ~ next_subocc(X1,X2,X3)
| min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
next_subocc(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_38,plain,
! [X265,X266,X267,X268] :
( subactivity_occurrence(X265,X268)
| ~ subactivity_occurrence(X266,X268)
| ~ occurrence_of(X268,X267)
| ~ min_precedes(X265,X266,X267) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_29])])]) ).
cnf(c_0_39,plain,
( ~ leaf_occ(X1,X2)
| subactivity_occurrence(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
leaf_occ(esk19_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
fof(c_0_41,plain,
! [X258,X259] :
( ( atomic(X258)
| ~ occurrence_of(X259,X258)
| subactivity_occurrence(esk12_2(X258,X259),X259) )
& ( atomic(X258)
| ~ occurrence_of(X259,X258)
| root(esk12_2(X258,X259),X258) ) ),
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_33])])])])]) ).
fof(c_0_42,plain,
~ atomic(tptp0),
inference(fof_nnf,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X281,X282,X284,X285,X286] :
( ( root_occ(X284,X285)
| ~ root(X284,X286)
| ~ subactivity_occurrence(X284,X285)
| ~ occurrence_of(X285,X286) )
& ( ~ root_occ(X281,X282)
| root(X281,esk14_2(X281,X282)) )
& ( ~ root_occ(X281,X282)
| subactivity_occurrence(X281,X282) )
& ( ~ root_occ(X281,X282)
| occurrence_of(X282,esk14_2(X281,X282)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_33])])])])])])]) ).
cnf(c_0_44,plain,
( ~ min_precedes(X1,X2,X3)
| root(esk5_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
min_precedes(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_46,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_38]) ).
cnf(c_0_47,negated_conjecture,
subactivity_occurrence(esk19_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_48,plain,
( ~ min_precedes(X1,X2,X3)
| min_precedes(esk5_3(X1,X2,X3),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| root(esk12_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
~ atomic(tptp0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_51,plain,
! [X293,X294,X295,X296] :
( X293 = X294
| ~ root_occ(X294,X295)
| ~ root_occ(X293,X295)
| ~ occurrence_of(X295,X296) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_35])])]) ).
cnf(c_0_52,plain,
( ~ occurrence_of(X1,tptp0)
| root_occ(esk17_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
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_43]) ).
cnf(c_0_54,negated_conjecture,
root(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),tptp0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ min_precedes(X1,esk19_1(esk20_0),X2)
| subactivity_occurrence(X1,esk20_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
min_precedes(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),esk19_1(esk20_0),tptp0),
inference(spm,[status(thm)],[c_0_48,c_0_45]) ).
cnf(c_0_57,negated_conjecture,
root(esk12_2(tptp0,esk20_0),tptp0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_30]),c_0_50]) ).
cnf(c_0_58,plain,
( ~ occurrence_of(X2,X1)
| atomic(X1)
| subactivity_occurrence(esk12_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_59,plain,
( ~ root_occ(X4,X1)
| ~ root_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
root_occ(esk17_1(esk20_0),esk20_0),
inference(spm,[status(thm)],[c_0_52,c_0_30]) ).
cnf(c_0_61,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),X1)
| root_occ(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
subactivity_occurrence(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_30])]) ).
fof(c_0_63,plain,
! [X171,X172] :
( ( ~ occurrence_of(X172,X171)
| activity_occurrence(X172) )
& ( ~ occurrence_of(X172,X171)
| activity(X171) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos])])])]) ).
fof(c_0_64,plain,
! [X175,X176,X177] :
( X176 = X177
| ~ occurrence_of(X175,X177)
| ~ occurrence_of(X175,X176) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_02])])]) ).
cnf(c_0_65,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk12_2(tptp0,esk20_0),X1)
| root_occ(esk12_2(tptp0,esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_57]) ).
cnf(c_0_66,negated_conjecture,
subactivity_occurrence(esk12_2(tptp0,esk20_0),esk20_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_30]),c_0_50]) ).
fof(c_0_67,plain,
! [X251,X252,X253] :
( ( ~ min_precedes(X252,X253,X251)
| subactivity_occurrence(X253,esk10_3(X251,X252,X253)) )
& ( ~ min_precedes(X252,X253,X251)
| subactivity_occurrence(X252,esk10_3(X251,X252,X253)) )
& ( ~ min_precedes(X252,X253,X251)
| occurrence_of(esk10_3(X251,X252,X253),X251) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_25])])])])]) ).
cnf(c_0_68,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ root_occ(X1,esk20_0)
| X1 = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
root_occ(esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_30])]) ).
fof(c_0_70,plain,
! [X173] :
( ( ~ activity_occurrence(X173)
| occurrence_of(X173,esk1_1(X173)) )
& ( ~ activity_occurrence(X173)
| activity(esk1_1(X173)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_01])])])])]) ).
cnf(c_0_71,plain,
( ~ occurrence_of(X1,X2)
| activity_occurrence(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( ~ occurrence_of(X1,X3)
| ~ occurrence_of(X1,X2)
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_73,plain,
( ~ leaf_occ(X2,X1)
| occurrence_of(X1,esk15_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_74,negated_conjecture,
root_occ(esk12_2(tptp0,esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_30])]) ).
cnf(c_0_75,plain,
( ~ min_precedes(X3,X1,X2)
| subactivity_occurrence(X1,esk10_3(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_76,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk1_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,negated_conjecture,
activity_occurrence(esk20_0),
inference(spm,[status(thm)],[c_0_71,c_0_30]) ).
cnf(c_0_79,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| X1 = tptp0 ),
inference(spm,[status(thm)],[c_0_72,c_0_30]) ).
cnf(c_0_80,negated_conjecture,
occurrence_of(esk20_0,esk15_2(esk19_1(esk20_0),esk20_0)),
inference(spm,[status(thm)],[c_0_73,c_0_40]) ).
cnf(c_0_81,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| esk12_2(tptp0,esk20_0) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
subactivity_occurrence(esk19_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_75,c_0_45]) ).
cnf(c_0_83,negated_conjecture,
esk5_3(esk18_1(esk20_0),esk19_1(esk20_0),tptp0) = esk17_1(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_84,plain,
( ~ min_precedes(X2,X3,X1)
| occurrence_of(esk10_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_85,plain,
( ~ leaf_occ(X1,X2)
| leaf(X1,esk15_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_86,negated_conjecture,
esk15_2(esk19_1(esk20_0),esk20_0) = tptp0,
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
esk12_2(tptp0,esk20_0) = esk17_1(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_77]),c_0_78])]) ).
cnf(c_0_88,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2)
| ~ min_precedes(X1,esk19_1(esk20_0),X2)
| subactivity_occurrence(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) ),
inference(spm,[status(thm)],[c_0_46,c_0_82]) ).
cnf(c_0_89,negated_conjecture,
min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0),
inference(rw,[status(thm)],[c_0_56,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),tptp0),
inference(spm,[status(thm)],[c_0_84,c_0_45]) ).
fof(c_0_91,plain,
! [X110,X111,X112,X113] :
( ( leaf_occ(X111,X112)
& leaf_occ(X110,X112)
& ~ atomic(X113)
& occurrence_of(X112,X113) )
=> X110 = X111 ),
inference(fof_simplification,[status(thm)],[sos_36]) ).
cnf(c_0_92,plain,
( ~ leaf(X3,X2)
| ~ subactivity_occurrence(X3,X1)
| ~ occurrence_of(X1,X2)
| leaf_occ(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_93,negated_conjecture,
leaf(esk19_1(esk20_0),tptp0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_40]),c_0_86]) ).
cnf(c_0_94,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk17_1(X1),tptp3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_95,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk17_1(esk20_0),X1)
| root_occ(esk17_1(esk20_0),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_87]),c_0_87]) ).
cnf(c_0_96,negated_conjecture,
subactivity_occurrence(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
fof(c_0_97,plain,
! [X297,X298,X299,X300] :
( X297 = X298
| ~ leaf_occ(X298,X299)
| ~ leaf_occ(X297,X299)
| atomic(X300)
| ~ occurrence_of(X299,X300) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])]) ).
cnf(c_0_98,negated_conjecture,
( ~ occurrence_of(X1,tptp0)
| ~ subactivity_occurrence(esk19_1(esk20_0),X1)
| leaf_occ(esk19_1(esk20_0),X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_99,negated_conjecture,
( ~ leaf_occ(X2,esk20_0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1)
| occurrence_of(esk22_2(X1,X2),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_100,negated_conjecture,
occurrence_of(esk17_1(esk20_0),tptp3),
inference(spm,[status(thm)],[c_0_94,c_0_30]) ).
cnf(c_0_101,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk19_1(X1),tptp2)
| occurrence_of(esk19_1(X1),tptp1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_102,negated_conjecture,
root_occ(esk17_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_90])]) ).
cnf(c_0_103,plain,
( ~ leaf_occ(X4,X1)
| ~ leaf_occ(X3,X1)
| ~ occurrence_of(X1,X2)
| X3 = X4
| atomic(X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_104,negated_conjecture,
leaf_occ(esk19_1(esk20_0),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_82]),c_0_90])]) ).
fof(c_0_105,plain,
! [X139,X140,X141,X142] :
( ( ~ min_precedes(X141,X142,X139)
& arboreal(X141)
& leaf_occ(X142,X140)
& subactivity_occurrence(X141,X140)
& occurrence_of(X140,X139) )
=> X142 = X141 ),
inference(fof_simplification,[status(thm)],[sos_43]) ).
cnf(c_0_106,negated_conjecture,
( ~ leaf_occ(X2,esk20_0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1)
| subactivity_occurrence(esk22_2(X1,X2),esk20_0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_107,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ leaf_occ(X1,esk20_0)
| occurrence_of(X1,tptp1)
| occurrence_of(esk22_2(esk17_1(esk20_0),X1),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_60]),c_0_100])]) ).
cnf(c_0_108,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| occurrence_of(esk19_1(esk20_0),tptp2) ),
inference(spm,[status(thm)],[c_0_101,c_0_30]) ).
cnf(c_0_109,plain,
( ~ occurrence_of(X1,tptp0)
| next_subocc(esk17_1(X1),esk18_1(X1),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_110,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2)
| ~ root_occ(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
| X1 = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
root_occ(esk17_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_52,c_0_90]) ).
cnf(c_0_112,negated_conjecture,
( ~ leaf_occ(X2,esk20_0)
| ~ min_precedes(X1,X2,tptp0)
| ~ root_occ(X1,esk20_0)
| ~ occurrence_of(X1,tptp3)
| ~ occurrence_of(X2,tptp2)
| occurrence_of(X2,tptp1)
| min_precedes(X1,esk22_2(X1,X2),tptp0) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_113,plain,
! [X314,X315,X316,X317] :
( X315 = X316
| ~ next_subocc(X316,X314,X317)
| ~ next_subocc(X315,X314,X317) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_40])])]) ).
cnf(c_0_114,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X2)
| ~ leaf_occ(X1,esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)))
| atomic(X2)
| X1 = esk19_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_115,negated_conjecture,
leaf_occ(esk19_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_32,c_0_90]) ).
cnf(c_0_116,plain,
( ~ occurrence_of(X2,X1)
| X1 = esk1_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_77]),c_0_71]) ).
cnf(c_0_117,negated_conjecture,
( ~ leaf_occ(X1,esk20_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk20_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1)
| occurrence_of(esk21_2(X2,X1),tptp2)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_118,plain,
! [X326,X327,X328,X329] :
( X329 = X328
| min_precedes(X328,X329,X326)
| ~ arboreal(X328)
| ~ leaf_occ(X329,X327)
| ~ subactivity_occurrence(X328,X327)
| ~ occurrence_of(X327,X326) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
cnf(c_0_119,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ leaf_occ(X1,esk20_0)
| occurrence_of(X1,tptp1)
| subactivity_occurrence(esk22_2(esk17_1(esk20_0),X1),esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_60]),c_0_100])]) ).
fof(c_0_120,plain,
! [X187,X188] :
( ( ~ occurrence_of(X187,X188)
| arboreal(X187)
| ~ atomic(X188) )
& ( ~ occurrence_of(X187,X188)
| atomic(X188)
| ~ arboreal(X187) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_07])])])]) ).
cnf(c_0_121,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp1)
| occurrence_of(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_40]),c_0_108]) ).
cnf(c_0_122,plain,
( ~ activity_occurrence(X1)
| atomic(esk1_1(X1))
| root(esk12_2(esk1_1(X1),X1),esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_77]) ).
cnf(c_0_123,plain,
( ~ occurrence_of(X1,tptp0)
| occurrence_of(esk18_1(X1),tptp4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_124,plain,
( ~ next_subocc(X1,X4,X3)
| ~ min_precedes(X2,X4,X3)
| ~ min_precedes(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_125,negated_conjecture,
next_subocc(esk17_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_109,c_0_90]) ).
cnf(c_0_126,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1)
| esk17_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = esk17_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_127,negated_conjecture,
activity_occurrence(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),
inference(spm,[status(thm)],[c_0_71,c_0_90]) ).
cnf(c_0_128,negated_conjecture,
( ~ occurrence_of(X1,tptp2)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ leaf_occ(X1,esk20_0)
| occurrence_of(X1,tptp1)
| min_precedes(esk17_1(esk20_0),esk22_2(esk17_1(esk20_0),X1),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_60]),c_0_100])]) ).
cnf(c_0_129,plain,
( ~ next_subocc(X4,X2,X3)
| ~ next_subocc(X1,X2,X3)
| X1 = X4 ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_130,negated_conjecture,
next_subocc(esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),esk19_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0),
inference(spm,[status(thm)],[c_0_29,c_0_90]) ).
cnf(c_0_131,negated_conjecture,
( ~ occurrence_of(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0)),X1)
| atomic(X1)
| esk19_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = esk19_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_132,negated_conjecture,
esk1_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = tptp0,
inference(spm,[status(thm)],[c_0_116,c_0_90]) ).
cnf(c_0_133,negated_conjecture,
( ~ leaf_occ(X1,esk20_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk20_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1)
| subactivity_occurrence(esk21_2(X2,X1),esk20_0)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_134,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ leaf_occ(X1,esk20_0)
| occurrence_of(X1,tptp2)
| occurrence_of(esk21_2(esk17_1(esk20_0),X1),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_60]),c_0_100])]) ).
cnf(c_0_135,negated_conjecture,
( ~ leaf_occ(X1,esk20_0)
| ~ min_precedes(X2,X1,tptp0)
| ~ root_occ(X2,esk20_0)
| ~ occurrence_of(X2,tptp3)
| ~ occurrence_of(X1,tptp1)
| min_precedes(X2,esk21_2(X2,X1),tptp0)
| occurrence_of(X1,tptp2) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_136,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_118]) ).
cnf(c_0_137,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp1)
| subactivity_occurrence(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_40]),c_0_108]) ).
cnf(c_0_138,plain,
( ~ occurrence_of(X2,X1)
| ~ atomic(X1)
| arboreal(X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_139,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| occurrence_of(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_89])]) ).
cnf(c_0_140,plain,
atomic(tptp1),
inference(split_conjunct,[status(thm)],[sos_53]) ).
cnf(c_0_141,plain,
( ~ occurrence_of(X2,esk1_1(X1))
| ~ activity_occurrence(X1)
| ~ subactivity_occurrence(esk12_2(esk1_1(X1),X1),X2)
| atomic(esk1_1(X1))
| root_occ(esk12_2(esk1_1(X1),X1),X2) ),
inference(spm,[status(thm)],[c_0_53,c_0_122]) ).
cnf(c_0_142,plain,
( ~ activity_occurrence(X1)
| atomic(esk1_1(X1))
| subactivity_occurrence(esk12_2(esk1_1(X1),X1),X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_77]) ).
cnf(c_0_143,plain,
( ~ root_occ(X2,X1)
| occurrence_of(X1,esk14_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
fof(c_0_144,plain,
! [X261,X262,X263,X264] :
( X263 = X264
| min_precedes(X264,X263,X261)
| min_precedes(X263,X264,X261)
| ~ subactivity_occurrence(X264,X262)
| ~ subactivity_occurrence(X263,X262)
| ~ arboreal(X264)
| ~ arboreal(X263)
| ~ occurrence_of(X262,X261) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sos_28])])]) ).
cnf(c_0_145,negated_conjecture,
occurrence_of(esk18_1(esk20_0),tptp4),
inference(spm,[status(thm)],[c_0_123,c_0_30]) ).
cnf(c_0_146,plain,
atomic(tptp4),
inference(split_conjunct,[status(thm)],[sos_52]) ).
cnf(c_0_147,negated_conjecture,
( ~ min_precedes(esk17_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),X1,tptp0)
| ~ min_precedes(X1,esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_148,negated_conjecture,
esk17_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = esk17_1(esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_77]),c_0_127])]) ).
cnf(c_0_149,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp1)
| min_precedes(esk17_1(esk20_0),esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_40]),c_0_108]) ).
cnf(c_0_150,negated_conjecture,
( ~ next_subocc(X1,esk19_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0)
| X1 = esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_151,negated_conjecture,
esk19_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = esk19_1(esk20_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_77]),c_0_132]),c_0_127])]),c_0_50]) ).
cnf(c_0_152,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ leaf_occ(X1,esk20_0)
| occurrence_of(X1,tptp2)
| subactivity_occurrence(esk21_2(esk17_1(esk20_0),X1),esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_60]),c_0_100])]) ).
cnf(c_0_153,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp2)
| occurrence_of(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_40]),c_0_108]) ).
cnf(c_0_154,negated_conjecture,
( ~ occurrence_of(X1,tptp1)
| ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ leaf_occ(X1,esk20_0)
| occurrence_of(X1,tptp2)
| min_precedes(esk17_1(esk20_0),esk21_2(esk17_1(esk20_0),X1),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_60]),c_0_100])]) ).
cnf(c_0_155,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk20_0)
| min_precedes(X1,esk19_1(esk20_0),X2)
| X1 = esk19_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_136,c_0_40]) ).
cnf(c_0_156,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| subactivity_occurrence(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_89])]) ).
cnf(c_0_157,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| arboreal(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140])]) ).
cnf(c_0_158,plain,
( ~ activity_occurrence(X1)
| atomic(esk1_1(X1))
| root_occ(esk12_2(esk1_1(X1),X1),X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_77]) ).
cnf(c_0_159,negated_conjecture,
occurrence_of(esk20_0,esk14_2(esk17_1(esk20_0),esk20_0)),
inference(spm,[status(thm)],[c_0_143,c_0_60]) ).
cnf(c_0_160,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_144]) ).
cnf(c_0_161,negated_conjecture,
subactivity_occurrence(esk18_1(esk20_0),esk20_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_45]),c_0_30])]) ).
cnf(c_0_162,negated_conjecture,
arboreal(esk18_1(esk20_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_145]),c_0_146])]) ).
cnf(c_0_163,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),X1,tptp0)
| ~ min_precedes(X1,esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0) ),
inference(rw,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_164,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| min_precedes(esk17_1(esk20_0),esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_89])]) ).
cnf(c_0_165,negated_conjecture,
( ~ next_subocc(X1,esk19_1(esk20_0),tptp0)
| X1 = esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) ),
inference(rw,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_166,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp2)
| subactivity_occurrence(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_40]),c_0_108]) ).
cnf(c_0_167,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| occurrence_of(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_89])]) ).
cnf(c_0_168,plain,
atomic(tptp2),
inference(split_conjunct,[status(thm)],[sos_54]) ).
cnf(c_0_169,negated_conjecture,
( ~ min_precedes(esk17_1(esk20_0),esk19_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp2)
| min_precedes(esk17_1(esk20_0),esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_40]),c_0_108]) ).
cnf(c_0_170,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| occurrence_of(esk19_1(esk20_0),tptp1)
| min_precedes(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk19_1(esk20_0),X1)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
cnf(c_0_171,plain,
( ~ activity_occurrence(X1)
| occurrence_of(X1,esk14_2(esk12_2(esk1_1(X1),X1),X1))
| atomic(esk1_1(X1)) ),
inference(spm,[status(thm)],[c_0_143,c_0_158]) ).
cnf(c_0_172,negated_conjecture,
esk1_1(esk20_0) = tptp0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_77]),c_0_78])]) ).
cnf(c_0_173,negated_conjecture,
esk14_2(esk17_1(esk20_0),esk20_0) = tptp0,
inference(spm,[status(thm)],[c_0_79,c_0_159]) ).
cnf(c_0_174,negated_conjecture,
( ~ occurrence_of(esk20_0,X2)
| ~ arboreal(X1)
| ~ subactivity_occurrence(X1,esk20_0)
| min_precedes(esk18_1(esk20_0),X1,X2)
| min_precedes(X1,esk18_1(esk20_0),X2)
| X1 = esk18_1(esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_161]),c_0_162])]) ).
cnf(c_0_175,negated_conjecture,
( ~ min_precedes(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp1) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_176,negated_conjecture,
esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))) = esk18_1(esk20_0),
inference(spm,[status(thm)],[c_0_165,c_0_37]) ).
cnf(c_0_177,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| subactivity_occurrence(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk20_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_89])]) ).
cnf(c_0_178,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| arboreal(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_167]),c_0_168])]) ).
cnf(c_0_179,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| min_precedes(esk17_1(esk20_0),esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_89])]) ).
cnf(c_0_180,negated_conjecture,
( ~ min_precedes(esk18_1(esk20_0),X1,tptp0)
| ~ min_precedes(X1,esk19_1(esk20_0),tptp0) ),
inference(spm,[status(thm)],[c_0_124,c_0_37]) ).
cnf(c_0_181,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| min_precedes(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk19_1(esk20_0),tptp0)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_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_170,c_0_171]),c_0_172]),c_0_87]),c_0_173]),c_0_172]),c_0_78])]),c_0_50]) ).
cnf(c_0_182,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| occurrence_of(esk19_1(esk20_0),tptp1)
| min_precedes(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk18_1(esk20_0),X1)
| min_precedes(esk18_1(esk20_0),esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),X1)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk18_1(esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_156]),c_0_157]) ).
cnf(c_0_183,negated_conjecture,
( ~ min_precedes(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk18_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp1) ),
inference(rw,[status(thm)],[c_0_175,c_0_176]) ).
fof(c_0_184,plain,
tptp4 != tptp1,
inference(fof_simplification,[status(thm)],[sos_57]) ).
cnf(c_0_185,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| occurrence_of(esk19_1(esk20_0),tptp2)
| min_precedes(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk19_1(esk20_0),X1)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_177]),c_0_178]) ).
cnf(c_0_186,negated_conjecture,
( ~ min_precedes(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk18_1(esk10_3(tptp0,esk18_1(esk20_0),esk19_1(esk20_0))),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp2) ),
inference(spm,[status(thm)],[c_0_163,c_0_179]) ).
cnf(c_0_187,negated_conjecture,
( ~ min_precedes(esk18_1(esk20_0),esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp1)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_181]) ).
cnf(c_0_188,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| min_precedes(esk18_1(esk20_0),esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk18_1(esk20_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_182,c_0_171]),c_0_172]),c_0_87]),c_0_173]),c_0_172]),c_0_87]),c_0_173]),c_0_172]),c_0_78])]),c_0_50]),c_0_183]) ).
cnf(c_0_189,negated_conjecture,
( ~ occurrence_of(esk18_1(esk20_0),X1)
| X1 = tptp4 ),
inference(spm,[status(thm)],[c_0_72,c_0_145]) ).
cnf(c_0_190,negated_conjecture,
activity_occurrence(esk18_1(esk20_0)),
inference(spm,[status(thm)],[c_0_71,c_0_145]) ).
fof(c_0_191,plain,
tptp4 != tptp1,
inference(fof_nnf,[status(thm)],[c_0_184]) ).
cnf(c_0_192,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| min_precedes(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk19_1(esk20_0),tptp0)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_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_185,c_0_171]),c_0_172]),c_0_87]),c_0_173]),c_0_172]),c_0_78])]),c_0_50]) ).
cnf(c_0_193,negated_conjecture,
( ~ occurrence_of(esk20_0,X1)
| occurrence_of(esk19_1(esk20_0),tptp2)
| min_precedes(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk18_1(esk20_0),X1)
| min_precedes(esk18_1(esk20_0),esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),X1)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk18_1(esk20_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_177]),c_0_178]) ).
cnf(c_0_194,negated_conjecture,
( ~ min_precedes(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),esk18_1(esk20_0),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp2) ),
inference(rw,[status(thm)],[c_0_186,c_0_176]) ).
fof(c_0_195,plain,
tptp4 != tptp2,
inference(fof_simplification,[status(thm)],[sos_58]) ).
cnf(c_0_196,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| esk1_1(esk22_2(esk17_1(esk20_0),esk19_1(esk20_0))) = tptp1 ),
inference(spm,[status(thm)],[c_0_116,c_0_139]) ).
cnf(c_0_197,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk18_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_198,negated_conjecture,
esk1_1(esk18_1(esk20_0)) = tptp4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_77]),c_0_190])]) ).
cnf(c_0_199,plain,
tptp4 != tptp1,
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_200,negated_conjecture,
( ~ min_precedes(esk18_1(esk20_0),esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0)
| occurrence_of(esk19_1(esk20_0),tptp2)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_180,c_0_192]) ).
cnf(c_0_201,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| min_precedes(esk18_1(esk20_0),esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)),tptp0)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk18_1(esk20_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_193,c_0_171]),c_0_172]),c_0_87]),c_0_173]),c_0_172]),c_0_87]),c_0_173]),c_0_172]),c_0_78])]),c_0_50]),c_0_194]) ).
fof(c_0_202,plain,
tptp4 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_195]) ).
cnf(c_0_203,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp1)
| esk22_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_197]),c_0_198]),c_0_199]) ).
fof(c_0_204,plain,
tptp1 != tptp2,
inference(fof_simplification,[status(thm)],[sos_61]) ).
cnf(c_0_205,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| esk1_1(esk21_2(esk17_1(esk20_0),esk19_1(esk20_0))) = tptp2 ),
inference(spm,[status(thm)],[c_0_116,c_0_167]) ).
cnf(c_0_206,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk18_1(esk20_0) ),
inference(spm,[status(thm)],[c_0_200,c_0_201]) ).
cnf(c_0_207,plain,
tptp4 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_208,negated_conjecture,
occurrence_of(esk19_1(esk20_0),tptp1),
inference(spm,[status(thm)],[c_0_139,c_0_203]) ).
fof(c_0_209,plain,
tptp1 != tptp2,
inference(fof_nnf,[status(thm)],[c_0_204]) ).
cnf(c_0_210,negated_conjecture,
( occurrence_of(esk19_1(esk20_0),tptp2)
| esk21_2(esk17_1(esk20_0),esk19_1(esk20_0)) = esk19_1(esk20_0) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_198]),c_0_207]) ).
cnf(c_0_211,negated_conjecture,
esk1_1(esk19_1(esk20_0)) = tptp1,
inference(spm,[status(thm)],[c_0_116,c_0_208]) ).
cnf(c_0_212,plain,
tptp1 != tptp2,
inference(split_conjunct,[status(thm)],[c_0_209]) ).
cnf(c_0_213,negated_conjecture,
occurrence_of(esk19_1(esk20_0),tptp2),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_210]),c_0_211]),c_0_212]) ).
cnf(c_0_214,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_213]),c_0_211]),c_0_212]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO008+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.79 % Computer : n004.cluster.edu
% 0.10/0.79 % Model : x86_64 x86_64
% 0.10/0.79 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.79 % Memory : 8046.5625MB
% 0.10/0.79 % OS : Linux 6.8.0-71-generic
% 0.10/0.79 % CPULimit : 300
% 0.10/0.79 % WCLimit : 300
% 0.10/0.79 % DateTime : Mon Sep 21 03:41:52 UTC 2026
% 0.10/0.79 % CPUTime :
% 0.10/0.79 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.84 Running first-order theorem proving
% 0.14/0.84 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.83/14.34 % Version: 3.5.1
% 93.83/14.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 93.83/14.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 93.83/14.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 93.83/14.34 % Starting new_bool_3 with 300s (1) cores
% 93.83/14.34 % Starting new_bool_1 with 300s (1) cores
% 93.83/14.34 % Starting sh5l with 300s (1) cores
% 93.83/14.34 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2165227 completed with status 0
% 93.83/14.34 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 93.83/14.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 93.83/14.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 93.83/14.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 93.83/14.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 93.83/14.34 % No SInE strategy applied
% 93.83/14.34 % Search class: FGHSF-FSLM32-SFFFFFNN
% 93.83/14.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 93.83/14.34 % Starting SubtermCWHack with 136s (1) cores
% 93.83/14.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 93.83/14.34 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 93.83/14.34 % Starting new_bool_3 with 136s (1) cores
% 93.83/14.34 % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 93.83/14.34 % new_bool_3 with pid 2165237 completed with status 0
% 93.83/14.34 % Result found by new_bool_3
% 93.83/14.34 % Preprocessing class: FSLSSMSSSSSNFFN.
% 93.83/14.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 93.83/14.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 93.83/14.34 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 93.83/14.34 % No SInE strategy applied
% 93.83/14.34 % Search class: FGHSF-FSLM32-SFFFFFNN
% 93.83/14.34 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 93.83/14.34 % Starting SubtermCWHack with 136s (1) cores
% 93.83/14.34 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 93.83/14.34 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 93.83/14.34 % Starting new_bool_3 with 136s (1) cores
% 93.83/14.34 % Preprocessing time : 0.003 s
% 93.83/14.34 % Presaturation interreduction done
% 93.83/14.34
% 93.83/14.34 % Proof found!
% 93.83/14.34 % SZS status Theorem
% 93.83/14.34 % SZS output start CNFRefutation
% See solution above
% 93.83/14.34 % Parsed axioms : 63
% 93.83/14.34 % Removed by relevancy pruning/SinE : 0
% 93.83/14.34 % Initial clauses : 134
% 93.83/14.34 % Removed in clause preprocessing : 8
% 93.83/14.34 % Initial clauses in saturation : 126
% 93.83/14.34 % Processed clauses : 33981
% 93.83/14.34 % ...of these trivial : 1490
% 93.83/14.34 % ...subsumed : 23921
% 93.83/14.34 % ...remaining for further processing : 8570
% 93.83/14.34 % Other redundant clauses eliminated : 0
% 93.83/14.34 % Clauses deleted for lack of memory : 0
% 93.83/14.34 % Backward-subsumed : 452
% 93.83/14.34 % Backward-rewritten : 2287
% 93.83/14.34 % Generated clauses : 194427
% 93.83/14.34 % ...of the previous two non-redundant : 157647
% 93.83/14.34 % ...aggressively subsumed : 0
% 93.83/14.34 % Contextual simplify-reflections : 773
% 93.83/14.34 % Paramodulations : 194425
% 93.83/14.34 % Factorizations : 2
% 93.83/14.34 % NegExts : 0
% 93.83/14.34 % Equation resolutions : 0
% 93.83/14.34 % Disequality decompositions : 0
% 93.83/14.34 % Total rewrite steps : 338018
% 93.83/14.34 % ...of those cached : 337121
% 93.83/14.34 % Propositional unsat checks : 1
% 93.83/14.34 % Propositional check models : 0
% 93.83/14.34 % Propositional check unsatisfiable : 0
% 93.83/14.34 % Propositional clauses : 0
% 93.83/14.34 % Propositional clauses after purity: 0
% 93.83/14.34 % Propositional unsat core size : 0
% 93.83/14.34 % Propositional preprocessing time : 0.000
% 93.83/14.34 % Propositional encoding time : 0.016
% 93.83/14.34 % Propositional solver time : 0.048
% 93.83/14.34 % Success case prop preproc time : 0.000
% 93.83/14.34 % Success case prop encoding time : 0.000
% 93.83/14.34 % Success case prop solver time : 0.000
% 93.83/14.34 % Current number of processed clauses : 5705
% 93.83/14.34 % Positive orientable unit clauses : 888
% 93.83/14.34 % Positive unorientable unit clauses: 0
% 93.83/14.34 % Negative unit clauses : 311
% 93.83/14.34 % Non-unit-clauses : 4506
% 93.83/14.34 % Current number of unprocessed clauses: 120637
% 93.83/14.34 % ...number of literals in the above : 446586
% 93.83/14.34 % Current number of archived formulas : 0
% 93.83/14.34 % Current number of archived clauses : 2865
% 93.83/14.34 % Clause-clause subsumption calls (NU) : 5828906
% 93.83/14.34 % Rec. Clause-clause subsumption calls : 2932740
% 93.83/14.34 % Non-unit clause-clause subsumptions : 18536
% 93.83/14.34 % Unit Clause-clause subsumption calls : 174306
% 93.83/14.34 % Rewrite failures with RHS unbound : 0
% 93.83/14.34 % BW rewrite match attempts : 3337
% 93.83/14.34 % BW rewrite match successes : 192
% 93.83/14.34 % Condensation attempts : 0
% 93.83/14.34 % Condensation successes : 0
% 93.83/14.34 % Termbank termtop insertions : 10639666
% 93.83/14.34 % Search garbage collected termcells : 2051
% 93.83/14.34
% 93.83/14.34 % -------------------------------------------------
% 93.83/14.34 % User time : 13.216 s
% 93.83/14.34 % System time : 0.156 s
% 93.83/14.34 % Total time : 13.372 s
% 93.83/14.34 % Maximum resident set size: 4068 pages
% 93.83/14.34
% 93.83/14.34 % -------------------------------------------------
% 93.83/14.34 % User time : 66.003 s
% 93.83/14.34 % System time : 0.797 s
% 93.83/14.34 % Total time : 66.799 s
% 93.83/14.34 % Maximum resident set size: 4864 pages
% 93.83/14.34 % E exiting
%------------------------------------------------------------------------------