%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO178^5 : TPTP v9.3.1. Released v4.0.0.
% 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:45 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 1
% Syntax : Number of formulae : 162 ( 93 unt; 0 typ; 0 def)
% Number of atoms : 2666 ( 309 equ; 0 cnn)
% Maximal formula atoms : 58 ( 16 avg)
% Number of connectives : 4150 (2264 ~;1784 |; 102 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 13 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cB,type,
cB: $o ).
thf(tp_cC,type,
cC: $o ).
thf(tp_cE,type,
cE: $o ).
thf(tp_cF,type,
cF: $o ).
thf(tp_cG,type,
cG: $o ).
thf(tp_cK,type,
cK: $o ).
thf(tp_cL,type,
cL: $o ).
thf(tp_cM,type,
cM: $o ).
thf(tp_cN,type,
cN: $o ).
thf(tp_cP,type,
cP: $o ).
thf(tp_cR,type,
cR: $o ).
thf(1,conjecture,
~ ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPORKCHOP1C) ).
thf(2,negated_conjecture,
( ( ~ ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( cL
& cE
& ( ~ cF
| cB )
& ( ~ cL
| ~ cP
| cM )
& ( ~ cG
| cR
| cM )
& ( cG
| cP
| cR )
& ( ~ cK
| ~ cB
| cC )
& ( ~ cL
| ~ cM
| cC )
& ( cG
| cR
| cK )
& ( ~ cR
| ~ cE
| ~ cC )
& ( ~ cR
| cN
| cF
| cP )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( ~ cG
| cK
| cM
| ~ cB )
& ( ~ cN
| cP
| cF
| cC )
& ( ~ cG
| ~ cB
| cR
| ~ cC )
& ( cK
| ~ cN
| ~ cM
| cF )
& ( ~ cR
| cK
| cM
| cG )
& ( ~ cE
| cK
| ~ cG
| cN
| ~ cM ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( cE
& cL
& ( ~ cF
| cB )
& ( cM
| ~ cL
| ~ cP )
& ( cM
| ~ cG
| cR )
& ( cR
| cG
| cP )
& ( cC
| ~ cK
| ~ cB )
& ( cC
| ~ cL
| ~ cM )
& ( cK
| cG
| cR )
& ( ~ cR
| ~ cE
| ~ cC )
& ( cP
| cF
| ~ cR
| cN )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( cM
| ~ cG
| cK
| ~ cB )
& ( cC
| cF
| ~ cN
| cP )
& ( cR
| ~ cG
| ~ cB
| ~ cC )
& ( cF
| cK
| ~ cN
| ~ cM )
& ( cG
| cM
| ~ cR
| cK )
& ( cN
| ~ cE
| cK
| ~ cG
| ~ cM ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( cE
& cL
& ( ~ cF
| cB )
& ( cM
| ~ cL
| ~ cP )
& ( cM
| ~ cG
| cR )
& ( cR
| cG
| cP )
& ( cC
| ~ cK
| ~ cB )
& ( cC
| ~ cL
| ~ cM )
& ( cK
| cG
| cR )
& ( ~ cR
| ~ cE
| ~ cC )
& ( cP
| cF
| ~ cR
| cN )
& ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
& ( cM
| ~ cG
| cK
| ~ cB )
& ( cC
| cF
| ~ cN
| cP )
& ( cR
| ~ cG
| ~ cB
| ~ cC )
& ( cF
| cK
| ~ cN
| ~ cM )
& ( cG
| cM
| ~ cR
| cK )
& ( cN
| ~ cE
| cK
| ~ cG
| ~ cM ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) )
| ~ ( cG
| cM
| ~ cR
| cK ) )
| ~ ( cN
| ~ cE
| cK
| ~ cG
| ~ cM ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) )
| ~ ( cG
| cM
| ~ cR
| cK ) )
| ~ ( cN
| ~ cE
| cK
| ~ cG
| ~ cM ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) )
| ~ ( cG
| cM
| ~ cR
| cK ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ( cN
| ~ cE
| cK
| ~ cG
| ~ cM ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) )
| ~ ( cG
| cM
| ~ cR
| cK ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( cN
| ~ cE
| cK
| ~ cG
| ~ cM )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) )
| ~ ( cG
| cM
| ~ cR
| cK ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ( cN
| ~ cE
| cK
| ~ cG )
= $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( cG
| cM
| ~ cR
| cK ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( cN = $true )
| ( ( ~ cE
| cK
| ~ cG )
= $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( cG
| cM
| ~ cR
| cK )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ( ~ cE
| cK )
= $true )
| ( ( ~ cG ) = $true )
| ( cN = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
| ~ ( cF
| cK
| ~ cN
| ~ cM ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( cG = $true )
| ( ( cM
| ~ cR
| cK )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ~ cE ) = $true )
| ( cK = $true )
| ( ( ~ cG ) = $true )
| ( cN = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ( cF
| cK
| ~ cN
| ~ cM ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(26,plain,
( ( cM = $true )
| ( ( ~ cR
| cK )
= $true )
| ( cG = $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(27,plain,
( ( cE = $false )
| ( cK = $true )
| ( ( ~ cG ) = $true )
| ( cN = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(29,plain,
( ( cF
| cK
| ~ cN
| ~ cM )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(30,plain,
( ( ( ~ cR ) = $true )
| ( cK = $true )
| ( cM = $true )
| ( cG = $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(31,plain,
( ( cG = $false )
| ( cK = $true )
| ( cE = $false )
| ( cN = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
| ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(33,plain,
( ( cF = $true )
| ( ( cK
| ~ cN
| ~ cM )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(34,plain,
( ( cR = $false )
| ( cK = $true )
| ( cM = $true )
| ( cG = $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(35,plain,
( ( cM = $false )
| ( cN = $true )
| ( cE = $false )
| ( cK = $true )
| ( cG = $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(37,plain,
( ( ~ ( cR
| ~ cG
| ~ cB
| ~ cC ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(38,plain,
( ( ( cK
| ~ cN )
= $true )
| ( ( ~ cM ) = $true )
| ( cF = $true ) ),
inference(extcnf_or_pos,[status(thm)],[33]) ).
thf(39,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[36]) ).
thf(40,plain,
( ( cR
| ~ cG
| ~ cB
| ~ cC )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( cK = $true )
| ( ( ~ cN ) = $true )
| ( ( ~ cM ) = $true )
| ( cF = $true ) ),
inference(extcnf_or_pos,[status(thm)],[38]) ).
thf(42,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
| ~ ( cC
| cF
| ~ cN
| cP ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(43,plain,
( ( ( cR
| ~ cG
| ~ cB )
= $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(44,plain,
( ( cN = $false )
| ( cK = $true )
| ( ( ~ cM ) = $true )
| ( cF = $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(45,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(46,plain,
( ( ~ ( cC
| cF
| ~ cN
| cP ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[42]) ).
thf(47,plain,
( ( cR = $true )
| ( ( ~ cG
| ~ cB )
= $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(48,plain,
( ( cM = $false )
| ( cK = $true )
| ( cN = $false )
| ( cF = $true ) ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(49,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
( ( cC
| cF
| ~ cN
| cP )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(51,plain,
( ( ( ~ cG ) = $true )
| ( ( ~ cB ) = $true )
| ( cR = $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(52,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
| ~ ( cM
| ~ cG
| cK
| ~ cB ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(53,plain,
( ( cC = $true )
| ( ( cF
| ~ cN
| cP )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(54,plain,
( ( cG = $false )
| ( ( ~ cB ) = $true )
| ( cR = $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(55,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(56,plain,
( ( ~ ( cM
| ~ cG
| cK
| ~ cB ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[52]) ).
thf(57,plain,
( ( cF = $true )
| ( ( ~ cN
| cP )
= $true )
| ( cC = $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(58,plain,
( ( cB = $false )
| ( cG = $false )
| ( cR = $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(60,plain,
( ( cM
| ~ cG
| cK
| ~ cB )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(61,plain,
( ( ( ~ cN ) = $true )
| ( cP = $true )
| ( cF = $true )
| ( cC = $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
( ( cC = $false )
| ( cR = $true )
| ( cG = $false )
| ( cB = $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(63,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
| ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(64,plain,
( ( ( cM
| ~ cG
| cK )
= $true )
| ( ( ~ cB ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(65,plain,
( ( cN = $false )
| ( cP = $true )
| ( cF = $true )
| ( cC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(67,plain,
( ( ~ ( ~ cK
| ~ cL
| ~ cE
| ~ cM ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[63]) ).
thf(68,plain,
( ( cM = $true )
| ( ( ~ cG
| cK )
= $true )
| ( ( ~ cB ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(69,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[66]) ).
thf(70,plain,
( ( ~ cK
| ~ cL
| ~ cE
| ~ cM )
= $true ),
inference(extcnf_not_neg,[status(thm)],[67]) ).
thf(71,plain,
( ( ( ~ cG ) = $true )
| ( cK = $true )
| ( cM = $true )
| ( ( ~ cB ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(72,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
| ~ ( cP
| cF
| ~ cR
| cN ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[69]) ).
thf(73,plain,
( ( ( ~ cK
| ~ cL
| ~ cE )
= $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(74,plain,
( ( cG = $false )
| ( cK = $true )
| ( cM = $true )
| ( ( ~ cB ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(75,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(76,plain,
( ( ~ ( cP
| cF
| ~ cR
| cN ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(77,plain,
( ( ( ~ cK
| ~ cL )
= $true )
| ( ( ~ cE ) = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(78,plain,
( ( cB = $false )
| ( cM = $true )
| ( cK = $true )
| ( cG = $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(79,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(80,plain,
( ( cP
| cF
| ~ cR
| cN )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(81,plain,
( ( ( ~ cK ) = $true )
| ( ( ~ cL ) = $true )
| ( ( ~ cE ) = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[77]) ).
thf(82,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
| ~ ( ~ cR
| ~ cE
| ~ cC ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(83,plain,
( ( cP = $true )
| ( ( cF
| ~ cR
| cN )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(84,plain,
( ( cK = $false )
| ( ( ~ cL ) = $true )
| ( ( ~ cE ) = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[81]) ).
thf(85,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(86,plain,
( ( ~ ( ~ cR
| ~ cE
| ~ cC ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(87,plain,
( ( cF = $true )
| ( ( ~ cR
| cN )
= $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[83]) ).
thf(88,plain,
( ( cL = $false )
| ( cK = $false )
| ( ( ~ cE ) = $true )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(90,plain,
( ( ~ cR
| ~ cE
| ~ cC )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(91,plain,
( ( ( ~ cR ) = $true )
| ( cN = $true )
| ( cF = $true )
| ( cP = $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(92,plain,
( ( cE = $false )
| ( cK = $false )
| ( cL = $false )
| ( ( ~ cM ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(93,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
| ~ ( cK
| cG
| cR ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[89]) ).
thf(94,plain,
( ( ( ~ cR
| ~ cE )
= $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(95,plain,
( ( cR = $false )
| ( cN = $true )
| ( cF = $true )
| ( cP = $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(96,plain,
( ( cM = $false )
| ( cL = $false )
| ( cK = $false )
| ( cE = $false ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(97,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(98,plain,
( ( ~ ( cK
| cG
| cR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(99,plain,
( ( ( ~ cR ) = $true )
| ( ( ~ cE ) = $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(100,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(101,plain,
( ( cK
| cG
| cR )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(102,plain,
( ( cR = $false )
| ( ( ~ cE ) = $true )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(103,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
| ~ ( cC
| ~ cL
| ~ cM ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(104,plain,
( ( cK = $true )
| ( ( cG
| cR )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(105,plain,
( ( cE = $false )
| ( cR = $false )
| ( ( ~ cC ) = $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(107,plain,
( ( ~ ( cC
| ~ cL
| ~ cM ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[103]) ).
thf(108,plain,
( ( cG = $true )
| ( cR = $true )
| ( cK = $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(109,plain,
( ( cC = $false )
| ( cR = $false )
| ( cE = $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(110,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[106]) ).
thf(111,plain,
( ( cC
| ~ cL
| ~ cM )
= $true ),
inference(extcnf_not_neg,[status(thm)],[107]) ).
thf(112,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
| ~ ( cC
| ~ cK
| ~ cB ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
( ( cC = $true )
| ( ( ~ cL
| ~ cM )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(114,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(115,plain,
( ( ~ ( cC
| ~ cK
| ~ cB ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(116,plain,
( ( ( ~ cL ) = $true )
| ( ( ~ cM ) = $true )
| ( cC = $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(117,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(118,plain,
( ( cC
| ~ cK
| ~ cB )
= $true ),
inference(extcnf_not_neg,[status(thm)],[115]) ).
thf(119,plain,
( ( cL = $false )
| ( ( ~ cM ) = $true )
| ( cC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(120,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
| ~ ( cR
| cG
| cP ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(121,plain,
( ( cC = $true )
| ( ( ~ cK
| ~ cB )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(122,plain,
( ( cM = $false )
| ( cL = $false )
| ( cC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(123,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(124,plain,
( ( ~ ( cR
| cG
| cP ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[120]) ).
thf(125,plain,
( ( ( ~ cK ) = $true )
| ( ( ~ cB ) = $true )
| ( cC = $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(126,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(127,plain,
( ( cR
| cG
| cP )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(128,plain,
( ( cK = $false )
| ( ( ~ cB ) = $true )
| ( cC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(129,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
| ~ ( cM
| ~ cG
| cR ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(130,plain,
( ( cR = $true )
| ( ( cG
| cP )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(131,plain,
( ( cB = $false )
| ( cK = $false )
| ( cC = $true ) ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(132,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(133,plain,
( ( ~ ( cM
| ~ cG
| cR ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[129]) ).
thf(134,plain,
( ( cG = $true )
| ( cP = $true )
| ( cR = $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(135,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[132]) ).
thf(136,plain,
( ( cM
| ~ cG
| cR )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(137,plain,
( ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
| ~ ( cM
| ~ cL
| ~ cP ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(138,plain,
( ( cM = $true )
| ( ( ~ cG
| cR )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[136]) ).
thf(139,plain,
( ( ~ ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(140,plain,
( ( ~ ( cM
| ~ cL
| ~ cP ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(141,plain,
( ( ( ~ cG ) = $true )
| ( cR = $true )
| ( cM = $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(142,plain,
( ( ~ ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(143,plain,
( ( cM
| ~ cL
| ~ cP )
= $true ),
inference(extcnf_not_neg,[status(thm)],[140]) ).
thf(144,plain,
( ( cG = $false )
| ( cR = $true )
| ( cM = $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(145,plain,
( ( ~ ~ ( ~ cE
| ~ cL )
| ~ ( ~ cF
| cB ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(146,plain,
( ( cM = $true )
| ( ( ~ cL
| ~ cP )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(147,plain,
( ( ~ ~ ( ~ cE
| ~ cL ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(148,plain,
( ( ~ ( ~ cF
| cB ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[145]) ).
thf(149,plain,
( ( ( ~ cL ) = $true )
| ( ( ~ cP ) = $true )
| ( cM = $true ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(150,plain,
( ( ~ ( ~ cE
| ~ cL ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[147]) ).
thf(151,plain,
( ( ~ cF
| cB )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(152,plain,
( ( cL = $false )
| ( ( ~ cP ) = $true )
| ( cM = $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(153,plain,
( ( ~ cE
| ~ cL )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(154,plain,
( ( ( ~ cF ) = $true )
| ( cB = $true ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(155,plain,
( ( cP = $false )
| ( cL = $false )
| ( cM = $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(156,plain,
( ( ~ cE ) = $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(157,plain,
( ( ~ cL ) = $false ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(158,plain,
( ( cF = $false )
| ( cB = $true ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(159,plain,
cE = $true,
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(160,plain,
cL = $true,
inference(extcnf_not_neg,[status(thm)],[157]) ).
thf(161,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[34,160,159,158,155,144,134,131,122,109,108,96,95,78,65,62,48,35]) ).
thf(162,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO178^5 : TPTP v9.3.1. Released v4.0.0.
% 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
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Oct 6 17:32:29 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 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: 0
% 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:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:161,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: 162 ****
% 0.09/0.26 %**** clause counter: 161 ****
% 0.09/0.26
% 0.09/0.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:161,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------