%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU999^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:21 AM UTC 2026
% Result : Theorem 3.51s 0.86s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 112
% Number of leaves : 1
% Syntax : Number of formulae : 218 ( 217 unt; 0 typ; 0 def)
% Number of atoms : 2609 (2391 equ; 0 cnn)
% Maximal formula atoms : 39 ( 11 avg)
% Number of connectives : 10847 (6240 ~;1711 |; 238 &;2648 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 7 con; 0-2 aty)
% Number of variables : 263 ( 0 ^; 228 !; 35 ?; 263 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_JOIN,type,
sK1_JOIN: a > a > a ).
thf(tp_sK2_SY26,type,
sK2_SY26: a > a > a ).
thf(tp_sK3_SX0,type,
sK3_SX0: a ).
thf(tp_sK4_SY88,type,
sK4_SY88: a ).
thf(tp_sK5_SY92,type,
sK5_SY92: a ).
thf(tp_sK6_SY95,type,
sK6_SY95: a ).
thf(tp_sK7_SY97,type,
sK7_SY97: a ).
thf(1,conjecture,
! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy ) )
=> ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
( ( Xa != Xb )
& ( Xa != Xc )
& ( Xa != Xx )
& ( Xa != Xy )
& ( Xb != Xc )
& ( Xb != Xx )
& ( Xb != Xy )
& ( Xc != Xx )
& ( Xc != Xy )
& ( Xx != Xy )
& ( ( MEET @ Xx @ Xy )
= Xy )
& ( ( JOIN @ Xx @ Xy )
= Xx )
& ( ( MEET @ Xx @ Xa )
= Xa )
& ( ( JOIN @ Xx @ Xa )
= Xx )
& ( ( MEET @ Xx @ Xb )
= Xb )
& ( ( JOIN @ Xx @ Xb )
= Xx )
& ( ( MEET @ Xx @ Xc )
= Xc )
& ( ( JOIN @ Xx @ Xc )
= Xx )
& ( ( MEET @ Xa @ Xb )
= Xy )
& ( ( JOIN @ Xa @ Xb )
= Xx )
& ( ( MEET @ Xa @ Xc )
= Xa )
& ( ( JOIN @ Xa @ Xc )
= Xc )
& ( ( MEET @ Xa @ Xy )
= Xy )
& ( ( JOIN @ Xa @ Xy )
= Xa )
& ( ( MEET @ Xb @ Xc )
= Xy )
& ( ( JOIN @ Xb @ Xc )
= Xx )
& ( ( MEET @ Xb @ Xy )
= Xy )
& ( ( JOIN @ Xb @ Xy )
= Xb )
& ( ( MEET @ Xc @ Xy )
= Xy )
& ( ( JOIN @ Xc @ Xy )
= Xc ) )
=> ~ ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cPENTAGON_THM2B_pme) ).
thf(2,negated_conjecture,
( ( ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy ) )
=> ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
( ( Xa != Xb )
& ( Xa != Xc )
& ( Xa != Xx )
& ( Xa != Xy )
& ( Xb != Xc )
& ( Xb != Xx )
& ( Xb != Xy )
& ( Xc != Xx )
& ( Xc != Xy )
& ( Xx != Xy )
& ( ( MEET @ Xx @ Xy )
= Xy )
& ( ( JOIN @ Xx @ Xy )
= Xx )
& ( ( MEET @ Xx @ Xa )
= Xa )
& ( ( JOIN @ Xx @ Xa )
= Xx )
& ( ( MEET @ Xx @ Xb )
= Xb )
& ( ( JOIN @ Xx @ Xb )
= Xx )
& ( ( MEET @ Xx @ Xc )
= Xc )
& ( ( JOIN @ Xx @ Xc )
= Xx )
& ( ( MEET @ Xa @ Xb )
= Xy )
& ( ( JOIN @ Xa @ Xb )
= Xx )
& ( ( MEET @ Xa @ Xc )
= Xa )
& ( ( JOIN @ Xa @ Xc )
= Xc )
& ( ( MEET @ Xa @ Xy )
= Xy )
& ( ( JOIN @ Xa @ Xy )
= Xa )
& ( ( MEET @ Xb @ Xc )
= Xy )
& ( ( JOIN @ Xb @ Xc )
= Xx )
& ( ( MEET @ Xb @ Xy )
= Xy )
& ( ( JOIN @ Xb @ Xy )
= Xb )
& ( ( MEET @ Xc @ Xy )
= Xy )
& ( ( JOIN @ Xc @ Xy )
= Xc ) )
=> ~ ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [JOIN: a > a > a,MEET: a > a > a] :
( ( ! [Xx: a] :
( ( JOIN @ Xx @ Xx )
= Xx )
& ! [Xx: a] :
( ( MEET @ Xx @ Xx )
= Xx )
& ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
= ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
= ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ Xx @ Xy )
= ( JOIN @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( MEET @ Xx @ Xy )
= ( MEET @ Xy @ Xx ) )
& ! [Xx: a,Xy: a] :
( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
= Xy )
& ! [Xx: a,Xy: a] :
( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
= Xy ) )
=> ( ? [Xx: a,Xy: a,Xa: a,Xb: a,Xc: a] :
( ( Xa != Xb )
& ( Xa != Xc )
& ( Xa != Xx )
& ( Xa != Xy )
& ( Xb != Xc )
& ( Xb != Xx )
& ( Xb != Xy )
& ( Xc != Xx )
& ( Xc != Xy )
& ( Xx != Xy )
& ( ( MEET @ Xx @ Xy )
= Xy )
& ( ( JOIN @ Xx @ Xy )
= Xx )
& ( ( MEET @ Xx @ Xa )
= Xa )
& ( ( JOIN @ Xx @ Xa )
= Xx )
& ( ( MEET @ Xx @ Xb )
= Xb )
& ( ( JOIN @ Xx @ Xb )
= Xx )
& ( ( MEET @ Xx @ Xc )
= Xc )
& ( ( JOIN @ Xx @ Xc )
= Xx )
& ( ( MEET @ Xa @ Xb )
= Xy )
& ( ( JOIN @ Xa @ Xb )
= Xx )
& ( ( MEET @ Xa @ Xc )
= Xa )
& ( ( JOIN @ Xa @ Xc )
= Xc )
& ( ( MEET @ Xa @ Xy )
= Xy )
& ( ( JOIN @ Xa @ Xy )
= Xa )
& ( ( MEET @ Xb @ Xc )
= Xy )
& ( ( JOIN @ Xb @ Xc )
= Xx )
& ( ( MEET @ Xb @ Xy )
= Xy )
& ( ( JOIN @ Xb @ Xy )
= Xb )
& ( ( MEET @ Xc @ Xy )
= Xy )
& ( ( JOIN @ Xc @ Xy )
= Xc ) )
=> ~ ! [Xx: a,Xy: a,Xz: a] :
( ( JOIN @ Xx @ ( MEET @ Xy @ ( JOIN @ Xx @ Xz ) ) )
= ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY26: a > a > a] :
( ( ! [SY27: a] :
( ( sK1_JOIN @ SY27 @ SY27 )
= SY27 )
& ! [Xx: a] :
( ( SY26 @ Xx @ Xx )
= Xx )
& ! [SY29: a,SY30: a,SY31: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY29 @ SY30 ) @ SY31 )
= ( sK1_JOIN @ SY29 @ ( sK1_JOIN @ SY30 @ SY31 ) ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( SY26 @ ( SY26 @ Xx @ Xy ) @ Xz )
= ( SY26 @ Xx @ ( SY26 @ Xy @ Xz ) ) )
& ! [SY35: a,SY36: a] :
( ( sK1_JOIN @ SY35 @ SY36 )
= ( sK1_JOIN @ SY36 @ SY35 ) )
& ! [Xx: a,Xy: a] :
( ( SY26 @ Xx @ Xy )
= ( SY26 @ Xy @ Xx ) )
& ! [SY39: a,SY40: a] :
( ( sK1_JOIN @ ( SY26 @ SY39 @ SY40 ) @ SY40 )
= SY40 )
& ! [SY41: a,SY42: a] :
( ( SY26 @ ( sK1_JOIN @ SY41 @ SY42 ) @ SY42 )
= SY42 ) )
=> ( ? [SY43: a,SY44: a,SY45: a,SY46: a,SY47: a] :
( ( SY45 != SY46 )
& ( SY45 != SY47 )
& ( SY45 != SY43 )
& ( SY45 != SY44 )
& ( SY46 != SY47 )
& ( SY46 != SY43 )
& ( SY46 != SY44 )
& ( SY47 != SY43 )
& ( SY47 != SY44 )
& ( SY43 != SY44 )
& ( ( SY26 @ SY43 @ SY44 )
= SY44 )
& ( ( sK1_JOIN @ SY43 @ SY44 )
= SY43 )
& ( ( SY26 @ SY43 @ SY45 )
= SY45 )
& ( ( sK1_JOIN @ SY43 @ SY45 )
= SY43 )
& ( ( SY26 @ SY43 @ SY46 )
= SY46 )
& ( ( sK1_JOIN @ SY43 @ SY46 )
= SY43 )
& ( ( SY26 @ SY43 @ SY47 )
= SY47 )
& ( ( sK1_JOIN @ SY43 @ SY47 )
= SY43 )
& ( ( SY26 @ SY45 @ SY46 )
= SY44 )
& ( ( sK1_JOIN @ SY45 @ SY46 )
= SY43 )
& ( ( SY26 @ SY45 @ SY47 )
= SY45 )
& ( ( sK1_JOIN @ SY45 @ SY47 )
= SY47 )
& ( ( SY26 @ SY45 @ SY44 )
= SY44 )
& ( ( sK1_JOIN @ SY45 @ SY44 )
= SY45 )
& ( ( SY26 @ SY46 @ SY47 )
= SY44 )
& ( ( sK1_JOIN @ SY46 @ SY47 )
= SY43 )
& ( ( SY26 @ SY46 @ SY44 )
= SY44 )
& ( ( sK1_JOIN @ SY46 @ SY44 )
= SY46 )
& ( ( SY26 @ SY47 @ SY44 )
= SY44 )
& ( ( sK1_JOIN @ SY47 @ SY44 )
= SY47 ) )
=> ~ ! [SY48: a,SY49: a,SY50: a] :
( ( sK1_JOIN @ SY48 @ ( SY26 @ SY49 @ ( sK1_JOIN @ SY48 @ SY50 ) ) )
= ( SY26 @ ( sK1_JOIN @ SY48 @ SY49 ) @ ( sK1_JOIN @ SY48 @ SY50 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ! [SY27: a] :
( ( sK1_JOIN @ SY27 @ SY27 )
= SY27 )
& ! [SY52: a] :
( ( sK2_SY26 @ SY52 @ SY52 )
= SY52 )
& ! [SY29: a,SY30: a,SY31: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY29 @ SY30 ) @ SY31 )
= ( sK1_JOIN @ SY29 @ ( sK1_JOIN @ SY30 @ SY31 ) ) )
& ! [SY56: a,SY57: a,SY58: a] :
( ( sK2_SY26 @ ( sK2_SY26 @ SY56 @ SY57 ) @ SY58 )
= ( sK2_SY26 @ SY56 @ ( sK2_SY26 @ SY57 @ SY58 ) ) )
& ! [SY35: a,SY36: a] :
( ( sK1_JOIN @ SY35 @ SY36 )
= ( sK1_JOIN @ SY36 @ SY35 ) )
& ! [SY61: a,SY62: a] :
( ( sK2_SY26 @ SY61 @ SY62 )
= ( sK2_SY26 @ SY62 @ SY61 ) )
& ! [SY63: a,SY64: a] :
( ( sK1_JOIN @ ( sK2_SY26 @ SY63 @ SY64 ) @ SY64 )
= SY64 )
& ! [SY65: a,SY66: a] :
( ( sK2_SY26 @ ( sK1_JOIN @ SY65 @ SY66 ) @ SY66 )
= SY66 ) )
=> ( ? [SY67: a,SY68: a,SY69: a,SY70: a,SY71: a] :
( ( SY69 != SY70 )
& ( SY69 != SY71 )
& ( SY69 != SY67 )
& ( SY69 != SY68 )
& ( SY70 != SY71 )
& ( SY70 != SY67 )
& ( SY70 != SY68 )
& ( SY71 != SY67 )
& ( SY71 != SY68 )
& ( SY67 != SY68 )
& ( ( sK2_SY26 @ SY67 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY67 @ SY68 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY69 )
= SY69 )
& ( ( sK1_JOIN @ SY67 @ SY69 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY70 )
= SY70 )
& ( ( sK1_JOIN @ SY67 @ SY70 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY71 )
= SY71 )
& ( ( sK1_JOIN @ SY67 @ SY71 )
= SY67 )
& ( ( sK2_SY26 @ SY69 @ SY70 )
= SY68 )
& ( ( sK1_JOIN @ SY69 @ SY70 )
= SY67 )
& ( ( sK2_SY26 @ SY69 @ SY71 )
= SY69 )
& ( ( sK1_JOIN @ SY69 @ SY71 )
= SY71 )
& ( ( sK2_SY26 @ SY69 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY69 @ SY68 )
= SY69 )
& ( ( sK2_SY26 @ SY70 @ SY71 )
= SY68 )
& ( ( sK1_JOIN @ SY70 @ SY71 )
= SY67 )
& ( ( sK2_SY26 @ SY70 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY70 @ SY68 )
= SY70 )
& ( ( sK2_SY26 @ SY71 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY71 @ SY68 )
= SY71 ) )
=> ~ ! [SY72: a,SY73: a,SY74: a] :
( ( sK1_JOIN @ SY72 @ ( sK2_SY26 @ SY73 @ ( sK1_JOIN @ SY72 @ SY74 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SY72 @ SY73 ) @ ( sK1_JOIN @ SY72 @ SY74 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY27: a] :
( ( sK1_JOIN @ SY27 @ SY27 )
= SY27 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY52: a] :
( ( sK2_SY26 @ SY52 @ SY52 )
= SY52 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [SY29: a,SY30: a,SY31: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY29 @ SY30 ) @ SY31 )
= ( sK1_JOIN @ SY29 @ ( sK1_JOIN @ SY30 @ SY31 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [SY56: a,SY57: a,SY58: a] :
( ( sK2_SY26 @ ( sK2_SY26 @ SY56 @ SY57 ) @ SY58 )
= ( sK2_SY26 @ SY56 @ ( sK2_SY26 @ SY57 @ SY58 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(10,plain,
( ( ! [SY35: a,SY36: a] :
( ( sK1_JOIN @ SY35 @ SY36 )
= ( sK1_JOIN @ SY36 @ SY35 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(11,plain,
( ( ! [SY61: a,SY62: a] :
( ( sK2_SY26 @ SY61 @ SY62 )
= ( sK2_SY26 @ SY62 @ SY61 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(12,plain,
( ( ! [SY63: a,SY64: a] :
( ( sK1_JOIN @ ( sK2_SY26 @ SY63 @ SY64 ) @ SY64 )
= SY64 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(13,plain,
( ( ! [SY65: a,SY66: a] :
( ( sK2_SY26 @ ( sK1_JOIN @ SY65 @ SY66 ) @ SY66 )
= SY66 ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(14,plain,
( ( ? [SY67: a,SY68: a,SY69: a,SY70: a,SY71: a] :
( ( SY69 != SY70 )
& ( SY69 != SY71 )
& ( SY69 != SY67 )
& ( SY69 != SY68 )
& ( SY70 != SY71 )
& ( SY70 != SY67 )
& ( SY70 != SY68 )
& ( SY71 != SY67 )
& ( SY71 != SY68 )
& ( SY67 != SY68 )
& ( ( sK2_SY26 @ SY67 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY67 @ SY68 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY69 )
= SY69 )
& ( ( sK1_JOIN @ SY67 @ SY69 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY70 )
= SY70 )
& ( ( sK1_JOIN @ SY67 @ SY70 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY71 )
= SY71 )
& ( ( sK1_JOIN @ SY67 @ SY71 )
= SY67 )
& ( ( sK2_SY26 @ SY69 @ SY70 )
= SY68 )
& ( ( sK1_JOIN @ SY69 @ SY70 )
= SY67 )
& ( ( sK2_SY26 @ SY69 @ SY71 )
= SY69 )
& ( ( sK1_JOIN @ SY69 @ SY71 )
= SY71 )
& ( ( sK2_SY26 @ SY69 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY69 @ SY68 )
= SY69 )
& ( ( sK2_SY26 @ SY70 @ SY71 )
= SY68 )
& ( ( sK1_JOIN @ SY70 @ SY71 )
= SY67 )
& ( ( sK2_SY26 @ SY70 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY70 @ SY68 )
= SY70 )
& ( ( sK2_SY26 @ SY71 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY71 @ SY68 )
= SY71 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(15,plain,
( ( ~ ! [SY72: a,SY73: a,SY74: a] :
( ( sK1_JOIN @ SY72 @ ( sK2_SY26 @ SY73 @ ( sK1_JOIN @ SY72 @ SY74 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SY72 @ SY73 ) @ ( sK1_JOIN @ SY72 @ SY74 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(16,plain,
( ( ! [SY72: a,SY73: a,SY74: a] :
( ( sK1_JOIN @ SY72 @ ( sK2_SY26 @ SY73 @ ( sK1_JOIN @ SY72 @ SY74 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SY72 @ SY73 ) @ ( sK1_JOIN @ SY72 @ SY74 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(17,plain,
( ( ? [SY67: a,SY68: a,SY69: a,SY70: a,SY71: a] :
( ( SY69 != SY70 )
& ( SY69 != SY71 )
& ( SY69 != SY67 )
& ( SY69 != SY68 )
& ( SY70 != SY71 )
& ( SY70 != SY67 )
& ( SY70 != SY68 )
& ( SY71 != SY67 )
& ( SY71 != SY68 )
& ( SY67 != SY68 )
& ( ( sK2_SY26 @ SY67 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY67 @ SY68 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY69 )
= SY69 )
& ( ( sK1_JOIN @ SY67 @ SY69 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY70 )
= SY70 )
& ( ( sK1_JOIN @ SY67 @ SY70 )
= SY67 )
& ( ( sK2_SY26 @ SY67 @ SY71 )
= SY71 )
& ( ( sK1_JOIN @ SY67 @ SY71 )
= SY67 )
& ( ( sK2_SY26 @ SY69 @ SY70 )
= SY68 )
& ( ( sK1_JOIN @ SY69 @ SY70 )
= SY67 )
& ( ( sK2_SY26 @ SY69 @ SY71 )
= SY69 )
& ( ( sK1_JOIN @ SY69 @ SY71 )
= SY71 )
& ( ( sK2_SY26 @ SY69 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY69 @ SY68 )
= SY69 )
& ( ( sK2_SY26 @ SY70 @ SY71 )
= SY68 )
& ( ( sK1_JOIN @ SY70 @ SY71 )
= SY67 )
& ( ( sK2_SY26 @ SY70 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY70 @ SY68 )
= SY70 )
& ( ( sK2_SY26 @ SY71 @ SY68 )
= SY68 )
& ( ( sK1_JOIN @ SY71 @ SY68 )
= SY71 ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(18,plain,
( ( ! [SY65: a,SY66: a] :
( ( sK2_SY26 @ ( sK1_JOIN @ SY65 @ SY66 ) @ SY66 )
= SY66 ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(19,plain,
( ( ! [SY63: a,SY64: a] :
( ( sK1_JOIN @ ( sK2_SY26 @ SY63 @ SY64 ) @ SY64 )
= SY64 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(20,plain,
( ( ! [SY61: a,SY62: a] :
( ( sK2_SY26 @ SY61 @ SY62 )
= ( sK2_SY26 @ SY62 @ SY61 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(21,plain,
( ( ! [SY35: a,SY36: a] :
( ( sK1_JOIN @ SY35 @ SY36 )
= ( sK1_JOIN @ SY36 @ SY35 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(22,plain,
( ( ! [SY56: a,SY57: a,SY58: a] :
( ( sK2_SY26 @ ( sK2_SY26 @ SY56 @ SY57 ) @ SY58 )
= ( sK2_SY26 @ SY56 @ ( sK2_SY26 @ SY57 @ SY58 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(23,plain,
( ( ! [SY29: a,SY30: a,SY31: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SY29 @ SY30 ) @ SY31 )
= ( sK1_JOIN @ SY29 @ ( sK1_JOIN @ SY30 @ SY31 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(24,plain,
( ( ! [SY52: a] :
( ( sK2_SY26 @ SY52 @ SY52 )
= SY52 ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [SY27: a] :
( ( sK1_JOIN @ SY27 @ SY27 )
= SY27 ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(26,plain,
( ( ! [SY72: a,SY73: a,SY74: a] :
( ( sK1_JOIN @ SY72 @ ( sK2_SY26 @ SY73 @ ( sK1_JOIN @ SY72 @ SY74 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SY72 @ SY73 ) @ ( sK1_JOIN @ SY72 @ SY74 ) ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(27,plain,
( ( ~ ! [SX0: a] :
~ ~ ! [SX1: a] :
~ ~ ! [SX2: a] :
~ ~ ! [SX3: a] :
~ ~ ! [SX4: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX2 != SX3 ) )
| ~ ( ( SX2 != SX4 ) ) )
| ~ ( ( SX2 != SX0 ) ) )
| ~ ( ( SX2 != SX1 ) ) )
| ~ ( ( SX3 != SX4 ) ) )
| ~ ( ( SX3 != SX0 ) ) )
| ~ ( ( SX3 != SX1 ) ) )
| ~ ( ( SX4 != SX0 ) ) )
| ~ ( ( SX4 != SX1 ) ) )
| ~ ( ( SX0 != SX1 ) ) )
| ( ( sK2_SY26 @ SX0 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX0 @ SX1 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX0 @ SX2 )
!= SX2 ) )
| ( ( sK1_JOIN @ SX0 @ SX2 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX0 @ SX3 )
!= SX3 ) )
| ( ( sK1_JOIN @ SX0 @ SX3 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX0 @ SX4 )
!= SX4 ) )
| ( ( sK1_JOIN @ SX0 @ SX4 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX2 @ SX3 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX2 @ SX3 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX2 @ SX4 )
!= SX2 ) )
| ( ( sK1_JOIN @ SX2 @ SX4 )
!= SX4 ) )
| ( ( sK2_SY26 @ SX2 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX2 @ SX1 )
!= SX2 ) )
| ( ( sK2_SY26 @ SX3 @ SX4 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX3 @ SX4 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX3 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX3 @ SX1 )
!= SX3 ) )
| ( ( sK2_SY26 @ SX4 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX4 @ SX1 )
!= SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(28,plain,
! [SV1: a] :
( ( ! [SY75: a] :
( ( sK2_SY26 @ ( sK1_JOIN @ SV1 @ SY75 ) @ SY75 )
= SY75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(29,plain,
! [SV2: a] :
( ( ! [SY76: a] :
( ( sK1_JOIN @ ( sK2_SY26 @ SV2 @ SY76 ) @ SY76 )
= SY76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(30,plain,
! [SV3: a] :
( ( ! [SY77: a] :
( ( sK2_SY26 @ SV3 @ SY77 )
= ( sK2_SY26 @ SY77 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(31,plain,
! [SV4: a] :
( ( ! [SY78: a] :
( ( sK1_JOIN @ SV4 @ SY78 )
= ( sK1_JOIN @ SY78 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(32,plain,
! [SV5: a] :
( ( ! [SY79: a,SY80: a] :
( ( sK2_SY26 @ ( sK2_SY26 @ SV5 @ SY79 ) @ SY80 )
= ( sK2_SY26 @ SV5 @ ( sK2_SY26 @ SY79 @ SY80 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(33,plain,
! [SV6: a] :
( ( ! [SY81: a,SY82: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SV6 @ SY81 ) @ SY82 )
= ( sK1_JOIN @ SV6 @ ( sK1_JOIN @ SY81 @ SY82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(34,plain,
! [SV7: a] :
( ( ( sK2_SY26 @ SV7 @ SV7 )
= SV7 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(35,plain,
! [SV8: a] :
( ( ( sK1_JOIN @ SV8 @ SV8 )
= SV8 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(36,plain,
! [SV9: a] :
( ( ! [SY83: a,SY84: a] :
( ( sK1_JOIN @ SV9 @ ( sK2_SY26 @ SY83 @ ( sK1_JOIN @ SV9 @ SY84 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SV9 @ SY83 ) @ ( sK1_JOIN @ SV9 @ SY84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(37,plain,
( ( ! [SX0: a] :
~ ~ ! [SX1: a] :
~ ~ ! [SX2: a] :
~ ~ ! [SX3: a] :
~ ~ ! [SX4: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SX2 != SX3 ) )
| ~ ( ( SX2 != SX4 ) ) )
| ~ ( ( SX2 != SX0 ) ) )
| ~ ( ( SX2 != SX1 ) ) )
| ~ ( ( SX3 != SX4 ) ) )
| ~ ( ( SX3 != SX0 ) ) )
| ~ ( ( SX3 != SX1 ) ) )
| ~ ( ( SX4 != SX0 ) ) )
| ~ ( ( SX4 != SX1 ) ) )
| ~ ( ( SX0 != SX1 ) ) )
| ( ( sK2_SY26 @ SX0 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX0 @ SX1 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX0 @ SX2 )
!= SX2 ) )
| ( ( sK1_JOIN @ SX0 @ SX2 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX0 @ SX3 )
!= SX3 ) )
| ( ( sK1_JOIN @ SX0 @ SX3 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX0 @ SX4 )
!= SX4 ) )
| ( ( sK1_JOIN @ SX0 @ SX4 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX2 @ SX3 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX2 @ SX3 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX2 @ SX4 )
!= SX2 ) )
| ( ( sK1_JOIN @ SX2 @ SX4 )
!= SX4 ) )
| ( ( sK2_SY26 @ SX2 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX2 @ SX1 )
!= SX2 ) )
| ( ( sK2_SY26 @ SX3 @ SX4 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX3 @ SX4 )
!= SX0 ) )
| ( ( sK2_SY26 @ SX3 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX3 @ SX1 )
!= SX3 ) )
| ( ( sK2_SY26 @ SX4 @ SX1 )
!= SX1 ) )
| ( ( sK1_JOIN @ SX4 @ SX1 )
!= SX4 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(38,plain,
! [SV10: a,SV1: a] :
( ( ( sK2_SY26 @ ( sK1_JOIN @ SV1 @ SV10 ) @ SV10 )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(39,plain,
! [SV11: a,SV2: a] :
( ( ( sK1_JOIN @ ( sK2_SY26 @ SV2 @ SV11 ) @ SV11 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(40,plain,
! [SV12: a,SV3: a] :
( ( ( sK2_SY26 @ SV3 @ SV12 )
= ( sK2_SY26 @ SV12 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(41,plain,
! [SV13: a,SV4: a] :
( ( ( sK1_JOIN @ SV4 @ SV13 )
= ( sK1_JOIN @ SV13 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV14: a,SV5: a] :
( ( ! [SY85: a] :
( ( sK2_SY26 @ ( sK2_SY26 @ SV5 @ SV14 ) @ SY85 )
= ( sK2_SY26 @ SV5 @ ( sK2_SY26 @ SV14 @ SY85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(43,plain,
! [SV15: a,SV6: a] :
( ( ! [SY86: a] :
( ( sK1_JOIN @ ( sK1_JOIN @ SV6 @ SV15 ) @ SY86 )
= ( sK1_JOIN @ SV6 @ ( sK1_JOIN @ SV15 @ SY86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(44,plain,
! [SV16: a,SV9: a] :
( ( ! [SY87: a] :
( ( sK1_JOIN @ SV9 @ ( sK2_SY26 @ SV16 @ ( sK1_JOIN @ SV9 @ SY87 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SV9 @ SV16 ) @ ( sK1_JOIN @ SV9 @ SY87 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(45,plain,
( ( ~ ~ ! [SY88: a] :
~ ~ ! [SY89: a] :
~ ~ ! [SY90: a] :
~ ~ ! [SY91: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY89 != SY90 ) )
| ~ ( ( SY89 != SY91 ) ) )
| ~ ( ( SY89 != sK3_SX0 ) ) )
| ~ ( ( SY89 != SY88 ) ) )
| ~ ( ( SY90 != SY91 ) ) )
| ~ ( ( SY90 != sK3_SX0 ) ) )
| ~ ( ( SY90 != SY88 ) ) )
| ~ ( ( SY91 != sK3_SX0 ) ) )
| ~ ( ( SY91 != SY88 ) ) )
| ~ ( ( sK3_SX0 != SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY89 )
!= SY89 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY89 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY90 )
!= SY90 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY90 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY91 )
!= SY91 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY91 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY89 @ SY90 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY89 @ SY90 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY89 @ SY91 )
!= SY89 ) )
| ( ( sK1_JOIN @ SY89 @ SY91 )
!= SY91 ) )
| ( ( sK2_SY26 @ SY89 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY89 @ SY88 )
!= SY89 ) )
| ( ( sK2_SY26 @ SY90 @ SY91 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY90 @ SY91 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY90 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY90 @ SY88 )
!= SY90 ) )
| ( ( sK2_SY26 @ SY91 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY91 @ SY88 )
!= SY91 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[37]) ).
thf(46,plain,
! [SV17: a,SV14: a,SV5: a] :
( ( ( sK2_SY26 @ ( sK2_SY26 @ SV5 @ SV14 ) @ SV17 )
= ( sK2_SY26 @ SV5 @ ( sK2_SY26 @ SV14 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(47,plain,
! [SV18: a,SV15: a,SV6: a] :
( ( ( sK1_JOIN @ ( sK1_JOIN @ SV6 @ SV15 ) @ SV18 )
= ( sK1_JOIN @ SV6 @ ( sK1_JOIN @ SV15 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(48,plain,
! [SV19: a,SV16: a,SV9: a] :
( ( ( sK1_JOIN @ SV9 @ ( sK2_SY26 @ SV16 @ ( sK1_JOIN @ SV9 @ SV19 ) ) )
= ( sK2_SY26 @ ( sK1_JOIN @ SV9 @ SV16 ) @ ( sK1_JOIN @ SV9 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(49,plain,
( ( ~ ! [SY88: a] :
~ ~ ! [SY89: a] :
~ ~ ! [SY90: a] :
~ ~ ! [SY91: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY89 != SY90 ) )
| ~ ( ( SY89 != SY91 ) ) )
| ~ ( ( SY89 != sK3_SX0 ) ) )
| ~ ( ( SY89 != SY88 ) ) )
| ~ ( ( SY90 != SY91 ) ) )
| ~ ( ( SY90 != sK3_SX0 ) ) )
| ~ ( ( SY90 != SY88 ) ) )
| ~ ( ( SY91 != sK3_SX0 ) ) )
| ~ ( ( SY91 != SY88 ) ) )
| ~ ( ( sK3_SX0 != SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY89 )
!= SY89 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY89 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY90 )
!= SY90 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY90 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY91 )
!= SY91 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY91 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY89 @ SY90 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY89 @ SY90 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY89 @ SY91 )
!= SY89 ) )
| ( ( sK1_JOIN @ SY89 @ SY91 )
!= SY91 ) )
| ( ( sK2_SY26 @ SY89 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY89 @ SY88 )
!= SY89 ) )
| ( ( sK2_SY26 @ SY90 @ SY91 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY90 @ SY91 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY90 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY90 @ SY88 )
!= SY90 ) )
| ( ( sK2_SY26 @ SY91 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY91 @ SY88 )
!= SY91 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(50,plain,
( ( ! [SY88: a] :
~ ~ ! [SY89: a] :
~ ~ ! [SY90: a] :
~ ~ ! [SY91: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY89 != SY90 ) )
| ~ ( ( SY89 != SY91 ) ) )
| ~ ( ( SY89 != sK3_SX0 ) ) )
| ~ ( ( SY89 != SY88 ) ) )
| ~ ( ( SY90 != SY91 ) ) )
| ~ ( ( SY90 != sK3_SX0 ) ) )
| ~ ( ( SY90 != SY88 ) ) )
| ~ ( ( SY91 != sK3_SX0 ) ) )
| ~ ( ( SY91 != SY88 ) ) )
| ~ ( ( sK3_SX0 != SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY89 )
!= SY89 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY89 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY90 )
!= SY90 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY90 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY91 )
!= SY91 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY91 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY89 @ SY90 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY89 @ SY90 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY89 @ SY91 )
!= SY89 ) )
| ( ( sK1_JOIN @ SY89 @ SY91 )
!= SY91 ) )
| ( ( sK2_SY26 @ SY89 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY89 @ SY88 )
!= SY89 ) )
| ( ( sK2_SY26 @ SY90 @ SY91 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY90 @ SY91 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY90 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY90 @ SY88 )
!= SY90 ) )
| ( ( sK2_SY26 @ SY91 @ SY88 )
!= SY88 ) )
| ( ( sK1_JOIN @ SY91 @ SY88 )
!= SY91 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(51,plain,
( ( ~ ~ ! [SY92: a] :
~ ~ ! [SY93: a] :
~ ~ ! [SY94: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY92 != SY93 ) )
| ~ ( ( SY92 != SY94 ) ) )
| ~ ( ( SY92 != sK3_SX0 ) ) )
| ~ ( ( SY92 != sK4_SY88 ) ) )
| ~ ( ( SY93 != SY94 ) ) )
| ~ ( ( SY93 != sK3_SX0 ) ) )
| ~ ( ( SY93 != sK4_SY88 ) ) )
| ~ ( ( SY94 != sK3_SX0 ) ) )
| ~ ( ( SY94 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY92 )
!= SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY93 )
!= SY93 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY93 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY94 )
!= SY94 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY94 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY92 @ SY93 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY92 @ SY93 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY92 @ SY94 )
!= SY92 ) )
| ( ( sK1_JOIN @ SY92 @ SY94 )
!= SY94 ) )
| ( ( sK2_SY26 @ SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY92 @ sK4_SY88 )
!= SY92 ) )
| ( ( sK2_SY26 @ SY93 @ SY94 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY93 @ SY94 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY93 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY93 @ sK4_SY88 )
!= SY93 ) )
| ( ( sK2_SY26 @ SY94 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY94 @ sK4_SY88 )
!= SY94 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[50]) ).
thf(52,plain,
( ( ~ ! [SY92: a] :
~ ~ ! [SY93: a] :
~ ~ ! [SY94: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY92 != SY93 ) )
| ~ ( ( SY92 != SY94 ) ) )
| ~ ( ( SY92 != sK3_SX0 ) ) )
| ~ ( ( SY92 != sK4_SY88 ) ) )
| ~ ( ( SY93 != SY94 ) ) )
| ~ ( ( SY93 != sK3_SX0 ) ) )
| ~ ( ( SY93 != sK4_SY88 ) ) )
| ~ ( ( SY94 != sK3_SX0 ) ) )
| ~ ( ( SY94 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY92 )
!= SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY93 )
!= SY93 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY93 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY94 )
!= SY94 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY94 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY92 @ SY93 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY92 @ SY93 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY92 @ SY94 )
!= SY92 ) )
| ( ( sK1_JOIN @ SY92 @ SY94 )
!= SY94 ) )
| ( ( sK2_SY26 @ SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY92 @ sK4_SY88 )
!= SY92 ) )
| ( ( sK2_SY26 @ SY93 @ SY94 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY93 @ SY94 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY93 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY93 @ sK4_SY88 )
!= SY93 ) )
| ( ( sK2_SY26 @ SY94 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY94 @ sK4_SY88 )
!= SY94 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(53,plain,
( ( ! [SY92: a] :
~ ~ ! [SY93: a] :
~ ~ ! [SY94: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( SY92 != SY93 ) )
| ~ ( ( SY92 != SY94 ) ) )
| ~ ( ( SY92 != sK3_SX0 ) ) )
| ~ ( ( SY92 != sK4_SY88 ) ) )
| ~ ( ( SY93 != SY94 ) ) )
| ~ ( ( SY93 != sK3_SX0 ) ) )
| ~ ( ( SY93 != sK4_SY88 ) ) )
| ~ ( ( SY94 != sK3_SX0 ) ) )
| ~ ( ( SY94 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY92 )
!= SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY93 )
!= SY93 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY93 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY94 )
!= SY94 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY94 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY92 @ SY93 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY92 @ SY93 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY92 @ SY94 )
!= SY92 ) )
| ( ( sK1_JOIN @ SY92 @ SY94 )
!= SY94 ) )
| ( ( sK2_SY26 @ SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY92 @ sK4_SY88 )
!= SY92 ) )
| ( ( sK2_SY26 @ SY93 @ SY94 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY93 @ SY94 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY93 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY93 @ sK4_SY88 )
!= SY93 ) )
| ( ( sK2_SY26 @ SY94 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY94 @ sK4_SY88 )
!= SY94 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(54,plain,
( ( ~ ~ ! [SY95: a] :
~ ~ ! [SY96: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != SY95 ) )
| ~ ( ( sK5_SY92 != SY96 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( SY95 != SY96 ) ) )
| ~ ( ( SY95 != sK3_SX0 ) ) )
| ~ ( ( SY95 != sK4_SY88 ) ) )
| ~ ( ( SY96 != sK3_SX0 ) ) )
| ~ ( ( SY96 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY95 )
!= SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY96 )
!= SY96 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY96 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY96 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY96 )
!= SY96 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ SY95 @ SY96 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY95 @ SY96 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY95 @ sK4_SY88 )
!= SY95 ) )
| ( ( sK2_SY26 @ SY96 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY96 @ sK4_SY88 )
!= SY96 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(55,plain,
( ( ~ ! [SY95: a] :
~ ~ ! [SY96: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != SY95 ) )
| ~ ( ( sK5_SY92 != SY96 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( SY95 != SY96 ) ) )
| ~ ( ( SY95 != sK3_SX0 ) ) )
| ~ ( ( SY95 != sK4_SY88 ) ) )
| ~ ( ( SY96 != sK3_SX0 ) ) )
| ~ ( ( SY96 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY95 )
!= SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY96 )
!= SY96 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY96 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY96 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY96 )
!= SY96 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ SY95 @ SY96 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY95 @ SY96 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY95 @ sK4_SY88 )
!= SY95 ) )
| ( ( sK2_SY26 @ SY96 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY96 @ sK4_SY88 )
!= SY96 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[54]) ).
thf(56,plain,
( ( ! [SY95: a] :
~ ~ ! [SY96: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != SY95 ) )
| ~ ( ( sK5_SY92 != SY96 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( SY95 != SY96 ) ) )
| ~ ( ( SY95 != sK3_SX0 ) ) )
| ~ ( ( SY95 != sK4_SY88 ) ) )
| ~ ( ( SY96 != sK3_SX0 ) ) )
| ~ ( ( SY96 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY95 )
!= SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY96 )
!= SY96 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY96 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY96 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY96 )
!= SY96 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ SY95 @ SY96 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY95 @ SY96 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY95 @ sK4_SY88 )
!= SY95 ) )
| ( ( sK2_SY26 @ SY96 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY96 @ sK4_SY88 )
!= SY96 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(57,plain,
( ( ~ ~ ! [SY97: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( SY97 != sK3_SX0 ) ) )
| ~ ( ( SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY97 )
!= SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY97 )
!= SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY97 @ sK4_SY88 )
!= SY97 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[56]) ).
thf(58,plain,
( ( ~ ! [SY97: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( SY97 != sK3_SX0 ) ) )
| ~ ( ( SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY97 )
!= SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY97 )
!= SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY97 @ sK4_SY88 )
!= SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(59,plain,
( ( ! [SY97: a] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( SY97 != sK3_SX0 ) ) )
| ~ ( ( SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ SY97 )
!= SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ SY97 )
!= SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ SY97 @ sK4_SY88 )
!= SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(60,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK7_SY97 @ sK4_SY88 )
!= sK7_SY97 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[59]) ).
thf(61,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK7_SY97 @ sK4_SY88 )
!= sK7_SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[60]) ).
thf(62,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK7_SY97 @ sK4_SY88 )
!= sK7_SY97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(63,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(64,plain,
( ( ( sK1_JOIN @ sK7_SY97 @ sK4_SY88 )
!= sK7_SY97 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(65,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[63]) ).
thf(66,plain,
( ( ( sK1_JOIN @ sK7_SY97 @ sK4_SY88 )
= sK7_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[64]) ).
thf(67,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
| ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(68,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(69,plain,
( ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
!= sK4_SY88 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[67]) ).
thf(70,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(71,plain,
( ( ( sK2_SY26 @ sK7_SY97 @ sK4_SY88 )
= sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(72,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(73,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(74,plain,
( ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
!= sK6_SY95 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[72]) ).
thf(75,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[73]) ).
thf(76,plain,
( ( ( sK1_JOIN @ sK6_SY95 @ sK4_SY88 )
= sK6_SY95 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(77,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[75]) ).
thf(78,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(79,plain,
( ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
!= sK4_SY88 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[77]) ).
thf(80,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[78]) ).
thf(81,plain,
( ( ( sK2_SY26 @ sK6_SY95 @ sK4_SY88 )
= sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(82,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[80]) ).
thf(83,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(84,plain,
( ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
!= sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[82]) ).
thf(85,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(86,plain,
( ( ( sK1_JOIN @ sK6_SY95 @ sK7_SY97 )
= sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(87,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
| ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(88,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(89,plain,
( ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
!= sK4_SY88 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[87]) ).
thf(90,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[88]) ).
thf(91,plain,
( ( ( sK2_SY26 @ sK6_SY95 @ sK7_SY97 )
= sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(92,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[90]) ).
thf(93,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(94,plain,
( ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
!= sK5_SY92 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[92]) ).
thf(95,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(96,plain,
( ( ( sK1_JOIN @ sK5_SY92 @ sK4_SY88 )
= sK5_SY92 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(97,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(98,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(99,plain,
( ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
!= sK4_SY88 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[97]) ).
thf(100,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[98]) ).
thf(101,plain,
( ( ( sK2_SY26 @ sK5_SY92 @ sK4_SY88 )
= sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[99]) ).
thf(102,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(103,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(104,plain,
( ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
!= sK7_SY97 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[102]) ).
thf(105,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(106,plain,
( ( ( sK1_JOIN @ sK5_SY92 @ sK7_SY97 )
= sK7_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[104]) ).
thf(107,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(108,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(109,plain,
( ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
!= sK5_SY92 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[107]) ).
thf(110,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[108]) ).
thf(111,plain,
( ( ( sK2_SY26 @ sK5_SY92 @ sK7_SY97 )
= sK5_SY92 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[109]) ).
thf(112,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(113,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(114,plain,
( ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
!= sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[112]) ).
thf(115,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[113]) ).
thf(116,plain,
( ( ( sK1_JOIN @ sK5_SY92 @ sK6_SY95 )
= sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[114]) ).
thf(117,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(118,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(119,plain,
( ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
!= sK4_SY88 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[117]) ).
thf(120,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[118]) ).
thf(121,plain,
( ( ( sK2_SY26 @ sK5_SY92 @ sK6_SY95 )
= sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[119]) ).
thf(122,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(123,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(124,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
!= sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[122]) ).
thf(125,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(126,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK7_SY97 )
= sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(127,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(128,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(129,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
!= sK7_SY97 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[127]) ).
thf(130,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[128]) ).
thf(131,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK7_SY97 )
= sK7_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[129]) ).
thf(132,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(133,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(134,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
!= sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[132]) ).
thf(135,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[133]) ).
thf(136,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK6_SY95 )
= sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[134]) ).
thf(137,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[135]) ).
thf(138,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(139,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
!= sK6_SY95 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[137]) ).
thf(140,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[138]) ).
thf(141,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK6_SY95 )
= sK6_SY95 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[139]) ).
thf(142,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(143,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(144,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
!= sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[142]) ).
thf(145,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[143]) ).
thf(146,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK5_SY92 )
= sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[144]) ).
thf(147,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(148,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(149,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
!= sK5_SY92 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[147]) ).
thf(150,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[148]) ).
thf(151,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK5_SY92 )
= sK5_SY92 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[149]) ).
thf(152,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
| ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[150]) ).
thf(153,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(154,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
!= sK3_SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[152]) ).
thf(155,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(156,plain,
( ( ( sK1_JOIN @ sK3_SX0 @ sK4_SY88 )
= sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(157,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
| ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[155]) ).
thf(158,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(159,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
!= sK4_SY88 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[157]) ).
thf(160,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(161,plain,
( ( ( sK2_SY26 @ sK3_SX0 @ sK4_SY88 )
= sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(162,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
| ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(163,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(164,plain,
( ( ~ ( ( sK3_SX0 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(165,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[163]) ).
thf(166,plain,
( ( sK3_SX0 != sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[164]) ).
thf(167,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
| ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(168,plain,
( ( sK3_SX0 = sK4_SY88 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(169,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(170,plain,
( ( ~ ( ( sK7_SY97 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(171,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[169]) ).
thf(172,plain,
( ( sK7_SY97 != sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(173,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
| ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(174,plain,
( ( sK7_SY97 = sK4_SY88 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(175,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(176,plain,
( ( ~ ( ( sK7_SY97 != sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[173]) ).
thf(177,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[175]) ).
thf(178,plain,
( ( sK7_SY97 != sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[176]) ).
thf(179,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
| ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(180,plain,
( ( sK7_SY97 = sK3_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[178]) ).
thf(181,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(182,plain,
( ( ~ ( ( sK6_SY95 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[179]) ).
thf(183,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[181]) ).
thf(184,plain,
( ( sK6_SY95 != sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(185,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
| ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(186,plain,
( ( sK6_SY95 = sK4_SY88 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(187,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(188,plain,
( ( ~ ( ( sK6_SY95 != sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[185]) ).
thf(189,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[187]) ).
thf(190,plain,
( ( sK6_SY95 != sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[188]) ).
thf(191,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
| ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
( ( sK6_SY95 = sK3_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[190]) ).
thf(193,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(194,plain,
( ( ~ ( ( sK6_SY95 != sK7_SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[191]) ).
thf(195,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[193]) ).
thf(196,plain,
( ( sK6_SY95 != sK7_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[194]) ).
thf(197,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
| ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[195]) ).
thf(198,plain,
( ( sK6_SY95 = sK7_SY97 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(199,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(200,plain,
( ( ~ ( ( sK5_SY92 != sK4_SY88 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[197]) ).
thf(201,plain,
( ( ~ ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(202,plain,
( ( sK5_SY92 != sK4_SY88 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(203,plain,
( ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
| ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(204,plain,
( ( sK5_SY92 = sK4_SY88 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(205,plain,
( ( ~ ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(206,plain,
( ( ~ ( ( sK5_SY92 != sK3_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[203]) ).
thf(207,plain,
( ( ~ ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[205]) ).
thf(208,plain,
( ( sK5_SY92 != sK3_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[206]) ).
thf(209,plain,
( ( ~ ( ( sK5_SY92 != sK6_SY95 ) )
| ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(210,plain,
( ( sK5_SY92 = sK3_SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(211,plain,
( ( ~ ( ( sK5_SY92 != sK6_SY95 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(212,plain,
( ( ~ ( ( sK5_SY92 != sK7_SY97 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[209]) ).
thf(213,plain,
( ( sK5_SY92 != sK6_SY95 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(214,plain,
( ( sK5_SY92 != sK7_SY97 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(215,plain,
( ( sK5_SY92 = sK6_SY95 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(216,plain,
( ( sK5_SY92 = sK7_SY97 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(217,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[34,216,215,210,204,198,192,186,180,174,168,161,156,151,146,141,136,131,126,121,116,111,106,101,96,91,86,81,76,71,66,48,47,46,41,40,39,38,35]) ).
thf(218,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU999^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Oct 6 15:40:06 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.51/0.86
% 3.51/0.86 No.of.Axioms: 0
% 3.51/0.86
% 3.51/0.86 Length.of.Defs: 0
% 3.51/0.86
% 3.51/0.86 Contains.Choice.Funs: false
% 3.51/0.86 .............
% 3.51/0.86
% 3.51/0.86 ********************************
% 3.51/0.86 * All subproblems solved! *
% 3.51/0.86 ********************************
% 3.51/0.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:9,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:217,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.51/0.86
% 3.51/0.86 %**** Beginning of derivation protocol ****
% 3.51/0.86 % SZS output start CNFRefutation
% See solution above
% 3.51/0.86
% 3.51/0.86 %**** End of derivation protocol ****
% 3.51/0.86 %**** no. of clauses in derivation: 218 ****
% 3.51/0.86 %**** clause counter: 217 ****
% 3.51/0.86
% 3.51/0.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:9,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:217,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------