%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG103+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 : n012.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 11:48:11 AM UTC 2026
% Result : Theorem 13.47s 7.16s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 564
% Syntax : Number of formulae : 3465 ( 217 unt; 547 def)
% Number of atoms : 29328 (21667 equ)
% Maximal formula atoms : 292 ( 8 avg)
% Number of connectives : 40547 (14684 ~;10980 |;14202 &)
% ( 681 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 549 ( 547 usr; 548 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,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& 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,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,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,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,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& 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,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,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,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,
( e13 = op1(op1(e10,op1(e10,e10)),e10)
& e12 = op1(e10,op1(e10,e10))
& e11 = op1(e10,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(op2(e20,op2(e20,e20)),e20)
& e22 = op2(e20,op2(e20,e20))
& e21 = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e12) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e10) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e12) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e10) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e12) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e10) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e12) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e10) = 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(f22,plain,
( op1(e10,e12) = e13
| op1(e10,e12) = e12
| op1(e10,e12) = e11
| op1(e10,e12) = 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(f24,plain,
( op1(e11,e10) = e13
| op1(e11,e10) = e12
| op1(e11,e10) = e11
| op1(e11,e10) = 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(f27,plain,
( op1(e11,e13) = e13
| op1(e11,e13) = e12
| op1(e11,e13) = e11
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e13
| op1(e12,e10) = e12
| op1(e12,e10) = e11
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e13
| op1(e13,e10) = e12
| op1(e13,e10) = e11
| op1(e13,e10) = 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(f35,plain,
( op1(e13,e13) = e13
| op1(e13,e13) = e12
| op1(e13,e13) = e11
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
( op1(e13,e10) = e10
| op1(e12,e10) = e10
| op1(e11,e10) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f40,plain,
( op1(e10,e13) = e12
| op1(e10,e12) = e12
| op1(e10,e11) = e12
| op1(e10,e10) = e12 ),
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(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(f47,plain,
( op1(e13,e11) = e11
| op1(e12,e11) = e11
| op1(e11,e11) = e11
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
( op1(e11,e13) = e12
| op1(e11,e12) = e12
| op1(e11,e11) = e12
| op1(e11,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
( op1(e11,e13) = e13
| op1(e11,e12) = e13
| op1(e11,e11) = e13
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f51,plain,
( op1(e13,e11) = e13
| op1(e12,e11) = e13
| op1(e11,e11) = e13
| op1(e10,e11) = e13 ),
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(f53,plain,
( op1(e13,e12) = e10
| op1(e12,e12) = e10
| op1(e11,e12) = e10
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f54,plain,
( op1(e12,e13) = e11
| op1(e12,e12) = e11
| op1(e12,e11) = e11
| op1(e12,e10) = e11 ),
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(f56,plain,
( op1(e12,e13) = e12
| op1(e12,e12) = e12
| op1(e12,e11) = e12
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f57,plain,
( op1(e13,e12) = e12
| op1(e12,e12) = e12
| op1(e11,e12) = e12
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f59,plain,
( op1(e13,e12) = e13
| op1(e12,e12) = e13
| op1(e11,e12) = e13
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f61,plain,
( op1(e13,e13) = e10
| op1(e12,e13) = e10
| op1(e11,e13) = e10
| op1(e10,e13) = e10 ),
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(f63,plain,
( op1(e13,e13) = e11
| op1(e12,e13) = e11
| op1(e11,e13) = e11
| op1(e10,e13) = 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(f65,plain,
( op1(e13,e13) = e12
| op1(e12,e13) = e12
| op1(e11,e13) = e12
| op1(e10,e13) = 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(f70,plain,
( op2(e20,e22) = e23
| op2(e20,e22) = e22
| op2(e20,e22) = e21
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
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(f72,plain,
( op2(e21,e20) = e23
| op2(e21,e20) = e22
| op2(e21,e20) = e21
| op2(e21,e20) = 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(f76,plain,
( op2(e22,e20) = e23
| op2(e22,e20) = e22
| op2(e22,e20) = e21
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e23
| op2(e22,e21) = e22
| op2(e22,e21) = e21
| op2(e22,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e23
| op2(e23,e22) = e22
| op2(e23,e22) = e21
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e23
| op2(e23,e23) = e22
| op2(e23,e23) = e21
| op2(e23,e23) = 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(f88,plain,
( op2(e20,e23) = e22
| op2(e20,e22) = e22
| op2(e20,e21) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f89,plain,
( op2(e23,e20) = e22
| op2(e22,e20) = e22
| op2(e21,e20) = e22
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f92,plain,
( op2(e21,e23) = e20
| op2(e21,e22) = e20
| op2(e21,e21) = e20
| op2(e21,e20) = e20 ),
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(f94,plain,
( op2(e21,e23) = e21
| op2(e21,e22) = e21
| op2(e21,e21) = e21
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f95,plain,
( op2(e23,e21) = e21
| op2(e22,e21) = e21
| op2(e21,e21) = e21
| op2(e20,e21) = e21 ),
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(f98,plain,
( op2(e21,e23) = e23
| op2(e21,e22) = e23
| op2(e21,e21) = e23
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f99,plain,
( op2(e23,e21) = e23
| op2(e22,e21) = e23
| op2(e21,e21) = e23
| op2(e20,e21) = e23 ),
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(f101,plain,
( op2(e23,e22) = e20
| op2(e22,e22) = e20
| op2(e21,e22) = e20
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f102,plain,
( op2(e22,e23) = e21
| op2(e22,e22) = e21
| op2(e22,e21) = e21
| op2(e22,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f103,plain,
( op2(e23,e22) = e21
| op2(e22,e22) = e21
| op2(e21,e22) = e21
| op2(e20,e22) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
( op2(e22,e23) = e22
| op2(e22,e22) = e22
| op2(e22,e21) = e22
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f109,plain,
( op2(e23,e23) = e20
| op2(e22,e23) = e20
| op2(e21,e23) = e20
| op2(e20,e23) = e20 ),
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(f111,plain,
( op2(e23,e23) = e21
| op2(e22,e23) = e21
| op2(e21,e23) = e21
| op2(e20,e23) = 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(f113,plain,
( op2(e23,e23) = e22
| op2(e22,e23) = e22
| op2(e21,e23) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f114,plain,
( op2(e23,e23) = e23
| op2(e23,e22) = e23
| op2(e23,e21) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f126,plain,
op1(e11,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(f130,plain,
op1(e10,e12) != op1(e13,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(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
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(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
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(f160,plain,
op1(e13,e10) != op1(e13,e13),
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(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
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(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(f178,plain,
op2(e20,e22) != op2(e23,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(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f183,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
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(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
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(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != 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(f211,plain,
op2(e23,e22) != 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,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,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,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,definition,
( sP1_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f242,plain,
( ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP1_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,e13) = e13 )
| sP0_prd ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( op1(e13,e13) = e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f245,plain,
( op1(e11,e13) = e11
| op1(e11,e11) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f248,plain,
( op1(e13,e13) = e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f249,plain,
( op1(e13,e13) != e13
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f242]) ).
fof(f252,definition,
( sP2_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,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,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,[sP2_prd])],[]) ).
fof(f253,definition,
( sP3_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f254,plain,
( ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP3_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,e23) = e23 )
| sP2_prd ) ),
inference(formula_renaming,[status(thm)],[f11,f253,f252]) ).
fof(f255,plain,
( op2(e23,e23) = e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f257,plain,
( op2(e21,e23) = e21
| op2(e21,e21) != e23
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f260,plain,
( op2(e23,e23) = e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f261,plain,
( op2(e23,e23) != e23
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f264,plain,
e11 = op1(e10,e10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f265,plain,
e12 = op1(e10,op1(e10,e10)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f266,plain,
e13 = op1(op1(e10,op1(e10,e10)),e10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f267,plain,
e21 = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f268,plain,
e22 = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f269,plain,
e23 = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f270,plain,
h1(e10) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f271,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f272,plain,
h1(e12) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f273,plain,
h1(e13) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f274,plain,
h2(e10) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f275,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f276,plain,
h2(e12) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f277,plain,
h2(e13) = op2(op2(e21,op2(e21,e21)),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f278,plain,
h3(e10) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f279,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f280,plain,
h3(e12) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f281,plain,
h3(e13) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f282,plain,
h4(e10) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f283,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f284,plain,
h4(e12) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f285,plain,
h4(e13) = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f286,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(f287,definition,
( sP4_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f288,definition,
( sP5_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f289,definition,
( sP6_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f290,definition,
( sP7_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f291,definition,
( sP8_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f292,definition,
( sP9_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f293,definition,
( sP10_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f294,definition,
( sP11_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f295,definition,
( sP12_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f296,definition,
( sP13_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f297,definition,
( sP14_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f298,definition,
( sP15_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f299,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP15_prd
| sP14_prd
| sP13_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 )
| sP12_prd
| sP11_prd
| sP10_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 )
| sP9_prd
| sP8_prd
| sP7_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 )
| sP6_prd
| sP5_prd
| sP4_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)],[f286,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287]) ).
fof(f303,plain,
( h1(e13) != e23
| sP6_prd
| sP5_prd
| sP4_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(cnf_transformation,[status(thm)],[f299]) ).
fof(f305,plain,
( h2(e11) != e23
| sP9_prd
| sP8_prd
| sP7_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)) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f312,plain,
( h4(e10) != e23
| sP15_prd
| sP14_prd
| sP13_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)) ),
inference(cnf_transformation,[status(thm)],[f299]) ).
fof(f316,definition,
( sP16_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,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,[sP16_prd])],[]) ).
fof(f317,plain,
( sP0_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 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f316]) ).
fof(f318,definition,
( sP17_prd
<=> ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f319,definition,
( sP18_prd
<=> ( op1(e11,e12) = e11
| op1(e11,e11) != e12 ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f320,plain,
( sP0_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP18_prd
& sP17_prd
& op1(e12,e12) = e12 )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f317,f319,f318]) ).
fof(f321,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ~ sP18_prd
| ~ sP17_prd
| op1(e12,e12) != e12 )
& ~ sP16_prd )
| sP0_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& sP18_prd
& sP17_prd
& op1(e12,e12) = e12 )
| sP16_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f320]) ).
fof(f322,plain,
( op1(e12,e12) = e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f326,plain,
( op1(e13,e12) = e13
| op1(e13,e13) != e12
| sP16_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f321]) ).
fof(f332,definition,
( sP19_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f333,plain,
( sP1_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP19_prd ) ),
inference(formula_renaming,[status(thm)],[f241,f332]) ).
fof(f334,plain,
( ( ( ( op1(e12,e13) = e12
| op1(e12,e12) != e13
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ~ sP19_prd )
| sP1_prd )
& ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP19_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f335,plain,
( op1(e13,e13) = e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f336,plain,
( op1(e13,e13) != e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f337,plain,
( op1(e12,e12) = e13
| sP19_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f339,plain,
( ~ sP19_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f334]) ).
fof(f341,definition,
( sP20_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,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,[sP20_prd])],[]) ).
fof(f342,plain,
( sP2_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 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f252,f341]) ).
fof(f343,definition,
( sP21_prd
<=> ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f344,definition,
( sP22_prd
<=> ( op2(e21,e22) = e21
| op2(e21,e21) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f345,plain,
( sP2_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP22_prd
& sP21_prd
& op2(e22,e22) = e22 )
| sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f342,f344,f343]) ).
fof(f346,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP22_prd
| ~ sP21_prd
| op2(e22,e22) != e22 )
& ~ sP20_prd )
| sP2_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP22_prd
& sP21_prd
& op2(e22,e22) = e22 )
| sP20_prd
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
( op2(e22,e22) = e22
| sP20_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f349,plain,
( sP22_prd
| sP20_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f351,plain,
( op2(e23,e22) = e23
| op2(e23,e23) != e22
| sP20_prd
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f346]) ).
fof(f357,definition,
( sP23_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f358,plain,
( sP3_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f253,f357]) ).
fof(f359,plain,
( ( ( ( op2(e22,e23) = e22
| op2(e22,e22) != e23
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ~ sP23_prd )
| sP3_prd )
& ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP23_prd
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f358]) ).
fof(f360,plain,
( op2(e23,e23) = e23
| sP23_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f361,plain,
( op2(e23,e23) != e23
| sP23_prd
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f366,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP4_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f287]) ).
fof(f367,plain,
( h1(e10) != e20
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f366]) ).
fof(f372,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP5_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f288]) ).
fof(f374,plain,
( h1(e11) != e21
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f372]) ).
fof(f378,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP6_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f289]) ).
fof(f381,plain,
( h1(e12) != e22
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f378]) ).
fof(f384,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP7_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f290]) ).
fof(f388,plain,
( h2(e13) != e20
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f390,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP8_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f291]) ).
fof(f391,plain,
( h2(e10) != e21
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f396,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP9_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f292]) ).
fof(f399,plain,
( h2(e12) != e22
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f402,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP10_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f293]) ).
fof(f406,plain,
( h3(e13) != e20
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f402]) ).
fof(f407,plain,
( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP10_prd ),
inference(cnf_transformation,[status(thm)],[f402]) ).
fof(f408,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP11_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f294]) ).
fof(f413,plain,
( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f414,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP12_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f295]) ).
fof(f416,plain,
( h3(e11) != e22
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f414]) ).
fof(f420,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP13_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f296]) ).
fof(f422,plain,
( h4(e11) != e20
| ~ sP13_prd ),
inference(cnf_transformation,[status(thm)],[f420]) ).
fof(f426,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP14_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f297]) ).
fof(f428,plain,
( h4(e11) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f430,plain,
( h4(e13) != e21
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f431,plain,
( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP14_prd ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f432,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP15_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f298]) ).
fof(f435,plain,
( h4(e12) != e22
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f438,definition,
( sP24_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,[sP24_prd])],[]) ).
fof(f439,plain,
( sP16_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 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f316,f438]) ).
fof(f440,definition,
( sP25_prd
<=> ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f441,definition,
( sP26_prd
<=> ( op1(e11,e11) = e11
| op1(e11,e11) != e11 ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f442,plain,
( sP16_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP26_prd
& sP25_prd
& op1(e11,e11) = e11 )
| sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f439,f441,f440]) ).
fof(f443,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP26_prd
| ~ sP25_prd
| op1(e11,e11) != e11 )
& ~ sP24_prd )
| sP16_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP26_prd
& sP25_prd
& op1(e11,e11) = e11 )
| sP24_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f442]) ).
fof(f445,plain,
( sP25_prd
| sP24_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f443]) ).
fof(f454,plain,
( ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12 )
| sP17_prd )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f456,plain,
( op1(e10,e10) = e12
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f454]) ).
fof(f458,plain,
( ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12 )
| sP18_prd )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f319]) ).
fof(f460,plain,
( op1(e11,e11) = e12
| sP18_prd ),
inference(cnf_transformation,[status(thm)],[f458]) ).
fof(f462,definition,
( sP27_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f463,plain,
( sP19_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f332,f462]) ).
fof(f464,plain,
( ( ( ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ~ sP27_prd )
| sP19_prd )
& ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP27_prd
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f465,plain,
( op1(e13,e13) = e13
| sP27_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f466,plain,
( op1(e13,e13) != e13
| sP27_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f467,plain,
( op1(e11,e11) = e13
| sP27_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f469,plain,
( ~ sP27_prd
| sP19_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f471,definition,
( sP28_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,[sP28_prd])],[]) ).
fof(f472,plain,
( sP20_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 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f341,f471]) ).
fof(f473,definition,
( sP29_prd
<=> ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f474,definition,
( sP30_prd
<=> ( op2(e21,e21) = e21
| op2(e21,e21) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f475,plain,
( sP20_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP30_prd
& sP29_prd
& op2(e21,e21) = e21 )
| sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f472,f474,f473]) ).
fof(f476,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP30_prd
| ~ sP29_prd
| op2(e21,e21) != e21 )
& ~ sP28_prd )
| sP20_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP30_prd
& sP29_prd
& op2(e21,e21) = e21 )
| sP28_prd
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f475]) ).
fof(f478,plain,
( sP29_prd
| sP28_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f476]) ).
fof(f487,plain,
( ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP21_prd )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f343]) ).
fof(f489,plain,
( op2(e20,e20) = e22
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f491,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| sP22_prd )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f344]) ).
fof(f492,plain,
( op2(e21,e22) = e21
| op2(e21,e21) != e22
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f494,plain,
( op2(e21,e22) != e21
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f491]) ).
fof(f495,definition,
( sP31_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f496,plain,
( sP23_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f357,f495]) ).
fof(f497,plain,
( ( ( ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ~ sP31_prd )
| sP23_prd )
& ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP31_prd
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f496]) ).
fof(f498,plain,
( op2(e23,e23) = e23
| sP31_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f499,plain,
( op2(e23,e23) != e23
| sP31_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f497]) ).
fof(f504,definition,
( sP32_prd
<=> ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f505,definition,
( sP33_prd
<=> ( op1(e11,e10) = e11
| op1(e11,e11) != e10 ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f506,plain,
( sP24_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP33_prd
& sP32_prd
& op1(e10,e10) = e10 ) ),
inference(formula_renaming,[status(thm)],[f438,f505,f504]) ).
fof(f507,plain,
( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP33_prd
| ~ sP32_prd
| op1(e10,e10) != e10
| sP24_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP33_prd
& sP32_prd
& op1(e10,e10) = e10 )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f506]) ).
fof(f508,plain,
( op1(e10,e10) = e10
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f507]) ).
fof(f517,plain,
( ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11 )
| sP25_prd )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f440]) ).
fof(f518,plain,
( op1(e10,e11) = e10
| op1(e10,e10) != e11
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f517]) ).
fof(f521,plain,
( ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP26_prd )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f441]) ).
fof(f523,plain,
( op1(e11,e11) = e11
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f524,plain,
( op1(e11,e11) != e11
| sP26_prd ),
inference(cnf_transformation,[status(thm)],[f521]) ).
fof(f525,definition,
( sP34_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f526,plain,
( sP27_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f462,f525]) ).
fof(f527,plain,
( ( ( ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ~ sP34_prd )
| sP27_prd )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e13,e13) != e13
& op1(e13,e13) = e13 )
| sP34_prd
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( op1(e13,e13) = e13
| sP34_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f529,plain,
( op1(e13,e13) != e13
| sP34_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f532,plain,
( ~ sP34_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f534,definition,
( sP35_prd
<=> ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f535,definition,
( sP36_prd
<=> ( op2(e21,e20) = e21
| op2(e21,e21) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f536,plain,
( sP28_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP36_prd
& sP35_prd
& op2(e20,e20) = e20 ) ),
inference(formula_renaming,[status(thm)],[f471,f535,f534]) ).
fof(f537,plain,
( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP36_prd
| ~ sP35_prd
| op2(e20,e20) != e20
| sP28_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP36_prd
& sP35_prd
& op2(e20,e20) = e20 )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f536]) ).
fof(f538,plain,
( op2(e20,e20) = e20
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f537]) ).
fof(f547,plain,
( ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP29_prd )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f473]) ).
fof(f548,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f547]) ).
fof(f551,plain,
( ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP30_prd )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f474]) ).
fof(f553,plain,
( op2(e21,e21) = e21
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f554,plain,
( op2(e21,e21) != e21
| sP30_prd ),
inference(cnf_transformation,[status(thm)],[f551]) ).
fof(f555,definition,
( sP37_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f556,plain,
( sP31_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f495,f555]) ).
fof(f557,plain,
( ( ( ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ~ sP37_prd )
| sP31_prd )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e23,e23) != e23
& op2(e23,e23) = e23 )
| sP37_prd
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f556]) ).
fof(f558,plain,
( op2(e23,e23) = e23
| sP37_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f559,plain,
( op2(e23,e23) != e23
| sP37_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f557]) ).
fof(f564,plain,
( ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP32_prd )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| ~ sP32_prd ) ),
inference(NNF_transformation,[status(thm)],[f504]) ).
fof(f566,plain,
( op1(e10,e10) = e10
| sP32_prd ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f568,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| sP33_prd )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f505]) ).
fof(f569,plain,
( op1(e11,e10) = e11
| op1(e11,e11) != e10
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f570,plain,
( op1(e11,e11) = e10
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f568]) ).
fof(f572,definition,
( sP38_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP38_prd])],[]) ).
fof(f573,plain,
( sP34_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP38_prd ) ),
inference(formula_renaming,[status(thm)],[f525,f572]) ).
fof(f574,plain,
( ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e13,e13) = e12
| op1(e13,e12) != e13 )
& ~ sP38_prd )
| sP34_prd )
& ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP38_prd
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f573]) ).
fof(f575,plain,
( op1(e13,e12) = e13
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f576,plain,
( op1(e13,e13) != e12
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f577,plain,
( op1(e13,e13) = e12
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f578,plain,
( op1(e13,e12) != e13
| sP38_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f579,plain,
( ~ sP38_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f574]) ).
fof(f581,plain,
( ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP35_prd )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f534]) ).
fof(f583,plain,
( op2(e20,e20) = e20
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f581]) ).
fof(f585,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| sP36_prd )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f535]) ).
fof(f587,plain,
( op2(e21,e21) = e20
| sP36_prd ),
inference(cnf_transformation,[status(thm)],[f585]) ).
fof(f589,definition,
( sP39_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f590,plain,
( sP37_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f555,f589]) ).
fof(f591,plain,
( ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e23,e23) = e22
| op2(e23,e22) != e23 )
& ~ sP39_prd )
| sP37_prd )
& ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP39_prd
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f590]) ).
fof(f592,plain,
( op2(e23,e22) = e23
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f594,plain,
( op2(e23,e23) = e22
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f595,plain,
( op2(e23,e22) != e23
| sP39_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f591]) ).
fof(f598,definition,
( sP40_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f599,plain,
( sP38_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f572,f598]) ).
fof(f600,plain,
( ( ( ( op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e13,e13) = e12
| op1(e13,e12) != e13 )
& ~ sP40_prd )
| sP38_prd )
& ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP40_prd
| ~ sP38_prd ) ),
inference(NNF_transformation,[status(thm)],[f599]) ).
fof(f601,plain,
( op1(e13,e12) = e13
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f602,plain,
( op1(e13,e13) != e12
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f604,plain,
( op1(e12,e12) != e12
| sP40_prd
| ~ sP38_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f605,plain,
( ~ sP40_prd
| sP38_prd ),
inference(cnf_transformation,[status(thm)],[f600]) ).
fof(f607,definition,
( sP41_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f608,plain,
( sP39_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f589,f607]) ).
fof(f609,plain,
( ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e23,e23) = e22
| op2(e23,e22) != e23 )
& ~ sP41_prd )
| sP39_prd )
& ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP41_prd
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f608]) ).
fof(f610,plain,
( op2(e23,e22) = e23
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f612,plain,
( op2(e22,e22) = e22
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f613,plain,
( op2(e22,e22) != e22
| sP41_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f609]) ).
fof(f616,definition,
( sP42_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f617,plain,
( sP40_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f598,f616]) ).
fof(f618,plain,
( ( ( ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e13,e13) = e12
| op1(e13,e12) != e13 )
& ~ sP42_prd )
| sP40_prd )
& ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP42_prd
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f617]) ).
fof(f619,plain,
( op1(e13,e12) = e13
| sP42_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f620,plain,
( op1(e13,e13) != e12
| sP42_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f621,plain,
( op1(e11,e11) = e12
| sP42_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f623,plain,
( ~ sP42_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f625,definition,
( sP43_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f626,plain,
( sP41_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f607,f625]) ).
fof(f627,plain,
( ( ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e23,e23) = e22
| op2(e23,e22) != e23 )
& ~ sP43_prd )
| sP41_prd )
& ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP43_prd
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f626]) ).
fof(f628,plain,
( op2(e23,e22) = e23
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f627]) ).
fof(f629,plain,
( op2(e23,e23) != e22
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f627]) ).
fof(f631,plain,
( op2(e21,e22) != e21
| sP43_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f627]) ).
fof(f634,definition,
( sP44_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP44_prd])],[]) ).
fof(f635,plain,
( sP42_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP44_prd ) ),
inference(formula_renaming,[status(thm)],[f616,f634]) ).
fof(f636,plain,
( ( ( ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e13,e13) = e12
| op1(e13,e12) != e13 )
& ~ sP44_prd )
| sP42_prd )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e13,e13) != e12
& op1(e13,e12) = e13 )
| sP44_prd
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f635]) ).
fof(f637,plain,
( op1(e13,e12) = e13
| sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f638,plain,
( op1(e13,e13) != e12
| sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f639,plain,
( op1(e10,e10) = e12
| sP44_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f641,plain,
( ~ sP44_prd
| sP42_prd ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f643,definition,
( sP45_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f644,plain,
( sP43_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f625,f643]) ).
fof(f645,plain,
( ( ( ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e23,e23) = e22
| op2(e23,e22) != e23 )
& ~ sP45_prd )
| sP43_prd )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e23,e23) != e22
& op2(e23,e22) = e23 )
| sP45_prd
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f644]) ).
fof(f646,plain,
( op2(e23,e22) = e23
| sP45_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f648,plain,
( op2(e20,e20) = e22
| sP45_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f650,plain,
( ~ sP45_prd
| sP43_prd ),
inference(cnf_transformation,[status(thm)],[f645]) ).
fof(f652,definition,
( sP46_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f653,plain,
( sP44_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f634,f652]) ).
fof(f654,plain,
( ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11
| op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ~ sP46_prd )
| sP44_prd )
& ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP46_prd
| ~ sP44_prd ) ),
inference(NNF_transformation,[status(thm)],[f653]) ).
fof(f655,plain,
( op1(e13,e11) = e13
| sP46_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f657,plain,
( op1(e13,e13) = e11
| sP46_prd
| ~ sP44_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f659,plain,
( ~ sP46_prd
| sP44_prd ),
inference(cnf_transformation,[status(thm)],[f654]) ).
fof(f661,definition,
( sP47_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f662,plain,
( sP45_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f643,f661]) ).
fof(f663,plain,
( ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21
| op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ~ sP47_prd )
| sP45_prd )
& ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP47_prd
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f662]) ).
fof(f664,plain,
( op2(e23,e21) = e23
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f666,plain,
( op2(e23,e23) = e21
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f667,plain,
( op2(e23,e21) != e23
| sP47_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f668,plain,
( ~ sP47_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f663]) ).
fof(f670,definition,
( sP48_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f671,plain,
( sP46_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f652,f670]) ).
fof(f672,plain,
( ( ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11
| op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ~ sP48_prd )
| sP46_prd )
& ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP48_prd
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f671]) ).
fof(f673,plain,
( op1(e13,e11) = e13
| sP48_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f672]) ).
fof(f675,plain,
( op1(e12,e12) = e11
| sP48_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f672]) ).
fof(f677,plain,
( ~ sP48_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f672]) ).
fof(f679,definition,
( sP49_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f680,plain,
( sP47_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f661,f679]) ).
fof(f681,plain,
( ( ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21
| op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ~ sP49_prd )
| sP47_prd )
& ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP49_prd
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f680]) ).
fof(f682,plain,
( op2(e23,e21) = e23
| sP49_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f681]) ).
fof(f684,plain,
( op2(e22,e22) = e21
| sP49_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f681]) ).
fof(f688,definition,
( sP50_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP50_prd])],[]) ).
fof(f689,plain,
( sP48_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP50_prd ) ),
inference(formula_renaming,[status(thm)],[f670,f688]) ).
fof(f690,plain,
( ( ( ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ~ sP50_prd )
| sP48_prd )
& ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP50_prd
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f689]) ).
fof(f691,plain,
( op1(e13,e11) = e13
| sP50_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f694,plain,
( op1(e11,e11) != e11
| sP50_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f695,plain,
( ~ sP50_prd
| sP48_prd ),
inference(cnf_transformation,[status(thm)],[f690]) ).
fof(f697,definition,
( sP51_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f698,plain,
( sP49_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f679,f697]) ).
fof(f699,plain,
( ( ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ~ sP51_prd )
| sP49_prd )
& ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP51_prd
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f698]) ).
fof(f700,plain,
( op2(e23,e21) = e23
| sP51_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f701,plain,
( op2(e23,e23) != e21
| sP51_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f702,plain,
( op2(e21,e21) = e21
| sP51_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f706,definition,
( sP52_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f707,plain,
( sP50_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f688,f706]) ).
fof(f708,plain,
( ( ( ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ~ sP52_prd )
| sP50_prd )
& ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e13,e13) != e11
& op1(e13,e11) = e13 )
| sP52_prd
| ~ sP50_prd ) ),
inference(NNF_transformation,[status(thm)],[f707]) ).
fof(f709,plain,
( op1(e13,e11) = e13
| sP52_prd
| ~ sP50_prd ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f713,plain,
( ~ sP52_prd
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f714,plain,
( op1(e10,e11) = e10
| op1(e10,e10) != e11
| op1(e13,e13) = e11
| op1(e13,e11) != e13
| sP50_prd ),
inference(cnf_transformation,[status(thm)],[f708]) ).
fof(f715,definition,
( sP53_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f716,plain,
( sP51_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f697,f715]) ).
fof(f717,plain,
( ( ( ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ~ sP53_prd )
| sP51_prd )
& ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e23,e23) != e21
& op2(e23,e21) = e23 )
| sP53_prd
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f716]) ).
fof(f718,plain,
( op2(e23,e21) = e23
| sP53_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f717]) ).
fof(f719,plain,
( op2(e23,e23) != e21
| sP53_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f717]) ).
fof(f723,plain,
( op2(e20,e21) = e20
| op2(e20,e20) != e21
| op2(e23,e23) = e21
| op2(e23,e21) != e23
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f717]) ).
fof(f724,definition,
( sP54_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f725,plain,
( sP52_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f706,f724]) ).
fof(f726,plain,
( ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ~ sP54_prd )
| sP52_prd )
& ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP54_prd
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f725]) ).
fof(f727,plain,
( op1(e13,e10) = e13
| sP54_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f726]) ).
fof(f728,plain,
( op1(e13,e13) != e10
| sP54_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f726]) ).
fof(f729,plain,
( op1(e13,e13) = e10
| sP54_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f726]) ).
fof(f730,plain,
( op1(e13,e10) != e13
| sP54_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f726]) ).
fof(f731,plain,
( ~ sP54_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f726]) ).
fof(f733,definition,
( sP55_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f734,plain,
( sP53_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f715,f733]) ).
fof(f735,plain,
( ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ~ sP55_prd )
| sP53_prd )
& ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP55_prd
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f734]) ).
fof(f736,plain,
( op2(e23,e20) = e23
| sP55_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f735]) ).
fof(f742,definition,
( sP56_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP56_prd])],[]) ).
fof(f743,plain,
( sP54_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP56_prd ) ),
inference(formula_renaming,[status(thm)],[f724,f742]) ).
fof(f744,plain,
( ( ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ~ sP56_prd )
| sP54_prd )
& ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP56_prd
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f743]) ).
fof(f745,plain,
( op1(e13,e10) = e13
| sP56_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f746,plain,
( op1(e13,e13) != e10
| sP56_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f747,plain,
( op1(e12,e12) = e10
| sP56_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f749,plain,
( ~ sP56_prd
| sP54_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f751,definition,
( sP57_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f752,plain,
( sP55_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f733,f751]) ).
fof(f753,plain,
( ( ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ~ sP57_prd )
| sP55_prd )
& ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP57_prd
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f752]) ).
fof(f754,plain,
( op2(e23,e20) = e23
| sP57_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f753]) ).
fof(f760,definition,
( sP58_prd
<=> ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f761,plain,
( sP56_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f742,f760]) ).
fof(f762,plain,
( ( ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ~ sP58_prd )
| sP56_prd )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP58_prd
| ~ sP56_prd ) ),
inference(NNF_transformation,[status(thm)],[f761]) ).
fof(f763,plain,
( op1(e13,e10) = e13
| sP58_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f764,plain,
( op1(e13,e13) != e10
| sP58_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f765,plain,
( op1(e11,e11) = e10
| sP58_prd
| ~ sP56_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f767,plain,
( ~ sP58_prd
| sP56_prd ),
inference(cnf_transformation,[status(thm)],[f762]) ).
fof(f769,definition,
( sP59_prd
<=> ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f770,plain,
( sP57_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f751,f769]) ).
fof(f771,plain,
( ( ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ~ sP59_prd )
| sP57_prd )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP59_prd
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f770]) ).
fof(f772,plain,
( op2(e23,e20) = e23
| sP59_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f771]) ).
fof(f778,definition,
( sP60_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f779,plain,
( sP58_prd
<=> ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f760,f778]) ).
fof(f780,plain,
( ( ( ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ~ sP60_prd )
| sP58_prd )
& ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e13,e13) != e10
& op1(e13,e10) = e13 )
| sP60_prd
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f779]) ).
fof(f781,plain,
( op1(e13,e10) = e13
| sP60_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f780]) ).
fof(f782,plain,
( op1(e13,e13) != e10
| sP60_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f780]) ).
fof(f783,plain,
( op1(e10,e10) = e10
| sP60_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f780]) ).
fof(f785,plain,
( ~ sP60_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f780]) ).
fof(f787,definition,
( sP61_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f788,plain,
( sP59_prd
<=> ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f769,f787]) ).
fof(f789,plain,
( ( ( ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ~ sP61_prd )
| sP59_prd )
& ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e23,e23) != e20
& op2(e23,e20) = e23 )
| sP61_prd
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f788]) ).
fof(f790,plain,
( op2(e23,e20) = e23
| sP61_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f789]) ).
fof(f796,definition,
( sP62_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP62_prd])],[]) ).
fof(f797,plain,
( sP60_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP62_prd ) ),
inference(formula_renaming,[status(thm)],[f778,f796]) ).
fof(f798,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13
| op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ~ sP62_prd )
| sP60_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP62_prd
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f797]) ).
fof(f799,plain,
( op1(e12,e13) = e12
| sP62_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f801,plain,
( op1(e13,e13) = e13
| sP62_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f802,plain,
( op1(e13,e13) != e13
| sP62_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f803,plain,
( ~ sP62_prd
| sP60_prd ),
inference(cnf_transformation,[status(thm)],[f798]) ).
fof(f805,definition,
( sP63_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f806,plain,
( sP61_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f787,f805]) ).
fof(f807,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23
| op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ~ sP63_prd )
| sP61_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP63_prd
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f806]) ).
fof(f808,plain,
( op2(e22,e23) = e22
| sP63_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f807]) ).
fof(f810,plain,
( op2(e23,e23) = e23
| sP63_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f807]) ).
fof(f811,plain,
( op2(e23,e23) != e23
| sP63_prd
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f807]) ).
fof(f814,definition,
( sP64_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f815,plain,
( sP62_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f796,f814]) ).
fof(f816,plain,
( ( ( ( op1(e12,e13) = e12
| op1(e12,e12) != e13
| op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ~ sP64_prd )
| sP62_prd )
& ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP64_prd
| ~ sP62_prd ) ),
inference(NNF_transformation,[status(thm)],[f815]) ).
fof(f817,plain,
( op1(e12,e13) = e12
| sP64_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f819,plain,
( op1(e12,e12) = e13
| sP64_prd
| ~ sP62_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f821,plain,
( ~ sP64_prd
| sP62_prd ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f823,definition,
( sP65_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f824,plain,
( sP63_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f805,f823]) ).
fof(f825,plain,
( ( ( ( op2(e22,e23) = e22
| op2(e22,e22) != e23
| op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ~ sP65_prd )
| sP63_prd )
& ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP65_prd
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f824]) ).
fof(f826,plain,
( op2(e22,e23) = e22
| sP65_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f825]) ).
fof(f829,plain,
( op2(e22,e23) != e22
| sP65_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f825]) ).
fof(f832,definition,
( sP66_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f833,plain,
( sP64_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f814,f832]) ).
fof(f834,plain,
( ( ( ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ~ sP66_prd )
| sP64_prd )
& ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP66_prd
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f833]) ).
fof(f835,plain,
( op1(e12,e13) = e12
| sP66_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f838,plain,
( op1(e11,e13) != e11
| sP66_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f839,plain,
( ~ sP66_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f834]) ).
fof(f841,definition,
( sP67_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f842,plain,
( sP65_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f823,f841]) ).
fof(f843,plain,
( ( ( ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ~ sP67_prd )
| sP65_prd )
& ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP67_prd
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f842]) ).
fof(f844,plain,
( op2(e22,e23) = e22
| sP67_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f843]) ).
fof(f846,plain,
( op2(e21,e21) = e23
| sP67_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f843]) ).
fof(f847,plain,
( op2(e21,e23) != e21
| sP67_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f843]) ).
fof(f848,plain,
( ~ sP67_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f843]) ).
fof(f850,definition,
( sP68_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP68_prd])],[]) ).
fof(f851,plain,
( sP66_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP68_prd ) ),
inference(formula_renaming,[status(thm)],[f832,f850]) ).
fof(f852,plain,
( ( ( ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ~ sP68_prd )
| sP66_prd )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e12,e12) != e13
& op1(e12,e13) = e12 )
| sP68_prd
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f851]) ).
fof(f853,plain,
( op1(e12,e13) = e12
| sP68_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f852]) ).
fof(f856,plain,
( op1(e10,e13) != e10
| sP68_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f852]) ).
fof(f857,plain,
( ~ sP68_prd
| sP66_prd ),
inference(cnf_transformation,[status(thm)],[f852]) ).
fof(f859,definition,
( sP69_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f860,plain,
( sP67_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f841,f859]) ).
fof(f861,plain,
( ( ( ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ~ sP69_prd )
| sP67_prd )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| sP69_prd
| ~ sP67_prd ) ),
inference(NNF_transformation,[status(thm)],[f860]) ).
fof(f862,plain,
( op2(e22,e23) = e22
| sP69_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f861]) ).
fof(f865,plain,
( op2(e20,e23) != e20
| sP69_prd
| ~ sP67_prd ),
inference(cnf_transformation,[status(thm)],[f861]) ).
fof(f866,plain,
( ~ sP69_prd
| sP67_prd ),
inference(cnf_transformation,[status(thm)],[f861]) ).
fof(f868,definition,
( sP70_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f869,plain,
( sP68_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f850,f868]) ).
fof(f870,plain,
( ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP70_prd )
| sP68_prd )
& ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP70_prd
| ~ sP68_prd ) ),
inference(NNF_transformation,[status(thm)],[f869]) ).
fof(f871,plain,
( op1(e12,e12) = e12
| sP70_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f872,plain,
( op1(e12,e12) != e12
| sP70_prd
| ~ sP68_prd ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f875,plain,
( ~ sP70_prd
| sP68_prd ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f877,definition,
( sP71_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f878,plain,
( sP69_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f859,f877]) ).
fof(f879,plain,
( ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP71_prd )
| sP69_prd )
& ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP71_prd
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f878]) ).
fof(f880,plain,
( op2(e22,e22) = e22
| sP71_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f881,plain,
( op2(e22,e22) != e22
| sP71_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f884,plain,
( ~ sP71_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f879]) ).
fof(f886,definition,
( sP72_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f887,plain,
( sP70_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f868,f886]) ).
fof(f888,plain,
( ( ( ( op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP72_prd )
| sP70_prd )
& ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP72_prd
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f887]) ).
fof(f889,plain,
( op1(e12,e12) = e12
| sP72_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f890,plain,
( op1(e12,e12) != e12
| sP72_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f893,plain,
( ~ sP72_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f895,definition,
( sP73_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP73_prd])],[]) ).
fof(f896,plain,
( sP71_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP73_prd ) ),
inference(formula_renaming,[status(thm)],[f877,f895]) ).
fof(f897,plain,
( ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP73_prd )
| sP71_prd )
& ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP73_prd
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f896]) ).
fof(f898,plain,
( op2(e22,e22) = e22
| sP73_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f897]) ).
fof(f899,plain,
( op2(e22,e22) != e22
| sP73_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f897]) ).
fof(f902,plain,
( ~ sP73_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f897]) ).
fof(f904,definition,
( sP74_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP74_prd])],[]) ).
fof(f905,plain,
( sP72_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP74_prd ) ),
inference(formula_renaming,[status(thm)],[f886,f904]) ).
fof(f906,plain,
( ( ( ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP74_prd )
| sP72_prd )
& ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP74_prd
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f905]) ).
fof(f907,plain,
( op1(e12,e12) = e12
| sP74_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f908,plain,
( op1(e12,e12) != e12
| sP74_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f909,plain,
( op1(e11,e11) = e12
| sP74_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f911,plain,
( ~ sP74_prd
| sP72_prd ),
inference(cnf_transformation,[status(thm)],[f906]) ).
fof(f913,definition,
( sP75_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f914,plain,
( sP73_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f895,f913]) ).
fof(f915,plain,
( ( ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP75_prd )
| sP73_prd )
& ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP75_prd
| ~ sP73_prd ) ),
inference(NNF_transformation,[status(thm)],[f914]) ).
fof(f916,plain,
( op2(e22,e22) = e22
| sP75_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f917,plain,
( op2(e22,e22) != e22
| sP75_prd
| ~ sP73_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f920,plain,
( ~ sP75_prd
| sP73_prd ),
inference(cnf_transformation,[status(thm)],[f915]) ).
fof(f922,definition,
( sP76_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f923,plain,
( sP74_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f904,f922]) ).
fof(f924,plain,
( ( ( ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ~ sP76_prd )
| sP74_prd )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e12,e12) != e12
& op1(e12,e12) = e12 )
| sP76_prd
| ~ sP74_prd ) ),
inference(NNF_transformation,[status(thm)],[f923]) ).
fof(f925,plain,
( op1(e12,e12) = e12
| sP76_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f926,plain,
( op1(e12,e12) != e12
| sP76_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f927,plain,
( op1(e10,e10) = e12
| sP76_prd
| ~ sP74_prd ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f929,plain,
( ~ sP76_prd
| sP74_prd ),
inference(cnf_transformation,[status(thm)],[f924]) ).
fof(f931,definition,
( sP77_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f932,plain,
( sP75_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f913,f931]) ).
fof(f933,plain,
( ( ( ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ~ sP77_prd )
| sP75_prd )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| sP77_prd
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f932]) ).
fof(f934,plain,
( op2(e22,e22) = e22
| sP77_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f935,plain,
( op2(e22,e22) != e22
| sP77_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f938,plain,
( ~ sP77_prd
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f933]) ).
fof(f940,definition,
( sP78_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f941,plain,
( sP76_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f922,f940]) ).
fof(f942,plain,
( ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11
| op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ~ sP78_prd )
| sP76_prd )
& ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP78_prd
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f941]) ).
fof(f943,plain,
( op1(e12,e11) = e12
| sP78_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f942]) ).
fof(f945,plain,
( op1(e13,e13) = e11
| sP78_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f942]) ).
fof(f947,plain,
( ~ sP78_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f942]) ).
fof(f949,definition,
( sP79_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP79_prd])],[]) ).
fof(f950,plain,
( sP77_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP79_prd ) ),
inference(formula_renaming,[status(thm)],[f931,f949]) ).
fof(f951,plain,
( ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21
| op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ~ sP79_prd )
| sP77_prd )
& ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP79_prd
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f950]) ).
fof(f952,plain,
( op2(e22,e21) = e22
| sP79_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f951]) ).
fof(f956,plain,
( ~ sP79_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f951]) ).
fof(f958,definition,
( sP80_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP80_prd])],[]) ).
fof(f959,plain,
( sP78_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP80_prd ) ),
inference(formula_renaming,[status(thm)],[f940,f958]) ).
fof(f960,plain,
( ( ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11
| op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ~ sP80_prd )
| sP78_prd )
& ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP80_prd
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f959]) ).
fof(f961,plain,
( op1(e12,e11) = e12
| sP80_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f963,plain,
( op1(e12,e12) = e11
| sP80_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f965,plain,
( ~ sP80_prd
| sP78_prd ),
inference(cnf_transformation,[status(thm)],[f960]) ).
fof(f967,definition,
( sP81_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f968,plain,
( sP79_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f949,f967]) ).
fof(f969,plain,
( ( ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21
| op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ~ sP81_prd )
| sP79_prd )
& ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP81_prd
| ~ sP79_prd ) ),
inference(NNF_transformation,[status(thm)],[f968]) ).
fof(f970,plain,
( op2(e22,e21) = e22
| sP81_prd
| ~ sP79_prd ),
inference(cnf_transformation,[status(thm)],[f969]) ).
fof(f974,plain,
( ~ sP81_prd
| sP79_prd ),
inference(cnf_transformation,[status(thm)],[f969]) ).
fof(f976,definition,
( sP82_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f977,plain,
( sP80_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f958,f976]) ).
fof(f978,plain,
( ( ( ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ~ sP82_prd )
| sP80_prd )
& ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP82_prd
| ~ sP80_prd ) ),
inference(NNF_transformation,[status(thm)],[f977]) ).
fof(f979,plain,
( op1(e12,e11) = e12
| sP82_prd
| ~ sP80_prd ),
inference(cnf_transformation,[status(thm)],[f978]) ).
fof(f983,plain,
( ~ sP82_prd
| sP80_prd ),
inference(cnf_transformation,[status(thm)],[f978]) ).
fof(f985,definition,
( sP83_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f986,plain,
( sP81_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f967,f985]) ).
fof(f987,plain,
( ( ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ~ sP83_prd )
| sP81_prd )
& ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP83_prd
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f986]) ).
fof(f988,plain,
( op2(e22,e21) = e22
| sP83_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f987]) ).
fof(f992,plain,
( ~ sP83_prd
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f987]) ).
fof(f994,definition,
( sP84_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f995,plain,
( sP82_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f976,f994]) ).
fof(f996,plain,
( ( ( ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ~ sP84_prd )
| sP82_prd )
& ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e12,e12) != e11
& op1(e12,e11) = e12 )
| sP84_prd
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f995]) ).
fof(f997,plain,
( op1(e12,e11) = e12
| sP84_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f996]) ).
fof(f1001,plain,
( ~ sP84_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f996]) ).
fof(f1003,definition,
( sP85_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP85_prd])],[]) ).
fof(f1004,plain,
( sP83_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP85_prd ) ),
inference(formula_renaming,[status(thm)],[f985,f1003]) ).
fof(f1005,plain,
( ( ( ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ~ sP85_prd )
| sP83_prd )
& ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| sP85_prd
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f1004]) ).
fof(f1006,plain,
( op2(e22,e21) = e22
| sP85_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1005]) ).
fof(f1010,plain,
( ~ sP85_prd
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f1005]) ).
fof(f1012,definition,
( sP86_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP86_prd])],[]) ).
fof(f1013,plain,
( sP84_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP86_prd ) ),
inference(formula_renaming,[status(thm)],[f994,f1012]) ).
fof(f1014,plain,
( ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ~ sP86_prd )
| sP84_prd )
& ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP86_prd
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f1013]) ).
fof(f1015,plain,
( op1(e12,e10) = e12
| sP86_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1014]) ).
fof(f1019,plain,
( ~ sP86_prd
| sP84_prd ),
inference(cnf_transformation,[status(thm)],[f1014]) ).
fof(f1021,definition,
( sP87_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f1022,plain,
( sP85_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP87_prd ) ),
inference(formula_renaming,[status(thm)],[f1003,f1021]) ).
fof(f1023,plain,
( ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ~ sP87_prd )
| sP85_prd )
& ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP87_prd
| ~ sP85_prd ) ),
inference(NNF_transformation,[status(thm)],[f1022]) ).
fof(f1024,plain,
( op2(e22,e20) = e22
| sP87_prd
| ~ sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1023]) ).
fof(f1028,plain,
( ~ sP87_prd
| sP85_prd ),
inference(cnf_transformation,[status(thm)],[f1023]) ).
fof(f1030,definition,
( sP88_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f1031,plain,
( sP86_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f1012,f1030]) ).
fof(f1032,plain,
( ( ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ~ sP88_prd )
| sP86_prd )
& ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP88_prd
| ~ sP86_prd ) ),
inference(NNF_transformation,[status(thm)],[f1031]) ).
fof(f1033,plain,
( op1(e12,e10) = e12
| sP88_prd
| ~ sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1032]) ).
fof(f1037,plain,
( ~ sP88_prd
| sP86_prd ),
inference(cnf_transformation,[status(thm)],[f1032]) ).
fof(f1039,definition,
( sP89_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f1040,plain,
( sP87_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f1021,f1039]) ).
fof(f1041,plain,
( ( ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ~ sP89_prd )
| sP87_prd )
& ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP89_prd
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f1040]) ).
fof(f1042,plain,
( op2(e22,e20) = e22
| sP89_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1041]) ).
fof(f1046,plain,
( ~ sP89_prd
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f1041]) ).
fof(f1048,definition,
( sP90_prd
<=> ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f1049,plain,
( sP88_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP90_prd ) ),
inference(formula_renaming,[status(thm)],[f1030,f1048]) ).
fof(f1050,plain,
( ( ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ~ sP90_prd )
| sP88_prd )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP90_prd
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f1049]) ).
fof(f1051,plain,
( op1(e12,e10) = e12
| sP90_prd
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1050]) ).
fof(f1055,plain,
( ~ sP90_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f1050]) ).
fof(f1057,definition,
( sP91_prd
<=> ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP91_prd])],[]) ).
fof(f1058,plain,
( sP89_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP91_prd ) ),
inference(formula_renaming,[status(thm)],[f1039,f1057]) ).
fof(f1059,plain,
( ( ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ~ sP91_prd )
| sP89_prd )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP91_prd
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f1058]) ).
fof(f1060,plain,
( op2(e22,e20) = e22
| sP91_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1059]) ).
fof(f1064,plain,
( ~ sP91_prd
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f1059]) ).
fof(f1066,definition,
( sP92_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP92_prd])],[]) ).
fof(f1067,plain,
( sP90_prd
<=> ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP92_prd ) ),
inference(formula_renaming,[status(thm)],[f1048,f1066]) ).
fof(f1068,plain,
( ( ( ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ~ sP92_prd )
| sP90_prd )
& ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e12,e12) != e10
& op1(e12,e10) = e12 )
| sP92_prd
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f1067]) ).
fof(f1069,plain,
( op1(e12,e10) = e12
| sP92_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1073,plain,
( ~ sP92_prd
| sP90_prd ),
inference(cnf_transformation,[status(thm)],[f1068]) ).
fof(f1075,definition,
( sP93_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f1076,plain,
( sP91_prd
<=> ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f1057,f1075]) ).
fof(f1077,plain,
( ( ( ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ~ sP93_prd )
| sP91_prd )
& ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| sP93_prd
| ~ sP91_prd ) ),
inference(NNF_transformation,[status(thm)],[f1076]) ).
fof(f1078,plain,
( op2(e22,e20) = e22
| sP93_prd
| ~ sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1077]) ).
fof(f1082,plain,
( ~ sP93_prd
| sP91_prd ),
inference(cnf_transformation,[status(thm)],[f1077]) ).
fof(f1084,definition,
( sP94_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f1085,plain,
( sP92_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f1066,f1084]) ).
fof(f1086,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13
| op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ~ sP94_prd )
| sP92_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP94_prd
| ~ sP92_prd ) ),
inference(NNF_transformation,[status(thm)],[f1085]) ).
fof(f1087,plain,
( op1(e11,e13) = e11
| sP94_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1086]) ).
fof(f1088,plain,
( op1(e11,e11) != e13
| sP94_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1086]) ).
fof(f1090,plain,
( op1(e13,e13) != e13
| sP94_prd
| ~ sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1086]) ).
fof(f1091,plain,
( ~ sP94_prd
| sP92_prd ),
inference(cnf_transformation,[status(thm)],[f1086]) ).
fof(f1093,definition,
( sP95_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f1094,plain,
( sP93_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f1075,f1093]) ).
fof(f1095,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23
| op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ~ sP95_prd )
| sP93_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP95_prd
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f1094]) ).
fof(f1096,plain,
( op2(e21,e23) = e21
| sP95_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1095]) ).
fof(f1097,plain,
( op2(e21,e21) != e23
| sP95_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1095]) ).
fof(f1098,plain,
( op2(e23,e23) = e23
| sP95_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1095]) ).
fof(f1100,plain,
( ~ sP95_prd
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f1095]) ).
fof(f1102,definition,
( sP96_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f1103,plain,
( sP94_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP96_prd ) ),
inference(formula_renaming,[status(thm)],[f1084,f1102]) ).
fof(f1104,plain,
( ( ( ( op1(e12,e13) = e12
| op1(e12,e12) != e13
| op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ~ sP96_prd )
| sP94_prd )
& ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP96_prd
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f1103]) ).
fof(f1105,plain,
( op1(e11,e13) = e11
| sP96_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1106,plain,
( op1(e11,e11) != e13
| sP96_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1107,plain,
( op1(e12,e12) = e13
| sP96_prd
| ~ sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1109,plain,
( ~ sP96_prd
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f1104]) ).
fof(f1111,definition,
( sP97_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP97_prd])],[]) ).
fof(f1112,plain,
( sP95_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP97_prd ) ),
inference(formula_renaming,[status(thm)],[f1093,f1111]) ).
fof(f1113,plain,
( ( ( ( op2(e22,e23) = e22
| op2(e22,e22) != e23
| op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ~ sP97_prd )
| sP95_prd )
& ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP97_prd
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f1112]) ).
fof(f1114,plain,
( op2(e21,e23) = e21
| sP97_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1115,plain,
( op2(e21,e21) != e23
| sP97_prd
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1118,plain,
( ~ sP97_prd
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1113]) ).
fof(f1120,definition,
( sP98_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f1121,plain,
( sP96_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f1102,f1120]) ).
fof(f1122,plain,
( ( ( ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ~ sP98_prd )
| sP96_prd )
& ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP98_prd
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1121]) ).
fof(f1123,plain,
( op1(e11,e13) = e11
| sP98_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1124,plain,
( op1(e11,e11) != e13
| sP98_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1125,plain,
( op1(e11,e11) = e13
| sP98_prd
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1127,plain,
( ~ sP98_prd
| sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1122]) ).
fof(f1129,definition,
( sP99_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f1130,plain,
( sP97_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP99_prd ) ),
inference(formula_renaming,[status(thm)],[f1111,f1129]) ).
fof(f1131,plain,
( ( ( ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ~ sP99_prd )
| sP97_prd )
& ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP99_prd
| ~ sP97_prd ) ),
inference(NNF_transformation,[status(thm)],[f1130]) ).
fof(f1132,plain,
( op2(e21,e23) = e21
| sP99_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1131]) ).
fof(f1133,plain,
( op2(e21,e21) != e23
| sP99_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1131]) ).
fof(f1134,plain,
( op2(e21,e21) = e23
| sP99_prd
| ~ sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1131]) ).
fof(f1136,plain,
( ~ sP99_prd
| sP97_prd ),
inference(cnf_transformation,[status(thm)],[f1131]) ).
fof(f1138,definition,
( sP100_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1139,plain,
( sP98_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f1120,f1138]) ).
fof(f1140,plain,
( ( ( ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ~ sP100_prd )
| sP98_prd )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| sP100_prd
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1139]) ).
fof(f1141,plain,
( op1(e11,e13) = e11
| sP100_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f1142,plain,
( op1(e11,e11) != e13
| sP100_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f1144,plain,
( op1(e10,e13) != e10
| sP100_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f1145,plain,
( ~ sP100_prd
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f1147,definition,
( sP101_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1148,plain,
( sP99_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f1129,f1147]) ).
fof(f1149,plain,
( ( ( ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ~ sP101_prd )
| sP99_prd )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| sP101_prd
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f1148]) ).
fof(f1150,plain,
( op2(e21,e23) = e21
| sP101_prd
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1149]) ).
fof(f1151,plain,
( op2(e21,e21) != e23
| sP101_prd
| ~ sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1149]) ).
fof(f1154,plain,
( ~ sP101_prd
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1149]) ).
fof(f1156,definition,
( sP102_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP102_prd])],[]) ).
fof(f1157,plain,
( sP100_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP102_prd ) ),
inference(formula_renaming,[status(thm)],[f1138,f1156]) ).
fof(f1158,plain,
( ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ~ sP102_prd )
| sP100_prd )
& ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP102_prd
| ~ sP100_prd ) ),
inference(NNF_transformation,[status(thm)],[f1157]) ).
fof(f1159,plain,
( op1(e11,e12) = e11
| sP102_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1158]) ).
fof(f1161,plain,
( op1(e13,e13) = e12
| sP102_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1158]) ).
fof(f1162,plain,
( op1(e13,e12) != e13
| sP102_prd
| ~ sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1158]) ).
fof(f1163,plain,
( ~ sP102_prd
| sP100_prd ),
inference(cnf_transformation,[status(thm)],[f1158]) ).
fof(f1165,definition,
( sP103_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP103_prd])],[]) ).
fof(f1166,plain,
( sP101_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP103_prd ) ),
inference(formula_renaming,[status(thm)],[f1147,f1165]) ).
fof(f1167,plain,
( ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ~ sP103_prd )
| sP101_prd )
& ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP103_prd
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1166]) ).
fof(f1168,plain,
( op2(e21,e22) = e21
| sP103_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1167]) ).
fof(f1170,plain,
( op2(e23,e23) = e22
| sP103_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1167]) ).
fof(f1171,plain,
( op2(e23,e22) != e23
| sP103_prd
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1167]) ).
fof(f1172,plain,
( ~ sP103_prd
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1167]) ).
fof(f1174,definition,
( sP104_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP104_prd])],[]) ).
fof(f1175,plain,
( sP102_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP104_prd ) ),
inference(formula_renaming,[status(thm)],[f1156,f1174]) ).
fof(f1176,plain,
( ( ( ( op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ~ sP104_prd )
| sP102_prd )
& ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP104_prd
| ~ sP102_prd ) ),
inference(NNF_transformation,[status(thm)],[f1175]) ).
fof(f1177,plain,
( op1(e11,e12) = e11
| sP104_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1180,plain,
( op1(e12,e12) != e12
| sP104_prd
| ~ sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1181,plain,
( ~ sP104_prd
| sP102_prd ),
inference(cnf_transformation,[status(thm)],[f1176]) ).
fof(f1183,definition,
( sP105_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP105_prd])],[]) ).
fof(f1184,plain,
( sP103_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP105_prd ) ),
inference(formula_renaming,[status(thm)],[f1165,f1183]) ).
fof(f1185,plain,
( ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ~ sP105_prd )
| sP103_prd )
& ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP105_prd
| ~ sP103_prd ) ),
inference(NNF_transformation,[status(thm)],[f1184]) ).
fof(f1186,plain,
( op2(e21,e22) = e21
| sP105_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1185]) ).
fof(f1189,plain,
( op2(e22,e22) != e22
| sP105_prd
| ~ sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1185]) ).
fof(f1190,plain,
( ~ sP105_prd
| sP103_prd ),
inference(cnf_transformation,[status(thm)],[f1185]) ).
fof(f1192,definition,
( sP106_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP106_prd])],[]) ).
fof(f1193,plain,
( sP104_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP106_prd ) ),
inference(formula_renaming,[status(thm)],[f1174,f1192]) ).
fof(f1194,plain,
( ( ( ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ~ sP106_prd )
| sP104_prd )
& ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP106_prd
| ~ sP104_prd ) ),
inference(NNF_transformation,[status(thm)],[f1193]) ).
fof(f1195,plain,
( op1(e11,e12) = e11
| sP106_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1197,plain,
( op1(e11,e11) = e12
| sP106_prd
| ~ sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1199,plain,
( ~ sP106_prd
| sP104_prd ),
inference(cnf_transformation,[status(thm)],[f1194]) ).
fof(f1201,definition,
( sP107_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP107_prd])],[]) ).
fof(f1202,plain,
( sP105_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP107_prd ) ),
inference(formula_renaming,[status(thm)],[f1183,f1201]) ).
fof(f1203,plain,
( ( ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ~ sP107_prd )
| sP105_prd )
& ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP107_prd
| ~ sP105_prd ) ),
inference(NNF_transformation,[status(thm)],[f1202]) ).
fof(f1204,plain,
( op2(e21,e22) = e21
| sP107_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1203]) ).
fof(f1206,plain,
( op2(e21,e21) = e22
| sP107_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1203]) ).
fof(f1207,plain,
( op2(e21,e22) != e21
| sP107_prd
| ~ sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1203]) ).
fof(f1208,plain,
( ~ sP107_prd
| sP105_prd ),
inference(cnf_transformation,[status(thm)],[f1203]) ).
fof(f1210,definition,
( sP108_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP108_prd])],[]) ).
fof(f1211,plain,
( sP106_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP108_prd ) ),
inference(formula_renaming,[status(thm)],[f1192,f1210]) ).
fof(f1212,plain,
( ( ( ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ~ sP108_prd )
| sP106_prd )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e11,e11) != e12
& op1(e11,e12) = e11 )
| sP108_prd
| ~ sP106_prd ) ),
inference(NNF_transformation,[status(thm)],[f1211]) ).
fof(f1213,plain,
( op1(e11,e12) = e11
| sP108_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1212]) ).
fof(f1215,plain,
( op1(e10,e10) = e12
| sP108_prd
| ~ sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1212]) ).
fof(f1217,plain,
( ~ sP108_prd
| sP106_prd ),
inference(cnf_transformation,[status(thm)],[f1212]) ).
fof(f1219,definition,
( sP109_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP109_prd])],[]) ).
fof(f1220,plain,
( sP107_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP109_prd ) ),
inference(formula_renaming,[status(thm)],[f1201,f1219]) ).
fof(f1221,plain,
( ( ( ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ~ sP109_prd )
| sP107_prd )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| sP109_prd
| ~ sP107_prd ) ),
inference(NNF_transformation,[status(thm)],[f1220]) ).
fof(f1222,plain,
( op2(e21,e22) = e21
| sP109_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1221]) ).
fof(f1224,plain,
( op2(e20,e20) = e22
| sP109_prd
| ~ sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1221]) ).
fof(f1226,plain,
( ~ sP109_prd
| sP107_prd ),
inference(cnf_transformation,[status(thm)],[f1221]) ).
fof(f1228,definition,
( sP110_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP110_prd])],[]) ).
fof(f1229,plain,
( sP108_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP110_prd ) ),
inference(formula_renaming,[status(thm)],[f1210,f1228]) ).
fof(f1230,plain,
( ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ~ sP110_prd )
| sP108_prd )
& ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP110_prd
| ~ sP108_prd ) ),
inference(NNF_transformation,[status(thm)],[f1229]) ).
fof(f1231,plain,
( op1(e11,e11) = e11
| sP110_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1232,plain,
( op1(e11,e11) != e11
| sP110_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1233,plain,
( op1(e13,e13) = e11
| sP110_prd
| ~ sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1235,plain,
( ~ sP110_prd
| sP108_prd ),
inference(cnf_transformation,[status(thm)],[f1230]) ).
fof(f1237,definition,
( sP111_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP111_prd])],[]) ).
fof(f1238,plain,
( sP109_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP111_prd ) ),
inference(formula_renaming,[status(thm)],[f1219,f1237]) ).
fof(f1239,plain,
( ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ~ sP111_prd )
| sP109_prd )
& ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP111_prd
| ~ sP109_prd ) ),
inference(NNF_transformation,[status(thm)],[f1238]) ).
fof(f1240,plain,
( op2(e21,e21) = e21
| sP111_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1241,plain,
( op2(e21,e21) != e21
| sP111_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1243,plain,
( op2(e23,e21) != e23
| sP111_prd
| ~ sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1244,plain,
( ~ sP111_prd
| sP109_prd ),
inference(cnf_transformation,[status(thm)],[f1239]) ).
fof(f1246,definition,
( sP112_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP112_prd])],[]) ).
fof(f1247,plain,
( sP110_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP112_prd ) ),
inference(formula_renaming,[status(thm)],[f1228,f1246]) ).
fof(f1248,plain,
( ( ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ~ sP112_prd )
| sP110_prd )
& ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP112_prd
| ~ sP110_prd ) ),
inference(NNF_transformation,[status(thm)],[f1247]) ).
fof(f1249,plain,
( op1(e11,e11) = e11
| sP112_prd
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1248]) ).
fof(f1250,plain,
( op1(e11,e11) != e11
| sP112_prd
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1248]) ).
fof(f1251,plain,
( op1(e12,e12) = e11
| sP112_prd
| ~ sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1248]) ).
fof(f1253,plain,
( ~ sP112_prd
| sP110_prd ),
inference(cnf_transformation,[status(thm)],[f1248]) ).
fof(f1255,definition,
( sP113_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP113_prd])],[]) ).
fof(f1256,plain,
( sP111_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP113_prd ) ),
inference(formula_renaming,[status(thm)],[f1237,f1255]) ).
fof(f1257,plain,
( ( ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ~ sP113_prd )
| sP111_prd )
& ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP113_prd
| ~ sP111_prd ) ),
inference(NNF_transformation,[status(thm)],[f1256]) ).
fof(f1258,plain,
( op2(e21,e21) = e21
| sP113_prd
| ~ sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1257]) ).
fof(f1259,plain,
( op2(e21,e21) != e21
| sP113_prd
| ~ sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1257]) ).
fof(f1260,plain,
( op2(e22,e22) = e21
| sP113_prd
| ~ sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1257]) ).
fof(f1262,plain,
( ~ sP113_prd
| sP111_prd ),
inference(cnf_transformation,[status(thm)],[f1257]) ).
fof(f1264,definition,
( sP114_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP114_prd])],[]) ).
fof(f1265,plain,
( sP112_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP114_prd ) ),
inference(formula_renaming,[status(thm)],[f1246,f1264]) ).
fof(f1266,plain,
( ( ( ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ~ sP114_prd )
| sP112_prd )
& ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP114_prd
| ~ sP112_prd ) ),
inference(NNF_transformation,[status(thm)],[f1265]) ).
fof(f1267,plain,
( op1(e11,e11) = e11
| sP114_prd
| ~ sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1268,plain,
( op1(e11,e11) != e11
| sP114_prd
| ~ sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1271,plain,
( ~ sP114_prd
| sP112_prd ),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f1273,definition,
( sP115_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP115_prd])],[]) ).
fof(f1274,plain,
( sP113_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP115_prd ) ),
inference(formula_renaming,[status(thm)],[f1255,f1273]) ).
fof(f1275,plain,
( ( ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ~ sP115_prd )
| sP113_prd )
& ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP115_prd
| ~ sP113_prd ) ),
inference(NNF_transformation,[status(thm)],[f1274]) ).
fof(f1276,plain,
( op2(e21,e21) = e21
| sP115_prd
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1275]) ).
fof(f1277,plain,
( op2(e21,e21) != e21
| sP115_prd
| ~ sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1275]) ).
fof(f1280,plain,
( ~ sP115_prd
| sP113_prd ),
inference(cnf_transformation,[status(thm)],[f1275]) ).
fof(f1282,definition,
( sP116_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP116_prd])],[]) ).
fof(f1283,plain,
( sP114_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP116_prd ) ),
inference(formula_renaming,[status(thm)],[f1264,f1282]) ).
fof(f1284,plain,
( ( ( ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ~ sP116_prd )
| sP114_prd )
& ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e11,e11) != e11
& op1(e11,e11) = e11 )
| sP116_prd
| ~ sP114_prd ) ),
inference(NNF_transformation,[status(thm)],[f1283]) ).
fof(f1285,plain,
( op1(e11,e11) = e11
| sP116_prd
| ~ sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1284]) ).
fof(f1286,plain,
( op1(e11,e11) != e11
| sP116_prd
| ~ sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1284]) ).
fof(f1289,plain,
( ~ sP116_prd
| sP114_prd ),
inference(cnf_transformation,[status(thm)],[f1284]) ).
fof(f1291,definition,
( sP117_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP117_prd])],[]) ).
fof(f1292,plain,
( sP115_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP117_prd ) ),
inference(formula_renaming,[status(thm)],[f1273,f1291]) ).
fof(f1293,plain,
( ( ( ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ~ sP117_prd )
| sP115_prd )
& ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| sP117_prd
| ~ sP115_prd ) ),
inference(NNF_transformation,[status(thm)],[f1292]) ).
fof(f1294,plain,
( op2(e21,e21) = e21
| sP117_prd
| ~ sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1293]) ).
fof(f1295,plain,
( op2(e21,e21) != e21
| sP117_prd
| ~ sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1293]) ).
fof(f1298,plain,
( ~ sP117_prd
| sP115_prd ),
inference(cnf_transformation,[status(thm)],[f1293]) ).
fof(f1300,definition,
( sP118_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP118_prd])],[]) ).
fof(f1301,plain,
( sP116_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP118_prd ) ),
inference(formula_renaming,[status(thm)],[f1282,f1300]) ).
fof(f1302,plain,
( ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ~ sP118_prd )
| sP116_prd )
& ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP118_prd
| ~ sP116_prd ) ),
inference(NNF_transformation,[status(thm)],[f1301]) ).
fof(f1303,plain,
( op1(e11,e10) = e11
| sP118_prd
| ~ sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1302]) ).
fof(f1307,plain,
( ~ sP118_prd
| sP116_prd ),
inference(cnf_transformation,[status(thm)],[f1302]) ).
fof(f1309,definition,
( sP119_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP119_prd])],[]) ).
fof(f1310,plain,
( sP117_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP119_prd ) ),
inference(formula_renaming,[status(thm)],[f1291,f1309]) ).
fof(f1311,plain,
( ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ~ sP119_prd )
| sP117_prd )
& ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP119_prd
| ~ sP117_prd ) ),
inference(NNF_transformation,[status(thm)],[f1310]) ).
fof(f1312,plain,
( op2(e21,e20) = e21
| sP119_prd
| ~ sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1311]) ).
fof(f1316,plain,
( ~ sP119_prd
| sP117_prd ),
inference(cnf_transformation,[status(thm)],[f1311]) ).
fof(f1318,definition,
( sP120_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP120_prd])],[]) ).
fof(f1319,plain,
( sP118_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP120_prd ) ),
inference(formula_renaming,[status(thm)],[f1300,f1318]) ).
fof(f1320,plain,
( ( ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ~ sP120_prd )
| sP118_prd )
& ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP120_prd
| ~ sP118_prd ) ),
inference(NNF_transformation,[status(thm)],[f1319]) ).
fof(f1321,plain,
( op1(e11,e10) = e11
| sP120_prd
| ~ sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1320]) ).
fof(f1325,plain,
( ~ sP120_prd
| sP118_prd ),
inference(cnf_transformation,[status(thm)],[f1320]) ).
fof(f1327,definition,
( sP121_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP121_prd])],[]) ).
fof(f1328,plain,
( sP119_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP121_prd ) ),
inference(formula_renaming,[status(thm)],[f1309,f1327]) ).
fof(f1329,plain,
( ( ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ~ sP121_prd )
| sP119_prd )
& ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP121_prd
| ~ sP119_prd ) ),
inference(NNF_transformation,[status(thm)],[f1328]) ).
fof(f1330,plain,
( op2(e21,e20) = e21
| sP121_prd
| ~ sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1329]) ).
fof(f1334,plain,
( ~ sP121_prd
| sP119_prd ),
inference(cnf_transformation,[status(thm)],[f1329]) ).
fof(f1336,definition,
( sP122_prd
<=> ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP122_prd])],[]) ).
fof(f1337,plain,
( sP120_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP122_prd ) ),
inference(formula_renaming,[status(thm)],[f1318,f1336]) ).
fof(f1338,plain,
( ( ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ~ sP122_prd )
| sP120_prd )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP122_prd
| ~ sP120_prd ) ),
inference(NNF_transformation,[status(thm)],[f1337]) ).
fof(f1339,plain,
( op1(e11,e10) = e11
| sP122_prd
| ~ sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1338]) ).
fof(f1343,plain,
( ~ sP122_prd
| sP120_prd ),
inference(cnf_transformation,[status(thm)],[f1338]) ).
fof(f1345,definition,
( sP123_prd
<=> ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP123_prd])],[]) ).
fof(f1346,plain,
( sP121_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP123_prd ) ),
inference(formula_renaming,[status(thm)],[f1327,f1345]) ).
fof(f1347,plain,
( ( ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ~ sP123_prd )
| sP121_prd )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP123_prd
| ~ sP121_prd ) ),
inference(NNF_transformation,[status(thm)],[f1346]) ).
fof(f1348,plain,
( op2(e21,e20) = e21
| sP123_prd
| ~ sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1347]) ).
fof(f1352,plain,
( ~ sP123_prd
| sP121_prd ),
inference(cnf_transformation,[status(thm)],[f1347]) ).
fof(f1354,definition,
( sP124_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP124_prd])],[]) ).
fof(f1355,plain,
( sP122_prd
<=> ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP124_prd ) ),
inference(formula_renaming,[status(thm)],[f1336,f1354]) ).
fof(f1356,plain,
( ( ( ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ~ sP124_prd )
| sP122_prd )
& ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e11,e11) != e10
& op1(e11,e10) = e11 )
| sP124_prd
| ~ sP122_prd ) ),
inference(NNF_transformation,[status(thm)],[f1355]) ).
fof(f1357,plain,
( op1(e11,e10) = e11
| sP124_prd
| ~ sP122_prd ),
inference(cnf_transformation,[status(thm)],[f1356]) ).
fof(f1361,plain,
( ~ sP124_prd
| sP122_prd ),
inference(cnf_transformation,[status(thm)],[f1356]) ).
fof(f1363,definition,
( sP125_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP125_prd])],[]) ).
fof(f1364,plain,
( sP123_prd
<=> ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP125_prd ) ),
inference(formula_renaming,[status(thm)],[f1345,f1363]) ).
fof(f1365,plain,
( ( ( ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ~ sP125_prd )
| sP123_prd )
& ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| sP125_prd
| ~ sP123_prd ) ),
inference(NNF_transformation,[status(thm)],[f1364]) ).
fof(f1366,plain,
( op2(e21,e20) = e21
| sP125_prd
| ~ sP123_prd ),
inference(cnf_transformation,[status(thm)],[f1365]) ).
fof(f1370,plain,
( ~ sP125_prd
| sP123_prd ),
inference(cnf_transformation,[status(thm)],[f1365]) ).
fof(f1372,definition,
( sP126_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP126_prd])],[]) ).
fof(f1373,plain,
( sP124_prd
<=> ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP126_prd ) ),
inference(formula_renaming,[status(thm)],[f1354,f1372]) ).
fof(f1374,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ~ sP126_prd )
| sP124_prd )
& ( ( op1(e13,e13) != e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP126_prd
| ~ sP124_prd ) ),
inference(NNF_transformation,[status(thm)],[f1373]) ).
fof(f1375,plain,
( op1(e10,e13) = e10
| sP126_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1374]) ).
fof(f1378,plain,
( op1(e13,e13) != e13
| sP126_prd
| ~ sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1374]) ).
fof(f1379,plain,
( ~ sP126_prd
| sP124_prd ),
inference(cnf_transformation,[status(thm)],[f1374]) ).
fof(f1381,definition,
( sP127_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP127_prd])],[]) ).
fof(f1382,plain,
( sP125_prd
<=> ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP127_prd ) ),
inference(formula_renaming,[status(thm)],[f1363,f1381]) ).
fof(f1383,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ~ sP127_prd )
| sP125_prd )
& ( ( op2(e23,e23) != e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP127_prd
| ~ sP125_prd ) ),
inference(NNF_transformation,[status(thm)],[f1382]) ).
fof(f1384,plain,
( op2(e20,e23) = e20
| sP127_prd
| ~ sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1383]) ).
fof(f1386,plain,
( op2(e23,e23) = e23
| sP127_prd
| ~ sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1383]) ).
fof(f1387,plain,
( op2(e23,e23) != e23
| sP127_prd
| ~ sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1383]) ).
fof(f1388,plain,
( ~ sP127_prd
| sP125_prd ),
inference(cnf_transformation,[status(thm)],[f1383]) ).
fof(f1390,definition,
( sP128_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP128_prd])],[]) ).
fof(f1391,plain,
( sP126_prd
<=> ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP128_prd ) ),
inference(formula_renaming,[status(thm)],[f1372,f1390]) ).
fof(f1392,plain,
( ( ( ( op1(e12,e13) = e12
| op1(e12,e12) != e13
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ~ sP128_prd )
| sP126_prd )
& ( ( op1(e12,e13) != e12
& op1(e12,e12) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP128_prd
| ~ sP126_prd ) ),
inference(NNF_transformation,[status(thm)],[f1391]) ).
fof(f1393,plain,
( op1(e10,e13) = e10
| sP128_prd
| ~ sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1392]) ).
fof(f1395,plain,
( op1(e12,e12) = e13
| sP128_prd
| ~ sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1392]) ).
fof(f1397,plain,
( ~ sP128_prd
| sP126_prd ),
inference(cnf_transformation,[status(thm)],[f1392]) ).
fof(f1399,definition,
( sP129_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP129_prd])],[]) ).
fof(f1400,plain,
( sP127_prd
<=> ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP129_prd ) ),
inference(formula_renaming,[status(thm)],[f1381,f1399]) ).
fof(f1401,plain,
( ( ( ( op2(e22,e23) = e22
| op2(e22,e22) != e23
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ~ sP129_prd )
| sP127_prd )
& ( ( op2(e22,e23) != e22
& op2(e22,e22) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP129_prd
| ~ sP127_prd ) ),
inference(NNF_transformation,[status(thm)],[f1400]) ).
fof(f1402,plain,
( op2(e20,e23) = e20
| sP129_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1401]) ).
fof(f1405,plain,
( op2(e22,e23) != e22
| sP129_prd
| ~ sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1401]) ).
fof(f1406,plain,
( ~ sP129_prd
| sP127_prd ),
inference(cnf_transformation,[status(thm)],[f1401]) ).
fof(f1408,definition,
( sP130_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP130_prd])],[]) ).
fof(f1409,plain,
( sP128_prd
<=> ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP130_prd ) ),
inference(formula_renaming,[status(thm)],[f1390,f1408]) ).
fof(f1410,plain,
( ( ( ( op1(e11,e13) = e11
| op1(e11,e11) != e13
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ~ sP130_prd )
| sP128_prd )
& ( ( op1(e11,e13) != e11
& op1(e11,e11) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP130_prd
| ~ sP128_prd ) ),
inference(NNF_transformation,[status(thm)],[f1409]) ).
fof(f1411,plain,
( op1(e10,e13) = e10
| sP130_prd
| ~ sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1410]) ).
fof(f1413,plain,
( op1(e11,e11) = e13
| sP130_prd
| ~ sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1410]) ).
fof(f1414,plain,
( op1(e11,e13) != e11
| sP130_prd
| ~ sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1410]) ).
fof(f1415,plain,
( ~ sP130_prd
| sP128_prd ),
inference(cnf_transformation,[status(thm)],[f1410]) ).
fof(f1417,definition,
( sP131_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP131_prd])],[]) ).
fof(f1418,plain,
( sP129_prd
<=> ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP131_prd ) ),
inference(formula_renaming,[status(thm)],[f1399,f1417]) ).
fof(f1419,plain,
( ( ( ( op2(e21,e23) = e21
| op2(e21,e21) != e23
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ~ sP131_prd )
| sP129_prd )
& ( ( op2(e21,e23) != e21
& op2(e21,e21) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP131_prd
| ~ sP129_prd ) ),
inference(NNF_transformation,[status(thm)],[f1418]) ).
fof(f1420,plain,
( op2(e20,e23) = e20
| sP131_prd
| ~ sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1419]) ).
fof(f1422,plain,
( op2(e21,e21) = e23
| sP131_prd
| ~ sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1419]) ).
fof(f1423,plain,
( op2(e21,e23) != e21
| sP131_prd
| ~ sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1419]) ).
fof(f1424,plain,
( ~ sP131_prd
| sP129_prd ),
inference(cnf_transformation,[status(thm)],[f1419]) ).
fof(f1426,definition,
( sP132_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP132_prd])],[]) ).
fof(f1427,plain,
( sP130_prd
<=> ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP132_prd ) ),
inference(formula_renaming,[status(thm)],[f1408,f1426]) ).
fof(f1428,plain,
( ( ( ( op1(e10,e13) = e10
| op1(e10,e10) != e13
| op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ~ sP132_prd )
| sP130_prd )
& ( ( op1(e10,e13) != e10
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| sP132_prd
| ~ sP130_prd ) ),
inference(NNF_transformation,[status(thm)],[f1427]) ).
fof(f1429,plain,
( op1(e10,e13) = e10
| sP132_prd
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1428]) ).
fof(f1432,plain,
( op1(e10,e13) != e10
| sP132_prd
| ~ sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1428]) ).
fof(f1433,plain,
( ~ sP132_prd
| sP130_prd ),
inference(cnf_transformation,[status(thm)],[f1428]) ).
fof(f1435,definition,
( sP133_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP133_prd])],[]) ).
fof(f1436,plain,
( sP131_prd
<=> ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP133_prd ) ),
inference(formula_renaming,[status(thm)],[f1417,f1435]) ).
fof(f1437,plain,
( ( ( ( op2(e20,e23) = e20
| op2(e20,e20) != e23
| op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ~ sP133_prd )
| sP131_prd )
& ( ( op2(e20,e23) != e20
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| sP133_prd
| ~ sP131_prd ) ),
inference(NNF_transformation,[status(thm)],[f1436]) ).
fof(f1438,plain,
( op2(e20,e23) = e20
| sP133_prd
| ~ sP131_prd ),
inference(cnf_transformation,[status(thm)],[f1437]) ).
fof(f1441,plain,
( op2(e20,e23) != e20
| sP133_prd
| ~ sP131_prd ),
inference(cnf_transformation,[status(thm)],[f1437]) ).
fof(f1442,plain,
( ~ sP133_prd
| sP131_prd ),
inference(cnf_transformation,[status(thm)],[f1437]) ).
fof(f1444,definition,
( sP134_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP134_prd])],[]) ).
fof(f1445,plain,
( sP132_prd
<=> ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP134_prd ) ),
inference(formula_renaming,[status(thm)],[f1426,f1444]) ).
fof(f1446,plain,
( ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ~ sP134_prd )
| sP132_prd )
& ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP134_prd
| ~ sP132_prd ) ),
inference(NNF_transformation,[status(thm)],[f1445]) ).
fof(f1447,plain,
( op1(e10,e12) = e10
| sP134_prd
| ~ sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f1449,plain,
( op1(e13,e13) = e12
| sP134_prd
| ~ sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f1450,plain,
( op1(e13,e12) != e13
| sP134_prd
| ~ sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f1451,plain,
( ~ sP134_prd
| sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f1452,plain,
( op1(e13,e12) = e13
| op1(e13,e13) != e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10
| sP132_prd ),
inference(cnf_transformation,[status(thm)],[f1446]) ).
fof(f1453,definition,
( sP135_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP135_prd])],[]) ).
fof(f1454,plain,
( sP133_prd
<=> ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP135_prd ) ),
inference(formula_renaming,[status(thm)],[f1435,f1453]) ).
fof(f1455,plain,
( ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ~ sP135_prd )
| sP133_prd )
& ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP135_prd
| ~ sP133_prd ) ),
inference(NNF_transformation,[status(thm)],[f1454]) ).
fof(f1456,plain,
( op2(e20,e22) = e20
| sP135_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1455]) ).
fof(f1458,plain,
( op2(e23,e23) = e22
| sP135_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1455]) ).
fof(f1459,plain,
( op2(e23,e22) != e23
| sP135_prd
| ~ sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1455]) ).
fof(f1460,plain,
( ~ sP135_prd
| sP133_prd ),
inference(cnf_transformation,[status(thm)],[f1455]) ).
fof(f1462,definition,
( sP136_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP136_prd])],[]) ).
fof(f1463,plain,
( sP134_prd
<=> ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP136_prd ) ),
inference(formula_renaming,[status(thm)],[f1444,f1462]) ).
fof(f1464,plain,
( ( ( ( op1(e12,e12) = e12
| op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ~ sP136_prd )
| sP134_prd )
& ( ( op1(e12,e12) != e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP136_prd
| ~ sP134_prd ) ),
inference(NNF_transformation,[status(thm)],[f1463]) ).
fof(f1465,plain,
( op1(e10,e12) = e10
| sP136_prd
| ~ sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1464]) ).
fof(f1467,plain,
( op1(e12,e12) = e12
| sP136_prd
| ~ sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1464]) ).
fof(f1468,plain,
( op1(e12,e12) != e12
| sP136_prd
| ~ sP134_prd ),
inference(cnf_transformation,[status(thm)],[f1464]) ).
fof(f1471,definition,
( sP137_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP137_prd])],[]) ).
fof(f1472,plain,
( sP135_prd
<=> ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP137_prd ) ),
inference(formula_renaming,[status(thm)],[f1453,f1471]) ).
fof(f1473,plain,
( ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ~ sP137_prd )
| sP135_prd )
& ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP137_prd
| ~ sP135_prd ) ),
inference(NNF_transformation,[status(thm)],[f1472]) ).
fof(f1474,plain,
( op2(e20,e22) = e20
| sP137_prd
| ~ sP135_prd ),
inference(cnf_transformation,[status(thm)],[f1473]) ).
fof(f1477,plain,
( op2(e22,e22) != e22
| sP137_prd
| ~ sP135_prd ),
inference(cnf_transformation,[status(thm)],[f1473]) ).
fof(f1478,plain,
( ~ sP137_prd
| sP135_prd ),
inference(cnf_transformation,[status(thm)],[f1473]) ).
fof(f1480,definition,
( sP138_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP138_prd])],[]) ).
fof(f1481,plain,
( sP136_prd
<=> ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP138_prd ) ),
inference(formula_renaming,[status(thm)],[f1462,f1480]) ).
fof(f1482,plain,
( ( ( ( op1(e11,e12) = e11
| op1(e11,e11) != e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ~ sP138_prd )
| sP136_prd )
& ( ( op1(e11,e12) != e11
& op1(e11,e11) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP138_prd
| ~ sP136_prd ) ),
inference(NNF_transformation,[status(thm)],[f1481]) ).
fof(f1485,plain,
( op1(e11,e11) = e12
| sP138_prd
| ~ sP136_prd ),
inference(cnf_transformation,[status(thm)],[f1482]) ).
fof(f1489,definition,
( sP139_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP139_prd])],[]) ).
fof(f1490,plain,
( sP137_prd
<=> ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP139_prd ) ),
inference(formula_renaming,[status(thm)],[f1471,f1489]) ).
fof(f1491,plain,
( ( ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ~ sP139_prd )
| sP137_prd )
& ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP139_prd
| ~ sP137_prd ) ),
inference(NNF_transformation,[status(thm)],[f1490]) ).
fof(f1492,plain,
( op2(e20,e22) = e20
| sP139_prd
| ~ sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1491]) ).
fof(f1494,plain,
( op2(e21,e21) = e22
| sP139_prd
| ~ sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1491]) ).
fof(f1495,plain,
( op2(e21,e22) != e21
| sP139_prd
| ~ sP137_prd ),
inference(cnf_transformation,[status(thm)],[f1491]) ).
fof(f1498,definition,
( sP140_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP140_prd])],[]) ).
fof(f1499,plain,
( sP138_prd
<=> ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP140_prd ) ),
inference(formula_renaming,[status(thm)],[f1480,f1498]) ).
fof(f1500,plain,
( ( ( ( op1(e10,e12) = e10
| op1(e10,e10) != e12
| op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ~ sP140_prd )
| sP138_prd )
& ( ( op1(e10,e12) != e10
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| sP140_prd
| ~ sP138_prd ) ),
inference(NNF_transformation,[status(thm)],[f1499]) ).
fof(f1503,plain,
( op1(e10,e10) = e12
| sP140_prd
| ~ sP138_prd ),
inference(cnf_transformation,[status(thm)],[f1500]) ).
fof(f1507,definition,
( sP141_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP141_prd])],[]) ).
fof(f1508,plain,
( sP139_prd
<=> ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP141_prd ) ),
inference(formula_renaming,[status(thm)],[f1489,f1507]) ).
fof(f1509,plain,
( ( ( ( op2(e20,e22) = e20
| op2(e20,e20) != e22
| op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ~ sP141_prd )
| sP139_prd )
& ( ( op2(e20,e22) != e20
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| sP141_prd
| ~ sP139_prd ) ),
inference(NNF_transformation,[status(thm)],[f1508]) ).
fof(f1512,plain,
( op2(e20,e20) = e22
| sP141_prd
| ~ sP139_prd ),
inference(cnf_transformation,[status(thm)],[f1509]) ).
fof(f1516,definition,
( sP142_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP142_prd])],[]) ).
fof(f1517,plain,
( sP140_prd
<=> ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP142_prd ) ),
inference(formula_renaming,[status(thm)],[f1498,f1516]) ).
fof(f1518,plain,
( ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ~ sP142_prd )
| sP140_prd )
& ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP142_prd
| ~ sP140_prd ) ),
inference(NNF_transformation,[status(thm)],[f1517]) ).
fof(f1519,plain,
( op1(e10,e11) = e10
| sP142_prd
| ~ sP140_prd ),
inference(cnf_transformation,[status(thm)],[f1518]) ).
fof(f1525,definition,
( sP143_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP143_prd])],[]) ).
fof(f1526,plain,
( sP141_prd
<=> ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP143_prd ) ),
inference(formula_renaming,[status(thm)],[f1507,f1525]) ).
fof(f1527,plain,
( ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ~ sP143_prd )
| sP141_prd )
& ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP143_prd
| ~ sP141_prd ) ),
inference(NNF_transformation,[status(thm)],[f1526]) ).
fof(f1528,plain,
( op2(e20,e21) = e20
| sP143_prd
| ~ sP141_prd ),
inference(cnf_transformation,[status(thm)],[f1527]) ).
fof(f1534,definition,
( sP144_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP144_prd])],[]) ).
fof(f1535,plain,
( sP142_prd
<=> ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP144_prd ) ),
inference(formula_renaming,[status(thm)],[f1516,f1534]) ).
fof(f1536,plain,
( ( ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ~ sP144_prd )
| sP142_prd )
& ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP144_prd
| ~ sP142_prd ) ),
inference(NNF_transformation,[status(thm)],[f1535]) ).
fof(f1537,plain,
( op1(e10,e11) = e10
| sP144_prd
| ~ sP142_prd ),
inference(cnf_transformation,[status(thm)],[f1536]) ).
fof(f1543,definition,
( sP145_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP145_prd])],[]) ).
fof(f1544,plain,
( sP143_prd
<=> ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP145_prd ) ),
inference(formula_renaming,[status(thm)],[f1525,f1543]) ).
fof(f1545,plain,
( ( ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ~ sP145_prd )
| sP143_prd )
& ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP145_prd
| ~ sP143_prd ) ),
inference(NNF_transformation,[status(thm)],[f1544]) ).
fof(f1546,plain,
( op2(e20,e21) = e20
| sP145_prd
| ~ sP143_prd ),
inference(cnf_transformation,[status(thm)],[f1545]) ).
fof(f1552,definition,
( sP146_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP146_prd])],[]) ).
fof(f1553,plain,
( sP144_prd
<=> ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP146_prd ) ),
inference(formula_renaming,[status(thm)],[f1534,f1552]) ).
fof(f1554,plain,
( ( ( ( op1(e11,e11) = e11
| op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ~ sP146_prd )
| sP144_prd )
& ( ( op1(e11,e11) != e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP146_prd
| ~ sP144_prd ) ),
inference(NNF_transformation,[status(thm)],[f1553]) ).
fof(f1555,plain,
( op1(e10,e11) = e10
| sP146_prd
| ~ sP144_prd ),
inference(cnf_transformation,[status(thm)],[f1554]) ).
fof(f1561,definition,
( sP147_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP147_prd])],[]) ).
fof(f1562,plain,
( sP145_prd
<=> ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP147_prd ) ),
inference(formula_renaming,[status(thm)],[f1543,f1561]) ).
fof(f1563,plain,
( ( ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ~ sP147_prd )
| sP145_prd )
& ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP147_prd
| ~ sP145_prd ) ),
inference(NNF_transformation,[status(thm)],[f1562]) ).
fof(f1564,plain,
( op2(e20,e21) = e20
| sP147_prd
| ~ sP145_prd ),
inference(cnf_transformation,[status(thm)],[f1563]) ).
fof(f1570,definition,
( sP148_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP148_prd])],[]) ).
fof(f1571,plain,
( sP146_prd
<=> ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP148_prd ) ),
inference(formula_renaming,[status(thm)],[f1552,f1570]) ).
fof(f1572,plain,
( ( ( ( op1(e10,e11) = e10
| op1(e10,e10) != e11
| op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ~ sP148_prd )
| sP146_prd )
& ( ( op1(e10,e11) != e10
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& op1(e10,e11) = e10 )
| sP148_prd
| ~ sP146_prd ) ),
inference(NNF_transformation,[status(thm)],[f1571]) ).
fof(f1573,plain,
( op1(e10,e11) = e10
| sP148_prd
| ~ sP146_prd ),
inference(cnf_transformation,[status(thm)],[f1572]) ).
fof(f1579,definition,
( sP149_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP149_prd])],[]) ).
fof(f1580,plain,
( sP147_prd
<=> ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP149_prd ) ),
inference(formula_renaming,[status(thm)],[f1561,f1579]) ).
fof(f1581,plain,
( ( ( ( op2(e20,e21) = e20
| op2(e20,e20) != e21
| op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ~ sP149_prd )
| sP147_prd )
& ( ( op2(e20,e21) != e20
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| sP149_prd
| ~ sP147_prd ) ),
inference(NNF_transformation,[status(thm)],[f1580]) ).
fof(f1582,plain,
( op2(e20,e21) = e20
| sP149_prd
| ~ sP147_prd ),
inference(cnf_transformation,[status(thm)],[f1581]) ).
fof(f1588,definition,
( sP150_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP150_prd])],[]) ).
fof(f1589,plain,
( sP148_prd
<=> ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP150_prd ) ),
inference(formula_renaming,[status(thm)],[f1570,f1588]) ).
fof(f1590,plain,
( ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ~ sP150_prd )
| sP148_prd )
& ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP150_prd
| ~ sP148_prd ) ),
inference(NNF_transformation,[status(thm)],[f1589]) ).
fof(f1591,plain,
( op1(e10,e10) = e10
| sP150_prd
| ~ sP148_prd ),
inference(cnf_transformation,[status(thm)],[f1590]) ).
fof(f1597,definition,
( sP151_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP151_prd])],[]) ).
fof(f1598,plain,
( sP149_prd
<=> ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP151_prd ) ),
inference(formula_renaming,[status(thm)],[f1579,f1597]) ).
fof(f1599,plain,
( ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ~ sP151_prd )
| sP149_prd )
& ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP151_prd
| ~ sP149_prd ) ),
inference(NNF_transformation,[status(thm)],[f1598]) ).
fof(f1600,plain,
( op2(e20,e20) = e20
| sP151_prd
| ~ sP149_prd ),
inference(cnf_transformation,[status(thm)],[f1599]) ).
fof(f1606,definition,
( sP152_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP152_prd])],[]) ).
fof(f1607,plain,
( sP150_prd
<=> ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP152_prd ) ),
inference(formula_renaming,[status(thm)],[f1588,f1606]) ).
fof(f1608,plain,
( ( ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ~ sP152_prd )
| sP150_prd )
& ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP152_prd
| ~ sP150_prd ) ),
inference(NNF_transformation,[status(thm)],[f1607]) ).
fof(f1609,plain,
( op1(e10,e10) = e10
| sP152_prd
| ~ sP150_prd ),
inference(cnf_transformation,[status(thm)],[f1608]) ).
fof(f1615,definition,
( sP153_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP153_prd])],[]) ).
fof(f1616,plain,
( sP151_prd
<=> ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP153_prd ) ),
inference(formula_renaming,[status(thm)],[f1597,f1615]) ).
fof(f1617,plain,
( ( ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ~ sP153_prd )
| sP151_prd )
& ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP153_prd
| ~ sP151_prd ) ),
inference(NNF_transformation,[status(thm)],[f1616]) ).
fof(f1618,plain,
( op2(e20,e20) = e20
| sP153_prd
| ~ sP151_prd ),
inference(cnf_transformation,[status(thm)],[f1617]) ).
fof(f1624,definition,
( sP154_prd
<=> ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 ) ),
introduced(definition,[new_symbols(definition,[sP154_prd])],[]) ).
fof(f1625,plain,
( sP152_prd
<=> ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP154_prd ) ),
inference(formula_renaming,[status(thm)],[f1606,f1624]) ).
fof(f1626,plain,
( ( ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10 )
& ~ sP154_prd )
| sP152_prd )
& ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| sP154_prd
| ~ sP152_prd ) ),
inference(NNF_transformation,[status(thm)],[f1625]) ).
fof(f1627,plain,
( op1(e10,e10) = e10
| sP154_prd
| ~ sP152_prd ),
inference(cnf_transformation,[status(thm)],[f1626]) ).
fof(f1633,definition,
( sP155_prd
<=> ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 ) ),
introduced(definition,[new_symbols(definition,[sP155_prd])],[]) ).
fof(f1634,plain,
( sP153_prd
<=> ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP155_prd ) ),
inference(formula_renaming,[status(thm)],[f1615,f1633]) ).
fof(f1635,plain,
( ( ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20 )
& ~ sP155_prd )
| sP153_prd )
& ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP155_prd
| ~ sP153_prd ) ),
inference(NNF_transformation,[status(thm)],[f1634]) ).
fof(f1636,plain,
( op2(e20,e20) = e20
| sP155_prd
| ~ sP153_prd ),
inference(cnf_transformation,[status(thm)],[f1635]) ).
fof(f1642,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e10,e10) != e10
| sP154_prd )
& ( ( op1(e10,e10) != e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e10) = e10 )
| ~ sP154_prd ) ),
inference(NNF_transformation,[status(thm)],[f1624]) ).
fof(f1643,plain,
( op1(e10,e10) = e10
| ~ sP154_prd ),
inference(cnf_transformation,[status(thm)],[f1642]) ).
fof(f1648,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e20,e20) != e20
| sP155_prd )
& ( ( op2(e20,e20) != e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| ~ sP155_prd ) ),
inference(NNF_transformation,[status(thm)],[f1633]) ).
fof(f1649,plain,
( op2(e20,e20) = e20
| ~ sP155_prd ),
inference(cnf_transformation,[status(thm)],[f1648]) ).
fof(f1654,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1657,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1658,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1659,plain,
( sQ1_spl
| op1(e10,e10) != e11 ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1660,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1661,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1660]) ).
fof(f1667,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1668,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f1667]) ).
fof(f1670,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1671,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,definition,
( sQ6_spl
<=> op1(e10,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1674,plain,
( ~ sQ6_spl
| op1(e10,e11) = e12 ),
inference(component_clause,[status(thm)],[f1673]) ).
fof(f1676,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1677,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f1676]) ).
fof(f1680,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1681,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1680]) ).
fof(f1683,definition,
( sQ9_spl
<=> op1(e10,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1684,plain,
( ~ sQ9_spl
| op1(e10,e12) = e11 ),
inference(component_clause,[status(thm)],[f1683]) ).
fof(f1686,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1687,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1686]) ).
fof(f1689,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1690,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1689]) ).
fof(f1692,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f22,f1680,f1683,f1686,f1689]) ).
fof(f1693,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,definition,
( sQ13_spl
<=> op1(e10,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( ~ sQ13_spl
| op1(e10,e13) = e11 ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,definition,
( sQ14_spl
<=> op1(e10,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1700,plain,
( ~ sQ14_spl
| op1(e10,e13) = e12 ),
inference(component_clause,[status(thm)],[f1699]) ).
fof(f1702,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1703,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f1705,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f23,f1693,f1696,f1699,f1702]) ).
fof(f1706,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f1706]) ).
fof(f1709,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1710,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1709]) ).
fof(f1712,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1713,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f1712]) ).
fof(f1715,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f1715]) ).
fof(f1718,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f24,f1706,f1709,f1712,f1715]) ).
fof(f1719,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1720,plain,
( ~ sQ20_spl
| op1(e11,e11) = e10 ),
inference(component_clause,[status(thm)],[f1719]) ).
fof(f1722,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1723,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1725,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1726,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f1725]) ).
fof(f1728,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1729,plain,
( ~ sQ23_spl
| op1(e11,e11) = e13 ),
inference(component_clause,[status(thm)],[f1728]) ).
fof(f1731,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f1719,f1722,f1725,f1728]) ).
fof(f1732,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1733,plain,
( ~ sQ24_spl
| op1(e11,e12) = e10 ),
inference(component_clause,[status(thm)],[f1732]) ).
fof(f1735,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1736,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f1735]) ).
fof(f1738,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1739,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1741,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1742,plain,
( ~ sQ27_spl
| op1(e11,e12) = e13 ),
inference(component_clause,[status(thm)],[f1741]) ).
fof(f1744,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f1732,f1735,f1738,f1741]) ).
fof(f1745,definition,
( sQ28_spl
<=> op1(e11,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1746,plain,
( ~ sQ28_spl
| op1(e11,e13) = e10 ),
inference(component_clause,[status(thm)],[f1745]) ).
fof(f1748,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1749,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1748]) ).
fof(f1751,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1751]) ).
fof(f1754,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1755,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1754]) ).
fof(f1757,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f27,f1745,f1748,f1751,f1754]) ).
fof(f1758,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1759,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1758]) ).
fof(f1761,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1762,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f1761]) ).
fof(f1764,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1765,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f1764]) ).
fof(f1767,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1770,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f28,f1758,f1761,f1764,f1767]) ).
fof(f1771,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1772,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1771]) ).
fof(f1774,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1775,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1774]) ).
fof(f1777,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1777]) ).
fof(f1780,definition,
( sQ39_spl
<=> op1(e12,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1781,plain,
( ~ sQ39_spl
| op1(e12,e11) = e13 ),
inference(component_clause,[status(thm)],[f1780]) ).
fof(f1784,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1785,plain,
( ~ sQ40_spl
| op1(e12,e12) = e10 ),
inference(component_clause,[status(thm)],[f1784]) ).
fof(f1787,definition,
( sQ41_spl
<=> op1(e12,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1788,plain,
( ~ sQ41_spl
| op1(e12,e12) = e11 ),
inference(component_clause,[status(thm)],[f1787]) ).
fof(f1790,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1791,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1790]) ).
fof(f1793,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1794,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f1793]) ).
fof(f1797,definition,
( sQ44_spl
<=> op1(e12,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1798,plain,
( ~ sQ44_spl
| op1(e12,e13) = e10 ),
inference(component_clause,[status(thm)],[f1797]) ).
fof(f1800,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1800]) ).
fof(f1803,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1804,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1803]) ).
fof(f1806,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1807,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f1806]) ).
fof(f1810,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1811,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1810]) ).
fof(f1813,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1814,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1813]) ).
fof(f1816,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1817,plain,
( ~ sQ50_spl
| op1(e13,e10) = e12 ),
inference(component_clause,[status(thm)],[f1816]) ).
fof(f1819,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1819]) ).
fof(f1822,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f1810,f1813,f1816,f1819]) ).
fof(f1823,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1824,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1826,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1827,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1826]) ).
fof(f1829,definition,
( sQ54_spl
<=> op1(e13,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1830,plain,
( ~ sQ54_spl
| op1(e13,e11) = e12 ),
inference(component_clause,[status(thm)],[f1829]) ).
fof(f1832,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1832]) ).
fof(f1835,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f33,f1823,f1826,f1829,f1832]) ).
fof(f1836,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1837,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f1836]) ).
fof(f1839,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1840,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1839]) ).
fof(f1842,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1843,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1842]) ).
fof(f1845,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f1845]) ).
fof(f1848,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f1836,f1839,f1842,f1845]) ).
fof(f1849,definition,
( sQ60_spl
<=> op1(e13,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1850,plain,
( ~ sQ60_spl
| op1(e13,e13) = e10 ),
inference(component_clause,[status(thm)],[f1849]) ).
fof(f1852,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1853,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f1852]) ).
fof(f1855,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1856,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f1855]) ).
fof(f1858,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1859,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f1858]) ).
fof(f1861,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f35,f1849,f1852,f1855,f1858]) ).
fof(f1863,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f1654,f1706,f1758,f1810]) ).
fof(f1866,plain,
( sQ14_spl
| sQ10_spl
| sQ6_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f40,f1660,f1673,f1686,f1699]) ).
fof(f1867,plain,
( sQ50_spl
| sQ34_spl
| sQ18_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f1660,f1712,f1764,f1816]) ).
fof(f1871,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f1667,f1719,f1771,f1823]) ).
fof(f1872,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f1709,f1722,f1735,f1748]) ).
fof(f1873,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f1670,f1722,f1774,f1826]) ).
fof(f1874,plain,
( sQ30_spl
| sQ26_spl
| sQ22_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f48,f1712,f1725,f1738,f1751]) ).
fof(f1876,plain,
( sQ31_spl
| sQ27_spl
| sQ23_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f50,f1715,f1728,f1741,f1754]) ).
fof(f1877,plain,
( sQ55_spl
| sQ39_spl
| sQ23_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f51,f1676,f1728,f1780,f1832]) ).
fof(f1878,plain,
( sQ44_spl
| sQ40_spl
| sQ36_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f52,f1758,f1771,f1784,f1797]) ).
fof(f1879,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f1680,f1732,f1784,f1836]) ).
fof(f1880,plain,
( sQ45_spl
| sQ41_spl
| sQ37_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f54,f1761,f1774,f1787,f1800]) ).
fof(f1881,plain,
( sQ57_spl
| sQ41_spl
| sQ25_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f1683,f1735,f1787,f1839]) ).
fof(f1882,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f1764,f1777,f1790,f1803]) ).
fof(f1883,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f1686,f1738,f1790,f1842]) ).
fof(f1885,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f1689,f1741,f1793,f1845]) ).
fof(f1887,plain,
( sQ60_spl
| sQ44_spl
| sQ28_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f61,f1693,f1745,f1797,f1849]) ).
fof(f1888,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f1813,f1826,f1839,f1852]) ).
fof(f1889,plain,
( sQ61_spl
| sQ45_spl
| sQ29_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f63,f1696,f1748,f1800,f1852]) ).
fof(f1890,plain,
( sQ62_spl
| sQ58_spl
| sQ54_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f64,f1816,f1829,f1842,f1855]) ).
fof(f1891,plain,
( sQ62_spl
| sQ46_spl
| sQ30_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f65,f1699,f1751,f1803,f1855]) ).
fof(f1893,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f1702,f1754,f1806,f1858]) ).
fof(f1894,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1895,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1894]) ).
fof(f1897,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1898,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1899,plain,
( sQ65_spl
| op2(e20,e20) != e21 ),
inference(component_clause,[status(thm)],[f1897]) ).
fof(f1900,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1901,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f1900]) ).
fof(f1907,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1908,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1910,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1913,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1914,plain,
( ~ sQ70_spl
| op2(e20,e21) = e22 ),
inference(component_clause,[status(thm)],[f1913]) ).
fof(f1916,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1920,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1921,plain,
( ~ sQ72_spl
| op2(e20,e22) = e20 ),
inference(component_clause,[status(thm)],[f1920]) ).
fof(f1923,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1924,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1923]) ).
fof(f1926,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1927,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1926]) ).
fof(f1929,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1930,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1929]) ).
fof(f1932,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f1920,f1923,f1926,f1929]) ).
fof(f1933,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1936,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1937,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1936]) ).
fof(f1939,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1940,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1939]) ).
fof(f1942,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1943,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1942]) ).
fof(f1945,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f1933,f1936,f1939,f1942]) ).
fof(f1946,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1947,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1946]) ).
fof(f1949,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1950,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1949]) ).
fof(f1952,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1953,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1952]) ).
fof(f1955,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1956,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1955]) ).
fof(f1958,plain,
( sQ83_spl
| sQ82_spl
| sQ81_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f72,f1946,f1949,f1952,f1955]) ).
fof(f1959,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1960,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1959]) ).
fof(f1962,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1963,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1962]) ).
fof(f1965,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1968,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1969,plain,
( ~ sQ87_spl
| op2(e21,e21) = e23 ),
inference(component_clause,[status(thm)],[f1968]) ).
fof(f1971,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1959,f1962,f1965,f1968]) ).
fof(f1972,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1973,plain,
( ~ sQ88_spl
| op2(e21,e22) = e20 ),
inference(component_clause,[status(thm)],[f1972]) ).
fof(f1975,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1978,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1979,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1978]) ).
fof(f1981,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1982,plain,
( ~ sQ91_spl
| op2(e21,e22) = e23 ),
inference(component_clause,[status(thm)],[f1981]) ).
fof(f1985,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1986,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1985]) ).
fof(f1988,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f1991,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1992,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1991]) ).
fof(f1994,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1995,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1994]) ).
fof(f1998,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1999,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1998]) ).
fof(f2001,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f2002,plain,
( ~ sQ97_spl
| op2(e22,e20) = e21 ),
inference(component_clause,[status(thm)],[f2001]) ).
fof(f2004,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2005,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f2004]) ).
fof(f2007,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f2010,plain,
( sQ99_spl
| sQ98_spl
| sQ97_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f76,f1998,f2001,f2004,f2007]) ).
fof(f2011,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f2012,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f2011]) ).
fof(f2014,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f2015,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f2014]) ).
fof(f2017,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f2018,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f2017]) ).
fof(f2020,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f2021,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f2020]) ).
fof(f2023,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f2011,f2014,f2017,f2020]) ).
fof(f2024,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f2025,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f2024]) ).
fof(f2027,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f2028,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f2027]) ).
fof(f2030,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f2030]) ).
fof(f2037,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f2038,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f2037]) ).
fof(f2040,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f2041,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f2040]) ).
fof(f2043,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f2044,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f2043]) ).
fof(f2046,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f2047,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f2046]) ).
fof(f2050,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f2051,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f2050]) ).
fof(f2053,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f2054,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f2053]) ).
fof(f2056,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f2056]) ).
fof(f2059,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f2060,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f2059]) ).
fof(f2063,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2064,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f2063]) ).
fof(f2066,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2067,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f2066]) ).
fof(f2069,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f2070,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f2069]) ).
fof(f2072,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2073,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f2072]) ).
fof(f2076,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2077,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f2076]) ).
fof(f2079,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2080,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f2079]) ).
fof(f2082,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f2083,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f2082]) ).
fof(f2085,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2086,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f2085]) ).
fof(f2088,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f2076,f2079,f2082,f2085]) ).
fof(f2089,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2090,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f2089]) ).
fof(f2092,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f2093,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f2092]) ).
fof(f2095,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f2096,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f2095]) ).
fof(f2097,plain,
( sQ126_spl
| op2(e23,e23) != e22 ),
inference(component_clause,[status(thm)],[f2095]) ).
fof(f2098,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f2099,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f2098]) ).
fof(f2101,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f2089,f2092,f2095,f2098]) ).
fof(f2103,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f1894,f1946,f1998,f2050]) ).
fof(f2106,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f1900,f1913,f1926,f1939]) ).
fof(f2107,plain,
( sQ114_spl
| sQ98_spl
| sQ82_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f89,f1900,f1952,f2004,f2056]) ).
fof(f2110,plain,
( sQ92_spl
| sQ88_spl
| sQ84_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f92,f1946,f1959,f1972,f1985]) ).
fof(f2111,plain,
( sQ116_spl
| sQ100_spl
| sQ84_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f93,f1907,f1959,f2011,f2063]) ).
fof(f2112,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1949,f1962,f1975,f1988]) ).
fof(f2113,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f1910,f1962,f2014,f2066]) ).
fof(f2114,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1952,f1965,f1978,f1991]) ).
fof(f2116,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1955,f1968,f1981,f1994]) ).
fof(f2117,plain,
( sQ119_spl
| sQ103_spl
| sQ87_spl
| sQ71_spl ),
inference(split_clause,[status(thm)],[f99,f1916,f1968,f2020,f2072]) ).
fof(f2118,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1998,f2011,f2024,f2037]) ).
fof(f2119,plain,
( sQ120_spl
| sQ104_spl
| sQ88_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f101,f1920,f1972,f2024,f2076]) ).
fof(f2120,plain,
( sQ109_spl
| sQ105_spl
| sQ101_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f102,f2001,f2014,f2027,f2040]) ).
fof(f2121,plain,
( sQ121_spl
| sQ105_spl
| sQ89_spl
| sQ73_spl ),
inference(split_clause,[status(thm)],[f103,f1923,f1975,f2027,f2079]) ).
fof(f2122,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f2004,f2017,f2030,f2043]) ).
fof(f2127,plain,
( sQ124_spl
| sQ108_spl
| sQ92_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f109,f1933,f1985,f2037,f2089]) ).
fof(f2128,plain,
( sQ125_spl
| sQ121_spl
| sQ117_spl
| sQ113_spl ),
inference(split_clause,[status(thm)],[f110,f2053,f2066,f2079,f2092]) ).
fof(f2129,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f1936,f1988,f2040,f2092]) ).
fof(f2130,plain,
( sQ126_spl
| sQ122_spl
| sQ118_spl
| sQ114_spl ),
inference(split_clause,[status(thm)],[f112,f2056,f2069,f2082,f2095]) ).
fof(f2131,plain,
( sQ126_spl
| sQ110_spl
| sQ94_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f113,f1939,f1991,f2043,f2095]) ).
fof(f2132,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f2059,f2072,f2085,f2098]) ).
fof(f2134,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f2137,plain,
( sQ63_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f243,f2134,f1858]) ).
fof(f2139,plain,
( sQ29_spl
| ~ sQ23_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f245,f2134,f1728,f1748]) ).
fof(f2142,definition,
( sQ129_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f2145,plain,
( sQ63_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f248,f2142,f1858]) ).
fof(f2146,plain,
( ~ sQ63_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f249,f2142,f1858]) ).
fof(f2149,definition,
( sQ130_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f2152,plain,
( sQ127_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f255,f2149,f2098]) ).
fof(f2154,plain,
( sQ93_spl
| ~ sQ87_spl
| sQ130_spl ),
inference(split_clause,[status(thm)],[f257,f2149,f1968,f1988]) ).
fof(f2157,definition,
( sQ131_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f2160,plain,
( sQ127_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f260,f2157,f2098]) ).
fof(f2161,plain,
( ~ sQ127_spl
| sQ131_spl ),
inference(split_clause,[status(thm)],[f261,f2157,f2098]) ).
fof(f2164,definition,
( sQ132_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f2165,plain,
( ~ sQ132_spl
| h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f2164]) ).
fof(f2166,plain,
( sQ132_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f2164]) ).
fof(f2167,definition,
( sQ133_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f2169,plain,
( sQ133_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f2167]) ).
fof(f2170,definition,
( sQ134_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f2172,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f2170]) ).
fof(f2173,definition,
( sQ135_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f2175,plain,
( sQ135_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f2173]) ).
fof(f2176,definition,
( sQ136_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f2178,plain,
( sQ136_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f2176]) ).
fof(f2179,definition,
( sQ137_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f2181,plain,
( sQ137_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f2179]) ).
fof(f2182,definition,
( sQ138_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f2184,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f2182]) ).
fof(f2185,definition,
( sQ139_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f2187,plain,
( sQ139_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f2185]) ).
fof(f2188,definition,
( sQ140_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f2190,plain,
( sQ140_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f2188]) ).
fof(f2191,definition,
( sQ141_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f2193,plain,
( sQ141_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f2191]) ).
fof(f2194,definition,
( sQ142_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f2196,plain,
( sQ142_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f2194]) ).
fof(f2197,definition,
( sQ143_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f2198,plain,
( ~ sQ143_spl
| h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f2197]) ).
fof(f2199,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f2197]) ).
fof(f2200,definition,
( sQ144_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f2202,plain,
( sQ144_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f2200]) ).
fof(f2203,definition,
( sQ145_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f2205,plain,
( sQ145_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f2203]) ).
fof(f2206,definition,
( sQ146_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f2208,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f2206]) ).
fof(f2209,definition,
( sQ147_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f2211,plain,
( sQ147_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f2209]) ).
fof(f2212,definition,
( sQ148_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f2215,definition,
( sQ149_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f2218,definition,
( sQ150_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2233,definition,
( sQ154_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ154_spl])],[split_symbol_definition]) ).
fof(f2235,plain,
( sQ154_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f2233]) ).
fof(f2236,plain,
( ~ sQ154_spl
| sQ150_spl
| sQ149_spl
| sQ148_spl
| ~ sQ147_spl
| ~ sQ146_spl
| ~ sQ145_spl
| ~ sQ144_spl
| ~ sQ143_spl
| ~ sQ142_spl
| ~ sQ141_spl
| ~ sQ140_spl
| ~ sQ139_spl
| ~ sQ138_spl
| ~ sQ137_spl
| ~ sQ136_spl
| ~ sQ135_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ132_spl ),
inference(split_clause,[status(thm)],[f303,f2164,f2167,f2170,f2173,f2176,f2179,f2182,f2185,f2188,f2191,f2194,f2197,f2200,f2203,f2206,f2209,f2212,f2215,f2218,f2233]) ).
fof(f2237,definition,
( sQ155_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2238,plain,
( ~ sQ155_spl
| h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f2237]) ).
fof(f2239,plain,
( sQ155_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f2237]) ).
fof(f2240,definition,
( sQ156_spl
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2241,plain,
( ~ sQ156_spl
| h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f2240]) ).
fof(f2242,plain,
( sQ156_spl
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) ),
inference(component_clause,[status(thm)],[f2240]) ).
fof(f2243,definition,
( sQ157_spl
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ157_spl])],[split_symbol_definition]) ).
fof(f2245,plain,
( sQ157_spl
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ),
inference(component_clause,[status(thm)],[f2243]) ).
fof(f2246,definition,
( sQ158_spl
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2248,plain,
( sQ158_spl
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13)) ),
inference(component_clause,[status(thm)],[f2246]) ).
fof(f2249,definition,
( sQ159_spl
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2251,plain,
( sQ159_spl
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(component_clause,[status(thm)],[f2249]) ).
fof(f2252,definition,
( sQ160_spl
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f2254,plain,
( sQ160_spl
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11)) ),
inference(component_clause,[status(thm)],[f2252]) ).
fof(f2255,definition,
( sQ161_spl
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f2257,plain,
( sQ161_spl
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ),
inference(component_clause,[status(thm)],[f2255]) ).
fof(f2258,definition,
( sQ162_spl
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2260,plain,
( sQ162_spl
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13)) ),
inference(component_clause,[status(thm)],[f2258]) ).
fof(f2261,definition,
( sQ163_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ163_spl])],[split_symbol_definition]) ).
fof(f2262,plain,
( ~ sQ163_spl
| h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f2261]) ).
fof(f2263,plain,
( sQ163_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f2261]) ).
fof(f2264,definition,
( sQ164_spl
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f2266,plain,
( sQ164_spl
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11)) ),
inference(component_clause,[status(thm)],[f2264]) ).
fof(f2267,definition,
( sQ165_spl
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f2269,plain,
( sQ165_spl
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12)) ),
inference(component_clause,[status(thm)],[f2267]) ).
fof(f2270,definition,
( sQ166_spl
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ166_spl])],[split_symbol_definition]) ).
fof(f2272,plain,
( sQ166_spl
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ),
inference(component_clause,[status(thm)],[f2270]) ).
fof(f2273,definition,
( sQ167_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f2275,plain,
( sQ167_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f2273]) ).
fof(f2276,definition,
( sQ168_spl
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition]) ).
fof(f2278,plain,
( sQ168_spl
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(component_clause,[status(thm)],[f2276]) ).
fof(f2279,definition,
( sQ169_spl
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f2281,plain,
( sQ169_spl
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(component_clause,[status(thm)],[f2279]) ).
fof(f2282,definition,
( sQ170_spl
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f2284,plain,
( sQ170_spl
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(component_clause,[status(thm)],[f2282]) ).
fof(f2285,definition,
( sQ171_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f2288,definition,
( sQ172_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f2291,definition,
( sQ173_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f2298,definition,
( sQ175_spl
<=> h2(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ175_spl])],[split_symbol_definition]) ).
fof(f2300,plain,
( sQ175_spl
| h2(e11) != e23 ),
inference(component_clause,[status(thm)],[f2298]) ).
fof(f2301,plain,
( ~ sQ175_spl
| sQ173_spl
| sQ172_spl
| sQ171_spl
| ~ sQ170_spl
| ~ sQ169_spl
| ~ sQ168_spl
| ~ sQ167_spl
| ~ sQ166_spl
| ~ sQ165_spl
| ~ sQ164_spl
| ~ sQ163_spl
| ~ sQ162_spl
| ~ sQ161_spl
| ~ sQ160_spl
| ~ sQ159_spl
| ~ sQ158_spl
| ~ sQ157_spl
| ~ sQ156_spl
| ~ sQ155_spl ),
inference(split_clause,[status(thm)],[f305,f2237,f2240,f2243,f2246,f2249,f2252,f2255,f2258,f2261,f2264,f2267,f2270,f2273,f2276,f2279,f2282,f2285,f2288,f2291,f2298]) ).
fof(f2310,definition,
( sQ178_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition]) ).
fof(f2311,plain,
( ~ sQ178_spl
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f2310]) ).
fof(f2312,plain,
( sQ178_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f2310]) ).
fof(f2313,definition,
( sQ179_spl
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( ~ sQ179_spl
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f2313]) ).
fof(f2315,plain,
( sQ179_spl
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11)) ),
inference(component_clause,[status(thm)],[f2313]) ).
fof(f2316,definition,
( sQ180_spl
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f2318,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(component_clause,[status(thm)],[f2316]) ).
fof(f2319,definition,
( sQ181_spl
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f2321,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13)) ),
inference(component_clause,[status(thm)],[f2319]) ).
fof(f2322,definition,
( sQ182_spl
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f2324,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(component_clause,[status(thm)],[f2322]) ).
fof(f2325,definition,
( sQ183_spl
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f2327,plain,
( sQ183_spl
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(component_clause,[status(thm)],[f2325]) ).
fof(f2328,definition,
( sQ184_spl
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f2330,plain,
( sQ184_spl
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(component_clause,[status(thm)],[f2328]) ).
fof(f2331,definition,
( sQ185_spl
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ185_spl])],[split_symbol_definition]) ).
fof(f2333,plain,
( sQ185_spl
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(component_clause,[status(thm)],[f2331]) ).
fof(f2334,definition,
( sQ186_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ186_spl])],[split_symbol_definition]) ).
fof(f2335,plain,
( ~ sQ186_spl
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( sQ186_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f2334]) ).
fof(f2337,definition,
( sQ187_spl
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ187_spl])],[split_symbol_definition]) ).
fof(f2339,plain,
( sQ187_spl
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11)) ),
inference(component_clause,[status(thm)],[f2337]) ).
fof(f2340,definition,
( sQ188_spl
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( sQ188_spl
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12)) ),
inference(component_clause,[status(thm)],[f2340]) ).
fof(f2343,definition,
( sQ189_spl
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ189_spl])],[split_symbol_definition]) ).
fof(f2345,plain,
( sQ189_spl
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(component_clause,[status(thm)],[f2343]) ).
fof(f2346,definition,
( sQ190_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ190_spl])],[split_symbol_definition]) ).
fof(f2348,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f2346]) ).
fof(f2349,definition,
( sQ191_spl
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(definition,[new_symbols(definition,[sQ191_spl])],[split_symbol_definition]) ).
fof(f2351,plain,
( sQ191_spl
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(component_clause,[status(thm)],[f2349]) ).
fof(f2352,definition,
( sQ192_spl
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f2354,plain,
( sQ192_spl
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) ),
inference(component_clause,[status(thm)],[f2352]) ).
fof(f2355,definition,
( sQ193_spl
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f2357,plain,
( sQ193_spl
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(component_clause,[status(thm)],[f2355]) ).
fof(f2358,definition,
( sQ194_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f2361,definition,
( sQ195_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ195_spl])],[split_symbol_definition]) ).
fof(f2364,definition,
( sQ196_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ196_spl])],[split_symbol_definition]) ).
fof(f2383,definition,
( sQ201_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2384,plain,
( ~ sQ201_spl
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f2383]) ).
fof(f2385,plain,
( sQ201_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f2383]) ).
fof(f2386,definition,
( sQ202_spl
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( ~ sQ202_spl
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f2386]) ).
fof(f2388,plain,
( sQ202_spl
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(component_clause,[status(thm)],[f2386]) ).
fof(f2389,definition,
( sQ203_spl
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2391,plain,
( sQ203_spl
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ),
inference(component_clause,[status(thm)],[f2389]) ).
fof(f2392,definition,
( sQ204_spl
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ204_spl])],[split_symbol_definition]) ).
fof(f2394,plain,
( sQ204_spl
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(component_clause,[status(thm)],[f2392]) ).
fof(f2395,definition,
( sQ205_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ205_spl])],[split_symbol_definition]) ).
fof(f2397,plain,
( sQ205_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f2395]) ).
fof(f2398,definition,
( sQ206_spl
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ206_spl])],[split_symbol_definition]) ).
fof(f2400,plain,
( sQ206_spl
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) ),
inference(component_clause,[status(thm)],[f2398]) ).
fof(f2401,definition,
( sQ207_spl
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f2403,plain,
( sQ207_spl
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12)) ),
inference(component_clause,[status(thm)],[f2401]) ).
fof(f2404,definition,
( sQ208_spl
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ208_spl])],[split_symbol_definition]) ).
fof(f2406,plain,
( sQ208_spl
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13)) ),
inference(component_clause,[status(thm)],[f2404]) ).
fof(f2407,definition,
( sQ209_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ209_spl])],[split_symbol_definition]) ).
fof(f2409,plain,
( sQ209_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f2407]) ).
fof(f2410,definition,
( sQ210_spl
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ210_spl])],[split_symbol_definition]) ).
fof(f2412,plain,
( sQ210_spl
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(component_clause,[status(thm)],[f2410]) ).
fof(f2413,definition,
( sQ211_spl
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f2415,plain,
( sQ211_spl
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(component_clause,[status(thm)],[f2413]) ).
fof(f2416,definition,
( sQ212_spl
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ212_spl])],[split_symbol_definition]) ).
fof(f2418,plain,
( sQ212_spl
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13)) ),
inference(component_clause,[status(thm)],[f2416]) ).
fof(f2419,definition,
( sQ213_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ213_spl])],[split_symbol_definition]) ).
fof(f2421,plain,
( sQ213_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f2419]) ).
fof(f2422,definition,
( sQ214_spl
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(definition,[new_symbols(definition,[sQ214_spl])],[split_symbol_definition]) ).
fof(f2424,plain,
( sQ214_spl
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11)) ),
inference(component_clause,[status(thm)],[f2422]) ).
fof(f2425,definition,
( sQ215_spl
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f2427,plain,
( sQ215_spl
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(component_clause,[status(thm)],[f2425]) ).
fof(f2428,definition,
( sQ216_spl
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f2430,plain,
( sQ216_spl
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13)) ),
inference(component_clause,[status(thm)],[f2428]) ).
fof(f2431,definition,
( sQ217_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f2434,definition,
( sQ218_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f2437,definition,
( sQ219_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2440,definition,
( sQ220_spl
<=> h4(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f2442,plain,
( sQ220_spl
| h4(e10) != e23 ),
inference(component_clause,[status(thm)],[f2440]) ).
fof(f2443,plain,
( ~ sQ220_spl
| sQ219_spl
| sQ218_spl
| sQ217_spl
| ~ sQ216_spl
| ~ sQ215_spl
| ~ sQ214_spl
| ~ sQ213_spl
| ~ sQ212_spl
| ~ sQ211_spl
| ~ sQ210_spl
| ~ sQ209_spl
| ~ sQ208_spl
| ~ sQ207_spl
| ~ sQ206_spl
| ~ sQ205_spl
| ~ sQ204_spl
| ~ sQ203_spl
| ~ sQ202_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f312,f2383,f2386,f2389,f2392,f2395,f2398,f2401,f2404,f2407,f2410,f2413,f2416,f2419,f2422,f2425,f2428,f2431,f2434,f2437,f2440]) ).
fof(f2444,definition,
( sQ221_spl
<=> h4(e11) = e23 ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f2446,plain,
( sQ221_spl
| h4(e11) != e23 ),
inference(component_clause,[status(thm)],[f2444]) ).
fof(f2448,definition,
( sQ222_spl
<=> h4(e12) = e23 ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f2450,plain,
( sQ222_spl
| h4(e12) != e23 ),
inference(component_clause,[status(thm)],[f2448]) ).
fof(f2452,definition,
( sQ223_spl
<=> h4(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f2454,plain,
( sQ223_spl
| h4(e13) != e23 ),
inference(component_clause,[status(thm)],[f2452]) ).
fof(f2456,definition,
( sQ224_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f2459,plain,
( sQ42_spl
| sQ224_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f322,f2134,f2456,f1790]) ).
fof(f2460,definition,
( sQ225_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f2464,definition,
( sQ226_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f2469,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ224_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f326,f2134,f2456,f1855,f1845]) ).
fof(f2475,definition,
( sQ227_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f2478,plain,
( sQ63_spl
| sQ227_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f335,f2142,f2475,f1858]) ).
fof(f2479,plain,
( ~ sQ63_spl
| sQ227_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f336,f2142,f2475,f1858]) ).
fof(f2480,plain,
( sQ43_spl
| sQ227_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f337,f2142,f2475,f1793]) ).
fof(f2482,plain,
( ~ sQ227_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f339,f2142,f2475]) ).
fof(f2484,definition,
( sQ228_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f2487,plain,
( sQ106_spl
| sQ228_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f347,f2149,f2484,f2030]) ).
fof(f2488,definition,
( sQ229_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f2492,definition,
( sQ230_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f2495,plain,
( sQ230_spl
| sQ228_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f349,f2149,f2484,f2492]) ).
fof(f2497,plain,
( sQ123_spl
| ~ sQ126_spl
| sQ228_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f351,f2149,f2484,f2095,f2085]) ).
fof(f2503,definition,
( sQ231_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f2506,plain,
( sQ127_spl
| sQ231_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f360,f2157,f2503,f2098]) ).
fof(f2507,plain,
( ~ sQ127_spl
| sQ231_spl
| ~ sQ131_spl ),
inference(split_clause,[status(thm)],[f361,f2157,f2503,f2098]) ).
fof(f2512,definition,
( sQ232_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f2514,plain,
( sQ232_spl
| h1(e10) != e20 ),
inference(component_clause,[status(thm)],[f2512]) ).
fof(f2515,plain,
( ~ sQ232_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f367,f2212,f2512]) ).
fof(f2520,definition,
( sQ234_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f2521,plain,
( ~ sQ234_spl
| h1(e12) = e20 ),
inference(component_clause,[status(thm)],[f2520]) ).
fof(f2524,definition,
( sQ235_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f2525,plain,
( ~ sQ235_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f2524]) ).
fof(f2533,definition,
( sQ237_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ237_spl])],[split_symbol_definition]) ).
fof(f2535,plain,
( sQ237_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f2533]) ).
fof(f2536,plain,
( ~ sQ237_spl
| ~ sQ149_spl ),
inference(split_clause,[status(thm)],[f374,f2215,f2533]) ).
fof(f2537,definition,
( sQ238_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f2538,plain,
( ~ sQ238_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f2537]) ).
fof(f2541,definition,
( sQ239_spl
<=> h1(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f2542,plain,
( ~ sQ239_spl
| h1(e13) = e21 ),
inference(component_clause,[status(thm)],[f2541]) ).
fof(f2546,definition,
( sQ240_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f2547,plain,
( ~ sQ240_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f2546]) ).
fof(f2550,definition,
( sQ241_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f2551,plain,
( ~ sQ241_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f2550]) ).
fof(f2554,definition,
( sQ242_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f2556,plain,
( sQ242_spl
| h1(e12) != e22 ),
inference(component_clause,[status(thm)],[f2554]) ).
fof(f2557,plain,
( ~ sQ242_spl
| ~ sQ150_spl ),
inference(split_clause,[status(thm)],[f381,f2218,f2554]) ).
fof(f2558,definition,
( sQ243_spl
<=> h1(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f2559,plain,
( ~ sQ243_spl
| h1(e13) = e22 ),
inference(component_clause,[status(thm)],[f2558]) ).
fof(f2563,definition,
( sQ244_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ244_spl])],[split_symbol_definition]) ).
fof(f2564,plain,
( ~ sQ244_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f2563]) ).
fof(f2567,definition,
( sQ245_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2568,plain,
( ~ sQ245_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f2567]) ).
fof(f2575,definition,
( sQ247_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f2577,plain,
( sQ247_spl
| h2(e13) != e20 ),
inference(component_clause,[status(thm)],[f2575]) ).
fof(f2578,plain,
( ~ sQ247_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f388,f2285,f2575]) ).
fof(f2580,definition,
( sQ248_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f2581,plain,
( ~ sQ248_spl
| h2(e10) = e21 ),
inference(component_clause,[status(thm)],[f2580]) ).
fof(f2582,plain,
( sQ248_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f2580]) ).
fof(f2583,plain,
( ~ sQ248_spl
| ~ sQ172_spl ),
inference(split_clause,[status(thm)],[f391,f2288,f2580]) ).
fof(f2588,definition,
( sQ250_spl
<=> h2(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f2589,plain,
( ~ sQ250_spl
| h2(e12) = e21 ),
inference(component_clause,[status(thm)],[f2588]) ).
fof(f2597,definition,
( sQ252_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f2598,plain,
( ~ sQ252_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f2597]) ).
fof(f2601,definition,
( sQ253_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ253_spl])],[split_symbol_definition]) ).
fof(f2602,plain,
( ~ sQ253_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f2601]) ).
fof(f2605,definition,
( sQ254_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2606,plain,
( ~ sQ254_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f2605]) ).
fof(f2608,plain,
( ~ sQ254_spl
| ~ sQ173_spl ),
inference(split_clause,[status(thm)],[f399,f2291,f2605]) ).
fof(f2614,definition,
( sQ256_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2615,plain,
( ~ sQ256_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f2614]) ).
fof(f2618,definition,
( sQ257_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2619,plain,
( ~ sQ257_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f2618]) ).
fof(f2622,definition,
( sQ258_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2623,plain,
( ~ sQ258_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f2622]) ).
fof(f2626,definition,
( sQ259_spl
<=> h3(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2629,plain,
( ~ sQ259_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f406,f2358,f2626]) ).
fof(f2630,plain,
( sQ259_spl
| sQ258_spl
| sQ257_spl
| sQ256_spl
| sQ194_spl ),
inference(split_clause,[status(thm)],[f407,f2358,f2614,f2618,f2622,f2626]) ).
fof(f2631,definition,
( sQ260_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2632,plain,
( ~ sQ260_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f2631]) ).
fof(f2635,definition,
( sQ261_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2636,plain,
( ~ sQ261_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f2635]) ).
fof(f2639,definition,
( sQ262_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2640,plain,
( ~ sQ262_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f2639]) ).
fof(f2643,definition,
( sQ263_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2644,plain,
( ~ sQ263_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f2643]) ).
fof(f2647,plain,
( sQ263_spl
| sQ262_spl
| sQ261_spl
| sQ260_spl
| sQ195_spl ),
inference(split_clause,[status(thm)],[f413,f2361,f2631,f2635,f2639,f2643]) ).
fof(f2652,definition,
( sQ265_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2653,plain,
( ~ sQ265_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f2652]) ).
fof(f2655,plain,
( ~ sQ265_spl
| ~ sQ196_spl ),
inference(split_clause,[status(thm)],[f416,f2364,f2652]) ).
fof(f2656,definition,
( sQ266_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2657,plain,
( ~ sQ266_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f2656]) ).
fof(f2660,definition,
( sQ267_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2661,plain,
( ~ sQ267_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f2660]) ).
fof(f2662,plain,
( sQ267_spl
| h3(e13) != e22 ),
inference(component_clause,[status(thm)],[f2660]) ).
fof(f2665,definition,
( sQ268_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ268_spl])],[split_symbol_definition]) ).
fof(f2666,plain,
( ~ sQ268_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f2665]) ).
fof(f2669,definition,
( sQ269_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2670,plain,
( ~ sQ269_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2669]) ).
fof(f2672,plain,
( ~ sQ269_spl
| ~ sQ217_spl ),
inference(split_clause,[status(thm)],[f422,f2431,f2669]) ).
fof(f2673,definition,
( sQ270_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2674,plain,
( ~ sQ270_spl
| h4(e12) = e20 ),
inference(component_clause,[status(thm)],[f2673]) ).
fof(f2682,definition,
( sQ272_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2683,plain,
( ~ sQ272_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2682]) ).
fof(f2686,definition,
( sQ273_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2688,plain,
( sQ273_spl
| h4(e11) != e21 ),
inference(component_clause,[status(thm)],[f2686]) ).
fof(f2689,plain,
( ~ sQ273_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f428,f2434,f2686]) ).
fof(f2690,definition,
( sQ274_spl
<=> h4(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2691,plain,
( ~ sQ274_spl
| h4(e12) = e21 ),
inference(component_clause,[status(thm)],[f2690]) ).
fof(f2694,definition,
( sQ275_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2695,plain,
( ~ sQ275_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f2694]) ).
fof(f2696,plain,
( sQ275_spl
| h4(e13) != e21 ),
inference(component_clause,[status(thm)],[f2694]) ).
fof(f2697,plain,
( ~ sQ275_spl
| ~ sQ218_spl ),
inference(split_clause,[status(thm)],[f430,f2434,f2694]) ).
fof(f2698,plain,
( sQ275_spl
| sQ274_spl
| sQ273_spl
| sQ272_spl
| sQ218_spl ),
inference(split_clause,[status(thm)],[f431,f2434,f2682,f2686,f2690,f2694]) ).
fof(f2699,definition,
( sQ276_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2700,plain,
( ~ sQ276_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2699]) ).
fof(f2703,definition,
( sQ277_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2707,definition,
( sQ278_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2708,plain,
( ~ sQ278_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2707]) ).
fof(f2709,plain,
( sQ278_spl
| h4(e12) != e22 ),
inference(component_clause,[status(thm)],[f2707]) ).
fof(f2710,plain,
( ~ sQ278_spl
| ~ sQ219_spl ),
inference(split_clause,[status(thm)],[f435,f2437,f2707]) ).
fof(f2711,definition,
( sQ279_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2712,plain,
( ~ sQ279_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f2711]) ).
fof(f2716,definition,
( sQ280_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2720,definition,
( sQ281_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2723,plain,
( sQ281_spl
| sQ280_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f445,f2456,f2716,f2720]) ).
fof(f2724,definition,
( sQ282_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2736,plain,
( sQ2_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f456,f2460,f1660]) ).
fof(f2739,plain,
( sQ22_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f460,f2464,f1725]) ).
fof(f2741,definition,
( sQ283_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2744,plain,
( sQ63_spl
| sQ283_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f465,f2475,f2741,f1858]) ).
fof(f2745,plain,
( ~ sQ63_spl
| sQ283_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f466,f2475,f2741,f1858]) ).
fof(f2746,plain,
( sQ23_spl
| sQ283_spl
| ~ sQ227_spl ),
inference(split_clause,[status(thm)],[f467,f2475,f2741,f1728]) ).
fof(f2748,plain,
( ~ sQ283_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f469,f2475,f2741]) ).
fof(f2750,definition,
( sQ284_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2754,definition,
( sQ285_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2757,plain,
( sQ285_spl
| sQ284_spl
| ~ sQ228_spl ),
inference(split_clause,[status(thm)],[f478,f2484,f2750,f2754]) ).
fof(f2758,definition,
( sQ286_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2770,plain,
( sQ66_spl
| sQ229_spl ),
inference(split_clause,[status(thm)],[f489,f2488,f1900]) ).
fof(f2772,plain,
( sQ89_spl
| ~ sQ86_spl
| ~ sQ230_spl ),
inference(split_clause,[status(thm)],[f492,f2492,f1965,f1975]) ).
fof(f2774,plain,
( ~ sQ89_spl
| sQ230_spl ),
inference(split_clause,[status(thm)],[f494,f2492,f1975]) ).
fof(f2775,definition,
( sQ287_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2778,plain,
( sQ127_spl
| sQ287_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f498,f2503,f2775,f2098]) ).
fof(f2779,plain,
( ~ sQ127_spl
| sQ287_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f499,f2503,f2775,f2098]) ).
fof(f2784,plain,
( sQ0_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f508,f2716,f1654]) ).
fof(f2785,definition,
( sQ288_spl
<=> sP32_prd ),
introduced(definition,[new_symbols(definition,[sQ288_spl])],[split_symbol_definition]) ).
fof(f2789,definition,
( sQ289_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2799,plain,
( sQ4_spl
| ~ sQ1_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f518,f2720,f1657,f1667]) ).
fof(f2803,plain,
( sQ21_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f523,f2724,f1722]) ).
fof(f2804,plain,
( ~ sQ21_spl
| sQ282_spl ),
inference(split_clause,[status(thm)],[f524,f2724,f1722]) ).
fof(f2805,definition,
( sQ290_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2808,plain,
( sQ63_spl
| sQ290_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f528,f2741,f2805,f1858]) ).
fof(f2809,plain,
( ~ sQ63_spl
| sQ290_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f529,f2741,f2805,f1858]) ).
fof(f2812,plain,
( ~ sQ290_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f532,f2741,f2805]) ).
fof(f2814,plain,
( sQ64_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f538,f2750,f1894]) ).
fof(f2815,definition,
( sQ291_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2819,definition,
( sQ292_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2829,plain,
( sQ68_spl
| ~ sQ65_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f548,f2754,f1897,f1907]) ).
fof(f2833,plain,
( sQ85_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f553,f2758,f1962]) ).
fof(f2834,plain,
( ~ sQ85_spl
| sQ286_spl ),
inference(split_clause,[status(thm)],[f554,f2758,f1962]) ).
fof(f2835,definition,
( sQ293_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2838,plain,
( sQ127_spl
| sQ293_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f558,f2775,f2835,f2098]) ).
fof(f2839,plain,
( ~ sQ127_spl
| sQ293_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f559,f2775,f2835,f2098]) ).
fof(f2845,plain,
( sQ0_spl
| sQ288_spl ),
inference(split_clause,[status(thm)],[f566,f2785,f1654]) ).
fof(f2847,plain,
( sQ17_spl
| ~ sQ20_spl
| ~ sQ289_spl ),
inference(split_clause,[status(thm)],[f569,f2789,f1719,f1709]) ).
fof(f2848,plain,
( sQ20_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f570,f2789,f1719]) ).
fof(f2850,definition,
( sQ294_spl
<=> sP38_prd ),
introduced(definition,[new_symbols(definition,[sQ294_spl])],[split_symbol_definition]) ).
fof(f2853,plain,
( sQ59_spl
| sQ294_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f575,f2805,f2850,f1845]) ).
fof(f2854,plain,
( ~ sQ62_spl
| sQ294_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f576,f2805,f2850,f1855]) ).
fof(f2855,plain,
( sQ62_spl
| sQ294_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f577,f2805,f2850,f1855]) ).
fof(f2856,plain,
( ~ sQ59_spl
| sQ294_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f578,f2805,f2850,f1845]) ).
fof(f2857,plain,
( ~ sQ294_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f579,f2805,f2850]) ).
fof(f2860,plain,
( sQ64_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f583,f2815,f1894]) ).
fof(f2863,plain,
( sQ84_spl
| sQ292_spl ),
inference(split_clause,[status(thm)],[f587,f2819,f1959]) ).
fof(f2865,definition,
( sQ295_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2868,plain,
( sQ123_spl
| sQ295_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f592,f2835,f2865,f2085]) ).
fof(f2870,plain,
( sQ126_spl
| sQ295_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f594,f2835,f2865,f2095]) ).
fof(f2871,plain,
( ~ sQ123_spl
| sQ295_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f595,f2835,f2865,f2085]) ).
fof(f2874,definition,
( sQ296_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2877,plain,
( sQ59_spl
| sQ296_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f601,f2850,f2874,f1845]) ).
fof(f2878,plain,
( ~ sQ62_spl
| sQ296_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f602,f2850,f2874,f1855]) ).
fof(f2880,plain,
( ~ sQ42_spl
| sQ296_spl
| ~ sQ294_spl ),
inference(split_clause,[status(thm)],[f604,f2850,f2874,f1790]) ).
fof(f2881,plain,
( ~ sQ296_spl
| sQ294_spl ),
inference(split_clause,[status(thm)],[f605,f2850,f2874]) ).
fof(f2883,definition,
( sQ297_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2886,plain,
( sQ123_spl
| sQ297_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f610,f2865,f2883,f2085]) ).
fof(f2888,plain,
( sQ106_spl
| sQ297_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f612,f2865,f2883,f2030]) ).
fof(f2889,plain,
( ~ sQ106_spl
| sQ297_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f613,f2865,f2883,f2030]) ).
fof(f2892,definition,
( sQ298_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2895,plain,
( sQ59_spl
| sQ298_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f619,f2874,f2892,f1845]) ).
fof(f2896,plain,
( ~ sQ62_spl
| sQ298_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f620,f2874,f2892,f1855]) ).
fof(f2897,plain,
( sQ22_spl
| sQ298_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f621,f2874,f2892,f1725]) ).
fof(f2899,plain,
( ~ sQ298_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f623,f2874,f2892]) ).
fof(f2901,definition,
( sQ299_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2904,plain,
( sQ123_spl
| sQ299_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f628,f2883,f2901,f2085]) ).
fof(f2905,plain,
( ~ sQ126_spl
| sQ299_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f629,f2883,f2901,f2095]) ).
fof(f2907,plain,
( ~ sQ89_spl
| sQ299_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f631,f2883,f2901,f1975]) ).
fof(f2910,definition,
( sQ300_spl
<=> sP44_prd ),
introduced(definition,[new_symbols(definition,[sQ300_spl])],[split_symbol_definition]) ).
fof(f2913,plain,
( sQ59_spl
| sQ300_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f637,f2892,f2910,f1845]) ).
fof(f2914,plain,
( ~ sQ62_spl
| sQ300_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f638,f2892,f2910,f1855]) ).
fof(f2915,plain,
( sQ2_spl
| sQ300_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f639,f2892,f2910,f1660]) ).
fof(f2917,plain,
( ~ sQ300_spl
| sQ298_spl ),
inference(split_clause,[status(thm)],[f641,f2892,f2910]) ).
fof(f2919,definition,
( sQ301_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2922,plain,
( sQ123_spl
| sQ301_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f646,f2901,f2919,f2085]) ).
fof(f2924,plain,
( sQ66_spl
| sQ301_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f648,f2901,f2919,f1900]) ).
fof(f2926,plain,
( ~ sQ301_spl
| sQ299_spl ),
inference(split_clause,[status(thm)],[f650,f2901,f2919]) ).
fof(f2928,definition,
( sQ302_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2931,plain,
( sQ55_spl
| sQ302_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f655,f2910,f2928,f1832]) ).
fof(f2933,plain,
( sQ61_spl
| sQ302_spl
| ~ sQ300_spl ),
inference(split_clause,[status(thm)],[f657,f2910,f2928,f1852]) ).
fof(f2935,plain,
( ~ sQ302_spl
| sQ300_spl ),
inference(split_clause,[status(thm)],[f659,f2910,f2928]) ).
fof(f2937,definition,
( sQ303_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2940,plain,
( sQ119_spl
| sQ303_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f664,f2919,f2937,f2072]) ).
fof(f2942,plain,
( sQ125_spl
| sQ303_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f666,f2919,f2937,f2092]) ).
fof(f2943,plain,
( ~ sQ119_spl
| sQ303_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f667,f2919,f2937,f2072]) ).
fof(f2944,plain,
( ~ sQ303_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f668,f2919,f2937]) ).
fof(f2946,definition,
( sQ304_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2949,plain,
( sQ55_spl
| sQ304_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f673,f2928,f2946,f1832]) ).
fof(f2951,plain,
( sQ41_spl
| sQ304_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f675,f2928,f2946,f1787]) ).
fof(f2953,plain,
( ~ sQ304_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f677,f2928,f2946]) ).
fof(f2955,definition,
( sQ305_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2958,plain,
( sQ119_spl
| sQ305_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f682,f2937,f2955,f2072]) ).
fof(f2960,plain,
( sQ105_spl
| sQ305_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f684,f2937,f2955,f2027]) ).
fof(f2964,definition,
( sQ306_spl
<=> sP50_prd ),
introduced(definition,[new_symbols(definition,[sQ306_spl])],[split_symbol_definition]) ).
fof(f2967,plain,
( sQ55_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f691,f2946,f2964,f1832]) ).
fof(f2970,plain,
( ~ sQ21_spl
| sQ306_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f694,f2946,f2964,f1722]) ).
fof(f2971,plain,
( ~ sQ306_spl
| sQ304_spl ),
inference(split_clause,[status(thm)],[f695,f2946,f2964]) ).
fof(f2973,definition,
( sQ307_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2976,plain,
( sQ119_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f700,f2955,f2973,f2072]) ).
fof(f2977,plain,
( ~ sQ125_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f701,f2955,f2973,f2092]) ).
fof(f2978,plain,
( sQ85_spl
| sQ307_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f702,f2955,f2973,f1962]) ).
fof(f2982,definition,
( sQ308_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2985,plain,
( sQ55_spl
| sQ308_spl
| ~ sQ306_spl ),
inference(split_clause,[status(thm)],[f709,f2964,f2982,f1832]) ).
fof(f2989,plain,
( ~ sQ308_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f713,f2964,f2982]) ).
fof(f2990,plain,
( sQ4_spl
| ~ sQ1_spl
| sQ61_spl
| ~ sQ55_spl
| sQ306_spl ),
inference(split_clause,[status(thm)],[f714,f2964,f1832,f1852,f1657,f1667]) ).
fof(f2991,definition,
( sQ309_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2994,plain,
( sQ119_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f718,f2973,f2991,f2072]) ).
fof(f2995,plain,
( ~ sQ125_spl
| sQ309_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f719,f2973,f2991,f2092]) ).
fof(f2999,plain,
( sQ68_spl
| ~ sQ65_spl
| sQ125_spl
| ~ sQ119_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f723,f2973,f2072,f2092,f1897,f1907]) ).
fof(f3000,definition,
( sQ310_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f3003,plain,
( sQ51_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f727,f2982,f3000,f1819]) ).
fof(f3004,plain,
( ~ sQ60_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f728,f2982,f3000,f1849]) ).
fof(f3005,plain,
( sQ60_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f729,f2982,f3000,f1849]) ).
fof(f3006,plain,
( ~ sQ51_spl
| sQ310_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f730,f2982,f3000,f1819]) ).
fof(f3007,plain,
( ~ sQ310_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f731,f2982,f3000]) ).
fof(f3009,definition,
( sQ311_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f3012,plain,
( sQ115_spl
| sQ311_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f736,f2991,f3009,f2059]) ).
fof(f3018,definition,
( sQ312_spl
<=> sP56_prd ),
introduced(definition,[new_symbols(definition,[sQ312_spl])],[split_symbol_definition]) ).
fof(f3021,plain,
( sQ51_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f745,f3000,f3018,f1819]) ).
fof(f3022,plain,
( ~ sQ60_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f746,f3000,f3018,f1849]) ).
fof(f3023,plain,
( sQ40_spl
| sQ312_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f747,f3000,f3018,f1784]) ).
fof(f3025,plain,
( ~ sQ312_spl
| sQ310_spl ),
inference(split_clause,[status(thm)],[f749,f3000,f3018]) ).
fof(f3027,definition,
( sQ313_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f3030,plain,
( sQ115_spl
| sQ313_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f754,f3009,f3027,f2059]) ).
fof(f3036,definition,
( sQ314_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f3039,plain,
( sQ51_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f763,f3018,f3036,f1819]) ).
fof(f3040,plain,
( ~ sQ60_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f764,f3018,f3036,f1849]) ).
fof(f3041,plain,
( sQ20_spl
| sQ314_spl
| ~ sQ312_spl ),
inference(split_clause,[status(thm)],[f765,f3018,f3036,f1719]) ).
fof(f3043,plain,
( ~ sQ314_spl
| sQ312_spl ),
inference(split_clause,[status(thm)],[f767,f3018,f3036]) ).
fof(f3045,definition,
( sQ315_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f3048,plain,
( sQ115_spl
| sQ315_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f772,f3027,f3045,f2059]) ).
fof(f3054,definition,
( sQ316_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f3057,plain,
( sQ51_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f781,f3036,f3054,f1819]) ).
fof(f3058,plain,
( ~ sQ60_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f782,f3036,f3054,f1849]) ).
fof(f3059,plain,
( sQ0_spl
| sQ316_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f783,f3036,f3054,f1654]) ).
fof(f3061,plain,
( ~ sQ316_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f785,f3036,f3054]) ).
fof(f3063,definition,
( sQ317_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f3066,plain,
( sQ115_spl
| sQ317_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f790,f3045,f3063,f2059]) ).
fof(f3072,definition,
( sQ318_spl
<=> sP62_prd ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f3075,plain,
( sQ46_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f799,f3054,f3072,f1803]) ).
fof(f3077,plain,
( sQ63_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f801,f3054,f3072,f1858]) ).
fof(f3078,plain,
( ~ sQ63_spl
| sQ318_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f802,f3054,f3072,f1858]) ).
fof(f3079,plain,
( ~ sQ318_spl
| sQ316_spl ),
inference(split_clause,[status(thm)],[f803,f3054,f3072]) ).
fof(f3081,definition,
( sQ319_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f3084,plain,
( sQ110_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f808,f3063,f3081,f2043]) ).
fof(f3086,plain,
( sQ127_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f810,f3063,f3081,f2098]) ).
fof(f3087,plain,
( ~ sQ127_spl
| sQ319_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f811,f3063,f3081,f2098]) ).
fof(f3090,definition,
( sQ320_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f3093,plain,
( sQ46_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f817,f3072,f3090,f1803]) ).
fof(f3095,plain,
( sQ43_spl
| sQ320_spl
| ~ sQ318_spl ),
inference(split_clause,[status(thm)],[f819,f3072,f3090,f1793]) ).
fof(f3097,plain,
( ~ sQ320_spl
| sQ318_spl ),
inference(split_clause,[status(thm)],[f821,f3072,f3090]) ).
fof(f3099,definition,
( sQ321_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f3102,plain,
( sQ110_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f826,f3081,f3099,f2043]) ).
fof(f3105,plain,
( ~ sQ110_spl
| sQ321_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f829,f3081,f3099,f2043]) ).
fof(f3108,definition,
( sQ322_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f3111,plain,
( sQ46_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f835,f3090,f3108,f1803]) ).
fof(f3114,plain,
( ~ sQ29_spl
| sQ322_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f838,f3090,f3108,f1748]) ).
fof(f3115,plain,
( ~ sQ322_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f839,f3090,f3108]) ).
fof(f3117,definition,
( sQ323_spl
<=> sP67_prd ),
introduced(definition,[new_symbols(definition,[sQ323_spl])],[split_symbol_definition]) ).
fof(f3120,plain,
( sQ110_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f844,f3099,f3117,f2043]) ).
fof(f3122,plain,
( sQ87_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f846,f3099,f3117,f1968]) ).
fof(f3123,plain,
( ~ sQ93_spl
| sQ323_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f847,f3099,f3117,f1988]) ).
fof(f3124,plain,
( ~ sQ323_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f848,f3099,f3117]) ).
fof(f3126,definition,
( sQ324_spl
<=> sP68_prd ),
introduced(definition,[new_symbols(definition,[sQ324_spl])],[split_symbol_definition]) ).
fof(f3129,plain,
( sQ46_spl
| sQ324_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f853,f3108,f3126,f1803]) ).
fof(f3132,plain,
( ~ sQ12_spl
| sQ324_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f856,f3108,f3126,f1693]) ).
fof(f3133,plain,
( ~ sQ324_spl
| sQ322_spl ),
inference(split_clause,[status(thm)],[f857,f3108,f3126]) ).
fof(f3135,definition,
( sQ325_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f3138,plain,
( sQ110_spl
| sQ325_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f862,f3117,f3135,f2043]) ).
fof(f3141,plain,
( ~ sQ76_spl
| sQ325_spl
| ~ sQ323_spl ),
inference(split_clause,[status(thm)],[f865,f3117,f3135,f1933]) ).
fof(f3142,plain,
( ~ sQ325_spl
| sQ323_spl ),
inference(split_clause,[status(thm)],[f866,f3117,f3135]) ).
fof(f3144,definition,
( sQ326_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f3147,plain,
( sQ42_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f871,f3126,f3144,f1790]) ).
fof(f3148,plain,
( ~ sQ42_spl
| sQ326_spl
| ~ sQ324_spl ),
inference(split_clause,[status(thm)],[f872,f3126,f3144,f1790]) ).
fof(f3151,plain,
( ~ sQ326_spl
| sQ324_spl ),
inference(split_clause,[status(thm)],[f875,f3126,f3144]) ).
fof(f3153,definition,
( sQ327_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f3156,plain,
( sQ106_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f880,f3135,f3153,f2030]) ).
fof(f3157,plain,
( ~ sQ106_spl
| sQ327_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f881,f3135,f3153,f2030]) ).
fof(f3160,plain,
( ~ sQ327_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f884,f3135,f3153]) ).
fof(f3162,definition,
( sQ328_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f3165,plain,
( sQ42_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f889,f3144,f3162,f1790]) ).
fof(f3166,plain,
( ~ sQ42_spl
| sQ328_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f890,f3144,f3162,f1790]) ).
fof(f3169,plain,
( ~ sQ328_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f893,f3144,f3162]) ).
fof(f3171,definition,
( sQ329_spl
<=> sP73_prd ),
introduced(definition,[new_symbols(definition,[sQ329_spl])],[split_symbol_definition]) ).
fof(f3174,plain,
( sQ106_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f898,f3153,f3171,f2030]) ).
fof(f3175,plain,
( ~ sQ106_spl
| sQ329_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f899,f3153,f3171,f2030]) ).
fof(f3178,plain,
( ~ sQ329_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f902,f3153,f3171]) ).
fof(f3180,definition,
( sQ330_spl
<=> sP74_prd ),
introduced(definition,[new_symbols(definition,[sQ330_spl])],[split_symbol_definition]) ).
fof(f3183,plain,
( sQ42_spl
| sQ330_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f907,f3162,f3180,f1790]) ).
fof(f3184,plain,
( ~ sQ42_spl
| sQ330_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f908,f3162,f3180,f1790]) ).
fof(f3185,plain,
( sQ22_spl
| sQ330_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f909,f3162,f3180,f1725]) ).
fof(f3187,plain,
( ~ sQ330_spl
| sQ328_spl ),
inference(split_clause,[status(thm)],[f911,f3162,f3180]) ).
fof(f3189,definition,
( sQ331_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f3192,plain,
( sQ106_spl
| sQ331_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f916,f3171,f3189,f2030]) ).
fof(f3193,plain,
( ~ sQ106_spl
| sQ331_spl
| ~ sQ329_spl ),
inference(split_clause,[status(thm)],[f917,f3171,f3189,f2030]) ).
fof(f3196,plain,
( ~ sQ331_spl
| sQ329_spl ),
inference(split_clause,[status(thm)],[f920,f3171,f3189]) ).
fof(f3198,definition,
( sQ332_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f3201,plain,
( sQ42_spl
| sQ332_spl
| ~ sQ330_spl ),
inference(split_clause,[status(thm)],[f925,f3180,f3198,f1790]) ).
fof(f3202,plain,
( ~ sQ42_spl
| sQ332_spl
| ~ sQ330_spl ),
inference(split_clause,[status(thm)],[f926,f3180,f3198,f1790]) ).
fof(f3203,plain,
( sQ2_spl
| sQ332_spl
| ~ sQ330_spl ),
inference(split_clause,[status(thm)],[f927,f3180,f3198,f1660]) ).
fof(f3205,plain,
( ~ sQ332_spl
| sQ330_spl ),
inference(split_clause,[status(thm)],[f929,f3180,f3198]) ).
fof(f3207,definition,
( sQ333_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f3210,plain,
( sQ106_spl
| sQ333_spl
| ~ sQ331_spl ),
inference(split_clause,[status(thm)],[f934,f3189,f3207,f2030]) ).
fof(f3211,plain,
( ~ sQ106_spl
| sQ333_spl
| ~ sQ331_spl ),
inference(split_clause,[status(thm)],[f935,f3189,f3207,f2030]) ).
fof(f3214,plain,
( ~ sQ333_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f938,f3189,f3207]) ).
fof(f3216,definition,
( sQ334_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f3219,plain,
( sQ38_spl
| sQ334_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f943,f3198,f3216,f1777]) ).
fof(f3221,plain,
( sQ61_spl
| sQ334_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f945,f3198,f3216,f1852]) ).
fof(f3223,plain,
( ~ sQ334_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f947,f3198,f3216]) ).
fof(f3225,definition,
( sQ335_spl
<=> sP79_prd ),
introduced(definition,[new_symbols(definition,[sQ335_spl])],[split_symbol_definition]) ).
fof(f3228,plain,
( sQ102_spl
| sQ335_spl
| ~ sQ333_spl ),
inference(split_clause,[status(thm)],[f952,f3207,f3225,f2017]) ).
fof(f3232,plain,
( ~ sQ335_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f956,f3207,f3225]) ).
fof(f3234,definition,
( sQ336_spl
<=> sP80_prd ),
introduced(definition,[new_symbols(definition,[sQ336_spl])],[split_symbol_definition]) ).
fof(f3237,plain,
( sQ38_spl
| sQ336_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f961,f3216,f3234,f1777]) ).
fof(f3239,plain,
( sQ41_spl
| sQ336_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f963,f3216,f3234,f1787]) ).
fof(f3241,plain,
( ~ sQ336_spl
| sQ334_spl ),
inference(split_clause,[status(thm)],[f965,f3216,f3234]) ).
fof(f3243,definition,
( sQ337_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f3246,plain,
( sQ102_spl
| sQ337_spl
| ~ sQ335_spl ),
inference(split_clause,[status(thm)],[f970,f3225,f3243,f2017]) ).
fof(f3250,plain,
( ~ sQ337_spl
| sQ335_spl ),
inference(split_clause,[status(thm)],[f974,f3225,f3243]) ).
fof(f3252,definition,
( sQ338_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f3255,plain,
( sQ38_spl
| sQ338_spl
| ~ sQ336_spl ),
inference(split_clause,[status(thm)],[f979,f3234,f3252,f1777]) ).
fof(f3259,plain,
( ~ sQ338_spl
| sQ336_spl ),
inference(split_clause,[status(thm)],[f983,f3234,f3252]) ).
fof(f3261,definition,
( sQ339_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f3264,plain,
( sQ102_spl
| sQ339_spl
| ~ sQ337_spl ),
inference(split_clause,[status(thm)],[f988,f3243,f3261,f2017]) ).
fof(f3268,plain,
( ~ sQ339_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f992,f3243,f3261]) ).
fof(f3270,definition,
( sQ340_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f3273,plain,
( sQ38_spl
| sQ340_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f997,f3252,f3270,f1777]) ).
fof(f3277,plain,
( ~ sQ340_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f1001,f3252,f3270]) ).
fof(f3279,definition,
( sQ341_spl
<=> sP85_prd ),
introduced(definition,[new_symbols(definition,[sQ341_spl])],[split_symbol_definition]) ).
fof(f3282,plain,
( sQ102_spl
| sQ341_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f1006,f3261,f3279,f2017]) ).
fof(f3286,plain,
( ~ sQ341_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f1010,f3261,f3279]) ).
fof(f3288,definition,
( sQ342_spl
<=> sP86_prd ),
introduced(definition,[new_symbols(definition,[sQ342_spl])],[split_symbol_definition]) ).
fof(f3291,plain,
( sQ34_spl
| sQ342_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f1015,f3270,f3288,f1764]) ).
fof(f3295,plain,
( ~ sQ342_spl
| sQ340_spl ),
inference(split_clause,[status(thm)],[f1019,f3270,f3288]) ).
fof(f3297,definition,
( sQ343_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f3300,plain,
( sQ98_spl
| sQ343_spl
| ~ sQ341_spl ),
inference(split_clause,[status(thm)],[f1024,f3279,f3297,f2004]) ).
fof(f3304,plain,
( ~ sQ343_spl
| sQ341_spl ),
inference(split_clause,[status(thm)],[f1028,f3279,f3297]) ).
fof(f3306,definition,
( sQ344_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f3309,plain,
( sQ34_spl
| sQ344_spl
| ~ sQ342_spl ),
inference(split_clause,[status(thm)],[f1033,f3288,f3306,f1764]) ).
fof(f3313,plain,
( ~ sQ344_spl
| sQ342_spl ),
inference(split_clause,[status(thm)],[f1037,f3288,f3306]) ).
fof(f3315,definition,
( sQ345_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f3318,plain,
( sQ98_spl
| sQ345_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f1042,f3297,f3315,f2004]) ).
fof(f3322,plain,
( ~ sQ345_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f1046,f3297,f3315]) ).
fof(f3324,definition,
( sQ346_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f3327,plain,
( sQ34_spl
| sQ346_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f1051,f3306,f3324,f1764]) ).
fof(f3331,plain,
( ~ sQ346_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f1055,f3306,f3324]) ).
fof(f3333,definition,
( sQ347_spl
<=> sP91_prd ),
introduced(definition,[new_symbols(definition,[sQ347_spl])],[split_symbol_definition]) ).
fof(f3336,plain,
( sQ98_spl
| sQ347_spl
| ~ sQ345_spl ),
inference(split_clause,[status(thm)],[f1060,f3315,f3333,f2004]) ).
fof(f3340,plain,
( ~ sQ347_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f1064,f3315,f3333]) ).
fof(f3342,definition,
( sQ348_spl
<=> sP92_prd ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f3345,plain,
( sQ34_spl
| sQ348_spl
| ~ sQ346_spl ),
inference(split_clause,[status(thm)],[f1069,f3324,f3342,f1764]) ).
fof(f3349,plain,
( ~ sQ348_spl
| sQ346_spl ),
inference(split_clause,[status(thm)],[f1073,f3324,f3342]) ).
fof(f3351,definition,
( sQ349_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f3354,plain,
( sQ98_spl
| sQ349_spl
| ~ sQ347_spl ),
inference(split_clause,[status(thm)],[f1078,f3333,f3351,f2004]) ).
fof(f3358,plain,
( ~ sQ349_spl
| sQ347_spl ),
inference(split_clause,[status(thm)],[f1082,f3333,f3351]) ).
fof(f3360,definition,
( sQ350_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f3363,plain,
( sQ29_spl
| sQ350_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1087,f3342,f3360,f1748]) ).
fof(f3364,plain,
( ~ sQ23_spl
| sQ350_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1088,f3342,f3360,f1728]) ).
fof(f3366,plain,
( ~ sQ63_spl
| sQ350_spl
| ~ sQ348_spl ),
inference(split_clause,[status(thm)],[f1090,f3342,f3360,f1858]) ).
fof(f3367,plain,
( ~ sQ350_spl
| sQ348_spl ),
inference(split_clause,[status(thm)],[f1091,f3342,f3360]) ).
fof(f3369,definition,
( sQ351_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f3372,plain,
( sQ93_spl
| sQ351_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f1096,f3351,f3369,f1988]) ).
fof(f3373,plain,
( ~ sQ87_spl
| sQ351_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f1097,f3351,f3369,f1968]) ).
fof(f3374,plain,
( sQ127_spl
| sQ351_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f1098,f3351,f3369,f2098]) ).
fof(f3376,plain,
( ~ sQ351_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f1100,f3351,f3369]) ).
fof(f3378,definition,
( sQ352_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f3381,plain,
( sQ29_spl
| sQ352_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f1105,f3360,f3378,f1748]) ).
fof(f3382,plain,
( ~ sQ23_spl
| sQ352_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f1106,f3360,f3378,f1728]) ).
fof(f3383,plain,
( sQ43_spl
| sQ352_spl
| ~ sQ350_spl ),
inference(split_clause,[status(thm)],[f1107,f3360,f3378,f1793]) ).
fof(f3385,plain,
( ~ sQ352_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f1109,f3360,f3378]) ).
fof(f3387,definition,
( sQ353_spl
<=> sP97_prd ),
introduced(definition,[new_symbols(definition,[sQ353_spl])],[split_symbol_definition]) ).
fof(f3390,plain,
( sQ93_spl
| sQ353_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1114,f3369,f3387,f1988]) ).
fof(f3391,plain,
( ~ sQ87_spl
| sQ353_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1115,f3369,f3387,f1968]) ).
fof(f3394,plain,
( ~ sQ353_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f1118,f3369,f3387]) ).
fof(f3396,definition,
( sQ354_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f3399,plain,
( sQ29_spl
| sQ354_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1123,f3378,f3396,f1748]) ).
fof(f3400,plain,
( ~ sQ23_spl
| sQ354_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1124,f3378,f3396,f1728]) ).
fof(f3401,plain,
( sQ23_spl
| sQ354_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1125,f3378,f3396,f1728]) ).
fof(f3403,plain,
( ~ sQ354_spl
| sQ352_spl ),
inference(split_clause,[status(thm)],[f1127,f3378,f3396]) ).
fof(f3405,definition,
( sQ355_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3408,plain,
( sQ93_spl
| sQ355_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1132,f3387,f3405,f1988]) ).
fof(f3409,plain,
( ~ sQ87_spl
| sQ355_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1133,f3387,f3405,f1968]) ).
fof(f3410,plain,
( sQ87_spl
| sQ355_spl
| ~ sQ353_spl ),
inference(split_clause,[status(thm)],[f1134,f3387,f3405,f1968]) ).
fof(f3412,plain,
( ~ sQ355_spl
| sQ353_spl ),
inference(split_clause,[status(thm)],[f1136,f3387,f3405]) ).
fof(f3414,definition,
( sQ356_spl
<=> sP100_prd ),
introduced(definition,[new_symbols(definition,[sQ356_spl])],[split_symbol_definition]) ).
fof(f3417,plain,
( sQ29_spl
| sQ356_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1141,f3396,f3414,f1748]) ).
fof(f3418,plain,
( ~ sQ23_spl
| sQ356_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1142,f3396,f3414,f1728]) ).
fof(f3420,plain,
( ~ sQ12_spl
| sQ356_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1144,f3396,f3414,f1693]) ).
fof(f3421,plain,
( ~ sQ356_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f1145,f3396,f3414]) ).
fof(f3423,definition,
( sQ357_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f3426,plain,
( sQ93_spl
| sQ357_spl
| ~ sQ355_spl ),
inference(split_clause,[status(thm)],[f1150,f3405,f3423,f1988]) ).
fof(f3427,plain,
( ~ sQ87_spl
| sQ357_spl
| ~ sQ355_spl ),
inference(split_clause,[status(thm)],[f1151,f3405,f3423,f1968]) ).
fof(f3430,plain,
( ~ sQ357_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1154,f3405,f3423]) ).
fof(f3432,definition,
( sQ358_spl
<=> sP102_prd ),
introduced(definition,[new_symbols(definition,[sQ358_spl])],[split_symbol_definition]) ).
fof(f3435,plain,
( sQ25_spl
| sQ358_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1159,f3414,f3432,f1735]) ).
fof(f3437,plain,
( sQ62_spl
| sQ358_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1161,f3414,f3432,f1855]) ).
fof(f3438,plain,
( ~ sQ59_spl
| sQ358_spl
| ~ sQ356_spl ),
inference(split_clause,[status(thm)],[f1162,f3414,f3432,f1845]) ).
fof(f3439,plain,
( ~ sQ358_spl
| sQ356_spl ),
inference(split_clause,[status(thm)],[f1163,f3414,f3432]) ).
fof(f3441,definition,
( sQ359_spl
<=> sP103_prd ),
introduced(definition,[new_symbols(definition,[sQ359_spl])],[split_symbol_definition]) ).
fof(f3444,plain,
( sQ89_spl
| sQ359_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1168,f3423,f3441,f1975]) ).
fof(f3446,plain,
( sQ126_spl
| sQ359_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1170,f3423,f3441,f2095]) ).
fof(f3447,plain,
( ~ sQ123_spl
| sQ359_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1171,f3423,f3441,f2085]) ).
fof(f3448,plain,
( ~ sQ359_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f1172,f3423,f3441]) ).
fof(f3450,definition,
( sQ360_spl
<=> sP104_prd ),
introduced(definition,[new_symbols(definition,[sQ360_spl])],[split_symbol_definition]) ).
fof(f3453,plain,
( sQ25_spl
| sQ360_spl
| ~ sQ358_spl ),
inference(split_clause,[status(thm)],[f1177,f3432,f3450,f1735]) ).
fof(f3456,plain,
( ~ sQ42_spl
| sQ360_spl
| ~ sQ358_spl ),
inference(split_clause,[status(thm)],[f1180,f3432,f3450,f1790]) ).
fof(f3457,plain,
( ~ sQ360_spl
| sQ358_spl ),
inference(split_clause,[status(thm)],[f1181,f3432,f3450]) ).
fof(f3459,definition,
( sQ361_spl
<=> sP105_prd ),
introduced(definition,[new_symbols(definition,[sQ361_spl])],[split_symbol_definition]) ).
fof(f3462,plain,
( sQ89_spl
| sQ361_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f1186,f3441,f3459,f1975]) ).
fof(f3465,plain,
( ~ sQ106_spl
| sQ361_spl
| ~ sQ359_spl ),
inference(split_clause,[status(thm)],[f1189,f3441,f3459,f2030]) ).
fof(f3466,plain,
( ~ sQ361_spl
| sQ359_spl ),
inference(split_clause,[status(thm)],[f1190,f3441,f3459]) ).
fof(f3468,definition,
( sQ362_spl
<=> sP106_prd ),
introduced(definition,[new_symbols(definition,[sQ362_spl])],[split_symbol_definition]) ).
fof(f3471,plain,
( sQ25_spl
| sQ362_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f1195,f3450,f3468,f1735]) ).
fof(f3473,plain,
( sQ22_spl
| sQ362_spl
| ~ sQ360_spl ),
inference(split_clause,[status(thm)],[f1197,f3450,f3468,f1725]) ).
fof(f3475,plain,
( ~ sQ362_spl
| sQ360_spl ),
inference(split_clause,[status(thm)],[f1199,f3450,f3468]) ).
fof(f3477,definition,
( sQ363_spl
<=> sP107_prd ),
introduced(definition,[new_symbols(definition,[sQ363_spl])],[split_symbol_definition]) ).
fof(f3480,plain,
( sQ89_spl
| sQ363_spl
| ~ sQ361_spl ),
inference(split_clause,[status(thm)],[f1204,f3459,f3477,f1975]) ).
fof(f3482,plain,
( sQ86_spl
| sQ363_spl
| ~ sQ361_spl ),
inference(split_clause,[status(thm)],[f1206,f3459,f3477,f1965]) ).
fof(f3483,plain,
( ~ sQ89_spl
| sQ363_spl
| ~ sQ361_spl ),
inference(split_clause,[status(thm)],[f1207,f3459,f3477,f1975]) ).
fof(f3484,plain,
( ~ sQ363_spl
| sQ361_spl ),
inference(split_clause,[status(thm)],[f1208,f3459,f3477]) ).
fof(f3486,definition,
( sQ364_spl
<=> sP108_prd ),
introduced(definition,[new_symbols(definition,[sQ364_spl])],[split_symbol_definition]) ).
fof(f3489,plain,
( sQ25_spl
| sQ364_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f1213,f3468,f3486,f1735]) ).
fof(f3491,plain,
( sQ2_spl
| sQ364_spl
| ~ sQ362_spl ),
inference(split_clause,[status(thm)],[f1215,f3468,f3486,f1660]) ).
fof(f3493,plain,
( ~ sQ364_spl
| sQ362_spl ),
inference(split_clause,[status(thm)],[f1217,f3468,f3486]) ).
fof(f3495,definition,
( sQ365_spl
<=> sP109_prd ),
introduced(definition,[new_symbols(definition,[sQ365_spl])],[split_symbol_definition]) ).
fof(f3498,plain,
( sQ89_spl
| sQ365_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f1222,f3477,f3495,f1975]) ).
fof(f3500,plain,
( sQ66_spl
| sQ365_spl
| ~ sQ363_spl ),
inference(split_clause,[status(thm)],[f1224,f3477,f3495,f1900]) ).
fof(f3502,plain,
( ~ sQ365_spl
| sQ363_spl ),
inference(split_clause,[status(thm)],[f1226,f3477,f3495]) ).
fof(f3504,definition,
( sQ366_spl
<=> sP110_prd ),
introduced(definition,[new_symbols(definition,[sQ366_spl])],[split_symbol_definition]) ).
fof(f3507,plain,
( sQ21_spl
| sQ366_spl
| ~ sQ364_spl ),
inference(split_clause,[status(thm)],[f1231,f3486,f3504,f1722]) ).
fof(f3508,plain,
( ~ sQ21_spl
| sQ366_spl
| ~ sQ364_spl ),
inference(split_clause,[status(thm)],[f1232,f3486,f3504,f1722]) ).
fof(f3509,plain,
( sQ61_spl
| sQ366_spl
| ~ sQ364_spl ),
inference(split_clause,[status(thm)],[f1233,f3486,f3504,f1852]) ).
fof(f3511,plain,
( ~ sQ366_spl
| sQ364_spl ),
inference(split_clause,[status(thm)],[f1235,f3486,f3504]) ).
fof(f3513,definition,
( sQ367_spl
<=> sP111_prd ),
introduced(definition,[new_symbols(definition,[sQ367_spl])],[split_symbol_definition]) ).
fof(f3516,plain,
( sQ85_spl
| sQ367_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f1240,f3495,f3513,f1962]) ).
fof(f3517,plain,
( ~ sQ85_spl
| sQ367_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f1241,f3495,f3513,f1962]) ).
fof(f3519,plain,
( ~ sQ119_spl
| sQ367_spl
| ~ sQ365_spl ),
inference(split_clause,[status(thm)],[f1243,f3495,f3513,f2072]) ).
fof(f3520,plain,
( ~ sQ367_spl
| sQ365_spl ),
inference(split_clause,[status(thm)],[f1244,f3495,f3513]) ).
fof(f3522,definition,
( sQ368_spl
<=> sP112_prd ),
introduced(definition,[new_symbols(definition,[sQ368_spl])],[split_symbol_definition]) ).
fof(f3525,plain,
( sQ21_spl
| sQ368_spl
| ~ sQ366_spl ),
inference(split_clause,[status(thm)],[f1249,f3504,f3522,f1722]) ).
fof(f3526,plain,
( ~ sQ21_spl
| sQ368_spl
| ~ sQ366_spl ),
inference(split_clause,[status(thm)],[f1250,f3504,f3522,f1722]) ).
fof(f3527,plain,
( sQ41_spl
| sQ368_spl
| ~ sQ366_spl ),
inference(split_clause,[status(thm)],[f1251,f3504,f3522,f1787]) ).
fof(f3529,plain,
( ~ sQ368_spl
| sQ366_spl ),
inference(split_clause,[status(thm)],[f1253,f3504,f3522]) ).
fof(f3531,definition,
( sQ369_spl
<=> sP113_prd ),
introduced(definition,[new_symbols(definition,[sQ369_spl])],[split_symbol_definition]) ).
fof(f3534,plain,
( sQ85_spl
| sQ369_spl
| ~ sQ367_spl ),
inference(split_clause,[status(thm)],[f1258,f3513,f3531,f1962]) ).
fof(f3535,plain,
( ~ sQ85_spl
| sQ369_spl
| ~ sQ367_spl ),
inference(split_clause,[status(thm)],[f1259,f3513,f3531,f1962]) ).
fof(f3536,plain,
( sQ105_spl
| sQ369_spl
| ~ sQ367_spl ),
inference(split_clause,[status(thm)],[f1260,f3513,f3531,f2027]) ).
fof(f3538,plain,
( ~ sQ369_spl
| sQ367_spl ),
inference(split_clause,[status(thm)],[f1262,f3513,f3531]) ).
fof(f3540,definition,
( sQ370_spl
<=> sP114_prd ),
introduced(definition,[new_symbols(definition,[sQ370_spl])],[split_symbol_definition]) ).
fof(f3543,plain,
( sQ21_spl
| sQ370_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f1267,f3522,f3540,f1722]) ).
fof(f3544,plain,
( ~ sQ21_spl
| sQ370_spl
| ~ sQ368_spl ),
inference(split_clause,[status(thm)],[f1268,f3522,f3540,f1722]) ).
fof(f3547,plain,
( ~ sQ370_spl
| sQ368_spl ),
inference(split_clause,[status(thm)],[f1271,f3522,f3540]) ).
fof(f3549,definition,
( sQ371_spl
<=> sP115_prd ),
introduced(definition,[new_symbols(definition,[sQ371_spl])],[split_symbol_definition]) ).
fof(f3552,plain,
( sQ85_spl
| sQ371_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f1276,f3531,f3549,f1962]) ).
fof(f3553,plain,
( ~ sQ85_spl
| sQ371_spl
| ~ sQ369_spl ),
inference(split_clause,[status(thm)],[f1277,f3531,f3549,f1962]) ).
fof(f3556,plain,
( ~ sQ371_spl
| sQ369_spl ),
inference(split_clause,[status(thm)],[f1280,f3531,f3549]) ).
fof(f3558,definition,
( sQ372_spl
<=> sP116_prd ),
introduced(definition,[new_symbols(definition,[sQ372_spl])],[split_symbol_definition]) ).
fof(f3561,plain,
( sQ21_spl
| sQ372_spl
| ~ sQ370_spl ),
inference(split_clause,[status(thm)],[f1285,f3540,f3558,f1722]) ).
fof(f3562,plain,
( ~ sQ21_spl
| sQ372_spl
| ~ sQ370_spl ),
inference(split_clause,[status(thm)],[f1286,f3540,f3558,f1722]) ).
fof(f3565,plain,
( ~ sQ372_spl
| sQ370_spl ),
inference(split_clause,[status(thm)],[f1289,f3540,f3558]) ).
fof(f3567,definition,
( sQ373_spl
<=> sP117_prd ),
introduced(definition,[new_symbols(definition,[sQ373_spl])],[split_symbol_definition]) ).
fof(f3570,plain,
( sQ85_spl
| sQ373_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f1294,f3549,f3567,f1962]) ).
fof(f3571,plain,
( ~ sQ85_spl
| sQ373_spl
| ~ sQ371_spl ),
inference(split_clause,[status(thm)],[f1295,f3549,f3567,f1962]) ).
fof(f3574,plain,
( ~ sQ373_spl
| sQ371_spl ),
inference(split_clause,[status(thm)],[f1298,f3549,f3567]) ).
fof(f3576,definition,
( sQ374_spl
<=> sP118_prd ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f3579,plain,
( sQ17_spl
| sQ374_spl
| ~ sQ372_spl ),
inference(split_clause,[status(thm)],[f1303,f3558,f3576,f1709]) ).
fof(f3583,plain,
( ~ sQ374_spl
| sQ372_spl ),
inference(split_clause,[status(thm)],[f1307,f3558,f3576]) ).
fof(f3585,definition,
( sQ375_spl
<=> sP119_prd ),
introduced(definition,[new_symbols(definition,[sQ375_spl])],[split_symbol_definition]) ).
fof(f3588,plain,
( sQ81_spl
| sQ375_spl
| ~ sQ373_spl ),
inference(split_clause,[status(thm)],[f1312,f3567,f3585,f1949]) ).
fof(f3592,plain,
( ~ sQ375_spl
| sQ373_spl ),
inference(split_clause,[status(thm)],[f1316,f3567,f3585]) ).
fof(f3594,definition,
( sQ376_spl
<=> sP120_prd ),
introduced(definition,[new_symbols(definition,[sQ376_spl])],[split_symbol_definition]) ).
fof(f3597,plain,
( sQ17_spl
| sQ376_spl
| ~ sQ374_spl ),
inference(split_clause,[status(thm)],[f1321,f3576,f3594,f1709]) ).
fof(f3601,plain,
( ~ sQ376_spl
| sQ374_spl ),
inference(split_clause,[status(thm)],[f1325,f3576,f3594]) ).
fof(f3603,definition,
( sQ377_spl
<=> sP121_prd ),
introduced(definition,[new_symbols(definition,[sQ377_spl])],[split_symbol_definition]) ).
fof(f3606,plain,
( sQ81_spl
| sQ377_spl
| ~ sQ375_spl ),
inference(split_clause,[status(thm)],[f1330,f3585,f3603,f1949]) ).
fof(f3610,plain,
( ~ sQ377_spl
| sQ375_spl ),
inference(split_clause,[status(thm)],[f1334,f3585,f3603]) ).
fof(f3612,definition,
( sQ378_spl
<=> sP122_prd ),
introduced(definition,[new_symbols(definition,[sQ378_spl])],[split_symbol_definition]) ).
fof(f3615,plain,
( sQ17_spl
| sQ378_spl
| ~ sQ376_spl ),
inference(split_clause,[status(thm)],[f1339,f3594,f3612,f1709]) ).
fof(f3619,plain,
( ~ sQ378_spl
| sQ376_spl ),
inference(split_clause,[status(thm)],[f1343,f3594,f3612]) ).
fof(f3621,definition,
( sQ379_spl
<=> sP123_prd ),
introduced(definition,[new_symbols(definition,[sQ379_spl])],[split_symbol_definition]) ).
fof(f3624,plain,
( sQ81_spl
| sQ379_spl
| ~ sQ377_spl ),
inference(split_clause,[status(thm)],[f1348,f3603,f3621,f1949]) ).
fof(f3628,plain,
( ~ sQ379_spl
| sQ377_spl ),
inference(split_clause,[status(thm)],[f1352,f3603,f3621]) ).
fof(f3630,definition,
( sQ380_spl
<=> sP124_prd ),
introduced(definition,[new_symbols(definition,[sQ380_spl])],[split_symbol_definition]) ).
fof(f3633,plain,
( sQ17_spl
| sQ380_spl
| ~ sQ378_spl ),
inference(split_clause,[status(thm)],[f1357,f3612,f3630,f1709]) ).
fof(f3637,plain,
( ~ sQ380_spl
| sQ378_spl ),
inference(split_clause,[status(thm)],[f1361,f3612,f3630]) ).
fof(f3639,definition,
( sQ381_spl
<=> sP125_prd ),
introduced(definition,[new_symbols(definition,[sQ381_spl])],[split_symbol_definition]) ).
fof(f3642,plain,
( sQ81_spl
| sQ381_spl
| ~ sQ379_spl ),
inference(split_clause,[status(thm)],[f1366,f3621,f3639,f1949]) ).
fof(f3646,plain,
( ~ sQ381_spl
| sQ379_spl ),
inference(split_clause,[status(thm)],[f1370,f3621,f3639]) ).
fof(f3648,definition,
( sQ382_spl
<=> sP126_prd ),
introduced(definition,[new_symbols(definition,[sQ382_spl])],[split_symbol_definition]) ).
fof(f3651,plain,
( sQ12_spl
| sQ382_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1375,f3630,f3648,f1693]) ).
fof(f3654,plain,
( ~ sQ63_spl
| sQ382_spl
| ~ sQ380_spl ),
inference(split_clause,[status(thm)],[f1378,f3630,f3648,f1858]) ).
fof(f3655,plain,
( ~ sQ382_spl
| sQ380_spl ),
inference(split_clause,[status(thm)],[f1379,f3630,f3648]) ).
fof(f3657,definition,
( sQ383_spl
<=> sP127_prd ),
introduced(definition,[new_symbols(definition,[sQ383_spl])],[split_symbol_definition]) ).
fof(f3660,plain,
( sQ76_spl
| sQ383_spl
| ~ sQ381_spl ),
inference(split_clause,[status(thm)],[f1384,f3639,f3657,f1933]) ).
fof(f3662,plain,
( sQ127_spl
| sQ383_spl
| ~ sQ381_spl ),
inference(split_clause,[status(thm)],[f1386,f3639,f3657,f2098]) ).
fof(f3663,plain,
( ~ sQ127_spl
| sQ383_spl
| ~ sQ381_spl ),
inference(split_clause,[status(thm)],[f1387,f3639,f3657,f2098]) ).
fof(f3664,plain,
( ~ sQ383_spl
| sQ381_spl ),
inference(split_clause,[status(thm)],[f1388,f3639,f3657]) ).
fof(f3666,definition,
( sQ384_spl
<=> sP128_prd ),
introduced(definition,[new_symbols(definition,[sQ384_spl])],[split_symbol_definition]) ).
fof(f3669,plain,
( sQ12_spl
| sQ384_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f1393,f3648,f3666,f1693]) ).
fof(f3671,plain,
( sQ43_spl
| sQ384_spl
| ~ sQ382_spl ),
inference(split_clause,[status(thm)],[f1395,f3648,f3666,f1793]) ).
fof(f3673,plain,
( ~ sQ384_spl
| sQ382_spl ),
inference(split_clause,[status(thm)],[f1397,f3648,f3666]) ).
fof(f3675,definition,
( sQ385_spl
<=> sP129_prd ),
introduced(definition,[new_symbols(definition,[sQ385_spl])],[split_symbol_definition]) ).
fof(f3678,plain,
( sQ76_spl
| sQ385_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1402,f3657,f3675,f1933]) ).
fof(f3681,plain,
( ~ sQ110_spl
| sQ385_spl
| ~ sQ383_spl ),
inference(split_clause,[status(thm)],[f1405,f3657,f3675,f2043]) ).
fof(f3682,plain,
( ~ sQ385_spl
| sQ383_spl ),
inference(split_clause,[status(thm)],[f1406,f3657,f3675]) ).
fof(f3684,definition,
( sQ386_spl
<=> sP130_prd ),
introduced(definition,[new_symbols(definition,[sQ386_spl])],[split_symbol_definition]) ).
fof(f3687,plain,
( sQ12_spl
| sQ386_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f1411,f3666,f3684,f1693]) ).
fof(f3689,plain,
( sQ23_spl
| sQ386_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f1413,f3666,f3684,f1728]) ).
fof(f3690,plain,
( ~ sQ29_spl
| sQ386_spl
| ~ sQ384_spl ),
inference(split_clause,[status(thm)],[f1414,f3666,f3684,f1748]) ).
fof(f3691,plain,
( ~ sQ386_spl
| sQ384_spl ),
inference(split_clause,[status(thm)],[f1415,f3666,f3684]) ).
fof(f3693,definition,
( sQ387_spl
<=> sP131_prd ),
introduced(definition,[new_symbols(definition,[sQ387_spl])],[split_symbol_definition]) ).
fof(f3696,plain,
( sQ76_spl
| sQ387_spl
| ~ sQ385_spl ),
inference(split_clause,[status(thm)],[f1420,f3675,f3693,f1933]) ).
fof(f3698,plain,
( sQ87_spl
| sQ387_spl
| ~ sQ385_spl ),
inference(split_clause,[status(thm)],[f1422,f3675,f3693,f1968]) ).
fof(f3699,plain,
( ~ sQ93_spl
| sQ387_spl
| ~ sQ385_spl ),
inference(split_clause,[status(thm)],[f1423,f3675,f3693,f1988]) ).
fof(f3700,plain,
( ~ sQ387_spl
| sQ385_spl ),
inference(split_clause,[status(thm)],[f1424,f3675,f3693]) ).
fof(f3702,definition,
( sQ388_spl
<=> sP132_prd ),
introduced(definition,[new_symbols(definition,[sQ388_spl])],[split_symbol_definition]) ).
fof(f3705,plain,
( sQ12_spl
| sQ388_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1429,f3684,f3702,f1693]) ).
fof(f3708,plain,
( ~ sQ12_spl
| sQ388_spl
| ~ sQ386_spl ),
inference(split_clause,[status(thm)],[f1432,f3684,f3702,f1693]) ).
fof(f3709,plain,
( ~ sQ388_spl
| sQ386_spl ),
inference(split_clause,[status(thm)],[f1433,f3684,f3702]) ).
fof(f3711,definition,
( sQ389_spl
<=> sP133_prd ),
introduced(definition,[new_symbols(definition,[sQ389_spl])],[split_symbol_definition]) ).
fof(f3714,plain,
( sQ76_spl
| sQ389_spl
| ~ sQ387_spl ),
inference(split_clause,[status(thm)],[f1438,f3693,f3711,f1933]) ).
fof(f3717,plain,
( ~ sQ76_spl
| sQ389_spl
| ~ sQ387_spl ),
inference(split_clause,[status(thm)],[f1441,f3693,f3711,f1933]) ).
fof(f3718,plain,
( ~ sQ389_spl
| sQ387_spl ),
inference(split_clause,[status(thm)],[f1442,f3693,f3711]) ).
fof(f3720,definition,
( sQ390_spl
<=> sP134_prd ),
introduced(definition,[new_symbols(definition,[sQ390_spl])],[split_symbol_definition]) ).
fof(f3723,plain,
( sQ8_spl
| sQ390_spl
| ~ sQ388_spl ),
inference(split_clause,[status(thm)],[f1447,f3702,f3720,f1680]) ).
fof(f3725,plain,
( sQ62_spl
| sQ390_spl
| ~ sQ388_spl ),
inference(split_clause,[status(thm)],[f1449,f3702,f3720,f1855]) ).
fof(f3726,plain,
( ~ sQ59_spl
| sQ390_spl
| ~ sQ388_spl ),
inference(split_clause,[status(thm)],[f1450,f3702,f3720,f1845]) ).
fof(f3727,plain,
( ~ sQ390_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f1451,f3702,f3720]) ).
fof(f3728,plain,
( sQ59_spl
| ~ sQ62_spl
| sQ2_spl
| ~ sQ8_spl
| sQ388_spl ),
inference(split_clause,[status(thm)],[f1452,f3702,f1680,f1660,f1855,f1845]) ).
fof(f3729,definition,
( sQ391_spl
<=> sP135_prd ),
introduced(definition,[new_symbols(definition,[sQ391_spl])],[split_symbol_definition]) ).
fof(f3732,plain,
( sQ72_spl
| sQ391_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1456,f3711,f3729,f1920]) ).
fof(f3734,plain,
( sQ126_spl
| sQ391_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1458,f3711,f3729,f2095]) ).
fof(f3735,plain,
( ~ sQ123_spl
| sQ391_spl
| ~ sQ389_spl ),
inference(split_clause,[status(thm)],[f1459,f3711,f3729,f2085]) ).
fof(f3736,plain,
( ~ sQ391_spl
| sQ389_spl ),
inference(split_clause,[status(thm)],[f1460,f3711,f3729]) ).
fof(f3738,definition,
( sQ392_spl
<=> sP136_prd ),
introduced(definition,[new_symbols(definition,[sQ392_spl])],[split_symbol_definition]) ).
fof(f3741,plain,
( sQ8_spl
| sQ392_spl
| ~ sQ390_spl ),
inference(split_clause,[status(thm)],[f1465,f3720,f3738,f1680]) ).
fof(f3743,plain,
( sQ42_spl
| sQ392_spl
| ~ sQ390_spl ),
inference(split_clause,[status(thm)],[f1467,f3720,f3738,f1790]) ).
fof(f3744,plain,
( ~ sQ42_spl
| sQ392_spl
| ~ sQ390_spl ),
inference(split_clause,[status(thm)],[f1468,f3720,f3738,f1790]) ).
fof(f3747,definition,
( sQ393_spl
<=> sP137_prd ),
introduced(definition,[new_symbols(definition,[sQ393_spl])],[split_symbol_definition]) ).
fof(f3750,plain,
( sQ72_spl
| sQ393_spl
| ~ sQ391_spl ),
inference(split_clause,[status(thm)],[f1474,f3729,f3747,f1920]) ).
fof(f3753,plain,
( ~ sQ106_spl
| sQ393_spl
| ~ sQ391_spl ),
inference(split_clause,[status(thm)],[f1477,f3729,f3747,f2030]) ).
fof(f3754,plain,
( ~ sQ393_spl
| sQ391_spl ),
inference(split_clause,[status(thm)],[f1478,f3729,f3747]) ).
fof(f3756,definition,
( sQ394_spl
<=> sP138_prd ),
introduced(definition,[new_symbols(definition,[sQ394_spl])],[split_symbol_definition]) ).
fof(f3761,plain,
( sQ22_spl
| sQ394_spl
| ~ sQ392_spl ),
inference(split_clause,[status(thm)],[f1485,f3738,f3756,f1725]) ).
fof(f3765,definition,
( sQ395_spl
<=> sP139_prd ),
introduced(definition,[new_symbols(definition,[sQ395_spl])],[split_symbol_definition]) ).
fof(f3768,plain,
( sQ72_spl
| sQ395_spl
| ~ sQ393_spl ),
inference(split_clause,[status(thm)],[f1492,f3747,f3765,f1920]) ).
fof(f3770,plain,
( sQ86_spl
| sQ395_spl
| ~ sQ393_spl ),
inference(split_clause,[status(thm)],[f1494,f3747,f3765,f1965]) ).
fof(f3771,plain,
( ~ sQ89_spl
| sQ395_spl
| ~ sQ393_spl ),
inference(split_clause,[status(thm)],[f1495,f3747,f3765,f1975]) ).
fof(f3774,definition,
( sQ396_spl
<=> sP140_prd ),
introduced(definition,[new_symbols(definition,[sQ396_spl])],[split_symbol_definition]) ).
fof(f3779,plain,
( sQ2_spl
| sQ396_spl
| ~ sQ394_spl ),
inference(split_clause,[status(thm)],[f1503,f3756,f3774,f1660]) ).
fof(f3783,definition,
( sQ397_spl
<=> sP141_prd ),
introduced(definition,[new_symbols(definition,[sQ397_spl])],[split_symbol_definition]) ).
fof(f3788,plain,
( sQ66_spl
| sQ397_spl
| ~ sQ395_spl ),
inference(split_clause,[status(thm)],[f1512,f3765,f3783,f1900]) ).
fof(f3792,definition,
( sQ398_spl
<=> sP142_prd ),
introduced(definition,[new_symbols(definition,[sQ398_spl])],[split_symbol_definition]) ).
fof(f3795,plain,
( sQ4_spl
| sQ398_spl
| ~ sQ396_spl ),
inference(split_clause,[status(thm)],[f1519,f3774,f3792,f1667]) ).
fof(f3801,definition,
( sQ399_spl
<=> sP143_prd ),
introduced(definition,[new_symbols(definition,[sQ399_spl])],[split_symbol_definition]) ).
fof(f3804,plain,
( sQ68_spl
| sQ399_spl
| ~ sQ397_spl ),
inference(split_clause,[status(thm)],[f1528,f3783,f3801,f1907]) ).
fof(f3810,definition,
( sQ400_spl
<=> sP144_prd ),
introduced(definition,[new_symbols(definition,[sQ400_spl])],[split_symbol_definition]) ).
fof(f3813,plain,
( sQ4_spl
| sQ400_spl
| ~ sQ398_spl ),
inference(split_clause,[status(thm)],[f1537,f3792,f3810,f1667]) ).
fof(f3819,definition,
( sQ401_spl
<=> sP145_prd ),
introduced(definition,[new_symbols(definition,[sQ401_spl])],[split_symbol_definition]) ).
fof(f3822,plain,
( sQ68_spl
| sQ401_spl
| ~ sQ399_spl ),
inference(split_clause,[status(thm)],[f1546,f3801,f3819,f1907]) ).
fof(f3828,definition,
( sQ402_spl
<=> sP146_prd ),
introduced(definition,[new_symbols(definition,[sQ402_spl])],[split_symbol_definition]) ).
fof(f3831,plain,
( sQ4_spl
| sQ402_spl
| ~ sQ400_spl ),
inference(split_clause,[status(thm)],[f1555,f3810,f3828,f1667]) ).
fof(f3837,definition,
( sQ403_spl
<=> sP147_prd ),
introduced(definition,[new_symbols(definition,[sQ403_spl])],[split_symbol_definition]) ).
fof(f3840,plain,
( sQ68_spl
| sQ403_spl
| ~ sQ401_spl ),
inference(split_clause,[status(thm)],[f1564,f3819,f3837,f1907]) ).
fof(f3846,definition,
( sQ404_spl
<=> sP148_prd ),
introduced(definition,[new_symbols(definition,[sQ404_spl])],[split_symbol_definition]) ).
fof(f3849,plain,
( sQ4_spl
| sQ404_spl
| ~ sQ402_spl ),
inference(split_clause,[status(thm)],[f1573,f3828,f3846,f1667]) ).
fof(f3855,definition,
( sQ405_spl
<=> sP149_prd ),
introduced(definition,[new_symbols(definition,[sQ405_spl])],[split_symbol_definition]) ).
fof(f3858,plain,
( sQ68_spl
| sQ405_spl
| ~ sQ403_spl ),
inference(split_clause,[status(thm)],[f1582,f3837,f3855,f1907]) ).
fof(f3864,definition,
( sQ406_spl
<=> sP150_prd ),
introduced(definition,[new_symbols(definition,[sQ406_spl])],[split_symbol_definition]) ).
fof(f3867,plain,
( sQ0_spl
| sQ406_spl
| ~ sQ404_spl ),
inference(split_clause,[status(thm)],[f1591,f3846,f3864,f1654]) ).
fof(f3873,definition,
( sQ407_spl
<=> sP151_prd ),
introduced(definition,[new_symbols(definition,[sQ407_spl])],[split_symbol_definition]) ).
fof(f3876,plain,
( sQ64_spl
| sQ407_spl
| ~ sQ405_spl ),
inference(split_clause,[status(thm)],[f1600,f3855,f3873,f1894]) ).
fof(f3882,definition,
( sQ408_spl
<=> sP152_prd ),
introduced(definition,[new_symbols(definition,[sQ408_spl])],[split_symbol_definition]) ).
fof(f3885,plain,
( sQ0_spl
| sQ408_spl
| ~ sQ406_spl ),
inference(split_clause,[status(thm)],[f1609,f3864,f3882,f1654]) ).
fof(f3891,definition,
( sQ409_spl
<=> sP153_prd ),
introduced(definition,[new_symbols(definition,[sQ409_spl])],[split_symbol_definition]) ).
fof(f3894,plain,
( sQ64_spl
| sQ409_spl
| ~ sQ407_spl ),
inference(split_clause,[status(thm)],[f1618,f3873,f3891,f1894]) ).
fof(f3900,definition,
( sQ410_spl
<=> sP154_prd ),
introduced(definition,[new_symbols(definition,[sQ410_spl])],[split_symbol_definition]) ).
fof(f3903,plain,
( sQ0_spl
| sQ410_spl
| ~ sQ408_spl ),
inference(split_clause,[status(thm)],[f1627,f3882,f3900,f1654]) ).
fof(f3909,definition,
( sQ411_spl
<=> sP155_prd ),
introduced(definition,[new_symbols(definition,[sQ411_spl])],[split_symbol_definition]) ).
fof(f3912,plain,
( sQ64_spl
| sQ411_spl
| ~ sQ409_spl ),
inference(split_clause,[status(thm)],[f1636,f3891,f3909,f1894]) ).
fof(f3918,plain,
( sQ0_spl
| ~ sQ410_spl ),
inference(split_clause,[status(thm)],[f1643,f3900,f1654]) ).
fof(f3923,plain,
( sQ64_spl
| ~ sQ411_spl ),
inference(split_clause,[status(thm)],[f1649,f3909,f1894]) ).
fof(f3928,plain,
e11 != op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f264,f142]) ).
fof(f3929,plain,
e11 != op1(e10,e12),
inference(backward_demodulation,[status(thm)],[f264,f141]) ).
fof(f3930,plain,
e11 != op1(e10,e11),
inference(backward_demodulation,[status(thm)],[f264,f140]) ).
fof(f3931,plain,
e11 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f264,f118]) ).
fof(f3933,plain,
e11 != op1(e11,e10),
inference(backward_demodulation,[status(thm)],[f264,f116]) ).
fof(f3934,plain,
e12 != op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f3939,f144]) ).
fof(f3935,plain,
e12 != op1(e10,e12),
inference(backward_demodulation,[status(thm)],[f3939,f143]) ).
fof(f3938,plain,
e12 != op1(e11,e11),
inference(backward_demodulation,[status(thm)],[f3939,f122]) ).
fof(f3939,plain,
e12 = op1(e10,e11),
inference(forward_demodulation,[status(thm)],[f264,f265]) ).
fof(f3940,plain,
e13 = op1(op1(e10,e11),e10),
inference(forward_demodulation,[status(thm)],[f264,f266]) ).
fof(f3942,plain,
e13 != op1(e12,e12),
inference(backward_demodulation,[status(thm)],[f3946,f153]) ).
fof(f3945,plain,
op1(e11,e10) != e13,
inference(backward_demodulation,[status(thm)],[f3946,f119]) ).
fof(f3946,plain,
e13 = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f3939,f3940]) ).
fof(f3947,plain,
e21 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f267,f190]) ).
fof(f3948,plain,
e21 != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f267,f189]) ).
fof(f3949,plain,
e21 != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f267,f188]) ).
fof(f3952,plain,
e21 != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f267,f164]) ).
fof(f3953,plain,
e22 != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f3958,f192]) ).
fof(f3954,plain,
e22 != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f3958,f191]) ).
fof(f3955,plain,
e22 != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f3958,f172]) ).
fof(f3956,plain,
e22 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f3958,f171]) ).
fof(f3958,plain,
e22 = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f267,f268]) ).
fof(f3959,plain,
e23 = op2(op2(e20,e21),e20),
inference(forward_demodulation,[status(thm)],[f267,f269]) ).
fof(f3962,plain,
e23 != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f3965,f200]) ).
fof(f3963,plain,
e23 != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f3965,f169]) ).
fof(f3964,plain,
op2(e21,e20) != e23,
inference(backward_demodulation,[status(thm)],[f3965,f167]) ).
fof(f3965,plain,
e23 = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f3958,f3959]) ).
fof(f3966,plain,
h1(e11) = e21,
inference(forward_demodulation,[status(thm)],[f267,f271]) ).
fof(f3967,plain,
h1(e12) = op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f267,f272]) ).
fof(f3968,plain,
h1(e12) = e22,
inference(forward_demodulation,[status(thm)],[f3958,f3967]) ).
fof(f3969,plain,
h1(e13) = op2(op2(e20,e21),e20),
inference(forward_demodulation,[status(thm)],[f267,f273]) ).
fof(f3970,plain,
h1(e13) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f3958,f3969]) ).
fof(f3971,plain,
h1(e13) = e23,
inference(forward_demodulation,[status(thm)],[f3965,f3970]) ).
fof(f3972,plain,
h2(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f275,f198]) ).
fof(f3974,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[status(thm)],[f275,f194]) ).
fof(f3977,plain,
h2(e12) = op2(e21,h2(e11)),
inference(forward_demodulation,[status(thm)],[f275,f276]) ).
fof(f3978,plain,
h2(e13) = op2(op2(e21,h2(e11)),e21),
inference(forward_demodulation,[status(thm)],[f275,f277]) ).
fof(f3979,plain,
h2(e13) = op2(h2(e12),e21),
inference(forward_demodulation,[status(thm)],[f3977,f3978]) ).
fof(f3980,plain,
h3(e11) != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f279,f205]) ).
fof(f3981,plain,
op2(e22,e21) != h3(e11),
inference(backward_demodulation,[status(thm)],[f279,f203]) ).
fof(f3983,plain,
op2(e21,e22) != h3(e11),
inference(backward_demodulation,[status(thm)],[f279,f179]) ).
fof(f3985,plain,
h3(e12) = op2(e22,h3(e11)),
inference(forward_demodulation,[status(thm)],[f279,f280]) ).
fof(f3986,plain,
h3(e13) = op2(op2(e22,h3(e11)),e22),
inference(forward_demodulation,[status(thm)],[f279,f281]) ).
fof(f3987,plain,
h3(e13) = op2(h3(e12),e22),
inference(forward_demodulation,[status(thm)],[f3985,f3986]) ).
fof(f3988,plain,
op2(e23,e22) != h4(e11),
inference(backward_demodulation,[status(thm)],[f283,f211]) ).
fof(f3989,plain,
op2(e23,e21) != h4(e11),
inference(backward_demodulation,[status(thm)],[f283,f210]) ).
fof(f3990,plain,
op2(e23,e20) != h4(e11),
inference(backward_demodulation,[status(thm)],[f283,f208]) ).
fof(f3994,plain,
h4(e12) = op2(e23,h4(e11)),
inference(forward_demodulation,[status(thm)],[f283,f284]) ).
fof(f3995,plain,
h4(e13) = op2(op2(e23,h4(e11)),e23),
inference(forward_demodulation,[status(thm)],[f283,f285]) ).
fof(f3996,plain,
h4(e13) = op2(h4(e12),e23),
inference(forward_demodulation,[status(thm)],[f3994,f3995]) ).
fof(f3997,plain,
( sQ213_spl
| h4(op1(e13,e10)) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f2421]) ).
fof(f3998,plain,
( sQ209_spl
| h4(e13) != op2(h4(e12),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3946,f2409]) ).
fof(f3999,plain,
( sQ209_spl
| h4(e13) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f3998]) ).
fof(f4000,plain,
( sQ209_spl
| h4(e13) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f3996,f3999]) ).
fof(f4001,plain,
( sQ209_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4000]) ).
fof(f4002,plain,
sQ209_spl,
inference(contradiction_clause,[status(thm)],[f4001]) ).
fof(f4003,plain,
( sQ205_spl
| h4(op1(e11,e10)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f2397]) ).
fof(f4004,plain,
( sQ204_spl
| h4(op1(e10,e13)) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f282,f2394]) ).
fof(f4005,plain,
( sQ203_spl
| h4(op1(e10,e12)) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f282,f2391]) ).
fof(f4006,plain,
( sQ202_spl
| h4(e12) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f3939,f2388]) ).
fof(f4007,plain,
( sQ202_spl
| h4(e12) != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f282,f4006]) ).
fof(f4008,plain,
( sQ202_spl
| h4(e12) != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f3994,f4007]) ).
fof(f4009,plain,
( sQ202_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4008]) ).
fof(f4010,plain,
sQ202_spl,
inference(contradiction_clause,[status(thm)],[f4009]) ).
fof(f4011,plain,
( sQ201_spl
| h4(e11) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f264,f2385]) ).
fof(f4012,plain,
( sQ201_spl
| h4(e11) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f4011]) ).
fof(f4013,plain,
( sQ201_spl
| h4(e11) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f282,f4012]) ).
fof(f4014,plain,
( sQ201_spl
| h4(e11) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f283,f4013]) ).
fof(f4015,plain,
( sQ201_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4014]) ).
fof(f4016,plain,
sQ201_spl,
inference(contradiction_clause,[status(thm)],[f4015]) ).
fof(f4017,plain,
( sQ190_spl
| h3(op1(e13,e10)) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f2348]) ).
fof(f4018,plain,
( sQ186_spl
| h3(e13) != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3946,f2336]) ).
fof(f4019,plain,
( sQ186_spl
| h3(e13) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4018]) ).
fof(f4020,plain,
( sQ186_spl
| h3(e13) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f3987,f4019]) ).
fof(f4021,plain,
( sQ186_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4020]) ).
fof(f4022,plain,
sQ186_spl,
inference(contradiction_clause,[status(thm)],[f4021]) ).
fof(f4023,plain,
( sQ182_spl
| h3(op1(e11,e10)) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f2324]) ).
fof(f4024,plain,
( sQ181_spl
| h3(op1(e10,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f2321]) ).
fof(f4025,plain,
( sQ180_spl
| h3(op1(e10,e12)) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f2318]) ).
fof(f4026,plain,
( sQ179_spl
| h3(e12) != op2(h3(e10),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f3939,f2315]) ).
fof(f4027,plain,
( sQ179_spl
| h3(e12) != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f4026]) ).
fof(f4028,plain,
( sQ179_spl
| h3(e12) != h3(e12) ),
inference(forward_demodulation,[status(thm)],[f3985,f4027]) ).
fof(f4029,plain,
( sQ179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4028]) ).
fof(f4030,plain,
sQ179_spl,
inference(contradiction_clause,[status(thm)],[f4029]) ).
fof(f4031,plain,
( sQ178_spl
| h3(e11) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f264,f2312]) ).
fof(f4032,plain,
( sQ178_spl
| h3(e11) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f4031]) ).
fof(f4033,plain,
( sQ178_spl
| h3(e11) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4032]) ).
fof(f4034,plain,
( sQ178_spl
| h3(e11) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f279,f4033]) ).
fof(f4035,plain,
( sQ178_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4034]) ).
fof(f4036,plain,
sQ178_spl,
inference(contradiction_clause,[status(thm)],[f4035]) ).
fof(f4037,plain,
( sQ167_spl
| h2(op1(e13,e10)) != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f2275]) ).
fof(f4038,plain,
( sQ163_spl
| h2(e13) != op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3946,f2263]) ).
fof(f4039,plain,
( sQ163_spl
| h2(e13) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4038]) ).
fof(f4040,plain,
( sQ163_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f3979,f4039]) ).
fof(f4041,plain,
( sQ163_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4040]) ).
fof(f4042,plain,
sQ163_spl,
inference(contradiction_clause,[status(thm)],[f4041]) ).
fof(f4043,plain,
( sQ159_spl
| h2(op1(e11,e10)) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f2251]) ).
fof(f4044,plain,
( sQ158_spl
| h2(op1(e10,e13)) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f2248]) ).
fof(f4045,plain,
( sQ157_spl
| h2(op1(e10,e12)) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f2245]) ).
fof(f4046,plain,
( sQ156_spl
| h2(e12) != op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3939,f2242]) ).
fof(f4047,plain,
( sQ156_spl
| h2(e12) != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f4046]) ).
fof(f4048,plain,
( sQ156_spl
| h2(e12) != h2(e12) ),
inference(forward_demodulation,[status(thm)],[f3977,f4047]) ).
fof(f4049,plain,
( sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4048]) ).
fof(f4050,plain,
sQ156_spl,
inference(contradiction_clause,[status(thm)],[f4049]) ).
fof(f4051,plain,
( sQ155_spl
| h2(e11) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f264,f2239]) ).
fof(f4052,plain,
( sQ155_spl
| h2(e11) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f4051]) ).
fof(f4053,plain,
( sQ155_spl
| h2(e11) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4052]) ).
fof(f4054,plain,
( sQ155_spl
| h2(e11) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f275,f4053]) ).
fof(f4055,plain,
( sQ155_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4054]) ).
fof(f4056,plain,
sQ155_spl,
inference(contradiction_clause,[status(thm)],[f4055]) ).
fof(f4057,plain,
( sQ147_spl
| h1(op1(e13,e13)) != op2(e23,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3971,f2211]) ).
fof(f4058,plain,
( sQ147_spl
| h1(op1(e13,e13)) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3971,f4057]) ).
fof(f4059,plain,
( sQ147_spl
| h1(op1(e13,e13)) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f283,f4058]) ).
fof(f4060,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(e23,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3971,f2208]) ).
fof(f4061,plain,
( sQ146_spl
| h1(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3968,f4060]) ).
fof(f4062,plain,
( sQ145_spl
| h1(op1(e13,e11)) != op2(e23,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3971,f2205]) ).
fof(f4063,plain,
( sQ145_spl
| h1(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3966,f4062]) ).
fof(f4064,plain,
( sQ144_spl
| h1(op1(e13,e10)) != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3971,f2202]) ).
fof(f4065,plain,
( sQ144_spl
| h1(op1(e13,e10)) != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4064]) ).
fof(f4066,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3968,f2199]) ).
fof(f4067,plain,
( sQ143_spl
| h1(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3971,f4066]) ).
fof(f4068,plain,
( sQ142_spl
| h1(op1(e12,e12)) != op2(e22,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3968,f2196]) ).
fof(f4069,plain,
( sQ142_spl
| h1(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3968,f4068]) ).
fof(f4070,plain,
( sQ142_spl
| h1(op1(e12,e12)) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f279,f4069]) ).
fof(f4071,plain,
( sQ141_spl
| h1(op1(e12,e11)) != op2(e22,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3968,f2193]) ).
fof(f4072,plain,
( sQ141_spl
| h1(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3966,f4071]) ).
fof(f4073,plain,
( sQ140_spl
| h1(e13) != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3946,f2190]) ).
fof(f4074,plain,
( sQ140_spl
| e23 != op2(h1(e12),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3971,f4073]) ).
fof(f4075,plain,
( sQ140_spl
| e23 != op2(e22,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3968,f4074]) ).
fof(f4076,plain,
( sQ140_spl
| e23 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4075]) ).
fof(f4077,plain,
( sQ140_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3965,f4076]) ).
fof(f4078,plain,
( sQ140_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4077]) ).
fof(f4079,plain,
sQ140_spl,
inference(contradiction_clause,[status(thm)],[f4078]) ).
fof(f4080,plain,
( sQ139_spl
| h1(op1(e11,e13)) != op2(e21,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3966,f2187]) ).
fof(f4081,plain,
( sQ139_spl
| h1(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3971,f4080]) ).
fof(f4082,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(e21,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3966,f2184]) ).
fof(f4083,plain,
( sQ138_spl
| h1(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3968,f4082]) ).
fof(f4084,plain,
( sQ137_spl
| h1(op1(e11,e11)) != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3966,f2181]) ).
fof(f4085,plain,
( sQ137_spl
| h1(op1(e11,e11)) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3966,f4084]) ).
fof(f4086,plain,
( sQ137_spl
| h1(op1(e11,e11)) != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f275,f4085]) ).
fof(f4087,plain,
( sQ136_spl
| h1(op1(e11,e10)) != op2(e21,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3966,f2178]) ).
fof(f4088,plain,
( sQ136_spl
| h1(op1(e11,e10)) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4087]) ).
fof(f4089,plain,
( sQ135_spl
| h1(op1(e10,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f270,f2175]) ).
fof(f4090,plain,
( sQ135_spl
| h1(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3971,f4089]) ).
fof(f4091,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f270,f2172]) ).
fof(f4092,plain,
( sQ134_spl
| h1(op1(e10,e12)) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3968,f4091]) ).
fof(f4093,plain,
( sQ133_spl
| h1(e12) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3939,f2169]) ).
fof(f4094,plain,
( sQ133_spl
| e22 != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3968,f4093]) ).
fof(f4095,plain,
( sQ133_spl
| e22 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f270,f4094]) ).
fof(f4096,plain,
( sQ133_spl
| e22 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f3966,f4095]) ).
fof(f4097,plain,
( sQ133_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3958,f4096]) ).
fof(f4098,plain,
( sQ133_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4097]) ).
fof(f4099,plain,
sQ133_spl,
inference(contradiction_clause,[status(thm)],[f4098]) ).
fof(f4100,plain,
( sQ132_spl
| h1(e11) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f264,f2166]) ).
fof(f4101,plain,
( sQ132_spl
| e21 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3966,f4100]) ).
fof(f4102,plain,
( sQ132_spl
| e21 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f4101]) ).
fof(f4103,plain,
( sQ132_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4102]) ).
fof(f4104,plain,
( sQ132_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f267,f4103]) ).
fof(f4105,plain,
( sQ132_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4104]) ).
fof(f4106,plain,
sQ132_spl,
inference(contradiction_clause,[status(thm)],[f4105]) ).
fof(f4107,plain,
( ~ sQ97_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3965,f2002]) ).
fof(f4108,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4107,f222]) ).
fof(f4109,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f4108]) ).
fof(f4110,plain,
( ~ sQ33_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f3946,f1762]) ).
fof(f4111,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4110,f216]) ).
fof(f4112,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f4111]) ).
fof(f4116,plain,
( ~ sQ111_spl
| op2(e20,e23) != e23 ),
inference(backward_demodulation,[status(thm)],[f2047,f183]) ).
fof(f4121,plain,
( sQ135_spl
| ~ sQ79_spl
| h1(op1(e10,e13)) != e23 ),
inference(backward_demodulation,[status(thm)],[f1943,f4090]) ).
fof(f4122,plain,
( ~ sQ79_spl
| op2(e20,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1943,f193]) ).
fof(f4123,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1995,f1992]) ).
fof(f4124,plain,
( ~ sQ94_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4123,f223]) ).
fof(f4125,plain,
( ~ sQ94_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f4124]) ).
fof(f4132,plain,
( ~ sQ122_spl
| op2(e21,e22) != e22 ),
inference(backward_demodulation,[status(thm)],[f2083,f180]) ).
fof(f4137,plain,
( sQ144_spl
| ~ sQ114_spl
| h1(op1(e13,e10)) != e22 ),
inference(backward_demodulation,[status(thm)],[f2057,f4065]) ).
fof(f4139,plain,
( ~ sQ109_spl
| ~ sQ111_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2047,f2041]) ).
fof(f4140,plain,
( ~ sQ109_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4139,f222]) ).
fof(f4141,plain,
( ~ sQ109_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f4140]) ).
fof(f4142,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2083,f2080]) ).
fof(f4143,plain,
( ~ sQ121_spl
| ~ sQ122_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4142,f221]) ).
fof(f4144,plain,
( ~ sQ121_spl
| ~ sQ122_spl ),
inference(contradiction_clause,[status(thm)],[f4143]) ).
fof(f4148,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2057,f2054]) ).
fof(f4149,plain,
( ~ sQ113_spl
| ~ sQ114_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4148,f221]) ).
fof(f4150,plain,
( ~ sQ113_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f4149]) ).
fof(f4153,plain,
( ~ sQ91_spl
| op2(e20,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f1982,f176]) ).
fof(f4156,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1982,f1979]) ).
fof(f4157,plain,
( ~ sQ90_spl
| ~ sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4156,f223]) ).
fof(f4158,plain,
( ~ sQ90_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f4157]) ).
fof(f4165,plain,
( ~ sQ96_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3965,f1999]) ).
fof(f4166,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4165,f220]) ).
fof(f4167,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f4166]) ).
fof(f4170,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1917,f1914]) ).
fof(f4171,plain,
( ~ sQ70_spl
| ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4170,f223]) ).
fof(f4172,plain,
( ~ sQ70_spl
| ~ sQ71_spl ),
inference(contradiction_clause,[status(thm)],[f4171]) ).
fof(f4195,plain,
( ~ sQ15_spl
| op1(e10,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1703,f145]) ).
fof(f4196,plain,
( ~ sQ15_spl
| e13 != op1(e13,e13) ),
inference(backward_demodulation,[status(thm)],[f1703,f136]) ).
fof(f4197,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1755,f1752]) ).
fof(f4198,plain,
( ~ sQ30_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4197,f217]) ).
fof(f4199,plain,
( ~ sQ30_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f4198]) ).
fof(f4216,plain,
( ~ sQ54_spl
| op1(e13,e10) != e12 ),
inference(backward_demodulation,[status(thm)],[f1830,f158]) ).
fof(f4219,plain,
( sQ167_spl
| ~ sQ50_spl
| h2(e12) != op2(h2(e13),e21) ),
inference(backward_demodulation,[status(thm)],[f1817,f4037]) ).
fof(f4224,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1807,f1801]) ).
fof(f4225,plain,
( ~ sQ45_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4224,f216]) ).
fof(f4226,plain,
( ~ sQ45_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f4225]) ).
fof(f4227,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1843,f1840]) ).
fof(f4228,plain,
( ~ sQ57_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4227,f215]) ).
fof(f4229,plain,
( ~ sQ57_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f4228]) ).
fof(f4230,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1830,f1827]) ).
fof(f4231,plain,
( ~ sQ53_spl
| ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4230,f215]) ).
fof(f4232,plain,
( ~ sQ53_spl
| ~ sQ54_spl ),
inference(contradiction_clause,[status(thm)],[f4231]) ).
fof(f4244,plain,
( sQ180_spl
| ~ sQ11_spl
| h3(e13) != op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f1690,f4025]) ).
fof(f4245,plain,
( sQ203_spl
| ~ sQ11_spl
| h4(e13) != op2(e23,h4(e12)) ),
inference(backward_demodulation,[status(thm)],[f1690,f4005]) ).
fof(f4251,plain,
( ~ sQ39_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1781,f125]) ).
fof(f4252,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1742,f1739]) ).
fof(f4253,plain,
( ~ sQ26_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4252,f217]) ).
fof(f4254,plain,
( ~ sQ26_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f4253]) ).
fof(f4258,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1781,f1775]) ).
fof(f4259,plain,
( ~ sQ37_spl
| ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4258,f216]) ).
fof(f4260,plain,
( ~ sQ37_spl
| ~ sQ39_spl ),
inference(contradiction_clause,[status(thm)],[f4259]) ).
fof(f4261,plain,
( ~ sQ32_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f3946,f1759]) ).
fof(f4262,plain,
( ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4261,f214]) ).
fof(f4263,plain,
~ sQ32_spl,
inference(contradiction_clause,[status(thm)],[f4262]) ).
fof(f4269,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1677,f1674]) ).
fof(f4270,plain,
( ~ sQ6_spl
| ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4269,f217]) ).
fof(f4271,plain,
( ~ sQ6_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f4270]) ).
fof(f4275,plain,
( sQ220_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f282,f2442]) ).
fof(f4276,plain,
( sQ220_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4275]) ).
fof(f4277,plain,
sQ220_spl,
inference(contradiction_clause,[status(thm)],[f4276]) ).
fof(f4280,plain,
( sQ154_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3971,f2235]) ).
fof(f4281,plain,
( sQ154_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4280]) ).
fof(f4282,plain,
sQ154_spl,
inference(contradiction_clause,[status(thm)],[f4281]) ).
fof(f4286,plain,
( ~ sQ127_spl
| h4(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f2099,f283]) ).
fof(f4287,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f1989,f1986]) ).
fof(f4288,plain,
( ~ sQ108_spl
| ~ sQ110_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f2044,f2038]) ).
fof(f4289,plain,
( sQ147_spl
| ~ sQ63_spl
| h1(e13) != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f1859,f4059]) ).
fof(f4291,plain,
( sQ193_spl
| ~ sQ63_spl
| h3(e13) != op2(h3(e13),h3(e13)) ),
inference(backward_demodulation,[status(thm)],[f1859,f2357]) ).
fof(f4292,plain,
( sQ216_spl
| ~ sQ63_spl
| h4(e13) != op2(h4(e13),h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f1859,f2430]) ).
fof(f4293,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| e11 = e10 ),
inference(backward_demodulation,[status(thm)],[f1749,f1746]) ).
fof(f4295,plain,
( sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f267,f1899]) ).
fof(f4296,plain,
( sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4295]) ).
fof(f4297,plain,
sQ65_spl,
inference(contradiction_clause,[status(thm)],[f4296]) ).
fof(f4298,plain,
( ~ sQ66_spl
| e21 = e22 ),
inference(backward_demodulation,[status(thm)],[f1901,f267]) ).
fof(f4299,plain,
( sQ1_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f264,f1659]) ).
fof(f4300,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4299]) ).
fof(f4301,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f4300]) ).
fof(f4302,plain,
( ~ sQ2_spl
| e11 = e12 ),
inference(backward_demodulation,[status(thm)],[f1661,f264]) ).
fof(f4303,plain,
( ~ sQ106_spl
| h3(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f2031,f279]) ).
fof(f4304,plain,
( sQ142_spl
| ~ sQ42_spl
| h1(e12) != h3(e11) ),
inference(backward_demodulation,[status(thm)],[f1791,f4070]) ).
fof(f4305,plain,
( sQ165_spl
| ~ sQ42_spl
| h2(e12) != op2(h2(e12),h2(e12)) ),
inference(backward_demodulation,[status(thm)],[f1791,f2269]) ).
fof(f4307,plain,
( sQ211_spl
| ~ sQ42_spl
| h4(e12) != op2(h4(e12),h4(e12)) ),
inference(backward_demodulation,[status(thm)],[f1791,f2415]) ).
fof(f4308,plain,
( ~ sQ98_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3965,f2005]) ).
fof(f4309,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4308,f223]) ).
fof(f4310,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f4309]) ).
fof(f4311,plain,
( ~ sQ34_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f3946,f1765]) ).
fof(f4312,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4311,f217]) ).
fof(f4313,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f4312]) ).
fof(f4316,plain,
( ~ sQ87_spl
| h2(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f1969,f275]) ).
fof(f4317,plain,
( sQ137_spl
| ~ sQ23_spl
| h1(e13) != h2(e11) ),
inference(backward_demodulation,[status(thm)],[f1729,f4086]) ).
fof(f4318,plain,
( sQ160_spl
| ~ sQ23_spl
| h2(e13) != op2(h2(e11),h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f1729,f2254]) ).
fof(f4320,plain,
( sQ206_spl
| ~ sQ23_spl
| h4(e13) != op2(h4(e11),h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f1729,f2400]) ).
fof(f4330,plain,
( ~ sQ278_spl
| e22 = op2(e23,h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f2708,f3994]) ).
fof(f4332,plain,
( ~ sQ276_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f282,f2700]) ).
fof(f4333,plain,
( ~ sQ276_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4332,f223]) ).
fof(f4334,plain,
~ sQ276_spl,
inference(contradiction_clause,[status(thm)],[f4333]) ).
fof(f4335,plain,
( ~ sQ275_spl
| ~ sQ279_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2712,f2695]) ).
fof(f4336,plain,
( ~ sQ275_spl
| ~ sQ279_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4335,f221]) ).
fof(f4337,plain,
( ~ sQ275_spl
| ~ sQ279_spl ),
inference(contradiction_clause,[status(thm)],[f4336]) ).
fof(f4338,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2708,f2691]) ).
fof(f4339,plain,
( ~ sQ274_spl
| ~ sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4338,f221]) ).
fof(f4340,plain,
( ~ sQ274_spl
| ~ sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f4339]) ).
fof(f4344,plain,
( ~ sQ272_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f282,f2683]) ).
fof(f4345,plain,
( ~ sQ272_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4344,f222]) ).
fof(f4346,plain,
~ sQ272_spl,
inference(contradiction_clause,[status(thm)],[f4345]) ).
fof(f4347,plain,
( ~ sQ268_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f282,f2666]) ).
fof(f4348,plain,
( ~ sQ268_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4347,f220]) ).
fof(f4349,plain,
~ sQ268_spl,
inference(contradiction_clause,[status(thm)],[f4348]) ).
fof(f4351,plain,
( ~ sQ267_spl
| e22 = op2(h3(e12),e22) ),
inference(backward_demodulation,[status(thm)],[f2661,f3987]) ).
fof(f4355,plain,
( ~ sQ263_spl
| ~ sQ267_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2661,f2644]) ).
fof(f4356,plain,
( ~ sQ263_spl
| ~ sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4355,f221]) ).
fof(f4357,plain,
( ~ sQ263_spl
| ~ sQ267_spl ),
inference(contradiction_clause,[status(thm)],[f4356]) ).
fof(f4358,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2657,f2640]) ).
fof(f4359,plain,
( ~ sQ262_spl
| ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4358,f221]) ).
fof(f4360,plain,
( ~ sQ262_spl
| ~ sQ266_spl ),
inference(contradiction_clause,[status(thm)],[f4359]) ).
fof(f4361,plain,
( ~ sQ261_spl
| ~ sQ265_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2653,f2636]) ).
fof(f4362,plain,
( ~ sQ261_spl
| ~ sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4361,f221]) ).
fof(f4363,plain,
( ~ sQ261_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f4362]) ).
fof(f4364,plain,
( ~ sQ260_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f278,f2632]) ).
fof(f4365,plain,
( ~ sQ260_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4364,f221]) ).
fof(f4366,plain,
~ sQ260_spl,
inference(contradiction_clause,[status(thm)],[f4365]) ).
fof(f4367,plain,
( ~ sQ256_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f278,f2615]) ).
fof(f4368,plain,
( ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4367,f219]) ).
fof(f4369,plain,
~ sQ256_spl,
inference(contradiction_clause,[status(thm)],[f4368]) ).
fof(f4373,plain,
( ~ sQ254_spl
| e22 = op2(e21,h2(e11)) ),
inference(backward_demodulation,[status(thm)],[f2606,f3977]) ).
fof(f4379,plain,
( ~ sQ250_spl
| ~ sQ254_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2606,f2589]) ).
fof(f4380,plain,
( ~ sQ250_spl
| ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4379,f221]) ).
fof(f4381,plain,
( ~ sQ250_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f4380]) ).
fof(f4385,plain,
( ~ sQ248_spl
| ~ sQ252_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2598,f2581]) ).
fof(f4386,plain,
( ~ sQ248_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4385,f221]) ).
fof(f4387,plain,
( ~ sQ248_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4386]) ).
fof(f4388,plain,
( ~ sQ243_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f3971,f2559]) ).
fof(f4389,plain,
( ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4388,f223]) ).
fof(f4390,plain,
~ sQ243_spl,
inference(contradiction_clause,[status(thm)],[f4389]) ).
fof(f4391,plain,
( ~ sQ241_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f2551,f3966]) ).
fof(f4392,plain,
( ~ sQ240_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f2547,f270]) ).
fof(f4393,plain,
( ~ sQ239_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f3971,f2542]) ).
fof(f4394,plain,
( ~ sQ239_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4393,f222]) ).
fof(f4395,plain,
~ sQ239_spl,
inference(contradiction_clause,[status(thm)],[f4394]) ).
fof(f4396,plain,
( ~ sQ238_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3968,f2538]) ).
fof(f4397,plain,
( ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4396,f221]) ).
fof(f4398,plain,
~ sQ238_spl,
inference(contradiction_clause,[status(thm)],[f4397]) ).
fof(f4405,plain,
( ~ sQ235_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f3971,f2525]) ).
fof(f4406,plain,
( ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4405,f220]) ).
fof(f4407,plain,
~ sQ235_spl,
inference(contradiction_clause,[status(thm)],[f4406]) ).
fof(f4408,plain,
( ~ sQ13_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1697,f3928]) ).
fof(f4409,plain,
( ~ sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4408]) ).
fof(f4410,plain,
~ sQ13_spl,
inference(contradiction_clause,[status(thm)],[f4409]) ).
fof(f4411,plain,
( ~ sQ9_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1684,f3929]) ).
fof(f4412,plain,
( ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4411]) ).
fof(f4413,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f4412]) ).
fof(f4414,plain,
( ~ sQ5_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1671,f3930]) ).
fof(f4415,plain,
( ~ sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4414]) ).
fof(f4416,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f4415]) ).
fof(f4428,plain,
( ~ sQ77_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1937,f3947]) ).
fof(f4429,plain,
( ~ sQ77_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4428]) ).
fof(f4430,plain,
~ sQ77_spl,
inference(contradiction_clause,[status(thm)],[f4429]) ).
fof(f4431,plain,
( ~ sQ73_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1924,f3948]) ).
fof(f4432,plain,
( ~ sQ73_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4431]) ).
fof(f4433,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f4432]) ).
fof(f4434,plain,
( ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1911,f3949]) ).
fof(f4435,plain,
( ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4434]) ).
fof(f4436,plain,
~ sQ69_spl,
inference(contradiction_clause,[status(thm)],[f4435]) ).
fof(f4454,plain,
( ~ sQ80_spl
| e20 != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f1947,f3974]) ).
fof(f4459,plain,
( ~ sQ100_spl
| e20 != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f2012,f3981]) ).
fof(f4460,plain,
( ~ sQ100_spl
| ~ sQ257_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2619,f4459]) ).
fof(f4461,plain,
( ~ sQ100_spl
| ~ sQ257_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4460]) ).
fof(f4462,plain,
( ~ sQ100_spl
| ~ sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f4461]) ).
fof(f4464,plain,
( ~ sQ120_spl
| e20 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f2077,f3988]) ).
fof(f4465,plain,
( ~ sQ120_spl
| ~ sQ269_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2670,f4464]) ).
fof(f4466,plain,
( ~ sQ120_spl
| ~ sQ269_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4465]) ).
fof(f4467,plain,
( ~ sQ120_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f4466]) ).
fof(f4478,plain,
( ~ sQ202_spl
| h4(op1(e10,e11)) = op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f282,f2387]) ).
fof(f4479,plain,
( ~ sQ201_spl
| h4(op1(e10,e10)) = op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f282,f2384]) ).
fof(f4480,plain,
( ~ sQ201_spl
| h4(op1(e10,e10)) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f282,f4479]) ).
fof(f4482,plain,
( ~ sQ186_spl
| h3(e13) = op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f3946,f2335]) ).
fof(f4488,plain,
( ~ sQ179_spl
| h3(op1(e10,e11)) = op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f2314]) ).
fof(f4489,plain,
( ~ sQ178_spl
| h3(op1(e10,e10)) = op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f278,f2311]) ).
fof(f4490,plain,
( ~ sQ178_spl
| h3(op1(e10,e10)) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4489]) ).
fof(f4492,plain,
( ~ sQ163_spl
| h2(e13) = op2(h2(e12),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3946,f2262]) ).
fof(f4512,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| e22 = e21 ),
inference(backward_demodulation,[status(thm)],[f1992,f1989]) ).
fof(f4515,plain,
( ~ sQ78_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1940,f3953]) ).
fof(f4516,plain,
~ sQ78_spl,
inference(contradiction_clause,[status(thm)],[f4515]) ).
fof(f4522,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1969,f1963]) ).
fof(f4523,plain,
( ~ sQ85_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4522,f222]) ).
fof(f4524,plain,
( ~ sQ85_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f4523]) ).
fof(f4525,plain,
( ~ sQ109_spl
| ~ sQ110_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2044,f2041]) ).
fof(f4526,plain,
( ~ sQ109_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4525,f221]) ).
fof(f4527,plain,
( ~ sQ109_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f4526]) ).
fof(f4540,plain,
( ~ sQ121_spl
| op2(e21,e22) != e21 ),
inference(forward_demodulation,[status(thm)],[f2080,f180]) ).
fof(f4545,plain,
( ~ sQ112_spl
| e20 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f2051,f206]) ).
fof(f4546,plain,
( ~ sQ112_spl
| ~ sQ116_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2064,f4545]) ).
fof(f4547,plain,
( ~ sQ112_spl
| ~ sQ116_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4546]) ).
fof(f4548,plain,
( ~ sQ112_spl
| ~ sQ116_spl ),
inference(contradiction_clause,[status(thm)],[f4547]) ).
fof(f4549,plain,
( ~ sQ112_spl
| ~ sQ113_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f2054,f2051]) ).
fof(f4557,plain,
( ~ sQ76_spl
| e20 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1934,f183]) ).
fof(f4558,plain,
( ~ sQ104_spl
| ~ sQ106_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f2031,f2025]) ).
fof(f4559,plain,
( ~ sQ104_spl
| ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4558,f219]) ).
fof(f4560,plain,
( ~ sQ104_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f4559]) ).
fof(f4561,plain,
( ~ sQ124_spl
| ~ sQ127_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2099,f2090]) ).
fof(f4562,plain,
( ~ sQ124_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4561,f220]) ).
fof(f4563,plain,
( ~ sQ124_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4562]) ).
fof(f4564,plain,
( ~ sQ101_spl
| e21 != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f2015,f175]) ).
fof(f4565,plain,
( ~ sQ101_spl
| e21 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f2015,f204]) ).
fof(f4566,plain,
( sQ141_spl
| ~ sQ36_spl
| h1(e10) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1772,f4072]) ).
fof(f4571,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| e22 = e20 ),
inference(backward_demodulation,[status(thm)],[f1953,f1947]) ).
fof(f4572,plain,
( sQ136_spl
| ~ sQ16_spl
| h1(e10) != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1707,f4088]) ).
fof(f4577,plain,
( sQ185_spl
| ~ sQ29_spl
| h3(e11) != op2(h3(e11),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1749,f2333]) ).
fof(f4583,plain,
( ~ sQ16_spl
| e10 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1707,f148]) ).
fof(f4588,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f1752,f1749]) ).
fof(f4590,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1700,f3934]) ).
fof(f4591,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f4590]) ).
fof(f4600,plain,
( sQ212_spl
| ~ sQ45_spl
| h4(e11) != op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1801,f2418]) ).
fof(f4607,plain,
( ~ sQ30_spl
| e12 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f1752,f137]) ).
fof(f4611,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| e11 = e10 ),
inference(backward_demodulation,[status(thm)],[f1840,f1837]) ).
fof(f4618,plain,
( ~ sQ57_spl
| e11 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1840,f163]) ).
fof(f4622,plain,
( ~ sQ48_spl
| e10 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1811,f159]) ).
fof(f4638,plain,
( ~ sQ52_spl
| e10 != op1(e13,e13) ),
inference(forward_demodulation,[status(thm)],[f1824,f162]) ).
fof(f4640,plain,
( ~ sQ48_spl
| e10 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1811,f158]) ).
fof(f4641,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1824,f4640]) ).
fof(f4642,plain,
( ~ sQ48_spl
| ~ sQ52_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4641]) ).
fof(f4643,plain,
( ~ sQ48_spl
| ~ sQ52_spl ),
inference(contradiction_clause,[status(thm)],[f4642]) ).
fof(f4645,plain,
( ~ sQ23_spl
| e13 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1729,f126]) ).
fof(f4664,plain,
( ~ sQ23_spl
| e13 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f1729,f149]) ).
fof(f4666,plain,
( ~ sQ16_spl
| e10 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f1707,f147]) ).
fof(f4667,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| e10 != e10 ),
inference(forward_demodulation,[status(thm)],[f1733,f4666]) ).
fof(f4668,plain,
( ~ sQ16_spl
| ~ sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4667]) ).
fof(f4669,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f4668]) ).
fof(f4670,plain,
( ~ sQ42_spl
| op1(e11,e12) != e12 ),
inference(forward_demodulation,[status(thm)],[f1791,f131]) ).
fof(f4672,plain,
( ~ sQ12_spl
| op1(e10,e12) != e10 ),
inference(backward_demodulation,[status(thm)],[f1694,f145]) ).
fof(f4678,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1791,f1785]) ).
fof(f4679,plain,
( ~ sQ40_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4678,f213]) ).
fof(f4680,plain,
( ~ sQ40_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4679]) ).
fof(f4681,plain,
( ~ sQ60_spl
| ~ sQ63_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1859,f1850]) ).
fof(f4682,plain,
( ~ sQ60_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4681,f214]) ).
fof(f4683,plain,
( ~ sQ60_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f4682]) ).
fof(f4702,plain,
( ~ sQ179_spl
| h3(e12) = op2(e22,h3(e11)) ),
inference(backward_demodulation,[status(thm)],[f3939,f4488]) ).
fof(f4703,plain,
( ~ sQ202_spl
| h4(e12) = op2(e23,h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f3939,f4478]) ).
fof(f4719,plain,
( ~ sQ92_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4287,f218]) ).
fof(f4720,plain,
( ~ sQ92_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f4719]) ).
fof(f4721,plain,
( sQ147_spl
| ~ sQ63_spl
| e23 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f3971,f4289]) ).
fof(f4722,plain,
( sQ147_spl
| ~ sQ63_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4286,f4721]) ).
fof(f4723,plain,
( sQ147_spl
| ~ sQ63_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4722]) ).
fof(f4724,plain,
( sQ147_spl
| ~ sQ63_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4723]) ).
fof(f4731,plain,
( ~ sQ28_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4293,f212]) ).
fof(f4732,plain,
( ~ sQ28_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f4731]) ).
fof(f4734,plain,
( ~ sQ68_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3958,f1908]) ).
fof(f4735,plain,
( ~ sQ68_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4734,f219]) ).
fof(f4736,plain,
~ sQ68_spl,
inference(contradiction_clause,[status(thm)],[f4735]) ).
fof(f4739,plain,
( ~ sQ126_spl
| ~ sQ127_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f2099,f2096]) ).
fof(f4740,plain,
( ~ sQ126_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4739,f223]) ).
fof(f4741,plain,
( ~ sQ126_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4740]) ).
fof(f4743,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2073,f2067]) ).
fof(f4744,plain,
( ~ sQ117_spl
| ~ sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4743,f222]) ).
fof(f4745,plain,
( ~ sQ117_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f4744]) ).
fof(f4746,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4298,f221]) ).
fof(f4747,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f4746]) ).
fof(f4748,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| h1(e11) = op2(h1(e10),h1(e10)) ),
inference(backward_demodulation,[status(thm)],[f1658,f2165]) ).
fof(f4750,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1791,f1788]) ).
fof(f4751,plain,
( ~ sQ41_spl
| ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4750,f215]) ).
fof(f4752,plain,
( ~ sQ41_spl
| ~ sQ42_spl ),
inference(contradiction_clause,[status(thm)],[f4751]) ).
fof(f4753,plain,
( ~ sQ4_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f3939,f1668]) ).
fof(f4754,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4753,f213]) ).
fof(f4755,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f4754]) ).
fof(f4756,plain,
( ~ sQ55_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1833,f4645]) ).
fof(f4757,plain,
( ~ sQ55_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f4756]) ).
fof(f4758,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4302,f215]) ).
fof(f4759,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f4758]) ).
fof(f4763,plain,
( ~ sQ127_spl
| h4(e12) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4286,f3994]) ).
fof(f4764,plain,
( ~ sQ127_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f4763]) ).
fof(f4765,plain,
( ~ sQ127_spl
| sQ222_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4764,f2450]) ).
fof(f4766,plain,
( ~ sQ127_spl
| sQ222_spl ),
inference(contradiction_clause,[status(thm)],[f4765]) ).
fof(f4767,plain,
( sQ221_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4286,f2446]) ).
fof(f4768,plain,
( sQ221_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4767]) ).
fof(f4769,plain,
( sQ221_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4768]) ).
fof(f4771,plain,
( ~ sQ278_spl
| ~ sQ127_spl
| e22 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4286,f4330]) ).
fof(f4772,plain,
( ~ sQ278_spl
| ~ sQ127_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f4771]) ).
fof(f4773,plain,
( ~ sQ278_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4772,f223]) ).
fof(f4774,plain,
( ~ sQ278_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4773]) ).
fof(f4777,plain,
( ~ sQ267_spl
| h3(e13) = e22 ),
inference(backward_demodulation,[status(thm)],[f4351,f3987]) ).
fof(f4791,plain,
( ~ sQ244_spl
| e21 = e20 ),
inference(backward_demodulation,[status(thm)],[f274,f2564]) ).
fof(f4795,plain,
( ~ sQ254_spl
| h2(e13) = op2(e22,e21) ),
inference(backward_demodulation,[status(thm)],[f2606,f3979]) ).
fof(f4797,plain,
( sQ248_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f274,f2582]) ).
fof(f4798,plain,
( sQ248_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4797]) ).
fof(f4799,plain,
sQ248_spl,
inference(contradiction_clause,[status(thm)],[f4798]) ).
fof(f4807,plain,
( ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4391,f221]) ).
fof(f4808,plain,
~ sQ241_spl,
inference(contradiction_clause,[status(thm)],[f4807]) ).
fof(f4811,plain,
( ~ sQ234_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3968,f2521]) ).
fof(f4812,plain,
( ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4811,f219]) ).
fof(f4813,plain,
~ sQ234_spl,
inference(contradiction_clause,[status(thm)],[f4812]) ).
fof(f4823,plain,
( ~ sQ261_spl
| op2(e22,e21) != e21 ),
inference(forward_demodulation,[status(thm)],[f2636,f3981]) ).
fof(f4825,plain,
( ~ sQ127_spl
| op2(e23,e22) != e23 ),
inference(forward_demodulation,[status(thm)],[f4286,f3988]) ).
fof(f4827,plain,
( ~ sQ93_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4512,f221]) ).
fof(f4828,plain,
( ~ sQ93_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f4827]) ).
fof(f4831,plain,
( ~ sQ79_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4122,f1929,f1942]) ).
fof(f4842,plain,
( sQ135_spl
| ~ sQ12_spl
| h1(e10) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1694,f4090]) ).
fof(f4843,plain,
( sQ135_spl
| ~ sQ12_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f270,f4842]) ).
fof(f4846,plain,
( ~ sQ269_spl
| ~ sQ127_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f4286,f2670]) ).
fof(f4847,plain,
( ~ sQ269_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4846,f220]) ).
fof(f4848,plain,
( ~ sQ269_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f4847]) ).
fof(f4854,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1801,f1798]) ).
fof(f4855,plain,
( ~ sQ44_spl
| ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4854,f212]) ).
fof(f4856,plain,
( ~ sQ44_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4863,plain,
( ~ sQ121_spl
| op2(e23,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f2080,f209]) ).
fof(f4865,plain,
( ~ sQ178_spl
| ~ sQ1_spl
| h3(e11) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1658,f4490]) ).
fof(f4866,plain,
( ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ105_spl
| h3(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2028,f4865]) ).
fof(f4869,plain,
( ~ sQ29_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4588,f215]) ).
fof(f4870,plain,
( ~ sQ29_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f4869]) ).
fof(f4871,plain,
( ~ sQ15_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f4195,f1689,f1702]) ).
fof(f4872,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1859,f4196]) ).
fof(f4873,plain,
( ~ sQ15_spl
| ~ sQ63_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4872]) ).
fof(f4874,plain,
( ~ sQ15_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f4873]) ).
fof(f4876,plain,
( ~ sQ56_spl
| ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4611,f212]) ).
fof(f4877,plain,
( ~ sQ56_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4876]) ).
fof(f4878,plain,
( ~ sQ63_spl
| op1(e13,e11) != e13 ),
inference(forward_demodulation,[status(thm)],[f1859,f162]) ).
fof(f4880,plain,
( ~ sQ57_spl
| op1(e13,e11) != e11 ),
inference(forward_demodulation,[status(thm)],[f1840,f161]) ).
fof(f4882,plain,
( sQ207_spl
| ~ sQ25_spl
| h4(e11) != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1736,f2403]) ).
fof(f4883,plain,
( sQ184_spl
| ~ sQ25_spl
| h3(e11) != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1736,f2330]) ).
fof(f4886,plain,
( sQ161_spl
| ~ sQ25_spl
| h2(e11) != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1736,f2257]) ).
fof(f4888,plain,
( ~ sQ25_spl
| e11 != op1(e13,e12) ),
inference(forward_demodulation,[status(thm)],[f1736,f132]) ).
fof(f4889,plain,
( ~ sQ25_spl
| ~ sQ57_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f1840,f4888]) ).
fof(f4890,plain,
( ~ sQ25_spl
| ~ sQ57_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4889]) ).
fof(f4891,plain,
( ~ sQ25_spl
| ~ sQ57_spl ),
inference(contradiction_clause,[status(thm)],[f4890]) ).
fof(f4892,plain,
( ~ sQ25_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1736,f151]) ).
fof(f4893,plain,
( sQ138_spl
| ~ sQ25_spl
| h1(e11) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1736,f4083]) ).
fof(f4895,plain,
( ~ sQ12_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f4672,f1680,f1693]) ).
fof(f4921,plain,
( ~ sQ163_spl
| ~ sQ254_spl
| h2(e13) = op2(e22,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f2606,f4492]) ).
fof(f4922,plain,
( ~ sQ163_spl
| ~ sQ254_spl
| h2(e13) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f4921]) ).
fof(f4935,plain,
( ~ sQ102_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2018,f3956]) ).
fof(f4936,plain,
~ sQ102_spl,
inference(contradiction_clause,[status(thm)],[f4935]) ).
fof(f4940,plain,
( sQ141_spl
| ~ sQ36_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f270,f4566]) ).
fof(f4942,plain,
( sQ136_spl
| ~ sQ16_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4572]) ).
fof(f4943,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1947,f4942]) ).
fof(f4944,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4943]) ).
fof(f4945,plain,
( sQ136_spl
| ~ sQ16_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4944]) ).
fof(f4948,plain,
( sQ138_spl
| ~ sQ25_spl
| ~ sQ89_spl
| h1(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f1976,f4893]) ).
fof(f4961,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f1859,f1853]) ).
fof(f4962,plain,
( ~ sQ61_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4961,f216]) ).
fof(f4963,plain,
( ~ sQ61_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f4962]) ).
fof(f4969,plain,
( ~ sQ108_spl
| ~ sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4288,f219]) ).
fof(f4970,plain,
( ~ sQ108_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f4969]) ).
fof(f4979,plain,
( ~ sQ111_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f4116,f1942,f2046]) ).
fof(f4982,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| h1(e11) = op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f270,f4748]) ).
fof(f4983,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| h1(e11) = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f270,f4982]) ).
fof(f4984,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| ~ sQ65_spl
| h1(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1898,f4983]) ).
fof(f4985,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| ~ sQ65_spl
| sQ237_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4984,f2535]) ).
fof(f4986,plain,
( ~ sQ132_spl
| ~ sQ1_spl
| ~ sQ65_spl
| sQ237_spl ),
inference(contradiction_clause,[status(thm)],[f4985]) ).
fof(f4993,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f1804,f1801]) ).
fof(f4994,plain,
( ~ sQ143_spl
| ~ sQ46_spl
| h1(e12) = op2(h1(e12),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1804,f2198]) ).
fof(f4995,plain,
( ~ sQ143_spl
| ~ sQ46_spl
| e22 = op2(h1(e12),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3968,f4994]) ).
fof(f4996,plain,
( ~ sQ143_spl
| ~ sQ46_spl
| e22 = op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3968,f4995]) ).
fof(f4997,plain,
( ~ sQ143_spl
| ~ sQ46_spl
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3971,f4996]) ).
fof(f5000,plain,
( sQ145_spl
| ~ sQ53_spl
| h1(e11) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1827,f4063]) ).
fof(f5002,plain,
( sQ214_spl
| ~ sQ53_spl
| h4(e11) != op2(h4(e13),h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f1827,f2424]) ).
fof(f5005,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1794,f3942]) ).
fof(f5006,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f5005]) ).
fof(f5007,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1778,f1772]) ).
fof(f5008,plain,
( ~ sQ36_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5007,f213]) ).
fof(f5009,plain,
( ~ sQ36_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f5008]) ).
fof(f5010,plain,
( ~ sQ38_spl
| e12 != op1(e12,e12) ),
inference(forward_demodulation,[status(thm)],[f1778,f155]) ).
fof(f5029,plain,
( ~ sQ22_spl
| e12 != e12 ),
inference(forward_demodulation,[status(thm)],[f1726,f3938]) ).
fof(f5030,plain,
( ~ sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5029]) ).
fof(f5031,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f5030]) ).
fof(f5048,plain,
( ~ sQ202_spl
| ~ sQ274_spl
| e21 = op2(e23,h4(e11)) ),
inference(backward_demodulation,[status(thm)],[f2691,f4703]) ).
fof(f5052,plain,
( ~ sQ244_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4791,f218]) ).
fof(f5053,plain,
~ sQ244_spl,
inference(contradiction_clause,[status(thm)],[f5052]) ).
fof(f5057,plain,
( ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4392,f219]) ).
fof(f5058,plain,
~ sQ240_spl,
inference(contradiction_clause,[status(thm)],[f5057]) ).
fof(f5071,plain,
( ~ sQ89_spl
| e21 != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f1976,f3983]) ).
fof(f5072,plain,
( ~ sQ89_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ105_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f4866,f5071]) ).
fof(f5073,plain,
( ~ sQ89_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ105_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5072]) ).
fof(f5074,plain,
( ~ sQ89_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ105_spl ),
inference(contradiction_clause,[status(thm)],[f5073]) ).
fof(f5076,plain,
( ~ sQ186_spl
| h3(e13) = op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f4482]) ).
fof(f5094,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| h4(e11) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1658,f4480]) ).
fof(f5095,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ125_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2093,f5094]) ).
fof(f5096,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5095,f2688]) ).
fof(f5097,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ125_spl
| sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f5096]) ).
fof(f5103,plain,
( ~ sQ125_spl
| op2(e23,e21) != e21 ),
inference(backward_demodulation,[status(thm)],[f5104,f3989]) ).
fof(f5104,plain,
( ~ sQ125_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f2093,f283]) ).
fof(f5107,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f2086,f2077]) ).
fof(f5108,plain,
( ~ sQ120_spl
| ~ sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5107,f220]) ).
fof(f5109,plain,
( ~ sQ120_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f5108]) ).
fof(f5114,plain,
( ~ sQ121_spl
| ~ sQ89_spl ),
inference(split_clause,[status(thm)],[f4540,f1975,f2079]) ).
fof(f5121,plain,
( ~ sQ29_spl
| ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1749,f4892]) ).
fof(f5122,plain,
( ~ sQ29_spl
| ~ sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f5121]) ).
fof(f5123,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1820,f1811]) ).
fof(f5124,plain,
( ~ sQ48_spl
| ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5123,f214]) ).
fof(f5125,plain,
( ~ sQ48_spl
| ~ sQ51_spl ),
inference(contradiction_clause,[status(thm)],[f5124]) ).
fof(f5126,plain,
( ~ sQ63_spl
| op1(e13,e10) != e13 ),
inference(forward_demodulation,[status(thm)],[f1859,f160]) ).
fof(f5145,plain,
( ~ sQ48_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f4622,f1836,f1810]) ).
fof(f5146,plain,
( ~ sQ63_spl
| op1(e13,e12) != e13 ),
inference(forward_demodulation,[status(thm)],[f1859,f163]) ).
fof(f5149,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1687,f3935]) ).
fof(f5150,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f5149]) ).
fof(f5152,plain,
( sQ138_spl
| ~ sQ25_spl
| ~ sQ89_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f4948,f2533,f1975,f1735,f2182]) ).
fof(f5153,plain,
( ~ sQ124_spl
| ~ sQ125_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2093,f2090]) ).
fof(f5154,plain,
( ~ sQ124_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5153,f218]) ).
fof(f5155,plain,
( ~ sQ124_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f5154]) ).
fof(f5156,plain,
( ~ sQ101_spl
| ~ sQ109_spl ),
inference(split_clause,[status(thm)],[f4565,f2040,f2014]) ).
fof(f5164,plain,
( ~ sQ112_spl
| ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4549,f218]) ).
fof(f5165,plain,
( ~ sQ112_spl
| ~ sQ113_spl ),
inference(contradiction_clause,[status(thm)],[f5164]) ).
fof(f5167,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f3955]) ).
fof(f5168,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f5167]) ).
fof(f5184,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1859,f1856]) ).
fof(f5185,plain,
( ~ sQ62_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5184,f217]) ).
fof(f5186,plain,
( ~ sQ62_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5185]) ).
fof(f5187,plain,
( ~ sQ80_spl
| ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4571,f219]) ).
fof(f5188,plain,
( ~ sQ80_spl
| ~ sQ82_spl ),
inference(contradiction_clause,[status(thm)],[f5187]) ).
fof(f5193,plain,
( ~ sQ76_spl
| sQ135_spl
| ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1934,f4843]) ).
fof(f5194,plain,
( ~ sQ76_spl
| sQ135_spl
| ~ sQ12_spl ),
inference(contradiction_clause,[status(thm)],[f5193]) ).
fof(f5201,plain,
( ~ sQ93_spl
| ~ sQ95_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1995,f1989]) ).
fof(f5202,plain,
( ~ sQ93_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5201,f222]) ).
fof(f5203,plain,
( ~ sQ93_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f5202]) ).
fof(f5205,plain,
( ~ sQ45_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4993,f215]) ).
fof(f5206,plain,
( ~ sQ45_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5205]) ).
fof(f5207,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1710,f3933]) ).
fof(f5208,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f5207]) ).
fof(f5209,plain,
( ~ sQ46_spl
| op1(e12,e11) != e12 ),
inference(forward_demodulation,[status(thm)],[f1804,f156]) ).
fof(f5226,plain,
( ~ sQ85_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f275]) ).
fof(f5229,plain,
( ~ sQ254_spl
| ~ sQ85_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f4373]) ).
fof(f5232,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| h2(e11) = op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1658,f2238]) ).
fof(f5233,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ85_spl
| e21 = op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f5226,f5232]) ).
fof(f5234,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ85_spl
| e21 = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f5233]) ).
fof(f5235,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ85_spl
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f5234]) ).
fof(f5236,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ254_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f5229,f5235]) ).
fof(f5237,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5236,f221]) ).
fof(f5238,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ85_spl
| ~ sQ254_spl ),
inference(contradiction_clause,[status(thm)],[f5237]) ).
fof(f5239,plain,
( ~ sQ156_spl
| h2(e12) = op2(h2(e10),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f3939,f2241]) ).
fof(f5240,plain,
( ~ sQ156_spl
| h2(e12) = op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f5239]) ).
fof(f5241,plain,
( ~ sQ156_spl
| ~ sQ85_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f5240]) ).
fof(f5245,plain,
( sQ242_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3968,f2556]) ).
fof(f5246,plain,
( sQ242_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5245]) ).
fof(f5247,plain,
sQ242_spl,
inference(contradiction_clause,[status(thm)],[f5246]) ).
fof(f5248,plain,
( ~ sQ265_spl
| h3(e12) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2653,f3985]) ).
fof(f5250,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| h3(op1(e13,e12)) != op2(h3(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f5251,f2354]) ).
fof(f5251,plain,
( ~ sQ265_spl
| ~ sQ106_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f5248]) ).
fof(f5254,plain,
( ~ sQ265_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2653,f3980]) ).
fof(f5255,plain,
( ~ sQ265_spl
| ~ sQ143_spl
| ~ sQ46_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4997,f5254]) ).
fof(f5256,plain,
( ~ sQ265_spl
| ~ sQ143_spl
| ~ sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5255]) ).
fof(f5257,plain,
( ~ sQ265_spl
| ~ sQ143_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f5256]) ).
fof(f5264,plain,
( sQ191_spl
| ~ sQ106_spl
| h3(op1(e13,e11)) != op2(h3(e13),e22) ),
inference(backward_demodulation,[status(thm)],[f5271,f2351]) ).
fof(f5265,plain,
( ~ sQ179_spl
| ~ sQ106_spl
| h3(e12) = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f5271,f4702]) ).
fof(f5268,plain,
( sQ183_spl
| ~ sQ106_spl
| h3(op1(e11,e11)) != op2(h3(e11),e22) ),
inference(backward_demodulation,[status(thm)],[f5271,f2327]) ).
fof(f5271,plain,
( ~ sQ106_spl
| h3(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f279]) ).
fof(f5292,plain,
( ~ sQ63_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f4878,f1832,f1858]) ).
fof(f5294,plain,
( ~ sQ72_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1921,f178]) ).
fof(f5296,plain,
( ~ sQ119_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2073,f209]) ).
fof(f5297,plain,
( ~ sQ119_spl
| ~ sQ123_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2086,f5296]) ).
fof(f5298,plain,
( ~ sQ119_spl
| ~ sQ123_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5297]) ).
fof(f5299,plain,
( ~ sQ119_spl
| ~ sQ123_spl ),
inference(contradiction_clause,[status(thm)],[f5298]) ).
fof(f5302,plain,
( sQ185_spl
| ~ sQ106_spl
| h3(op1(e11,e13)) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5271,f2333]) ).
fof(f5311,plain,
( ~ sQ11_spl
| e13 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1690,f130]) ).
fof(f5314,plain,
( ~ sQ59_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1846,f5146]) ).
fof(f5315,plain,
( ~ sQ59_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5314]) ).
fof(f5338,plain,
( ~ sQ20_spl
| op1(e11,e10) != e10 ),
inference(backward_demodulation,[status(thm)],[f1720,f146]) ).
fof(f5339,plain,
( ~ sQ20_spl
| e10 != op1(e12,e11) ),
inference(backward_demodulation,[status(thm)],[f1720,f125]) ).
fof(f5340,plain,
( ~ sQ20_spl
| e10 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f1720,f149]) ).
fof(f5342,plain,
( ~ sQ20_spl
| e10 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f1720,f150]) ).
fof(f5344,plain,
( sQ145_spl
| ~ sQ53_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3966,f5000]) ).
fof(f5357,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1898,f1895]) ).
fof(f5358,plain,
( ~ sQ64_spl
| ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5357,f218]) ).
fof(f5359,plain,
( ~ sQ64_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f5358]) ).
fof(f5366,plain,
( ~ sQ12_spl
| e10 != op1(e12,e13) ),
inference(forward_demodulation,[status(thm)],[f1694,f135]) ).
fof(f5370,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1788,f1785]) ).
fof(f5371,plain,
( ~ sQ40_spl
| ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5370,f212]) ).
fof(f5372,plain,
( ~ sQ40_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f5371]) ).
fof(f5373,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1827,f1824]) ).
fof(f5374,plain,
( ~ sQ52_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5373,f212]) ).
fof(f5375,plain,
( ~ sQ52_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f5374]) ).
fof(f5376,plain,
( ~ sQ51_spl
| ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f5126]) ).
fof(f5377,plain,
( ~ sQ51_spl
| ~ sQ63_spl ),
inference(contradiction_clause,[status(thm)],[f5376]) ).
fof(f5378,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1658,f1655]) ).
fof(f5379,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5378,f212]) ).
fof(f5380,plain,
( ~ sQ0_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f5379]) ).
fof(f5398,plain,
( ~ sQ85_spl
| h2(e12) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f3977]) ).
fof(f5399,plain,
( ~ sQ85_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f5398]) ).
fof(f5401,plain,
( ~ sQ85_spl
| h2(e13) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5399,f3979]) ).
fof(f5406,plain,
( ~ sQ85_spl
| h2(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f5401]) ).
fof(f5411,plain,
( sQ192_spl
| ~ sQ267_spl
| h3(op1(e13,e12)) != op2(e22,h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f4777,f2354]) ).
fof(f5415,plain,
( sQ190_spl
| ~ sQ267_spl
| h3(op1(e13,e10)) != op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f4777,f4017]) ).
fof(f5418,plain,
( ~ sQ76_spl
| op2(e20,e22) != e20 ),
inference(forward_demodulation,[status(thm)],[f1934,f193]) ).
fof(f5419,plain,
( ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ105_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f4866,f2635,f2027,f1657,f2310]) ).
fof(f5426,plain,
( ~ sQ114_spl
| e22 != h4(e11) ),
inference(backward_demodulation,[status(thm)],[f2057,f3990]) ).
fof(f5427,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2060,f3963]) ).
fof(f5428,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f5427]) ).
fof(f5429,plain,
( ~ sQ253_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f2602,f3972]) ).
fof(f5430,plain,
( ~ sQ76_spl
| e20 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1934,f182]) ).
fof(f5433,plain,
( ~ sQ114_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2057,f207]) ).
fof(f5445,plain,
( ~ sQ94_spl
| ~ sQ253_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1992,f5429]) ).
fof(f5446,plain,
( ~ sQ94_spl
| ~ sQ253_spl ),
inference(contradiction_clause,[status(thm)],[f5445]) ).
fof(f5447,plain,
( ~ sQ76_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4557,f2037,f1933]) ).
fof(f5449,plain,
( ~ sQ72_spl
| ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1921,f5418]) ).
fof(f5450,plain,
( ~ sQ72_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f5449]) ).
fof(f5451,plain,
( ~ sQ72_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f5294,f2076,f1920]) ).
fof(f5452,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1956,f3964]) ).
fof(f5453,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f5452]) ).
fof(f5454,plain,
( sQ126_spl
| ~ sQ201_spl
| ~ sQ1_spl
| h4(e11) != e22 ),
inference(forward_demodulation,[status(thm)],[f5094,f2097]) ).
fof(f5455,plain,
( ~ sQ44_spl
| op1(e11,e13) != e10 ),
inference(backward_demodulation,[status(thm)],[f1798,f137]) ).
fof(f5481,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1814,f3931]) ).
fof(f5482,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f5481]) ).
fof(f5489,plain,
( ~ sQ18_spl
| e12 != op1(e13,e10) ),
inference(backward_demodulation,[status(thm)],[f1713,f120]) ).
fof(f5494,plain,
( ~ sQ121_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4863,f2066,f2079]) ).
fof(f5506,plain,
( ~ sQ57_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f4880,f1826,f1839]) ).
fof(f5509,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f1846,f1840]) ).
fof(f5519,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1856,f1850]) ).
fof(f5520,plain,
( ~ sQ60_spl
| ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5519,f213]) ).
fof(f5521,plain,
( ~ sQ60_spl
| ~ sQ62_spl ),
inference(contradiction_clause,[status(thm)],[f5520]) ).
fof(f5528,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1775,f1772]) ).
fof(f5529,plain,
( ~ sQ36_spl
| ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5528,f212]) ).
fof(f5530,plain,
( ~ sQ36_spl
| ~ sQ37_spl ),
inference(contradiction_clause,[status(thm)],[f5529]) ).
fof(f5531,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1927,f3954]) ).
fof(f5532,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f5531]) ).
fof(f5539,plain,
( ~ sQ8_spl
| e10 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f1681,f128]) ).
fof(f5549,plain,
( ~ sQ16_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4583,f1745,f1706]) ).
fof(f5560,plain,
( ~ sQ15_spl
| e13 != op1(e11,e13) ),
inference(backward_demodulation,[status(thm)],[f1703,f134]) ).
fof(f5575,plain,
( sQ188_spl
| ~ sQ42_spl
| h3(e12) != op2(h3(e12),h3(e12)) ),
inference(backward_demodulation,[status(thm)],[f1791,f2342]) ).
fof(f5578,plain,
( ~ sQ42_spl
| ~ sQ26_spl ),
inference(split_clause,[status(thm)],[f4670,f1738,f1790]) ).
fof(f5610,plain,
( ~ sQ261_spl
| ~ sQ101_spl ),
inference(split_clause,[status(thm)],[f4823,f2014,f2635]) ).
fof(f5614,plain,
( ~ sQ186_spl
| ~ sQ258_spl
| e22 != h3(e13) ),
inference(backward_demodulation,[status(thm)],[f5615,f3954]) ).
fof(f5615,plain,
( ~ sQ186_spl
| ~ sQ258_spl
| h3(e13) = op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2623,f5076]) ).
fof(f5619,plain,
( ~ sQ81_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1950,f3952]) ).
fof(f5620,plain,
~ sQ81_spl,
inference(contradiction_clause,[status(thm)],[f5619]) ).
fof(f5631,plain,
( sQ213_spl
| ~ sQ50_spl
| h4(e12) != op2(h4(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f1817,f3997]) ).
fof(f5636,plain,
( ~ sQ57_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5509,f216]) ).
fof(f5637,plain,
( ~ sQ57_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f5636]) ).
fof(f5640,plain,
( ~ sQ114_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f5433,f2082,f2056]) ).
fof(f5644,plain,
( ~ sQ122_spl
| ~ sQ90_spl ),
inference(split_clause,[status(thm)],[f4132,f1978,f2082]) ).
fof(f5663,plain,
( ~ sQ15_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f5560,f1754,f1702]) ).
fof(f5666,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| h2(e11) = op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f274,f5232]) ).
fof(f5667,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| h2(e11) = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f274,f5666]) ).
fof(f5669,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| h4(e11) = e23 ),
inference(backward_demodulation,[status(thm)],[f2099,f5094]) ).
fof(f5671,plain,
( sQ208_spl
| ~ sQ127_spl
| h4(op1(e11,e13)) != op2(e23,h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f4286,f2406]) ).
fof(f5677,plain,
( ~ sQ127_spl
| op2(e23,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f4286,f3989]) ).
fof(f5682,plain,
( ~ sQ270_spl
| ~ sQ127_spl
| e23 = e20 ),
inference(backward_demodulation,[status(thm)],[f4764,f2674]) ).
fof(f5685,plain,
( ~ sQ125_spl
| ~ sQ127_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f2099,f2093]) ).
fof(f5686,plain,
( ~ sQ125_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5685,f222]) ).
fof(f5687,plain,
( ~ sQ125_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f5686]) ).
fof(f5691,plain,
( ~ sQ125_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5103,f2066,f2092]) ).
fof(f5693,plain,
( ~ sQ101_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f4564,f2066,f2014]) ).
fof(f5699,plain,
( ~ sQ89_spl
| e21 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f1976,f199]) ).
fof(f5712,plain,
( ~ sQ186_spl
| ~ sQ258_spl
| ~ sQ267_spl ),
inference(split_clause,[status(thm)],[f5614,f2660,f2622,f2334]) ).
fof(f5717,plain,
( sQ142_spl
| ~ sQ42_spl
| e22 != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f3968,f4304]) ).
fof(f5719,plain,
( sQ134_spl
| ~ sQ8_spl
| h1(e10) != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1681,f4092]) ).
fof(f5720,plain,
( sQ134_spl
| ~ sQ8_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f270,f5719]) ).
fof(f5734,plain,
( ~ sQ8_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5539,f1732,f1680]) ).
fof(f5762,plain,
( ~ sQ76_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f5430,f1985,f1933]) ).
fof(f5766,plain,
( ~ sQ87_spl
| sQ175_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4316,f2300]) ).
fof(f5767,plain,
( ~ sQ87_spl
| sQ175_spl ),
inference(contradiction_clause,[status(thm)],[f5766]) ).
fof(f5769,plain,
( ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| h3(e11) = e22 ),
inference(backward_demodulation,[status(thm)],[f2031,f4865]) ).
fof(f5771,plain,
( ~ sQ106_spl
| sQ265_spl ),
inference(split_clause,[status(thm)],[f4303,f2652,f2030]) ).
fof(f5772,plain,
( ~ sQ179_spl
| ~ sQ106_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f5265]) ).
fof(f5778,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2015,f2012]) ).
fof(f5779,plain,
( ~ sQ100_spl
| ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5778,f218]) ).
fof(f5780,plain,
( ~ sQ100_spl
| ~ sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f5779]) ).
fof(f5790,plain,
( ~ sQ20_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5342,f1745,f1719]) ).
fof(f5803,plain,
( ~ sQ59_spl
| op1(e13,e11) != e13 ),
inference(forward_demodulation,[status(thm)],[f1846,f161]) ).
fof(f5813,plain,
( ~ sQ44_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f5455,f1745,f1797]) ).
fof(f5823,plain,
( ~ sQ18_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f5489,f1816,f1712]) ).
fof(f5856,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1817,f1811]) ).
fof(f5857,plain,
( ~ sQ48_spl
| ~ sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5856,f213]) ).
fof(f5858,plain,
( ~ sQ48_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f5857]) ).
fof(f5859,plain,
( ~ sQ89_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f5699,f1988,f1975]) ).
fof(f5864,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| e13 = e11 ),
inference(backward_demodulation,[status(thm)],[f1742,f1736]) ).
fof(f5867,plain,
( sQ134_spl
| ~ sQ8_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f5720,f1920,f1680,f2170]) ).
fof(f5868,plain,
( sQ188_spl
| ~ sQ42_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(h3(e12),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5772,f5575]) ).
fof(f5869,plain,
( sQ188_spl
| ~ sQ42_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5772,f5868]) ).
fof(f5870,plain,
( sQ188_spl
| ~ sQ42_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5772,f5869]) ).
fof(f5871,plain,
( sQ188_spl
| ~ sQ42_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f5870]) ).
fof(f5872,plain,
( sQ188_spl
| ~ sQ42_spl
| ~ sQ179_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5871]) ).
fof(f5873,plain,
( sQ188_spl
| ~ sQ42_spl
| ~ sQ179_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f5872]) ).
fof(f5881,plain,
( ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| h3(e13) = op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5772,f5076]) ).
fof(f5882,plain,
( ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| h3(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f5881]) ).
fof(f5883,plain,
( ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| sQ267_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5882,f2662]) ).
fof(f5884,plain,
( ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| sQ267_spl ),
inference(contradiction_clause,[status(thm)],[f5883]) ).
fof(f5897,plain,
( ~ sQ91_spl
| ~ sQ75_spl ),
inference(split_clause,[status(thm)],[f4153,f1929,f1981]) ).
fof(f5899,plain,
( ~ sQ103_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2021,f3962]) ).
fof(f5900,plain,
~ sQ103_spl,
inference(contradiction_clause,[status(thm)],[f5899]) ).
fof(f5909,plain,
( ~ sQ25_spl
| ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5864,f216]) ).
fof(f5910,plain,
( ~ sQ25_spl
| ~ sQ27_spl ),
inference(contradiction_clause,[status(thm)],[f5909]) ).
fof(f5925,plain,
( sQ205_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| h4(op1(e11,e10)) != op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f5669,f4003]) ).
fof(f5928,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| h4(op1(e13,e11)) != op2(h4(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f5669,f2424]) ).
fof(f5937,plain,
( ~ sQ270_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5682,f220]) ).
fof(f5938,plain,
( ~ sQ270_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f5937]) ).
fof(f5939,plain,
( ~ sQ127_spl
| ~ sQ123_spl ),
inference(split_clause,[status(thm)],[f4825,f2085,f2098]) ).
fof(f5959,plain,
( sQ204_spl
| ~ sQ12_spl
| h4(e10) != op2(e23,h4(e13)) ),
inference(backward_demodulation,[status(thm)],[f1694,f4004]) ).
fof(f5960,plain,
( sQ181_spl
| ~ sQ12_spl
| h3(e10) != op2(e22,h3(e13)) ),
inference(backward_demodulation,[status(thm)],[f1694,f4024]) ).
fof(f5963,plain,
( ~ sQ12_spl
| ~ sQ44_spl ),
inference(split_clause,[status(thm)],[f5366,f1797,f1693]) ).
fof(f5969,plain,
( ~ sQ20_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f5339,f1771,f1719]) ).
fof(f5970,plain,
( ~ sQ20_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f5340,f1732,f1719]) ).
fof(f5982,plain,
( ~ sQ11_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f5311,f1845,f1689]) ).
fof(f5992,plain,
( ~ sQ202_spl
| ~ sQ274_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e21 = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f5669,f5048]) ).
fof(f5993,plain,
( ~ sQ202_spl
| ~ sQ274_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f5992]) ).
fof(f5994,plain,
( ~ sQ202_spl
| ~ sQ274_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5993,f222]) ).
fof(f5995,plain,
( ~ sQ202_spl
| ~ sQ274_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f5994]) ).
fof(f6012,plain,
( ~ sQ265_spl
| ~ sQ106_spl
| sQ266_spl ),
inference(split_clause,[status(thm)],[f5251,f2656,f2030,f2652]) ).
fof(f6036,plain,
( ~ sQ114_spl
| op2(e21,e20) != e22 ),
inference(backward_demodulation,[status(thm)],[f2057,f168]) ).
fof(f6044,plain,
( ~ sQ80_spl
| ~ sQ245_spl ),
inference(split_clause,[status(thm)],[f4454,f2567,f1946]) ).
fof(f6051,plain,
( ~ sQ87_spl
| e23 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f4316,f3972]) ).
fof(f6053,plain,
( ~ sQ87_spl
| h2(e12) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f4316,f3977]) ).
fof(f6057,plain,
( ~ sQ265_spl
| ~ sQ106_spl
| h3(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f5248]) ).
fof(f6070,plain,
( sQ143_spl
| ~ sQ109_spl
| h1(op1(e12,e13)) != e21 ),
inference(backward_demodulation,[status(thm)],[f2041,f4067]) ).
fof(f6092,plain,
( ~ sQ127_spl
| h4(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f3996]) ).
fof(f6095,plain,
( ~ sQ127_spl
| h4(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6092]) ).
fof(f6108,plain,
( ~ sQ245_spl
| ~ sQ87_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f4316,f2568]) ).
fof(f6109,plain,
( ~ sQ245_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6108,f220]) ).
fof(f6110,plain,
( ~ sQ245_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f6109]) ).
fof(f6128,plain,
( ~ sQ59_spl
| ~ sQ55_spl ),
inference(split_clause,[status(thm)],[f5803,f1832,f1845]) ).
fof(f6140,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1716,f3945]) ).
fof(f6141,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f6140]) ).
fof(f6142,plain,
( ~ sQ114_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f5426,f2703,f2056]) ).
fof(f6143,plain,
( sQ126_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f5454,f2703,f1657,f2383,f2095]) ).
fof(f6162,plain,
( ~ sQ87_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f6051,f1994,f1968]) ).
fof(f6173,plain,
( ~ sQ20_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f5338,f1706,f1719]) ).
fof(f6178,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1729,f1720]) ).
fof(f6179,plain,
( ~ sQ20_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6178,f214]) ).
fof(f6180,plain,
( ~ sQ20_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f6179]) ).
fof(f6186,plain,
( ~ sQ52_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f4638,f1849,f1823]) ).
fof(f6227,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| e12 = e11 ),
inference(backward_demodulation,[status(thm)],[f1778,f1775]) ).
fof(f6228,plain,
( ~ sQ38_spl
| ~ sQ42_spl ),
inference(split_clause,[status(thm)],[f5010,f1790,f1777]) ).
fof(f6245,plain,
( ~ sQ275_spl
| ~ sQ127_spl
| e23 = e21 ),
inference(backward_demodulation,[status(thm)],[f6095,f2695]) ).
fof(f6267,plain,
( ~ sQ42_spl
| e12 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1791,f133]) ).
fof(f6284,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1853,f1850]) ).
fof(f6285,plain,
( ~ sQ60_spl
| ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6284,f212]) ).
fof(f6286,plain,
( ~ sQ60_spl
| ~ sQ61_spl ),
inference(contradiction_clause,[status(thm)],[f6285]) ).
fof(f6302,plain,
( ~ sQ30_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f4607,f1803,f1751]) ).
fof(f6307,plain,
( ~ sQ87_spl
| ~ sQ94_spl
| h2(e12) = e22 ),
inference(backward_demodulation,[status(thm)],[f1992,f6053]) ).
fof(f6333,plain,
( ~ sQ275_spl
| ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6245,f222]) ).
fof(f6334,plain,
( ~ sQ275_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6333]) ).
fof(f6338,plain,
( ~ sQ87_spl
| ~ sQ94_spl
| sQ254_spl ),
inference(split_clause,[status(thm)],[f6307,f2605,f1991,f1968]) ).
fof(f6392,plain,
( ~ sQ54_spl
| ~ sQ50_spl ),
inference(split_clause,[status(thm)],[f4216,f1816,f1829]) ).
fof(f6393,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1833,f1830]) ).
fof(f6394,plain,
( ~ sQ54_spl
| ~ sQ55_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6393,f217]) ).
fof(f6395,plain,
( ~ sQ54_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f6394]) ).
fof(f6416,plain,
( sQ143_spl
| ~ sQ109_spl
| ~ sQ45_spl
| h1(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f1801,f6070]) ).
fof(f6417,plain,
( sQ143_spl
| ~ sQ109_spl
| ~ sQ45_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3966,f6416]) ).
fof(f6418,plain,
( sQ143_spl
| ~ sQ109_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6417]) ).
fof(f6419,plain,
( sQ143_spl
| ~ sQ109_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f6418]) ).
fof(f6433,plain,
( ~ sQ254_spl
| ~ sQ100_spl
| h2(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2012,f4795]) ).
fof(f6434,plain,
( ~ sQ254_spl
| ~ sQ100_spl
| sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6433,f2577]) ).
fof(f6435,plain,
( ~ sQ254_spl
| ~ sQ100_spl
| sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f6434]) ).
fof(f6436,plain,
( ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| h2(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f2012,f4922]) ).
fof(f6447,plain,
( ~ sQ143_spl
| h1(op1(e12,e13)) = op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3968,f2198]) ).
fof(f6448,plain,
( ~ sQ143_spl
| h1(op1(e12,e13)) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3971,f6447]) ).
fof(f6494,plain,
( sQ216_spl
| ~ sQ60_spl
| h4(e10) != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1850,f2430]) ).
fof(f6495,plain,
( sQ216_spl
| ~ sQ60_spl
| e23 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f282,f6494]) ).
fof(f6496,plain,
( sQ216_spl
| ~ sQ60_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f6095,f6495]) ).
fof(f6497,plain,
( sQ216_spl
| ~ sQ60_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6496]) ).
fof(f6498,plain,
( sQ216_spl
| ~ sQ60_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6497]) ).
fof(f6499,plain,
( sQ216_spl
| ~ sQ60_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6498]) ).
fof(f6500,plain,
( sQ216_spl
| ~ sQ60_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6499]) ).
fof(f6501,plain,
( sQ215_spl
| ~ sQ57_spl
| h4(e11) != op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1840,f2427]) ).
fof(f6502,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f5669,f6501]) ).
fof(f6503,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f6095,f6502]) ).
fof(f6504,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f6503]) ).
fof(f6505,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6504]) ).
fof(f6506,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6505]) ).
fof(f6507,plain,
( sQ215_spl
| ~ sQ57_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6506]) ).
fof(f6508,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ55_spl
| h4(e13) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f1833,f5928]) ).
fof(f6509,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ55_spl
| e23 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6508]) ).
fof(f6510,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ55_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6509]) ).
fof(f6511,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ55_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6510]) ).
fof(f6512,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ55_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6511]) ).
fof(f6513,plain,
( sQ214_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ55_spl ),
inference(contradiction_clause,[status(thm)],[f6512]) ).
fof(f6514,plain,
( sQ213_spl
| ~ sQ50_spl
| h4(e12) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f1817,f3997]) ).
fof(f6515,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ127_spl
| e23 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f6514]) ).
fof(f6516,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6515]) ).
fof(f6517,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6516]) ).
fof(f6518,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6517]) ).
fof(f6519,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6518]) ).
fof(f6520,plain,
( sQ212_spl
| ~ sQ45_spl
| h4(e11) != op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1801,f2418]) ).
fof(f6521,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f5669,f6520]) ).
fof(f6522,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f4764,f6521]) ).
fof(f6523,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6522]) ).
fof(f6524,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6523]) ).
fof(f6525,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6524]) ).
fof(f6526,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6525]) ).
fof(f6527,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ127_spl
| e23 != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f4764,f4307]) ).
fof(f6528,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f4764,f6527]) ).
fof(f6529,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f6528]) ).
fof(f6530,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6529]) ).
fof(f6531,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6530]) ).
fof(f6532,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6531]) ).
fof(f6533,plain,
( sQ210_spl
| ~ sQ36_spl
| h4(e10) != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f1772,f2412]) ).
fof(f6534,plain,
( sQ210_spl
| ~ sQ36_spl
| e23 != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f282,f6533]) ).
fof(f6535,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f4764,f6534]) ).
fof(f6536,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f5669,f6535]) ).
fof(f6537,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6536]) ).
fof(f6538,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6537]) ).
fof(f6539,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6538]) ).
fof(f6540,plain,
( sQ208_spl
| ~ sQ127_spl
| ~ sQ30_spl
| h4(e12) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1752,f5671]) ).
fof(f6541,plain,
( sQ208_spl
| ~ sQ127_spl
| ~ sQ30_spl
| e23 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f4764,f6540]) ).
fof(f6542,plain,
( sQ208_spl
| ~ sQ127_spl
| ~ sQ30_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6541]) ).
fof(f6543,plain,
( sQ208_spl
| ~ sQ127_spl
| ~ sQ30_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6542]) ).
fof(f6544,plain,
( sQ208_spl
| ~ sQ127_spl
| ~ sQ30_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6543]) ).
fof(f6545,plain,
( sQ208_spl
| ~ sQ127_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f6544]) ).
fof(f6546,plain,
( sQ207_spl
| ~ sQ27_spl
| h4(e13) != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1742,f2403]) ).
fof(f6547,plain,
( sQ207_spl
| ~ sQ27_spl
| ~ sQ127_spl
| e23 != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f6095,f6546]) ).
fof(f6548,plain,
( sQ207_spl
| ~ sQ27_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f5669,f6547]) ).
fof(f6549,plain,
( sQ207_spl
| ~ sQ27_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f6548]) ).
fof(f6550,plain,
( sQ207_spl
| ~ sQ27_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6549]) ).
fof(f6551,plain,
( sQ207_spl
| ~ sQ27_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6550]) ).
fof(f6552,plain,
( sQ207_spl
| ~ sQ27_spl
| ~ sQ127_spl
| ~ sQ201_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6551]) ).
fof(f6553,plain,
( sQ205_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ16_spl
| h4(e10) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1707,f5925]) ).
fof(f6554,plain,
( sQ205_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ16_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f282,f6553]) ).
fof(f6555,plain,
( sQ205_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ16_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6554]) ).
fof(f6556,plain,
( sQ205_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6555]) ).
fof(f6557,plain,
( sQ205_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f6556]) ).
fof(f6558,plain,
( sQ204_spl
| ~ sQ15_spl
| h4(e13) != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1703,f4004]) ).
fof(f6559,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f6095,f6558]) ).
fof(f6560,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f6095,f6559]) ).
fof(f6561,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6560]) ).
fof(f6562,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6561]) ).
fof(f6563,plain,
( sQ204_spl
| ~ sQ15_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6562]) ).
fof(f6564,plain,
( sQ203_spl
| ~ sQ8_spl
| h4(e10) != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1681,f4005]) ).
fof(f6565,plain,
( sQ203_spl
| ~ sQ8_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f282,f6564]) ).
fof(f6566,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f6565]) ).
fof(f6567,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f6566]) ).
fof(f6568,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6567]) ).
fof(f6569,plain,
( sQ203_spl
| ~ sQ8_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f6568]) ).
fof(f6570,plain,
( sQ193_spl
| ~ sQ60_spl
| h3(e10) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1850,f2357]) ).
fof(f6571,plain,
( sQ193_spl
| ~ sQ60_spl
| e22 != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f6570]) ).
fof(f6572,plain,
( sQ193_spl
| ~ sQ60_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5882,f6571]) ).
fof(f6573,plain,
( sQ193_spl
| ~ sQ60_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f6572]) ).
fof(f6574,plain,
( sQ193_spl
| ~ sQ60_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6573]) ).
fof(f6575,plain,
( sQ193_spl
| ~ sQ60_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6574]) ).
fof(f6576,plain,
( sQ193_spl
| ~ sQ60_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f6575]) ).
fof(f6577,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ57_spl
| h3(e11) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f1840,f5250]) ).
fof(f6578,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ57_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f6577]) ).
fof(f6579,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ57_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f6578]) ).
fof(f6580,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ57_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6579]) ).
fof(f6581,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ57_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ186_spl
| ~ sQ179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6580]) ).
fof(f6582,plain,
( sQ192_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ57_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ186_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f6581]) ).
fof(f6583,plain,
( sQ191_spl
| ~ sQ55_spl
| h3(e13) != op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1833,f2351]) ).
fof(f6584,plain,
( sQ191_spl
| ~ sQ55_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f5882,f6583]) ).
fof(f6585,plain,
( sQ191_spl
| ~ sQ55_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f5882,f6584]) ).
fof(f6586,plain,
( sQ191_spl
| ~ sQ55_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f6585]) ).
fof(f6587,plain,
( sQ191_spl
| ~ sQ55_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6586]) ).
fof(f6588,plain,
( sQ191_spl
| ~ sQ55_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6587]) ).
fof(f6589,plain,
( sQ191_spl
| ~ sQ55_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6588]) ).
fof(f6590,plain,
( sQ190_spl
| ~ sQ267_spl
| ~ sQ50_spl
| h3(e12) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f1817,f5415]) ).
fof(f6591,plain,
( sQ190_spl
| ~ sQ267_spl
| ~ sQ50_spl
| ~ sQ265_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6057,f6590]) ).
fof(f6592,plain,
( sQ190_spl
| ~ sQ267_spl
| ~ sQ50_spl
| ~ sQ265_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6591]) ).
fof(f6593,plain,
( sQ190_spl
| ~ sQ267_spl
| ~ sQ50_spl
| ~ sQ265_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6592]) ).
fof(f6594,plain,
( sQ190_spl
| ~ sQ267_spl
| ~ sQ50_spl
| ~ sQ265_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f6593]) ).
fof(f6595,plain,
( sQ189_spl
| ~ sQ45_spl
| h3(e11) != op2(h3(e12),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1801,f2345]) ).
fof(f6596,plain,
( sQ189_spl
| ~ sQ45_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != op2(h3(e12),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5769,f6595]) ).
fof(f6597,plain,
( sQ189_spl
| ~ sQ45_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f6057,f6596]) ).
fof(f6598,plain,
( sQ189_spl
| ~ sQ45_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f6597]) ).
fof(f6599,plain,
( sQ189_spl
| ~ sQ45_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6598]) ).
fof(f6600,plain,
( sQ189_spl
| ~ sQ45_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6599]) ).
fof(f6601,plain,
( sQ189_spl
| ~ sQ45_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f6600]) ).
fof(f6602,plain,
( sQ187_spl
| ~ sQ36_spl
| h3(e10) != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1772,f2339]) ).
fof(f6603,plain,
( sQ187_spl
| ~ sQ36_spl
| e22 != op2(h3(e12),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f278,f6602]) ).
fof(f6604,plain,
( sQ187_spl
| ~ sQ36_spl
| ~ sQ265_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f6057,f6603]) ).
fof(f6605,plain,
( sQ187_spl
| ~ sQ36_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f6604]) ).
fof(f6606,plain,
( sQ187_spl
| ~ sQ36_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6605]) ).
fof(f6607,plain,
( sQ187_spl
| ~ sQ36_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6606]) ).
fof(f6608,plain,
( sQ187_spl
| ~ sQ36_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6607]) ).
fof(f6609,plain,
( sQ185_spl
| ~ sQ106_spl
| ~ sQ30_spl
| h3(e12) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1752,f5302]) ).
fof(f6610,plain,
( sQ185_spl
| ~ sQ106_spl
| ~ sQ30_spl
| ~ sQ265_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f6057,f6609]) ).
fof(f6611,plain,
( sQ185_spl
| ~ sQ106_spl
| ~ sQ30_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f6610]) ).
fof(f6612,plain,
( sQ185_spl
| ~ sQ106_spl
| ~ sQ30_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6611]) ).
fof(f6613,plain,
( sQ185_spl
| ~ sQ106_spl
| ~ sQ30_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6612]) ).
fof(f6614,plain,
( sQ185_spl
| ~ sQ106_spl
| ~ sQ30_spl
| ~ sQ265_spl
| ~ sQ186_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f6613]) ).
fof(f6615,plain,
( sQ184_spl
| ~ sQ27_spl
| h3(e13) != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1742,f2330]) ).
fof(f6616,plain,
( sQ184_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5882,f6615]) ).
fof(f6617,plain,
( sQ184_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5769,f6616]) ).
fof(f6618,plain,
( sQ184_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ265_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6057,f6617]) ).
fof(f6619,plain,
( sQ184_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ265_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6618]) ).
fof(f6620,plain,
( sQ184_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6619]) ).
fof(f6621,plain,
( sQ184_spl
| ~ sQ27_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f6620]) ).
fof(f6622,plain,
( sQ183_spl
| ~ sQ106_spl
| ~ sQ21_spl
| h3(e11) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f1723,f5268]) ).
fof(f6623,plain,
( sQ183_spl
| ~ sQ106_spl
| ~ sQ21_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f6622]) ).
fof(f6624,plain,
( sQ183_spl
| ~ sQ106_spl
| ~ sQ21_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f6623]) ).
fof(f6625,plain,
( sQ183_spl
| ~ sQ106_spl
| ~ sQ21_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6624]) ).
fof(f6626,plain,
( sQ183_spl
| ~ sQ106_spl
| ~ sQ21_spl
| ~ sQ178_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6625]) ).
fof(f6627,plain,
( sQ183_spl
| ~ sQ106_spl
| ~ sQ21_spl
| ~ sQ178_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f6626]) ).
fof(f6628,plain,
( sQ182_spl
| ~ sQ16_spl
| h3(e10) != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f1707,f4023]) ).
fof(f6629,plain,
( sQ182_spl
| ~ sQ16_spl
| e22 != op2(h3(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f278,f6628]) ).
fof(f6630,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f6629]) ).
fof(f6631,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6630]) ).
fof(f6632,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6631]) ).
fof(f6633,plain,
( sQ182_spl
| ~ sQ16_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f6632]) ).
fof(f6634,plain,
( sQ181_spl
| ~ sQ15_spl
| h3(e13) != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f1703,f4024]) ).
fof(f6635,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5882,f6634]) ).
fof(f6636,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f6635]) ).
fof(f6637,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6636]) ).
fof(f6638,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6637]) ).
fof(f6639,plain,
( sQ181_spl
| ~ sQ15_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f6638]) ).
fof(f6640,plain,
( sQ180_spl
| ~ sQ8_spl
| h3(e10) != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f1681,f4025]) ).
fof(f6641,plain,
( sQ180_spl
| ~ sQ8_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f278,f6640]) ).
fof(f6642,plain,
( sQ180_spl
| ~ sQ8_spl
| ~ sQ265_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6057,f6641]) ).
fof(f6643,plain,
( sQ180_spl
| ~ sQ8_spl
| ~ sQ265_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6642]) ).
fof(f6644,plain,
( sQ180_spl
| ~ sQ8_spl
| ~ sQ265_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6643]) ).
fof(f6645,plain,
( sQ180_spl
| ~ sQ8_spl
| ~ sQ265_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f6644]) ).
fof(f6646,plain,
( sQ169_spl
| ~ sQ57_spl
| h2(e11) != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1840,f2281]) ).
fof(f6647,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ87_spl
| e23 != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4316,f6646]) ).
fof(f6648,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e23 != op2(e20,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f6436,f6647]) ).
fof(f6649,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e23 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f2606,f6648]) ).
fof(f6650,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ75_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1930,f6649]) ).
fof(f6651,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ75_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6650]) ).
fof(f6652,plain,
( sQ169_spl
| ~ sQ57_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ75_spl ),
inference(contradiction_clause,[status(thm)],[f6651]) ).
fof(f6656,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1976,f1973]) ).
fof(f6657,plain,
( ~ sQ88_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6656,f218]) ).
fof(f6658,plain,
( ~ sQ88_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f6657]) ).
fof(f6694,plain,
( sQ168_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| h2(op1(e13,e11)) != op2(e20,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f6436,f2278]) ).
fof(f6695,plain,
( sQ168_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| h2(op1(e13,e11)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f4316,f6694]) ).
fof(f6696,plain,
( sQ168_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| ~ sQ76_spl
| h2(op1(e13,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1934,f6695]) ).
fof(f6697,plain,
( ~ sQ42_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f6267,f1842,f1790]) ).
fof(f6757,plain,
( sQ167_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| h2(op1(e13,e10)) != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f6436,f4037]) ).
fof(f6758,plain,
( sQ167_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| h2(op1(e13,e10)) != e22 ),
inference(forward_demodulation,[status(thm)],[f3958,f6757]) ).
fof(f6759,plain,
( sQ166_spl
| ~ sQ45_spl
| h2(e11) != op2(h2(e12),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1801,f2272]) ).
fof(f6760,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ87_spl
| e23 != op2(h2(e12),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4316,f6759]) ).
fof(f6761,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ87_spl
| ~ sQ254_spl
| e23 != op2(e22,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2606,f6760]) ).
fof(f6762,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ87_spl
| ~ sQ254_spl
| ~ sQ163_spl
| ~ sQ100_spl
| e23 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f6436,f6761]) ).
fof(f6763,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ87_spl
| ~ sQ254_spl
| ~ sQ163_spl
| ~ sQ100_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3965,f6762]) ).
fof(f6764,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ87_spl
| ~ sQ254_spl
| ~ sQ163_spl
| ~ sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6763]) ).
fof(f6765,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ87_spl
| ~ sQ254_spl
| ~ sQ163_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f6764]) ).
fof(f6766,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ254_spl
| e22 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2606,f4305]) ).
fof(f6767,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ254_spl
| e22 != op2(e22,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f2606,f6766]) ).
fof(f6768,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ254_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f2606,f6767]) ).
fof(f6769,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ254_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f6768]) ).
fof(f6770,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ254_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6769]) ).
fof(f6771,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ254_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f6770]) ).
fof(f6772,plain,
( sQ164_spl
| ~ sQ36_spl
| h2(e10) != op2(h2(e12),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1772,f2266]) ).
fof(f6773,plain,
( sQ164_spl
| ~ sQ36_spl
| e21 != op2(h2(e12),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f274,f6772]) ).
fof(f6774,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ254_spl
| e21 != op2(e22,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f2606,f6773]) ).
fof(f6775,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ254_spl
| ~ sQ87_spl
| e21 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f4316,f6774]) ).
fof(f6776,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ109_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2041,f6775]) ).
fof(f6777,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ109_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f6776]) ).
fof(f6778,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f6777]) ).
fof(f6783,plain,
( ~ sQ30_spl
| op1(e11,e10) != e12 ),
inference(forward_demodulation,[status(thm)],[f1752,f148]) ).
fof(f6795,plain,
( ~ sQ18_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1713,f6783]) ).
fof(f6796,plain,
( ~ sQ18_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f6795]) ).
fof(f6804,plain,
( ~ sQ57_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f4618,f1852,f1839]) ).
fof(f6824,plain,
( ~ sQ23_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f4664,f1741,f1728]) ).
fof(f6833,plain,
( sQ134_spl
| ~ sQ75_spl
| h1(op1(e10,e12)) != e23 ),
inference(forward_demodulation,[status(thm)],[f1930,f4092]) ).
fof(f6887,plain,
( sQ168_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ55_spl
| h2(e13) != e20 ),
inference(backward_demodulation,[status(thm)],[f1833,f6696]) ).
fof(f6990,plain,
( ~ sQ21_spl
| e11 != op1(e11,e12) ),
inference(forward_demodulation,[status(thm)],[f1723,f149]) ).
fof(f6992,plain,
( ~ sQ21_spl
| e11 != op1(e11,e13) ),
inference(forward_demodulation,[status(thm)],[f1723,f150]) ).
fof(f6995,plain,
( ~ sQ21_spl
| e11 != op1(e12,e11) ),
inference(forward_demodulation,[status(thm)],[f1723,f125]) ).
fof(f7002,plain,
( ~ sQ21_spl
| e11 != op1(e13,e11) ),
inference(forward_demodulation,[status(thm)],[f1723,f126]) ).
fof(f7021,plain,
( sQ168_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| ~ sQ76_spl
| ~ sQ55_spl
| ~ sQ247_spl ),
inference(split_clause,[status(thm)],[f6887,f2575,f1832,f1933,f1968,f2011,f2605,f2261,f2276]) ).
fof(f7029,plain,
( sQ167_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ50_spl
| h2(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f1817,f6758]) ).
fof(f7030,plain,
( sQ167_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ50_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2606,f7029]) ).
fof(f7031,plain,
( sQ167_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7030]) ).
fof(f7032,plain,
( sQ167_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f7031]) ).
fof(f7037,plain,
( sQ162_spl
| ~ sQ30_spl
| h2(e12) != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1752,f2260]) ).
fof(f7038,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ254_spl
| e22 != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f2606,f7037]) ).
fof(f7039,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ254_spl
| ~ sQ87_spl
| e22 != op2(e23,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f4316,f7038]) ).
fof(f7040,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ100_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f6436,f7039]) ).
fof(f7041,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ100_spl
| ~ sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2057,f7040]) ).
fof(f7042,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ100_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7041]) ).
fof(f7043,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ254_spl
| ~ sQ87_spl
| ~ sQ163_spl
| ~ sQ100_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f7042]) ).
fof(f7048,plain,
( sQ161_spl
| ~ sQ27_spl
| h2(e13) != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1742,f2257]) ).
fof(f7049,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e20 != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f6436,f7048]) ).
fof(f7050,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| e20 != op2(e23,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f4316,f7049]) ).
fof(f7051,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f2606,f7050]) ).
fof(f7052,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2077,f7051]) ).
fof(f7053,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7052]) ).
fof(f7054,plain,
( sQ161_spl
| ~ sQ27_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ87_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f7053]) ).
fof(f7059,plain,
( sQ160_spl
| ~ sQ21_spl
| h2(e11) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1723,f2254]) ).
fof(f7060,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ87_spl
| e23 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4316,f7059]) ).
fof(f7061,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ87_spl
| e23 != op2(e23,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f4316,f7060]) ).
fof(f7062,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ87_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4316,f7061]) ).
fof(f7063,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ87_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f7062]) ).
fof(f7064,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ87_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7063]) ).
fof(f7065,plain,
( sQ160_spl
| ~ sQ21_spl
| ~ sQ87_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f7064]) ).
fof(f7070,plain,
( sQ159_spl
| ~ sQ16_spl
| h2(e10) != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f1707,f4043]) ).
fof(f7071,plain,
( sQ159_spl
| ~ sQ16_spl
| e21 != op2(h2(e11),e21) ),
inference(forward_demodulation,[status(thm)],[f274,f7070]) ).
fof(f7072,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ87_spl
| e21 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f4316,f7071]) ).
fof(f7073,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ117_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2067,f7072]) ).
fof(f7074,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ117_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7073]) ).
fof(f7075,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ87_spl
| ~ sQ117_spl ),
inference(contradiction_clause,[status(thm)],[f7074]) ).
fof(f7080,plain,
( sQ157_spl
| ~ sQ8_spl
| h2(e10) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1681,f4045]) ).
fof(f7081,plain,
( sQ157_spl
| ~ sQ8_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f7080]) ).
fof(f7082,plain,
( sQ157_spl
| ~ sQ8_spl
| ~ sQ254_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f2606,f7081]) ).
fof(f7083,plain,
( sQ157_spl
| ~ sQ8_spl
| ~ sQ254_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1976,f7082]) ).
fof(f7084,plain,
( sQ157_spl
| ~ sQ8_spl
| ~ sQ254_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7083]) ).
fof(f7085,plain,
( sQ157_spl
| ~ sQ8_spl
| ~ sQ254_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f7084]) ).
fof(f7094,plain,
( sQ158_spl
| ~ sQ15_spl
| h2(e13) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1703,f4044]) ).
fof(f7095,plain,
( sQ158_spl
| ~ sQ15_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e20 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f6436,f7094]) ).
fof(f7096,plain,
( sQ158_spl
| ~ sQ15_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f6436,f7095]) ).
fof(f7097,plain,
( sQ158_spl
| ~ sQ15_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1947,f7096]) ).
fof(f7098,plain,
( sQ158_spl
| ~ sQ15_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7097]) ).
fof(f7099,plain,
( sQ158_spl
| ~ sQ15_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f7098]) ).
fof(f7100,plain,
( sQ170_spl
| ~ sQ60_spl
| h2(e10) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1850,f2284]) ).
fof(f7101,plain,
( sQ170_spl
| ~ sQ60_spl
| e21 != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f7100]) ).
fof(f7102,plain,
( sQ170_spl
| ~ sQ60_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e21 != op2(e20,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f6436,f7101]) ).
fof(f7103,plain,
( sQ170_spl
| ~ sQ60_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f6436,f7102]) ).
fof(f7104,plain,
( sQ170_spl
| ~ sQ60_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1898,f7103]) ).
fof(f7105,plain,
( sQ170_spl
| ~ sQ60_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7104]) ).
fof(f7106,plain,
( sQ170_spl
| ~ sQ60_spl
| ~ sQ163_spl
| ~ sQ254_spl
| ~ sQ100_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f7105]) ).
fof(f7111,plain,
( sQ137_spl
| ~ sQ23_spl
| e23 != h2(e11) ),
inference(forward_demodulation,[status(thm)],[f3971,f4317]) ).
fof(f7112,plain,
( sQ137_spl
| ~ sQ23_spl
| ~ sQ87_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4316,f7111]) ).
fof(f7113,plain,
( sQ137_spl
| ~ sQ23_spl
| ~ sQ87_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7112]) ).
fof(f7114,plain,
( sQ137_spl
| ~ sQ23_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f7113]) ).
fof(f7115,plain,
( sQ223_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f6095,f2454]) ).
fof(f7116,plain,
( sQ223_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7115]) ).
fof(f7117,plain,
( sQ223_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f7116]) ).
fof(f7130,plain,
( sQ193_spl
| ~ sQ63_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5882,f4291]) ).
fof(f7131,plain,
( sQ193_spl
| ~ sQ63_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5882,f7130]) ).
fof(f7132,plain,
( sQ193_spl
| ~ sQ63_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f7131]) ).
fof(f7133,plain,
( sQ193_spl
| ~ sQ63_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7132]) ).
fof(f7134,plain,
( sQ193_spl
| ~ sQ63_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7133]) ).
fof(f7135,plain,
( sQ193_spl
| ~ sQ63_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f7134]) ).
fof(f7139,plain,
( ~ sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f6992,f1748,f1722]) ).
fof(f7148,plain,
( ~ sQ21_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f6995,f1774,f1722]) ).
fof(f7157,plain,
( sQ181_spl
| ~ sQ12_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f278,f5960]) ).
fof(f7158,plain,
( sQ181_spl
| ~ sQ12_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f7157]) ).
fof(f7159,plain,
( sQ181_spl
| ~ sQ12_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7158]) ).
fof(f7160,plain,
( sQ181_spl
| ~ sQ12_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7159]) ).
fof(f7161,plain,
( sQ181_spl
| ~ sQ12_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f7160]) ).
fof(f7164,plain,
( sQ180_spl
| ~ sQ11_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5882,f4244]) ).
fof(f7165,plain,
( sQ180_spl
| ~ sQ11_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ265_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6057,f7164]) ).
fof(f7166,plain,
( sQ180_spl
| ~ sQ11_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ265_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7165]) ).
fof(f7167,plain,
( sQ180_spl
| ~ sQ11_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7166]) ).
fof(f7168,plain,
( sQ180_spl
| ~ sQ11_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f7167]) ).
fof(f7172,plain,
( sQ191_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| h3(op1(e13,e11)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f5264]) ).
fof(f7173,plain,
( sQ191_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| h3(op1(e13,e11)) != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7172]) ).
fof(f7188,plain,
( sQ134_spl
| ~ sQ75_spl
| ~ sQ11_spl
| h1(e13) != e23 ),
inference(backward_demodulation,[status(thm)],[f1690,f6833]) ).
fof(f7205,plain,
( sQ142_spl
| ~ sQ42_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f5717,f2652,f1790,f2194]) ).
fof(f7206,plain,
( ~ sQ21_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f6990,f1735,f1722]) ).
fof(f7209,plain,
( ~ sQ21_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f7002,f1826,f1722]) ).
fof(f7242,plain,
( sQ141_spl
| ~ sQ36_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f4940,f2011,f1771,f2191]) ).
fof(f7284,plain,
( sQ192_spl
| ~ sQ267_spl
| ~ sQ265_spl
| ~ sQ106_spl
| h3(op1(e13,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6057,f5411]) ).
fof(f7285,plain,
( sQ192_spl
| ~ sQ267_spl
| ~ sQ265_spl
| ~ sQ106_spl
| h3(op1(e13,e12)) != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7284]) ).
fof(f7325,plain,
( sQ184_spl
| ~ sQ25_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5769,f4883]) ).
fof(f7326,plain,
( sQ184_spl
| ~ sQ25_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e12)) ),
inference(forward_demodulation,[status(thm)],[f5769,f7325]) ).
fof(f7327,plain,
( sQ184_spl
| ~ sQ25_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f6057,f7326]) ).
fof(f7328,plain,
( sQ184_spl
| ~ sQ25_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7327]) ).
fof(f7329,plain,
( sQ184_spl
| ~ sQ25_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7328]) ).
fof(f7330,plain,
( sQ184_spl
| ~ sQ25_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f7329]) ).
fof(f7332,plain,
( sQ145_spl
| ~ sQ53_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f5344,f2066,f1826,f2203]) ).
fof(f7336,plain,
( sQ191_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ53_spl
| h3(e11) != e22 ),
inference(backward_demodulation,[status(thm)],[f1827,f7173]) ).
fof(f7341,plain,
( sQ192_spl
| ~ sQ267_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ56_spl
| h3(e10) != e22 ),
inference(backward_demodulation,[status(thm)],[f1837,f7285]) ).
fof(f7353,plain,
( sQ134_spl
| ~ sQ75_spl
| ~ sQ11_spl
| ~ sQ154_spl ),
inference(split_clause,[status(thm)],[f7188,f2233,f1689,f1929,f2170]) ).
fof(f7384,plain,
( sQ183_spl
| ~ sQ23_spl
| h3(e13) != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f1729,f2327]) ).
fof(f7385,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| e22 != op2(h3(e11),h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f5882,f7384]) ).
fof(f7386,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(e22,h3(e11)) ),
inference(forward_demodulation,[status(thm)],[f5769,f7385]) ).
fof(f7387,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5769,f7386]) ).
fof(f7388,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7387]) ).
fof(f7389,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7388]) ).
fof(f7390,plain,
( sQ183_spl
| ~ sQ23_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ106_spl
| ~ sQ178_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f7389]) ).
fof(f7393,plain,
( sQ191_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| ~ sQ53_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f7336,f2652,f1826,f2313,f2334,f2030,f2349]) ).
fof(f7394,plain,
( sQ192_spl
| ~ sQ267_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ56_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f278,f7341]) ).
fof(f7395,plain,
( sQ192_spl
| ~ sQ267_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ56_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7394]) ).
fof(f7396,plain,
( sQ192_spl
| ~ sQ267_spl
| ~ sQ265_spl
| ~ sQ106_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f7395]) ).
fof(f7412,plain,
( sQ215_spl
| ~ sQ56_spl
| h4(e10) != op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1837,f2427]) ).
fof(f7413,plain,
( sQ215_spl
| ~ sQ56_spl
| e23 != op2(h4(e13),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f282,f7412]) ).
fof(f7414,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f6095,f7413]) ).
fof(f7415,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f7414]) ).
fof(f7416,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f7415]) ).
fof(f7417,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7416]) ).
fof(f7418,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f7417]) ).
fof(f7426,plain,
( sQ207_spl
| ~ sQ25_spl
| h4(e11) != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1736,f2403]) ).
fof(f7427,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f5669,f7426]) ).
fof(f7428,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f5669,f7427]) ).
fof(f7429,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f4764,f7428]) ).
fof(f7430,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2099,f7429]) ).
fof(f7431,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7430]) ).
fof(f7432,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ127_spl ),
inference(contradiction_clause,[status(thm)],[f7431]) ).
fof(f7461,plain,
( sQ169_spl
| ~ sQ56_spl
| h2(e10) != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1837,f2281]) ).
fof(f7462,plain,
( sQ169_spl
| ~ sQ56_spl
| e21 != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f274,f7461]) ).
fof(f7478,plain,
( sQ144_spl
| ~ sQ114_spl
| ~ sQ50_spl
| h1(e12) != e22 ),
inference(forward_demodulation,[status(thm)],[f1817,f4137]) ).
fof(f7479,plain,
( sQ144_spl
| ~ sQ114_spl
| ~ sQ50_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3968,f7478]) ).
fof(f7480,plain,
( sQ144_spl
| ~ sQ114_spl
| ~ sQ50_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7479]) ).
fof(f7481,plain,
( sQ144_spl
| ~ sQ114_spl
| ~ sQ50_spl ),
inference(contradiction_clause,[status(thm)],[f7480]) ).
fof(f7509,plain,
( sQ139_spl
| ~ sQ30_spl
| h1(e12) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1752,f4081]) ).
fof(f7510,plain,
( sQ139_spl
| ~ sQ30_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3968,f7509]) ).
fof(f7511,plain,
( sQ139_spl
| ~ sQ30_spl
| ~ sQ94_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1992,f7510]) ).
fof(f7512,plain,
( sQ139_spl
| ~ sQ30_spl
| ~ sQ94_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7511]) ).
fof(f7513,plain,
( sQ139_spl
| ~ sQ30_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f7512]) ).
fof(f7515,plain,
( sQ146_spl
| ~ sQ56_spl
| h1(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1837,f4061]) ).
fof(f7516,plain,
( sQ146_spl
| ~ sQ56_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f270,f7515]) ).
fof(f7517,plain,
( sQ146_spl
| ~ sQ56_spl
| ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2077,f7516]) ).
fof(f7518,plain,
( sQ146_spl
| ~ sQ56_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7517]) ).
fof(f7519,plain,
( sQ146_spl
| ~ sQ56_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f7518]) ).
fof(f7528,plain,
( sQ232_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f270,f2514]) ).
fof(f7529,plain,
( sQ232_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7528]) ).
fof(f7530,plain,
sQ232_spl,
inference(contradiction_clause,[status(thm)],[f7529]) ).
fof(f7555,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != op2(h3(e11),h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5769,f4577]) ).
fof(f7556,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| e22 != op2(e22,h3(e13)) ),
inference(forward_demodulation,[status(thm)],[f5769,f7555]) ).
fof(f7557,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f5882,f7556]) ).
fof(f7558,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f7557]) ).
fof(f7559,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f7558]) ).
fof(f7560,plain,
( sQ185_spl
| ~ sQ29_spl
| ~ sQ178_spl
| ~ sQ1_spl
| ~ sQ106_spl
| ~ sQ186_spl
| ~ sQ179_spl ),
inference(contradiction_clause,[status(thm)],[f7559]) ).
fof(f7599,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(split_clause,[status(thm)],[f5209,f1777,f1803]) ).
fof(f7607,plain,
( ~ sQ37_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f6227,f215]) ).
fof(f7608,plain,
( ~ sQ37_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f7607]) ).
fof(f7621,plain,
( ~ sQ127_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f5677,f2072,f2098]) ).
fof(f7780,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ84_spl
| h2(e11) = e20 ),
inference(forward_demodulation,[status(thm)],[f1960,f5667]) ).
fof(f7789,plain,
( ~ sQ143_spl
| ~ sQ45_spl
| h1(e11) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1801,f6448]) ).
fof(f7795,plain,
( ~ sQ143_spl
| ~ sQ45_spl
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3966,f7789]) ).
fof(f7807,plain,
( ~ sQ156_spl
| ~ sQ85_spl
| h2(e12) = e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f5241]) ).
fof(f7865,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ124_spl
| h4(e11) = e20 ),
inference(backward_demodulation,[status(thm)],[f2090,f5094]) ).
fof(f7975,plain,
( ~ sQ201_spl
| ~ sQ1_spl
| ~ sQ124_spl
| sQ269_spl ),
inference(split_clause,[status(thm)],[f7865,f2669,f2089,f1657,f2383]) ).
fof(f8050,plain,
( sQ137_spl
| ~ sQ85_spl
| h1(op1(e11,e11)) != e21 ),
inference(forward_demodulation,[status(thm)],[f5226,f4086]) ).
fof(f8058,plain,
( sQ137_spl
| ~ sQ85_spl
| ~ sQ21_spl
| h1(e11) != e21 ),
inference(backward_demodulation,[status(thm)],[f1723,f8050]) ).
fof(f8093,plain,
( ~ sQ155_spl
| ~ sQ1_spl
| ~ sQ84_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f7780,f2567,f1959,f1657,f2237]) ).
fof(f8098,plain,
( ~ sQ114_spl
| ~ sQ82_spl ),
inference(split_clause,[status(thm)],[f6036,f1952,f2056]) ).
fof(f8101,plain,
( ~ sQ269_spl
| h4(e12) = op2(e23,e20) ),
inference(backward_demodulation,[status(thm)],[f2670,f3994]) ).
fof(f8122,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1963,f1960]) ).
fof(f8123,plain,
( ~ sQ84_spl
| ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8122,f218]) ).
fof(f8124,plain,
( ~ sQ84_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8123]) ).
fof(f8128,plain,
( sQ137_spl
| ~ sQ85_spl
| ~ sQ21_spl
| ~ sQ237_spl ),
inference(split_clause,[status(thm)],[f8058,f2533,f1722,f1962,f2179]) ).
fof(f8129,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| h4(e12) = e22 ),
inference(forward_demodulation,[status(thm)],[f2057,f8101]) ).
fof(f8130,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| sQ278_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8129,f2709]) ).
fof(f8131,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| sQ278_spl ),
inference(contradiction_clause,[status(thm)],[f8130]) ).
fof(f8135,plain,
( sQ138_spl
| ~ sQ27_spl
| h1(e13) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1742,f4083]) ).
fof(f8136,plain,
( sQ138_spl
| ~ sQ27_spl
| e23 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f3971,f8135]) ).
fof(f8137,plain,
( sQ138_spl
| ~ sQ27_spl
| ~ sQ91_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1982,f8136]) ).
fof(f8138,plain,
( sQ138_spl
| ~ sQ27_spl
| ~ sQ91_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8137]) ).
fof(f8139,plain,
( sQ138_spl
| ~ sQ27_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f8138]) ).
fof(f8146,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| h4(e13) = op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f8129,f3996]) ).
fof(f8148,plain,
( sQ145_spl
| ~ sQ55_spl
| h1(e13) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1833,f4063]) ).
fof(f8149,plain,
( sQ145_spl
| ~ sQ55_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3971,f8148]) ).
fof(f8150,plain,
( sQ145_spl
| ~ sQ55_spl
| ~ sQ119_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2073,f8149]) ).
fof(f8151,plain,
( sQ145_spl
| ~ sQ55_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8150]) ).
fof(f8152,plain,
( sQ145_spl
| ~ sQ55_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f8151]) ).
fof(f8155,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f7795,f8146]) ).
fof(f8156,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| sQ275_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8155,f2696]) ).
fof(f8157,plain,
( ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| sQ275_spl ),
inference(contradiction_clause,[status(thm)],[f8156]) ).
fof(f8158,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f7071]) ).
fof(f8159,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8158]) ).
fof(f8160,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8159]) ).
fof(f8161,plain,
( sQ159_spl
| ~ sQ16_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8160]) ).
fof(f8162,plain,
( sQ165_spl
| ~ sQ42_spl
| h2(e12) != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1791,f2269]) ).
fof(f8163,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(h2(e12),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f7807,f8162]) ).
fof(f8164,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f7807,f8163]) ).
fof(f8165,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7807,f8164]) ).
fof(f8166,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8165]) ).
fof(f8167,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ156_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8166]) ).
fof(f8168,plain,
( sQ165_spl
| ~ sQ42_spl
| ~ sQ156_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8167]) ).
fof(f8169,plain,
( sQ167_spl
| ~ sQ50_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f7807,f4219]) ).
fof(f8170,plain,
( sQ167_spl
| ~ sQ50_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5406,f8169]) ).
fof(f8171,plain,
( sQ167_spl
| ~ sQ50_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8170]) ).
fof(f8172,plain,
( sQ167_spl
| ~ sQ50_spl
| ~ sQ156_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8171]) ).
fof(f8173,plain,
( sQ167_spl
| ~ sQ50_spl
| ~ sQ156_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8172]) ).
fof(f8174,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e22 != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f8129,f5631]) ).
fof(f8179,plain,
( sQ211_spl
| ~ sQ42_spl
| h4(e12) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f1791,f2415]) ).
fof(f8180,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e22 != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f8129,f8179]) ).
fof(f8181,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e22 != op2(e22,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f8129,f8180]) ).
fof(f8182,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e22 != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f8129,f8181]) ).
fof(f8183,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ106_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f2031,f8182]) ).
fof(f8184,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ106_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8183]) ).
fof(f8185,plain,
( sQ211_spl
| ~ sQ42_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ106_spl ),
inference(contradiction_clause,[status(thm)],[f8184]) ).
fof(f8186,plain,
( sQ208_spl
| ~ sQ30_spl
| h4(e12) != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f1752,f2406]) ).
fof(f8187,plain,
( sQ208_spl
| ~ sQ30_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e22 != op2(h4(e11),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f8129,f8186]) ).
fof(f8188,plain,
( sQ208_spl
| ~ sQ30_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e22 != op2(e20,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2670,f8187]) ).
fof(f8189,plain,
( sQ205_spl
| ~ sQ16_spl
| h4(e10) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f1707,f4003]) ).
fof(f8190,plain,
( sQ205_spl
| ~ sQ16_spl
| e23 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f282,f8189]) ).
fof(f8191,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ269_spl
| e23 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f2670,f8190]) ).
fof(f8192,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ269_spl
| ~ sQ79_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1943,f8191]) ).
fof(f8193,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ269_spl
| ~ sQ79_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8192]) ).
fof(f8194,plain,
( sQ205_spl
| ~ sQ16_spl
| ~ sQ269_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f8193]) ).
fof(f8195,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(h2(e11),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f7807,f7037]) ).
fof(f8196,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f5226,f8195]) ).
fof(f8197,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5406,f8196]) ).
fof(f8198,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8197]) ).
fof(f8199,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8198]) ).
fof(f8200,plain,
( sQ162_spl
| ~ sQ30_spl
| ~ sQ156_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8199]) ).
fof(f8207,plain,
( sQ135_spl
| ~ sQ79_spl
| ~ sQ15_spl
| h1(e13) != e23 ),
inference(forward_demodulation,[status(thm)],[f1703,f4121]) ).
fof(f8208,plain,
( sQ135_spl
| ~ sQ79_spl
| ~ sQ15_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3971,f8207]) ).
fof(f8209,plain,
( sQ135_spl
| ~ sQ79_spl
| ~ sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8208]) ).
fof(f8210,plain,
( sQ135_spl
| ~ sQ79_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f8209]) ).
fof(f8215,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e22 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f8155,f8174]) ).
fof(f8259,plain,
( sQ147_spl
| ~ sQ60_spl
| h1(e10) != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f1850,f4059]) ).
fof(f8260,plain,
( sQ147_spl
| ~ sQ60_spl
| e20 != h4(e11) ),
inference(forward_demodulation,[status(thm)],[f270,f8259]) ).
fof(f8261,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ269_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2670,f8260]) ).
fof(f8262,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ269_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8261]) ).
fof(f8263,plain,
( sQ147_spl
| ~ sQ60_spl
| ~ sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f8262]) ).
fof(f8266,plain,
( sQ213_spl
| ~ sQ50_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f8215,f1991,f1800,f2197,f2056,f2669,f1816,f2419]) ).
fof(f8271,plain,
( sQ146_spl
| ~ sQ57_spl
| h1(e11) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1840,f4061]) ).
fof(f8272,plain,
( sQ146_spl
| ~ sQ57_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3966,f8271]) ).
fof(f8273,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ121_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2080,f8272]) ).
fof(f8274,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ121_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8273]) ).
fof(f8275,plain,
( sQ146_spl
| ~ sQ57_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f8274]) ).
fof(f8342,plain,
( sQ208_spl
| ~ sQ30_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e22 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f8155,f8188]) ).
fof(f8343,plain,
( sQ208_spl
| ~ sQ30_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3958,f8342]) ).
fof(f8344,plain,
( sQ208_spl
| ~ sQ30_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8343]) ).
fof(f8345,plain,
( sQ208_spl
| ~ sQ30_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl ),
inference(contradiction_clause,[status(thm)],[f8344]) ).
fof(f8364,plain,
( sQ166_spl
| ~ sQ45_spl
| h2(e11) != op2(h2(e12),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1801,f2272]) ).
fof(f8365,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ85_spl
| e21 != op2(h2(e12),h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f5226,f8364]) ).
fof(f8366,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f7807,f8365]) ).
fof(f8367,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5406,f8366]) ).
fof(f8368,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8367]) ).
fof(f8369,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ85_spl
| ~ sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8368]) ).
fof(f8370,plain,
( sQ166_spl
| ~ sQ45_spl
| ~ sQ85_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f8369]) ).
fof(f8371,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f7807,f6773]) ).
fof(f8372,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f8371]) ).
fof(f8373,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ156_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8372]) ).
fof(f8374,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ156_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8373]) ).
fof(f8375,plain,
( sQ164_spl
| ~ sQ36_spl
| ~ sQ156_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8374]) ).
fof(f8376,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ269_spl
| e20 != op2(h4(e12),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f2670,f4600]) ).
fof(f8377,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e20 != op2(e22,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f8129,f8376]) ).
fof(f8378,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f8155,f8377]) ).
fof(f8379,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ100_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f2012,f8378]) ).
fof(f8380,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8379]) ).
fof(f8381,plain,
( sQ212_spl
| ~ sQ45_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f8380]) ).
fof(f8412,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e23 != op2(e22,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f8129,f6534]) ).
fof(f8413,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e23 != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f2670,f8412]) ).
fof(f8414,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f3965,f8413]) ).
fof(f8415,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ269_spl
| ~ sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8414]) ).
fof(f8416,plain,
( sQ210_spl
| ~ sQ36_spl
| ~ sQ269_spl
| ~ sQ114_spl ),
inference(contradiction_clause,[status(thm)],[f8415]) ).
fof(f8429,plain,
( sQ160_spl
| ~ sQ23_spl
| ~ sQ85_spl
| e21 != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5406,f4318]) ).
fof(f8430,plain,
( sQ160_spl
| ~ sQ23_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5226,f8429]) ).
fof(f8431,plain,
( sQ160_spl
| ~ sQ23_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f8430]) ).
fof(f8432,plain,
( sQ160_spl
| ~ sQ23_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8431]) ).
fof(f8433,plain,
( sQ160_spl
| ~ sQ23_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8432]) ).
fof(f8434,plain,
( sQ160_spl
| ~ sQ23_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8433]) ).
fof(f8435,plain,
( sQ168_spl
| ~ sQ53_spl
| h2(e11) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f1827,f2278]) ).
fof(f8436,plain,
( sQ168_spl
| ~ sQ53_spl
| ~ sQ85_spl
| e21 != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5226,f8435]) ).
fof(f8437,plain,
( sQ168_spl
| ~ sQ53_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e11)) ),
inference(forward_demodulation,[status(thm)],[f5406,f8436]) ).
fof(f8438,plain,
( sQ168_spl
| ~ sQ53_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5226,f8437]) ).
fof(f8439,plain,
( sQ168_spl
| ~ sQ53_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8438]) ).
fof(f8440,plain,
( sQ168_spl
| ~ sQ53_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8439]) ).
fof(f8441,plain,
( sQ168_spl
| ~ sQ53_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8440]) ).
fof(f8442,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f5406,f7462]) ).
fof(f8443,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7807,f8442]) ).
fof(f8444,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8443]) ).
fof(f8445,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8444]) ).
fof(f8446,plain,
( sQ169_spl
| ~ sQ56_spl
| ~ sQ85_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f8445]) ).
fof(f8447,plain,
( sQ161_spl
| ~ sQ25_spl
| ~ sQ85_spl
| e21 != op2(h2(e11),h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f5226,f4886]) ).
fof(f8448,plain,
( sQ161_spl
| ~ sQ25_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f5226,f8447]) ).
fof(f8449,plain,
( sQ161_spl
| ~ sQ25_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7807,f8448]) ).
fof(f8450,plain,
( sQ161_spl
| ~ sQ25_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8449]) ).
fof(f8451,plain,
( sQ161_spl
| ~ sQ25_spl
| ~ sQ85_spl
| ~ sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8450]) ).
fof(f8452,plain,
( sQ161_spl
| ~ sQ25_spl
| ~ sQ85_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f8451]) ).
fof(f8453,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(h4(e11),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f8155,f4320]) ).
fof(f8454,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(e20,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2670,f8453]) ).
fof(f8455,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f2670,f8454]) ).
fof(f8456,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ65_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1898,f8455]) ).
fof(f8457,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ65_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8456]) ).
fof(f8458,plain,
( sQ206_spl
| ~ sQ23_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ65_spl ),
inference(contradiction_clause,[status(thm)],[f8457]) ).
fof(f8505,plain,
( sQ158_spl
| ~ sQ12_spl
| h2(e10) != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f1694,f4044]) ).
fof(f8506,plain,
( sQ158_spl
| ~ sQ12_spl
| e21 != op2(e21,h2(e13)) ),
inference(forward_demodulation,[status(thm)],[f274,f8505]) ).
fof(f8507,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ85_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f5406,f8506]) ).
fof(f8508,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8507]) ).
fof(f8509,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8508]) ).
fof(f8510,plain,
( sQ158_spl
| ~ sQ12_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8509]) ).
fof(f8517,plain,
( sQ157_spl
| ~ sQ11_spl
| h2(e13) != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f1690,f4045]) ).
fof(f8518,plain,
( sQ157_spl
| ~ sQ11_spl
| ~ sQ85_spl
| e21 != op2(e21,h2(e12)) ),
inference(forward_demodulation,[status(thm)],[f5406,f8517]) ).
fof(f8519,plain,
( sQ157_spl
| ~ sQ11_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f7807,f8518]) ).
fof(f8520,plain,
( sQ157_spl
| ~ sQ11_spl
| ~ sQ85_spl
| ~ sQ156_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8519]) ).
fof(f8521,plain,
( sQ157_spl
| ~ sQ11_spl
| ~ sQ85_spl
| ~ sQ156_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8520]) ).
fof(f8522,plain,
( sQ157_spl
| ~ sQ11_spl
| ~ sQ85_spl
| ~ sQ156_spl ),
inference(contradiction_clause,[status(thm)],[f8521]) ).
fof(f8524,plain,
( ~ sQ39_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f4251,f1728,f1780]) ).
fof(f8526,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e23 != op2(e21,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f8155,f7413]) ).
fof(f8527,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e23 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f8129,f8526]) ).
fof(f8528,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ91_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1982,f8527]) ).
fof(f8529,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ91_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8528]) ).
fof(f8530,plain,
( sQ215_spl
| ~ sQ56_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ91_spl ),
inference(contradiction_clause,[status(thm)],[f8529]) ).
fof(f8539,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ269_spl
| e20 != op2(h4(e11),h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2670,f4882]) ).
fof(f8540,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ269_spl
| e20 != op2(e20,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f2670,f8539]) ).
fof(f8541,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ269_spl
| ~ sQ114_spl
| e20 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f8129,f8540]) ).
fof(f8542,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ72_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1921,f8541]) ).
fof(f8543,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ72_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8542]) ).
fof(f8544,plain,
( sQ207_spl
| ~ sQ25_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ72_spl ),
inference(contradiction_clause,[status(thm)],[f8543]) ).
fof(f8551,plain,
( sQ203_spl
| ~ sQ11_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(e23,h4(e12)) ),
inference(forward_demodulation,[status(thm)],[f8155,f4245]) ).
fof(f8552,plain,
( sQ203_spl
| ~ sQ11_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f8129,f8551]) ).
fof(f8553,plain,
( sQ203_spl
| ~ sQ11_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ121_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f2080,f8552]) ).
fof(f8554,plain,
( sQ203_spl
| ~ sQ11_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ121_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8553]) ).
fof(f8555,plain,
( sQ203_spl
| ~ sQ11_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f8554]) ).
fof(f8560,plain,
( sQ214_spl
| ~ sQ53_spl
| ~ sQ269_spl
| e20 != op2(h4(e13),h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f2670,f5002]) ).
fof(f8561,plain,
( sQ214_spl
| ~ sQ53_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e20 != op2(e21,h4(e11)) ),
inference(forward_demodulation,[status(thm)],[f8155,f8560]) ).
fof(f8562,plain,
( sQ214_spl
| ~ sQ53_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f2670,f8561]) ).
fof(f8563,plain,
( sQ214_spl
| ~ sQ53_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1947,f8562]) ).
fof(f8564,plain,
( sQ214_spl
| ~ sQ53_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8563]) ).
fof(f8565,plain,
( sQ214_spl
| ~ sQ53_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f8564]) ).
fof(f8573,plain,
( sQ204_spl
| ~ sQ12_spl
| e23 != op2(e23,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f282,f5959]) ).
fof(f8574,plain,
( sQ204_spl
| ~ sQ12_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f8155,f8573]) ).
fof(f8575,plain,
( sQ204_spl
| ~ sQ12_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ119_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f2073,f8574]) ).
fof(f8576,plain,
( sQ204_spl
| ~ sQ12_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ119_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8575]) ).
fof(f8577,plain,
( sQ204_spl
| ~ sQ12_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ119_spl ),
inference(contradiction_clause,[status(thm)],[f8576]) ).
fof(f8588,plain,
( sQ216_spl
| ~ sQ63_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(h4(e13),h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f8155,f4292]) ).
fof(f8589,plain,
( sQ216_spl
| ~ sQ63_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(e21,h4(e13)) ),
inference(forward_demodulation,[status(thm)],[f8155,f8588]) ).
fof(f8590,plain,
( sQ216_spl
| ~ sQ63_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| e21 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f8155,f8589]) ).
fof(f8591,plain,
( sQ216_spl
| ~ sQ63_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ85_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1963,f8590]) ).
fof(f8592,plain,
( sQ216_spl
| ~ sQ63_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ85_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f8591]) ).
fof(f8593,plain,
( sQ216_spl
| ~ sQ63_spl
| ~ sQ269_spl
| ~ sQ114_spl
| ~ sQ143_spl
| ~ sQ45_spl
| ~ sQ85_spl ),
inference(contradiction_clause,[status(thm)],[f8592]) ).
fof(f8594,plain,
$false,
inference(sat_refutation,[status(thm)],[f1692,f1705,f1718,f1731,f1744,f1757,f1770,f1822,f1835,f1848,f1861,f1863,f1866,f1867,f1871,f1872,f1873,f1874,f1876,f1877,f1878,f1879,f1880,f1881,f1882,f1883,f1885,f1887,f1888,f1889,f1890,f1891,f1893,f1932,f1945,f1958,f1971,f2010,f2023,f2088,f2101,f2103,f2106,f2107,f2110,f2111,f2112,f2113,f2114,f2116,f2117,f2118,f2119,f2120,f2121,f2122,f2127,f2128,f2129,f2130,f2131,f2132,f2137,f2139,f2145,f2146,f2152,f2154,f2160,f2161,f2236,f2301,f2443,f2459,f2469,f2478,f2479,f2480,f2482,f2487,f2495,f2497,f2506,f2507,f2515,f2536,f2557,f2578,f2583,f2608,f2629,f2630,f2647,f2655,f2672,f2689,f2697,f2698,f2710,f2723,f2736,f2739,f2744,f2745,f2746,f2748,f2757,f2770,f2772,f2774,f2778,f2779,f2784,f2799,f2803,f2804,f2808,f2809,f2812,f2814,f2829,f2833,f2834,f2838,f2839,f2845,f2847,f2848,f2853,f2854,f2855,f2856,f2857,f2860,f2863,f2868,f2870,f2871,f2877,f2878,f2880,f2881,f2886,f2888,f2889,f2895,f2896,f2897,f2899,f2904,f2905,f2907,f2913,f2914,f2915,f2917,f2922,f2924,f2926,f2931,f2933,f2935,f2940,f2942,f2943,f2944,f2949,f2951,f2953,f2958,f2960,f2967,f2970,f2971,f2976,f2977,f2978,f2985,f2989,f2990,f2994,f2995,f2999,f3003,f3004,f3005,f3006,f3007,f3012,f3021,f3022,f3023,f3025,f3030,f3039,f3040,f3041,f3043,f3048,f3057,f3058,f3059,f3061,f3066,f3075,f3077,f3078,f3079,f3084,f3086,f3087,f3093,f3095,f3097,f3102,f3105,f3111,f3114,f3115,f3120,f3122,f3123,f3124,f3129,f3132,f3133,f3138,f3141,f3142,f3147,f3148,f3151,f3156,f3157,f3160,f3165,f3166,f3169,f3174,f3175,f3178,f3183,f3184,f3185,f3187,f3192,f3193,f3196,f3201,f3202,f3203,f3205,f3210,f3211,f3214,f3219,f3221,f3223,f3228,f3232,f3237,f3239,f3241,f3246,f3250,f3255,f3259,f3264,f3268,f3273,f3277,f3282,f3286,f3291,f3295,f3300,f3304,f3309,f3313,f3318,f3322,f3327,f3331,f3336,f3340,f3345,f3349,f3354,f3358,f3363,f3364,f3366,f3367,f3372,f3373,f3374,f3376,f3381,f3382,f3383,f3385,f3390,f3391,f3394,f3399,f3400,f3401,f3403,f3408,f3409,f3410,f3412,f3417,f3418,f3420,f3421,f3426,f3427,f3430,f3435,f3437,f3438,f3439,f3444,f3446,f3447,f3448,f3453,f3456,f3457,f3462,f3465,f3466,f3471,f3473,f3475,f3480,f3482,f3483,f3484,f3489,f3491,f3493,f3498,f3500,f3502,f3507,f3508,f3509,f3511,f3516,f3517,f3519,f3520,f3525,f3526,f3527,f3529,f3534,f3535,f3536,f3538,f3543,f3544,f3547,f3552,f3553,f3556,f3561,f3562,f3565,f3570,f3571,f3574,f3579,f3583,f3588,f3592,f3597,f3601,f3606,f3610,f3615,f3619,f3624,f3628,f3633,f3637,f3642,f3646,f3651,f3654,f3655,f3660,f3662,f3663,f3664,f3669,f3671,f3673,f3678,f3681,f3682,f3687,f3689,f3690,f3691,f3696,f3698,f3699,f3700,f3705,f3708,f3709,f3714,f3717,f3718,f3723,f3725,f3726,f3727,f3728,f3732,f3734,f3735,f3736,f3741,f3743,f3744,f3750,f3753,f3754,f3761,f3768,f3770,f3771,f3779,f3788,f3795,f3804,f3813,f3822,f3831,f3840,f3849,f3858,f3867,f3876,f3885,f3894,f3903,f3912,f3918,f3923,f4002,f4010,f4016,f4022,f4030,f4036,f4042,f4050,f4056,f4079,f4099,f4106,f4109,f4112,f4125,f4141,f4144,f4150,f4158,f4167,f4172,f4199,f4226,f4229,f4232,f4254,f4260,f4263,f4271,f4277,f4282,f4297,f4301,f4310,f4313,f4334,f4337,f4340,f4346,f4349,f4357,f4360,f4363,f4366,f4369,f4381,f4387,f4390,f4395,f4398,f4407,f4410,f4413,f4416,f4430,f4433,f4436,f4462,f4467,f4516,f4524,f4527,f4548,f4560,f4563,f4591,f4643,f4669,f4680,f4683,f4720,f4724,f4732,f4736,f4741,f4745,f4747,f4752,f4755,f4757,f4759,f4766,f4769,f4774,f4799,f4808,f4813,f4828,f4831,f4848,f4856,f4870,f4871,f4874,f4877,f4891,f4895,f4936,f4945,f4963,f4970,f4979,f4986,f5006,f5009,f5031,f5053,f5058,f5074,f5097,f5109,f5114,f5122,f5125,f5145,f5150,f5152,f5155,f5156,f5165,f5168,f5186,f5188,f5194,f5203,f5206,f5208,f5238,f5247,f5257,f5292,f5299,f5315,f5359,f5372,f5375,f5377,f5380,f5419,f5428,f5446,f5447,f5450,f5451,f5453,f5482,f5494,f5506,f5521,f5530,f5532,f5549,f5578,f5610,f5620,f5637,f5640,f5644,f5663,f5687,f5691,f5693,f5712,f5734,f5762,f5767,f5771,f5780,f5790,f5813,f5823,f5858,f5859,f5867,f5873,f5884,f5897,f5900,f5910,f5938,f5939,f5963,f5969,f5970,f5982,f5995,f6012,f6044,f6110,f6128,f6141,f6142,f6143,f6162,f6173,f6180,f6186,f6228,f6286,f6302,f6334,f6338,f6392,f6395,f6419,f6435,f6500,f6507,f6513,f6519,f6526,f6532,f6539,f6545,f6552,f6557,f6563,f6569,f6576,f6582,f6589,f6594,f6601,f6608,f6614,f6621,f6627,f6633,f6639,f6645,f6652,f6658,f6697,f6765,f6771,f6778,f6796,f6804,f6824,f7021,f7032,f7043,f7054,f7065,f7075,f7085,f7099,f7106,f7114,f7117,f7135,f7139,f7148,f7161,f7168,f7205,f7206,f7209,f7242,f7330,f7332,f7353,f7390,f7393,f7396,f7418,f7432,f7481,f7513,f7519,f7530,f7560,f7599,f7608,f7621,f7975,f8093,f8098,f8124,f8128,f8131,f8139,f8152,f8157,f8161,f8168,f8173,f8185,f8194,f8200,f8210,f8263,f8266,f8275,f8345,f8370,f8375,f8381,f8416,f8434,f8441,f8446,f8452,f8458,f8510,f8522,f8524,f8530,f8544,f8555,f8565,f8577,f8593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG103+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/5.30 % Computer : n012.cluster.edu
% 0.04/5.30 % Model : x86_64 x86_64
% 0.04/5.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.30 % Memory : 8046.5625MB
% 0.04/5.30 % OS : Linux 6.8.0-71-generic
% 0.04/5.30 % CPULimit : 300
% 0.04/5.30 % WCLimit : 300
% 0.04/5.30 % DateTime : Mon Sep 21 12:55:58 UTC 2026
% 0.04/5.31 % CPUTime :
% 0.04/5.35 % Drodi V4.1.1
% 13.47/7.16 % Refutation found
% 13.47/7.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.47/7.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.99/7.21 % Elapsed time: 1.898101 seconds
% 0.99/7.21 % CPU time: 14.447461 seconds
% 0.99/7.21 % Total memory used: 242.710 MB
% 0.99/7.21 % Net memory used: 241.113 MB
%------------------------------------------------------------------------------