TSTP Solution File: PUZ093^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ093^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:19:36 EDT 2022
% Result : Theorem 3.29s 3.76s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 2
% Syntax : Number of formulae : 117 ( 75 unt; 1 typ; 0 def)
% Number of atoms : 1646 (1419 equ; 0 cnn)
% Maximal formula atoms : 32 ( 14 avg)
% Number of connectives : 30500 (1448 ~; 954 |; 98 &;27972 @)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 13 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-13 aty)
% Number of variables : 1372 ( 0 ^1324 !; 48 ?;1372 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_P,type,
sK1_P: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(1,conjecture,
? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
! [P: $i > $i] :
( ( ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xe )
= ( P @ Xhh ) ) )
=> ( ( P @ Xc )
= ( P @ Xdd ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xb )
= ( P @ Xcc ) ) )
=> ( ( P @ Xd )
!= ( P @ Xee ) ) )
& ( ( ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xcc )
= ( P @ Xd ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xa )
!= ( P @ Xbb ) ) )
=> ( ( P @ Xe )
!= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xb )
!= ( P @ Xcc ) ) )
=> ( ( P @ Xe )
= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xe )
= ( P @ Xee ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xc )
= ( P @ Xdd ) ) )
=> ( ( P @ Xa )
!= ( P @ Xbb ) ) )
& ( ( ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xbb )
= ( P @ Xc ) )
& ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xe )
!= ( P @ Xhh ) ) )
=> ( ( P @ Xd )
= ( P @ Xee ) ) ) )
=> ( ( ( P @ Xa )
!= ( P @ Xaa ) )
| ( ( P @ Xb )
!= ( P @ Xbb ) )
| ( ( P @ Xc )
!= ( P @ Xcc ) )
| ( ( P @ Xd )
!= ( P @ Xdd ) )
| ( ( P @ Xe )
!= ( P @ Xee ) )
| ( ( P @ Xh )
!= ( P @ Xhh ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSIXFRIENDS_PTH) ).
thf(2,negated_conjecture,
( ( ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
! [P: $i > $i] :
( ( ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xe )
= ( P @ Xhh ) ) )
=> ( ( P @ Xc )
= ( P @ Xdd ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xb )
= ( P @ Xcc ) ) )
=> ( ( P @ Xd )
!= ( P @ Xee ) ) )
& ( ( ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xcc )
= ( P @ Xd ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xa )
!= ( P @ Xbb ) ) )
=> ( ( P @ Xe )
!= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xb )
!= ( P @ Xcc ) ) )
=> ( ( P @ Xe )
= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xe )
= ( P @ Xee ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xc )
= ( P @ Xdd ) ) )
=> ( ( P @ Xa )
!= ( P @ Xbb ) ) )
& ( ( ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xbb )
= ( P @ Xc ) )
& ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xe )
!= ( P @ Xhh ) ) )
=> ( ( P @ Xd )
= ( P @ Xee ) ) ) )
=> ( ( ( P @ Xa )
!= ( P @ Xaa ) )
| ( ( P @ Xb )
!= ( P @ Xbb ) )
| ( ( P @ Xc )
!= ( P @ Xcc ) )
| ( ( P @ Xd )
!= ( P @ Xdd ) )
| ( ( P @ Xe )
!= ( P @ Xee ) )
| ( ( P @ Xh )
!= ( P @ Xhh ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
! [P: $i > $i] :
( ( ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xe )
= ( P @ Xhh ) ) )
=> ( ( P @ Xc )
= ( P @ Xdd ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xb )
= ( P @ Xcc ) ) )
=> ( ( P @ Xd )
!= ( P @ Xee ) ) )
& ( ( ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xcc )
= ( P @ Xd ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xa )
!= ( P @ Xbb ) ) )
=> ( ( P @ Xe )
!= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xb )
!= ( P @ Xcc ) ) )
=> ( ( P @ Xe )
= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xe )
= ( P @ Xee ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xc )
= ( P @ Xdd ) ) )
=> ( ( P @ Xa )
!= ( P @ Xbb ) ) )
& ( ( ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xbb )
= ( P @ Xc ) )
& ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xe )
!= ( P @ Xhh ) ) )
=> ( ( P @ Xd )
= ( P @ Xee ) ) ) )
=> ( ( ( P @ Xa )
!= ( P @ Xaa ) )
| ( ( P @ Xb )
!= ( P @ Xbb ) )
| ( ( P @ Xc )
!= ( P @ Xcc ) )
| ( ( P @ Xd )
!= ( P @ Xdd ) )
| ( ( P @ Xe )
!= ( P @ Xee ) )
| ( ( P @ Xh )
!= ( P @ Xhh ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
! [P: $i > $i] :
( ( ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xe )
= ( P @ Xhh ) ) )
=> ( ( P @ Xc )
= ( P @ Xdd ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xb )
= ( P @ Xcc ) ) )
=> ( ( P @ Xd )
!= ( P @ Xee ) ) )
& ( ( ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xcc )
= ( P @ Xd ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xa )
!= ( P @ Xbb ) ) )
=> ( ( P @ Xe )
!= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xa )
= ( P @ Xaa ) )
& ( ( P @ Xd )
= ( P @ Xdd ) )
& ( ( P @ Xb )
!= ( P @ Xcc ) ) )
=> ( ( P @ Xe )
= ( P @ Xhh ) ) )
& ( ( ( ( P @ Xe )
= ( P @ Xee ) )
& ( ( P @ Xh )
= ( P @ Xhh ) )
& ( ( P @ Xc )
= ( P @ Xdd ) ) )
=> ( ( P @ Xa )
!= ( P @ Xbb ) ) )
& ( ( ( ( P @ Xb )
= ( P @ Xbb ) )
& ( ( P @ Xbb )
= ( P @ Xc ) )
& ( ( P @ Xc )
= ( P @ Xcc ) )
& ( ( P @ Xe )
!= ( P @ Xhh ) ) )
=> ( ( P @ Xd )
= ( P @ Xee ) ) ) )
=> ( ( ( P @ Xa )
!= ( P @ Xaa ) )
| ( ( P @ Xb )
!= ( P @ Xbb ) )
| ( ( P @ Xc )
!= ( P @ Xcc ) )
| ( ( P @ Xd )
!= ( P @ Xdd ) )
| ( ( P @ Xe )
!= ( P @ Xee ) )
| ( ( P @ Xh )
!= ( P @ Xhh ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
( ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xh )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xh )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xh )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [Xa: $i,Xaa: $i,Xb: $i,Xbb: $i,Xc: $i,Xcc: $i,Xd: $i,Xdd: $i,Xe: $i,Xee: $i,Xh: $i,Xhh: $i] :
( ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xh )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xh )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) ) )
& ( ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
!= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
| ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xh )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xhh ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xe )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xee ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xd )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xdd ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xc )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xcc ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xa )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xaa ) )
& ( ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xb )
= ( sK1_P @ Xhh @ Xh @ Xee @ Xe @ Xdd @ Xd @ Xcc @ Xc @ Xbb @ Xb @ Xaa @ Xa @ Xbb ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i,SX11: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX0 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX1 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX2 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX3 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX8 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX4 )
= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX7 ) ) )
| ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX0 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX1 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX10 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX2 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX5 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX6 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX9 ) ) ) )
| ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX0 )
= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX3 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX4 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX5 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX5 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX6 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX6 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX7 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX8 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) ) ) )
| ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX2 )
= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX5 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX0 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX1 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX6 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX7 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX8 )
= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) ) ) )
| ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX8 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX9 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX10 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX4 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX7 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX0 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX3 ) ) ) )
| ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX8 )
= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX2 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX3 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX3 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX4 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX4 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX5 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX6 )
= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX9 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX10 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX11 ) )
| ~ ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX8 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX9 ) )
| ~ ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX6 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX7 ) )
| ~ ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX4 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX5 ) )
| ~ ~ ( ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX0 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX1 ) )
| ( ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX2 )
!= ( sK1_P @ SX11 @ SX10 @ SX9 @ SX8 @ SX7 @ SX6 @ SX5 @ SX4 @ SX3 @ SX2 @ SX1 @ SX0 @ SX3 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: $i] :
( ( ! [SY13: $i,SY14: $i,SY15: $i,SY16: $i,SY17: $i,SY18: $i,SY19: $i,SY20: $i,SY21: $i,SY22: $i,SY23: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SV1 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY13 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY14 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY15 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY20 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY16 )
= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY19 ) ) )
| ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SV1 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY13 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY22 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY14 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY17 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY18 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY21 ) ) ) )
| ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SV1 )
= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY15 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY16 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY17 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY17 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY18 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY18 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY19 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY20 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) ) ) )
| ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY14 )
= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY17 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SV1 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY13 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY18 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY19 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY20 )
= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) ) ) )
| ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY20 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY21 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY22 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY16 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY19 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SV1 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY15 ) ) ) )
| ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY20 )
= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY14 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY15 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY15 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY16 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY16 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY17 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY18 )
= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY21 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY22 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY23 ) )
| ~ ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY20 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY21 ) )
| ~ ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY18 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY19 ) )
| ~ ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY16 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY17 ) )
| ~ ~ ( ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SV1 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY13 ) )
| ( ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY14 )
!= ( sK1_P @ SY23 @ SY22 @ SY21 @ SY20 @ SY19 @ SY18 @ SY17 @ SY16 @ SY15 @ SY14 @ SY13 @ SV1 @ SY15 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: $i,SV2: $i] :
( ( ! [SY24: $i,SY25: $i,SY26: $i,SY27: $i,SY28: $i,SY29: $i,SY30: $i,SY31: $i,SY32: $i,SY33: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY24 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY25 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY30 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY26 )
= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY29 ) ) )
| ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY32 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY24 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY27 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY28 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY31 ) ) ) )
| ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY25 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY26 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY27 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY27 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY28 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY28 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY29 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY30 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) ) ) )
| ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY24 )
= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY27 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY28 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY29 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY30 )
= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) ) ) )
| ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY30 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY31 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY32 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY26 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY29 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY25 ) ) ) )
| ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY30 )
= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY24 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY25 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY25 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY26 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY26 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY27 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY28 )
= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY31 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY32 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY33 ) )
| ~ ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY30 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY31 ) )
| ~ ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY28 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY29 ) )
| ~ ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY26 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY27 ) )
| ~ ~ ( ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY24 )
!= ( sK1_P @ SY33 @ SY32 @ SY31 @ SY30 @ SY29 @ SY28 @ SY27 @ SY26 @ SY25 @ SY24 @ SV2 @ SV1 @ SY25 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i,SV2: $i,SV3: $i] :
( ( ! [SY34: $i,SY35: $i,SY36: $i,SY37: $i,SY38: $i,SY39: $i,SY40: $i,SY41: $i,SY42: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY34 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY39 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY35 )
= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY38 ) ) )
| ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY41 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY36 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY37 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY40 ) ) ) )
| ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY34 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY35 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY36 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY36 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY37 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY37 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY38 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY39 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) ) ) )
| ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY36 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY37 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY38 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY39 )
= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) ) ) )
| ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY39 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY40 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY41 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY35 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY38 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY34 ) ) ) )
| ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY39 )
= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY34 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY34 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY35 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY35 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY36 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY37 )
= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY40 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY41 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY42 ) )
| ~ ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY39 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY40 ) )
| ~ ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY37 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY38 ) )
| ~ ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY35 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY36 ) )
| ~ ~ ( ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY42 @ SY41 @ SY40 @ SY39 @ SY38 @ SY37 @ SY36 @ SY35 @ SY34 @ SV3 @ SV2 @ SV1 @ SY34 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i] :
( ( ! [SY43: $i,SY44: $i,SY45: $i,SY46: $i,SY47: $i,SY48: $i,SY49: $i,SY50: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY47 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY43 )
= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY46 ) ) )
| ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY49 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY44 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY45 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY48 ) ) ) )
| ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY43 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY44 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY44 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY45 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY45 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY46 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY47 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) ) ) )
| ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY44 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY45 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY46 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY47 )
= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) ) ) )
| ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY47 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY48 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY49 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY43 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY46 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY47 )
= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY43 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY43 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY44 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY45 )
= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY48 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY49 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY50 ) )
| ~ ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY47 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY48 ) )
| ~ ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY45 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY46 ) )
| ~ ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY43 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SY44 ) )
| ~ ~ ( ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY50 @ SY49 @ SY48 @ SY47 @ SY46 @ SY45 @ SY44 @ SY43 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i] :
( ( ! [SY51: $i,SY52: $i,SY53: $i,SY54: $i,SY55: $i,SY56: $i,SY57: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY54 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY53 ) ) )
| ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY56 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY51 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY52 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY55 ) ) ) )
| ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY51 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY51 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY52 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY52 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY53 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY54 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) ) ) )
| ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY51 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY52 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY53 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY54 )
= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) ) ) )
| ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY54 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY55 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY56 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY53 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY54 )
= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY51 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY52 )
= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY55 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY56 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY57 ) )
| ~ ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY54 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY55 ) )
| ~ ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY52 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY53 ) )
| ~ ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY51 ) )
| ~ ~ ( ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY57 @ SY56 @ SY55 @ SY54 @ SY53 @ SY52 @ SY51 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(13,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i] :
( ( ! [SY58: $i,SY59: $i,SY60: $i,SY61: $i,SY62: $i,SY63: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY60 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY59 ) ) )
| ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY62 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY58 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY61 ) ) ) )
| ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY58 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY58 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY59 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY60 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) ) ) )
| ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY58 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY59 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY60 )
= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) ) ) )
| ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY60 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY61 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY62 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY59 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY60 )
= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY58 )
= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY61 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY62 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY63 ) )
| ~ ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY60 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY61 ) )
| ~ ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY58 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY59 ) )
| ~ ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY63 @ SY62 @ SY61 @ SY60 @ SY59 @ SY58 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i] :
( ( ! [SY64: $i,SY65: $i,SY66: $i,SY67: $i,SY68: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY65 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY64 ) ) )
| ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY67 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY66 ) ) ) )
| ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY64 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY65 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) ) ) )
| ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY64 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY65 )
= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) ) ) )
| ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY65 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY66 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY67 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY64 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY65 )
= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY66 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY67 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY68 ) )
| ~ ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY65 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY66 ) )
| ~ ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY64 ) )
| ~ ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY68 @ SY67 @ SY66 @ SY65 @ SY64 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(15,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i] :
( ( ! [SY69: $i,SY70: $i,SY71: $i,SY72: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY69 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY71 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY70 ) ) ) )
| ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY69 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) ) ) )
| ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY69 )
= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) ) ) )
| ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY69 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY70 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY71 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY69 )
= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY70 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY71 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY72 ) )
| ~ ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY69 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY70 ) )
| ~ ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY72 @ SY71 @ SY70 @ SY69 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(16,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i] :
( ( ! [SY73: $i,SY74: $i,SY75: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY74 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY73 ) ) ) )
| ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) ) ) )
| ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) ) ) )
| ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY73 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY74 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY73 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY74 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY75 ) )
| ~ ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY73 ) )
| ~ ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY75 @ SY74 @ SY73 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i] :
( ( ! [SY76: $i,SY77: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY76 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) ) ) )
| ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) ) ) )
| ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY76 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY76 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY77 ) )
| ~ ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY77 @ SY76 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i] :
( ( ! [SY78: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) ) ) )
| ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) ) ) )
| ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SY78 ) )
| ~ ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SY78 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(22,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(31,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(32,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(36,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(39,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[35]) ).
thf(40,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[36]) ).
thf(41,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(42,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[37]) ).
thf(43,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(44,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(45,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(46,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(49,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(50,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[45]) ).
thf(51,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(52,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(53,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[48]) ).
thf(54,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(57,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(58,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(59,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[53]) ).
thf(60,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(61,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(62,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(63,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(64,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(65,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(66,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(67,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(70,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(71,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(72,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(73,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(74,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(75,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(76,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(77,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[71]) ).
thf(78,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(79,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(80,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(81,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
| ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(82,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[76]) ).
thf(83,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(84,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(85,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(86,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(87,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ~ ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[81]) ).
thf(88,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(89,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(90,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(91,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[85]) ).
thf(92,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[86]) ).
thf(93,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[87]) ).
thf(94,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(95,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[91]) ).
thf(97,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(98,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[93]) ).
thf(99,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[94]) ).
thf(100,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(101,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
| ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(102,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(103,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[100]) ).
thf(104,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(105,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[102]) ).
thf(106,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(107,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(108,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(109,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(110,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) ) )
= $true )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $true )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(112,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV9 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV4 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV5 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(113,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
!= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(114,plain,
! [SV1: $i,SV2: $i,SV3: $i,SV4: $i,SV5: $i,SV6: $i,SV7: $i,SV8: $i,SV9: $i,SV10: $i,SV11: $i,SV12: $i] :
( ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV7 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV10 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV11 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV12 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV1 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV2 ) )
= $false )
| ( ( ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV3 )
= ( sK1_P @ SV12 @ SV11 @ SV10 @ SV9 @ SV8 @ SV7 @ SV6 @ SV5 @ SV4 @ SV3 @ SV2 @ SV1 @ SV6 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[113]) ).
thf(115,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,114,112,111,96,95,89,84,79,67,62,46]) ).
thf(116,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ093^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat May 28 20:48:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.43
% 0.20/0.43 No.of.Axioms: 0
% 0.20/0.43
% 0.20/0.43 Length.of.Defs: 0
% 0.20/0.43
% 0.20/0.43 Contains.Choice.Funs: false
% 0.20/0.49 (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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full)........................................................................
% 3.29/3.76
% 3.29/3.76 ********************************
% 3.29/3.76 * All subproblems solved! *
% 3.29/3.76 ********************************
% 3.29/3.76 % 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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:115,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.62/3.78
% 3.62/3.78 %**** Beginning of derivation protocol ****
% 3.62/3.78 % SZS output start CNFRefutation
% See solution above
% 3.62/3.78
% 3.62/3.78 %**** End of derivation protocol ****
% 3.62/3.78 %**** no. of clauses in derivation: 116 ****
% 3.62/3.78 %**** clause counter: 115 ****
% 3.62/3.78
% 3.62/3.78 % 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:10,ordering:none,proof_output:1,protocol_output:false,clause_count:115,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------