%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : CSR043+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 : Wed Oct 7 10:13:48 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of formulae : 187 ( 107 unt; 0 typ; 0 def)
% Number of atoms : 938 ( 247 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 1260 ( 228 ~; 182 |; 21 &; 775 @)
% ( 0 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 26 usr; 13 con; 0-2 aty)
% Number of variables : 364 ( 0 ^; 364 !; 0 ?; 364 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_binarypredicate,type,
binarypredicate: $i > $o ).
thf(tp_c_basekb,type,
c_basekb: $i ).
thf(tp_c_calendarsmt,type,
c_calendarsmt: $i ).
thf(tp_c_calendarsvocabularymt,type,
c_calendarsvocabularymt: $i ).
thf(tp_c_cyclistsmt,type,
c_cyclistsmt: $i ).
thf(tp_c_genlmt,type,
c_genlmt: $i ).
thf(tp_c_tptp_member2862_mt,type,
c_tptp_member2862_mt: $i ).
thf(tp_c_tptp_spindleheadmt,type,
c_tptp_spindleheadmt: $i ).
thf(tp_c_tptpcol_15_30970,type,
c_tptpcol_15_30970: $i ).
thf(tp_c_tptpcol_16_30972,type,
c_tptpcol_16_30972: $i ).
thf(tp_c_transitivebinarypredicate,type,
c_transitivebinarypredicate: $i ).
thf(tp_c_universalvocabularymt,type,
c_universalvocabularymt: $i ).
thf(tp_collection,type,
collection: $i > $o ).
thf(tp_disjointwith,type,
disjointwith: $i > $i > $o ).
thf(tp_genlinverse,type,
genlinverse: $i > $i > $o ).
thf(tp_genlmt,type,
genlmt: $i > $i > $o ).
thf(tp_genlpreds,type,
genlpreds: $i > $i > $o ).
thf(tp_genls,type,
genls: $i > $i > $o ).
thf(tp_isa,type,
isa: $i > $i > $o ).
thf(tp_microtheory,type,
microtheory: $i > $o ).
thf(tp_mtvisible,type,
mtvisible: $i > $o ).
thf(tp_predicate,type,
predicate: $i > $o ).
thf(tp_thing,type,
thing: $i > $o ).
thf(tp_tptpcol_15_30970,type,
tptpcol_15_30970: $i > $o ).
thf(tp_tptpcol_16_30972,type,
tptpcol_16_30972: $i > $o ).
thf(tp_transitivebinarypredicate,type,
transitivebinarypredicate: $i > $o ).
thf(1,axiom,
mtvisible @ c_universalvocabularymt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).
thf(9,axiom,
! [SPECMT: $i,GENLMT: $i] :
( ( ( mtvisible @ SPECMT )
& ( genlmt @ SPECMT @ GENLMT ) )
=> ( mtvisible @ GENLMT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just49) ).
thf(10,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( isa @ ARG1 @ OLD )
& ( genls @ OLD @ NEW ) )
=> ( isa @ ARG1 @ NEW ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just48) ).
thf(17,axiom,
mtvisible @ c_basekb,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
thf(18,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( genls @ ARG1 @ OLD )
& ( genls @ OLD @ NEW ) )
=> ( genls @ ARG1 @ NEW ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).
thf(19,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( ( genls @ OLD @ ARG2 )
& ( genls @ NEW @ OLD ) )
=> ( genls @ NEW @ ARG2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just39) ).
thf(20,axiom,
! [X: $i] :
( ( collection @ X )
=> ( genls @ X @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just38) ).
thf(21,axiom,
! [X: $i] :
( ( collection @ X )
=> ( genls @ X @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).
thf(22,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( genls @ X @ Y )
& ( genls @ Y @ Z ) )
=> ( genls @ X @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).
thf(23,axiom,
! [INS: $i,ARG2: $i] :
( ( genls @ INS @ ARG2 )
=> ( collection @ INS ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).
thf(24,axiom,
! [INS: $i,ARG2: $i] :
( ( genls @ INS @ ARG2 )
=> ( collection @ INS ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).
thf(25,axiom,
! [ARG1: $i,INS: $i] :
( ( genls @ ARG1 @ INS )
=> ( collection @ INS ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).
thf(26,axiom,
! [ARG1: $i,INS: $i] :
( ( genls @ ARG1 @ INS )
=> ( collection @ INS ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).
thf(27,axiom,
! [X: $i] :
( ( tptpcol_16_30972 @ X )
=> ( isa @ X @ c_tptpcol_16_30972 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).
thf(28,axiom,
! [X: $i] :
( ( isa @ X @ c_tptpcol_16_30972 )
=> ( tptpcol_16_30972 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).
thf(29,axiom,
! [X: $i] :
( ( tptpcol_15_30970 @ X )
=> ( isa @ X @ c_tptpcol_15_30970 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).
thf(30,axiom,
! [X: $i] :
( ( isa @ X @ c_tptpcol_15_30970 )
=> ( tptpcol_15_30970 @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).
thf(31,axiom,
! [OLD: $i,ARG2: $i,NEW: $i] :
( ( ( disjointwith @ OLD @ ARG2 )
& ( genls @ NEW @ OLD ) )
=> ( disjointwith @ NEW @ ARG2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just27) ).
thf(32,axiom,
! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( disjointwith @ ARG1 @ OLD )
& ( genls @ NEW @ OLD ) )
=> ( disjointwith @ ARG1 @ NEW ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just26) ).
thf(49,axiom,
genlmt @ c_tptp_member2862_mt @ c_tptp_spindleheadmt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).
thf(52,axiom,
genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just6) ).
thf(58,conjecture,
( ( mtvisible @ c_tptp_member2862_mt )
=> ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query43) ).
thf(59,negated_conjecture,
( ( ( mtvisible @ c_tptp_member2862_mt )
=> ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[58]) ).
thf(60,plain,
( ( ( mtvisible @ c_tptp_member2862_mt )
=> ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 ) )
= $false ),
inference(unfold_def,[status(thm)],[59]) ).
thf(61,plain,
( ( mtvisible @ c_universalvocabularymt )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(62,plain,
( ( ! [SPECMT: $i,GENLMT: $i] :
( ( ( mtvisible @ SPECMT )
& ( genlmt @ SPECMT @ GENLMT ) )
=> ( mtvisible @ GENLMT ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(63,plain,
( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( isa @ ARG1 @ OLD )
& ( genls @ OLD @ NEW ) )
=> ( isa @ ARG1 @ NEW ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(64,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(65,plain,
( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( genls @ ARG1 @ OLD )
& ( genls @ OLD @ NEW ) )
=> ( genls @ ARG1 @ NEW ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(66,plain,
( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( ( genls @ OLD @ ARG2 )
& ( genls @ NEW @ OLD ) )
=> ( genls @ NEW @ ARG2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(67,plain,
( ( ! [X: $i] :
( ( collection @ X )
=> ( genls @ X @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(68,plain,
( ( ! [X: $i] :
( ( collection @ X )
=> ( genls @ X @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(69,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( genls @ X @ Y )
& ( genls @ Y @ Z ) )
=> ( genls @ X @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(70,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( genls @ INS @ ARG2 )
=> ( collection @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(71,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( genls @ INS @ ARG2 )
=> ( collection @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(72,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( genls @ ARG1 @ INS )
=> ( collection @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(73,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( genls @ ARG1 @ INS )
=> ( collection @ INS ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(74,plain,
( ( ! [X: $i] :
( ( tptpcol_16_30972 @ X )
=> ( isa @ X @ c_tptpcol_16_30972 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(75,plain,
( ( ! [X: $i] :
( ( isa @ X @ c_tptpcol_16_30972 )
=> ( tptpcol_16_30972 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(76,plain,
( ( ! [X: $i] :
( ( tptpcol_15_30970 @ X )
=> ( isa @ X @ c_tptpcol_15_30970 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(77,plain,
( ( ! [X: $i] :
( ( isa @ X @ c_tptpcol_15_30970 )
=> ( tptpcol_15_30970 @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(78,plain,
( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( ( disjointwith @ OLD @ ARG2 )
& ( genls @ NEW @ OLD ) )
=> ( disjointwith @ NEW @ ARG2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(79,plain,
( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( disjointwith @ ARG1 @ OLD )
& ( genls @ NEW @ OLD ) )
=> ( disjointwith @ ARG1 @ NEW ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(80,plain,
( ( genlmt @ c_tptp_member2862_mt @ c_tptp_spindleheadmt )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(81,plain,
( ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(82,plain,
( ( mtvisible @ c_tptp_member2862_mt )
= $true ),
inference(standard_cnf,[status(thm)],[60]) ).
thf(83,plain,
( ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 )
= $false ),
inference(standard_cnf,[status(thm)],[60]) ).
thf(84,plain,
( ( ~ ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 ) )
= $true ),
inference(polarity_switch,[status(thm)],[83]) ).
thf(85,plain,
( ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 )
= $true ),
inference(copy,[status(thm)],[81]) ).
thf(86,plain,
( ( genlmt @ c_tptp_member2862_mt @ c_tptp_spindleheadmt )
= $true ),
inference(copy,[status(thm)],[80]) ).
thf(87,plain,
( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( disjointwith @ ARG1 @ OLD )
& ( genls @ NEW @ OLD ) )
=> ( disjointwith @ ARG1 @ NEW ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(88,plain,
( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( ( disjointwith @ OLD @ ARG2 )
& ( genls @ NEW @ OLD ) )
=> ( disjointwith @ NEW @ ARG2 ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(89,plain,
( ( ! [X: $i] :
( ( isa @ X @ c_tptpcol_15_30970 )
=> ( tptpcol_15_30970 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(90,plain,
( ( ! [X: $i] :
( ( tptpcol_15_30970 @ X )
=> ( isa @ X @ c_tptpcol_15_30970 ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(91,plain,
( ( ! [X: $i] :
( ( isa @ X @ c_tptpcol_16_30972 )
=> ( tptpcol_16_30972 @ X ) ) )
= $true ),
inference(copy,[status(thm)],[75]) ).
thf(92,plain,
( ( ! [X: $i] :
( ( tptpcol_16_30972 @ X )
=> ( isa @ X @ c_tptpcol_16_30972 ) ) )
= $true ),
inference(copy,[status(thm)],[74]) ).
thf(93,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( genls @ ARG1 @ INS )
=> ( collection @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(94,plain,
( ( ! [ARG1: $i,INS: $i] :
( ( genls @ ARG1 @ INS )
=> ( collection @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(95,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( genls @ INS @ ARG2 )
=> ( collection @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(96,plain,
( ( ! [INS: $i,ARG2: $i] :
( ( genls @ INS @ ARG2 )
=> ( collection @ INS ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(97,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( genls @ X @ Y )
& ( genls @ Y @ Z ) )
=> ( genls @ X @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(98,plain,
( ( ! [X: $i] :
( ( collection @ X )
=> ( genls @ X @ X ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(99,plain,
( ( ! [X: $i] :
( ( collection @ X )
=> ( genls @ X @ X ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(100,plain,
( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
( ( ( genls @ OLD @ ARG2 )
& ( genls @ NEW @ OLD ) )
=> ( genls @ NEW @ ARG2 ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(101,plain,
( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( genls @ ARG1 @ OLD )
& ( genls @ OLD @ NEW ) )
=> ( genls @ ARG1 @ NEW ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(102,plain,
( ( mtvisible @ c_basekb )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(103,plain,
( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
( ( ( isa @ ARG1 @ OLD )
& ( genls @ OLD @ NEW ) )
=> ( isa @ ARG1 @ NEW ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(104,plain,
( ( ! [SPECMT: $i,GENLMT: $i] :
( ( ( mtvisible @ SPECMT )
& ( genlmt @ SPECMT @ GENLMT ) )
=> ( mtvisible @ GENLMT ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(105,plain,
( ( mtvisible @ c_universalvocabularymt )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(106,plain,
( ( mtvisible @ c_tptp_member2862_mt )
= $true ),
inference(copy,[status(thm)],[82]) ).
thf(107,plain,
( ( ~ ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 ) )
= $true ),
inference(copy,[status(thm)],[84]) ).
thf(108,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( disjointwith @ SX0 @ SX1 )
| ~ ( genls @ SX2 @ SX0 ) )
| ( disjointwith @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(109,plain,
( ( ! [SX0: $i] :
( ~ ( tptpcol_16_30972 @ SX0 )
| ( isa @ SX0 @ c_tptpcol_16_30972 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(110,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( genls @ SX0 @ SX1 )
| ( collection @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(111,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( genls @ SX0 @ SX1 )
| ( collection @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(112,plain,
( ( ! [SX0: $i] :
( ~ ( collection @ SX0 )
| ( genls @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(113,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( genls @ SX0 @ SX1 )
| ~ ( genls @ SX1 @ SX2 ) )
| ( genls @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(114,plain,
( ( ! [SX0: $i] :
( ~ ( isa @ SX0 @ c_tptpcol_16_30972 )
| ( tptpcol_16_30972 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(115,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( disjointwith @ SX0 @ SX1 )
| ~ ( genls @ SX2 @ SX1 ) )
| ( disjointwith @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(116,plain,
( ( ! [SX0: $i] :
( ~ ( tptpcol_15_30970 @ SX0 )
| ( isa @ SX0 @ c_tptpcol_15_30970 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(117,plain,
( ( ! [SX0: $i] :
( ~ ( collection @ SX0 )
| ( genls @ SX0 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(118,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( genls @ SX0 @ SX1 )
| ~ ( genls @ SX2 @ SX0 ) )
| ( genls @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(119,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( genls @ SX0 @ SX1 )
| ( collection @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(120,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( genls @ SX0 @ SX1 )
| ( collection @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(121,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( genls @ SX0 @ SX1 )
| ~ ( genls @ SX1 @ SX2 ) )
| ( genls @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(122,plain,
( ( ! [SX0: $i] :
( ~ ( isa @ SX0 @ c_tptpcol_15_30970 )
| ( tptpcol_15_30970 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(123,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( isa @ SX0 @ SX1 )
| ~ ( genls @ SX1 @ SX2 ) )
| ( isa @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(124,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( mtvisible @ SX0 )
| ~ ( genlmt @ SX0 @ SX1 ) )
| ( mtvisible @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(125,plain,
( ( genls @ c_tptpcol_16_30972 @ c_tptpcol_15_30970 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(126,plain,
! [SV1: $i] :
( ( ! [SY34: $i,SY35: $i] :
( ~ ~ ( ~ ( disjointwith @ SV1 @ SY34 )
| ~ ( genls @ SY35 @ SV1 ) )
| ( disjointwith @ SY35 @ SY34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(127,plain,
! [SV2: $i] :
( ( ~ ( tptpcol_16_30972 @ SV2 )
| ( isa @ SV2 @ c_tptpcol_16_30972 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(128,plain,
! [SV3: $i] :
( ( ! [SY36: $i] :
( ~ ( genls @ SV3 @ SY36 )
| ( collection @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(129,plain,
! [SV4: $i] :
( ( ! [SY37: $i] :
( ~ ( genls @ SV4 @ SY37 )
| ( collection @ SY37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(130,plain,
! [SV5: $i] :
( ( ~ ( collection @ SV5 )
| ( genls @ SV5 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(131,plain,
! [SV6: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ~ ( ~ ( genls @ SV6 @ SY38 )
| ~ ( genls @ SY38 @ SY39 ) )
| ( genls @ SV6 @ SY39 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(132,plain,
! [SV7: $i] :
( ( ~ ( isa @ SV7 @ c_tptpcol_16_30972 )
| ( tptpcol_16_30972 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(133,plain,
! [SV8: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ~ ( ~ ( disjointwith @ SV8 @ SY40 )
| ~ ( genls @ SY41 @ SY40 ) )
| ( disjointwith @ SV8 @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(134,plain,
! [SV9: $i] :
( ( ~ ( tptpcol_15_30970 @ SV9 )
| ( isa @ SV9 @ c_tptpcol_15_30970 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(135,plain,
! [SV10: $i] :
( ( ~ ( collection @ SV10 )
| ( genls @ SV10 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(136,plain,
! [SV11: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ~ ~ ( ~ ( genls @ SV11 @ SY42 )
| ~ ( genls @ SY43 @ SV11 ) )
| ( genls @ SY43 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(137,plain,
! [SV12: $i] :
( ( ! [SY44: $i] :
( ~ ( genls @ SV12 @ SY44 )
| ( collection @ SY44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(138,plain,
! [SV13: $i] :
( ( ! [SY45: $i] :
( ~ ( genls @ SV13 @ SY45 )
| ( collection @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(139,plain,
! [SV14: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ~ ( ~ ( genls @ SV14 @ SY46 )
| ~ ( genls @ SY46 @ SY47 ) )
| ( genls @ SV14 @ SY47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(140,plain,
! [SV15: $i] :
( ( ~ ( isa @ SV15 @ c_tptpcol_15_30970 )
| ( tptpcol_15_30970 @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(141,plain,
! [SV16: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ~ ( ~ ( isa @ SV16 @ SY48 )
| ~ ( genls @ SY48 @ SY49 ) )
| ( isa @ SV16 @ SY49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(142,plain,
! [SV17: $i] :
( ( ! [SY50: $i] :
( ~ ~ ( ~ ( mtvisible @ SV17 )
| ~ ( genlmt @ SV17 @ SY50 ) )
| ( mtvisible @ SY50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(143,plain,
! [SV18: $i,SV1: $i] :
( ( ! [SY51: $i] :
( ~ ~ ( ~ ( disjointwith @ SV1 @ SV18 )
| ~ ( genls @ SY51 @ SV1 ) )
| ( disjointwith @ SY51 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(144,plain,
! [SV2: $i] :
( ( ( ~ ( tptpcol_16_30972 @ SV2 ) )
= $true )
| ( ( isa @ SV2 @ c_tptpcol_16_30972 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(145,plain,
! [SV19: $i,SV3: $i] :
( ( ~ ( genls @ SV3 @ SV19 )
| ( collection @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(146,plain,
! [SV20: $i,SV4: $i] :
( ( ~ ( genls @ SV4 @ SV20 )
| ( collection @ SV20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(147,plain,
! [SV5: $i] :
( ( ( ~ ( collection @ SV5 ) )
= $true )
| ( ( genls @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(148,plain,
! [SV21: $i,SV6: $i] :
( ( ! [SY52: $i] :
( ~ ~ ( ~ ( genls @ SV6 @ SV21 )
| ~ ( genls @ SV21 @ SY52 ) )
| ( genls @ SV6 @ SY52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(149,plain,
! [SV7: $i] :
( ( ( ~ ( isa @ SV7 @ c_tptpcol_16_30972 ) )
= $true )
| ( ( tptpcol_16_30972 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(150,plain,
! [SV22: $i,SV8: $i] :
( ( ! [SY53: $i] :
( ~ ~ ( ~ ( disjointwith @ SV8 @ SV22 )
| ~ ( genls @ SY53 @ SV22 ) )
| ( disjointwith @ SV8 @ SY53 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(151,plain,
! [SV9: $i] :
( ( ( ~ ( tptpcol_15_30970 @ SV9 ) )
= $true )
| ( ( isa @ SV9 @ c_tptpcol_15_30970 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(152,plain,
! [SV10: $i] :
( ( ( ~ ( collection @ SV10 ) )
= $true )
| ( ( genls @ SV10 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[135]) ).
thf(153,plain,
! [SV23: $i,SV11: $i] :
( ( ! [SY54: $i] :
( ~ ~ ( ~ ( genls @ SV11 @ SV23 )
| ~ ( genls @ SY54 @ SV11 ) )
| ( genls @ SY54 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(154,plain,
! [SV24: $i,SV12: $i] :
( ( ~ ( genls @ SV12 @ SV24 )
| ( collection @ SV24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(155,plain,
! [SV25: $i,SV13: $i] :
( ( ~ ( genls @ SV13 @ SV25 )
| ( collection @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(156,plain,
! [SV26: $i,SV14: $i] :
( ( ! [SY55: $i] :
( ~ ~ ( ~ ( genls @ SV14 @ SV26 )
| ~ ( genls @ SV26 @ SY55 ) )
| ( genls @ SV14 @ SY55 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(157,plain,
! [SV15: $i] :
( ( ( ~ ( isa @ SV15 @ c_tptpcol_15_30970 ) )
= $true )
| ( ( tptpcol_15_30970 @ SV15 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(158,plain,
! [SV27: $i,SV16: $i] :
( ( ! [SY56: $i] :
( ~ ~ ( ~ ( isa @ SV16 @ SV27 )
| ~ ( genls @ SV27 @ SY56 ) )
| ( isa @ SV16 @ SY56 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(159,plain,
! [SV28: $i,SV17: $i] :
( ( ~ ~ ( ~ ( mtvisible @ SV17 )
| ~ ( genlmt @ SV17 @ SV28 ) )
| ( mtvisible @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(160,plain,
! [SV29: $i,SV18: $i,SV1: $i] :
( ( ~ ~ ( ~ ( disjointwith @ SV1 @ SV18 )
| ~ ( genls @ SV29 @ SV1 ) )
| ( disjointwith @ SV29 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(161,plain,
! [SV2: $i] :
( ( ( tptpcol_16_30972 @ SV2 )
= $false )
| ( ( isa @ SV2 @ c_tptpcol_16_30972 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(162,plain,
! [SV19: $i,SV3: $i] :
( ( ( ~ ( genls @ SV3 @ SV19 ) )
= $true )
| ( ( collection @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(163,plain,
! [SV20: $i,SV4: $i] :
( ( ( ~ ( genls @ SV4 @ SV20 ) )
= $true )
| ( ( collection @ SV20 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(164,plain,
! [SV5: $i] :
( ( ( collection @ SV5 )
= $false )
| ( ( genls @ SV5 @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(165,plain,
! [SV30: $i,SV21: $i,SV6: $i] :
( ( ~ ~ ( ~ ( genls @ SV6 @ SV21 )
| ~ ( genls @ SV21 @ SV30 ) )
| ( genls @ SV6 @ SV30 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(166,plain,
! [SV7: $i] :
( ( ( isa @ SV7 @ c_tptpcol_16_30972 )
= $false )
| ( ( tptpcol_16_30972 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(167,plain,
! [SV31: $i,SV22: $i,SV8: $i] :
( ( ~ ~ ( ~ ( disjointwith @ SV8 @ SV22 )
| ~ ( genls @ SV31 @ SV22 ) )
| ( disjointwith @ SV8 @ SV31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(168,plain,
! [SV9: $i] :
( ( ( tptpcol_15_30970 @ SV9 )
= $false )
| ( ( isa @ SV9 @ c_tptpcol_15_30970 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[151]) ).
thf(169,plain,
! [SV10: $i] :
( ( ( collection @ SV10 )
= $false )
| ( ( genls @ SV10 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(170,plain,
! [SV32: $i,SV23: $i,SV11: $i] :
( ( ~ ~ ( ~ ( genls @ SV11 @ SV23 )
| ~ ( genls @ SV32 @ SV11 ) )
| ( genls @ SV32 @ SV23 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(171,plain,
! [SV24: $i,SV12: $i] :
( ( ( ~ ( genls @ SV12 @ SV24 ) )
= $true )
| ( ( collection @ SV24 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(172,plain,
! [SV25: $i,SV13: $i] :
( ( ( ~ ( genls @ SV13 @ SV25 ) )
= $true )
| ( ( collection @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(173,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ~ ~ ( ~ ( genls @ SV14 @ SV26 )
| ~ ( genls @ SV26 @ SV33 ) )
| ( genls @ SV14 @ SV33 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(174,plain,
! [SV15: $i] :
( ( ( isa @ SV15 @ c_tptpcol_15_30970 )
= $false )
| ( ( tptpcol_15_30970 @ SV15 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(175,plain,
! [SV34: $i,SV27: $i,SV16: $i] :
( ( ~ ~ ( ~ ( isa @ SV16 @ SV27 )
| ~ ( genls @ SV27 @ SV34 ) )
| ( isa @ SV16 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(176,plain,
! [SV28: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( mtvisible @ SV17 )
| ~ ( genlmt @ SV17 @ SV28 ) ) )
= $true )
| ( ( mtvisible @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[159]) ).
thf(177,plain,
! [SV29: $i,SV18: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( disjointwith @ SV1 @ SV18 )
| ~ ( genls @ SV29 @ SV1 ) ) )
= $true )
| ( ( disjointwith @ SV29 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(178,plain,
! [SV19: $i,SV3: $i] :
( ( ( genls @ SV3 @ SV19 )
= $false )
| ( ( collection @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(179,plain,
! [SV20: $i,SV4: $i] :
( ( ( genls @ SV4 @ SV20 )
= $false )
| ( ( collection @ SV20 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(180,plain,
! [SV30: $i,SV21: $i,SV6: $i] :
( ( ( ~ ~ ( ~ ( genls @ SV6 @ SV21 )
| ~ ( genls @ SV21 @ SV30 ) ) )
= $true )
| ( ( genls @ SV6 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(181,plain,
! [SV31: $i,SV22: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( disjointwith @ SV8 @ SV22 )
| ~ ( genls @ SV31 @ SV22 ) ) )
= $true )
| ( ( disjointwith @ SV8 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(182,plain,
! [SV32: $i,SV23: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( genls @ SV11 @ SV23 )
| ~ ( genls @ SV32 @ SV11 ) ) )
= $true )
| ( ( genls @ SV32 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(183,plain,
! [SV24: $i,SV12: $i] :
( ( ( genls @ SV12 @ SV24 )
= $false )
| ( ( collection @ SV24 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(184,plain,
! [SV25: $i,SV13: $i] :
( ( ( genls @ SV13 @ SV25 )
= $false )
| ( ( collection @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(185,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( genls @ SV14 @ SV26 )
| ~ ( genls @ SV26 @ SV33 ) ) )
= $true )
| ( ( genls @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[173]) ).
thf(186,plain,
! [SV34: $i,SV27: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( isa @ SV16 @ SV27 )
| ~ ( genls @ SV27 @ SV34 ) ) )
= $true )
| ( ( isa @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(187,plain,
! [SV28: $i,SV17: $i] :
( ( ( ~ ( ~ ( mtvisible @ SV17 )
| ~ ( genlmt @ SV17 @ SV28 ) ) )
= $false )
| ( ( mtvisible @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(188,plain,
! [SV29: $i,SV18: $i,SV1: $i] :
( ( ( ~ ( ~ ( disjointwith @ SV1 @ SV18 )
| ~ ( genls @ SV29 @ SV1 ) ) )
= $false )
| ( ( disjointwith @ SV29 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(189,plain,
! [SV30: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( ~ ( genls @ SV6 @ SV21 )
| ~ ( genls @ SV21 @ SV30 ) ) )
= $false )
| ( ( genls @ SV6 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(190,plain,
! [SV31: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( ~ ( disjointwith @ SV8 @ SV22 )
| ~ ( genls @ SV31 @ SV22 ) ) )
= $false )
| ( ( disjointwith @ SV8 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[181]) ).
thf(191,plain,
! [SV32: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( ~ ( genls @ SV11 @ SV23 )
| ~ ( genls @ SV32 @ SV11 ) ) )
= $false )
| ( ( genls @ SV32 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(192,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( ~ ( genls @ SV14 @ SV26 )
| ~ ( genls @ SV26 @ SV33 ) ) )
= $false )
| ( ( genls @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[185]) ).
thf(193,plain,
! [SV34: $i,SV27: $i,SV16: $i] :
( ( ( ~ ( ~ ( isa @ SV16 @ SV27 )
| ~ ( genls @ SV27 @ SV34 ) ) )
= $false )
| ( ( isa @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(194,plain,
! [SV28: $i,SV17: $i] :
( ( ( ~ ( mtvisible @ SV17 )
| ~ ( genlmt @ SV17 @ SV28 ) )
= $true )
| ( ( mtvisible @ SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(195,plain,
! [SV29: $i,SV18: $i,SV1: $i] :
( ( ( ~ ( disjointwith @ SV1 @ SV18 )
| ~ ( genls @ SV29 @ SV1 ) )
= $true )
| ( ( disjointwith @ SV29 @ SV18 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(196,plain,
! [SV30: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( genls @ SV6 @ SV21 )
| ~ ( genls @ SV21 @ SV30 ) )
= $true )
| ( ( genls @ SV6 @ SV30 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[189]) ).
thf(197,plain,
! [SV31: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( disjointwith @ SV8 @ SV22 )
| ~ ( genls @ SV31 @ SV22 ) )
= $true )
| ( ( disjointwith @ SV8 @ SV31 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(198,plain,
! [SV32: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( genls @ SV11 @ SV23 )
| ~ ( genls @ SV32 @ SV11 ) )
= $true )
| ( ( genls @ SV32 @ SV23 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(199,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( genls @ SV14 @ SV26 )
| ~ ( genls @ SV26 @ SV33 ) )
= $true )
| ( ( genls @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[192]) ).
thf(200,plain,
! [SV34: $i,SV27: $i,SV16: $i] :
( ( ( ~ ( isa @ SV16 @ SV27 )
| ~ ( genls @ SV27 @ SV34 ) )
= $true )
| ( ( isa @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(201,plain,
! [SV28: $i,SV17: $i] :
( ( ( ~ ( mtvisible @ SV17 ) )
= $true )
| ( ( ~ ( genlmt @ SV17 @ SV28 ) )
= $true )
| ( ( mtvisible @ SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(202,plain,
! [SV29: $i,SV18: $i,SV1: $i] :
( ( ( ~ ( disjointwith @ SV1 @ SV18 ) )
= $true )
| ( ( ~ ( genls @ SV29 @ SV1 ) )
= $true )
| ( ( disjointwith @ SV29 @ SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[195]) ).
thf(203,plain,
! [SV30: $i,SV21: $i,SV6: $i] :
( ( ( ~ ( genls @ SV6 @ SV21 ) )
= $true )
| ( ( ~ ( genls @ SV21 @ SV30 ) )
= $true )
| ( ( genls @ SV6 @ SV30 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[196]) ).
thf(204,plain,
! [SV31: $i,SV22: $i,SV8: $i] :
( ( ( ~ ( disjointwith @ SV8 @ SV22 ) )
= $true )
| ( ( ~ ( genls @ SV31 @ SV22 ) )
= $true )
| ( ( disjointwith @ SV8 @ SV31 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[197]) ).
thf(205,plain,
! [SV32: $i,SV23: $i,SV11: $i] :
( ( ( ~ ( genls @ SV11 @ SV23 ) )
= $true )
| ( ( ~ ( genls @ SV32 @ SV11 ) )
= $true )
| ( ( genls @ SV32 @ SV23 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(206,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ( ~ ( genls @ SV14 @ SV26 ) )
= $true )
| ( ( ~ ( genls @ SV26 @ SV33 ) )
= $true )
| ( ( genls @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV34: $i,SV27: $i,SV16: $i] :
( ( ( ~ ( isa @ SV16 @ SV27 ) )
= $true )
| ( ( ~ ( genls @ SV27 @ SV34 ) )
= $true )
| ( ( isa @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[200]) ).
thf(208,plain,
! [SV28: $i,SV17: $i] :
( ( ( mtvisible @ SV17 )
= $false )
| ( ( ~ ( genlmt @ SV17 @ SV28 ) )
= $true )
| ( ( mtvisible @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(209,plain,
! [SV29: $i,SV18: $i,SV1: $i] :
( ( ( disjointwith @ SV1 @ SV18 )
= $false )
| ( ( ~ ( genls @ SV29 @ SV1 ) )
= $true )
| ( ( disjointwith @ SV29 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(210,plain,
! [SV30: $i,SV21: $i,SV6: $i] :
( ( ( genls @ SV6 @ SV21 )
= $false )
| ( ( ~ ( genls @ SV21 @ SV30 ) )
= $true )
| ( ( genls @ SV6 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[203]) ).
thf(211,plain,
! [SV31: $i,SV22: $i,SV8: $i] :
( ( ( disjointwith @ SV8 @ SV22 )
= $false )
| ( ( ~ ( genls @ SV31 @ SV22 ) )
= $true )
| ( ( disjointwith @ SV8 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(212,plain,
! [SV32: $i,SV23: $i,SV11: $i] :
( ( ( genls @ SV11 @ SV23 )
= $false )
| ( ( ~ ( genls @ SV32 @ SV11 ) )
= $true )
| ( ( genls @ SV32 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(213,plain,
! [SV33: $i,SV26: $i,SV14: $i] :
( ( ( genls @ SV14 @ SV26 )
= $false )
| ( ( ~ ( genls @ SV26 @ SV33 ) )
= $true )
| ( ( genls @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[206]) ).
thf(214,plain,
! [SV34: $i,SV27: $i,SV16: $i] :
( ( ( isa @ SV16 @ SV27 )
= $false )
| ( ( ~ ( genls @ SV27 @ SV34 ) )
= $true )
| ( ( isa @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(215,plain,
! [SV28: $i,SV17: $i] :
( ( ( genlmt @ SV17 @ SV28 )
= $false )
| ( ( mtvisible @ SV17 )
= $false )
| ( ( mtvisible @ SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(216,plain,
! [SV18: $i,SV1: $i,SV29: $i] :
( ( ( genls @ SV29 @ SV1 )
= $false )
| ( ( disjointwith @ SV1 @ SV18 )
= $false )
| ( ( disjointwith @ SV29 @ SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[209]) ).
thf(217,plain,
! [SV6: $i,SV30: $i,SV21: $i] :
( ( ( genls @ SV21 @ SV30 )
= $false )
| ( ( genls @ SV6 @ SV21 )
= $false )
| ( ( genls @ SV6 @ SV30 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[210]) ).
thf(218,plain,
! [SV8: $i,SV22: $i,SV31: $i] :
( ( ( genls @ SV31 @ SV22 )
= $false )
| ( ( disjointwith @ SV8 @ SV22 )
= $false )
| ( ( disjointwith @ SV8 @ SV31 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[211]) ).
thf(219,plain,
! [SV23: $i,SV11: $i,SV32: $i] :
( ( ( genls @ SV32 @ SV11 )
= $false )
| ( ( genls @ SV11 @ SV23 )
= $false )
| ( ( genls @ SV32 @ SV23 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[212]) ).
thf(220,plain,
! [SV14: $i,SV33: $i,SV26: $i] :
( ( ( genls @ SV26 @ SV33 )
= $false )
| ( ( genls @ SV14 @ SV26 )
= $false )
| ( ( genls @ SV14 @ SV33 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(221,plain,
! [SV16: $i,SV34: $i,SV27: $i] :
( ( ( genls @ SV27 @ SV34 )
= $false )
| ( ( isa @ SV16 @ SV27 )
= $false )
| ( ( isa @ SV16 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(222,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[85,221,220,219,218,217,216,215,184,183,179,178,174,169,168,166,164,161,125,106,105,102,86]) ).
thf(223,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR043+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n001.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 18:49:40 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26
% 0.09/0.26 No.of.Axioms: 21
% 0.09/0.26
% 0.09/0.26 Length.of.Defs: 0
% 0.09/0.26
% 0.09/0.26 Contains.Choice.Funs: false
% 0.09/0.26 ....
% 0.09/0.26
% 0.09/0.26 ********************************
% 0.09/0.26 * All subproblems solved! *
% 0.09/0.26 ********************************
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:222,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.26
% 0.09/0.26 %**** Beginning of derivation protocol ****
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26
% 0.09/0.26 %**** End of derivation protocol ****
% 0.09/0.26 %**** no. of clauses in derivation: 187 ****
% 0.09/0.26 %**** clause counter: 222 ****
% 0.09/0.26
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:22,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:222,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------