%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:19 AM UTC 2026
% Result : Theorem 3.29s 0.95s
% Output : CNFRefutation 3.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 419
% Syntax : Number of formulae : 1879 ( 157 unt; 402 def)
% Number of atoms : 9414 (5953 equ)
% Maximal formula atoms : 180 ( 5 avg)
% Number of connectives : 13058 (5523 ~;4819 |;2256 &)
% ( 460 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 404 ( 402 usr; 403 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 )
& ( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 )
& ( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 )
& ( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = e10 )
& ( op1(e12,e13) = e13
| op1(e12,e13) = e12
| op1(e12,e13) = e11
| op1(e12,e13) = e10 )
& ( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 )
& ( op1(e12,e11) = e13
| op1(e12,e11) = e12
| op1(e12,e11) = e11
| op1(e12,e11) = e10 )
& ( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 )
& ( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 )
& ( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 )
& ( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 )
& ( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = e10 )
& ( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 )
& ( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = e10 )
& ( op1(e10,e11) = e13
| op1(e10,e11) = e12
| op1(e10,e11) = e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 )
& ( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 )
& ( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = e12 )
& ( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 )
& ( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = e11 )
& ( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 )
& ( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 )
& ( op1(e13,e13) = e10
| op1(e13,e12) = e10
| op1(e13,e11) = e10
| op1(e13,e10) = e10 )
& ( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 )
& ( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 )
& ( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 )
& ( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 )
& ( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 )
& ( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 )
& ( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 )
& ( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 )
& ( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 )
& ( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 )
& ( op1(e13,e11) = e12
| op1(e12,e11) = e12
| op1(e11,e11) = e12
| op1(e10,e11) = e12 )
& ( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 )
& ( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 )
& ( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 )
& ( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 )
& ( op1(e11,e13) = e10
| op1(e11,e12) = e10
| op1(e11,e11) = e10
| op1(e11,e10) = e10 )
& ( op1(e13,e10) = e13
| op1(e12,e10) = e13
| op1(e11,e10) = e13
| op1(e10,e10) = e13 )
& ( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 )
& ( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 )
& ( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 )
& ( op1(e13,e10) = e11
| op1(e12,e10) = e11
| op1(e11,e10) = e11
| op1(e10,e10) = e11 )
& ( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 )
& ( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 )
& ( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = e20 )
& ( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 )
& ( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 )
& ( op2(e23,e20) = e23
| op2(e23,e20) = e22
| op2(e23,e20) = e21
| op2(e23,e20) = e20 )
& ( op2(e22,e23) = e23
| op2(e22,e23) = e22
| op2(e22,e23) = e21
| op2(e22,e23) = e20 )
& ( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 )
& ( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 )
& ( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 )
& ( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = e20 )
& ( op2(e21,e22) = e23
| op2(e21,e22) = e22
| op2(e21,e22) = e21
| op2(e21,e22) = e20 )
& ( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 )
& ( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = e20 )
& ( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 )
& ( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 )
& ( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 )
& ( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 )
& ( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 )
& ( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 )
& ( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = e21 )
& ( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 )
& ( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 )
& ( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 )
& ( op2(e23,e22) = e23
| op2(e22,e22) = e23
| op2(e21,e22) = e23
| op2(e20,e22) = e23 )
& ( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 )
& ( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 )
& ( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 )
& ( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 )
& ( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 )
& ( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 )
& ( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 )
& ( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 )
& ( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 )
& ( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = e22 )
& ( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 )
& ( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 )
& ( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 )
& ( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 )
& ( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 )
& ( op2(e23,e20) = e23
| op2(e22,e20) = e23
| op2(e21,e20) = e23
| op2(e20,e20) = e23 )
& ( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 )
& ( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 )
& ( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 )
& ( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 )
& ( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 )
& ( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 )
& ( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e12 = op1(op1(e13,e13),e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e22 = op2(op2(e23,e23),e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e10) = op2(e20,e20)
& h1(e13) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e10) = op2(e21,e21)
& h2(e13) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e10) = op2(e22,e22)
& h3(e13) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& h4(e10) = op2(e23,e23)
& h4(e13) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( ( h4(e13) = e23
| h4(e12) = e23
| h4(e11) = e23
| h4(e10) = e23 )
& ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22 )
& ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21 )
& ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20 )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( h3(e13) = e23
| h3(e12) = e23
| h3(e11) = e23
| h3(e10) = e23 )
& ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22 )
& ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21 )
& ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20 )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( h2(e13) = e23
| h2(e12) = e23
| h2(e11) = e23
| h2(e10) = e23 )
& ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22 )
& ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21 )
& ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20 )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( h1(e13) = e23
| h1(e12) = e23
| h1(e11) = e23
| h1(e10) = e23 )
& ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22 )
& ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21 )
& ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20 )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = e12
| op1(e10,e13) = e11
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e13
| op1(e11,e11) = e12
| op1(e11,e11) = e11
| op1(e11,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e13
| op1(e11,e12) = e12
| op1(e11,e12) = e11
| op1(e11,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e13
| op1(e12,e12) = e12
| op1(e12,e12) = e11
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e13
| op1(e13,e11) = e12
| op1(e13,e11) = e11
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e13
| op1(e13,e12) = e12
| op1(e13,e12) = e11
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
( op1(e10,e13) = e11
| op1(e10,e12) = e11
| op1(e10,e11) = e11
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f41,plain,
( op1(e13,e10) = e12
| op1(e12,e10) = e12
| op1(e11,e10) = e12
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
( op1(e10,e13) = e13
| op1(e10,e12) = e13
| op1(e10,e11) = e13
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f45,plain,
( op1(e13,e11) = e10
| op1(e12,e11) = e10
| op1(e11,e11) = e10
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
( op1(e11,e13) = e11
| op1(e11,e12) = e11
| op1(e11,e11) = e11
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f52,plain,
( op1(e12,e13) = e10
| op1(e12,e12) = e10
| op1(e12,e11) = e10
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f55,plain,
( op1(e13,e12) = e11
| op1(e12,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f58,plain,
( op1(e12,e13) = e13
| op1(e12,e12) = e13
| op1(e12,e11) = e13
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f62,plain,
( op1(e13,e13) = e11
| op1(e13,e12) = e11
| op1(e13,e11) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( op1(e13,e13) = e12
| op1(e13,e12) = e12
| op1(e13,e11) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f67,plain,
( op1(e13,e13) = e13
| op1(e12,e13) = e13
| op1(e11,e13) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f71,plain,
( op2(e20,e23) = e23
| op2(e20,e23) = e22
| op2(e20,e23) = e21
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e23
| op2(e21,e21) = e22
| op2(e21,e21) = e21
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e23
| op2(e23,e21) = e22
| op2(e23,e21) = e21
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f90,plain,
( op2(e20,e23) = e23
| op2(e20,e22) = e23
| op2(e20,e21) = e23
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f93,plain,
( op2(e23,e21) = e20
| op2(e22,e21) = e20
| op2(e21,e21) = e20
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f96,plain,
( op2(e21,e23) = e22
| op2(e21,e22) = e22
| op2(e21,e21) = e22
| op2(e21,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f100,plain,
( op2(e22,e23) = e20
| op2(e22,e22) = e20
| op2(e22,e21) = e20
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f110,plain,
( op2(e23,e23) = e21
| op2(e23,e22) = e21
| op2(e23,e21) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f112,plain,
( op2(e23,e23) = e22
| op2(e23,e22) = e22
| op2(e23,e21) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f240,definition,
( sP0_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e13) = e13 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f247,plain,
( op1(e13,e13) = e13
| op1(e12,e12) = e12
| op1(e11,e11) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f251,plain,
( op1(e10,e13) = e10
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f252,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f255,plain,
( op1(e11,e13) = e11
| op1(e11,e11) != e13 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f256,plain,
( op1(e12,e10) = e12
| op1(e12,e12) != e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f257,plain,
( op1(e12,e11) = e12
| op1(e12,e12) != e11 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f259,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f260,plain,
( op1(e13,e10) = e13
| op1(e13,e13) != e10 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f264,definition,
( sP1_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f265,plain,
( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e23) = e23 )
| sP1_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f264]) ).
fof(f266,plain,
( op2(e23,e23) = e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f271,plain,
( op2(e23,e23) = e23
| op2(e22,e22) = e22
| op2(e21,e21) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f273,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f274,plain,
( op2(e20,e22) = e20
| op2(e20,e20) != e22 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f275,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f276,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f278,plain,
( op2(e21,e22) = e21
| op2(e21,e21) != e22 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f279,plain,
( op2(e21,e23) = e21
| op2(e21,e21) != e23 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f280,plain,
( op2(e22,e20) = e22
| op2(e22,e22) != e20 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f281,plain,
( op2(e22,e21) = e22
| op2(e22,e22) != e21 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f283,plain,
( op2(e22,e23) = e22
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f284,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20 ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f288,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f289,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f290,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f291,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f292,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f293,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f294,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f295,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f296,plain,
h1(e11) = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f297,plain,
h1(e12) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f298,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f299,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f300,plain,
h2(e11) = op2(op2(op2(e21,e21),e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f301,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f302,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f303,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f304,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f305,plain,
h3(e12) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f306,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f307,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f308,plain,
h4(e11) = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f309,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f310,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f311,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f312,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f313,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f314,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f315,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f316,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f317,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f318,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f319,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f320,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f321,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f322,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f323,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP7_prd
| sP6_prd
| sP5_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f310,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311]) ).
fof(f334,plain,
( h3(e12) != e23
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f340,definition,
( sP14_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 )
| ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f341,plain,
( sP0_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e12) = e12 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f340]) ).
fof(f342,definition,
( sP15_prd
<=> ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f343,definition,
( sP16_prd
<=> ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f344,plain,
( sP0_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP16_prd
& sP15_prd
& op1(e13,e12) = e12 )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f341,f343,f342]) ).
fof(f345,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ~ sP16_prd
| ~ sP15_prd
| op1(e13,e12) != e12 )
& ~ sP14_prd )
| sP0_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP16_prd
& sP15_prd
& op1(e13,e12) = e12 )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f346,plain,
( op1(e13,e12) = e12
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f356,definition,
( sP17_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 )
| ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f357,plain,
( sP1_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e22) = e22 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f264,f356]) ).
fof(f358,definition,
( sP18_prd
<=> ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f359,definition,
( sP19_prd
<=> ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f360,plain,
( sP1_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP19_prd
& sP18_prd
& op2(e23,e22) = e22 )
| sP17_prd ) ),
inference(formula_renaming,[status(thm)],[f357,f359,f358]) ).
fof(f361,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ~ sP19_prd
| ~ sP18_prd
| op2(e23,e22) != e22 )
& ~ sP17_prd )
| sP1_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP19_prd
& sP18_prd
& op2(e23,e22) = e22 )
| sP17_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f360]) ).
fof(f362,plain,
( op2(e23,e22) = e22
| sP17_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f390,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f391,plain,
( h2(e10) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f396,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP6_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f315]) ).
fof(f400,plain,
( h2(e13) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f402,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f404,plain,
( h2(e11) != e22
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f402]) ).
fof(f407,plain,
( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd ),
inference(cnf_transformation,[status(thm)],[f402]) ).
fof(f408,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f409,plain,
( h3(e10) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f414,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f416,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f420,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f424,plain,
( h3(e13) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f426,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f320]) ).
fof(f427,plain,
( h4(e10) != e20
| ~ sP11_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f432,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP12_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f321]) ).
fof(f434,plain,
( h4(e11) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f438,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f322]) ).
fof(f441,plain,
( h4(e12) != e22
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f444,definition,
( sP20_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f445,plain,
( sP14_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e11) = e11 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f340,f444]) ).
fof(f446,definition,
( sP21_prd
<=> ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f447,definition,
( sP22_prd
<=> ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f448,plain,
( sP14_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP22_prd
& sP21_prd
& op1(e13,e11) = e11 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f445,f447,f446]) ).
fof(f449,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ~ sP22_prd
| ~ sP21_prd
| op1(e13,e11) != e11 )
& ~ sP20_prd )
| sP14_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP22_prd
& sP21_prd
& op1(e13,e11) = e11 )
| sP20_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( op1(e13,e11) = e11
| sP20_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f460,plain,
( ( ( op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP15_prd )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f342]) ).
fof(f462,plain,
( op1(e10,e10) = e13
| sP15_prd ),
inference(cnf_transformation,[status(thm)],[f460]) ).
fof(f464,plain,
( ( ( op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP16_prd )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f343]) ).
fof(f466,plain,
( op1(e11,e11) = e13
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f468,definition,
( sP23_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f469,plain,
( sP17_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e21) = e21 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f356,f468]) ).
fof(f470,definition,
( sP24_prd
<=> ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f471,definition,
( sP25_prd
<=> ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f472,plain,
( sP17_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP25_prd
& sP24_prd
& op2(e23,e21) = e21 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f469,f471,f470]) ).
fof(f473,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ~ sP25_prd
| ~ sP24_prd
| op2(e23,e21) != e21 )
& ~ sP23_prd )
| sP17_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP25_prd
& sP24_prd
& op2(e23,e21) = e21 )
| sP23_prd
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f472]) ).
fof(f474,plain,
( op2(e23,e21) = e21
| sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f482,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e22
| ~ sP25_prd
| ~ sP24_prd
| op2(e23,e21) != e21
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f473]) ).
fof(f484,plain,
( ( ( op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP18_prd )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f358]) ).
fof(f486,plain,
( op2(e20,e20) = e23
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f484]) ).
fof(f488,plain,
( ( ( op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP19_prd )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f359]) ).
fof(f490,plain,
( op2(e21,e21) = e23
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f492,definition,
( sP26_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f493,plain,
( sP20_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 )
& op1(e13,e10) = e10 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f444,f492]) ).
fof(f494,definition,
( sP27_prd
<=> ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f495,definition,
( sP28_prd
<=> ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f496,plain,
( sP20_prd
<=> ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP28_prd
& sP27_prd
& op1(e13,e10) = e10 )
| sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f493,f495,f494]) ).
fof(f497,plain,
( ( ( ( ( op1(e13,e13) = e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) = e12
& op1(e12,e12) = e13 )
| ~ sP28_prd
| ~ sP27_prd
| op1(e13,e10) != e10 )
& ~ sP26_prd )
| sP20_prd )
& ( ( ( op1(e13,e13) != e13
| op1(e13,e13) != e13 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 )
& sP28_prd
& sP27_prd
& op1(e13,e10) = e10 )
| sP26_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( op1(e13,e10) = e10
| sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f508,plain,
( ( ( op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP21_prd )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f446]) ).
fof(f510,plain,
( op1(e10,e10) = e13
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f508]) ).
fof(f512,plain,
( ( ( op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP22_prd )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f447]) ).
fof(f514,plain,
( op1(e11,e11) = e13
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f512]) ).
fof(f516,definition,
( sP29_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f517,plain,
( sP23_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 )
& op2(e23,e20) = e20 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f468,f516]) ).
fof(f518,definition,
( sP30_prd
<=> ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f519,definition,
( sP31_prd
<=> ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f520,plain,
( sP23_prd
<=> ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP31_prd
& sP30_prd
& op2(e23,e20) = e20 )
| sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f517,f519,f518]) ).
fof(f521,plain,
( ( ( ( ( op2(e23,e23) = e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) = e22
& op2(e22,e22) = e23 )
| ~ sP31_prd
| ~ sP30_prd
| op2(e23,e20) != e20 )
& ~ sP29_prd )
| sP23_prd )
& ( ( ( op2(e23,e23) != e23
| op2(e23,e23) != e23 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 )
& sP31_prd
& sP30_prd
& op2(e23,e20) = e20 )
| sP29_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f520]) ).
fof(f522,plain,
( op2(e23,e20) = e20
| sP29_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f532,plain,
( ( ( op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP24_prd )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f470]) ).
fof(f534,plain,
( op2(e20,e20) = e23
| sP24_prd ),
inference(cnf_transformation,[status(thm)],[f532]) ).
fof(f536,plain,
( ( ( op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP25_prd )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f471]) ).
fof(f538,plain,
( op2(e21,e21) = e23
| sP25_prd ),
inference(cnf_transformation,[status(thm)],[f536]) ).
fof(f540,definition,
( sP32_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f541,plain,
( sP26_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e13) = e13 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f492,f540]) ).
fof(f542,definition,
( sP33_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f543,definition,
( sP34_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f544,plain,
( sP26_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP34_prd
& sP33_prd
& op1(e12,e13) = e13 )
| sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f541,f543,f542]) ).
fof(f545,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP34_prd
| ~ sP33_prd
| op1(e12,e13) != e13 )
& ~ sP32_prd )
| sP26_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP34_prd
& sP33_prd
& op1(e12,e13) = e13 )
| sP32_prd
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f544]) ).
fof(f546,plain,
( op1(e12,e13) = e13
| sP32_prd
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f545]) ).
fof(f556,plain,
( ( ( op1(e10,e13) = e10
& op1(e10,e10) = e13 )
| sP27_prd )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f494]) ).
fof(f558,plain,
( op1(e10,e10) = e13
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f556]) ).
fof(f560,plain,
( ( ( op1(e11,e13) = e11
& op1(e11,e11) = e13 )
| sP28_prd )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f495]) ).
fof(f562,plain,
( op1(e11,e11) = e13
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f560]) ).
fof(f564,definition,
( sP35_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f565,plain,
( sP29_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e23) = e23 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f516,f564]) ).
fof(f566,definition,
( sP36_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f567,definition,
( sP37_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f568,plain,
( sP29_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP37_prd
& sP36_prd
& op2(e22,e23) = e23 )
| sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f565,f567,f566]) ).
fof(f569,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP37_prd
| ~ sP36_prd
| op2(e22,e23) != e23 )
& ~ sP35_prd )
| sP29_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP37_prd
& sP36_prd
& op2(e22,e23) = e23 )
| sP35_prd
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f568]) ).
fof(f570,plain,
( op2(e22,e23) = e23
| sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f580,plain,
( ( ( op2(e20,e23) = e20
& op2(e20,e20) = e23 )
| sP30_prd )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f518]) ).
fof(f582,plain,
( op2(e20,e20) = e23
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f580]) ).
fof(f584,plain,
( ( ( op2(e21,e23) = e21
& op2(e21,e21) = e23 )
| sP31_prd )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f519]) ).
fof(f586,plain,
( op2(e21,e21) = e23
| sP31_prd ),
inference(cnf_transformation,[status(thm)],[f584]) ).
fof(f588,definition,
( sP38_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f589,plain,
( sP32_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e12) = e12 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f540,f588]) ).
fof(f590,definition,
( sP39_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f591,definition,
( sP40_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f592,plain,
( sP32_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP40_prd
& sP39_prd
& op1(e12,e12) = e12 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f589,f591,f590]) ).
fof(f593,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP40_prd
| ~ sP39_prd
| op1(e12,e12) != e12 )
& ~ sP38_prd )
| sP32_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP40_prd
& sP39_prd
& op1(e12,e12) = e12 )
| sP38_prd
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f592]) ).
fof(f594,plain,
( op1(e12,e12) = e12
| sP38_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f597,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12
| sP38_prd
| ~ sP32_prd ),
inference(cnf_transformation,[status(thm)],[f593]) ).
fof(f604,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP33_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f542]) ).
fof(f607,plain,
( op1(e10,e12) = e10
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f608,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP34_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f543]) ).
fof(f610,plain,
( op1(e11,e11) = e12
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f612,definition,
( sP41_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f613,plain,
( sP35_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e22) = e22 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f564,f612]) ).
fof(f614,definition,
( sP42_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f615,definition,
( sP43_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f616,plain,
( sP35_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP43_prd
& sP42_prd
& op2(e22,e22) = e22 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f613,f615,f614]) ).
fof(f617,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP43_prd
| ~ sP42_prd
| op2(e22,e22) != e22 )
& ~ sP41_prd )
| sP35_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP43_prd
& sP42_prd
& op2(e22,e22) = e22 )
| sP41_prd
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f616]) ).
fof(f618,plain,
( op2(e22,e22) = e22
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f621,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22
| sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f617]) ).
fof(f628,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP36_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f566]) ).
fof(f630,plain,
( op2(e20,e20) = e22
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f628]) ).
fof(f632,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP37_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f567]) ).
fof(f634,plain,
( op2(e21,e21) = e22
| sP37_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f636,definition,
( sP44_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f637,plain,
( sP38_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e11) = e11 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f588,f636]) ).
fof(f638,definition,
( sP45_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f639,definition,
( sP46_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f640,plain,
( sP38_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP46_prd
& sP45_prd
& op1(e12,e11) = e11 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f637,f639,f638]) ).
fof(f641,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP46_prd
| ~ sP45_prd
| op1(e12,e11) != e11 )
& ~ sP44_prd )
| sP38_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP46_prd
& sP45_prd
& op1(e12,e11) = e11 )
| sP44_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f640]) ).
fof(f642,plain,
( op1(e12,e11) = e11
| sP44_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f652,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP39_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f590]) ).
fof(f655,plain,
( op1(e10,e12) = e10
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f652]) ).
fof(f656,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP40_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f591]) ).
fof(f658,plain,
( op1(e11,e11) = e12
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f656]) ).
fof(f660,definition,
( sP47_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f661,plain,
( sP41_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e21) = e21 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f612,f660]) ).
fof(f662,definition,
( sP48_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f663,definition,
( sP49_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f664,plain,
( sP41_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP49_prd
& sP48_prd
& op2(e22,e21) = e21 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f661,f663,f662]) ).
fof(f665,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP49_prd
| ~ sP48_prd
| op2(e22,e21) != e21 )
& ~ sP47_prd )
| sP41_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP49_prd
& sP48_prd
& op2(e22,e21) = e21 )
| sP47_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f664]) ).
fof(f666,plain,
( op2(e22,e21) = e21
| sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f665]) ).
fof(f676,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP42_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f614]) ).
fof(f678,plain,
( op2(e20,e20) = e22
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f680,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP43_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f615]) ).
fof(f682,plain,
( op2(e21,e21) = e22
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f680]) ).
fof(f684,definition,
( sP50_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f685,plain,
( sP44_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& op1(e12,e10) = e10 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f636,f684]) ).
fof(f686,definition,
( sP51_prd
<=> ( op1(e10,e12) != e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f687,definition,
( sP52_prd
<=> ( op1(e11,e12) != e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f688,plain,
( sP44_prd
<=> ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP52_prd
& sP51_prd
& op1(e12,e10) = e10 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f685,f687,f686]) ).
fof(f689,plain,
( ( ( ( ( op1(e13,e12) = e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ~ sP52_prd
| ~ sP51_prd
| op1(e12,e10) != e10 )
& ~ sP50_prd )
| sP44_prd )
& ( ( ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& sP52_prd
& sP51_prd
& op1(e12,e10) = e10 )
| sP50_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f688]) ).
fof(f690,plain,
( op1(e12,e10) = e10
| sP50_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f693,plain,
( op1(e12,e12) != e12
| op1(e12,e12) != e12
| sP50_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f700,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP45_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f638]) ).
fof(f703,plain,
( op1(e10,e12) = e10
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f704,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP46_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f639]) ).
fof(f706,plain,
( op1(e11,e11) = e12
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f708,definition,
( sP53_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f709,plain,
( sP47_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& op2(e22,e20) = e20 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f660,f708]) ).
fof(f710,definition,
( sP54_prd
<=> ( op2(e20,e22) != e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f711,definition,
( sP55_prd
<=> ( op2(e21,e22) != e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f712,plain,
( sP47_prd
<=> ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP55_prd
& sP54_prd
& op2(e22,e20) = e20 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f709,f711,f710]) ).
fof(f713,plain,
( ( ( ( ( op2(e23,e22) = e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ~ sP55_prd
| ~ sP54_prd
| op2(e22,e20) != e20 )
& ~ sP53_prd )
| sP47_prd )
& ( ( ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& sP55_prd
& sP54_prd
& op2(e22,e20) = e20 )
| sP53_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f712]) ).
fof(f714,plain,
( op2(e22,e20) = e20
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f717,plain,
( op2(e22,e22) != e22
| op2(e22,e22) != e22
| sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f713]) ).
fof(f724,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP48_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f662]) ).
fof(f726,plain,
( op2(e20,e20) = e22
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f724]) ).
fof(f728,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP49_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f663]) ).
fof(f730,plain,
( op2(e21,e21) = e22
| sP49_prd ),
inference(cnf_transformation,[status(thm)],[f728]) ).
fof(f732,definition,
( sP56_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f733,plain,
( sP50_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e13) = e13 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f684,f732]) ).
fof(f734,definition,
( sP57_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f735,definition,
( sP58_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f736,plain,
( sP50_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP58_prd
& sP57_prd
& op1(e11,e13) = e13 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f733,f735,f734]) ).
fof(f737,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP58_prd
| ~ sP57_prd
| op1(e11,e13) != e13 )
& ~ sP56_prd )
| sP50_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP58_prd
& sP57_prd
& op1(e11,e13) = e13 )
| sP56_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f736]) ).
fof(f739,plain,
( sP57_prd
| sP56_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f748,plain,
( ( ( op1(e10,e12) = e10
& op1(e10,e10) = e12 )
| sP51_prd )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f686]) ).
fof(f751,plain,
( op1(e10,e12) = e10
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f748]) ).
fof(f752,plain,
( ( ( op1(e11,e12) = e11
& op1(e11,e11) = e12 )
| sP52_prd )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f687]) ).
fof(f754,plain,
( op1(e11,e11) = e12
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f752]) ).
fof(f756,definition,
( sP59_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f757,plain,
( sP53_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e23) = e23 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f708,f756]) ).
fof(f758,definition,
( sP60_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f759,definition,
( sP61_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f760,plain,
( sP53_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP61_prd
& sP60_prd
& op2(e21,e23) = e23 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f757,f759,f758]) ).
fof(f761,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP61_prd
| ~ sP60_prd
| op2(e21,e23) != e23 )
& ~ sP59_prd )
| sP53_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP61_prd
& sP60_prd
& op2(e21,e23) = e23 )
| sP59_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f760]) ).
fof(f763,plain,
( sP60_prd
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f764,plain,
( sP61_prd
| sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f761]) ).
fof(f772,plain,
( ( ( op2(e20,e22) = e20
& op2(e20,e20) = e22 )
| sP54_prd )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f710]) ).
fof(f774,plain,
( op2(e20,e20) = e22
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f772]) ).
fof(f776,plain,
( ( ( op2(e21,e22) = e21
& op2(e21,e21) = e22 )
| sP55_prd )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f711]) ).
fof(f778,plain,
( op2(e21,e21) = e22
| sP55_prd ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f780,definition,
( sP62_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f781,plain,
( sP56_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e12) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f732,f780]) ).
fof(f782,definition,
( sP63_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f783,definition,
( sP64_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f784,plain,
( sP56_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP64_prd
& sP63_prd
& op1(e11,e12) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f781,f783,f782]) ).
fof(f785,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP64_prd
| ~ sP63_prd
| op1(e11,e12) != e12 )
& ~ sP62_prd )
| sP56_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP64_prd
& sP63_prd
& op1(e11,e12) = e12 )
| sP62_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f784]) ).
fof(f787,plain,
( sP63_prd
| sP62_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f785]) ).
fof(f796,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP57_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f734]) ).
fof(f797,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f796]) ).
fof(f800,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP58_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f735]) ).
fof(f801,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f800]) ).
fof(f804,definition,
( sP65_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f805,plain,
( sP59_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e22) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f756,f804]) ).
fof(f806,definition,
( sP66_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f807,definition,
( sP67_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f808,plain,
( sP59_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP67_prd
& sP66_prd
& op2(e21,e22) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f805,f807,f806]) ).
fof(f809,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP67_prd
| ~ sP66_prd
| op2(e21,e22) != e22 )
& ~ sP65_prd )
| sP59_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP67_prd
& sP66_prd
& op2(e21,e22) = e22 )
| sP65_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f808]) ).
fof(f810,plain,
( op2(e21,e22) = e22
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f812,plain,
( sP67_prd
| sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f815,plain,
( ~ sP65_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f816,plain,
( op2(e23,e23) = e21
| op2(e22,e22) = e21
| ~ sP67_prd
| ~ sP66_prd
| op2(e21,e22) != e22
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f809]) ).
fof(f820,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP60_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f758]) ).
fof(f821,plain,
( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f822,plain,
( op2(e20,e20) = e21
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f824,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP61_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f759]) ).
fof(f825,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f826,plain,
( op2(e21,e21) = e21
| sP61_prd ),
inference(cnf_transformation,[status(thm)],[f824]) ).
fof(f828,definition,
( sP68_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f829,plain,
( sP62_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e11) = e11 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f780,f828]) ).
fof(f830,definition,
( sP69_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f831,definition,
( sP70_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f832,plain,
( sP62_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP70_prd
& sP69_prd
& op1(e11,e11) = e11 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f829,f831,f830]) ).
fof(f833,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP70_prd
| ~ sP69_prd
| op1(e11,e11) != e11 )
& ~ sP68_prd )
| sP62_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP70_prd
& sP69_prd
& op1(e11,e11) = e11 )
| sP68_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f832]) ).
fof(f835,plain,
( sP69_prd
| sP68_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f833]) ).
fof(f844,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP63_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f782]) ).
fof(f845,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f848,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP64_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f783]) ).
fof(f849,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f848]) ).
fof(f852,definition,
( sP71_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f853,plain,
( sP65_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e21) = e21 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f804,f852]) ).
fof(f854,definition,
( sP72_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f855,definition,
( sP73_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f856,plain,
( sP65_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP73_prd
& sP72_prd
& op2(e21,e21) = e21 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f853,f855,f854]) ).
fof(f857,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP73_prd
| ~ sP72_prd
| op2(e21,e21) != e21 )
& ~ sP71_prd )
| sP65_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP73_prd
& sP72_prd
& op2(e21,e21) = e21 )
| sP71_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f856]) ).
fof(f858,plain,
( op2(e21,e21) = e21
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f857]) ).
fof(f860,plain,
( sP73_prd
| sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f857]) ).
fof(f863,plain,
( ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f857]) ).
fof(f868,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP66_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f806]) ).
fof(f870,plain,
( op2(e20,e20) = e21
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f868]) ).
fof(f872,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP67_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f807]) ).
fof(f873,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f874,plain,
( op2(e21,e21) = e21
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f872]) ).
fof(f876,definition,
( sP74_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f877,plain,
( sP68_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& op1(e11,e10) = e10 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f828,f876]) ).
fof(f878,definition,
( sP75_prd
<=> ( op1(e10,e11) != e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f879,definition,
( sP76_prd
<=> ( op1(e11,e11) != e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f880,plain,
( sP68_prd
<=> ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP76_prd
& sP75_prd
& op1(e11,e10) = e10 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f877,f879,f878]) ).
fof(f881,plain,
( ( ( ( ( op1(e13,e11) = e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) = e12
& op1(e12,e12) = e11 )
| ~ sP76_prd
| ~ sP75_prd
| op1(e11,e10) != e10 )
& ~ sP74_prd )
| sP68_prd )
& ( ( ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& sP76_prd
& sP75_prd
& op1(e11,e10) = e10 )
| sP74_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f880]) ).
fof(f883,plain,
( sP75_prd
| sP74_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f881]) ).
fof(f892,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP69_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f830]) ).
fof(f893,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f892]) ).
fof(f896,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP70_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f831]) ).
fof(f897,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f896]) ).
fof(f900,definition,
( sP77_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f901,plain,
( sP71_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& op2(e21,e20) = e20 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f852,f900]) ).
fof(f902,definition,
( sP78_prd
<=> ( op2(e20,e21) != e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f903,definition,
( sP79_prd
<=> ( op2(e21,e21) != e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f904,plain,
( sP71_prd
<=> ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP79_prd
& sP78_prd
& op2(e21,e20) = e20 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f901,f903,f902]) ).
fof(f905,plain,
( ( ( ( ( op2(e23,e21) = e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) = e22
& op2(e22,e22) = e21 )
| ~ sP79_prd
| ~ sP78_prd
| op2(e21,e20) != e20 )
& ~ sP77_prd )
| sP71_prd )
& ( ( ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& sP79_prd
& sP78_prd
& op2(e21,e20) = e20 )
| sP77_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f904]) ).
fof(f906,plain,
( op2(e21,e20) = e20
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f907,plain,
( sP78_prd
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f908,plain,
( sP79_prd
| sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f916,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP72_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f854]) ).
fof(f918,plain,
( op2(e20,e20) = e21
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f916]) ).
fof(f920,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP73_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f855]) ).
fof(f921,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f922,plain,
( op2(e21,e21) = e21
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f920]) ).
fof(f924,definition,
( sP80_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f925,plain,
( sP74_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e13) = e13 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f876,f924]) ).
fof(f926,definition,
( sP81_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f927,definition,
( sP82_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f928,plain,
( sP74_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP82_prd
& sP81_prd
& op1(e10,e13) = e13 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f925,f927,f926]) ).
fof(f929,plain,
( ( ( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP82_prd
| ~ sP81_prd
| op1(e10,e13) != e13 )
& ~ sP80_prd )
| sP74_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP82_prd
& sP81_prd
& op1(e10,e13) = e13 )
| sP80_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f928]) ).
fof(f930,plain,
( op1(e10,e13) = e13
| sP80_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f929]) ).
fof(f940,plain,
( ( ( op1(e10,e11) = e10
& op1(e10,e10) = e11 )
| sP75_prd )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f878]) ).
fof(f941,plain,
( op1(e10,e11) != e10
| op1(e10,e10) != e11
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f940]) ).
fof(f944,plain,
( ( ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| sP76_prd )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f879]) ).
fof(f945,plain,
( op1(e11,e11) != e11
| op1(e11,e11) != e11
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f944]) ).
fof(f948,definition,
( sP83_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f949,plain,
( sP77_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e23) = e23 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f900,f948]) ).
fof(f950,definition,
( sP84_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f951,definition,
( sP85_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f952,plain,
( sP77_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP85_prd
& sP84_prd
& op2(e20,e23) = e23 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f949,f951,f950]) ).
fof(f953,plain,
( ( ( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP85_prd
| ~ sP84_prd
| op2(e20,e23) != e23 )
& ~ sP83_prd )
| sP77_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP85_prd
& sP84_prd
& op2(e20,e23) = e23 )
| sP83_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f952]) ).
fof(f954,plain,
( op2(e20,e23) = e23
| sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f953]) ).
fof(f964,plain,
( ( ( op2(e20,e21) = e20
& op2(e20,e20) = e21 )
| sP78_prd )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f902]) ).
fof(f965,plain,
( op2(e20,e21) != e20
| op2(e20,e20) != e21
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f964]) ).
fof(f966,plain,
( op2(e20,e20) = e21
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f964]) ).
fof(f968,plain,
( ( ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| sP79_prd )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f903]) ).
fof(f969,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != e21
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f970,plain,
( op2(e21,e21) = e21
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f972,definition,
( sP86_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f973,plain,
( sP80_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e12) = e12 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f924,f972]) ).
fof(f974,definition,
( sP87_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f975,definition,
( sP88_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f976,plain,
( sP80_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP88_prd
& sP87_prd
& op1(e10,e12) = e12 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f973,f975,f974]) ).
fof(f977,plain,
( ( ( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP88_prd
| ~ sP87_prd
| op1(e10,e12) != e12 )
& ~ sP86_prd )
| sP80_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP88_prd
& sP87_prd
& op1(e10,e12) = e12 )
| sP86_prd
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f976]) ).
fof(f978,plain,
( op1(e10,e12) = e12
| sP86_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f988,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP81_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f926]) ).
fof(f990,plain,
( op1(e10,e10) = e10
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f988]) ).
fof(f992,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP82_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f927]) ).
fof(f995,plain,
( op1(e11,e10) = e11
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f992]) ).
fof(f996,definition,
( sP89_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f997,plain,
( sP83_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e22) = e22 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f948,f996]) ).
fof(f998,definition,
( sP90_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f999,definition,
( sP91_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f1000,plain,
( sP83_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP91_prd
& sP90_prd
& op2(e20,e22) = e22 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f997,f999,f998]) ).
fof(f1001,plain,
( ( ( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP91_prd
| ~ sP90_prd
| op2(e20,e22) != e22 )
& ~ sP89_prd )
| sP83_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP91_prd
& sP90_prd
& op2(e20,e22) = e22 )
| sP89_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f1000]) ).
fof(f1002,plain,
( op2(e20,e22) = e22
| sP89_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1001]) ).
fof(f1012,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP84_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f950]) ).
fof(f1013,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1012]) ).
fof(f1016,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP85_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f951]) ).
fof(f1017,plain,
( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1016]) ).
fof(f1020,definition,
( sP92_prd
<=> ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f1021,plain,
( sP86_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& op1(e10,e11) = e11 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f972,f1020]) ).
fof(f1022,definition,
( sP93_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f1023,definition,
( sP94_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f1024,plain,
( sP86_prd
<=> ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP94_prd
& sP93_prd
& op1(e10,e11) = e11 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f1021,f1023,f1022]) ).
fof(f1025,plain,
( ( ( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP94_prd
| ~ sP93_prd
| op1(e10,e11) != e11 )
& ~ sP92_prd )
| sP86_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP94_prd
& sP93_prd
& op1(e10,e11) = e11 )
| sP92_prd
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f1024]) ).
fof(f1030,plain,
( op1(e13,e10) != e13
| op1(e13,e13) != e10
| sP92_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1025]) ).
fof(f1036,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP87_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f974]) ).
fof(f1038,plain,
( op1(e10,e10) = e10
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1036]) ).
fof(f1040,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP88_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f975]) ).
fof(f1043,plain,
( op1(e11,e10) = e11
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1040]) ).
fof(f1044,definition,
( sP95_prd
<=> ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1045,plain,
( sP89_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& op2(e20,e21) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f996,f1044]) ).
fof(f1046,definition,
( sP96_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f1047,definition,
( sP97_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f1048,plain,
( sP89_prd
<=> ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP97_prd
& sP96_prd
& op2(e20,e21) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1045,f1047,f1046]) ).
fof(f1049,plain,
( ( ( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP97_prd
| ~ sP96_prd
| op2(e20,e21) != e21 )
& ~ sP95_prd )
| sP89_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP97_prd
& sP96_prd
& op2(e20,e21) = e21 )
| sP95_prd
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f1048]) ).
fof(f1054,plain,
( op2(e23,e20) != e23
| op2(e23,e23) != e20
| sP95_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1049]) ).
fof(f1060,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP90_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f998]) ).
fof(f1061,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1060]) ).
fof(f1064,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP91_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f999]) ).
fof(f1065,plain,
( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1064]) ).
fof(f1068,definition,
( sP98_prd
<=> ( op1(e10,e10) != e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1069,definition,
( sP99_prd
<=> ( op1(e11,e10) != e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f1070,plain,
( sP92_prd
<=> ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP99_prd
& sP98_prd
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f1020,f1069,f1068]) ).
fof(f1071,plain,
( ( ( op1(e13,e10) = e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) = e12
& op1(e12,e12) = e10 )
| ~ sP99_prd
| ~ sP98_prd
| op1(e10,e10) != e10
| sP92_prd )
& ( ( ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& sP99_prd
& sP98_prd
& op1(e10,e10) = e10 )
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1070]) ).
fof(f1076,plain,
( op1(e13,e10) != e13
| op1(e13,e13) != e10
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1071]) ).
fof(f1081,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP93_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1022]) ).
fof(f1083,plain,
( op1(e10,e10) = e10
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1081]) ).
fof(f1085,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP94_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1023]) ).
fof(f1088,plain,
( op1(e11,e10) = e11
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1085]) ).
fof(f1089,definition,
( sP100_prd
<=> ( op2(e20,e20) != e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1090,definition,
( sP101_prd
<=> ( op2(e21,e20) != e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1091,plain,
( sP95_prd
<=> ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP101_prd
& sP100_prd
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f1044,f1090,f1089]) ).
fof(f1092,plain,
( ( ( op2(e23,e20) = e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) = e22
& op2(e22,e22) = e20 )
| ~ sP101_prd
| ~ sP100_prd
| op2(e20,e20) != e20
| sP95_prd )
& ( ( ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& sP101_prd
& sP100_prd
& op2(e20,e20) = e20 )
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1091]) ).
fof(f1097,plain,
( op2(e23,e20) != e23
| op2(e23,e23) != e20
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1092]) ).
fof(f1102,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP96_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1046]) ).
fof(f1103,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1102]) ).
fof(f1106,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP97_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1047]) ).
fof(f1107,plain,
( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1106]) ).
fof(f1110,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| sP98_prd )
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1068]) ).
fof(f1112,plain,
( op1(e10,e10) = e10
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1110]) ).
fof(f1114,plain,
( ( ( op1(e11,e10) = e11
& op1(e11,e11) = e10 )
| sP99_prd )
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1069]) ).
fof(f1117,plain,
( op1(e11,e10) = e11
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1114]) ).
fof(f1118,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| sP100_prd )
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1089]) ).
fof(f1119,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != e20
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1118]) ).
fof(f1122,plain,
( ( ( op2(e21,e20) = e21
& op2(e21,e21) = e20 )
| sP101_prd )
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1090]) ).
fof(f1123,plain,
( op2(e21,e20) != e21
| op2(e21,e21) != e20
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1126,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1130,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1133,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1138,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f1126,f1129,f1132,f1135]) ).
fof(f1139,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1143,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1146,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1152,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1153,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1155,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1156,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1158,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1159,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1158]) ).
fof(f1161,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1162,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1165,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1166,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f1165]) ).
fof(f1168,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1169,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f1168]) ).
fof(f1171,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1174,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1175,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1174]) ).
fof(f1177,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f1165,f1168,f1171,f1174]) ).
fof(f1181,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1182,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1185,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1191,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1192,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f1191]) ).
fof(f1194,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1195,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1200,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f1191,f1194,f1197,f1200]) ).
fof(f1204,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1205,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1207,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1210,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1211,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1210]) ).
fof(f1213,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1214,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1213]) ).
fof(f1216,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f1204,f1207,f1210,f1213]) ).
fof(f1217,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1218,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1221,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1223,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1224,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1226,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1227,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1230,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1231,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1236,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1237,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f1236]) ).
fof(f1239,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1240,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1243,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1244,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1246,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1247,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1250,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1253,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1256,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1257,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1262,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1263,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1268,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f30,f1256,f1259,f1262,f1265]) ).
fof(f1269,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1270,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1273,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1274,plain,
( sQ45_spl
| op1(e12,e13) != e11 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1275,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1276,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1275]) ).
fof(f1278,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1279,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f1278]) ).
fof(f1282,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1283,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1286,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1289,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1291,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1292,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1291]) ).
fof(f1295,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1296,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1295]) ).
fof(f1298,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1299,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1304,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1305,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1304]) ).
fof(f1307,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f1295,f1298,f1301,f1304]) ).
fof(f1308,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1311,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1312,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1314,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1315,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1314]) ).
fof(f1317,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f1308,f1311,f1314,f1317]) ).
fof(f1321,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( sQ60_spl
| op1(e13,e13) != e10 ),
inference(component_clause,[status(thm)],[f1321]) ).
fof(f1324,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1325,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1328,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1330,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1331,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1336,plain,
( sQ13_spl
| sQ9_spl
| sQ5_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f38,f1129,f1142,f1155,f1168]) ).
fof(f1339,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f1132,f1184,f1236,f1288]) ).
fof(f1340,plain,
( sQ15_spl
| sQ11_spl
| sQ7_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f42,f1135,f1148,f1161,f1174]) ).
fof(f1343,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f1139,f1191,f1243,f1295]) ).
fof(f1344,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f1181,f1194,f1207,f1220]) ).
fof(f1350,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f1230,f1243,f1256,f1269]) ).
fof(f1353,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f1155,f1207,f1259,f1311]) ).
fof(f1356,plain,
( sQ47_spl
| sQ43_spl
| sQ39_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f58,f1239,f1252,f1265,f1278]) ).
fof(f1360,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f1285,f1298,f1311,f1324]) ).
fof(f1362,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f1288,f1301,f1314,f1327]) ).
fof(f1365,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f1174,f1226,f1278,f1330]) ).
fof(f1366,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1369,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1370,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1375,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1379,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1382,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1383,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1385,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1388,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1389,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f1388]) ).
fof(f1392,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1395,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1396,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1398,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1399,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1405,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1409,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1414,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1415,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f1405,f1408,f1411,f1414]) ).
fof(f1418,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1419,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1425,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1431,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1432,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1435,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1438,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1437]) ).
fof(f1440,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1431,f1434,f1437,f1440]) ).
fof(f1444,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1445,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1444]) ).
fof(f1447,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1448,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1450,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1451,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1454,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1457,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1458,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1461,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1464,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1467,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1470,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1471,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1474,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f1473]) ).
fof(f1476,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1477,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1476]) ).
fof(f1479,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1483,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1484,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1483]) ).
fof(f1486,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1487,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1492,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1493,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1496,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1497,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1499,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1502,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1503,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1508,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f1496,f1499,f1502,f1505]) ).
fof(f1509,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1510,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1509]) ).
fof(f1512,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1514,plain,
( sQ109_spl
| op2(e22,e23) != e21 ),
inference(component_clause,[status(thm)],[f1512]) ).
fof(f1515,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1516,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1515]) ).
fof(f1518,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1519,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1518]) ).
fof(f1522,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1523,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1525,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1526,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1528,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1529,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1528]) ).
fof(f1531,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1532,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1531]) ).
fof(f1535,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1536,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1535]) ).
fof(f1538,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1539,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1541,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1542,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1541]) ).
fof(f1544,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1547,plain,
( sQ119_spl
| sQ118_spl
| sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f81,f1535,f1538,f1541,f1544]) ).
fof(f1548,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1551,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1551]) ).
fof(f1554,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1555,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1557,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1558,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1557]) ).
fof(f1561,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
( sQ124_spl
| op2(e23,e23) != e20 ),
inference(component_clause,[status(thm)],[f1561]) ).
fof(f1564,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1567,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1570,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1575,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f1366,f1418,f1470,f1522]) ).
fof(f1576,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f1369,f1382,f1395,f1408]) ).
fof(f1577,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f1369,f1421,f1473,f1525]) ).
fof(f1580,plain,
( sQ79_spl
| sQ75_spl
| sQ71_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f90,f1375,f1388,f1401,f1414]) ).
fof(f1583,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f1379,f1431,f1483,f1535]) ).
fof(f1586,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1424,f1437,f1450,f1463]) ).
fof(f1590,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1470,f1483,f1496,f1509]) ).
fof(f1596,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f1479,f1492,f1505,f1518]) ).
fof(f1600,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f1525,f1538,f1551,f1564]) ).
fof(f1602,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f1528,f1541,f1554,f1567]) ).
fof(f1605,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f1414,f1466,f1518,f1570]) ).
fof(f1606,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( sQ63_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f242,f1606,f1330]) ).
fof(f1614,plain,
( sQ63_spl
| sQ42_spl
| sQ21_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f247,f1126,f1194,f1262,f1330]) ).
fof(f1618,plain,
( sQ12_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f251,f1135,f1165]) ).
fof(f1619,plain,
( sQ17_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f252,f1191,f1181]) ).
fof(f1622,plain,
( sQ29_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f255,f1200,f1220]) ).
fof(f1623,plain,
( sQ34_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f256,f1256,f1236]) ).
fof(f1624,plain,
( sQ38_spl
| ~ sQ41_spl ),
inference(split_clause,[status(thm)],[f257,f1259,f1249]) ).
fof(f1626,plain,
( sQ46_spl
| ~ sQ43_spl ),
inference(split_clause,[status(thm)],[f259,f1265,f1275]) ).
fof(f1627,plain,
( sQ51_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f260,f1321,f1291]) ).
fof(f1631,definition,
( sQ129_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1634,plain,
( sQ127_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f266,f1631,f1570]) ).
fof(f1639,plain,
( sQ127_spl
| sQ106_spl
| sQ85_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f271,f1366,f1434,f1502,f1570]) ).
fof(f1641,plain,
( sQ68_spl
| ~ sQ65_spl ),
inference(split_clause,[status(thm)],[f273,f1369,f1379]) ).
fof(f1642,plain,
( sQ72_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f274,f1372,f1392]) ).
fof(f1643,plain,
( sQ76_spl
| ~ sQ67_spl ),
inference(split_clause,[status(thm)],[f275,f1375,f1405]) ).
fof(f1644,plain,
( sQ81_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f276,f1431,f1421]) ).
fof(f1646,plain,
( sQ89_spl
| ~ sQ86_spl ),
inference(split_clause,[status(thm)],[f278,f1437,f1447]) ).
fof(f1647,plain,
( sQ93_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f279,f1440,f1460]) ).
fof(f1648,plain,
( sQ98_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f280,f1496,f1476]) ).
fof(f1649,plain,
( sQ102_spl
| ~ sQ105_spl ),
inference(split_clause,[status(thm)],[f281,f1499,f1489]) ).
fof(f1651,plain,
( sQ110_spl
| ~ sQ107_spl ),
inference(split_clause,[status(thm)],[f283,f1505,f1515]) ).
fof(f1652,plain,
( sQ115_spl
| ~ sQ124_spl ),
inference(split_clause,[status(thm)],[f284,f1561,f1531]) ).
fof(f1656,definition,
( sQ130_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( sQ130_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1656]) ).
fof(f1659,definition,
( sQ131_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1661,plain,
( sQ131_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1659]) ).
fof(f1662,definition,
( sQ132_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( sQ132_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1665,definition,
( sQ133_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( sQ133_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1665]) ).
fof(f1671,definition,
( sQ135_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1673,plain,
( sQ135_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1671]) ).
fof(f1677,definition,
( sQ137_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
( sQ137_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1683,definition,
( sQ139_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1685,plain,
( sQ139_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1692,definition,
( sQ142_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( sQ142_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1692]) ).
fof(f1695,definition,
( sQ143_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( sQ143_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1695]) ).
fof(f1698,definition,
( sQ144_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( sQ144_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1698]) ).
fof(f1701,definition,
( sQ145_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1703,plain,
( sQ145_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1701]) ).
fof(f1738,definition,
( sQ156_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f1740,plain,
( sQ156_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1762,definition,
( sQ164_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f1764,plain,
( sQ164_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1765,definition,
( sQ165_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1767,plain,
( sQ165_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1765]) ).
fof(f1774,definition,
( sQ168_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f1776,plain,
( sQ168_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f1774]) ).
fof(f1777,definition,
( sQ169_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1780,definition,
( sQ170_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1783,definition,
( sQ171_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1802,definition,
( sQ176_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( sQ176_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1802]) ).
fof(f1805,definition,
( sQ177_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ177_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( sQ177_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f1805]) ).
fof(f1808,definition,
( sQ178_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f1810,plain,
( sQ178_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f1808]) ).
fof(f1811,definition,
( sQ179_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f1813,plain,
( sQ179_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f1811]) ).
fof(f1814,definition,
( sQ180_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1816,plain,
( sQ180_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,definition,
( sQ181_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1819,plain,
( sQ181_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f1817]) ).
fof(f1820,definition,
( sQ182_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1822,plain,
( sQ182_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f1820]) ).
fof(f1823,definition,
( sQ183_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( sQ183_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,definition,
( sQ184_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1828,plain,
( sQ184_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1826]) ).
fof(f1829,definition,
( sQ185_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f1831,plain,
( sQ185_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f1829]) ).
fof(f1832,definition,
( sQ186_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f1834,plain,
( sQ186_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f1832]) ).
fof(f1835,definition,
( sQ187_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f1837,plain,
( sQ187_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f1835]) ).
fof(f1838,definition,
( sQ188_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1840,plain,
( sQ188_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1838]) ).
fof(f1841,definition,
( sQ189_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f1843,plain,
( sQ189_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f1841]) ).
fof(f1844,definition,
( sQ190_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ190_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1847,definition,
( sQ191_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f1849,plain,
( sQ191_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f1847]) ).
fof(f1850,definition,
( sQ192_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1853,definition,
( sQ193_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1856,definition,
( sQ194_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1867,definition,
( sQ197_spl
<=> h3(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ197_spl])],[split_symbol_definition]) ).
fof(f1869,plain,
( sQ197_spl
| h3(e12) != e23 ),
inference(component_clause,[status(thm)],[f1867]) ).
fof(f1870,plain,
( ~ sQ197_spl
| sQ194_spl
| sQ193_spl
| sQ192_spl
| ~ sQ191_spl
| ~ sQ190_spl
| ~ sQ189_spl
| ~ sQ188_spl
| ~ sQ187_spl
| ~ sQ186_spl
| ~ sQ185_spl
| ~ sQ184_spl
| ~ sQ183_spl
| ~ sQ182_spl
| ~ sQ181_spl
| ~ sQ180_spl
| ~ sQ179_spl
| ~ sQ178_spl
| ~ sQ177_spl
| ~ sQ176_spl ),
inference(split_clause,[status(thm)],[f334,f1802,f1805,f1808,f1811,f1814,f1817,f1820,f1823,f1826,f1829,f1832,f1835,f1838,f1841,f1844,f1847,f1850,f1853,f1856,f1867]) ).
fof(f1881,definition,
( sQ201_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f1883,plain,
( sQ201_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f1881]) ).
fof(f1884,definition,
( sQ202_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f1885,plain,
( ~ sQ202_spl
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1886,plain,
( sQ202_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1887,definition,
( sQ203_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1888,plain,
( ~ sQ203_spl
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1887]) ).
fof(f1889,plain,
( sQ203_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1887]) ).
fof(f1896,definition,
( sQ206_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f1897,plain,
( ~ sQ206_spl
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1896]) ).
fof(f1898,plain,
( sQ206_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f1896]) ).
fof(f1899,definition,
( sQ207_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1900,plain,
( ~ sQ207_spl
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1899]) ).
fof(f1901,plain,
( sQ207_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1899]) ).
fof(f1902,definition,
( sQ208_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
( sQ208_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f1902]) ).
fof(f1908,definition,
( sQ210_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f1910,plain,
( sQ210_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f1908]) ).
fof(f1911,definition,
( sQ211_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1913,plain,
( sQ211_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1911]) ).
fof(f1914,definition,
( sQ212_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f1915,plain,
( ~ sQ212_spl
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1914]) ).
fof(f1916,plain,
( sQ212_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f1914]) ).
fof(f1917,definition,
( sQ213_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f1918,plain,
( ~ sQ213_spl
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1917]) ).
fof(f1919,plain,
( sQ213_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f1917]) ).
fof(f1920,definition,
( sQ214_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f1922,plain,
( sQ214_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f1920]) ).
fof(f1923,definition,
( sQ215_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1926,definition,
( sQ216_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1929,definition,
( sQ217_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1944,definition,
( sQ221_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1945,plain,
( ~ sQ221_spl
| h4(e13) = e23 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1946,plain,
( sQ221_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f1944]) ).
fof(f1948,definition,
( sQ222_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1951,plain,
( sQ58_spl
| sQ222_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f346,f1606,f1948,f1314]) ).
fof(f1952,definition,
( sQ223_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1956,definition,
( sQ224_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1967,definition,
( sQ225_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1970,plain,
( sQ122_spl
| sQ225_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f362,f1631,f1967,f1554]) ).
fof(f1971,definition,
( sQ226_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1975,definition,
( sQ227_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2015,definition,
( sQ235_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2016,plain,
( ~ sQ235_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f2015]) ).
fof(f2020,definition,
( sQ236_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f2021,plain,
( ~ sQ236_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f2020]) ).
fof(f2032,definition,
( sQ239_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2033,plain,
( ~ sQ239_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f2032]) ).
fof(f2037,definition,
( sQ240_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2038,plain,
( ~ sQ240_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f2037]) ).
fof(f2040,plain,
( ~ sQ240_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f391,f1777,f2037]) ).
fof(f2045,definition,
( sQ242_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( ~ sQ242_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2049,definition,
( sQ243_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( ~ sQ243_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f2049]) ).
fof(f2054,definition,
( sQ244_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( ~ sQ244_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2054]) ).
fof(f2058,definition,
( sQ245_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2059,plain,
( ~ sQ245_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f2058]) ).
fof(f2062,definition,
( sQ246_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2063,plain,
( ~ sQ246_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f2062]) ).
fof(f2064,plain,
( sQ246_spl
| h2(e12) != e21 ),
inference(component_clause,[status(thm)],[f2062]) ).
fof(f2066,definition,
( sQ247_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2068,plain,
( sQ247_spl
| h2(e13) != e21 ),
inference(component_clause,[status(thm)],[f2066]) ).
fof(f2069,plain,
( ~ sQ247_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f400,f1780,f2066]) ).
fof(f2071,definition,
( sQ248_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2072,plain,
( ~ sQ248_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2071]) ).
fof(f2075,definition,
( sQ249_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f2076,plain,
( ~ sQ249_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2075]) ).
fof(f2078,plain,
( ~ sQ249_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f404,f1783,f2075]) ).
fof(f2079,definition,
( sQ250_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2080,plain,
( ~ sQ250_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f2079]) ).
fof(f2083,definition,
( sQ251_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f2084,plain,
( ~ sQ251_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f2083]) ).
fof(f2087,plain,
( sQ251_spl
| sQ250_spl
| sQ249_spl
| sQ248_spl
| sQ171_spl ),
inference(split_clause,[status(thm)],[f407,f1783,f2071,f2075,f2079,f2083]) ).
fof(f2088,definition,
( sQ252_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2089,plain,
( ~ sQ252_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f2088]) ).
fof(f2091,plain,
( ~ sQ252_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f409,f1850,f2088]) ).
fof(f2092,definition,
( sQ253_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2093,plain,
( ~ sQ253_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f2092]) ).
fof(f2100,definition,
( sQ255_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2101,plain,
( ~ sQ255_spl
| h3(e13) = e20 ),
inference(component_clause,[status(thm)],[f2100]) ).
fof(f2105,definition,
( sQ256_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2106,plain,
( ~ sQ256_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f2105]) ).
fof(f2109,definition,
( sQ257_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( ~ sQ257_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f2109]) ).
fof(f2111,plain,
( sQ257_spl
| h3(e11) != e21 ),
inference(component_clause,[status(thm)],[f2109]) ).
fof(f2112,plain,
( ~ sQ257_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f416,f1853,f2109]) ).
fof(f2117,definition,
( sQ259_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2118,plain,
( ~ sQ259_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f2117]) ).
fof(f2122,definition,
( sQ260_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( ~ sQ260_spl
| h3(e10) = e22 ),
inference(component_clause,[status(thm)],[f2122]) ).
fof(f2126,definition,
( sQ261_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2127,plain,
( ~ sQ261_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f2126]) ).
fof(f2134,definition,
( sQ263_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2136,plain,
( sQ263_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f2134]) ).
fof(f2137,plain,
( ~ sQ263_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f424,f1856,f2134]) ).
fof(f2139,definition,
( sQ264_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2141,plain,
( sQ264_spl
| h4(e10) != e20 ),
inference(component_clause,[status(thm)],[f2139]) ).
fof(f2142,plain,
( ~ sQ264_spl
| ~ sQ215_spl ),
inference(split_clause,[status(thm)],[f427,f1923,f2139]) ).
fof(f2143,definition,
( sQ265_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2144,plain,
( ~ sQ265_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2147,definition,
( sQ266_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2148,plain,
( ~ sQ266_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f2147]) ).
fof(f2151,definition,
( sQ267_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
( ~ sQ267_spl
| h4(e13) = e20 ),
inference(component_clause,[status(thm)],[f2151]) ).
fof(f2156,definition,
( sQ268_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2157,plain,
( ~ sQ268_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2156]) ).
fof(f2160,definition,
( sQ269_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2161,plain,
( ~ sQ269_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2160]) ).
fof(f2162,plain,
( sQ269_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f2160]) ).
fof(f2163,plain,
( ~ sQ269_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f434,f1926,f2160]) ).
fof(f2164,definition,
( sQ270_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2165,plain,
( ~ sQ270_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f2164]) ).
fof(f2173,definition,
( sQ272_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2174,plain,
( ~ sQ272_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2173]) ).
fof(f2177,definition,
( sQ273_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2178,plain,
( ~ sQ273_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2181,definition,
( sQ274_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( ~ sQ274_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2183,plain,
( sQ274_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2184,plain,
( ~ sQ274_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f441,f1929,f2181]) ).
fof(f2190,definition,
( sQ276_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2193,plain,
( sQ53_spl
| sQ276_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f450,f1948,f2190,f1298]) ).
fof(f2194,definition,
( sQ277_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2198,definition,
( sQ278_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2210,plain,
( sQ3_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f462,f1952,f1135]) ).
fof(f2213,plain,
( sQ23_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f466,f1956,f1200]) ).
fof(f2215,definition,
( sQ279_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2218,plain,
( sQ117_spl
| sQ279_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f474,f1967,f2215,f1538]) ).
fof(f2219,definition,
( sQ280_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2223,definition,
( sQ281_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2232,plain,
( sQ127_spl
| sQ110_spl
| ~ sQ281_spl
| ~ sQ280_spl
| ~ sQ117_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f482,f1967,f1538,f2219,f2223,f1515,f1570]) ).
fof(f2235,plain,
( sQ67_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f486,f1971,f1375]) ).
fof(f2238,plain,
( sQ87_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f490,f1975,f1440]) ).
fof(f2240,definition,
( sQ282_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2243,plain,
( sQ48_spl
| sQ282_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f498,f2190,f2240,f1282]) ).
fof(f2244,definition,
( sQ283_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2248,definition,
( sQ284_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2260,plain,
( sQ3_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f510,f2194,f1135]) ).
fof(f2263,plain,
( sQ23_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f514,f2198,f1200]) ).
fof(f2265,definition,
( sQ285_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2268,plain,
( sQ112_spl
| sQ285_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f522,f2215,f2265,f1522]) ).
fof(f2269,definition,
( sQ286_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2273,definition,
( sQ287_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2285,plain,
( sQ67_spl
| sQ280_spl ),
inference(split_clause,[status(thm)],[f534,f2219,f1375]) ).
fof(f2288,plain,
( sQ87_spl
| sQ281_spl ),
inference(split_clause,[status(thm)],[f538,f2223,f1440]) ).
fof(f2290,definition,
( sQ288_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2293,plain,
( sQ47_spl
| sQ288_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f546,f2240,f2290,f1278]) ).
fof(f2294,definition,
( sQ289_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2298,definition,
( sQ290_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2310,plain,
( sQ3_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f558,f2244,f1135]) ).
fof(f2313,plain,
( sQ23_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f562,f2248,f1200]) ).
fof(f2315,definition,
( sQ291_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
( sQ111_spl
| sQ291_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f570,f2265,f2315,f1518]) ).
fof(f2319,definition,
( sQ292_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2323,definition,
( sQ293_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2335,plain,
( sQ67_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f582,f2269,f1375]) ).
fof(f2338,plain,
( sQ87_spl
| sQ287_spl ),
inference(split_clause,[status(thm)],[f586,f2273,f1440]) ).
fof(f2340,definition,
( sQ294_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2343,plain,
( sQ42_spl
| sQ294_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f594,f2290,f2340,f1262]) ).
fof(f2344,definition,
( sQ295_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2348,definition,
( sQ296_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2352,plain,
( ~ sQ42_spl
| sQ294_spl
| ~ sQ288_spl ),
inference(split_clause,[status(thm)],[f597,f2290,f2340,f1262]) ).
fof(f2361,plain,
( sQ8_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f607,f2294,f1152]) ).
fof(f2363,plain,
( sQ22_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f610,f2298,f1197]) ).
fof(f2365,definition,
( sQ297_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2368,plain,
( sQ106_spl
| sQ297_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f618,f2315,f2365,f1502]) ).
fof(f2369,definition,
( sQ298_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2373,definition,
( sQ299_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
( ~ sQ106_spl
| sQ297_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f621,f2315,f2365,f1502]) ).
fof(f2385,plain,
( sQ66_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f630,f2319,f1372]) ).
fof(f2388,plain,
( sQ86_spl
| sQ293_spl ),
inference(split_clause,[status(thm)],[f634,f2323,f1437]) ).
fof(f2390,definition,
( sQ300_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2393,plain,
( sQ37_spl
| sQ300_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f642,f2340,f2390,f1246]) ).
fof(f2394,definition,
( sQ301_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2398,definition,
( sQ302_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2411,plain,
( sQ8_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f655,f2344,f1152]) ).
fof(f2413,plain,
( sQ22_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f658,f2348,f1197]) ).
fof(f2415,definition,
( sQ303_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2418,plain,
( sQ101_spl
| sQ303_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f666,f2365,f2415,f1486]) ).
fof(f2419,definition,
( sQ304_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2423,definition,
( sQ305_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2435,plain,
( sQ66_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f678,f2369,f1372]) ).
fof(f2438,plain,
( sQ86_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f682,f2373,f1437]) ).
fof(f2440,definition,
( sQ306_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2443,plain,
( sQ32_spl
| sQ306_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f690,f2390,f2440,f1230]) ).
fof(f2444,definition,
( sQ307_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2448,definition,
( sQ308_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2452,plain,
( ~ sQ42_spl
| sQ306_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f693,f2390,f2440,f1262]) ).
fof(f2461,plain,
( sQ8_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f703,f2394,f1152]) ).
fof(f2463,plain,
( sQ22_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f706,f2398,f1197]) ).
fof(f2465,definition,
( sQ309_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2468,plain,
( sQ96_spl
| sQ309_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f714,f2415,f2465,f1470]) ).
fof(f2469,definition,
( sQ310_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2473,definition,
( sQ311_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2477,plain,
( ~ sQ106_spl
| sQ309_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f717,f2415,f2465,f1502]) ).
fof(f2485,plain,
( sQ66_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f726,f2419,f1372]) ).
fof(f2488,plain,
( sQ86_spl
| sQ305_spl ),
inference(split_clause,[status(thm)],[f730,f2423,f1437]) ).
fof(f2490,definition,
( sQ312_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f2494,definition,
( sQ313_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2497,plain,
( sQ313_spl
| sQ312_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f739,f2440,f2490,f2494]) ).
fof(f2498,definition,
( sQ314_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2511,plain,
( sQ8_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f751,f2444,f1152]) ).
fof(f2513,plain,
( sQ22_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f754,f2448,f1197]) ).
fof(f2515,definition,
( sQ315_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2519,definition,
( sQ316_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2522,plain,
( sQ316_spl
| sQ315_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f763,f2465,f2515,f2519]) ).
fof(f2523,definition,
( sQ317_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2526,plain,
( sQ317_spl
| sQ315_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f764,f2465,f2515,f2523]) ).
fof(f2535,plain,
( sQ66_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f774,f2469,f1372]) ).
fof(f2538,plain,
( sQ86_spl
| sQ311_spl ),
inference(split_clause,[status(thm)],[f778,f2473,f1437]) ).
fof(f2540,definition,
( sQ318_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f2544,definition,
( sQ319_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( sQ319_spl
| sQ318_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f787,f2490,f2540,f2544]) ).
fof(f2548,definition,
( sQ320_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f797,f2494,f1129,f1139]) ).
fof(f2562,plain,
( ~ sQ21_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f801,f2498,f1194]) ).
fof(f2565,definition,
( sQ321_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( sQ90_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f810,f2515,f2565,f1450]) ).
fof(f2569,definition,
( sQ322_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2573,definition,
( sQ323_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f2576,plain,
( sQ323_spl
| sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f812,f2515,f2565,f2573]) ).
fof(f2579,plain,
( ~ sQ321_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f815,f2515,f2565]) ).
fof(f2580,plain,
( sQ125_spl
| sQ105_spl
| ~ sQ323_spl
| ~ sQ322_spl
| ~ sQ90_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f816,f2515,f1450,f2569,f2573,f1499,f1564]) ).
fof(f2584,plain,
( ~ sQ68_spl
| ~ sQ65_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f821,f2519,f1369,f1379]) ).
fof(f2585,plain,
( sQ65_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f822,f2519,f1369]) ).
fof(f2587,plain,
( ~ sQ85_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f825,f2523,f1434]) ).
fof(f2588,plain,
( sQ85_spl
| sQ317_spl ),
inference(split_clause,[status(thm)],[f826,f2523,f1434]) ).
fof(f2590,definition,
( sQ324_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f2594,definition,
( sQ325_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2597,plain,
( sQ325_spl
| sQ324_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f835,f2540,f2590,f2594]) ).
fof(f2598,definition,
( sQ326_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2609,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f845,f2544,f1129,f1139]) ).
fof(f2612,plain,
( ~ sQ21_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f849,f2548,f1194]) ).
fof(f2615,definition,
( sQ327_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2618,plain,
( sQ85_spl
| sQ327_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f858,f2565,f2615,f1434]) ).
fof(f2619,definition,
( sQ328_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2623,definition,
( sQ329_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f2626,plain,
( sQ329_spl
| sQ327_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f860,f2565,f2615,f2623]) ).
fof(f2629,plain,
( ~ sQ327_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f863,f2565,f2615]) ).
fof(f2635,plain,
( sQ65_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f870,f2569,f1369]) ).
fof(f2637,plain,
( ~ sQ85_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f873,f2573,f1434]) ).
fof(f2638,plain,
( sQ85_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f874,f2573,f1434]) ).
fof(f2640,definition,
( sQ330_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f2644,definition,
( sQ331_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2647,plain,
( sQ331_spl
| sQ330_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f883,f2590,f2640,f2644]) ).
fof(f2648,definition,
( sQ332_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2659,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f893,f2594,f1129,f1139]) ).
fof(f2662,plain,
( ~ sQ21_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f897,f2598,f1194]) ).
fof(f2665,definition,
( sQ333_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2668,plain,
( sQ80_spl
| sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f906,f2615,f2665,f1418]) ).
fof(f2669,definition,
( sQ334_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f2672,plain,
( sQ334_spl
| sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f907,f2615,f2665,f2669]) ).
fof(f2673,definition,
( sQ335_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f2676,plain,
( sQ335_spl
| sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f908,f2615,f2665,f2673]) ).
fof(f2685,plain,
( sQ65_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f918,f2619,f1369]) ).
fof(f2687,plain,
( ~ sQ85_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f921,f2623,f1434]) ).
fof(f2688,plain,
( sQ85_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f922,f2623,f1434]) ).
fof(f2690,definition,
( sQ336_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f2693,plain,
( sQ15_spl
| sQ336_spl
| ~ sQ330_spl ),
inference(split_clause,[status(thm)],[f930,f2640,f2690,f1174]) ).
fof(f2694,definition,
( sQ337_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2698,definition,
( sQ338_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2709,plain,
( ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ331_spl ),
inference(split_clause,[status(thm)],[f941,f2644,f1129,f1139]) ).
fof(f2712,plain,
( ~ sQ21_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f945,f2648,f1194]) ).
fof(f2715,definition,
( sQ339_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2718,plain,
( sQ79_spl
| sQ339_spl
| ~ sQ333_spl ),
inference(split_clause,[status(thm)],[f954,f2665,f2715,f1414]) ).
fof(f2719,definition,
( sQ340_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2723,definition,
( sQ341_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f2734,plain,
( ~ sQ68_spl
| ~ sQ65_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f965,f2669,f1369,f1379]) ).
fof(f2735,plain,
( sQ65_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f966,f2669,f1369]) ).
fof(f2737,plain,
( ~ sQ85_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f969,f2673,f1434]) ).
fof(f2738,plain,
( sQ85_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f970,f2673,f1434]) ).
fof(f2740,definition,
( sQ342_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f2743,plain,
( sQ10_spl
| sQ342_spl
| ~ sQ336_spl ),
inference(split_clause,[status(thm)],[f978,f2690,f2740,f1158]) ).
fof(f2744,definition,
( sQ343_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2748,definition,
( sQ344_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2760,plain,
( sQ0_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f990,f2694,f1126]) ).
fof(f2764,plain,
( sQ17_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f995,f2698,f1181]) ).
fof(f2765,definition,
( sQ345_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2768,plain,
( sQ74_spl
| sQ345_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f1002,f2715,f2765,f1398]) ).
fof(f2769,definition,
( sQ346_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2773,definition,
( sQ347_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f2784,plain,
( ~ sQ64_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f1013,f2719,f1366]) ).
fof(f2787,plain,
( ~ sQ81_spl
| ~ sQ84_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1017,f2723,f1431,f1421]) ).
fof(f2790,definition,
( sQ348_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2794,definition,
( sQ349_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2798,definition,
( sQ350_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2803,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| sQ348_spl
| ~ sQ342_spl ),
inference(split_clause,[status(thm)],[f1030,f2740,f2790,f1321,f1291]) ).
fof(f2810,plain,
( sQ0_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1038,f2744,f1126]) ).
fof(f2814,plain,
( sQ17_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f1043,f2748,f1181]) ).
fof(f2815,definition,
( sQ351_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2819,definition,
( sQ352_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2823,definition,
( sQ353_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f2828,plain,
( ~ sQ115_spl
| ~ sQ124_spl
| sQ351_spl
| ~ sQ345_spl ),
inference(split_clause,[status(thm)],[f1054,f2765,f2815,f1561,f1531]) ).
fof(f2834,plain,
( ~ sQ64_spl
| ~ sQ346_spl ),
inference(split_clause,[status(thm)],[f1061,f2769,f1366]) ).
fof(f2837,plain,
( ~ sQ81_spl
| ~ sQ84_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1065,f2773,f1431,f1421]) ).
fof(f2841,definition,
( sQ354_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2845,definition,
( sQ355_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2850,plain,
( ~ sQ51_spl
| ~ sQ60_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1076,f2790,f1321,f1291]) ).
fof(f2856,plain,
( sQ0_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f1083,f2794,f1126]) ).
fof(f2860,plain,
( sQ17_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1088,f2798,f1181]) ).
fof(f2862,definition,
( sQ356_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f2866,definition,
( sQ357_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2871,plain,
( ~ sQ115_spl
| ~ sQ124_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1097,f2815,f1561,f1531]) ).
fof(f2876,plain,
( ~ sQ64_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1103,f2819,f1366]) ).
fof(f2879,plain,
( ~ sQ81_spl
| ~ sQ84_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1107,f2823,f1431,f1421]) ).
fof(f2883,plain,
( sQ0_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f1112,f2841,f1126]) ).
fof(f2887,plain,
( sQ17_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1117,f2845,f1181]) ).
fof(f2888,plain,
( ~ sQ64_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1119,f2862,f1366]) ).
fof(f2891,plain,
( ~ sQ81_spl
| ~ sQ84_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1123,f2866,f1431,f1421]) ).
fof(f2896,plain,
( sQ188_spl
| h3(op1(e13,e10)) != op2(e22,h3(e10)) ),
inference(backward_demodulation,[status(thm)],[f302,f1840]) ).
fof(f2897,plain,
( sQ189_spl
| h3(op1(e13,e11)) != op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f302,f1843]) ).
fof(f2898,plain,
( sQ190_spl
| h3(op1(e13,e12)) != op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f302,f1846]) ).
fof(f2899,plain,
( sQ191_spl
| h3(op1(e13,e13)) != op2(h3(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f302,f1849]) ).
fof(f2901,plain,
( sQ191_spl
| h3(op1(e13,e13)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f302,f2899]) ).
fof(f2902,plain,
( sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f306,f1946]) ).
fof(f2903,plain,
sQ221_spl,
inference(contradiction_clause,[status(thm)],[f2902]) ).
fof(f2905,plain,
op1(e13,e11) != e10,
inference(backward_demodulation,[status(thm)],[f288,f162]) ).
fof(f2910,plain,
( sQ214_spl
| h4(e10) != op2(h4(e13),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f288,f1922]) ).
fof(f2911,plain,
e11 = op1(op1(e10,e13),e13),
inference(forward_demodulation,[status(thm)],[f288,f289]) ).
fof(f2912,plain,
e11 = op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f2919,f2911]) ).
fof(f2913,plain,
( sQ202_spl
| h4(e12) != op2(h4(e10),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f2919,f1886]) ).
fof(f2914,plain,
op1(e10,e12) != e12,
inference(backward_demodulation,[status(thm)],[f2919,f145]) ).
fof(f2915,plain,
op1(e10,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2919,f144]) ).
fof(f2916,plain,
op1(e10,e10) != e12,
inference(backward_demodulation,[status(thm)],[f2919,f142]) ).
fof(f2919,plain,
e12 = op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f288,f290]) ).
fof(f2921,plain,
op2(e23,e21) != e20,
inference(backward_demodulation,[status(thm)],[f291,f210]) ).
fof(f2931,plain,
( sQ187_spl
| h3(op1(e12,e13)) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f302,f1837]) ).
fof(f2932,plain,
( sQ201_spl
| ~ sQ274_spl
| h4(op1(e10,e12)) != op2(h4(e10),e22) ),
inference(backward_demodulation,[status(thm)],[f2182,f1883]) ).
fof(f2935,plain,
( sQ208_spl
| ~ sQ274_spl
| h4(op1(e12,e11)) != op2(e22,h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f2182,f1904]) ).
fof(f2944,plain,
e21 = op2(op2(e20,e23),e23),
inference(forward_demodulation,[status(thm)],[f291,f292]) ).
fof(f2945,plain,
e21 = op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f2951,f2944]) ).
fof(f2946,plain,
op2(e20,e22) != e22,
inference(backward_demodulation,[status(thm)],[f2951,f193]) ).
fof(f2951,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f291,f293]) ).
fof(f2953,plain,
h1(e10) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f295,f188]) ).
fof(f2955,plain,
h1(e10) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f295,f165]) ).
fof(f2957,plain,
h1(e11) = op2(op2(h1(e10),e20),e20),
inference(forward_demodulation,[status(thm)],[f295,f296]) ).
fof(f2958,plain,
h1(e11) = op2(h1(e12),e20),
inference(backward_demodulation,[status(thm)],[f2959,f2957]) ).
fof(f2959,plain,
h1(e12) = op2(h1(e10),e20),
inference(forward_demodulation,[status(thm)],[f295,f297]) ).
fof(f2970,plain,
( sQ213_spl
| ~ sQ274_spl
| h4(op1(e13,e12)) != op2(h4(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f2182,f1919]) ).
fof(f2971,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2165,f2182]) ).
fof(f2972,plain,
( ~ sQ274_spl
| ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2971,f221]) ).
fof(f2973,plain,
( ~ sQ274_spl
| ~ sQ270_spl ),
inference(contradiction_clause,[status(thm)],[f2972]) ).
fof(f2980,plain,
op2(e21,e20) != h2(e10),
inference(backward_demodulation,[status(thm)],[f299,f194]) ).
fof(f2981,plain,
h2(e10) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f299,f174]) ).
fof(f2983,plain,
op2(e20,e21) != h2(e10),
inference(backward_demodulation,[status(thm)],[f299,f170]) ).
fof(f2984,plain,
h2(e11) = op2(op2(h2(e10),e21),e21),
inference(forward_demodulation,[status(thm)],[f299,f300]) ).
fof(f2985,plain,
h2(e11) = op2(h2(e12),e21),
inference(backward_demodulation,[status(thm)],[f2986,f2984]) ).
fof(f2986,plain,
h2(e12) = op2(h2(e10),e21),
inference(forward_demodulation,[status(thm)],[f299,f301]) ).
fof(f2989,plain,
op2(e22,e20) != h3(e10),
inference(backward_demodulation,[status(thm)],[f303,f201]) ).
fof(f2990,plain,
h3(e10) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f303,f181]) ).
fof(f2991,plain,
op2(e21,e22) != h3(e10),
inference(backward_demodulation,[status(thm)],[f303,f179]) ).
fof(f2992,plain,
op2(e20,e22) != h3(e10),
inference(backward_demodulation,[status(thm)],[f303,f177]) ).
fof(f2993,plain,
h3(e11) = op2(op2(h3(e10),e22),e22),
inference(forward_demodulation,[status(thm)],[f303,f304]) ).
fof(f2994,plain,
( ~ sQ273_spl
| ~ sQ269_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2161,f2178]) ).
fof(f2995,plain,
( ~ sQ273_spl
| ~ sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2994,f221]) ).
fof(f2996,plain,
( ~ sQ273_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f2995]) ).
fof(f3008,plain,
h3(e11) = op2(h3(e12),e22),
inference(backward_demodulation,[status(thm)],[f3009,f2993]) ).
fof(f3009,plain,
h3(e12) = op2(h3(e10),e22),
inference(forward_demodulation,[status(thm)],[f303,f305]) ).
fof(f3010,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f291,f307]) ).
fof(f3011,plain,
h4(e11) = op2(op2(e20,e23),e23),
inference(forward_demodulation,[status(thm)],[f291,f308]) ).
fof(f3015,plain,
h4(e11) = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f2951,f3011]) ).
fof(f3016,plain,
h4(e12) = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f291,f309]) ).
fof(f3017,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f2951,f3016]) ).
fof(f3020,plain,
( ~ sQ122_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f1555,f180]) ).
fof(f3022,plain,
( ~ sQ266_spl
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f2148,f3017]) ).
fof(f3023,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3022,f219]) ).
fof(f3024,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f3023]) ).
fof(f3026,plain,
( ~ sQ58_spl
| op1(e13,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1315,f161]) ).
fof(f3028,plain,
( ~ sQ58_spl
| op1(e12,e12) != e12 ),
inference(backward_demodulation,[status(thm)],[f1315,f133]) ).
fof(f3031,plain,
( sQ183_spl
| h3(op1(e11,e13)) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f302,f1825]) ).
fof(f3032,plain,
( sQ179_spl
| h3(e12) != op2(h3(e10),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f2919,f1813]) ).
fof(f3033,plain,
( sQ179_spl
| h3(e12) != op2(h3(e10),e22) ),
inference(forward_demodulation,[status(thm)],[f302,f3032]) ).
fof(f3034,plain,
( sQ179_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3009,f3033]) ).
fof(f3035,plain,
( sQ179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3034]) ).
fof(f3036,plain,
sQ179_spl,
inference(contradiction_clause,[status(thm)],[f3035]) ).
fof(f3058,plain,
( sQ168_spl
| h2(e10) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f288,f1776]) ).
fof(f3059,plain,
( sQ168_spl
| h2(e10) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f298,f3058]) ).
fof(f3060,plain,
( sQ168_spl
| h2(e10) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f298,f3059]) ).
fof(f3061,plain,
( sQ168_spl
| h2(e10) != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f299,f3060]) ).
fof(f3062,plain,
( sQ168_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3061]) ).
fof(f3063,plain,
sQ168_spl,
inference(contradiction_clause,[status(thm)],[f3062]) ).
fof(f3076,plain,
( ~ sQ259_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2118,f302]) ).
fof(f3077,plain,
( ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3076,f221]) ).
fof(f3078,plain,
~ sQ259_spl,
inference(contradiction_clause,[status(thm)],[f3077]) ).
fof(f3087,plain,
( sQ165_spl
| h2(op1(e13,e10)) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f298,f1767]) ).
fof(f3088,plain,
( sQ164_spl
| h2(op1(e12,e13)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f298,f1764]) ).
fof(f3089,plain,
( ~ sQ261_spl
| ~ sQ257_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2110,f2127]) ).
fof(f3090,plain,
( ~ sQ261_spl
| ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3089,f221]) ).
fof(f3091,plain,
( ~ sQ261_spl
| ~ sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f3090]) ).
fof(f3098,plain,
( sQ156_spl
| h2(e12) != op2(h2(e10),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2919,f1740]) ).
fof(f3099,plain,
( sQ156_spl
| h2(e12) != op2(h2(e10),e21) ),
inference(forward_demodulation,[status(thm)],[f298,f3098]) ).
fof(f3100,plain,
( sQ156_spl
| h2(e12) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f2986,f3099]) ).
fof(f3101,plain,
( sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3100]) ).
fof(f3102,plain,
sQ156_spl,
inference(contradiction_clause,[status(thm)],[f3101]) ).
fof(f3105,plain,
( sQ145_spl
| h1(e10) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f288,f1703]) ).
fof(f3106,plain,
( sQ145_spl
| h1(e10) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f294,f3105]) ).
fof(f3107,plain,
( sQ145_spl
| h1(e10) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f294,f3106]) ).
fof(f3108,plain,
( sQ145_spl
| h1(e10) != h1(e10) ),
inference(forward_demodulation,[status(thm)],[f295,f3107]) ).
fof(f3109,plain,
( sQ145_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3108]) ).
fof(f3110,plain,
sQ145_spl,
inference(contradiction_clause,[status(thm)],[f3109]) ).
fof(f3116,plain,
( sQ143_spl
| h1(op1(e13,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f294,f1697]) ).
fof(f3117,plain,
( sQ142_spl
| h1(op1(e13,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f294,f1694]) ).
fof(f3118,plain,
( ~ sQ251_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f298,f2084]) ).
fof(f3119,plain,
( ~ sQ251_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3118,f221]) ).
fof(f3120,plain,
~ sQ251_spl,
inference(contradiction_clause,[status(thm)],[f3119]) ).
fof(f3141,plain,
( sQ137_spl
| h1(op1(e11,e13)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f1679]) ).
fof(f3147,plain,
( ~ sQ250_spl
| ~ sQ246_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2063,f2080]) ).
fof(f3148,plain,
( ~ sQ250_spl
| ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3147,f221]) ).
fof(f3149,plain,
( ~ sQ250_spl
| ~ sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f3148]) ).
fof(f3155,plain,
( sQ133_spl
| h1(e12) != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f2919,f1667]) ).
fof(f3156,plain,
( sQ133_spl
| h1(e12) != op2(h1(e10),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f3155]) ).
fof(f3157,plain,
( sQ133_spl
| h1(e12) != h1(e12) ),
inference(forward_demodulation,[status(thm)],[f2959,f3156]) ).
fof(f3158,plain,
( sQ133_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3157]) ).
fof(f3159,plain,
sQ133_spl,
inference(contradiction_clause,[status(thm)],[f3158]) ).
fof(f3162,plain,
( ~ sQ249_spl
| ~ sQ245_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2059,f2076]) ).
fof(f3163,plain,
( ~ sQ249_spl
| ~ sQ245_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3162,f221]) ).
fof(f3164,plain,
( ~ sQ249_spl
| ~ sQ245_spl ),
inference(contradiction_clause,[status(thm)],[f3163]) ).
fof(f3170,plain,
( ~ sQ248_spl
| ~ sQ244_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f2055,f2072]) ).
fof(f3171,plain,
( ~ sQ248_spl
| ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3170,f221]) ).
fof(f3172,plain,
( ~ sQ248_spl
| ~ sQ244_spl ),
inference(contradiction_clause,[status(thm)],[f3171]) ).
fof(f3173,plain,
( ~ sQ243_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f2050,f298]) ).
fof(f3174,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3173,f218]) ).
fof(f3175,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f3174]) ).
fof(f3179,plain,
( ~ sQ118_spl
| op2(e22,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1542,f175]) ).
fof(f3180,plain,
( ~ sQ118_spl
| op2(e20,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f1542,f172]) ).
fof(f3183,plain,
( ~ sQ239_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f294,f2033]) ).
fof(f3184,plain,
( ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3183,f219]) ).
fof(f3185,plain,
~ sQ239_spl,
inference(contradiction_clause,[status(thm)],[f3184]) ).
fof(f3198,plain,
( ~ sQ77_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f1409,f2951]) ).
fof(f3199,plain,
( ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3198,f221]) ).
fof(f3200,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f3199]) ).
fof(f3201,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1552,f1555]) ).
fof(f3202,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3201,f221]) ).
fof(f3203,plain,
( ~ sQ122_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f3202]) ).
fof(f3205,plain,
( sQ124_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f291,f1563]) ).
fof(f3206,plain,
( sQ124_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3205]) ).
fof(f3207,plain,
sQ124_spl,
inference(contradiction_clause,[status(thm)],[f3206]) ).
fof(f3210,plain,
( ~ sQ115_spl
| ~ sQ114_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f1529,f1532]) ).
fof(f3211,plain,
( ~ sQ115_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3210,f223]) ).
fof(f3212,plain,
( ~ sQ115_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f3211]) ).
fof(f3218,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f1510,f1513]) ).
fof(f3219,plain,
( ~ sQ109_spl
| ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3218,f218]) ).
fof(f3220,plain,
( ~ sQ109_spl
| ~ sQ108_spl ),
inference(contradiction_clause,[status(thm)],[f3219]) ).
fof(f3236,plain,
( ~ sQ235_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f294,f2016]) ).
fof(f3237,plain,
( ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3236,f218]) ).
fof(f3238,plain,
~ sQ235_spl,
inference(contradiction_clause,[status(thm)],[f3237]) ).
fof(f3249,plain,
( ~ sQ91_spl
| op2(e20,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1454,f176]) ).
fof(f3252,plain,
( ~ sQ103_spl
| op2(e20,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1493,f171]) ).
fof(f3259,plain,
( ~ sQ267_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2152,f306]) ).
fof(f3260,plain,
( ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3259,f220]) ).
fof(f3261,plain,
~ sQ267_spl,
inference(contradiction_clause,[status(thm)],[f3260]) ).
fof(f3263,plain,
( ~ sQ75_spl
| ~ sQ73_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f1396,f1402]) ).
fof(f3264,plain,
( ~ sQ75_spl
| ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3263,f222]) ).
fof(f3265,plain,
( ~ sQ75_spl
| ~ sQ73_spl ),
inference(contradiction_clause,[status(thm)],[f3264]) ).
fof(f3272,plain,
( ~ sQ103_spl
| ~ sQ100_spl
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f1484,f1493]) ).
fof(f3273,plain,
( ~ sQ103_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3272,f220]) ).
fof(f3274,plain,
( ~ sQ103_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f3273]) ).
fof(f3275,plain,
( sQ188_spl
| ~ sQ252_spl
| h3(op1(e13,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2089,f2896]) ).
fof(f3293,plain,
( ~ sQ54_spl
| op1(e12,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1302,f127]) ).
fof(f3294,plain,
( ~ sQ54_spl
| op1(e11,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1302,f126]) ).
fof(f3303,plain,
( ~ sQ45_spl
| op1(e12,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1273,f156]) ).
fof(f3305,plain,
( ~ sQ13_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f1169,f2919]) ).
fof(f3306,plain,
( ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3305,f215]) ).
fof(f3307,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f3306]) ).
fof(f3318,plain,
( sQ60_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f288,f1323]) ).
fof(f3319,plain,
( sQ60_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3318]) ).
fof(f3320,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f3319]) ).
fof(f3322,plain,
( sQ144_spl
| h1(op1(e13,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f294,f1700]) ).
fof(f3326,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f1289,f1292]) ).
fof(f3327,plain,
( ~ sQ51_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3326,f217]) ).
fof(f3328,plain,
( ~ sQ51_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f3327]) ).
fof(f3330,plain,
( ~ sQ58_spl
| ~ sQ54_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1302,f3026]) ).
fof(f3331,plain,
( ~ sQ58_spl
| ~ sQ54_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3330]) ).
fof(f3332,plain,
( ~ sQ58_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f3331]) ).
fof(f3336,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| e10 = e11 ),
inference(backward_demodulation,[status(thm)],[f1270,f1273]) ).
fof(f3337,plain,
( ~ sQ45_spl
| ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3336,f212]) ).
fof(f3338,plain,
( ~ sQ45_spl
| ~ sQ44_spl ),
inference(contradiction_clause,[status(thm)],[f3337]) ).
fof(f3343,plain,
( sQ191_spl
| h3(e10) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f288,f2901]) ).
fof(f3344,plain,
( sQ191_spl
| ~ sQ252_spl
| e20 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2089,f3343]) ).
fof(f3350,plain,
( ~ sQ269_spl
| ~ sQ265_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2144,f2161]) ).
fof(f3351,plain,
( ~ sQ269_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3350,f218]) ).
fof(f3352,plain,
( ~ sQ269_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f3351]) ).
fof(f3356,plain,
( ~ sQ272_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f3010,f2174]) ).
fof(f3357,plain,
( ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3356,f219]) ).
fof(f3358,plain,
~ sQ272_spl,
inference(contradiction_clause,[status(thm)],[f3357]) ).
fof(f3359,plain,
( sQ264_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f3010,f2141]) ).
fof(f3360,plain,
( sQ264_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3359]) ).
fof(f3361,plain,
sQ264_spl,
inference(contradiction_clause,[status(thm)],[f3360]) ).
fof(f3370,plain,
( ~ sQ268_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f3010,f2157]) ).
fof(f3371,plain,
( ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3370,f218]) ).
fof(f3372,plain,
~ sQ268_spl,
inference(contradiction_clause,[status(thm)],[f3371]) ).
fof(f3376,plain,
( ~ sQ27_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1214,f128]) ).
fof(f3383,plain,
( ~ sQ39_spl
| op1(e10,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1253,f123]) ).
fof(f3387,plain,
( sQ214_spl
| e20 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3010,f2910]) ).
fof(f3388,plain,
( sQ214_spl
| ~ sQ221_spl
| e20 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1945,f3387]) ).
fof(f3389,plain,
( sQ214_spl
| ~ sQ221_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f3388]) ).
fof(f3390,plain,
( sQ214_spl
| ~ sQ221_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f291,f3389]) ).
fof(f3391,plain,
( sQ214_spl
| ~ sQ221_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3390]) ).
fof(f3392,plain,
( sQ214_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f3391]) ).
fof(f3397,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f1156,f1162]) ).
fof(f3398,plain,
( ~ sQ11_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3397,f216]) ).
fof(f3399,plain,
( ~ sQ11_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f3398]) ).
fof(f3406,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f1244,f1253]) ).
fof(f3407,plain,
( ~ sQ39_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3406,f214]) ).
fof(f3408,plain,
( ~ sQ39_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f3407]) ).
fof(f3412,plain,
( sQ202_spl
| e22 != op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3017,f2913]) ).
fof(f3413,plain,
( sQ202_spl
| e22 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3010,f3412]) ).
fof(f3414,plain,
( sQ202_spl
| ~ sQ221_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f3413]) ).
fof(f3415,plain,
( ~ sQ255_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f2101,f302]) ).
fof(f3416,plain,
( ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3415,f219]) ).
fof(f3417,plain,
~ sQ255_spl,
inference(contradiction_clause,[status(thm)],[f3416]) ).
fof(f3443,plain,
( ~ sQ125_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f291,f1565]) ).
fof(f3444,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3443,f218]) ).
fof(f3445,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f3444]) ).
fof(f3448,plain,
( sQ210_spl
| h4(op1(e12,e13)) != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3017,f1910]) ).
fof(f3449,plain,
( sQ210_spl
| ~ sQ221_spl
| h4(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f3448]) ).
fof(f3450,plain,
( ~ sQ257_spl
| ~ sQ253_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2093,f2110]) ).
fof(f3451,plain,
( ~ sQ257_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3450,f218]) ).
fof(f3452,plain,
( ~ sQ257_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f3451]) ).
fof(f3453,plain,
( ~ sQ256_spl
| ~ sQ252_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2089,f2106]) ).
fof(f3454,plain,
( ~ sQ256_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3453,f218]) ).
fof(f3455,plain,
( ~ sQ256_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3461,plain,
( ~ sQ61_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f288,f1325]) ).
fof(f3462,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3461,f212]) ).
fof(f3463,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f3462]) ).
fof(f3518,plain,
( ~ sQ62_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f288,f1328]) ).
fof(f3519,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3518,f213]) ).
fof(f3520,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f3519]) ).
fof(f3524,plain,
( ~ sQ63_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f288,f1331]) ).
fof(f3525,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3524,f214]) ).
fof(f3526,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f3525]) ).
fof(f3529,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1250,f3293]) ).
fof(f3530,plain,
( ~ sQ54_spl
| ~ sQ38_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3529]) ).
fof(f3531,plain,
( ~ sQ54_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f3530]) ).
fof(f3542,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1471,f1474]) ).
fof(f3543,plain,
( ~ sQ97_spl
| ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3542,f218]) ).
fof(f3544,plain,
( ~ sQ97_spl
| ~ sQ96_spl ),
inference(contradiction_clause,[status(thm)],[f3543]) ).
fof(f3552,plain,
( sQ212_spl
| ~ sQ221_spl
| h4(op1(e13,e11)) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1945,f1916]) ).
fof(f3557,plain,
( sQ206_spl
| ~ sQ221_spl
| h4(op1(e11,e13)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f1898]) ).
fof(f3558,plain,
( ~ sQ126_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f291,f1568]) ).
fof(f3559,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3558,f219]) ).
fof(f3560,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f3559]) ).
fof(f3561,plain,
( ~ sQ127_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f291,f1571]) ).
fof(f3562,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3561,f220]) ).
fof(f3563,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f3562]) ).
fof(f3574,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1448,f1451]) ).
fof(f3575,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3574,f221]) ).
fof(f3576,plain,
( ~ sQ90_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3575]) ).
fof(f3590,plain,
( ~ sQ82_spl
| ~ sQ80_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1419,f1425]) ).
fof(f3591,plain,
( ~ sQ82_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3590,f219]) ).
fof(f3592,plain,
( ~ sQ82_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3591]) ).
fof(f3622,plain,
( sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| h4(e13) != op2(h4(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f1227,f3557]) ).
fof(f3623,plain,
( sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| e23 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f3622]) ).
fof(f3632,plain,
( ~ sQ47_spl
| e11 = e13 ),
inference(backward_demodulation,[status(thm)],[f2912,f1279]) ).
fof(f3633,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3632,f216]) ).
fof(f3634,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f3633]) ).
fof(f3637,plain,
( sQ207_spl
| h4(op1(e12,e10)) != op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3017,f1901]) ).
fof(f3638,plain,
( sQ207_spl
| h4(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3010,f3637]) ).
fof(f3639,plain,
( ~ sQ10_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1159,f2914]) ).
fof(f3640,plain,
( ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3639]) ).
fof(f3641,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f3640]) ).
fof(f3645,plain,
( sQ274_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3017,f2183]) ).
fof(f3646,plain,
( sQ274_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3645]) ).
fof(f3647,plain,
sQ274_spl,
inference(contradiction_clause,[status(thm)],[f3646]) ).
fof(f3649,plain,
( sQ201_spl
| ~ sQ274_spl
| h4(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3010,f2932]) ).
fof(f3654,plain,
( sQ213_spl
| ~ sQ274_spl
| ~ sQ221_spl
| h4(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1945,f2970]) ).
fof(f3671,plain,
( ~ sQ111_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f2945,f1519]) ).
fof(f3672,plain,
( ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3671,f222]) ).
fof(f3673,plain,
~ sQ111_spl,
inference(contradiction_clause,[status(thm)],[f3672]) ).
fof(f3676,plain,
( sQ210_spl
| ~ sQ221_spl
| h4(e11) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2912,f3449]) ).
fof(f3677,plain,
( sQ210_spl
| ~ sQ221_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f2945,f3676]) ).
fof(f3679,plain,
( ~ sQ74_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1399,f2946]) ).
fof(f3680,plain,
( ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3679]) ).
fof(f3681,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f3680]) ).
fof(f3692,plain,
( ~ sQ236_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2021,f2955]) ).
fof(f3697,plain,
( sQ187_spl
| h3(e11) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f2912,f2931]) ).
fof(f3701,plain,
( ~ sQ80_spl
| e20 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f1419,f2980]) ).
fof(f3702,plain,
( ~ sQ69_spl
| e21 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f1383,f2983]) ).
fof(f3712,plain,
( ~ sQ252_spl
| op2(e22,e20) != e20 ),
inference(forward_demodulation,[status(thm)],[f2089,f2989]) ).
fof(f3713,plain,
( ~ sQ252_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2089,f2990]) ).
fof(f3717,plain,
( ~ sQ244_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2055,f3702]) ).
fof(f3718,plain,
( ~ sQ244_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f3717]) ).
fof(f3719,plain,
( ~ sQ252_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f2089,f2992]) ).
fof(f3724,plain,
( ~ sQ240_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2038,f3701]) ).
fof(f3725,plain,
( ~ sQ240_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3724]) ).
fof(f3731,plain,
( ~ sQ54_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3294,f1197,f1301]) ).
fof(f3747,plain,
( sQ263_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f302,f2136]) ).
fof(f3748,plain,
( sQ263_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3747]) ).
fof(f3749,plain,
sQ263_spl,
inference(contradiction_clause,[status(thm)],[f3748]) ).
fof(f3750,plain,
( sQ183_spl
| ~ sQ31_spl
| h3(e13) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f1227,f3031]) ).
fof(f3751,plain,
( sQ183_spl
| ~ sQ31_spl
| e22 != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f302,f3750]) ).
fof(f3757,plain,
( ~ sQ246_spl
| ~ sQ242_spl
| e20 = e21 ),
inference(backward_demodulation,[status(thm)],[f2046,f2063]) ).
fof(f3758,plain,
( ~ sQ246_spl
| ~ sQ242_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3757,f218]) ).
fof(f3759,plain,
( ~ sQ246_spl
| ~ sQ242_spl ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3764,plain,
( sQ164_spl
| h2(e11) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f2912,f3088]) ).
fof(f3769,plain,
( ~ sQ79_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f2951,f1415]) ).
fof(f3770,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3769,f223]) ).
fof(f3771,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f3770]) ).
fof(f3773,plain,
( sQ202_spl
| ~ sQ221_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2951,f3414]) ).
fof(f3774,plain,
( sQ202_spl
| ~ sQ221_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3773]) ).
fof(f3775,plain,
( sQ202_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f3774]) ).
fof(f3777,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| h4(e13) = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1175,f1885]) ).
fof(f3778,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| ~ sQ221_spl
| e23 = op2(h4(e10),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1945,f3777]) ).
fof(f3779,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| ~ sQ221_spl
| e23 = op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3010,f3778]) ).
fof(f3780,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| ~ sQ221_spl
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f3779]) ).
fof(f3781,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| ~ sQ221_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2951,f3780]) ).
fof(f3782,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| ~ sQ221_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3781,f223]) ).
fof(f3783,plain,
( ~ sQ202_spl
| ~ sQ15_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f3782]) ).
fof(f3793,plain,
( ~ sQ98_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1477,f3692]) ).
fof(f3794,plain,
( ~ sQ98_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3793]) ).
fof(f3804,plain,
( ~ sQ104_spl
| h3(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f1497,f303]) ).
fof(f3805,plain,
( ~ sQ104_spl
| sQ252_spl ),
inference(split_clause,[status(thm)],[f3804,f2088,f1496]) ).
fof(f3810,plain,
( ~ sQ115_spl
| ~ sQ113_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1526,f1532]) ).
fof(f3811,plain,
( ~ sQ115_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3810,f222]) ).
fof(f3812,plain,
( ~ sQ115_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f3811]) ).
fof(f3813,plain,
( ~ sQ123_spl
| op2(e23,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1558,f207]) ).
fof(f3831,plain,
( ~ sQ69_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1383,f172]) ).
fof(f3833,plain,
( ~ sQ95_spl
| ~ sQ94_spl
| e22 = e23 ),
inference(backward_demodulation,[status(thm)],[f1464,f1467]) ).
fof(f3834,plain,
( ~ sQ95_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3833,f223]) ).
fof(f3835,plain,
( ~ sQ95_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3834]) ).
fof(f3843,plain,
( sQ137_spl
| ~ sQ31_spl
| h1(e13) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1227,f3141]) ).
fof(f3844,plain,
( sQ137_spl
| ~ sQ31_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f294,f3843]) ).
fof(f3850,plain,
( ~ sQ252_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3719,f1392,f2088]) ).
fof(f3879,plain,
( ~ sQ252_spl
| h3(e12) = op2(e20,e22) ),
inference(backward_demodulation,[status(thm)],[f2089,f3009]) ).
fof(f3885,plain,
( sQ207_spl
| ~ sQ34_spl
| h4(e12) != op2(e22,e20) ),
inference(backward_demodulation,[status(thm)],[f1237,f3638]) ).
fof(f3886,plain,
( sQ207_spl
| ~ sQ34_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3017,f3885]) ).
fof(f3887,plain,
( ~ sQ40_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1257,f133]) ).
fof(f3891,plain,
( sQ186_spl
| ~ sQ40_spl
| h3(e10) != op2(h3(e12),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f1257,f1834]) ).
fof(f3892,plain,
( ~ sQ40_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3887,f1308,f1256]) ).
fof(f3905,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1296,f2905]) ).
fof(f3906,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f3905]) ).
fof(f3912,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1286,f1292]) ).
fof(f3913,plain,
( ~ sQ51_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3912,f216]) ).
fof(f3914,plain,
( ~ sQ51_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3913]) ).
fof(f3917,plain,
( sQ211_spl
| ~ sQ221_spl
| h4(op1(e13,e10)) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1945,f1913]) ).
fof(f3918,plain,
( sQ211_spl
| ~ sQ221_spl
| h4(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f3010,f3917]) ).
fof(f3924,plain,
( ~ sQ5_spl
| e11 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1143,f124]) ).
fof(f3926,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| e12 = e13 ),
inference(backward_demodulation,[status(thm)],[f1224,f1227]) ).
fof(f3927,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3926,f217]) ).
fof(f3928,plain,
( ~ sQ31_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f3927]) ).
fof(f3931,plain,
( ~ sQ37_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1247,f3303]) ).
fof(f3932,plain,
( ~ sQ37_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f3931]) ).
fof(f3937,plain,
( sQ45_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f2912,f1274]) ).
fof(f3938,plain,
( sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3937]) ).
fof(f3939,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3942,plain,
( ~ sQ39_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f3383,f1148,f1252]) ).
fof(f3950,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1127,f1130]) ).
fof(f3951,plain,
( ~ sQ1_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3950,f212]) ).
fof(f3952,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f3951]) ).
fof(f3958,plain,
( sQ203_spl
| h4(op1(e11,e10)) != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f3010,f1889]) ).
fof(f3969,plain,
( ~ sQ46_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f2912,f1276]) ).
fof(f3970,plain,
( ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3969,f215]) ).
fof(f3971,plain,
~ sQ46_spl,
inference(contradiction_clause,[status(thm)],[f3970]) ).
fof(f3979,plain,
( ~ sQ5_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f3924,f1298,f1142]) ).
fof(f3983,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f2945,f3015]) ).
fof(f3984,plain,
( sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3983,f2162]) ).
fof(f3985,plain,
sQ269_spl,
inference(contradiction_clause,[status(thm)],[f3984]) ).
fof(f3986,plain,
( sQ210_spl
| ~ sQ221_spl
| ~ sQ269_spl ),
inference(split_clause,[status(thm)],[f3677,f2160,f1944,f1908]) ).
fof(f4011,plain,
( sQ212_spl
| ~ sQ221_spl
| h4(op1(e13,e11)) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f3983,f3552]) ).
fof(f4015,plain,
( ~ sQ53_spl
| op1(e11,e11) != e11 ),
inference(backward_demodulation,[status(thm)],[f1299,f126]) ).
fof(f4021,plain,
( ~ sQ53_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f4015,f1194,f1298]) ).
fof(f4024,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1182,f1185]) ).
fof(f4025,plain,
( ~ sQ18_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4024,f215]) ).
fof(f4026,plain,
( ~ sQ18_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f4025]) ).
fof(f4033,plain,
( ~ sQ11_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1162,f3376]) ).
fof(f4034,plain,
( ~ sQ11_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4033]) ).
fof(f4038,plain,
( ~ sQ42_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1263,f131]) ).
fof(f4040,plain,
( ~ sQ12_spl
| e12 = e10 ),
inference(backward_demodulation,[status(thm)],[f1166,f2919]) ).
fof(f4041,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4040,f213]) ).
fof(f4042,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f4041]) ).
fof(f4051,plain,
( ~ sQ58_spl
| ~ sQ42_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1263,f3028]) ).
fof(f4052,plain,
( ~ sQ58_spl
| ~ sQ42_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4051]) ).
fof(f4053,plain,
( ~ sQ58_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4052]) ).
fof(f4058,plain,
( ~ sQ110_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f2945,f1516]) ).
fof(f4059,plain,
( ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4058,f221]) ).
fof(f4060,plain,
~ sQ110_spl,
inference(contradiction_clause,[status(thm)],[f4059]) ).
fof(f4066,plain,
( ~ sQ69_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f3831,f1538,f1382]) ).
fof(f4070,plain,
( sQ109_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2945,f1514]) ).
fof(f4071,plain,
( sQ109_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4070]) ).
fof(f4072,plain,
sQ109_spl,
inference(contradiction_clause,[status(thm)],[f4071]) ).
fof(f4078,plain,
( sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3983,f3623]) ).
fof(f4082,plain,
( ~ sQ118_spl
| h2(e10) != e22 ),
inference(backward_demodulation,[status(thm)],[f1542,f2981]) ).
fof(f4088,plain,
( ~ sQ118_spl
| ~ sQ117_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1539,f1542]) ).
fof(f4089,plain,
( ~ sQ118_spl
| ~ sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4088,f221]) ).
fof(f4090,plain,
( ~ sQ118_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f4089]) ).
fof(f4091,plain,
( ~ sQ118_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f3179,f1489,f1541]) ).
fof(f4099,plain,
( sQ208_spl
| ~ sQ274_spl
| h4(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3983,f2935]) ).
fof(f4100,plain,
( ~ sQ86_spl
| h2(e10) = e22 ),
inference(backward_demodulation,[status(thm)],[f1438,f299]) ).
fof(f4101,plain,
( ~ sQ86_spl
| sQ248_spl ),
inference(split_clause,[status(thm)],[f4100,f2071,f1437]) ).
fof(f4102,plain,
( ~ sQ118_spl
| ~ sQ248_spl ),
inference(split_clause,[status(thm)],[f4082,f2071,f1541]) ).
fof(f4119,plain,
( ~ sQ116_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1536,f2921]) ).
fof(f4120,plain,
( ~ sQ116_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4119]) ).
fof(f4121,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f4120]) ).
fof(f4122,plain,
( sQ247_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f298,f2068]) ).
fof(f4123,plain,
( sQ247_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4122]) ).
fof(f4124,plain,
sQ247_spl,
inference(contradiction_clause,[status(thm)],[f4123]) ).
fof(f4127,plain,
( ~ sQ65_spl
| ~ sQ64_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1367,f1370]) ).
fof(f4128,plain,
( ~ sQ65_spl
| ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4127,f218]) ).
fof(f4129,plain,
( ~ sQ65_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4128]) ).
fof(f4131,plain,
( sQ207_spl
| ~ sQ34_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f3886,f1476,f1236,f1899]) ).
fof(f4134,plain,
( ~ sQ252_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f3713,f1548,f2088]) ).
fof(f4140,plain,
( ~ sQ203_spl
| ~ sQ17_spl
| h4(e11) = op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1182,f1888]) ).
fof(f4141,plain,
( ~ sQ203_spl
| ~ sQ17_spl
| e21 = op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3983,f4140]) ).
fof(f4142,plain,
( ~ sQ203_spl
| ~ sQ17_spl
| e21 = op2(e21,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3983,f4141]) ).
fof(f4143,plain,
( ~ sQ203_spl
| ~ sQ17_spl
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3010,f4142]) ).
fof(f4162,plain,
( sQ187_spl
| h3(e11) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f3008,f3697]) ).
fof(f4163,plain,
( sQ187_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4162]) ).
fof(f4164,plain,
sQ187_spl,
inference(contradiction_clause,[status(thm)],[f4163]) ).
fof(f4190,plain,
( ~ sQ95_spl
| sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1467,f4078]) ).
fof(f4191,plain,
( ~ sQ95_spl
| sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4190]) ).
fof(f4192,plain,
( ~ sQ206_spl
| h4(op1(e11,e13)) = op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f3983,f1897]) ).
fof(f4193,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| h4(op1(e11,e13)) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f4192]) ).
fof(f4195,plain,
( ~ sQ106_spl
| ~ sQ252_spl
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f4196,f1503]) ).
fof(f4196,plain,
( ~ sQ252_spl
| e20 = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2089,f303]) ).
fof(f4197,plain,
( ~ sQ106_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4195,f219]) ).
fof(f4198,plain,
( ~ sQ106_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4197]) ).
fof(f4199,plain,
( ~ sQ115_spl
| op2(e22,e20) != e23 ),
inference(forward_demodulation,[status(thm)],[f1532,f169]) ).
fof(f4200,plain,
( sQ203_spl
| ~ sQ17_spl
| h4(e11) != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1182,f3958]) ).
fof(f4201,plain,
( sQ203_spl
| ~ sQ17_spl
| e21 != op2(h4(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f3983,f4200]) ).
fof(f4202,plain,
( sQ203_spl
| ~ sQ17_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f3983,f4201]) ).
fof(f4207,plain,
( sQ208_spl
| ~ sQ274_spl
| ~ sQ103_spl
| h4(op1(e12,e11)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1493,f4099]) ).
fof(f4214,plain,
( ~ sQ103_spl
| ~ sQ71_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1389,f3252]) ).
fof(f4215,plain,
( ~ sQ103_spl
| ~ sQ71_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4214]) ).
fof(f4216,plain,
( ~ sQ103_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4215]) ).
fof(f4217,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| e10 = e13 ),
inference(forward_demodulation,[status(thm)],[f1153,f1162]) ).
fof(f4218,plain,
( ~ sQ11_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4217,f214]) ).
fof(f4219,plain,
( ~ sQ11_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f4218]) ).
fof(f4221,plain,
( ~ sQ89_spl
| op2(e21,e20) != e21 ),
inference(forward_demodulation,[status(thm)],[f1448,f195]) ).
fof(f4227,plain,
( ~ sQ123_spl
| ~ sQ115_spl ),
inference(split_clause,[status(thm)],[f3813,f1531,f1557]) ).
fof(f4229,plain,
( ~ sQ213_spl
| ~ sQ221_spl
| h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1945,f1918]) ).
fof(f4230,plain,
( ~ sQ213_spl
| ~ sQ221_spl
| h4(op1(e13,e12)) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3017,f4229]) ).
fof(f4255,plain,
( sQ211_spl
| ~ sQ221_spl
| ~ sQ115_spl
| h4(op1(e13,e10)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1532,f3918]) ).
fof(f4256,plain,
( sQ211_spl
| ~ sQ221_spl
| ~ sQ115_spl
| ~ sQ51_spl
| h4(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f1292,f4255]) ).
fof(f4257,plain,
( ~ sQ51_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1292,f159]) ).
fof(f4258,plain,
( sQ211_spl
| ~ sQ115_spl
| ~ sQ51_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f4256,f1944,f1291,f1531,f1911]) ).
fof(f4259,plain,
( ~ sQ51_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f4257,f1317,f1291]) ).
fof(f4270,plain,
( sQ165_spl
| ~ sQ51_spl
| h2(e13) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1292,f3087]) ).
fof(f4271,plain,
( sQ165_spl
| ~ sQ51_spl
| e21 != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f298,f4270]) ).
fof(f4292,plain,
( ~ sQ51_spl
| op1(e12,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f1292,f121]) ).
fof(f4295,plain,
( sQ142_spl
| ~ sQ51_spl
| h1(e13) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f1292,f3117]) ).
fof(f4296,plain,
( sQ142_spl
| ~ sQ51_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f294,f4295]) ).
fof(f4322,plain,
( ~ sQ51_spl
| e13 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1292,f158]) ).
fof(f4323,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1305,f4322]) ).
fof(f4324,plain,
( ~ sQ51_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4323]) ).
fof(f4325,plain,
( ~ sQ51_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f4324]) ).
fof(f4333,plain,
( ~ sQ57_spl
| op1(e11,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f1312,f132]) ).
fof(f4337,plain,
( sQ190_spl
| ~ sQ57_spl
| h3(e11) != op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f1312,f2898]) ).
fof(f4338,plain,
( sQ144_spl
| ~ sQ57_spl
| h1(e11) != op2(e20,h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f1312,f3322]) ).
fof(f4341,plain,
( ~ sQ26_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1211,f4038]) ).
fof(f4342,plain,
( ~ sQ26_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4341]) ).
fof(f4343,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f4333,f1207,f1311]) ).
fof(f4353,plain,
( sQ164_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f2985,f3764]) ).
fof(f4354,plain,
( sQ164_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4353]) ).
fof(f4355,plain,
sQ164_spl,
inference(contradiction_clause,[status(thm)],[f4354]) ).
fof(f4360,plain,
( ~ sQ122_spl
| h3(e10) != e22 ),
inference(backward_demodulation,[status(thm)],[f1555,f2990]) ).
fof(f4382,plain,
( ~ sQ117_spl
| h2(e10) != e21 ),
inference(forward_demodulation,[status(thm)],[f1539,f2981]) ).
fof(f4383,plain,
( ~ sQ115_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1532,f206]) ).
fof(f4388,plain,
( ~ sQ85_spl
| h2(e10) = e21 ),
inference(backward_demodulation,[status(thm)],[f1435,f299]) ).
fof(f4389,plain,
( ~ sQ85_spl
| sQ244_spl ),
inference(split_clause,[status(thm)],[f4388,f2054,f1434]) ).
fof(f4390,plain,
( sQ213_spl
| ~ sQ274_spl
| ~ sQ221_spl
| ~ sQ57_spl
| h4(e11) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1312,f3654]) ).
fof(f4391,plain,
( sQ213_spl
| ~ sQ274_spl
| ~ sQ221_spl
| ~ sQ57_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3983,f4390]) ).
fof(f4394,plain,
( ~ sQ115_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4383,f1544,f1531]) ).
fof(f4395,plain,
( ~ sQ118_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f3180,f1385,f1541]) ).
fof(f4396,plain,
( ~ sQ91_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f3249,f1401,f1453]) ).
fof(f4402,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1133,f2916]) ).
fof(f4403,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f4402]) ).
fof(f4406,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f2915]) ).
fof(f4407,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f4406]) ).
fof(f4412,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| h4(e13) = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1227,f4193]) ).
fof(f4415,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| e23 = op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1945,f4412]) ).
fof(f4417,plain,
( ~ sQ106_spl
| h3(e10) = e22 ),
inference(forward_demodulation,[status(thm)],[f1503,f303]) ).
fof(f4421,plain,
( ~ sQ106_spl
| sQ260_spl ),
inference(split_clause,[status(thm)],[f4417,f2122,f1502]) ).
fof(f4428,plain,
( sQ203_spl
| ~ sQ17_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4202,f1421,f1181,f1887]) ).
fof(f4445,plain,
( sQ188_spl
| ~ sQ252_spl
| ~ sQ51_spl
| h3(e13) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f1292,f3275]) ).
fof(f4446,plain,
( sQ188_spl
| ~ sQ252_spl
| ~ sQ51_spl
| e22 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f302,f4445]) ).
fof(f4449,plain,
( ~ sQ252_spl
| ~ sQ96_spl ),
inference(split_clause,[status(thm)],[f3712,f1470,f2088]) ).
fof(f4454,plain,
( sQ191_spl
| ~ sQ252_spl
| ~ sQ104_spl ),
inference(split_clause,[status(thm)],[f3344,f1496,f2088,f1847]) ).
fof(f4455,plain,
( sQ189_spl
| ~ sQ54_spl
| h3(e12) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1302,f2897]) ).
fof(f4468,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1422,f1425]) ).
fof(f4469,plain,
( ~ sQ82_spl
| ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4468,f221]) ).
fof(f4470,plain,
( ~ sQ82_spl
| ~ sQ81_spl ),
inference(contradiction_clause,[status(thm)],[f4469]) ).
fof(f4474,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| ~ sQ92_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f1458,f4415]) ).
fof(f4475,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4474,f220]) ).
fof(f4476,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| ~ sQ92_spl ),
inference(contradiction_clause,[status(thm)],[f4475]) ).
fof(f4484,plain,
( sQ188_spl
| ~ sQ252_spl
| ~ sQ51_spl
| ~ sQ98_spl ),
inference(split_clause,[status(thm)],[f4446,f1476,f1291,f2088,f1838]) ).
fof(f4486,plain,
( ~ sQ122_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f3020,f1450,f1554]) ).
fof(f4489,plain,
( ~ sQ115_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f4199,f1479,f1531]) ).
fof(f4490,plain,
( ~ sQ117_spl
| ~ sQ244_spl ),
inference(split_clause,[status(thm)],[f4382,f2054,f1538]) ).
fof(f4498,plain,
( ~ sQ121_spl
| sQ213_spl
| ~ sQ274_spl
| ~ sQ221_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1552,f4391]) ).
fof(f4499,plain,
( ~ sQ121_spl
| sQ213_spl
| ~ sQ274_spl
| ~ sQ221_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4498]) ).
fof(f4500,plain,
( ~ sQ35_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f4292]) ).
fof(f4501,plain,
( ~ sQ35_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f4500]) ).
fof(f4502,plain,
( ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| h4(e11) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1312,f4230]) ).
fof(f4503,plain,
( ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3983,f4502]) ).
fof(f4506,plain,
( sQ184_spl
| ~ sQ252_spl
| h3(op1(e12,e10)) != op2(h3(e12),e20) ),
inference(backward_demodulation,[status(thm)],[f2089,f1828]) ).
fof(f4517,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f1218,f1227]) ).
fof(f4518,plain,
( ~ sQ31_spl
| ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4517,f214]) ).
fof(f4519,plain,
( ~ sQ31_spl
| ~ sQ28_spl ),
inference(contradiction_clause,[status(thm)],[f4518]) ).
fof(f4530,plain,
( sQ131_spl
| ~ sQ4_spl
| h1(e10) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1140,f1661]) ).
fof(f4533,plain,
( sQ212_spl
| ~ sQ221_spl
| ~ sQ54_spl
| h4(e12) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1302,f4011]) ).
fof(f4534,plain,
( sQ212_spl
| ~ sQ221_spl
| ~ sQ54_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3017,f4533]) ).
fof(f4537,plain,
( sQ143_spl
| ~ sQ54_spl
| h1(e12) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1302,f3116]) ).
fof(f4553,plain,
( sQ178_spl
| ~ sQ252_spl
| h3(op1(e10,e12)) != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2089,f1810]) ).
fof(f4557,plain,
( ~ sQ76_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1406,f2951]) ).
fof(f4558,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4557,f219]) ).
fof(f4559,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f4558]) ).
fof(f4562,plain,
( ~ sQ90_spl
| e22 != h3(e10) ),
inference(forward_demodulation,[status(thm)],[f1451,f2991]) ).
fof(f4571,plain,
( ~ sQ207_spl
| ~ sQ32_spl
| h4(e10) = op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f1231,f1900]) ).
fof(f4572,plain,
( ~ sQ207_spl
| ~ sQ32_spl
| e20 = op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3010,f4571]) ).
fof(f4573,plain,
( ~ sQ207_spl
| ~ sQ32_spl
| e20 = op2(e22,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3017,f4572]) ).
fof(f4574,plain,
( ~ sQ207_spl
| ~ sQ32_spl
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3010,f4573]) ).
fof(f4578,plain,
( ~ sQ260_spl
| ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2123,f4562]) ).
fof(f4579,plain,
( ~ sQ260_spl
| ~ sQ90_spl ),
inference(contradiction_clause,[status(thm)],[f4578]) ).
fof(f4613,plain,
( ~ sQ1_spl
| e11 != op1(e11,e10) ),
inference(backward_demodulation,[status(thm)],[f1130,f116]) ).
fof(f4618,plain,
( sQ130_spl
| ~ sQ1_spl
| h1(e11) != op2(h1(e10),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f1130,f1658]) ).
fof(f4629,plain,
( sQ135_spl
| ~ sQ21_spl
| h1(e11) != op2(h1(e11),h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f1195,f1673]) ).
fof(f4641,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| e10 = e13 ),
inference(backward_demodulation,[status(thm)],[f1283,f1292]) ).
fof(f4642,plain,
( ~ sQ51_spl
| ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4641,f214]) ).
fof(f4643,plain,
( ~ sQ51_spl
| ~ sQ48_spl ),
inference(contradiction_clause,[status(thm)],[f4642]) ).
fof(f4644,plain,
( sQ186_spl
| ~ sQ40_spl
| ~ sQ252_spl
| e20 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f2089,f3891]) ).
fof(f4645,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1140,f1143]) ).
fof(f4646,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4645,f212]) ).
fof(f4647,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f4646]) ).
fof(f4653,plain,
( sQ177_spl
| ~ sQ252_spl
| h3(op1(e10,e11)) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f2089,f1807]) ).
fof(f4657,plain,
( ~ sQ64_spl
| h1(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f1367,f295]) ).
fof(f4660,plain,
( sQ180_spl
| ~ sQ252_spl
| h3(op1(e11,e10)) != op2(h3(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f2089,f1816]) ).
fof(f4663,plain,
( sQ132_spl
| ~ sQ64_spl
| h1(op1(e10,e12)) != op2(e20,h1(e12)) ),
inference(backward_demodulation,[status(thm)],[f4657,f1664]) ).
fof(f4664,plain,
( ~ sQ64_spl
| e20 != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f4657,f2953]) ).
fof(f4665,plain,
( sQ142_spl
| ~ sQ51_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4657,f4296]) ).
fof(f4666,plain,
( ~ sQ64_spl
| h1(e12) = op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4657,f2959]) ).
fof(f4670,plain,
( ~ sQ64_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f4664,f1379,f1366]) ).
fof(f4671,plain,
( sQ142_spl
| ~ sQ51_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f4665,f1366,f1291,f1692]) ).
fof(f4672,plain,
( ~ sQ64_spl
| h1(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4666]) ).
fof(f4676,plain,
( sQ144_spl
| ~ sQ57_spl
| ~ sQ64_spl
| h1(e11) != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4672,f4338]) ).
fof(f4677,plain,
( sQ143_spl
| ~ sQ54_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f4672,f4537]) ).
fof(f4679,plain,
( sQ139_spl
| ~ sQ64_spl
| h1(op1(e12,e11)) != op2(e20,h1(e11)) ),
inference(backward_demodulation,[status(thm)],[f4672,f1685]) ).
fof(f4684,plain,
( sQ144_spl
| ~ sQ57_spl
| ~ sQ64_spl
| h1(e11) != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4676]) ).
fof(f4691,plain,
( ~ sQ64_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4672,f2958]) ).
fof(f4692,plain,
( ~ sQ64_spl
| h1(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4691]) ).
fof(f4693,plain,
( ~ sQ64_spl
| sQ144_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4692,f4684]) ).
fof(f4694,plain,
( ~ sQ64_spl
| sQ144_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4693]) ).
fof(f4701,plain,
( sQ181_spl
| ~ sQ257_spl
| h3(op1(e11,e11)) != op2(h3(e11),e21) ),
inference(backward_demodulation,[status(thm)],[f2110,f1819]) ).
fof(f4703,plain,
( sQ182_spl
| ~ sQ257_spl
| h3(op1(e11,e12)) != op2(e21,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f2110,f1822]) ).
fof(f4704,plain,
( sQ185_spl
| ~ sQ257_spl
| h3(op1(e12,e11)) != op2(h3(e12),e21) ),
inference(backward_demodulation,[status(thm)],[f2110,f1831]) ).
fof(f4705,plain,
( sQ183_spl
| ~ sQ31_spl
| ~ sQ257_spl
| e22 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f2110,f3751]) ).
fof(f4708,plain,
( sQ189_spl
| ~ sQ54_spl
| ~ sQ257_spl
| h3(e12) != op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f2110,f4455]) ).
fof(f4710,plain,
( sQ190_spl
| ~ sQ57_spl
| ~ sQ257_spl
| e21 != op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f2110,f4337]) ).
fof(f4712,plain,
( sQ181_spl
| ~ sQ257_spl
| h3(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f2110,f4701]) ).
fof(f4713,plain,
( sQ181_spl
| ~ sQ257_spl
| h3(op1(e11,e11)) != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f299,f4712]) ).
fof(f4714,plain,
( sQ183_spl
| ~ sQ31_spl
| ~ sQ257_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4705,f1450,f2109,f1226,f1823]) ).
fof(f4716,plain,
( sQ137_spl
| ~ sQ31_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(backward_demodulation,[status(thm)],[f4692,f3844]) ).
fof(f4720,plain,
( sQ137_spl
| ~ sQ31_spl
| ~ sQ64_spl ),
inference(split_clause,[status(thm)],[f4716,f1366,f1226,f1677]) ).
fof(f4729,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| ~ sQ93_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f1461,f4415]) ).
fof(f4730,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4729,f222]) ).
fof(f4731,plain,
( ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f4730]) ).
fof(f4733,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4657,f4530]) ).
fof(f4734,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4657,f4733]) ).
fof(f4735,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4692,f4734]) ).
fof(f4736,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4735]) ).
fof(f4737,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4736]) ).
fof(f4738,plain,
( sQ131_spl
| ~ sQ4_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4737]) ).
fof(f4742,plain,
( ~ sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f4613,f1181,f1129]) ).
fof(f4743,plain,
( sQ130_spl
| ~ sQ1_spl
| ~ sQ64_spl
| e20 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4692,f4618]) ).
fof(f4744,plain,
( sQ130_spl
| ~ sQ1_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f4657,f4743]) ).
fof(f4745,plain,
( sQ130_spl
| ~ sQ1_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4657,f4744]) ).
fof(f4746,plain,
( sQ130_spl
| ~ sQ1_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4745]) ).
fof(f4747,plain,
( sQ130_spl
| ~ sQ1_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4746]) ).
fof(f4748,plain,
( sQ130_spl
| ~ sQ1_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4747]) ).
fof(f4760,plain,
( ~ sQ207_spl
| ~ sQ32_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f4574,f1470,f1230,f1899]) ).
fof(f4761,plain,
( sQ135_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4692,f4629]) ).
fof(f4762,plain,
( sQ135_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f4692,f4761]) ).
fof(f4763,plain,
( sQ135_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4692,f4762]) ).
fof(f4764,plain,
( sQ135_spl
| ~ sQ21_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4763]) ).
fof(f4765,plain,
( sQ135_spl
| ~ sQ21_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4764]) ).
fof(f4766,plain,
( sQ135_spl
| ~ sQ21_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f4765]) ).
fof(f4794,plain,
( ~ sQ118_spl
| sQ212_spl
| ~ sQ221_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1542,f4534]) ).
fof(f4795,plain,
( ~ sQ118_spl
| sQ212_spl
| ~ sQ221_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4794]) ).
fof(f4796,plain,
( ~ sQ212_spl
| ~ sQ54_spl
| h4(e12) = op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1302,f1915]) ).
fof(f4797,plain,
( ~ sQ212_spl
| ~ sQ54_spl
| e22 = op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3017,f4796]) ).
fof(f4798,plain,
( ~ sQ212_spl
| ~ sQ54_spl
| ~ sQ221_spl
| e22 = op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1945,f4797]) ).
fof(f4799,plain,
( ~ sQ212_spl
| ~ sQ54_spl
| ~ sQ221_spl
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3983,f4798]) ).
fof(f4800,plain,
( ~ sQ90_spl
| ~ sQ88_spl
| e20 = e22 ),
inference(backward_demodulation,[status(thm)],[f1445,f1451]) ).
fof(f4801,plain,
( ~ sQ90_spl
| ~ sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4800,f219]) ).
fof(f4802,plain,
( ~ sQ90_spl
| ~ sQ88_spl ),
inference(contradiction_clause,[status(thm)],[f4801]) ).
fof(f4813,plain,
( sQ176_spl
| ~ sQ252_spl
| h3(op1(e10,e10)) != op2(e20,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f2089,f1804]) ).
fof(f4814,plain,
( sQ176_spl
| ~ sQ252_spl
| h3(op1(e10,e10)) != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2089,f4813]) ).
fof(f4815,plain,
( sQ176_spl
| ~ sQ252_spl
| ~ sQ64_spl
| h3(op1(e10,e10)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f4814]) ).
fof(f4820,plain,
( sQ201_spl
| ~ sQ274_spl
| ~ sQ75_spl
| h4(op1(e10,e12)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1402,f3649]) ).
fof(f4836,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| h3(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f1402,f3879]) ).
fof(f4837,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| sQ197_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4836,f1869]) ).
fof(f4838,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| sQ197_spl ),
inference(contradiction_clause,[status(thm)],[f4837]) ).
fof(f4843,plain,
( sQ208_spl
| ~ sQ274_spl
| ~ sQ103_spl
| ~ sQ39_spl
| h4(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f1253,f4207]) ).
fof(f4847,plain,
( sQ208_spl
| ~ sQ274_spl
| ~ sQ103_spl
| ~ sQ39_spl
| ~ sQ221_spl ),
inference(split_clause,[status(thm)],[f4843,f1944,f1252,f1492,f2181,f1902]) ).
fof(f4854,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1221,f1227]) ).
fof(f4855,plain,
( ~ sQ31_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4854,f216]) ).
fof(f4856,plain,
( ~ sQ31_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4871,plain,
( ~ sQ84_spl
| h2(e10) = e20 ),
inference(backward_demodulation,[status(thm)],[f1432,f299]) ).
fof(f4872,plain,
( ~ sQ84_spl
| sQ240_spl ),
inference(split_clause,[status(thm)],[f4871,f2037,f1431]) ).
fof(f4875,plain,
( ~ sQ240_spl
| h2(e12) = op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f2038,f2986]) ).
fof(f4876,plain,
( sQ165_spl
| ~ sQ51_spl
| ~ sQ240_spl
| e21 != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f2038,f4271]) ).
fof(f4879,plain,
( ~ sQ240_spl
| ~ sQ69_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1383,f4875]) ).
fof(f4880,plain,
( ~ sQ240_spl
| ~ sQ69_spl
| sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4879,f2064]) ).
fof(f4881,plain,
( ~ sQ240_spl
| ~ sQ69_spl
| sQ246_spl ),
inference(contradiction_clause,[status(thm)],[f4880]) ).
fof(f4882,plain,
( sQ165_spl
| ~ sQ51_spl
| ~ sQ240_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4876,f1421,f2037,f1291,f1765]) ).
fof(f4896,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| e20 = e23 ),
inference(backward_demodulation,[status(thm)],[f1523,f1532]) ).
fof(f4897,plain,
( ~ sQ115_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4896,f220]) ).
fof(f4898,plain,
( ~ sQ115_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f4897]) ).
fof(f4916,plain,
( sQ178_spl
| ~ sQ252_spl
| ~ sQ11_spl
| h3(e13) != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1162,f4553]) ).
fof(f4917,plain,
( sQ178_spl
| ~ sQ252_spl
| ~ sQ11_spl
| e22 != op2(e20,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f302,f4916]) ).
fof(f4918,plain,
( sQ178_spl
| ~ sQ252_spl
| ~ sQ11_spl
| ~ sQ75_spl
| e22 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4836,f4917]) ).
fof(f4919,plain,
( sQ178_spl
| ~ sQ252_spl
| ~ sQ11_spl
| ~ sQ75_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2951,f4918]) ).
fof(f4920,plain,
( sQ178_spl
| ~ sQ252_spl
| ~ sQ11_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4919]) ).
fof(f4921,plain,
( sQ178_spl
| ~ sQ252_spl
| ~ sQ11_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4920]) ).
fof(f4963,plain,
( sQ186_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e20 != op2(e23,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4836,f4644]) ).
fof(f4964,plain,
( sQ186_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e20 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4836,f4963]) ).
fof(f4965,plain,
( sQ186_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f291,f4964]) ).
fof(f4966,plain,
( sQ186_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4965]) ).
fof(f4967,plain,
( sQ186_spl
| ~ sQ40_spl
| ~ sQ252_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f4966]) ).
fof(f4989,plain,
( ~ sQ24_spl
| e10 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f1205,f131]) ).
fof(f4990,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1257,f4989]) ).
fof(f4991,plain,
( ~ sQ24_spl
| ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4990]) ).
fof(f4992,plain,
( ~ sQ24_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f4991]) ).
fof(f5012,plain,
( sQ184_spl
| ~ sQ252_spl
| ~ sQ34_spl
| h3(e12) != op2(h3(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f1237,f4506]) ).
fof(f5013,plain,
( sQ184_spl
| ~ sQ252_spl
| ~ sQ34_spl
| ~ sQ75_spl
| e23 != op2(h3(e12),e20) ),
inference(forward_demodulation,[status(thm)],[f4836,f5012]) ).
fof(f5014,plain,
( sQ184_spl
| ~ sQ252_spl
| ~ sQ34_spl
| ~ sQ75_spl
| e23 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f4836,f5013]) ).
fof(f5018,plain,
( sQ143_spl
| ~ sQ54_spl
| ~ sQ64_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4692,f4677]) ).
fof(f5019,plain,
( sQ143_spl
| ~ sQ54_spl
| ~ sQ64_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f5018]) ).
fof(f5020,plain,
( sQ143_spl
| ~ sQ54_spl
| ~ sQ64_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5019]) ).
fof(f5021,plain,
( sQ143_spl
| ~ sQ54_spl
| ~ sQ64_spl ),
inference(contradiction_clause,[status(thm)],[f5020]) ).
fof(f5053,plain,
( sQ177_spl
| ~ sQ252_spl
| ~ sQ5_spl
| h3(e11) != op2(e20,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1143,f4653]) ).
fof(f5059,plain,
( sQ176_spl
| ~ sQ252_spl
| ~ sQ64_spl
| ~ sQ0_spl
| h3(e10) != e20 ),
inference(backward_demodulation,[status(thm)],[f1127,f4815]) ).
fof(f5062,plain,
( sQ176_spl
| ~ sQ64_spl
| ~ sQ0_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f5059,f2088,f1126,f1366,f1802]) ).
fof(f5098,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ11_spl
| h1(e13) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f1162,f4663]) ).
fof(f5099,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ11_spl
| e20 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f294,f5098]) ).
fof(f5100,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ11_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4672,f5099]) ).
fof(f5101,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ11_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f5100]) ).
fof(f5102,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5101]) ).
fof(f5103,plain,
( sQ132_spl
| ~ sQ64_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f5102]) ).
fof(f5161,plain,
( sQ139_spl
| ~ sQ64_spl
| ~ sQ39_spl
| h1(e13) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1253,f4679]) ).
fof(f5162,plain,
( sQ139_spl
| ~ sQ64_spl
| ~ sQ39_spl
| e20 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f294,f5161]) ).
fof(f5163,plain,
( sQ139_spl
| ~ sQ64_spl
| ~ sQ39_spl
| e20 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f4692,f5162]) ).
fof(f5164,plain,
( sQ139_spl
| ~ sQ64_spl
| ~ sQ39_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1367,f5163]) ).
fof(f5165,plain,
( sQ139_spl
| ~ sQ64_spl
| ~ sQ39_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5164]) ).
fof(f5166,plain,
( sQ139_spl
| ~ sQ64_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f5165]) ).
fof(f5178,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| h3(e11) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4836,f3008]) ).
fof(f5179,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f4503,f5178]) ).
fof(f5180,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5179,f2111]) ).
fof(f5181,plain,
( ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f5180]) ).
fof(f5183,plain,
( sQ181_spl
| ~ sQ257_spl
| ~ sQ20_spl
| h3(e10) != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f1192,f4713]) ).
fof(f5184,plain,
( sQ181_spl
| ~ sQ257_spl
| ~ sQ20_spl
| ~ sQ252_spl
| e20 != h2(e10) ),
inference(forward_demodulation,[status(thm)],[f2089,f5183]) ).
fof(f5185,plain,
( sQ181_spl
| ~ sQ257_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ240_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2038,f5184]) ).
fof(f5186,plain,
( sQ181_spl
| ~ sQ257_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ240_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5185]) ).
fof(f5187,plain,
( sQ181_spl
| ~ sQ257_spl
| ~ sQ20_spl
| ~ sQ252_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f5186]) ).
fof(f5189,plain,
( sQ182_spl
| ~ sQ257_spl
| ~ sQ26_spl
| h3(e12) != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1211,f4703]) ).
fof(f5190,plain,
( sQ182_spl
| ~ sQ257_spl
| ~ sQ26_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e23 != op2(e21,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f4836,f5189]) ).
fof(f5191,plain,
( sQ182_spl
| ~ sQ257_spl
| ~ sQ26_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f4836,f5190]) ).
fof(f5192,plain,
( sQ182_spl
| ~ sQ257_spl
| ~ sQ26_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4415,f5191]) ).
fof(f5193,plain,
( sQ182_spl
| ~ sQ257_spl
| ~ sQ26_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5192]) ).
fof(f5194,plain,
( sQ182_spl
| ~ sQ257_spl
| ~ sQ26_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ206_spl
| ~ sQ221_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f5193]) ).
fof(f5195,plain,
( sQ185_spl
| ~ sQ257_spl
| ~ sQ39_spl
| h3(e13) != op2(h3(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1253,f4704]) ).
fof(f5196,plain,
( sQ185_spl
| ~ sQ257_spl
| ~ sQ39_spl
| e22 != op2(h3(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f302,f5195]) ).
fof(f5197,plain,
( sQ185_spl
| ~ sQ257_spl
| ~ sQ39_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e22 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4836,f5196]) ).
fof(f5198,plain,
( sQ185_spl
| ~ sQ257_spl
| ~ sQ39_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ212_spl
| ~ sQ54_spl
| ~ sQ221_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4799,f5197]) ).
fof(f5199,plain,
( sQ185_spl
| ~ sQ257_spl
| ~ sQ39_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ212_spl
| ~ sQ54_spl
| ~ sQ221_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5198]) ).
fof(f5200,plain,
( sQ185_spl
| ~ sQ257_spl
| ~ sQ39_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ212_spl
| ~ sQ54_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f5199]) ).
fof(f5201,plain,
( sQ189_spl
| ~ sQ54_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e23 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4836,f4708]) ).
fof(f5202,plain,
( sQ189_spl
| ~ sQ54_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ103_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1493,f5201]) ).
fof(f5203,plain,
( sQ189_spl
| ~ sQ54_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ103_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5202]) ).
fof(f5204,plain,
( sQ189_spl
| ~ sQ54_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| ~ sQ103_spl ),
inference(contradiction_clause,[status(thm)],[f5203]) ).
fof(f5205,plain,
( sQ190_spl
| ~ sQ57_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4836,f4710]) ).
fof(f5206,plain,
( sQ190_spl
| ~ sQ57_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2945,f5205]) ).
fof(f5207,plain,
( sQ190_spl
| ~ sQ57_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5206]) ).
fof(f5208,plain,
( sQ190_spl
| ~ sQ57_spl
| ~ sQ257_spl
| ~ sQ252_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f5207]) ).
fof(f5226,plain,
( sQ180_spl
| ~ sQ252_spl
| ~ sQ17_spl
| h3(e11) != op2(h3(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1182,f4660]) ).
fof(f5227,plain,
( sQ180_spl
| ~ sQ252_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| h3(e11) != op2(e21,e20) ),
inference(backward_demodulation,[status(thm)],[f5179,f5226]) ).
fof(f5228,plain,
( sQ177_spl
| ~ sQ252_spl
| ~ sQ5_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| h3(e11) != op2(e20,e21) ),
inference(backward_demodulation,[status(thm)],[f5179,f5053]) ).
fof(f5232,plain,
( sQ180_spl
| ~ sQ252_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| e21 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f5179,f5227]) ).
fof(f5233,plain,
( sQ180_spl
| ~ sQ252_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| ~ sQ203_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4143,f5232]) ).
fof(f5234,plain,
( sQ180_spl
| ~ sQ252_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| ~ sQ203_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5233]) ).
fof(f5235,plain,
( sQ180_spl
| ~ sQ252_spl
| ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f5234]) ).
fof(f5236,plain,
( sQ177_spl
| ~ sQ252_spl
| ~ sQ5_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f5179,f5228]) ).
fof(f5237,plain,
( sQ177_spl
| ~ sQ252_spl
| ~ sQ5_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1383,f5236]) ).
fof(f5238,plain,
( sQ177_spl
| ~ sQ252_spl
| ~ sQ5_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5237]) ).
fof(f5239,plain,
( sQ177_spl
| ~ sQ252_spl
| ~ sQ5_spl
| ~ sQ75_spl
| ~ sQ213_spl
| ~ sQ221_spl
| ~ sQ57_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f5238]) ).
fof(f5258,plain,
( ~ sQ115_spl
| sQ184_spl
| ~ sQ252_spl
| ~ sQ34_spl
| ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f5014]) ).
fof(f5259,plain,
( ~ sQ115_spl
| sQ184_spl
| ~ sQ252_spl
| ~ sQ34_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f5258]) ).
fof(f5314,plain,
( sQ201_spl
| ~ sQ274_spl
| ~ sQ75_spl
| ~ sQ11_spl
| h4(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1162,f4820]) ).
fof(f5315,plain,
( sQ201_spl
| ~ sQ274_spl
| ~ sQ75_spl
| ~ sQ11_spl
| ~ sQ221_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1945,f5314]) ).
fof(f5316,plain,
( sQ201_spl
| ~ sQ274_spl
| ~ sQ75_spl
| ~ sQ11_spl
| ~ sQ221_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5315]) ).
fof(f5317,plain,
( sQ201_spl
| ~ sQ274_spl
| ~ sQ75_spl
| ~ sQ11_spl
| ~ sQ221_spl ),
inference(contradiction_clause,[status(thm)],[f5316]) ).
fof(f5395,plain,
( ~ sQ103_spl
| ~ sQ101_spl
| e21 = e23 ),
inference(backward_demodulation,[status(thm)],[f1487,f1493]) ).
fof(f5396,plain,
( ~ sQ103_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5395,f222]) ).
fof(f5397,plain,
( ~ sQ103_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f5396]) ).
fof(f5456,plain,
( ~ sQ122_spl
| ~ sQ260_spl ),
inference(split_clause,[status(thm)],[f4360,f2122,f1554]) ).
fof(f5459,plain,
( ~ sQ89_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f4221,f1421,f1447]) ).
fof(f5460,plain,
$false,
inference(sat_refutation,[status(thm)],[f1138,f1177,f1203,f1216,f1268,f1307,f1320,f1336,f1339,f1340,f1343,f1344,f1350,f1353,f1356,f1360,f1362,f1365,f1417,f1443,f1508,f1547,f1575,f1576,f1577,f1580,f1583,f1586,f1590,f1596,f1600,f1602,f1605,f1609,f1614,f1618,f1619,f1622,f1623,f1624,f1626,f1627,f1634,f1639,f1641,f1642,f1643,f1644,f1646,f1647,f1648,f1649,f1651,f1652,f1870,f1951,f1970,f2040,f2069,f2078,f2087,f2091,f2112,f2137,f2142,f2163,f2184,f2193,f2210,f2213,f2218,f2232,f2235,f2238,f2243,f2260,f2263,f2268,f2285,f2288,f2293,f2310,f2313,f2318,f2335,f2338,f2343,f2352,f2361,f2363,f2368,f2377,f2385,f2388,f2393,f2411,f2413,f2418,f2435,f2438,f2443,f2452,f2461,f2463,f2468,f2477,f2485,f2488,f2497,f2511,f2513,f2522,f2526,f2535,f2538,f2547,f2559,f2562,f2568,f2576,f2579,f2580,f2584,f2585,f2587,f2588,f2597,f2609,f2612,f2618,f2626,f2629,f2635,f2637,f2638,f2647,f2659,f2662,f2668,f2672,f2676,f2685,f2687,f2688,f2693,f2709,f2712,f2718,f2734,f2735,f2737,f2738,f2743,f2760,f2764,f2768,f2784,f2787,f2803,f2810,f2814,f2828,f2834,f2837,f2850,f2856,f2860,f2871,f2876,f2879,f2883,f2887,f2888,f2891,f2903,f2973,f2996,f3024,f3036,f3063,f3078,f3091,f3102,f3110,f3120,f3149,f3159,f3164,f3172,f3175,f3185,f3200,f3203,f3207,f3212,f3220,f3238,f3261,f3265,f3274,f3307,f3320,f3328,f3332,f3338,f3352,f3358,f3361,f3372,f3392,f3399,f3408,f3417,f3445,f3452,f3455,f3463,f3520,f3526,f3531,f3544,f3560,f3563,f3576,f3592,f3634,f3641,f3647,f3673,f3681,f3718,f3725,f3731,f3749,f3759,f3771,f3775,f3783,f3794,f3805,f3812,f3835,f3850,f3892,f3906,f3914,f3928,f3932,f3939,f3942,f3952,f3971,f3979,f3985,f3986,f4021,f4026,f4034,f4042,f4053,f4060,f4066,f4072,f4090,f4091,f4101,f4102,f4121,f4124,f4129,f4131,f4134,f4164,f4191,f4198,f4216,f4219,f4227,f4258,f4259,f4325,f4342,f4343,f4355,f4389,f4394,f4395,f4396,f4403,f4407,f4421,f4428,f4449,f4454,f4470,f4476,f4484,f4486,f4489,f4490,f4499,f4501,f4519,f4559,f4579,f4643,f4647,f4670,f4671,f4694,f4714,f4720,f4731,f4738,f4742,f4748,f4760,f4766,f4795,f4802,f4838,f4847,f4856,f4872,f4881,f4882,f4898,f4921,f4967,f4992,f5021,f5062,f5103,f5166,f5181,f5187,f5194,f5200,f5204,f5208,f5235,f5239,f5259,f5317,f5397,f5456,f5459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG123+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:00:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.42 % Drodi V4.1.1
% 3.29/0.95 % Refutation found
% 3.29/0.95 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.29/0.95 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.29/1.01 % Elapsed time: 0.629580 seconds
% 3.29/1.01 % CPU time: 4.174364 seconds
% 3.29/1.01 % Total memory used: 173.967 MB
% 3.29/1.01 % Net memory used: 171.062 MB
%------------------------------------------------------------------------------