%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG124+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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:48:19 AM UTC 2026
% Result : Theorem 0.27s 0.79s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 377
% Syntax : Number of formulae : 1815 ( 179 unt; 360 def)
% Number of atoms : 7881 (4747 equ)
% Maximal formula atoms : 132 ( 4 avg)
% Number of connectives : 9585 (3519 ~;3861 |;1772 &)
% ( 433 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 362 ( 360 usr; 361 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) = e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ( op1(e12,e13) = e13
| op1(e12,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e13) = e11
| op1(e12,e11) != e13 )
& ( op1(e12,e13) = e10
| op1(e12,e10) != e13 )
& ( op1(e11,e13) = e13
| op1(e11,e13) != e13 )
& ( op1(e11,e13) = e12
| op1(e11,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e13) = e10
| op1(e11,e10) != e13 )
& ( op1(e10,e13) = e13
| op1(e10,e13) != e13 )
& ( op1(e10,e13) = e12
| op1(e10,e12) != e13 )
& ( op1(e10,e13) = e11
| op1(e10,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 ) )
| ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e12) = e12
| op1(e13,e12) != e12 )
& ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) )
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) )
& op1(e13,e13) != e13
& op1(e12,e12) != e12
& op1(e11,e11) != e11
& 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) = e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ( op2(e22,e23) = e23
| op2(e22,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e23) = e21
| op2(e22,e21) != e23 )
& ( op2(e22,e23) = e20
| op2(e22,e20) != e23 )
& ( op2(e21,e23) = e23
| op2(e21,e23) != e23 )
& ( op2(e21,e23) = e22
| op2(e21,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e23) = e20
| op2(e21,e20) != e23 )
& ( op2(e20,e23) = e23
| op2(e20,e23) != e23 )
& ( op2(e20,e23) = e22
| op2(e20,e22) != e23 )
& ( op2(e20,e23) = e21
| op2(e20,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 ) )
| ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e22) = e22
| op2(e23,e22) != e22 )
& ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) )
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) )
& op2(e23,e23) != e23
& op2(e22,e22) != e22
& op2(e21,e21) != e21
& op2(e20,e20) != e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e13 = op1(e10,e10)
& e12 = op1(op1(e10,e10),e10)
& e11 = op1(op1(op1(e10,e10),e10),e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e23 = op2(e20,e20)
& e22 = op2(op2(e20,e20),e20)
& e21 = op2(op2(op2(e20,e20),e20),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = op2(e20,e20)
& h1(e12) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e10) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = op2(e21,e21)
& h2(e12) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e10) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = op2(e22,e22)
& h3(e12) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e10) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = op2(e23,e23)
& h4(e12) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(op2(e23,e23),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(f20,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(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(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(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(f36,plain,
( op1(e10,e13) = e10
| op1(e10,e12) = e10
| op1(e10,e11) = e10
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
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(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(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(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(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(f66,plain,
( op1(e13,e13) = e13
| op1(e13,e12) = e13
| op1(e13,e11) = e13
| op1(e13,e10) = e13 ),
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(f68,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( op2(e20,e21) = e23
| op2(e20,e21) = e22
| op2(e20,e21) = e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
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(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(f75,plain,
( op2(e21,e23) = e23
| op2(e21,e23) = e22
| op2(e21,e23) = e21
| op2(e21,e23) = 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(f78,plain,
( op2(e22,e22) = e23
| op2(e22,e22) = e22
| op2(e22,e22) = e21
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(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(f84,plain,
( op2(e20,e23) = e20
| op2(e20,e22) = e20
| op2(e20,e21) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f85,plain,
( op2(e23,e20) = e20
| op2(e22,e20) = e20
| op2(e21,e20) = e20
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f86,plain,
( op2(e20,e23) = e21
| op2(e20,e22) = e21
| op2(e20,e21) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f87,plain,
( op2(e23,e20) = e21
| op2(e22,e20) = e21
| op2(e21,e20) = e21
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(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(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(f97,plain,
( op2(e23,e21) = e22
| op2(e22,e21) = e22
| op2(e21,e21) = e22
| op2(e20,e21) = 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(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(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(f105,plain,
( op2(e23,e22) = e22
| op2(e22,e22) = e22
| op2(e21,e22) = e22
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f106,plain,
( op2(e22,e23) = e23
| op2(e22,e22) = e23
| op2(e22,e21) = e23
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f108,plain,
( op2(e23,e23) = e20
| op2(e23,e22) = e20
| op2(e23,e21) = e20
| op2(e23,e20) = e20 ),
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(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(f115,plain,
( op2(e23,e23) = e23
| op2(e22,e23) = e23
| op2(e21,e23) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
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(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(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(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
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(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f178,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,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(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(f195,plain,
op2(e21,e20) != op2(e21,e22),
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(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(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(e13,e12) = e12
| op1(e13,e12) != e12 )
& ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) )
| ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f241,plain,
( ( ( ( op1(e13,e13) = e13
| op1(e13,e13) != e13 )
& ( op1(e13,e13) = e12
| op1(e13,e12) != e13 )
& ( op1(e13,e13) = e11
| op1(e13,e11) != e13 )
& ( op1(e13,e13) = e10
| op1(e13,e10) != e13 )
& ( op1(e12,e13) = e13
| op1(e12,e13) != e13 )
& ( op1(e12,e13) = e12
| op1(e12,e12) != e13 )
& ( op1(e12,e13) = e11
| op1(e12,e11) != e13 )
& ( op1(e12,e13) = e10
| op1(e12,e10) != e13 )
& ( op1(e11,e13) = e13
| op1(e11,e13) != e13 )
& ( op1(e11,e13) = e12
| op1(e11,e12) != e13 )
& ( op1(e11,e13) = e11
| op1(e11,e11) != e13 )
& ( op1(e11,e13) = e10
| op1(e11,e10) != e13 )
& ( op1(e10,e13) = e13
| op1(e10,e13) != e13 )
& ( op1(e10,e13) = e12
| op1(e10,e12) != e13 )
& ( op1(e10,e13) = e11
| op1(e10,e11) != e13 )
& ( op1(e10,e13) = e10
| op1(e10,e10) != e13 ) )
| sP0_prd )
& op1(e13,e13) != e13
& op1(e12,e12) != e12
& op1(e11,e11) != e11
& op1(e10,e10) != e10 ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f243,plain,
op1(e11,e11) != e11,
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f244,plain,
op1(e12,e12) != e12,
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f245,plain,
op1(e13,e13) != e13,
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f252,plain,
( op1(e11,e13) = e12
| op1(e11,e12) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f256,plain,
( op1(e12,e13) = e12
| op1(e12,e12) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f260,plain,
( op1(e13,e13) = e12
| op1(e13,e12) != e13
| sP0_prd ),
inference(cnf_transformation,[status(thm)],[f241]) ).
fof(f262,definition,
( sP1_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e22) = e22
| op2(e23,e22) != e22 )
& ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) )
| ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f263,plain,
( ( ( ( op2(e23,e23) = e23
| op2(e23,e23) != e23 )
& ( op2(e23,e23) = e22
| op2(e23,e22) != e23 )
& ( op2(e23,e23) = e21
| op2(e23,e21) != e23 )
& ( op2(e23,e23) = e20
| op2(e23,e20) != e23 )
& ( op2(e22,e23) = e23
| op2(e22,e23) != e23 )
& ( op2(e22,e23) = e22
| op2(e22,e22) != e23 )
& ( op2(e22,e23) = e21
| op2(e22,e21) != e23 )
& ( op2(e22,e23) = e20
| op2(e22,e20) != e23 )
& ( op2(e21,e23) = e23
| op2(e21,e23) != e23 )
& ( op2(e21,e23) = e22
| op2(e21,e22) != e23 )
& ( op2(e21,e23) = e21
| op2(e21,e21) != e23 )
& ( op2(e21,e23) = e20
| op2(e21,e20) != e23 )
& ( op2(e20,e23) = e23
| op2(e20,e23) != e23 )
& ( op2(e20,e23) = e22
| op2(e20,e22) != e23 )
& ( op2(e20,e23) = e21
| op2(e20,e21) != e23 )
& ( op2(e20,e23) = e20
| op2(e20,e20) != e23 ) )
| sP1_prd )
& op2(e23,e23) != e23
& op2(e22,e22) != e22
& op2(e21,e21) != e21
& op2(e20,e20) != e20 ),
inference(formula_renaming,[status(thm)],[f11,f262]) ).
fof(f265,plain,
op2(e21,e21) != e21,
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f266,plain,
op2(e22,e22) != e22,
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f267,plain,
op2(e23,e23) != e23,
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f268,plain,
( op2(e20,e23) = e20
| op2(e20,e20) != e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f273,plain,
( op2(e21,e23) = e21
| op2(e21,e21) != e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f274,plain,
( op2(e21,e23) = e22
| op2(e21,e22) != e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f277,plain,
( op2(e22,e23) = e21
| op2(e22,e21) != e23
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f284,plain,
e11 = op1(op1(op1(e10,e10),e10),e10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f285,plain,
e12 = op1(op1(e10,e10),e10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f286,plain,
e13 = op1(e10,e10),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f287,plain,
e21 = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f288,plain,
e22 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f289,plain,
e23 = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f290,plain,
h1(e10) = e20,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f291,plain,
h1(e11) = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f292,plain,
h1(e12) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f293,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f294,plain,
h2(e10) = e21,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f295,plain,
h2(e11) = op2(op2(op2(e21,e21),e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f296,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f297,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f298,plain,
h3(e10) = e22,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f299,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f300,plain,
h3(e12) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f301,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f302,plain,
h4(e10) = e23,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f303,plain,
h4(e11) = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f304,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f305,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f306,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(f307,definition,
( sP2_prd
<=> ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f308,definition,
( sP3_prd
<=> ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f309,definition,
( sP4_prd
<=> ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f310,definition,
( sP5_prd
<=> ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f311,definition,
( sP6_prd
<=> ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f312,definition,
( sP7_prd
<=> ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f313,definition,
( sP8_prd
<=> ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f314,definition,
( sP9_prd
<=> ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP9_prd])],[]) ).
fof(f315,definition,
( sP10_prd
<=> ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP10_prd])],[]) ).
fof(f316,definition,
( sP11_prd
<=> ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 ) ),
introduced(definition,[new_symbols(definition,[sP11_prd])],[]) ).
fof(f317,definition,
( sP12_prd
<=> ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 ) ),
introduced(definition,[new_symbols(definition,[sP12_prd])],[]) ).
fof(f318,definition,
( sP13_prd
<=> ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 ) ),
introduced(definition,[new_symbols(definition,[sP13_prd])],[]) ).
fof(f319,plain,
( ( ( h4(e13) != e23
& h4(e12) != e23
& h4(e11) != e23
& h4(e10) != e23 )
| sP13_prd
| sP12_prd
| sP11_prd
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( h3(e13) != e23
& h3(e12) != e23
& h3(e11) != e23
& h3(e10) != e23 )
| sP10_prd
| sP9_prd
| sP8_prd
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( h2(e13) != e23
& h2(e12) != e23
& h2(e11) != e23
& h2(e10) != e23 )
| sP7_prd
| sP6_prd
| sP5_prd
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( h1(e13) != e23
& h1(e12) != e23
& h1(e11) != e23
& h1(e10) != e23 )
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(formula_renaming,[status(thm)],[f306,f318,f317,f316,f315,f314,f313,f312,f311,f310,f309,f308,f307]) ).
fof(f323,plain,
( h1(e13) != e23
| sP4_prd
| sP3_prd
| sP2_prd
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(cnf_transformation,[status(thm)],[f319]) ).
fof(f336,definition,
( sP14_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) )
| ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14_prd])],[]) ).
fof(f337,plain,
( sP0_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& ( op1(e13,e12) = e12
| op1(e13,e12) != e12 )
& ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f240,f336]) ).
fof(f338,definition,
( sP15_prd
<=> ( ( op1(e13,e12) = e12
| op1(e13,e12) != e12 )
& ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP15_prd])],[]) ).
fof(f339,plain,
( sP0_prd
<=> ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& sP15_prd )
| sP14_prd ) ),
inference(formula_renaming,[status(thm)],[f337,f338]) ).
fof(f340,plain,
( ( ( ( ( op1(e13,e12) != e13
& op1(e13,e13) = e12 )
| ~ sP15_prd )
& ~ sP14_prd )
| sP0_prd )
& ( ( ( op1(e13,e12) = e13
| op1(e13,e13) != e12 )
& sP15_prd )
| sP14_prd
| ~ sP0_prd ) ),
inference(NNF_transformation,[status(thm)],[f339]) ).
fof(f341,plain,
( sP15_prd
| sP14_prd
| ~ sP0_prd ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f346,definition,
( sP16_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) )
| ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16_prd])],[]) ).
fof(f347,plain,
( sP1_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& ( op2(e23,e22) = e22
| op2(e23,e22) != e22 )
& ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f262,f346]) ).
fof(f348,definition,
( sP17_prd
<=> ( ( op2(e23,e22) = e22
| op2(e23,e22) != e22 )
& ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP17_prd])],[]) ).
fof(f349,plain,
( sP1_prd
<=> ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& sP17_prd )
| sP16_prd ) ),
inference(formula_renaming,[status(thm)],[f347,f348]) ).
fof(f350,plain,
( ( ( ( ( op2(e23,e22) != e23
& op2(e23,e23) = e22 )
| ~ sP17_prd )
& ~ sP16_prd )
| sP1_prd )
& ( ( ( op2(e23,e22) = e23
| op2(e23,e23) != e22 )
& sP17_prd )
| sP16_prd
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
( sP17_prd
| sP16_prd
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f354,plain,
( op2(e23,e23) = e22
| ~ sP17_prd
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f350]) ).
fof(f356,plain,
( ( h1(e13) = e20
| h1(e12) = e20
| h1(e11) = e20
| h1(e10) = e20
| sP2_prd )
& ( ( h1(e13) != e20
& h1(e12) != e20
& h1(e11) != e20
& h1(e10) != e20 )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f307]) ).
fof(f357,plain,
( h1(e10) != e20
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f356]) ).
fof(f362,plain,
( ( h1(e13) = e21
| h1(e12) = e21
| h1(e11) = e21
| h1(e10) = e21
| sP3_prd )
& ( ( h1(e13) != e21
& h1(e12) != e21
& h1(e11) != e21
& h1(e10) != e21 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f308]) ).
fof(f364,plain,
( h1(e11) != e21
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f368,plain,
( ( h1(e13) = e22
| h1(e12) = e22
| h1(e11) = e22
| h1(e10) = e22
| sP4_prd )
& ( ( h1(e13) != e22
& h1(e12) != e22
& h1(e11) != e22
& h1(e10) != e22 )
| ~ sP4_prd ) ),
inference(NNF_transformation,[status(thm)],[f309]) ).
fof(f371,plain,
( h1(e12) != e22
| ~ sP4_prd ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f374,plain,
( ( h2(e13) = e20
| h2(e12) = e20
| h2(e11) = e20
| h2(e10) = e20
| sP5_prd )
& ( ( h2(e13) != e20
& h2(e12) != e20
& h2(e11) != e20
& h2(e10) != e20 )
| ~ sP5_prd ) ),
inference(NNF_transformation,[status(thm)],[f310]) ).
fof(f377,plain,
( h2(e12) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f378,plain,
( h2(e13) != e20
| ~ sP5_prd ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f380,plain,
( ( h2(e13) = e21
| h2(e12) = e21
| h2(e11) = e21
| h2(e10) = e21
| sP6_prd )
& ( ( h2(e13) != e21
& h2(e12) != e21
& h2(e11) != e21
& h2(e10) != e21 )
| ~ sP6_prd ) ),
inference(NNF_transformation,[status(thm)],[f311]) ).
fof(f381,plain,
( h2(e10) != e21
| ~ sP6_prd ),
inference(cnf_transformation,[status(thm)],[f380]) ).
fof(f386,plain,
( ( h2(e13) = e22
| h2(e12) = e22
| h2(e11) = e22
| h2(e10) = e22
| sP7_prd )
& ( ( h2(e13) != e22
& h2(e12) != e22
& h2(e11) != e22
& h2(e10) != e22 )
| ~ sP7_prd ) ),
inference(NNF_transformation,[status(thm)],[f312]) ).
fof(f390,plain,
( h2(e13) != e22
| ~ sP7_prd ),
inference(cnf_transformation,[status(thm)],[f386]) ).
fof(f392,plain,
( ( h3(e13) = e20
| h3(e12) = e20
| h3(e11) = e20
| h3(e10) = e20
| sP8_prd )
& ( ( h3(e13) != e20
& h3(e12) != e20
& h3(e11) != e20
& h3(e10) != e20 )
| ~ sP8_prd ) ),
inference(NNF_transformation,[status(thm)],[f313]) ).
fof(f395,plain,
( h3(e12) != e20
| ~ sP8_prd ),
inference(cnf_transformation,[status(thm)],[f392]) ).
fof(f398,plain,
( ( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd )
& ( ( h3(e13) != e21
& h3(e12) != e21
& h3(e11) != e21
& h3(e10) != e21 )
| ~ sP9_prd ) ),
inference(NNF_transformation,[status(thm)],[f314]) ).
fof(f400,plain,
( h3(e11) != e21
| ~ sP9_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f403,plain,
( h3(e13) = e21
| h3(e12) = e21
| h3(e11) = e21
| h3(e10) = e21
| sP9_prd ),
inference(cnf_transformation,[status(thm)],[f398]) ).
fof(f404,plain,
( ( h3(e13) = e22
| h3(e12) = e22
| h3(e11) = e22
| h3(e10) = e22
| sP10_prd )
& ( ( h3(e13) != e22
& h3(e12) != e22
& h3(e11) != e22
& h3(e10) != e22 )
| ~ sP10_prd ) ),
inference(NNF_transformation,[status(thm)],[f315]) ).
fof(f405,plain,
( h3(e10) != e22
| ~ sP10_prd ),
inference(cnf_transformation,[status(thm)],[f404]) ).
fof(f410,plain,
( ( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd )
& ( ( h4(e13) != e20
& h4(e12) != e20
& h4(e11) != e20
& h4(e10) != e20 )
| ~ sP11_prd ) ),
inference(NNF_transformation,[status(thm)],[f316]) ).
fof(f415,plain,
( h4(e13) = e20
| h4(e12) = e20
| h4(e11) = e20
| h4(e10) = e20
| sP11_prd ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f416,plain,
( ( h4(e13) = e21
| h4(e12) = e21
| h4(e11) = e21
| h4(e10) = e21
| sP12_prd )
& ( ( h4(e13) != e21
& h4(e12) != e21
& h4(e11) != e21
& h4(e10) != e21 )
| ~ sP12_prd ) ),
inference(NNF_transformation,[status(thm)],[f317]) ).
fof(f420,plain,
( h4(e13) != e21
| ~ sP12_prd ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
( ( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd )
& ( ( h4(e13) != e22
& h4(e12) != e22
& h4(e11) != e22
& h4(e10) != e22 )
| ~ sP13_prd ) ),
inference(NNF_transformation,[status(thm)],[f318]) ).
fof(f427,plain,
( h4(e13) = e22
| h4(e12) = e22
| h4(e11) = e22
| h4(e10) = e22
| sP13_prd ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f428,definition,
( sP18_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP18_prd])],[]) ).
fof(f429,plain,
( sP14_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f336,f428]) ).
fof(f430,definition,
( sP19_prd
<=> ( ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP19_prd])],[]) ).
fof(f431,plain,
( sP14_prd
<=> ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& sP19_prd )
| sP18_prd ) ),
inference(formula_renaming,[status(thm)],[f429,f430]) ).
fof(f432,plain,
( ( ( ( ( op1(e13,e11) != e13
& op1(e13,e13) = e11 )
| ~ sP19_prd )
& ~ sP18_prd )
| sP14_prd )
& ( ( ( op1(e13,e11) = e13
| op1(e13,e13) != e11 )
& sP19_prd )
| sP18_prd
| ~ sP14_prd ) ),
inference(NNF_transformation,[status(thm)],[f431]) ).
fof(f433,plain,
( sP19_prd
| sP18_prd
| ~ sP14_prd ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f438,definition,
( sP20_prd
<=> ( ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP20_prd])],[]) ).
fof(f439,plain,
( sP15_prd
<=> ( ( op1(e13,e12) = e12
| op1(e13,e12) != e12 )
& sP20_prd ) ),
inference(formula_renaming,[status(thm)],[f338,f438]) ).
fof(f440,plain,
( ( ( op1(e13,e12) != e12
& op1(e13,e12) = e12 )
| ~ sP20_prd
| sP15_prd )
& ( ( ( op1(e13,e12) = e12
| op1(e13,e12) != e12 )
& sP20_prd )
| ~ sP15_prd ) ),
inference(NNF_transformation,[status(thm)],[f439]) ).
fof(f441,plain,
( sP20_prd
| ~ sP15_prd ),
inference(cnf_transformation,[status(thm)],[f440]) ).
fof(f445,definition,
( sP21_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP21_prd])],[]) ).
fof(f446,plain,
( sP16_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f346,f445]) ).
fof(f447,definition,
( sP22_prd
<=> ( ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP22_prd])],[]) ).
fof(f448,plain,
( sP16_prd
<=> ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& sP22_prd )
| sP21_prd ) ),
inference(formula_renaming,[status(thm)],[f446,f447]) ).
fof(f449,plain,
( ( ( ( ( op2(e23,e21) != e23
& op2(e23,e23) = e21 )
| ~ sP22_prd )
& ~ sP21_prd )
| sP16_prd )
& ( ( ( op2(e23,e21) = e23
| op2(e23,e23) != e21 )
& sP22_prd )
| sP21_prd
| ~ sP16_prd ) ),
inference(NNF_transformation,[status(thm)],[f448]) ).
fof(f450,plain,
( sP22_prd
| sP21_prd
| ~ sP16_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f452,plain,
( ~ sP21_prd
| sP16_prd ),
inference(cnf_transformation,[status(thm)],[f449]) ).
fof(f455,definition,
( sP23_prd
<=> ( ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP23_prd])],[]) ).
fof(f456,plain,
( sP17_prd
<=> ( ( op2(e23,e22) = e22
| op2(e23,e22) != e22 )
& sP23_prd ) ),
inference(formula_renaming,[status(thm)],[f348,f455]) ).
fof(f457,plain,
( ( ( op2(e23,e22) != e22
& op2(e23,e22) = e22 )
| ~ sP23_prd
| sP17_prd )
& ( ( ( op2(e23,e22) = e22
| op2(e23,e22) != e22 )
& sP23_prd )
| ~ sP17_prd ) ),
inference(NNF_transformation,[status(thm)],[f456]) ).
fof(f458,plain,
( sP23_prd
| ~ sP17_prd ),
inference(cnf_transformation,[status(thm)],[f457]) ).
fof(f460,plain,
( op2(e23,e22) = e22
| ~ sP23_prd
| sP17_prd ),
inference(cnf_transformation,[status(thm)],[f457]) ).
fof(f462,definition,
( sP24_prd
<=> ( ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP24_prd])],[]) ).
fof(f463,plain,
( sP18_prd
<=> ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& sP24_prd ) ),
inference(formula_renaming,[status(thm)],[f428,f462]) ).
fof(f464,plain,
( ( ( op1(e13,e10) != e13
& op1(e13,e13) = e10 )
| ~ sP24_prd
| sP18_prd )
& ( ( ( op1(e13,e10) = e13
| op1(e13,e13) != e10 )
& sP24_prd )
| ~ sP18_prd ) ),
inference(NNF_transformation,[status(thm)],[f463]) ).
fof(f465,plain,
( sP24_prd
| ~ sP18_prd ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f469,definition,
( sP25_prd
<=> ( ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP25_prd])],[]) ).
fof(f470,plain,
( sP19_prd
<=> ( ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& sP25_prd ) ),
inference(formula_renaming,[status(thm)],[f430,f469]) ).
fof(f471,plain,
( ( ( op1(e13,e11) != e12
& op1(e13,e12) = e11 )
| ~ sP25_prd
| sP19_prd )
& ( ( ( op1(e13,e11) = e12
| op1(e13,e12) != e11 )
& sP25_prd )
| ~ sP19_prd ) ),
inference(NNF_transformation,[status(thm)],[f470]) ).
fof(f472,plain,
( sP25_prd
| ~ sP19_prd ),
inference(cnf_transformation,[status(thm)],[f471]) ).
fof(f476,definition,
( sP26_prd
<=> ( ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP26_prd])],[]) ).
fof(f477,plain,
( sP20_prd
<=> ( ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& sP26_prd ) ),
inference(formula_renaming,[status(thm)],[f438,f476]) ).
fof(f478,plain,
( ( ( op1(e13,e12) != e11
& op1(e13,e11) = e12 )
| ~ sP26_prd
| sP20_prd )
& ( ( ( op1(e13,e12) = e11
| op1(e13,e11) != e12 )
& sP26_prd )
| ~ sP20_prd ) ),
inference(NNF_transformation,[status(thm)],[f477]) ).
fof(f479,plain,
( sP26_prd
| ~ sP20_prd ),
inference(cnf_transformation,[status(thm)],[f478]) ).
fof(f483,definition,
( sP27_prd
<=> ( ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP27_prd])],[]) ).
fof(f484,plain,
( sP21_prd
<=> ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& sP27_prd ) ),
inference(formula_renaming,[status(thm)],[f445,f483]) ).
fof(f485,plain,
( ( ( op2(e23,e20) != e23
& op2(e23,e23) = e20 )
| ~ sP27_prd
| sP21_prd )
& ( ( ( op2(e23,e20) = e23
| op2(e23,e23) != e20 )
& sP27_prd )
| ~ sP21_prd ) ),
inference(NNF_transformation,[status(thm)],[f484]) ).
fof(f486,plain,
( sP27_prd
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f487,plain,
( op2(e23,e20) = e23
| op2(e23,e23) != e20
| ~ sP21_prd ),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f488,plain,
( op2(e23,e23) = e20
| ~ sP27_prd
| sP21_prd ),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f490,definition,
( sP28_prd
<=> ( ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP28_prd])],[]) ).
fof(f491,plain,
( sP22_prd
<=> ( ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& sP28_prd ) ),
inference(formula_renaming,[status(thm)],[f447,f490]) ).
fof(f492,plain,
( ( ( op2(e23,e21) != e22
& op2(e23,e22) = e21 )
| ~ sP28_prd
| sP22_prd )
& ( ( ( op2(e23,e21) = e22
| op2(e23,e22) != e21 )
& sP28_prd )
| ~ sP22_prd ) ),
inference(NNF_transformation,[status(thm)],[f491]) ).
fof(f493,plain,
( sP28_prd
| ~ sP22_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f495,plain,
( op2(e23,e22) = e21
| ~ sP28_prd
| sP22_prd ),
inference(cnf_transformation,[status(thm)],[f492]) ).
fof(f497,definition,
( sP29_prd
<=> ( ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP29_prd])],[]) ).
fof(f498,plain,
( sP23_prd
<=> ( ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& sP29_prd ) ),
inference(formula_renaming,[status(thm)],[f455,f497]) ).
fof(f499,plain,
( ( ( op2(e23,e22) != e21
& op2(e23,e21) = e22 )
| ~ sP29_prd
| sP23_prd )
& ( ( ( op2(e23,e22) = e21
| op2(e23,e21) != e22 )
& sP29_prd )
| ~ sP23_prd ) ),
inference(NNF_transformation,[status(thm)],[f498]) ).
fof(f500,plain,
( sP29_prd
| ~ sP23_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f502,plain,
( op2(e23,e21) = e22
| ~ sP29_prd
| sP23_prd ),
inference(cnf_transformation,[status(thm)],[f499]) ).
fof(f504,definition,
( sP30_prd
<=> ( ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP30_prd])],[]) ).
fof(f505,plain,
( sP24_prd
<=> ( ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& sP30_prd ) ),
inference(formula_renaming,[status(thm)],[f462,f504]) ).
fof(f506,plain,
( ( ( op1(e13,e10) != e12
& op1(e13,e12) = e10 )
| ~ sP30_prd
| sP24_prd )
& ( ( ( op1(e13,e10) = e12
| op1(e13,e12) != e10 )
& sP30_prd )
| ~ sP24_prd ) ),
inference(NNF_transformation,[status(thm)],[f505]) ).
fof(f507,plain,
( sP30_prd
| ~ sP24_prd ),
inference(cnf_transformation,[status(thm)],[f506]) ).
fof(f511,definition,
( sP31_prd
<=> ( ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP31_prd])],[]) ).
fof(f512,plain,
( sP25_prd
<=> ( ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& sP31_prd ) ),
inference(formula_renaming,[status(thm)],[f469,f511]) ).
fof(f513,plain,
( ( ( op1(e13,e11) != e11
& op1(e13,e11) = e11 )
| ~ sP31_prd
| sP25_prd )
& ( ( ( op1(e13,e11) = e11
| op1(e13,e11) != e11 )
& sP31_prd )
| ~ sP25_prd ) ),
inference(NNF_transformation,[status(thm)],[f512]) ).
fof(f514,plain,
( sP31_prd
| ~ sP25_prd ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f518,definition,
( sP32_prd
<=> ( ( op1(e12,e12) = e13
| op1(e12,e13) != e12 )
& ( op1(e12,e12) = e12
| op1(e12,e12) != e12 )
& ( op1(e12,e12) = e11
| op1(e12,e11) != e12 )
& ( op1(e12,e12) = e10
| op1(e12,e10) != e12 )
& ( op1(e11,e12) = e13
| op1(e11,e13) != e12 )
& ( op1(e11,e12) = e12
| op1(e11,e12) != e12 )
& ( op1(e11,e12) = e11
| op1(e11,e11) != e12 )
& ( op1(e11,e12) = e10
| op1(e11,e10) != e12 )
& ( op1(e10,e12) = e13
| op1(e10,e13) != e12 )
& ( op1(e10,e12) = e12
| op1(e10,e12) != e12 )
& ( op1(e10,e12) = e11
| op1(e10,e11) != e12 )
& ( op1(e10,e12) = e10
| op1(e10,e10) != e12 ) ) ),
introduced(definition,[new_symbols(definition,[sP32_prd])],[]) ).
fof(f519,plain,
( sP26_prd
<=> ( ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& sP32_prd ) ),
inference(formula_renaming,[status(thm)],[f476,f518]) ).
fof(f520,plain,
( ( ( op1(e13,e12) != e10
& op1(e13,e10) = e12 )
| ~ sP32_prd
| sP26_prd )
& ( ( ( op1(e13,e12) = e10
| op1(e13,e10) != e12 )
& sP32_prd )
| ~ sP26_prd ) ),
inference(NNF_transformation,[status(thm)],[f519]) ).
fof(f522,plain,
( op1(e13,e12) = e10
| op1(e13,e10) != e12
| ~ sP26_prd ),
inference(cnf_transformation,[status(thm)],[f520]) ).
fof(f525,definition,
( sP33_prd
<=> ( ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP33_prd])],[]) ).
fof(f526,plain,
( sP27_prd
<=> ( ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& sP33_prd ) ),
inference(formula_renaming,[status(thm)],[f483,f525]) ).
fof(f527,plain,
( ( ( op2(e23,e20) != e22
& op2(e23,e22) = e20 )
| ~ sP33_prd
| sP27_prd )
& ( ( ( op2(e23,e20) = e22
| op2(e23,e22) != e20 )
& sP33_prd )
| ~ sP27_prd ) ),
inference(NNF_transformation,[status(thm)],[f526]) ).
fof(f528,plain,
( sP33_prd
| ~ sP27_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f531,plain,
( op2(e23,e20) != e22
| ~ sP33_prd
| sP27_prd ),
inference(cnf_transformation,[status(thm)],[f527]) ).
fof(f532,definition,
( sP34_prd
<=> ( ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP34_prd])],[]) ).
fof(f533,plain,
( sP28_prd
<=> ( ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& sP34_prd ) ),
inference(formula_renaming,[status(thm)],[f490,f532]) ).
fof(f534,plain,
( ( ( op2(e23,e21) != e21
& op2(e23,e21) = e21 )
| ~ sP34_prd
| sP28_prd )
& ( ( ( op2(e23,e21) = e21
| op2(e23,e21) != e21 )
& sP34_prd )
| ~ sP28_prd ) ),
inference(NNF_transformation,[status(thm)],[f533]) ).
fof(f535,plain,
( sP34_prd
| ~ sP28_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f537,plain,
( op2(e23,e21) = e21
| ~ sP34_prd
| sP28_prd ),
inference(cnf_transformation,[status(thm)],[f534]) ).
fof(f539,definition,
( sP35_prd
<=> ( ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP35_prd])],[]) ).
fof(f540,plain,
( sP29_prd
<=> ( ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& sP35_prd ) ),
inference(formula_renaming,[status(thm)],[f497,f539]) ).
fof(f541,plain,
( ( ( op2(e23,e22) != e20
& op2(e23,e20) = e22 )
| ~ sP35_prd
| sP29_prd )
& ( ( ( op2(e23,e22) = e20
| op2(e23,e20) != e22 )
& sP35_prd )
| ~ sP29_prd ) ),
inference(NNF_transformation,[status(thm)],[f540]) ).
fof(f542,plain,
( sP35_prd
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f543,plain,
( op2(e23,e22) = e20
| op2(e23,e20) != e22
| ~ sP29_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f545,plain,
( op2(e23,e22) != e20
| ~ sP35_prd
| sP29_prd ),
inference(cnf_transformation,[status(thm)],[f541]) ).
fof(f546,definition,
( sP36_prd
<=> ( ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP36_prd])],[]) ).
fof(f547,plain,
( sP30_prd
<=> ( ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& sP36_prd ) ),
inference(formula_renaming,[status(thm)],[f504,f546]) ).
fof(f548,plain,
( ( ( op1(e13,e10) != e11
& op1(e13,e11) = e10 )
| ~ sP36_prd
| sP30_prd )
& ( ( ( op1(e13,e10) = e11
| op1(e13,e11) != e10 )
& sP36_prd )
| ~ sP30_prd ) ),
inference(NNF_transformation,[status(thm)],[f547]) ).
fof(f549,plain,
( sP36_prd
| ~ sP30_prd ),
inference(cnf_transformation,[status(thm)],[f548]) ).
fof(f553,definition,
( sP37_prd
<=> ( ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP37_prd])],[]) ).
fof(f554,plain,
( sP31_prd
<=> ( ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& sP37_prd ) ),
inference(formula_renaming,[status(thm)],[f511,f553]) ).
fof(f555,plain,
( ( ( op1(e13,e11) != e10
& op1(e13,e10) = e11 )
| ~ sP37_prd
| sP31_prd )
& ( ( ( op1(e13,e11) = e10
| op1(e13,e10) != e11 )
& sP37_prd )
| ~ sP31_prd ) ),
inference(NNF_transformation,[status(thm)],[f554]) ).
fof(f556,plain,
( sP37_prd
| ~ sP31_prd ),
inference(cnf_transformation,[status(thm)],[f555]) ).
fof(f567,definition,
( sP39_prd
<=> ( ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP39_prd])],[]) ).
fof(f568,plain,
( sP33_prd
<=> ( ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& sP39_prd ) ),
inference(formula_renaming,[status(thm)],[f525,f567]) ).
fof(f569,plain,
( ( ( op2(e23,e20) != e21
& op2(e23,e21) = e20 )
| ~ sP39_prd
| sP33_prd )
& ( ( ( op2(e23,e20) = e21
| op2(e23,e21) != e20 )
& sP39_prd )
| ~ sP33_prd ) ),
inference(NNF_transformation,[status(thm)],[f568]) ).
fof(f570,plain,
( sP39_prd
| ~ sP33_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f572,plain,
( op2(e23,e21) = e20
| ~ sP39_prd
| sP33_prd ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f574,definition,
( sP40_prd
<=> ( ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP40_prd])],[]) ).
fof(f575,plain,
( sP34_prd
<=> ( ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& sP40_prd ) ),
inference(formula_renaming,[status(thm)],[f532,f574]) ).
fof(f576,plain,
( ( ( op2(e23,e21) != e20
& op2(e23,e20) = e21 )
| ~ sP40_prd
| sP34_prd )
& ( ( ( op2(e23,e21) = e20
| op2(e23,e20) != e21 )
& sP40_prd )
| ~ sP34_prd ) ),
inference(NNF_transformation,[status(thm)],[f575]) ).
fof(f577,plain,
( sP40_prd
| ~ sP34_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f579,plain,
( op2(e23,e20) = e21
| ~ sP40_prd
| sP34_prd ),
inference(cnf_transformation,[status(thm)],[f576]) ).
fof(f581,definition,
( sP41_prd
<=> ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP41_prd])],[]) ).
fof(f582,plain,
( sP35_prd
<=> ( ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& sP41_prd ) ),
inference(formula_renaming,[status(thm)],[f539,f581]) ).
fof(f583,plain,
( ( ( op2(e22,e22) != e23
& op2(e22,e23) = e22 )
| ~ sP41_prd
| sP35_prd )
& ( ( ( op2(e22,e22) = e23
| op2(e22,e23) != e22 )
& sP41_prd )
| ~ sP35_prd ) ),
inference(NNF_transformation,[status(thm)],[f582]) ).
fof(f584,plain,
( sP41_prd
| ~ sP35_prd ),
inference(cnf_transformation,[status(thm)],[f583]) ).
fof(f587,plain,
( op2(e22,e22) != e23
| ~ sP41_prd
| sP35_prd ),
inference(cnf_transformation,[status(thm)],[f583]) ).
fof(f588,definition,
( sP42_prd
<=> ( ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP42_prd])],[]) ).
fof(f589,plain,
( sP36_prd
<=> ( ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& sP42_prd ) ),
inference(formula_renaming,[status(thm)],[f546,f588]) ).
fof(f590,plain,
( ( ( op1(e13,e10) != e10
& op1(e13,e10) = e10 )
| ~ sP42_prd
| sP36_prd )
& ( ( ( op1(e13,e10) = e10
| op1(e13,e10) != e10 )
& sP42_prd )
| ~ sP36_prd ) ),
inference(NNF_transformation,[status(thm)],[f589]) ).
fof(f591,plain,
( sP42_prd
| ~ sP36_prd ),
inference(cnf_transformation,[status(thm)],[f590]) ).
fof(f595,definition,
( sP43_prd
<=> ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP43_prd])],[]) ).
fof(f596,plain,
( sP37_prd
<=> ( ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& sP43_prd ) ),
inference(formula_renaming,[status(thm)],[f553,f595]) ).
fof(f597,plain,
( ( ( op1(e12,e11) != e13
& op1(e12,e13) = e11 )
| ~ sP43_prd
| sP37_prd )
& ( ( ( op1(e12,e11) = e13
| op1(e12,e13) != e11 )
& sP43_prd )
| ~ sP37_prd ) ),
inference(NNF_transformation,[status(thm)],[f596]) ).
fof(f598,plain,
( sP43_prd
| ~ sP37_prd ),
inference(cnf_transformation,[status(thm)],[f597]) ).
fof(f609,definition,
( sP45_prd
<=> ( ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP45_prd])],[]) ).
fof(f610,plain,
( sP39_prd
<=> ( ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& sP45_prd ) ),
inference(formula_renaming,[status(thm)],[f567,f609]) ).
fof(f611,plain,
( ( ( op2(e23,e20) != e20
& op2(e23,e20) = e20 )
| ~ sP45_prd
| sP39_prd )
& ( ( ( op2(e23,e20) = e20
| op2(e23,e20) != e20 )
& sP45_prd )
| ~ sP39_prd ) ),
inference(NNF_transformation,[status(thm)],[f610]) ).
fof(f612,plain,
( sP45_prd
| ~ sP39_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f614,plain,
( op2(e23,e20) = e20
| ~ sP45_prd
| sP39_prd ),
inference(cnf_transformation,[status(thm)],[f611]) ).
fof(f616,definition,
( sP46_prd
<=> ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP46_prd])],[]) ).
fof(f617,plain,
( sP40_prd
<=> ( ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& sP46_prd ) ),
inference(formula_renaming,[status(thm)],[f574,f616]) ).
fof(f618,plain,
( ( ( op2(e22,e21) != e23
& op2(e22,e23) = e21 )
| ~ sP46_prd
| sP40_prd )
& ( ( ( op2(e22,e21) = e23
| op2(e22,e23) != e21 )
& sP46_prd )
| ~ sP40_prd ) ),
inference(NNF_transformation,[status(thm)],[f617]) ).
fof(f619,plain,
( sP46_prd
| ~ sP40_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f621,plain,
( op2(e22,e23) = e21
| ~ sP46_prd
| sP40_prd ),
inference(cnf_transformation,[status(thm)],[f618]) ).
fof(f623,definition,
( sP47_prd
<=> ( ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP47_prd])],[]) ).
fof(f624,plain,
( sP41_prd
<=> ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP47_prd ) ),
inference(formula_renaming,[status(thm)],[f581,f623]) ).
fof(f625,plain,
( ( ( op2(e22,e22) != e22
& op2(e22,e22) = e22 )
| ~ sP47_prd
| sP41_prd )
& ( ( ( op2(e22,e22) = e22
| op2(e22,e22) != e22 )
& sP47_prd )
| ~ sP41_prd ) ),
inference(NNF_transformation,[status(thm)],[f624]) ).
fof(f626,plain,
( sP47_prd
| ~ sP41_prd ),
inference(cnf_transformation,[status(thm)],[f625]) ).
fof(f628,plain,
( op2(e22,e22) = e22
| ~ sP47_prd
| sP41_prd ),
inference(cnf_transformation,[status(thm)],[f625]) ).
fof(f630,definition,
( sP48_prd
<=> ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP48_prd])],[]) ).
fof(f631,plain,
( sP42_prd
<=> ( ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& sP48_prd ) ),
inference(formula_renaming,[status(thm)],[f588,f630]) ).
fof(f632,plain,
( ( ( op1(e12,e10) != e13
& op1(e12,e13) = e10 )
| ~ sP48_prd
| sP42_prd )
& ( ( ( op1(e12,e10) = e13
| op1(e12,e13) != e10 )
& sP48_prd )
| ~ sP42_prd ) ),
inference(NNF_transformation,[status(thm)],[f631]) ).
fof(f633,plain,
( sP48_prd
| ~ sP42_prd ),
inference(cnf_transformation,[status(thm)],[f632]) ).
fof(f637,definition,
( sP49_prd
<=> ( ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP49_prd])],[]) ).
fof(f638,plain,
( sP43_prd
<=> ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP49_prd ) ),
inference(formula_renaming,[status(thm)],[f595,f637]) ).
fof(f639,plain,
( ( ( op1(e12,e11) != e12
& op1(e12,e12) = e11 )
| ~ sP49_prd
| sP43_prd )
& ( ( ( op1(e12,e11) = e12
| op1(e12,e12) != e11 )
& sP49_prd )
| ~ sP43_prd ) ),
inference(NNF_transformation,[status(thm)],[f638]) ).
fof(f640,plain,
( sP49_prd
| ~ sP43_prd ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f651,definition,
( sP51_prd
<=> ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP51_prd])],[]) ).
fof(f652,plain,
( sP45_prd
<=> ( ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& sP51_prd ) ),
inference(formula_renaming,[status(thm)],[f609,f651]) ).
fof(f653,plain,
( ( ( op2(e22,e20) != e23
& op2(e22,e23) = e20 )
| ~ sP51_prd
| sP45_prd )
& ( ( ( op2(e22,e20) = e23
| op2(e22,e23) != e20 )
& sP51_prd )
| ~ sP45_prd ) ),
inference(NNF_transformation,[status(thm)],[f652]) ).
fof(f654,plain,
( sP51_prd
| ~ sP45_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f656,plain,
( op2(e22,e23) = e20
| ~ sP51_prd
| sP45_prd ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f658,definition,
( sP52_prd
<=> ( ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP52_prd])],[]) ).
fof(f659,plain,
( sP46_prd
<=> ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP52_prd ) ),
inference(formula_renaming,[status(thm)],[f616,f658]) ).
fof(f660,plain,
( ( ( op2(e22,e21) != e22
& op2(e22,e22) = e21 )
| ~ sP52_prd
| sP46_prd )
& ( ( ( op2(e22,e21) = e22
| op2(e22,e22) != e21 )
& sP52_prd )
| ~ sP46_prd ) ),
inference(NNF_transformation,[status(thm)],[f659]) ).
fof(f661,plain,
( sP52_prd
| ~ sP46_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f663,plain,
( op2(e22,e22) = e21
| ~ sP52_prd
| sP46_prd ),
inference(cnf_transformation,[status(thm)],[f660]) ).
fof(f665,definition,
( sP53_prd
<=> ( ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP53_prd])],[]) ).
fof(f666,plain,
( sP47_prd
<=> ( ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& sP53_prd ) ),
inference(formula_renaming,[status(thm)],[f623,f665]) ).
fof(f667,plain,
( ( ( op2(e22,e22) != e21
& op2(e22,e21) = e22 )
| ~ sP53_prd
| sP47_prd )
& ( ( ( op2(e22,e22) = e21
| op2(e22,e21) != e22 )
& sP53_prd )
| ~ sP47_prd ) ),
inference(NNF_transformation,[status(thm)],[f666]) ).
fof(f668,plain,
( sP53_prd
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f669,plain,
( op2(e22,e22) = e21
| op2(e22,e21) != e22
| ~ sP47_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f670,plain,
( op2(e22,e21) = e22
| ~ sP53_prd
| sP47_prd ),
inference(cnf_transformation,[status(thm)],[f667]) ).
fof(f672,definition,
( sP54_prd
<=> ( ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP54_prd])],[]) ).
fof(f673,plain,
( sP48_prd
<=> ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP54_prd ) ),
inference(formula_renaming,[status(thm)],[f630,f672]) ).
fof(f674,plain,
( ( ( op1(e12,e10) != e12
& op1(e12,e12) = e10 )
| ~ sP54_prd
| sP48_prd )
& ( ( ( op1(e12,e10) = e12
| op1(e12,e12) != e10 )
& sP54_prd )
| ~ sP48_prd ) ),
inference(NNF_transformation,[status(thm)],[f673]) ).
fof(f675,plain,
( sP54_prd
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f676,plain,
( op1(e12,e10) = e12
| op1(e12,e12) != e10
| ~ sP48_prd ),
inference(cnf_transformation,[status(thm)],[f674]) ).
fof(f679,definition,
( sP55_prd
<=> ( ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP55_prd])],[]) ).
fof(f680,plain,
( sP49_prd
<=> ( ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& sP55_prd ) ),
inference(formula_renaming,[status(thm)],[f637,f679]) ).
fof(f681,plain,
( ( ( op1(e12,e11) != e11
& op1(e12,e11) = e11 )
| ~ sP55_prd
| sP49_prd )
& ( ( ( op1(e12,e11) = e11
| op1(e12,e11) != e11 )
& sP55_prd )
| ~ sP49_prd ) ),
inference(NNF_transformation,[status(thm)],[f680]) ).
fof(f682,plain,
( sP55_prd
| ~ sP49_prd ),
inference(cnf_transformation,[status(thm)],[f681]) ).
fof(f693,definition,
( sP57_prd
<=> ( ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP57_prd])],[]) ).
fof(f694,plain,
( sP51_prd
<=> ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP57_prd ) ),
inference(formula_renaming,[status(thm)],[f651,f693]) ).
fof(f695,plain,
( ( ( op2(e22,e20) != e22
& op2(e22,e22) = e20 )
| ~ sP57_prd
| sP51_prd )
& ( ( ( op2(e22,e20) = e22
| op2(e22,e22) != e20 )
& sP57_prd )
| ~ sP51_prd ) ),
inference(NNF_transformation,[status(thm)],[f694]) ).
fof(f696,plain,
( sP57_prd
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f697,plain,
( op2(e22,e20) = e22
| op2(e22,e22) != e20
| ~ sP51_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f698,plain,
( op2(e22,e22) = e20
| ~ sP57_prd
| sP51_prd ),
inference(cnf_transformation,[status(thm)],[f695]) ).
fof(f700,definition,
( sP58_prd
<=> ( ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP58_prd])],[]) ).
fof(f701,plain,
( sP52_prd
<=> ( ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& sP58_prd ) ),
inference(formula_renaming,[status(thm)],[f658,f700]) ).
fof(f702,plain,
( ( ( op2(e22,e21) != e21
& op2(e22,e21) = e21 )
| ~ sP58_prd
| sP52_prd )
& ( ( ( op2(e22,e21) = e21
| op2(e22,e21) != e21 )
& sP58_prd )
| ~ sP52_prd ) ),
inference(NNF_transformation,[status(thm)],[f701]) ).
fof(f703,plain,
( sP58_prd
| ~ sP52_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f705,plain,
( op2(e22,e21) = e21
| ~ sP58_prd
| sP52_prd ),
inference(cnf_transformation,[status(thm)],[f702]) ).
fof(f707,definition,
( sP59_prd
<=> ( ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP59_prd])],[]) ).
fof(f708,plain,
( sP53_prd
<=> ( ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& sP59_prd ) ),
inference(formula_renaming,[status(thm)],[f665,f707]) ).
fof(f709,plain,
( ( ( op2(e22,e22) != e20
& op2(e22,e20) = e22 )
| ~ sP59_prd
| sP53_prd )
& ( ( ( op2(e22,e22) = e20
| op2(e22,e20) != e22 )
& sP59_prd )
| ~ sP53_prd ) ),
inference(NNF_transformation,[status(thm)],[f708]) ).
fof(f710,plain,
( sP59_prd
| ~ sP53_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f712,plain,
( op2(e22,e20) = e22
| ~ sP59_prd
| sP53_prd ),
inference(cnf_transformation,[status(thm)],[f709]) ).
fof(f714,definition,
( sP60_prd
<=> ( ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP60_prd])],[]) ).
fof(f715,plain,
( sP54_prd
<=> ( ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& sP60_prd ) ),
inference(formula_renaming,[status(thm)],[f672,f714]) ).
fof(f716,plain,
( ( ( op1(e12,e10) != e11
& op1(e12,e11) = e10 )
| ~ sP60_prd
| sP54_prd )
& ( ( ( op1(e12,e10) = e11
| op1(e12,e11) != e10 )
& sP60_prd )
| ~ sP54_prd ) ),
inference(NNF_transformation,[status(thm)],[f715]) ).
fof(f717,plain,
( sP60_prd
| ~ sP54_prd ),
inference(cnf_transformation,[status(thm)],[f716]) ).
fof(f721,definition,
( sP61_prd
<=> ( ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP61_prd])],[]) ).
fof(f722,plain,
( sP55_prd
<=> ( ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& sP61_prd ) ),
inference(formula_renaming,[status(thm)],[f679,f721]) ).
fof(f723,plain,
( ( ( op1(e12,e11) != e10
& op1(e12,e10) = e11 )
| ~ sP61_prd
| sP55_prd )
& ( ( ( op1(e12,e11) = e10
| op1(e12,e10) != e11 )
& sP61_prd )
| ~ sP55_prd ) ),
inference(NNF_transformation,[status(thm)],[f722]) ).
fof(f724,plain,
( sP61_prd
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f725,plain,
( op1(e12,e11) = e10
| op1(e12,e10) != e11
| ~ sP55_prd ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f735,definition,
( sP63_prd
<=> ( ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP63_prd])],[]) ).
fof(f736,plain,
( sP57_prd
<=> ( ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& sP63_prd ) ),
inference(formula_renaming,[status(thm)],[f693,f735]) ).
fof(f737,plain,
( ( ( op2(e22,e20) != e21
& op2(e22,e21) = e20 )
| ~ sP63_prd
| sP57_prd )
& ( ( ( op2(e22,e20) = e21
| op2(e22,e21) != e20 )
& sP63_prd )
| ~ sP57_prd ) ),
inference(NNF_transformation,[status(thm)],[f736]) ).
fof(f738,plain,
( sP63_prd
| ~ sP57_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f741,plain,
( op2(e22,e20) != e21
| ~ sP63_prd
| sP57_prd ),
inference(cnf_transformation,[status(thm)],[f737]) ).
fof(f742,definition,
( sP64_prd
<=> ( ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP64_prd])],[]) ).
fof(f743,plain,
( sP58_prd
<=> ( ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& sP64_prd ) ),
inference(formula_renaming,[status(thm)],[f700,f742]) ).
fof(f744,plain,
( ( ( op2(e22,e21) != e20
& op2(e22,e20) = e21 )
| ~ sP64_prd
| sP58_prd )
& ( ( ( op2(e22,e21) = e20
| op2(e22,e20) != e21 )
& sP64_prd )
| ~ sP58_prd ) ),
inference(NNF_transformation,[status(thm)],[f743]) ).
fof(f745,plain,
( sP64_prd
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f746,plain,
( op2(e22,e21) = e20
| op2(e22,e20) != e21
| ~ sP58_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f748,plain,
( op2(e22,e21) != e20
| ~ sP64_prd
| sP58_prd ),
inference(cnf_transformation,[status(thm)],[f744]) ).
fof(f749,definition,
( sP65_prd
<=> ( ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP65_prd])],[]) ).
fof(f750,plain,
( sP59_prd
<=> ( ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& sP65_prd ) ),
inference(formula_renaming,[status(thm)],[f707,f749]) ).
fof(f751,plain,
( ( ( op2(e21,e22) != e23
& op2(e21,e23) = e22 )
| ~ sP65_prd
| sP59_prd )
& ( ( ( op2(e21,e22) = e23
| op2(e21,e23) != e22 )
& sP65_prd )
| ~ sP59_prd ) ),
inference(NNF_transformation,[status(thm)],[f750]) ).
fof(f752,plain,
( sP65_prd
| ~ sP59_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f754,plain,
( op2(e21,e23) = e22
| ~ sP65_prd
| sP59_prd ),
inference(cnf_transformation,[status(thm)],[f751]) ).
fof(f756,definition,
( sP66_prd
<=> ( ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP66_prd])],[]) ).
fof(f757,plain,
( sP60_prd
<=> ( ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& sP66_prd ) ),
inference(formula_renaming,[status(thm)],[f714,f756]) ).
fof(f758,plain,
( ( ( op1(e12,e10) != e10
& op1(e12,e10) = e10 )
| ~ sP66_prd
| sP60_prd )
& ( ( ( op1(e12,e10) = e10
| op1(e12,e10) != e10 )
& sP66_prd )
| ~ sP60_prd ) ),
inference(NNF_transformation,[status(thm)],[f757]) ).
fof(f759,plain,
( sP66_prd
| ~ sP60_prd ),
inference(cnf_transformation,[status(thm)],[f758]) ).
fof(f763,definition,
( sP67_prd
<=> ( ( op1(e11,e11) = e12
| op1(e11,e12) != e11 )
& ( op1(e11,e11) = e11
| op1(e11,e11) != e11 )
& ( op1(e11,e11) = e10
| op1(e11,e10) != e11 )
& ( op1(e10,e11) = e13
| op1(e10,e13) != e11 )
& ( op1(e10,e11) = e12
| op1(e10,e12) != e11 )
& ( op1(e10,e11) = e11
| op1(e10,e11) != e11 )
& ( op1(e10,e11) = e10
| op1(e10,e10) != e11 ) ) ),
introduced(definition,[new_symbols(definition,[sP67_prd])],[]) ).
fof(f764,plain,
( sP61_prd
<=> ( ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& sP67_prd ) ),
inference(formula_renaming,[status(thm)],[f721,f763]) ).
fof(f765,plain,
( ( ( op1(e11,e11) != e13
& op1(e11,e13) = e11 )
| ~ sP67_prd
| sP61_prd )
& ( ( ( op1(e11,e11) = e13
| op1(e11,e13) != e11 )
& sP67_prd )
| ~ sP61_prd ) ),
inference(NNF_transformation,[status(thm)],[f764]) ).
fof(f767,plain,
( op1(e11,e11) = e13
| op1(e11,e13) != e11
| ~ sP61_prd ),
inference(cnf_transformation,[status(thm)],[f765]) ).
fof(f777,definition,
( sP69_prd
<=> ( ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP69_prd])],[]) ).
fof(f778,plain,
( sP63_prd
<=> ( ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& sP69_prd ) ),
inference(formula_renaming,[status(thm)],[f735,f777]) ).
fof(f779,plain,
( ( ( op2(e22,e20) != e20
& op2(e22,e20) = e20 )
| ~ sP69_prd
| sP63_prd )
& ( ( ( op2(e22,e20) = e20
| op2(e22,e20) != e20 )
& sP69_prd )
| ~ sP63_prd ) ),
inference(NNF_transformation,[status(thm)],[f778]) ).
fof(f780,plain,
( sP69_prd
| ~ sP63_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f782,plain,
( op2(e22,e20) = e20
| ~ sP69_prd
| sP63_prd ),
inference(cnf_transformation,[status(thm)],[f779]) ).
fof(f784,definition,
( sP70_prd
<=> ( ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP70_prd])],[]) ).
fof(f785,plain,
( sP64_prd
<=> ( ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& sP70_prd ) ),
inference(formula_renaming,[status(thm)],[f742,f784]) ).
fof(f786,plain,
( ( ( op2(e21,e21) != e23
& op2(e21,e23) = e21 )
| ~ sP70_prd
| sP64_prd )
& ( ( ( op2(e21,e21) = e23
| op2(e21,e23) != e21 )
& sP70_prd )
| ~ sP64_prd ) ),
inference(NNF_transformation,[status(thm)],[f785]) ).
fof(f787,plain,
( sP70_prd
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f788,plain,
( op2(e21,e21) = e23
| op2(e21,e23) != e21
| ~ sP64_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f789,plain,
( op2(e21,e23) = e21
| ~ sP70_prd
| sP64_prd ),
inference(cnf_transformation,[status(thm)],[f786]) ).
fof(f791,definition,
( sP71_prd
<=> ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP71_prd])],[]) ).
fof(f792,plain,
( sP65_prd
<=> ( ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& sP71_prd ) ),
inference(formula_renaming,[status(thm)],[f749,f791]) ).
fof(f793,plain,
( ( ( op2(e21,e22) != e22
& op2(e21,e22) = e22 )
| ~ sP71_prd
| sP65_prd )
& ( ( ( op2(e21,e22) = e22
| op2(e21,e22) != e22 )
& sP71_prd )
| ~ sP65_prd ) ),
inference(NNF_transformation,[status(thm)],[f792]) ).
fof(f794,plain,
( sP71_prd
| ~ sP65_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f796,plain,
( op2(e21,e22) = e22
| ~ sP71_prd
| sP65_prd ),
inference(cnf_transformation,[status(thm)],[f793]) ).
fof(f798,definition,
( sP72_prd
<=> ( ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP72_prd])],[]) ).
fof(f799,plain,
( sP66_prd
<=> ( ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& sP72_prd ) ),
inference(formula_renaming,[status(thm)],[f756,f798]) ).
fof(f800,plain,
( ( ( op1(e11,e10) != e13
& op1(e11,e13) = e10 )
| ~ sP72_prd
| sP66_prd )
& ( ( ( op1(e11,e10) = e13
| op1(e11,e13) != e10 )
& sP72_prd )
| ~ sP66_prd ) ),
inference(NNF_transformation,[status(thm)],[f799]) ).
fof(f801,plain,
( sP72_prd
| ~ sP66_prd ),
inference(cnf_transformation,[status(thm)],[f800]) ).
fof(f819,definition,
( sP75_prd
<=> ( ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP75_prd])],[]) ).
fof(f820,plain,
( sP69_prd
<=> ( ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& sP75_prd ) ),
inference(formula_renaming,[status(thm)],[f777,f819]) ).
fof(f821,plain,
( ( ( op2(e21,e20) != e23
& op2(e21,e23) = e20 )
| ~ sP75_prd
| sP69_prd )
& ( ( ( op2(e21,e20) = e23
| op2(e21,e23) != e20 )
& sP75_prd )
| ~ sP69_prd ) ),
inference(NNF_transformation,[status(thm)],[f820]) ).
fof(f822,plain,
( sP75_prd
| ~ sP69_prd ),
inference(cnf_transformation,[status(thm)],[f821]) ).
fof(f824,plain,
( op2(e21,e23) = e20
| ~ sP75_prd
| sP69_prd ),
inference(cnf_transformation,[status(thm)],[f821]) ).
fof(f826,definition,
( sP76_prd
<=> ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP76_prd])],[]) ).
fof(f827,plain,
( sP70_prd
<=> ( ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& sP76_prd ) ),
inference(formula_renaming,[status(thm)],[f784,f826]) ).
fof(f828,plain,
( ( ( op2(e21,e21) != e22
& op2(e21,e22) = e21 )
| ~ sP76_prd
| sP70_prd )
& ( ( ( op2(e21,e21) = e22
| op2(e21,e22) != e21 )
& sP76_prd )
| ~ sP70_prd ) ),
inference(NNF_transformation,[status(thm)],[f827]) ).
fof(f829,plain,
( sP76_prd
| ~ sP70_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f832,plain,
( op2(e21,e21) != e22
| ~ sP76_prd
| sP70_prd ),
inference(cnf_transformation,[status(thm)],[f828]) ).
fof(f833,definition,
( sP77_prd
<=> ( ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP77_prd])],[]) ).
fof(f834,plain,
( sP71_prd
<=> ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& sP77_prd ) ),
inference(formula_renaming,[status(thm)],[f791,f833]) ).
fof(f835,plain,
( ( ( op2(e21,e22) != e21
& op2(e21,e21) = e22 )
| ~ sP77_prd
| sP71_prd )
& ( ( ( op2(e21,e22) = e21
| op2(e21,e21) != e22 )
& sP77_prd )
| ~ sP71_prd ) ),
inference(NNF_transformation,[status(thm)],[f834]) ).
fof(f836,plain,
( sP77_prd
| ~ sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f839,plain,
( op2(e21,e22) != e21
| ~ sP77_prd
| sP71_prd ),
inference(cnf_transformation,[status(thm)],[f835]) ).
fof(f840,definition,
( sP78_prd
<=> ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP78_prd])],[]) ).
fof(f841,plain,
( sP72_prd
<=> ( ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& sP78_prd ) ),
inference(formula_renaming,[status(thm)],[f798,f840]) ).
fof(f842,plain,
( ( ( op1(e11,e10) != e12
& op1(e11,e12) = e10 )
| ~ sP78_prd
| sP72_prd )
& ( ( ( op1(e11,e10) = e12
| op1(e11,e12) != e10 )
& sP78_prd )
| ~ sP72_prd ) ),
inference(NNF_transformation,[status(thm)],[f841]) ).
fof(f843,plain,
( sP78_prd
| ~ sP72_prd ),
inference(cnf_transformation,[status(thm)],[f842]) ).
fof(f861,definition,
( sP81_prd
<=> ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP81_prd])],[]) ).
fof(f862,plain,
( sP75_prd
<=> ( ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& sP81_prd ) ),
inference(formula_renaming,[status(thm)],[f819,f861]) ).
fof(f863,plain,
( ( ( op2(e21,e20) != e22
& op2(e21,e22) = e20 )
| ~ sP81_prd
| sP75_prd )
& ( ( ( op2(e21,e20) = e22
| op2(e21,e22) != e20 )
& sP81_prd )
| ~ sP75_prd ) ),
inference(NNF_transformation,[status(thm)],[f862]) ).
fof(f864,plain,
( sP81_prd
| ~ sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f866,plain,
( op2(e21,e22) = e20
| ~ sP81_prd
| sP75_prd ),
inference(cnf_transformation,[status(thm)],[f863]) ).
fof(f868,definition,
( sP82_prd
<=> ( ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP82_prd])],[]) ).
fof(f869,plain,
( sP76_prd
<=> ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& sP82_prd ) ),
inference(formula_renaming,[status(thm)],[f826,f868]) ).
fof(f870,plain,
( ( ( op2(e21,e21) != e21
& op2(e21,e21) = e21 )
| ~ sP82_prd
| sP76_prd )
& ( ( ( op2(e21,e21) = e21
| op2(e21,e21) != e21 )
& sP82_prd )
| ~ sP76_prd ) ),
inference(NNF_transformation,[status(thm)],[f869]) ).
fof(f871,plain,
( sP82_prd
| ~ sP76_prd ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f873,plain,
( op2(e21,e21) = e21
| ~ sP82_prd
| sP76_prd ),
inference(cnf_transformation,[status(thm)],[f870]) ).
fof(f875,definition,
( sP83_prd
<=> ( ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP83_prd])],[]) ).
fof(f876,plain,
( sP77_prd
<=> ( ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& sP83_prd ) ),
inference(formula_renaming,[status(thm)],[f833,f875]) ).
fof(f877,plain,
( ( ( op2(e21,e22) != e20
& op2(e21,e20) = e22 )
| ~ sP83_prd
| sP77_prd )
& ( ( ( op2(e21,e22) = e20
| op2(e21,e20) != e22 )
& sP83_prd )
| ~ sP77_prd ) ),
inference(NNF_transformation,[status(thm)],[f876]) ).
fof(f878,plain,
( sP83_prd
| ~ sP77_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f880,plain,
( op2(e21,e20) = e22
| ~ sP83_prd
| sP77_prd ),
inference(cnf_transformation,[status(thm)],[f877]) ).
fof(f882,definition,
( sP84_prd
<=> ( ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP84_prd])],[]) ).
fof(f883,plain,
( sP78_prd
<=> ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& sP84_prd ) ),
inference(formula_renaming,[status(thm)],[f840,f882]) ).
fof(f884,plain,
( ( ( op1(e11,e10) != e11
& op1(e11,e11) = e10 )
| ~ sP84_prd
| sP78_prd )
& ( ( ( op1(e11,e10) = e11
| op1(e11,e11) != e10 )
& sP84_prd )
| ~ sP78_prd ) ),
inference(NNF_transformation,[status(thm)],[f883]) ).
fof(f885,plain,
( sP84_prd
| ~ sP78_prd ),
inference(cnf_transformation,[status(thm)],[f884]) ).
fof(f903,definition,
( sP87_prd
<=> ( ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP87_prd])],[]) ).
fof(f904,plain,
( sP81_prd
<=> ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& sP87_prd ) ),
inference(formula_renaming,[status(thm)],[f861,f903]) ).
fof(f905,plain,
( ( ( op2(e21,e20) != e21
& op2(e21,e21) = e20 )
| ~ sP87_prd
| sP81_prd )
& ( ( ( op2(e21,e20) = e21
| op2(e21,e21) != e20 )
& sP87_prd )
| ~ sP81_prd ) ),
inference(NNF_transformation,[status(thm)],[f904]) ).
fof(f906,plain,
( sP87_prd
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f907,plain,
( op2(e21,e20) = e21
| op2(e21,e21) != e20
| ~ sP81_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f908,plain,
( op2(e21,e21) = e20
| ~ sP87_prd
| sP81_prd ),
inference(cnf_transformation,[status(thm)],[f905]) ).
fof(f910,definition,
( sP88_prd
<=> ( ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP88_prd])],[]) ).
fof(f911,plain,
( sP82_prd
<=> ( ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& sP88_prd ) ),
inference(formula_renaming,[status(thm)],[f868,f910]) ).
fof(f912,plain,
( ( ( op2(e21,e21) != e20
& op2(e21,e20) = e21 )
| ~ sP88_prd
| sP82_prd )
& ( ( ( op2(e21,e21) = e20
| op2(e21,e20) != e21 )
& sP88_prd )
| ~ sP82_prd ) ),
inference(NNF_transformation,[status(thm)],[f911]) ).
fof(f913,plain,
( sP88_prd
| ~ sP82_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f915,plain,
( op2(e21,e20) = e21
| ~ sP88_prd
| sP82_prd ),
inference(cnf_transformation,[status(thm)],[f912]) ).
fof(f917,definition,
( sP89_prd
<=> ( ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP89_prd])],[]) ).
fof(f918,plain,
( sP83_prd
<=> ( ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& sP89_prd ) ),
inference(formula_renaming,[status(thm)],[f875,f917]) ).
fof(f919,plain,
( ( ( op2(e20,e22) != e23
& op2(e20,e23) = e22 )
| ~ sP89_prd
| sP83_prd )
& ( ( ( op2(e20,e22) = e23
| op2(e20,e23) != e22 )
& sP89_prd )
| ~ sP83_prd ) ),
inference(NNF_transformation,[status(thm)],[f918]) ).
fof(f920,plain,
( sP89_prd
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f921,plain,
( op2(e20,e22) = e23
| op2(e20,e23) != e22
| ~ sP83_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f922,plain,
( op2(e20,e23) = e22
| ~ sP89_prd
| sP83_prd ),
inference(cnf_transformation,[status(thm)],[f919]) ).
fof(f924,definition,
( sP90_prd
<=> ( ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP90_prd])],[]) ).
fof(f925,plain,
( sP84_prd
<=> ( ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& sP90_prd ) ),
inference(formula_renaming,[status(thm)],[f882,f924]) ).
fof(f926,plain,
( ( ( op1(e11,e10) != e10
& op1(e11,e10) = e10 )
| ~ sP90_prd
| sP84_prd )
& ( ( ( op1(e11,e10) = e10
| op1(e11,e10) != e10 )
& sP90_prd )
| ~ sP84_prd ) ),
inference(NNF_transformation,[status(thm)],[f925]) ).
fof(f927,plain,
( sP90_prd
| ~ sP84_prd ),
inference(cnf_transformation,[status(thm)],[f926]) ).
fof(f945,definition,
( sP93_prd
<=> ( ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP93_prd])],[]) ).
fof(f946,plain,
( sP87_prd
<=> ( ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& sP93_prd ) ),
inference(formula_renaming,[status(thm)],[f903,f945]) ).
fof(f947,plain,
( ( ( op2(e21,e20) != e20
& op2(e21,e20) = e20 )
| ~ sP93_prd
| sP87_prd )
& ( ( ( op2(e21,e20) = e20
| op2(e21,e20) != e20 )
& sP93_prd )
| ~ sP87_prd ) ),
inference(NNF_transformation,[status(thm)],[f946]) ).
fof(f948,plain,
( sP93_prd
| ~ sP87_prd ),
inference(cnf_transformation,[status(thm)],[f947]) ).
fof(f951,plain,
( op2(e21,e20) != e20
| ~ sP93_prd
| sP87_prd ),
inference(cnf_transformation,[status(thm)],[f947]) ).
fof(f952,definition,
( sP94_prd
<=> ( ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP94_prd])],[]) ).
fof(f953,plain,
( sP88_prd
<=> ( ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& sP94_prd ) ),
inference(formula_renaming,[status(thm)],[f910,f952]) ).
fof(f954,plain,
( ( ( op2(e20,e21) != e23
& op2(e20,e23) = e21 )
| ~ sP94_prd
| sP88_prd )
& ( ( ( op2(e20,e21) = e23
| op2(e20,e23) != e21 )
& sP94_prd )
| ~ sP88_prd ) ),
inference(NNF_transformation,[status(thm)],[f953]) ).
fof(f956,plain,
( op2(e20,e21) = e23
| op2(e20,e23) != e21
| ~ sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f957,plain,
( op2(e20,e23) = e21
| ~ sP94_prd
| sP88_prd ),
inference(cnf_transformation,[status(thm)],[f954]) ).
fof(f959,definition,
( sP95_prd
<=> ( ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) ) ),
introduced(definition,[new_symbols(definition,[sP95_prd])],[]) ).
fof(f960,plain,
( sP89_prd
<=> ( ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& sP95_prd ) ),
inference(formula_renaming,[status(thm)],[f917,f959]) ).
fof(f961,plain,
( ( ( op2(e20,e22) != e22
& op2(e20,e22) = e22 )
| ~ sP95_prd
| sP89_prd )
& ( ( ( op2(e20,e22) = e22
| op2(e20,e22) != e22 )
& sP95_prd )
| ~ sP89_prd ) ),
inference(NNF_transformation,[status(thm)],[f960]) ).
fof(f962,plain,
( sP95_prd
| ~ sP89_prd ),
inference(cnf_transformation,[status(thm)],[f961]) ).
fof(f964,plain,
( op2(e20,e22) = e22
| ~ sP95_prd
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f961]) ).
fof(f965,plain,
( op2(e20,e22) != e22
| ~ sP95_prd
| sP89_prd ),
inference(cnf_transformation,[status(thm)],[f961]) ).
fof(f966,definition,
( sP96_prd
<=> ( ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP96_prd])],[]) ).
fof(f967,plain,
( sP90_prd
<=> ( ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& sP96_prd ) ),
inference(formula_renaming,[status(thm)],[f924,f966]) ).
fof(f968,plain,
( ( ( op1(e10,e10) != e13
& op1(e10,e13) = e10 )
| ~ sP96_prd
| sP90_prd )
& ( ( ( op1(e10,e10) = e13
| op1(e10,e13) != e10 )
& sP96_prd )
| ~ sP90_prd ) ),
inference(NNF_transformation,[status(thm)],[f967]) ).
fof(f969,plain,
( sP96_prd
| ~ sP90_prd ),
inference(cnf_transformation,[status(thm)],[f968]) ).
fof(f987,definition,
( sP98_prd
<=> ( ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP98_prd])],[]) ).
fof(f988,plain,
( sP93_prd
<=> ( ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& sP98_prd ) ),
inference(formula_renaming,[status(thm)],[f945,f987]) ).
fof(f989,plain,
( ( ( op2(e20,e20) != e23
& op2(e20,e23) = e20 )
| ~ sP98_prd
| sP93_prd )
& ( ( ( op2(e20,e20) = e23
| op2(e20,e23) != e20 )
& sP98_prd )
| ~ sP93_prd ) ),
inference(NNF_transformation,[status(thm)],[f988]) ).
fof(f990,plain,
( sP98_prd
| ~ sP93_prd ),
inference(cnf_transformation,[status(thm)],[f989]) ).
fof(f993,plain,
( op2(e20,e20) != e23
| ~ sP98_prd
| sP93_prd ),
inference(cnf_transformation,[status(thm)],[f989]) ).
fof(f994,definition,
( sP99_prd
<=> ( ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) ) ),
introduced(definition,[new_symbols(definition,[sP99_prd])],[]) ).
fof(f995,plain,
( sP94_prd
<=> ( ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& sP99_prd ) ),
inference(formula_renaming,[status(thm)],[f952,f994]) ).
fof(f996,plain,
( ( ( op2(e20,e21) != e22
& op2(e20,e22) = e21 )
| ~ sP99_prd
| sP94_prd )
& ( ( ( op2(e20,e21) = e22
| op2(e20,e22) != e21 )
& sP99_prd )
| ~ sP94_prd ) ),
inference(NNF_transformation,[status(thm)],[f995]) ).
fof(f999,plain,
( op2(e20,e22) = e21
| ~ sP99_prd
| sP94_prd ),
inference(cnf_transformation,[status(thm)],[f996]) ).
fof(f1001,plain,
( ( ( op2(e20,e22) != e21
& op2(e20,e21) = e22 )
| ( op2(e20,e22) != e20
& op2(e20,e20) = e22 )
| sP95_prd )
& ( ( ( op2(e20,e22) = e21
| op2(e20,e21) != e22 )
& ( op2(e20,e22) = e20
| op2(e20,e20) != e22 ) )
| ~ sP95_prd ) ),
inference(NNF_transformation,[status(thm)],[f959]) ).
fof(f1003,plain,
( op2(e20,e22) = e21
| op2(e20,e21) != e22
| ~ sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1001]) ).
fof(f1004,plain,
( op2(e20,e21) = e22
| op2(e20,e20) = e22
| sP95_prd ),
inference(cnf_transformation,[status(thm)],[f1001]) ).
fof(f1008,definition,
( sP100_prd
<=> ( ( op1(e10,e10) = e11
| op1(e10,e11) != e10 )
& ( op1(e10,e10) = e10
| op1(e10,e10) != e10 ) ) ),
introduced(definition,[new_symbols(definition,[sP100_prd])],[]) ).
fof(f1009,plain,
( sP96_prd
<=> ( ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& sP100_prd ) ),
inference(formula_renaming,[status(thm)],[f966,f1008]) ).
fof(f1010,plain,
( ( ( op1(e10,e10) != e12
& op1(e10,e12) = e10 )
| ~ sP100_prd
| sP96_prd )
& ( ( ( op1(e10,e10) = e12
| op1(e10,e12) != e10 )
& sP100_prd )
| ~ sP96_prd ) ),
inference(NNF_transformation,[status(thm)],[f1009]) ).
fof(f1012,plain,
( op1(e10,e10) = e12
| op1(e10,e12) != e10
| ~ sP96_prd ),
inference(cnf_transformation,[status(thm)],[f1010]) ).
fof(f1022,definition,
( sP101_prd
<=> ( ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) ) ),
introduced(definition,[new_symbols(definition,[sP101_prd])],[]) ).
fof(f1023,plain,
( sP98_prd
<=> ( ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& sP101_prd ) ),
inference(formula_renaming,[status(thm)],[f987,f1022]) ).
fof(f1024,plain,
( ( ( op2(e20,e20) != e22
& op2(e20,e22) = e20 )
| ~ sP101_prd
| sP98_prd )
& ( ( ( op2(e20,e20) = e22
| op2(e20,e22) != e20 )
& sP101_prd )
| ~ sP98_prd ) ),
inference(NNF_transformation,[status(thm)],[f1023]) ).
fof(f1025,plain,
( sP101_prd
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1024]) ).
fof(f1026,plain,
( op2(e20,e20) = e22
| op2(e20,e22) != e20
| ~ sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1024]) ).
fof(f1027,plain,
( op2(e20,e22) = e20
| ~ sP101_prd
| sP98_prd ),
inference(cnf_transformation,[status(thm)],[f1024]) ).
fof(f1029,plain,
( ( ( op2(e20,e21) != e21
& op2(e20,e21) = e21 )
| ( op2(e20,e21) != e20
& op2(e20,e20) = e21 )
| sP99_prd )
& ( ( ( op2(e20,e21) = e21
| op2(e20,e21) != e21 )
& ( op2(e20,e21) = e20
| op2(e20,e20) != e21 ) )
| ~ sP99_prd ) ),
inference(NNF_transformation,[status(thm)],[f994]) ).
fof(f1033,plain,
( op2(e20,e21) != e21
| op2(e20,e20) = e21
| sP99_prd ),
inference(cnf_transformation,[status(thm)],[f1029]) ).
fof(f1043,plain,
( ( ( op2(e20,e20) != e21
& op2(e20,e21) = e20 )
| ( op2(e20,e20) != e20
& op2(e20,e20) = e20 )
| sP101_prd )
& ( ( ( op2(e20,e20) = e21
| op2(e20,e21) != e20 )
& ( op2(e20,e20) = e20
| op2(e20,e20) != e20 ) )
| ~ sP101_prd ) ),
inference(NNF_transformation,[status(thm)],[f1022]) ).
fof(f1045,plain,
( op2(e20,e20) = e21
| op2(e20,e21) != e20
| ~ sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1046,plain,
( op2(e20,e21) = e20
| op2(e20,e20) = e20
| sP101_prd ),
inference(cnf_transformation,[status(thm)],[f1043]) ).
fof(f1050,definition,
( sQ0_spl
<=> op1(e10,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1051,plain,
( ~ sQ0_spl
| op1(e10,e10) = e10 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1053,definition,
( sQ1_spl
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1054,plain,
( ~ sQ1_spl
| op1(e10,e10) = e11 ),
inference(component_clause,[status(thm)],[f1053]) ).
fof(f1056,definition,
( sQ2_spl
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1057,plain,
( ~ sQ2_spl
| op1(e10,e10) = e12 ),
inference(component_clause,[status(thm)],[f1056]) ).
fof(f1059,definition,
( sQ3_spl
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1062,plain,
( sQ3_spl
| sQ2_spl
| sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f20,f1050,f1053,f1056,f1059]) ).
fof(f1063,definition,
( sQ4_spl
<=> op1(e10,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1064,plain,
( ~ sQ4_spl
| op1(e10,e11) = e10 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,definition,
( sQ5_spl
<=> op1(e10,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1067,plain,
( ~ sQ5_spl
| op1(e10,e11) = e11 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1072,definition,
( sQ7_spl
<=> op1(e10,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1073,plain,
( ~ sQ7_spl
| op1(e10,e11) = e13 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1076,definition,
( sQ8_spl
<=> op1(e10,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1077,plain,
( ~ sQ8_spl
| op1(e10,e12) = e10 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1082,definition,
( sQ10_spl
<=> op1(e10,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1083,plain,
( ~ sQ10_spl
| op1(e10,e12) = e12 ),
inference(component_clause,[status(thm)],[f1082]) ).
fof(f1085,definition,
( sQ11_spl
<=> op1(e10,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
( ~ sQ11_spl
| op1(e10,e12) = e13 ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1089,definition,
( sQ12_spl
<=> op1(e10,e13) = e10 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1090,plain,
( ~ sQ12_spl
| op1(e10,e13) = e10 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1098,definition,
( sQ15_spl
<=> op1(e10,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1099,plain,
( ~ sQ15_spl
| op1(e10,e13) = e13 ),
inference(component_clause,[status(thm)],[f1098]) ).
fof(f1102,definition,
( sQ16_spl
<=> op1(e11,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1103,plain,
( ~ sQ16_spl
| op1(e11,e10) = e10 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,definition,
( sQ17_spl
<=> op1(e11,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1106,plain,
( ~ sQ17_spl
| op1(e11,e10) = e11 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,definition,
( sQ18_spl
<=> op1(e11,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ18_spl
| op1(e11,e10) = e12 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,definition,
( sQ19_spl
<=> op1(e11,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1112,plain,
( ~ sQ19_spl
| op1(e11,e10) = e13 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1115,definition,
( sQ20_spl
<=> op1(e11,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1118,definition,
( sQ21_spl
<=> op1(e11,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1119,plain,
( ~ sQ21_spl
| op1(e11,e11) = e11 ),
inference(component_clause,[status(thm)],[f1118]) ).
fof(f1121,definition,
( sQ22_spl
<=> op1(e11,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1122,plain,
( ~ sQ22_spl
| op1(e11,e11) = e12 ),
inference(component_clause,[status(thm)],[f1121]) ).
fof(f1124,definition,
( sQ23_spl
<=> op1(e11,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1127,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f25,f1115,f1118,f1121,f1124]) ).
fof(f1128,definition,
( sQ24_spl
<=> op1(e11,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1131,definition,
( sQ25_spl
<=> op1(e11,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1132,plain,
( ~ sQ25_spl
| op1(e11,e12) = e11 ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,definition,
( sQ26_spl
<=> op1(e11,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1135,plain,
( ~ sQ26_spl
| op1(e11,e12) = e12 ),
inference(component_clause,[status(thm)],[f1134]) ).
fof(f1137,definition,
( sQ27_spl
<=> op1(e11,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1140,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f26,f1128,f1131,f1134,f1137]) ).
fof(f1144,definition,
( sQ29_spl
<=> op1(e11,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1145,plain,
( ~ sQ29_spl
| op1(e11,e13) = e11 ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,definition,
( sQ30_spl
<=> op1(e11,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1148,plain,
( ~ sQ30_spl
| op1(e11,e13) = e12 ),
inference(component_clause,[status(thm)],[f1147]) ).
fof(f1150,definition,
( sQ31_spl
<=> op1(e11,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1151,plain,
( ~ sQ31_spl
| op1(e11,e13) = e13 ),
inference(component_clause,[status(thm)],[f1150]) ).
fof(f1154,definition,
( sQ32_spl
<=> op1(e12,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1155,plain,
( ~ sQ32_spl
| op1(e12,e10) = e10 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,definition,
( sQ33_spl
<=> op1(e12,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1158,plain,
( ~ sQ33_spl
| op1(e12,e10) = e11 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1159,plain,
( sQ33_spl
| op1(e12,e10) != e11 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,definition,
( sQ34_spl
<=> op1(e12,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1161,plain,
( ~ sQ34_spl
| op1(e12,e10) = e12 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,definition,
( sQ35_spl
<=> op1(e12,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1164,plain,
( ~ sQ35_spl
| op1(e12,e10) = e13 ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1167,definition,
( sQ36_spl
<=> op1(e12,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1168,plain,
( ~ sQ36_spl
| op1(e12,e11) = e10 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,definition,
( sQ37_spl
<=> op1(e12,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1171,plain,
( ~ sQ37_spl
| op1(e12,e11) = e11 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,definition,
( sQ38_spl
<=> op1(e12,e11) = e12 ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1174,plain,
( ~ sQ38_spl
| op1(e12,e11) = e12 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1180,definition,
( sQ40_spl
<=> op1(e12,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1186,definition,
( sQ42_spl
<=> op1(e12,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1187,plain,
( ~ sQ42_spl
| op1(e12,e12) = e12 ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,definition,
( sQ43_spl
<=> op1(e12,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1190,plain,
( ~ sQ43_spl
| op1(e12,e12) = e13 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1196,definition,
( sQ45_spl
<=> op1(e12,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1197,plain,
( ~ sQ45_spl
| op1(e12,e13) = e11 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,definition,
( sQ46_spl
<=> op1(e12,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1200,plain,
( ~ sQ46_spl
| op1(e12,e13) = e12 ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,definition,
( sQ47_spl
<=> op1(e12,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1203,plain,
( ~ sQ47_spl
| op1(e12,e13) = e13 ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1206,definition,
( sQ48_spl
<=> op1(e13,e10) = e10 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1207,plain,
( ~ sQ48_spl
| op1(e13,e10) = e10 ),
inference(component_clause,[status(thm)],[f1206]) ).
fof(f1209,definition,
( sQ49_spl
<=> op1(e13,e10) = e11 ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1210,plain,
( ~ sQ49_spl
| op1(e13,e10) = e11 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,definition,
( sQ50_spl
<=> op1(e13,e10) = e12 ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1215,definition,
( sQ51_spl
<=> op1(e13,e10) = e13 ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1216,plain,
( ~ sQ51_spl
| op1(e13,e10) = e13 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( sQ51_spl
| sQ50_spl
| sQ49_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f32,f1206,f1209,f1212,f1215]) ).
fof(f1219,definition,
( sQ52_spl
<=> op1(e13,e11) = e10 ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1220,plain,
( ~ sQ52_spl
| op1(e13,e11) = e10 ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,definition,
( sQ53_spl
<=> op1(e13,e11) = e11 ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1223,plain,
( ~ sQ53_spl
| op1(e13,e11) = e11 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1228,definition,
( sQ55_spl
<=> op1(e13,e11) = e13 ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( ~ sQ55_spl
| op1(e13,e11) = e13 ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1232,definition,
( sQ56_spl
<=> op1(e13,e12) = e10 ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
( ~ sQ56_spl
| op1(e13,e12) = e10 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,definition,
( sQ57_spl
<=> op1(e13,e12) = e11 ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f1236,plain,
( ~ sQ57_spl
| op1(e13,e12) = e11 ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,definition,
( sQ58_spl
<=> op1(e13,e12) = e12 ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1239,plain,
( ~ sQ58_spl
| op1(e13,e12) = e12 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,definition,
( sQ59_spl
<=> op1(e13,e12) = e13 ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1242,plain,
( ~ sQ59_spl
| op1(e13,e12) = e13 ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f34,f1232,f1235,f1238,f1241]) ).
fof(f1248,definition,
( sQ61_spl
<=> op1(e13,e13) = e11 ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f1249,plain,
( ~ sQ61_spl
| op1(e13,e13) = e11 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1251,definition,
( sQ62_spl
<=> op1(e13,e13) = e12 ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1252,plain,
( ~ sQ62_spl
| op1(e13,e13) = e12 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1254,definition,
( sQ63_spl
<=> op1(e13,e13) = e13 ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1255,plain,
( ~ sQ63_spl
| op1(e13,e13) = e13 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1258,plain,
( sQ12_spl
| sQ8_spl
| sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f1050,f1063,f1076,f1089]) ).
fof(f1259,plain,
( sQ48_spl
| sQ32_spl
| sQ16_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f1050,f1102,f1154,f1206]) ).
fof(f1267,plain,
( sQ52_spl
| sQ36_spl
| sQ20_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f45,f1063,f1115,f1167,f1219]) ).
fof(f1268,plain,
( sQ29_spl
| sQ25_spl
| sQ21_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f46,f1105,f1118,f1131,f1144]) ).
fof(f1269,plain,
( sQ53_spl
| sQ37_spl
| sQ21_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f47,f1066,f1118,f1170,f1222]) ).
fof(f1275,plain,
( sQ56_spl
| sQ40_spl
| sQ24_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f53,f1076,f1128,f1180,f1232]) ).
fof(f1278,plain,
( sQ46_spl
| sQ42_spl
| sQ38_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f56,f1160,f1173,f1186,f1199]) ).
fof(f1279,plain,
( sQ58_spl
| sQ42_spl
| sQ26_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f57,f1082,f1134,f1186,f1238]) ).
fof(f1281,plain,
( sQ59_spl
| sQ43_spl
| sQ27_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f59,f1085,f1137,f1189,f1241]) ).
fof(f1284,plain,
( sQ61_spl
| sQ57_spl
| sQ53_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f62,f1209,f1222,f1235,f1248]) ).
fof(f1288,plain,
( sQ63_spl
| sQ59_spl
| sQ55_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f66,f1215,f1228,f1241,f1254]) ).
fof(f1289,plain,
( sQ63_spl
| sQ47_spl
| sQ31_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f67,f1098,f1150,f1202,f1254]) ).
fof(f1290,definition,
( sQ64_spl
<=> op2(e20,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1291,plain,
( ~ sQ64_spl
| op2(e20,e20) = e20 ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1293,definition,
( sQ65_spl
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1294,plain,
( ~ sQ65_spl
| op2(e20,e20) = e21 ),
inference(component_clause,[status(thm)],[f1293]) ).
fof(f1296,definition,
( sQ66_spl
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1297,plain,
( ~ sQ66_spl
| op2(e20,e20) = e22 ),
inference(component_clause,[status(thm)],[f1296]) ).
fof(f1299,definition,
( sQ67_spl
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1302,plain,
( sQ67_spl
| sQ66_spl
| sQ65_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f68,f1290,f1293,f1296,f1299]) ).
fof(f1303,definition,
( sQ68_spl
<=> op2(e20,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1304,plain,
( ~ sQ68_spl
| op2(e20,e21) = e20 ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,definition,
( sQ69_spl
<=> op2(e20,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1307,plain,
( ~ sQ69_spl
| op2(e20,e21) = e21 ),
inference(component_clause,[status(thm)],[f1306]) ).
fof(f1309,definition,
( sQ70_spl
<=> op2(e20,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1312,definition,
( sQ71_spl
<=> op2(e20,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1313,plain,
( ~ sQ71_spl
| op2(e20,e21) = e23 ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,plain,
( sQ71_spl
| sQ70_spl
| sQ69_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f69,f1303,f1306,f1309,f1312]) ).
fof(f1316,definition,
( sQ72_spl
<=> op2(e20,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f1319,definition,
( sQ73_spl
<=> op2(e20,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f1320,plain,
( ~ sQ73_spl
| op2(e20,e22) = e21 ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1322,definition,
( sQ74_spl
<=> op2(e20,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f1323,plain,
( ~ sQ74_spl
| op2(e20,e22) = e22 ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1325,definition,
( sQ75_spl
<=> op2(e20,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f1326,plain,
( ~ sQ75_spl
| op2(e20,e22) = e23 ),
inference(component_clause,[status(thm)],[f1325]) ).
fof(f1328,plain,
( sQ75_spl
| sQ74_spl
| sQ73_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f70,f1316,f1319,f1322,f1325]) ).
fof(f1329,definition,
( sQ76_spl
<=> op2(e20,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( ~ sQ76_spl
| op2(e20,e23) = e20 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,definition,
( sQ77_spl
<=> op2(e20,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f1333,plain,
( ~ sQ77_spl
| op2(e20,e23) = e21 ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,definition,
( sQ78_spl
<=> op2(e20,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f1336,plain,
( ~ sQ78_spl
| op2(e20,e23) = e22 ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,definition,
( sQ79_spl
<=> op2(e20,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f1339,plain,
( ~ sQ79_spl
| op2(e20,e23) = e23 ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f71,f1329,f1332,f1335,f1338]) ).
fof(f1342,definition,
( sQ80_spl
<=> op2(e21,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1343,plain,
( ~ sQ80_spl
| op2(e21,e20) = e20 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,definition,
( sQ81_spl
<=> op2(e21,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
( ~ sQ81_spl
| op2(e21,e20) = e21 ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1348,definition,
( sQ82_spl
<=> op2(e21,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1349,plain,
( ~ sQ82_spl
| op2(e21,e20) = e22 ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1351,definition,
( sQ83_spl
<=> op2(e21,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( ~ sQ83_spl
| op2(e21,e20) = e23 ),
inference(component_clause,[status(thm)],[f1351]) ).
fof(f1355,definition,
( sQ84_spl
<=> op2(e21,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ84_spl
| op2(e21,e21) = e20 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,definition,
( sQ85_spl
<=> op2(e21,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f1359,plain,
( ~ sQ85_spl
| op2(e21,e21) = e21 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,definition,
( sQ86_spl
<=> op2(e21,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f1362,plain,
( ~ sQ86_spl
| op2(e21,e21) = e22 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,definition,
( sQ87_spl
<=> op2(e21,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f1367,plain,
( sQ87_spl
| sQ86_spl
| sQ85_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f73,f1355,f1358,f1361,f1364]) ).
fof(f1368,definition,
( sQ88_spl
<=> op2(e21,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f1371,definition,
( sQ89_spl
<=> op2(e21,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f1372,plain,
( ~ sQ89_spl
| op2(e21,e22) = e21 ),
inference(component_clause,[status(thm)],[f1371]) ).
fof(f1374,definition,
( sQ90_spl
<=> op2(e21,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f1375,plain,
( ~ sQ90_spl
| op2(e21,e22) = e22 ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1377,definition,
( sQ91_spl
<=> op2(e21,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1381,definition,
( sQ92_spl
<=> op2(e21,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1382,plain,
( ~ sQ92_spl
| op2(e21,e23) = e20 ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,definition,
( sQ93_spl
<=> op2(e21,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1385,plain,
( ~ sQ93_spl
| op2(e21,e23) = e21 ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,definition,
( sQ94_spl
<=> op2(e21,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1388,plain,
( ~ sQ94_spl
| op2(e21,e23) = e22 ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,definition,
( sQ95_spl
<=> op2(e21,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1391,plain,
( ~ sQ95_spl
| op2(e21,e23) = e23 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( sQ95_spl
| sQ94_spl
| sQ93_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f75,f1381,f1384,f1387,f1390]) ).
fof(f1394,definition,
( sQ96_spl
<=> op2(e22,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f1395,plain,
( ~ sQ96_spl
| op2(e22,e20) = e20 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1397,definition,
( sQ97_spl
<=> op2(e22,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f1400,definition,
( sQ98_spl
<=> op2(e22,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f1401,plain,
( ~ sQ98_spl
| op2(e22,e20) = e22 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,definition,
( sQ99_spl
<=> op2(e22,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1404,plain,
( ~ sQ99_spl
| op2(e22,e20) = e23 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1407,definition,
( sQ100_spl
<=> op2(e22,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1408,plain,
( ~ sQ100_spl
| op2(e22,e21) = e20 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1410,definition,
( sQ101_spl
<=> op2(e22,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1411,plain,
( ~ sQ101_spl
| op2(e22,e21) = e21 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1413,definition,
( sQ102_spl
<=> op2(e22,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1414,plain,
( ~ sQ102_spl
| op2(e22,e21) = e22 ),
inference(component_clause,[status(thm)],[f1413]) ).
fof(f1416,definition,
( sQ103_spl
<=> op2(e22,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( ~ sQ103_spl
| op2(e22,e21) = e23 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,plain,
( sQ103_spl
| sQ102_spl
| sQ101_spl
| sQ100_spl ),
inference(split_clause,[status(thm)],[f77,f1407,f1410,f1413,f1416]) ).
fof(f1420,definition,
( sQ104_spl
<=> op2(e22,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).
fof(f1421,plain,
( ~ sQ104_spl
| op2(e22,e22) = e20 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,definition,
( sQ105_spl
<=> op2(e22,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).
fof(f1424,plain,
( ~ sQ105_spl
| op2(e22,e22) = e21 ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,definition,
( sQ106_spl
<=> op2(e22,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f1427,plain,
( ~ sQ106_spl
| op2(e22,e22) = e22 ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1429,definition,
( sQ107_spl
<=> op2(e22,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1430,plain,
( ~ sQ107_spl
| op2(e22,e22) = e23 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( sQ107_spl
| sQ106_spl
| sQ105_spl
| sQ104_spl ),
inference(split_clause,[status(thm)],[f78,f1420,f1423,f1426,f1429]) ).
fof(f1433,definition,
( sQ108_spl
<=> op2(e22,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1434,plain,
( ~ sQ108_spl
| op2(e22,e23) = e20 ),
inference(component_clause,[status(thm)],[f1433]) ).
fof(f1436,definition,
( sQ109_spl
<=> op2(e22,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1437,plain,
( ~ sQ109_spl
| op2(e22,e23) = e21 ),
inference(component_clause,[status(thm)],[f1436]) ).
fof(f1439,definition,
( sQ110_spl
<=> op2(e22,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1440,plain,
( ~ sQ110_spl
| op2(e22,e23) = e22 ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1442,definition,
( sQ111_spl
<=> op2(e22,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).
fof(f1443,plain,
( ~ sQ111_spl
| op2(e22,e23) = e23 ),
inference(component_clause,[status(thm)],[f1442]) ).
fof(f1446,definition,
( sQ112_spl
<=> op2(e23,e20) = e20 ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ112_spl
| op2(e23,e20) = e20 ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,definition,
( sQ113_spl
<=> op2(e23,e20) = e21 ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1450,plain,
( ~ sQ113_spl
| op2(e23,e20) = e21 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,definition,
( sQ114_spl
<=> op2(e23,e20) = e22 ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1453,plain,
( ~ sQ114_spl
| op2(e23,e20) = e22 ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1454,plain,
( sQ114_spl
| op2(e23,e20) != e22 ),
inference(component_clause,[status(thm)],[f1452]) ).
fof(f1455,definition,
( sQ115_spl
<=> op2(e23,e20) = e23 ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f1456,plain,
( ~ sQ115_spl
| op2(e23,e20) = e23 ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1459,definition,
( sQ116_spl
<=> op2(e23,e21) = e20 ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1460,plain,
( ~ sQ116_spl
| op2(e23,e21) = e20 ),
inference(component_clause,[status(thm)],[f1459]) ).
fof(f1462,definition,
( sQ117_spl
<=> op2(e23,e21) = e21 ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1463,plain,
( ~ sQ117_spl
| op2(e23,e21) = e21 ),
inference(component_clause,[status(thm)],[f1462]) ).
fof(f1465,definition,
( sQ118_spl
<=> op2(e23,e21) = e22 ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1466,plain,
( ~ sQ118_spl
| op2(e23,e21) = e22 ),
inference(component_clause,[status(thm)],[f1465]) ).
fof(f1468,definition,
( sQ119_spl
<=> op2(e23,e21) = e23 ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( ~ sQ119_spl
| op2(e23,e21) = e23 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1472,definition,
( sQ120_spl
<=> op2(e23,e22) = e20 ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f1473,plain,
( ~ sQ120_spl
| op2(e23,e22) = e20 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,definition,
( sQ121_spl
<=> op2(e23,e22) = e21 ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f1476,plain,
( ~ sQ121_spl
| op2(e23,e22) = e21 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,definition,
( sQ122_spl
<=> op2(e23,e22) = e22 ),
introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).
fof(f1479,plain,
( ~ sQ122_spl
| op2(e23,e22) = e22 ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,definition,
( sQ123_spl
<=> op2(e23,e22) = e23 ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f1482,plain,
( ~ sQ123_spl
| op2(e23,e22) = e23 ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,plain,
( sQ123_spl
| sQ122_spl
| sQ121_spl
| sQ120_spl ),
inference(split_clause,[status(thm)],[f82,f1472,f1475,f1478,f1481]) ).
fof(f1485,definition,
( sQ124_spl
<=> op2(e23,e23) = e20 ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f1486,plain,
( ~ sQ124_spl
| op2(e23,e23) = e20 ),
inference(component_clause,[status(thm)],[f1485]) ).
fof(f1488,definition,
( sQ125_spl
<=> op2(e23,e23) = e21 ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f1489,plain,
( ~ sQ125_spl
| op2(e23,e23) = e21 ),
inference(component_clause,[status(thm)],[f1488]) ).
fof(f1491,definition,
( sQ126_spl
<=> op2(e23,e23) = e22 ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f1492,plain,
( ~ sQ126_spl
| op2(e23,e23) = e22 ),
inference(component_clause,[status(thm)],[f1491]) ).
fof(f1494,definition,
( sQ127_spl
<=> op2(e23,e23) = e23 ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f1495,plain,
( ~ sQ127_spl
| op2(e23,e23) = e23 ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1497,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f83,f1485,f1488,f1491,f1494]) ).
fof(f1498,plain,
( sQ76_spl
| sQ72_spl
| sQ68_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f84,f1290,f1303,f1316,f1329]) ).
fof(f1499,plain,
( sQ112_spl
| sQ96_spl
| sQ80_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f85,f1290,f1342,f1394,f1446]) ).
fof(f1500,plain,
( sQ77_spl
| sQ73_spl
| sQ69_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f86,f1293,f1306,f1319,f1332]) ).
fof(f1501,plain,
( sQ113_spl
| sQ97_spl
| sQ81_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f87,f1293,f1345,f1397,f1449]) ).
fof(f1502,plain,
( sQ78_spl
| sQ74_spl
| sQ70_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f88,f1296,f1309,f1322,f1335]) ).
fof(f1508,plain,
( sQ93_spl
| sQ89_spl
| sQ85_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f94,f1345,f1358,f1371,f1384]) ).
fof(f1509,plain,
( sQ117_spl
| sQ101_spl
| sQ85_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f95,f1306,f1358,f1410,f1462]) ).
fof(f1510,plain,
( sQ94_spl
| sQ90_spl
| sQ86_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f96,f1348,f1361,f1374,f1387]) ).
fof(f1511,plain,
( sQ118_spl
| sQ102_spl
| sQ86_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f97,f1309,f1361,f1413,f1465]) ).
fof(f1512,plain,
( sQ95_spl
| sQ91_spl
| sQ87_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f98,f1351,f1364,f1377,f1390]) ).
fof(f1514,plain,
( sQ108_spl
| sQ104_spl
| sQ100_spl
| sQ96_spl ),
inference(split_clause,[status(thm)],[f100,f1394,f1407,f1420,f1433]) ).
fof(f1518,plain,
( sQ110_spl
| sQ106_spl
| sQ102_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f104,f1400,f1413,f1426,f1439]) ).
fof(f1519,plain,
( sQ122_spl
| sQ106_spl
| sQ90_spl
| sQ74_spl ),
inference(split_clause,[status(thm)],[f105,f1322,f1374,f1426,f1478]) ).
fof(f1520,plain,
( sQ111_spl
| sQ107_spl
| sQ103_spl
| sQ99_spl ),
inference(split_clause,[status(thm)],[f106,f1403,f1416,f1429,f1442]) ).
fof(f1522,plain,
( sQ124_spl
| sQ120_spl
| sQ116_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f108,f1446,f1459,f1472,f1485]) ).
fof(f1525,plain,
( sQ125_spl
| sQ109_spl
| sQ93_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f111,f1332,f1384,f1436,f1488]) ).
fof(f1528,plain,
( sQ127_spl
| sQ123_spl
| sQ119_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f114,f1455,f1468,f1481,f1494]) ).
fof(f1529,plain,
( sQ127_spl
| sQ111_spl
| sQ95_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f115,f1338,f1390,f1442,f1494]) ).
fof(f1530,definition,
( sQ128_spl
<=> sP0_prd ),
introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).
fof(f1539,plain,
( sQ30_spl
| ~ sQ27_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f252,f1530,f1137,f1147]) ).
fof(f1543,plain,
( sQ46_spl
| ~ sQ43_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f256,f1530,f1189,f1199]) ).
fof(f1547,plain,
( sQ62_spl
| ~ sQ59_spl
| sQ128_spl ),
inference(split_clause,[status(thm)],[f260,f1530,f1241,f1251]) ).
fof(f1549,definition,
( sQ129_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).
fof(f1552,plain,
( sQ76_spl
| ~ sQ67_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f268,f1549,f1299,f1329]) ).
fof(f1557,plain,
( sQ93_spl
| ~ sQ87_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f273,f1549,f1364,f1384]) ).
fof(f1558,plain,
( sQ94_spl
| ~ sQ91_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f274,f1549,f1377,f1387]) ).
fof(f1561,plain,
( sQ109_spl
| ~ sQ103_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f277,f1549,f1416,f1436]) ).
fof(f1568,definition,
( sQ130_spl
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1570,plain,
( sQ130_spl
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ),
inference(component_clause,[status(thm)],[f1568]) ).
fof(f1571,definition,
( sQ131_spl
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).
fof(f1573,plain,
( sQ131_spl
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(component_clause,[status(thm)],[f1571]) ).
fof(f1574,definition,
( sQ132_spl
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).
fof(f1576,plain,
( sQ132_spl
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1577,definition,
( sQ133_spl
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1579,plain,
( sQ133_spl
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(component_clause,[status(thm)],[f1577]) ).
fof(f1580,definition,
( sQ134_spl
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1582,plain,
( sQ134_spl
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(component_clause,[status(thm)],[f1580]) ).
fof(f1583,definition,
( sQ135_spl
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1585,plain,
( sQ135_spl
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11)) ),
inference(component_clause,[status(thm)],[f1583]) ).
fof(f1586,definition,
( sQ136_spl
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1588,plain,
( sQ136_spl
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1589,definition,
( sQ137_spl
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( sQ137_spl
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13)) ),
inference(component_clause,[status(thm)],[f1589]) ).
fof(f1592,definition,
( sQ138_spl
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).
fof(f1594,plain,
( sQ138_spl
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(component_clause,[status(thm)],[f1592]) ).
fof(f1595,definition,
( sQ139_spl
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1597,plain,
( sQ139_spl
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(component_clause,[status(thm)],[f1595]) ).
fof(f1598,definition,
( sQ140_spl
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1600,plain,
( sQ140_spl
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) ),
inference(component_clause,[status(thm)],[f1598]) ).
fof(f1601,definition,
( sQ141_spl
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1603,plain,
( sQ141_spl
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13)) ),
inference(component_clause,[status(thm)],[f1601]) ).
fof(f1604,definition,
( sQ142_spl
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1606,plain,
( sQ142_spl
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10)) ),
inference(component_clause,[status(thm)],[f1604]) ).
fof(f1607,definition,
( sQ143_spl
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition]) ).
fof(f1609,plain,
( sQ143_spl
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ),
inference(component_clause,[status(thm)],[f1607]) ).
fof(f1610,definition,
( sQ144_spl
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[sQ144_spl])],[split_symbol_definition]) ).
fof(f1612,plain,
( sQ144_spl
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12)) ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,definition,
( sQ145_spl
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1615,plain,
( sQ145_spl
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13)) ),
inference(component_clause,[status(thm)],[f1613]) ).
fof(f1616,definition,
( sQ146_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1619,definition,
( sQ147_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1622,definition,
( sQ148_spl
<=> sP4_prd ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1637,definition,
( sQ152_spl
<=> h1(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1639,plain,
( sQ152_spl
| h1(e13) != e23 ),
inference(component_clause,[status(thm)],[f1637]) ).
fof(f1640,plain,
( ~ sQ152_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
| ~ sQ131_spl
| ~ sQ130_spl ),
inference(split_clause,[status(thm)],[f323,f1568,f1571,f1574,f1577,f1580,f1583,f1586,f1589,f1592,f1595,f1598,f1601,f1604,f1607,f1610,f1613,f1616,f1619,f1622,f1637]) ).
fof(f1641,definition,
( sQ153_spl
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f1643,plain,
( sQ153_spl
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(component_clause,[status(thm)],[f1641]) ).
fof(f1665,definition,
( sQ161_spl
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( sQ161_spl
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10)) ),
inference(component_clause,[status(thm)],[f1665]) ).
fof(f1677,definition,
( sQ165_spl
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f1679,plain,
( sQ165_spl
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ),
inference(component_clause,[status(thm)],[f1677]) ).
fof(f1689,definition,
( sQ169_spl
<=> sP5_prd ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f1692,definition,
( sQ170_spl
<=> sP6_prd ),
introduced(definition,[new_symbols(definition,[sQ170_spl])],[split_symbol_definition]) ).
fof(f1695,definition,
( sQ171_spl
<=> sP7_prd ),
introduced(definition,[new_symbols(definition,[sQ171_spl])],[split_symbol_definition]) ).
fof(f1714,definition,
( sQ176_spl
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition]) ).
fof(f1716,plain,
( sQ176_spl
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(component_clause,[status(thm)],[f1714]) ).
fof(f1738,definition,
( sQ184_spl
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1740,plain,
( sQ184_spl
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1750,definition,
( sQ188_spl
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(definition,[new_symbols(definition,[sQ188_spl])],[split_symbol_definition]) ).
fof(f1752,plain,
( sQ188_spl
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(component_clause,[status(thm)],[f1750]) ).
fof(f1762,definition,
( sQ192_spl
<=> sP8_prd ),
introduced(definition,[new_symbols(definition,[sQ192_spl])],[split_symbol_definition]) ).
fof(f1765,definition,
( sQ193_spl
<=> sP9_prd ),
introduced(definition,[new_symbols(definition,[sQ193_spl])],[split_symbol_definition]) ).
fof(f1768,definition,
( sQ194_spl
<=> sP10_prd ),
introduced(definition,[new_symbols(definition,[sQ194_spl])],[split_symbol_definition]) ).
fof(f1783,definition,
( sQ198_spl
<=> h3(e13) = e23 ),
introduced(definition,[new_symbols(definition,[sQ198_spl])],[split_symbol_definition]) ).
fof(f1785,plain,
( sQ198_spl
| h3(e13) != e23 ),
inference(component_clause,[status(thm)],[f1783]) ).
fof(f1787,definition,
( sQ199_spl
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ199_spl])],[split_symbol_definition]) ).
fof(f1788,plain,
( ~ sQ199_spl
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1787]) ).
fof(f1789,plain,
( sQ199_spl
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(component_clause,[status(thm)],[f1787]) ).
fof(f1799,definition,
( sQ203_spl
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f1801,plain,
( sQ203_spl
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(component_clause,[status(thm)],[f1799]) ).
fof(f1811,definition,
( sQ207_spl
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ207_spl])],[split_symbol_definition]) ).
fof(f1813,plain,
( sQ207_spl
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10)) ),
inference(component_clause,[status(thm)],[f1811]) ).
fof(f1823,definition,
( sQ211_spl
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(definition,[new_symbols(definition,[sQ211_spl])],[split_symbol_definition]) ).
fof(f1825,plain,
( sQ211_spl
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10)) ),
inference(component_clause,[status(thm)],[f1823]) ).
fof(f1835,definition,
( sQ215_spl
<=> sP11_prd ),
introduced(definition,[new_symbols(definition,[sQ215_spl])],[split_symbol_definition]) ).
fof(f1838,definition,
( sQ216_spl
<=> sP12_prd ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f1841,definition,
( sQ217_spl
<=> sP13_prd ),
introduced(definition,[new_symbols(definition,[sQ217_spl])],[split_symbol_definition]) ).
fof(f1844,definition,
( sQ218_spl
<=> h4(e10) = e23 ),
introduced(definition,[new_symbols(definition,[sQ218_spl])],[split_symbol_definition]) ).
fof(f1845,plain,
( ~ sQ218_spl
| h4(e10) = e23 ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1846,plain,
( sQ218_spl
| h4(e10) != e23 ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1860,definition,
( sQ222_spl
<=> sP14_prd ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1863,definition,
( sQ223_spl
<=> sP15_prd ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
( sQ223_spl
| sQ222_spl
| ~ sQ128_spl ),
inference(split_clause,[status(thm)],[f341,f1530,f1860,f1863]) ).
fof(f1871,definition,
( sQ224_spl
<=> sP16_prd ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1874,definition,
( sQ225_spl
<=> sP17_prd ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1877,plain,
( sQ225_spl
| sQ224_spl
| ~ sQ129_spl ),
inference(split_clause,[status(thm)],[f351,f1549,f1871,f1874]) ).
fof(f1880,plain,
( sQ126_spl
| ~ sQ225_spl
| sQ129_spl ),
inference(split_clause,[status(thm)],[f354,f1549,f1874,f1491]) ).
fof(f1882,definition,
( sQ226_spl
<=> h1(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1884,plain,
( sQ226_spl
| h1(e10) != e20 ),
inference(component_clause,[status(thm)],[f1882]) ).
fof(f1885,plain,
( ~ sQ226_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f357,f1616,f1882]) ).
fof(f1890,definition,
( sQ228_spl
<=> h1(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1891,plain,
( ~ sQ228_spl
| h1(e12) = e20 ),
inference(component_clause,[status(thm)],[f1890]) ).
fof(f1894,definition,
( sQ229_spl
<=> h1(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ229_spl])],[split_symbol_definition]) ).
fof(f1895,plain,
( ~ sQ229_spl
| h1(e13) = e20 ),
inference(component_clause,[status(thm)],[f1894]) ).
fof(f1899,definition,
( sQ230_spl
<=> h1(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ230_spl])],[split_symbol_definition]) ).
fof(f1900,plain,
( ~ sQ230_spl
| h1(e10) = e21 ),
inference(component_clause,[status(thm)],[f1899]) ).
fof(f1903,definition,
( sQ231_spl
<=> h1(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f1904,plain,
( ~ sQ231_spl
| h1(e11) = e21 ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1905,plain,
( sQ231_spl
| h1(e11) != e21 ),
inference(component_clause,[status(thm)],[f1903]) ).
fof(f1906,plain,
( ~ sQ231_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f364,f1619,f1903]) ).
fof(f1907,definition,
( sQ232_spl
<=> h1(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ232_spl])],[split_symbol_definition]) ).
fof(f1908,plain,
( ~ sQ232_spl
| h1(e12) = e21 ),
inference(component_clause,[status(thm)],[f1907]) ).
fof(f1916,definition,
( sQ234_spl
<=> h1(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ234_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
( ~ sQ234_spl
| h1(e10) = e22 ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1920,definition,
( sQ235_spl
<=> h1(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ235_spl])],[split_symbol_definition]) ).
fof(f1921,plain,
( ~ sQ235_spl
| h1(e11) = e22 ),
inference(component_clause,[status(thm)],[f1920]) ).
fof(f1924,definition,
( sQ236_spl
<=> h1(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ236_spl])],[split_symbol_definition]) ).
fof(f1925,plain,
( ~ sQ236_spl
| h1(e12) = e22 ),
inference(component_clause,[status(thm)],[f1924]) ).
fof(f1926,plain,
( sQ236_spl
| h1(e12) != e22 ),
inference(component_clause,[status(thm)],[f1924]) ).
fof(f1927,plain,
( ~ sQ236_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f371,f1622,f1924]) ).
fof(f1933,definition,
( sQ238_spl
<=> h2(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ238_spl])],[split_symbol_definition]) ).
fof(f1934,plain,
( ~ sQ238_spl
| h2(e10) = e20 ),
inference(component_clause,[status(thm)],[f1933]) ).
fof(f1937,definition,
( sQ239_spl
<=> h2(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ239_spl])],[split_symbol_definition]) ).
fof(f1938,plain,
( ~ sQ239_spl
| h2(e11) = e20 ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1941,definition,
( sQ240_spl
<=> h2(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ240_spl])],[split_symbol_definition]) ).
fof(f1942,plain,
( ~ sQ240_spl
| h2(e12) = e20 ),
inference(component_clause,[status(thm)],[f1941]) ).
fof(f1943,plain,
( sQ240_spl
| h2(e12) != e20 ),
inference(component_clause,[status(thm)],[f1941]) ).
fof(f1944,plain,
( ~ sQ240_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f377,f1689,f1941]) ).
fof(f1945,definition,
( sQ241_spl
<=> h2(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1946,plain,
( ~ sQ241_spl
| h2(e13) = e20 ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1947,plain,
( sQ241_spl
| h2(e13) != e20 ),
inference(component_clause,[status(thm)],[f1945]) ).
fof(f1948,plain,
( ~ sQ241_spl
| ~ sQ169_spl ),
inference(split_clause,[status(thm)],[f378,f1689,f1945]) ).
fof(f1950,definition,
( sQ242_spl
<=> h2(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1952,plain,
( sQ242_spl
| h2(e10) != e21 ),
inference(component_clause,[status(thm)],[f1950]) ).
fof(f1953,plain,
( ~ sQ242_spl
| ~ sQ170_spl ),
inference(split_clause,[status(thm)],[f381,f1692,f1950]) ).
fof(f1954,definition,
( sQ243_spl
<=> h2(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ243_spl])],[split_symbol_definition]) ).
fof(f1955,plain,
( ~ sQ243_spl
| h2(e11) = e21 ),
inference(component_clause,[status(thm)],[f1954]) ).
fof(f1956,plain,
( sQ243_spl
| h2(e11) != e21 ),
inference(component_clause,[status(thm)],[f1954]) ).
fof(f1962,definition,
( sQ245_spl
<=> h2(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f1963,plain,
( ~ sQ245_spl
| h2(e13) = e21 ),
inference(component_clause,[status(thm)],[f1962]) ).
fof(f1967,definition,
( sQ246_spl
<=> h2(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f1968,plain,
( ~ sQ246_spl
| h2(e10) = e22 ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1971,definition,
( sQ247_spl
<=> h2(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ247_spl])],[split_symbol_definition]) ).
fof(f1972,plain,
( ~ sQ247_spl
| h2(e11) = e22 ),
inference(component_clause,[status(thm)],[f1971]) ).
fof(f1975,definition,
( sQ248_spl
<=> h2(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ248_spl])],[split_symbol_definition]) ).
fof(f1976,plain,
( ~ sQ248_spl
| h2(e12) = e22 ),
inference(component_clause,[status(thm)],[f1975]) ).
fof(f1979,definition,
( sQ249_spl
<=> h2(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ249_spl])],[split_symbol_definition]) ).
fof(f1980,plain,
( ~ sQ249_spl
| h2(e13) = e22 ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1981,plain,
( sQ249_spl
| h2(e13) != e22 ),
inference(component_clause,[status(thm)],[f1979]) ).
fof(f1982,plain,
( ~ sQ249_spl
| ~ sQ171_spl ),
inference(split_clause,[status(thm)],[f390,f1695,f1979]) ).
fof(f1984,definition,
( sQ250_spl
<=> h3(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ250_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( ~ sQ250_spl
| h3(e10) = e20 ),
inference(component_clause,[status(thm)],[f1984]) ).
fof(f1988,definition,
( sQ251_spl
<=> h3(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ251_spl])],[split_symbol_definition]) ).
fof(f1989,plain,
( ~ sQ251_spl
| h3(e11) = e20 ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f1992,definition,
( sQ252_spl
<=> h3(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ252_spl])],[split_symbol_definition]) ).
fof(f1993,plain,
( ~ sQ252_spl
| h3(e12) = e20 ),
inference(component_clause,[status(thm)],[f1992]) ).
fof(f1994,plain,
( sQ252_spl
| h3(e12) != e20 ),
inference(component_clause,[status(thm)],[f1992]) ).
fof(f1995,plain,
( ~ sQ252_spl
| ~ sQ192_spl ),
inference(split_clause,[status(thm)],[f395,f1762,f1992]) ).
fof(f2001,definition,
( sQ254_spl
<=> h3(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ254_spl])],[split_symbol_definition]) ).
fof(f2002,plain,
( ~ sQ254_spl
| h3(e10) = e21 ),
inference(component_clause,[status(thm)],[f2001]) ).
fof(f2005,definition,
( sQ255_spl
<=> h3(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ255_spl])],[split_symbol_definition]) ).
fof(f2006,plain,
( ~ sQ255_spl
| h3(e11) = e21 ),
inference(component_clause,[status(thm)],[f2005]) ).
fof(f2008,plain,
( ~ sQ255_spl
| ~ sQ193_spl ),
inference(split_clause,[status(thm)],[f400,f1765,f2005]) ).
fof(f2009,definition,
( sQ256_spl
<=> h3(e12) = e21 ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2010,plain,
( ~ sQ256_spl
| h3(e12) = e21 ),
inference(component_clause,[status(thm)],[f2009]) ).
fof(f2013,definition,
( sQ257_spl
<=> h3(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ257_spl])],[split_symbol_definition]) ).
fof(f2014,plain,
( ~ sQ257_spl
| h3(e13) = e21 ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2015,plain,
( sQ257_spl
| h3(e13) != e21 ),
inference(component_clause,[status(thm)],[f2013]) ).
fof(f2017,plain,
( sQ257_spl
| sQ256_spl
| sQ255_spl
| sQ254_spl
| sQ193_spl ),
inference(split_clause,[status(thm)],[f403,f1765,f2001,f2005,f2009,f2013]) ).
fof(f2018,definition,
( sQ258_spl
<=> h3(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ258_spl])],[split_symbol_definition]) ).
fof(f2020,plain,
( sQ258_spl
| h3(e10) != e22 ),
inference(component_clause,[status(thm)],[f2018]) ).
fof(f2021,plain,
( ~ sQ258_spl
| ~ sQ194_spl ),
inference(split_clause,[status(thm)],[f405,f1768,f2018]) ).
fof(f2022,definition,
( sQ259_spl
<=> h3(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ259_spl])],[split_symbol_definition]) ).
fof(f2023,plain,
( ~ sQ259_spl
| h3(e11) = e22 ),
inference(component_clause,[status(thm)],[f2022]) ).
fof(f2026,definition,
( sQ260_spl
<=> h3(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ260_spl])],[split_symbol_definition]) ).
fof(f2027,plain,
( ~ sQ260_spl
| h3(e12) = e22 ),
inference(component_clause,[status(thm)],[f2026]) ).
fof(f2030,definition,
( sQ261_spl
<=> h3(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ261_spl])],[split_symbol_definition]) ).
fof(f2031,plain,
( ~ sQ261_spl
| h3(e13) = e22 ),
inference(component_clause,[status(thm)],[f2030]) ).
fof(f2035,definition,
( sQ262_spl
<=> h4(e10) = e20 ),
introduced(definition,[new_symbols(definition,[sQ262_spl])],[split_symbol_definition]) ).
fof(f2036,plain,
( ~ sQ262_spl
| h4(e10) = e20 ),
inference(component_clause,[status(thm)],[f2035]) ).
fof(f2039,definition,
( sQ263_spl
<=> h4(e11) = e20 ),
introduced(definition,[new_symbols(definition,[sQ263_spl])],[split_symbol_definition]) ).
fof(f2040,plain,
( ~ sQ263_spl
| h4(e11) = e20 ),
inference(component_clause,[status(thm)],[f2039]) ).
fof(f2043,definition,
( sQ264_spl
<=> h4(e12) = e20 ),
introduced(definition,[new_symbols(definition,[sQ264_spl])],[split_symbol_definition]) ).
fof(f2047,definition,
( sQ265_spl
<=> h4(e13) = e20 ),
introduced(definition,[new_symbols(definition,[sQ265_spl])],[split_symbol_definition]) ).
fof(f2049,plain,
( sQ265_spl
| h4(e13) != e20 ),
inference(component_clause,[status(thm)],[f2047]) ).
fof(f2051,plain,
( sQ265_spl
| sQ264_spl
| sQ263_spl
| sQ262_spl
| sQ215_spl ),
inference(split_clause,[status(thm)],[f415,f1835,f2035,f2039,f2043,f2047]) ).
fof(f2052,definition,
( sQ266_spl
<=> h4(e10) = e21 ),
introduced(definition,[new_symbols(definition,[sQ266_spl])],[split_symbol_definition]) ).
fof(f2053,plain,
( ~ sQ266_spl
| h4(e10) = e21 ),
inference(component_clause,[status(thm)],[f2052]) ).
fof(f2056,definition,
( sQ267_spl
<=> h4(e11) = e21 ),
introduced(definition,[new_symbols(definition,[sQ267_spl])],[split_symbol_definition]) ).
fof(f2057,plain,
( ~ sQ267_spl
| h4(e11) = e21 ),
inference(component_clause,[status(thm)],[f2056]) ).
fof(f2064,definition,
( sQ269_spl
<=> h4(e13) = e21 ),
introduced(definition,[new_symbols(definition,[sQ269_spl])],[split_symbol_definition]) ).
fof(f2065,plain,
( ~ sQ269_spl
| h4(e13) = e21 ),
inference(component_clause,[status(thm)],[f2064]) ).
fof(f2066,plain,
( sQ269_spl
| h4(e13) != e21 ),
inference(component_clause,[status(thm)],[f2064]) ).
fof(f2067,plain,
( ~ sQ269_spl
| ~ sQ216_spl ),
inference(split_clause,[status(thm)],[f420,f1838,f2064]) ).
fof(f2069,definition,
( sQ270_spl
<=> h4(e10) = e22 ),
introduced(definition,[new_symbols(definition,[sQ270_spl])],[split_symbol_definition]) ).
fof(f2070,plain,
( ~ sQ270_spl
| h4(e10) = e22 ),
inference(component_clause,[status(thm)],[f2069]) ).
fof(f2073,definition,
( sQ271_spl
<=> h4(e11) = e22 ),
introduced(definition,[new_symbols(definition,[sQ271_spl])],[split_symbol_definition]) ).
fof(f2074,plain,
( ~ sQ271_spl
| h4(e11) = e22 ),
inference(component_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( sQ271_spl
| h4(e11) != e22 ),
inference(component_clause,[status(thm)],[f2073]) ).
fof(f2077,definition,
( sQ272_spl
<=> h4(e12) = e22 ),
introduced(definition,[new_symbols(definition,[sQ272_spl])],[split_symbol_definition]) ).
fof(f2078,plain,
( ~ sQ272_spl
| h4(e12) = e22 ),
inference(component_clause,[status(thm)],[f2077]) ).
fof(f2081,definition,
( sQ273_spl
<=> h4(e13) = e22 ),
introduced(definition,[new_symbols(definition,[sQ273_spl])],[split_symbol_definition]) ).
fof(f2082,plain,
( ~ sQ273_spl
| h4(e13) = e22 ),
inference(component_clause,[status(thm)],[f2081]) ).
fof(f2085,plain,
( sQ273_spl
| sQ272_spl
| sQ271_spl
| sQ270_spl
| sQ217_spl ),
inference(split_clause,[status(thm)],[f427,f1841,f2069,f2073,f2077,f2081]) ).
fof(f2086,definition,
( sQ274_spl
<=> sP18_prd ),
introduced(definition,[new_symbols(definition,[sQ274_spl])],[split_symbol_definition]) ).
fof(f2089,definition,
( sQ275_spl
<=> sP19_prd ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f2092,plain,
( sQ275_spl
| sQ274_spl
| ~ sQ222_spl ),
inference(split_clause,[status(thm)],[f433,f1860,f2086,f2089]) ).
fof(f2097,definition,
( sQ276_spl
<=> sP20_prd ),
introduced(definition,[new_symbols(definition,[sQ276_spl])],[split_symbol_definition]) ).
fof(f2100,plain,
( sQ276_spl
| ~ sQ223_spl ),
inference(split_clause,[status(thm)],[f441,f1863,f2097]) ).
fof(f2104,definition,
( sQ277_spl
<=> sP21_prd ),
introduced(definition,[new_symbols(definition,[sQ277_spl])],[split_symbol_definition]) ).
fof(f2107,definition,
( sQ278_spl
<=> sP22_prd ),
introduced(definition,[new_symbols(definition,[sQ278_spl])],[split_symbol_definition]) ).
fof(f2110,plain,
( sQ278_spl
| sQ277_spl
| ~ sQ224_spl ),
inference(split_clause,[status(thm)],[f450,f1871,f2104,f2107]) ).
fof(f2112,plain,
( ~ sQ277_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f452,f1871,f2104]) ).
fof(f2115,definition,
( sQ279_spl
<=> sP23_prd ),
introduced(definition,[new_symbols(definition,[sQ279_spl])],[split_symbol_definition]) ).
fof(f2118,plain,
( sQ279_spl
| ~ sQ225_spl ),
inference(split_clause,[status(thm)],[f458,f1874,f2115]) ).
fof(f2120,plain,
( sQ122_spl
| ~ sQ279_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f460,f1874,f2115,f1478]) ).
fof(f2122,definition,
( sQ280_spl
<=> sP24_prd ),
introduced(definition,[new_symbols(definition,[sQ280_spl])],[split_symbol_definition]) ).
fof(f2125,plain,
( sQ280_spl
| ~ sQ274_spl ),
inference(split_clause,[status(thm)],[f465,f2086,f2122]) ).
fof(f2129,definition,
( sQ281_spl
<=> sP25_prd ),
introduced(definition,[new_symbols(definition,[sQ281_spl])],[split_symbol_definition]) ).
fof(f2132,plain,
( sQ281_spl
| ~ sQ275_spl ),
inference(split_clause,[status(thm)],[f472,f2089,f2129]) ).
fof(f2136,definition,
( sQ282_spl
<=> sP26_prd ),
introduced(definition,[new_symbols(definition,[sQ282_spl])],[split_symbol_definition]) ).
fof(f2139,plain,
( sQ282_spl
| ~ sQ276_spl ),
inference(split_clause,[status(thm)],[f479,f2097,f2136]) ).
fof(f2143,definition,
( sQ283_spl
<=> sP27_prd ),
introduced(definition,[new_symbols(definition,[sQ283_spl])],[split_symbol_definition]) ).
fof(f2146,plain,
( sQ283_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f486,f2104,f2143]) ).
fof(f2147,plain,
( sQ115_spl
| ~ sQ124_spl
| ~ sQ277_spl ),
inference(split_clause,[status(thm)],[f487,f2104,f1485,f1455]) ).
fof(f2148,plain,
( sQ124_spl
| ~ sQ283_spl
| sQ277_spl ),
inference(split_clause,[status(thm)],[f488,f2104,f2143,f1485]) ).
fof(f2150,definition,
( sQ284_spl
<=> sP28_prd ),
introduced(definition,[new_symbols(definition,[sQ284_spl])],[split_symbol_definition]) ).
fof(f2153,plain,
( sQ284_spl
| ~ sQ278_spl ),
inference(split_clause,[status(thm)],[f493,f2107,f2150]) ).
fof(f2155,plain,
( sQ121_spl
| ~ sQ284_spl
| sQ278_spl ),
inference(split_clause,[status(thm)],[f495,f2107,f2150,f1475]) ).
fof(f2157,definition,
( sQ285_spl
<=> sP29_prd ),
introduced(definition,[new_symbols(definition,[sQ285_spl])],[split_symbol_definition]) ).
fof(f2160,plain,
( sQ285_spl
| ~ sQ279_spl ),
inference(split_clause,[status(thm)],[f500,f2115,f2157]) ).
fof(f2162,plain,
( sQ118_spl
| ~ sQ285_spl
| sQ279_spl ),
inference(split_clause,[status(thm)],[f502,f2115,f2157,f1465]) ).
fof(f2164,definition,
( sQ286_spl
<=> sP30_prd ),
introduced(definition,[new_symbols(definition,[sQ286_spl])],[split_symbol_definition]) ).
fof(f2167,plain,
( sQ286_spl
| ~ sQ280_spl ),
inference(split_clause,[status(thm)],[f507,f2122,f2164]) ).
fof(f2171,definition,
( sQ287_spl
<=> sP31_prd ),
introduced(definition,[new_symbols(definition,[sQ287_spl])],[split_symbol_definition]) ).
fof(f2174,plain,
( sQ287_spl
| ~ sQ281_spl ),
inference(split_clause,[status(thm)],[f514,f2129,f2171]) ).
fof(f2182,plain,
( sQ56_spl
| ~ sQ50_spl
| ~ sQ282_spl ),
inference(split_clause,[status(thm)],[f522,f2136,f1212,f1232]) ).
fof(f2185,definition,
( sQ289_spl
<=> sP33_prd ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2188,plain,
( sQ289_spl
| ~ sQ283_spl ),
inference(split_clause,[status(thm)],[f528,f2143,f2185]) ).
fof(f2191,plain,
( ~ sQ114_spl
| ~ sQ289_spl
| sQ283_spl ),
inference(split_clause,[status(thm)],[f531,f2143,f2185,f1452]) ).
fof(f2192,definition,
( sQ290_spl
<=> sP34_prd ),
introduced(definition,[new_symbols(definition,[sQ290_spl])],[split_symbol_definition]) ).
fof(f2195,plain,
( sQ290_spl
| ~ sQ284_spl ),
inference(split_clause,[status(thm)],[f535,f2150,f2192]) ).
fof(f2197,plain,
( sQ117_spl
| ~ sQ290_spl
| sQ284_spl ),
inference(split_clause,[status(thm)],[f537,f2150,f2192,f1462]) ).
fof(f2199,definition,
( sQ291_spl
<=> sP35_prd ),
introduced(definition,[new_symbols(definition,[sQ291_spl])],[split_symbol_definition]) ).
fof(f2202,plain,
( sQ291_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f542,f2157,f2199]) ).
fof(f2203,plain,
( sQ120_spl
| ~ sQ114_spl
| ~ sQ285_spl ),
inference(split_clause,[status(thm)],[f543,f2157,f1452,f1472]) ).
fof(f2205,plain,
( ~ sQ120_spl
| ~ sQ291_spl
| sQ285_spl ),
inference(split_clause,[status(thm)],[f545,f2157,f2199,f1472]) ).
fof(f2206,definition,
( sQ292_spl
<=> sP36_prd ),
introduced(definition,[new_symbols(definition,[sQ292_spl])],[split_symbol_definition]) ).
fof(f2209,plain,
( sQ292_spl
| ~ sQ286_spl ),
inference(split_clause,[status(thm)],[f549,f2164,f2206]) ).
fof(f2213,definition,
( sQ293_spl
<=> sP37_prd ),
introduced(definition,[new_symbols(definition,[sQ293_spl])],[split_symbol_definition]) ).
fof(f2216,plain,
( sQ293_spl
| ~ sQ287_spl ),
inference(split_clause,[status(thm)],[f556,f2171,f2213]) ).
fof(f2227,definition,
( sQ295_spl
<=> sP39_prd ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2230,plain,
( sQ295_spl
| ~ sQ289_spl ),
inference(split_clause,[status(thm)],[f570,f2185,f2227]) ).
fof(f2232,plain,
( sQ116_spl
| ~ sQ295_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f572,f2185,f2227,f1459]) ).
fof(f2234,definition,
( sQ296_spl
<=> sP40_prd ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2237,plain,
( sQ296_spl
| ~ sQ290_spl ),
inference(split_clause,[status(thm)],[f577,f2192,f2234]) ).
fof(f2239,plain,
( sQ113_spl
| ~ sQ296_spl
| sQ290_spl ),
inference(split_clause,[status(thm)],[f579,f2192,f2234,f1449]) ).
fof(f2241,definition,
( sQ297_spl
<=> sP41_prd ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f2244,plain,
( sQ297_spl
| ~ sQ291_spl ),
inference(split_clause,[status(thm)],[f584,f2199,f2241]) ).
fof(f2247,plain,
( ~ sQ107_spl
| ~ sQ297_spl
| sQ291_spl ),
inference(split_clause,[status(thm)],[f587,f2199,f2241,f1429]) ).
fof(f2248,definition,
( sQ298_spl
<=> sP42_prd ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f2251,plain,
( sQ298_spl
| ~ sQ292_spl ),
inference(split_clause,[status(thm)],[f591,f2206,f2248]) ).
fof(f2255,definition,
( sQ299_spl
<=> sP43_prd ),
introduced(definition,[new_symbols(definition,[sQ299_spl])],[split_symbol_definition]) ).
fof(f2258,plain,
( sQ299_spl
| ~ sQ293_spl ),
inference(split_clause,[status(thm)],[f598,f2213,f2255]) ).
fof(f2269,definition,
( sQ301_spl
<=> sP45_prd ),
introduced(definition,[new_symbols(definition,[sQ301_spl])],[split_symbol_definition]) ).
fof(f2272,plain,
( sQ301_spl
| ~ sQ295_spl ),
inference(split_clause,[status(thm)],[f612,f2227,f2269]) ).
fof(f2274,plain,
( sQ112_spl
| ~ sQ301_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f614,f2227,f2269,f1446]) ).
fof(f2276,definition,
( sQ302_spl
<=> sP46_prd ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f2279,plain,
( sQ302_spl
| ~ sQ296_spl ),
inference(split_clause,[status(thm)],[f619,f2234,f2276]) ).
fof(f2281,plain,
( sQ109_spl
| ~ sQ302_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f621,f2234,f2276,f1436]) ).
fof(f2283,definition,
( sQ303_spl
<=> sP47_prd ),
introduced(definition,[new_symbols(definition,[sQ303_spl])],[split_symbol_definition]) ).
fof(f2286,plain,
( sQ303_spl
| ~ sQ297_spl ),
inference(split_clause,[status(thm)],[f626,f2241,f2283]) ).
fof(f2288,plain,
( sQ106_spl
| ~ sQ303_spl
| sQ297_spl ),
inference(split_clause,[status(thm)],[f628,f2241,f2283,f1426]) ).
fof(f2290,definition,
( sQ304_spl
<=> sP48_prd ),
introduced(definition,[new_symbols(definition,[sQ304_spl])],[split_symbol_definition]) ).
fof(f2293,plain,
( sQ304_spl
| ~ sQ298_spl ),
inference(split_clause,[status(thm)],[f633,f2248,f2290]) ).
fof(f2297,definition,
( sQ305_spl
<=> sP49_prd ),
introduced(definition,[new_symbols(definition,[sQ305_spl])],[split_symbol_definition]) ).
fof(f2300,plain,
( sQ305_spl
| ~ sQ299_spl ),
inference(split_clause,[status(thm)],[f640,f2255,f2297]) ).
fof(f2311,definition,
( sQ307_spl
<=> sP51_prd ),
introduced(definition,[new_symbols(definition,[sQ307_spl])],[split_symbol_definition]) ).
fof(f2314,plain,
( sQ307_spl
| ~ sQ301_spl ),
inference(split_clause,[status(thm)],[f654,f2269,f2311]) ).
fof(f2316,plain,
( sQ108_spl
| ~ sQ307_spl
| sQ301_spl ),
inference(split_clause,[status(thm)],[f656,f2269,f2311,f1433]) ).
fof(f2318,definition,
( sQ308_spl
<=> sP52_prd ),
introduced(definition,[new_symbols(definition,[sQ308_spl])],[split_symbol_definition]) ).
fof(f2321,plain,
( sQ308_spl
| ~ sQ302_spl ),
inference(split_clause,[status(thm)],[f661,f2276,f2318]) ).
fof(f2323,plain,
( sQ105_spl
| ~ sQ308_spl
| sQ302_spl ),
inference(split_clause,[status(thm)],[f663,f2276,f2318,f1423]) ).
fof(f2325,definition,
( sQ309_spl
<=> sP53_prd ),
introduced(definition,[new_symbols(definition,[sQ309_spl])],[split_symbol_definition]) ).
fof(f2328,plain,
( sQ309_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f668,f2283,f2325]) ).
fof(f2329,plain,
( sQ105_spl
| ~ sQ102_spl
| ~ sQ303_spl ),
inference(split_clause,[status(thm)],[f669,f2283,f1413,f1423]) ).
fof(f2330,plain,
( sQ102_spl
| ~ sQ309_spl
| sQ303_spl ),
inference(split_clause,[status(thm)],[f670,f2283,f2325,f1413]) ).
fof(f2332,definition,
( sQ310_spl
<=> sP54_prd ),
introduced(definition,[new_symbols(definition,[sQ310_spl])],[split_symbol_definition]) ).
fof(f2335,plain,
( sQ310_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f675,f2290,f2332]) ).
fof(f2336,plain,
( sQ34_spl
| ~ sQ40_spl
| ~ sQ304_spl ),
inference(split_clause,[status(thm)],[f676,f2290,f1180,f1160]) ).
fof(f2339,definition,
( sQ311_spl
<=> sP55_prd ),
introduced(definition,[new_symbols(definition,[sQ311_spl])],[split_symbol_definition]) ).
fof(f2342,plain,
( sQ311_spl
| ~ sQ305_spl ),
inference(split_clause,[status(thm)],[f682,f2297,f2339]) ).
fof(f2353,definition,
( sQ313_spl
<=> sP57_prd ),
introduced(definition,[new_symbols(definition,[sQ313_spl])],[split_symbol_definition]) ).
fof(f2356,plain,
( sQ313_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f696,f2311,f2353]) ).
fof(f2357,plain,
( sQ98_spl
| ~ sQ104_spl
| ~ sQ307_spl ),
inference(split_clause,[status(thm)],[f697,f2311,f1420,f1400]) ).
fof(f2358,plain,
( sQ104_spl
| ~ sQ313_spl
| sQ307_spl ),
inference(split_clause,[status(thm)],[f698,f2311,f2353,f1420]) ).
fof(f2360,definition,
( sQ314_spl
<=> sP58_prd ),
introduced(definition,[new_symbols(definition,[sQ314_spl])],[split_symbol_definition]) ).
fof(f2363,plain,
( sQ314_spl
| ~ sQ308_spl ),
inference(split_clause,[status(thm)],[f703,f2318,f2360]) ).
fof(f2365,plain,
( sQ101_spl
| ~ sQ314_spl
| sQ308_spl ),
inference(split_clause,[status(thm)],[f705,f2318,f2360,f1410]) ).
fof(f2367,definition,
( sQ315_spl
<=> sP59_prd ),
introduced(definition,[new_symbols(definition,[sQ315_spl])],[split_symbol_definition]) ).
fof(f2370,plain,
( sQ315_spl
| ~ sQ309_spl ),
inference(split_clause,[status(thm)],[f710,f2325,f2367]) ).
fof(f2372,plain,
( sQ98_spl
| ~ sQ315_spl
| sQ309_spl ),
inference(split_clause,[status(thm)],[f712,f2325,f2367,f1400]) ).
fof(f2374,definition,
( sQ316_spl
<=> sP60_prd ),
introduced(definition,[new_symbols(definition,[sQ316_spl])],[split_symbol_definition]) ).
fof(f2377,plain,
( sQ316_spl
| ~ sQ310_spl ),
inference(split_clause,[status(thm)],[f717,f2332,f2374]) ).
fof(f2381,definition,
( sQ317_spl
<=> sP61_prd ),
introduced(definition,[new_symbols(definition,[sQ317_spl])],[split_symbol_definition]) ).
fof(f2384,plain,
( sQ317_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f724,f2339,f2381]) ).
fof(f2385,plain,
( sQ36_spl
| ~ sQ33_spl
| ~ sQ311_spl ),
inference(split_clause,[status(thm)],[f725,f2339,f1157,f1167]) ).
fof(f2395,definition,
( sQ319_spl
<=> sP63_prd ),
introduced(definition,[new_symbols(definition,[sQ319_spl])],[split_symbol_definition]) ).
fof(f2398,plain,
( sQ319_spl
| ~ sQ313_spl ),
inference(split_clause,[status(thm)],[f738,f2353,f2395]) ).
fof(f2401,plain,
( ~ sQ97_spl
| ~ sQ319_spl
| sQ313_spl ),
inference(split_clause,[status(thm)],[f741,f2353,f2395,f1397]) ).
fof(f2402,definition,
( sQ320_spl
<=> sP64_prd ),
introduced(definition,[new_symbols(definition,[sQ320_spl])],[split_symbol_definition]) ).
fof(f2405,plain,
( sQ320_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f745,f2360,f2402]) ).
fof(f2406,plain,
( sQ100_spl
| ~ sQ97_spl
| ~ sQ314_spl ),
inference(split_clause,[status(thm)],[f746,f2360,f1397,f1407]) ).
fof(f2408,plain,
( ~ sQ100_spl
| ~ sQ320_spl
| sQ314_spl ),
inference(split_clause,[status(thm)],[f748,f2360,f2402,f1407]) ).
fof(f2409,definition,
( sQ321_spl
<=> sP65_prd ),
introduced(definition,[new_symbols(definition,[sQ321_spl])],[split_symbol_definition]) ).
fof(f2412,plain,
( sQ321_spl
| ~ sQ315_spl ),
inference(split_clause,[status(thm)],[f752,f2367,f2409]) ).
fof(f2414,plain,
( sQ94_spl
| ~ sQ321_spl
| sQ315_spl ),
inference(split_clause,[status(thm)],[f754,f2367,f2409,f1387]) ).
fof(f2416,definition,
( sQ322_spl
<=> sP66_prd ),
introduced(definition,[new_symbols(definition,[sQ322_spl])],[split_symbol_definition]) ).
fof(f2419,plain,
( sQ322_spl
| ~ sQ316_spl ),
inference(split_clause,[status(thm)],[f759,f2374,f2416]) ).
fof(f2427,plain,
( sQ23_spl
| ~ sQ29_spl
| ~ sQ317_spl ),
inference(split_clause,[status(thm)],[f767,f2381,f1144,f1124]) ).
fof(f2437,definition,
( sQ325_spl
<=> sP69_prd ),
introduced(definition,[new_symbols(definition,[sQ325_spl])],[split_symbol_definition]) ).
fof(f2440,plain,
( sQ325_spl
| ~ sQ319_spl ),
inference(split_clause,[status(thm)],[f780,f2395,f2437]) ).
fof(f2442,plain,
( sQ96_spl
| ~ sQ325_spl
| sQ319_spl ),
inference(split_clause,[status(thm)],[f782,f2395,f2437,f1394]) ).
fof(f2444,definition,
( sQ326_spl
<=> sP70_prd ),
introduced(definition,[new_symbols(definition,[sQ326_spl])],[split_symbol_definition]) ).
fof(f2447,plain,
( sQ326_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f787,f2402,f2444]) ).
fof(f2448,plain,
( sQ87_spl
| ~ sQ93_spl
| ~ sQ320_spl ),
inference(split_clause,[status(thm)],[f788,f2402,f1384,f1364]) ).
fof(f2449,plain,
( sQ93_spl
| ~ sQ326_spl
| sQ320_spl ),
inference(split_clause,[status(thm)],[f789,f2402,f2444,f1384]) ).
fof(f2451,definition,
( sQ327_spl
<=> sP71_prd ),
introduced(definition,[new_symbols(definition,[sQ327_spl])],[split_symbol_definition]) ).
fof(f2454,plain,
( sQ327_spl
| ~ sQ321_spl ),
inference(split_clause,[status(thm)],[f794,f2409,f2451]) ).
fof(f2456,plain,
( sQ90_spl
| ~ sQ327_spl
| sQ321_spl ),
inference(split_clause,[status(thm)],[f796,f2409,f2451,f1374]) ).
fof(f2458,definition,
( sQ328_spl
<=> sP72_prd ),
introduced(definition,[new_symbols(definition,[sQ328_spl])],[split_symbol_definition]) ).
fof(f2461,plain,
( sQ328_spl
| ~ sQ322_spl ),
inference(split_clause,[status(thm)],[f801,f2416,f2458]) ).
fof(f2479,definition,
( sQ331_spl
<=> sP75_prd ),
introduced(definition,[new_symbols(definition,[sQ331_spl])],[split_symbol_definition]) ).
fof(f2482,plain,
( sQ331_spl
| ~ sQ325_spl ),
inference(split_clause,[status(thm)],[f822,f2437,f2479]) ).
fof(f2484,plain,
( sQ92_spl
| ~ sQ331_spl
| sQ325_spl ),
inference(split_clause,[status(thm)],[f824,f2437,f2479,f1381]) ).
fof(f2486,definition,
( sQ332_spl
<=> sP76_prd ),
introduced(definition,[new_symbols(definition,[sQ332_spl])],[split_symbol_definition]) ).
fof(f2489,plain,
( sQ332_spl
| ~ sQ326_spl ),
inference(split_clause,[status(thm)],[f829,f2444,f2486]) ).
fof(f2492,plain,
( ~ sQ86_spl
| ~ sQ332_spl
| sQ326_spl ),
inference(split_clause,[status(thm)],[f832,f2444,f2486,f1361]) ).
fof(f2493,definition,
( sQ333_spl
<=> sP77_prd ),
introduced(definition,[new_symbols(definition,[sQ333_spl])],[split_symbol_definition]) ).
fof(f2496,plain,
( sQ333_spl
| ~ sQ327_spl ),
inference(split_clause,[status(thm)],[f836,f2451,f2493]) ).
fof(f2499,plain,
( ~ sQ89_spl
| ~ sQ333_spl
| sQ327_spl ),
inference(split_clause,[status(thm)],[f839,f2451,f2493,f1371]) ).
fof(f2500,definition,
( sQ334_spl
<=> sP78_prd ),
introduced(definition,[new_symbols(definition,[sQ334_spl])],[split_symbol_definition]) ).
fof(f2503,plain,
( sQ334_spl
| ~ sQ328_spl ),
inference(split_clause,[status(thm)],[f843,f2458,f2500]) ).
fof(f2521,definition,
( sQ337_spl
<=> sP81_prd ),
introduced(definition,[new_symbols(definition,[sQ337_spl])],[split_symbol_definition]) ).
fof(f2524,plain,
( sQ337_spl
| ~ sQ331_spl ),
inference(split_clause,[status(thm)],[f864,f2479,f2521]) ).
fof(f2526,plain,
( sQ88_spl
| ~ sQ337_spl
| sQ331_spl ),
inference(split_clause,[status(thm)],[f866,f2479,f2521,f1368]) ).
fof(f2528,definition,
( sQ338_spl
<=> sP82_prd ),
introduced(definition,[new_symbols(definition,[sQ338_spl])],[split_symbol_definition]) ).
fof(f2531,plain,
( sQ338_spl
| ~ sQ332_spl ),
inference(split_clause,[status(thm)],[f871,f2486,f2528]) ).
fof(f2533,plain,
( sQ85_spl
| ~ sQ338_spl
| sQ332_spl ),
inference(split_clause,[status(thm)],[f873,f2486,f2528,f1358]) ).
fof(f2535,definition,
( sQ339_spl
<=> sP83_prd ),
introduced(definition,[new_symbols(definition,[sQ339_spl])],[split_symbol_definition]) ).
fof(f2538,plain,
( sQ339_spl
| ~ sQ333_spl ),
inference(split_clause,[status(thm)],[f878,f2493,f2535]) ).
fof(f2540,plain,
( sQ82_spl
| ~ sQ339_spl
| sQ333_spl ),
inference(split_clause,[status(thm)],[f880,f2493,f2535,f1348]) ).
fof(f2542,definition,
( sQ340_spl
<=> sP84_prd ),
introduced(definition,[new_symbols(definition,[sQ340_spl])],[split_symbol_definition]) ).
fof(f2545,plain,
( sQ340_spl
| ~ sQ334_spl ),
inference(split_clause,[status(thm)],[f885,f2500,f2542]) ).
fof(f2563,definition,
( sQ343_spl
<=> sP87_prd ),
introduced(definition,[new_symbols(definition,[sQ343_spl])],[split_symbol_definition]) ).
fof(f2566,plain,
( sQ343_spl
| ~ sQ337_spl ),
inference(split_clause,[status(thm)],[f906,f2521,f2563]) ).
fof(f2567,plain,
( sQ81_spl
| ~ sQ84_spl
| ~ sQ337_spl ),
inference(split_clause,[status(thm)],[f907,f2521,f1355,f1345]) ).
fof(f2568,plain,
( sQ84_spl
| ~ sQ343_spl
| sQ337_spl ),
inference(split_clause,[status(thm)],[f908,f2521,f2563,f1355]) ).
fof(f2570,definition,
( sQ344_spl
<=> sP88_prd ),
introduced(definition,[new_symbols(definition,[sQ344_spl])],[split_symbol_definition]) ).
fof(f2573,plain,
( sQ344_spl
| ~ sQ338_spl ),
inference(split_clause,[status(thm)],[f913,f2528,f2570]) ).
fof(f2575,plain,
( sQ81_spl
| ~ sQ344_spl
| sQ338_spl ),
inference(split_clause,[status(thm)],[f915,f2528,f2570,f1345]) ).
fof(f2577,definition,
( sQ345_spl
<=> sP89_prd ),
introduced(definition,[new_symbols(definition,[sQ345_spl])],[split_symbol_definition]) ).
fof(f2580,plain,
( sQ345_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f920,f2535,f2577]) ).
fof(f2581,plain,
( sQ75_spl
| ~ sQ78_spl
| ~ sQ339_spl ),
inference(split_clause,[status(thm)],[f921,f2535,f1335,f1325]) ).
fof(f2582,plain,
( sQ78_spl
| ~ sQ345_spl
| sQ339_spl ),
inference(split_clause,[status(thm)],[f922,f2535,f2577,f1335]) ).
fof(f2584,definition,
( sQ346_spl
<=> sP90_prd ),
introduced(definition,[new_symbols(definition,[sQ346_spl])],[split_symbol_definition]) ).
fof(f2587,plain,
( sQ346_spl
| ~ sQ340_spl ),
inference(split_clause,[status(thm)],[f927,f2542,f2584]) ).
fof(f2605,definition,
( sQ349_spl
<=> sP93_prd ),
introduced(definition,[new_symbols(definition,[sQ349_spl])],[split_symbol_definition]) ).
fof(f2608,plain,
( sQ349_spl
| ~ sQ343_spl ),
inference(split_clause,[status(thm)],[f948,f2563,f2605]) ).
fof(f2611,plain,
( ~ sQ80_spl
| ~ sQ349_spl
| sQ343_spl ),
inference(split_clause,[status(thm)],[f951,f2563,f2605,f1342]) ).
fof(f2612,definition,
( sQ350_spl
<=> sP94_prd ),
introduced(definition,[new_symbols(definition,[sQ350_spl])],[split_symbol_definition]) ).
fof(f2616,plain,
( sQ71_spl
| ~ sQ77_spl
| ~ sQ344_spl ),
inference(split_clause,[status(thm)],[f956,f2570,f1332,f1312]) ).
fof(f2617,plain,
( sQ77_spl
| ~ sQ350_spl
| sQ344_spl ),
inference(split_clause,[status(thm)],[f957,f2570,f2612,f1332]) ).
fof(f2619,definition,
( sQ351_spl
<=> sP95_prd ),
introduced(definition,[new_symbols(definition,[sQ351_spl])],[split_symbol_definition]) ).
fof(f2622,plain,
( sQ351_spl
| ~ sQ345_spl ),
inference(split_clause,[status(thm)],[f962,f2577,f2619]) ).
fof(f2624,plain,
( sQ74_spl
| ~ sQ351_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f964,f2577,f2619,f1322]) ).
fof(f2625,plain,
( ~ sQ74_spl
| ~ sQ351_spl
| sQ345_spl ),
inference(split_clause,[status(thm)],[f965,f2577,f2619,f1322]) ).
fof(f2626,definition,
( sQ352_spl
<=> sP96_prd ),
introduced(definition,[new_symbols(definition,[sQ352_spl])],[split_symbol_definition]) ).
fof(f2629,plain,
( sQ352_spl
| ~ sQ346_spl ),
inference(split_clause,[status(thm)],[f969,f2584,f2626]) ).
fof(f2646,definition,
( sQ354_spl
<=> sP98_prd ),
introduced(definition,[new_symbols(definition,[sQ354_spl])],[split_symbol_definition]) ).
fof(f2649,plain,
( sQ354_spl
| ~ sQ349_spl ),
inference(split_clause,[status(thm)],[f990,f2605,f2646]) ).
fof(f2652,plain,
( ~ sQ67_spl
| ~ sQ354_spl
| sQ349_spl ),
inference(split_clause,[status(thm)],[f993,f2605,f2646,f1299]) ).
fof(f2653,definition,
( sQ355_spl
<=> sP99_prd ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f2658,plain,
( sQ73_spl
| ~ sQ355_spl
| sQ350_spl ),
inference(split_clause,[status(thm)],[f999,f2612,f2653,f1319]) ).
fof(f2661,plain,
( sQ73_spl
| ~ sQ70_spl
| ~ sQ351_spl ),
inference(split_clause,[status(thm)],[f1003,f2619,f1309,f1319]) ).
fof(f2662,plain,
( sQ70_spl
| sQ66_spl
| sQ351_spl ),
inference(split_clause,[status(thm)],[f1004,f2619,f1296,f1309]) ).
fof(f2670,plain,
( sQ2_spl
| ~ sQ8_spl
| ~ sQ352_spl ),
inference(split_clause,[status(thm)],[f1012,f2626,f1076,f1056]) ).
fof(f2679,definition,
( sQ357_spl
<=> sP101_prd ),
introduced(definition,[new_symbols(definition,[sQ357_spl])],[split_symbol_definition]) ).
fof(f2682,plain,
( sQ357_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1025,f2646,f2679]) ).
fof(f2683,plain,
( sQ66_spl
| ~ sQ72_spl
| ~ sQ354_spl ),
inference(split_clause,[status(thm)],[f1026,f2646,f1316,f1296]) ).
fof(f2684,plain,
( sQ72_spl
| ~ sQ357_spl
| sQ354_spl ),
inference(split_clause,[status(thm)],[f1027,f2646,f2679,f1316]) ).
fof(f2689,plain,
( ~ sQ69_spl
| sQ65_spl
| sQ355_spl ),
inference(split_clause,[status(thm)],[f1033,f2653,f1293,f1306]) ).
fof(f2699,plain,
( sQ65_spl
| ~ sQ68_spl
| ~ sQ357_spl ),
inference(split_clause,[status(thm)],[f1045,f2679,f1303,f1293]) ).
fof(f2700,plain,
( sQ68_spl
| sQ64_spl
| sQ357_spl ),
inference(split_clause,[status(thm)],[f1046,f2679,f1290,f1303]) ).
fof(f2707,plain,
( sQ218_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f302,f1846]) ).
fof(f2708,plain,
sQ218_spl,
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2720,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2082,f2065]) ).
fof(f2721,plain,
( ~ sQ269_spl
| ~ sQ273_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2720,f221]) ).
fof(f2722,plain,
( ~ sQ269_spl
| ~ sQ273_spl ),
inference(contradiction_clause,[status(thm)],[f2721]) ).
fof(f2730,plain,
( ~ sQ267_spl
| ~ sQ271_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2074,f2057]) ).
fof(f2731,plain,
( ~ sQ267_spl
| ~ sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2730,f221]) ).
fof(f2732,plain,
( ~ sQ267_spl
| ~ sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f2731]) ).
fof(f2748,plain,
( ~ sQ255_spl
| ~ sQ259_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f2023,f2006]) ).
fof(f2749,plain,
( ~ sQ255_spl
| ~ sQ259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2748,f221]) ).
fof(f2750,plain,
( ~ sQ255_spl
| ~ sQ259_spl ),
inference(contradiction_clause,[status(thm)],[f2749]) ).
fof(f2751,plain,
( ~ sQ254_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f298,f2002]) ).
fof(f2752,plain,
( ~ sQ254_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2751,f221]) ).
fof(f2753,plain,
~ sQ254_spl,
inference(contradiction_clause,[status(thm)],[f2752]) ).
fof(f2755,plain,
( ~ sQ250_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f298,f1985]) ).
fof(f2756,plain,
( ~ sQ250_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2755,f219]) ).
fof(f2757,plain,
~ sQ250_spl,
inference(contradiction_clause,[status(thm)],[f2756]) ).
fof(f2762,plain,
( ~ sQ246_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f294,f1968]) ).
fof(f2763,plain,
( ~ sQ246_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2762,f221]) ).
fof(f2764,plain,
~ sQ246_spl,
inference(contradiction_clause,[status(thm)],[f2763]) ).
fof(f2768,plain,
( ~ sQ245_spl
| ~ sQ249_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1980,f1963]) ).
fof(f2769,plain,
( ~ sQ245_spl
| ~ sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2768,f221]) ).
fof(f2770,plain,
( ~ sQ245_spl
| ~ sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f2769]) ).
fof(f2774,plain,
( ~ sQ243_spl
| ~ sQ247_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1972,f1955]) ).
fof(f2775,plain,
( ~ sQ243_spl
| ~ sQ247_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2774,f221]) ).
fof(f2776,plain,
( ~ sQ243_spl
| ~ sQ247_spl ),
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2777,plain,
( ~ sQ238_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f294,f1934]) ).
fof(f2778,plain,
( ~ sQ238_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2777,f218]) ).
fof(f2779,plain,
~ sQ238_spl,
inference(contradiction_clause,[status(thm)],[f2778]) ).
fof(f2784,plain,
( ~ sQ234_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f290,f1917]) ).
fof(f2785,plain,
( ~ sQ234_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2784,f219]) ).
fof(f2786,plain,
~ sQ234_spl,
inference(contradiction_clause,[status(thm)],[f2785]) ).
fof(f2791,plain,
( ~ sQ232_spl
| ~ sQ236_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1925,f1908]) ).
fof(f2792,plain,
( ~ sQ232_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2791,f221]) ).
fof(f2793,plain,
( ~ sQ232_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f2792]) ).
fof(f2794,plain,
( ~ sQ231_spl
| ~ sQ235_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1921,f1904]) ).
fof(f2795,plain,
( ~ sQ231_spl
| ~ sQ235_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2794,f221]) ).
fof(f2796,plain,
( ~ sQ231_spl
| ~ sQ235_spl ),
inference(contradiction_clause,[status(thm)],[f2795]) ).
fof(f2797,plain,
( ~ sQ230_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f290,f1900]) ).
fof(f2798,plain,
( ~ sQ230_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2797,f218]) ).
fof(f2799,plain,
~ sQ230_spl,
inference(contradiction_clause,[status(thm)],[f2798]) ).
fof(f2801,plain,
( ~ sQ218_spl
| ~ sQ262_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f2036,f1845]) ).
fof(f2802,plain,
( ~ sQ218_spl
| ~ sQ262_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2801,f220]) ).
fof(f2803,plain,
( ~ sQ218_spl
| ~ sQ262_spl ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2818,plain,
( sQ207_spl
| h4(op1(e12,e10)) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f302,f1813]) ).
fof(f2819,plain,
( ~ sQ270_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f302,f2070]) ).
fof(f2820,plain,
( ~ sQ270_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2819,f223]) ).
fof(f2821,plain,
~ sQ270_spl,
inference(contradiction_clause,[status(thm)],[f2820]) ).
fof(f2835,plain,
( ~ sQ260_spl
| ~ sQ252_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1993,f2027]) ).
fof(f2836,plain,
( ~ sQ260_spl
| ~ sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2835,f219]) ).
fof(f2837,plain,
( ~ sQ260_spl
| ~ sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f2836]) ).
fof(f2841,plain,
( sQ258_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f298,f2020]) ).
fof(f2842,plain,
( sQ258_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2841]) ).
fof(f2843,plain,
sQ258_spl,
inference(contradiction_clause,[status(thm)],[f2842]) ).
fof(f2849,plain,
( ~ sQ248_spl
| ~ sQ240_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1942,f1976]) ).
fof(f2850,plain,
( ~ sQ248_spl
| ~ sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2849,f219]) ).
fof(f2851,plain,
( ~ sQ248_spl
| ~ sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f2850]) ).
fof(f2856,plain,
( ~ sQ245_spl
| ~ sQ241_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1946,f1963]) ).
fof(f2857,plain,
( ~ sQ245_spl
| ~ sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2856,f218]) ).
fof(f2858,plain,
( ~ sQ245_spl
| ~ sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f2857]) ).
fof(f2875,plain,
( ~ sQ252_spl
| ~ sQ256_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2010,f1993]) ).
fof(f2876,plain,
( ~ sQ252_spl
| ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2875,f218]) ).
fof(f2877,plain,
( ~ sQ252_spl
| ~ sQ256_spl ),
inference(contradiction_clause,[status(thm)],[f2876]) ).
fof(f2884,plain,
( sQ203_spl
| h4(op1(e11,e10)) != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f302,f1801]) ).
fof(f2890,plain,
( ~ sQ267_spl
| ~ sQ263_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f2040,f2057]) ).
fof(f2891,plain,
( ~ sQ267_spl
| ~ sQ263_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2890,f218]) ).
fof(f2892,plain,
( ~ sQ267_spl
| ~ sQ263_spl ),
inference(contradiction_clause,[status(thm)],[f2891]) ).
fof(f2893,plain,
( ~ sQ266_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f302,f2053]) ).
fof(f2894,plain,
( ~ sQ266_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2893,f222]) ).
fof(f2895,plain,
~ sQ266_spl,
inference(contradiction_clause,[status(thm)],[f2894]) ).
fof(f2898,plain,
( ~ sQ251_spl
| ~ sQ255_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f2006,f1989]) ).
fof(f2899,plain,
( ~ sQ251_spl
| ~ sQ255_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2898,f218]) ).
fof(f2900,plain,
( ~ sQ251_spl
| ~ sQ255_spl ),
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2903,plain,
e13 != op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f286,f142]) ).
fof(f2904,plain,
e13 != op1(e10,e12),
inference(backward_demodulation,[status(thm)],[f286,f141]) ).
fof(f2905,plain,
e13 != op1(e10,e11),
inference(backward_demodulation,[status(thm)],[f286,f140]) ).
fof(f2908,plain,
e13 != op1(e11,e10),
inference(backward_demodulation,[status(thm)],[f286,f116]) ).
fof(f2911,plain,
e23 != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f289,f165]) ).
fof(f2912,plain,
e23 != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f289,f164]) ).
fof(f2913,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1495,f267]) ).
fof(f2914,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f2913]) ).
fof(f2915,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1255,f245]) ).
fof(f2916,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f2915]) ).
fof(f2925,plain,
( sQ199_spl
| h4(e13) != op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f1789]) ).
fof(f2926,plain,
( sQ199_spl
| h4(e13) != op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f302,f2925]) ).
fof(f2927,plain,
( sQ199_spl
| h4(e13) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f302,f2926]) ).
fof(f2928,plain,
( ~ sQ31_spl
| op1(e11,e12) != e13 ),
inference(backward_demodulation,[status(thm)],[f1151,f151]) ).
fof(f2929,plain,
( ~ sQ31_spl
| op1(e11,e11) != e13 ),
inference(backward_demodulation,[status(thm)],[f1151,f150]) ).
fof(f2933,plain,
( ~ sQ31_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f2928,f1137,f1150]) ).
fof(f2939,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f1203,f1200]) ).
fof(f2940,plain,
( ~ sQ46_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2939,f217]) ).
fof(f2941,plain,
( ~ sQ46_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f2940]) ).
fof(f2951,plain,
( ~ sQ66_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f289,f1297]) ).
fof(f2952,plain,
( ~ sQ66_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2951,f223]) ).
fof(f2953,plain,
~ sQ66_spl,
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2954,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1339,f1330]) ).
fof(f2955,plain,
( ~ sQ76_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2954,f220]) ).
fof(f2956,plain,
( ~ sQ76_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f2955]) ).
fof(f2959,plain,
( ~ sQ92_spl
| ~ sQ95_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1391,f1382]) ).
fof(f2960,plain,
( ~ sQ92_spl
| ~ sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2959,f220]) ).
fof(f2961,plain,
( ~ sQ92_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2960]) ).
fof(f2963,plain,
( ~ sQ108_spl
| ~ sQ111_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f1443,f1434]) ).
fof(f2964,plain,
( ~ sQ108_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2963,f220]) ).
fof(f2965,plain,
( ~ sQ108_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f2964]) ).
fof(f2967,plain,
( ~ sQ79_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1339,f182]) ).
fof(f2968,plain,
( ~ sQ79_spl
| ~ sQ95_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f1391,f2967]) ).
fof(f2969,plain,
( ~ sQ79_spl
| ~ sQ95_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f2968]) ).
fof(f2970,plain,
( ~ sQ79_spl
| ~ sQ95_spl ),
inference(contradiction_clause,[status(thm)],[f2969]) ).
fof(f2974,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f1339,f1333]) ).
fof(f2975,plain,
( ~ sQ77_spl
| ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2974,f222]) ).
fof(f2976,plain,
( ~ sQ77_spl
| ~ sQ79_spl ),
inference(contradiction_clause,[status(thm)],[f2975]) ).
fof(f2977,plain,
( ~ sQ124_spl
| op2(e20,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1486,f184]) ).
fof(f2979,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1486,f1489]) ).
fof(f2980,plain,
( ~ sQ125_spl
| ~ sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2979,f218]) ).
fof(f2981,plain,
( ~ sQ125_spl
| ~ sQ124_spl ),
inference(contradiction_clause,[status(thm)],[f2980]) ).
fof(f2991,plain,
( ~ sQ2_spl
| e13 = e12 ),
inference(forward_demodulation,[status(thm)],[f286,f1057]) ).
fof(f2992,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2991,f217]) ).
fof(f2993,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f2992]) ).
fof(f3002,plain,
( ~ sQ93_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1385,f186]) ).
fof(f3004,plain,
( ~ sQ109_spl
| e21 != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f1437,f187]) ).
fof(f3006,plain,
e23 != op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f289,f188]) ).
fof(f3008,plain,
e23 != op2(e20,e22),
inference(forward_demodulation,[status(thm)],[f289,f189]) ).
fof(f3010,plain,
( sQ188_spl
| h3(op1(e13,e10)) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f298,f1752]) ).
fof(f3011,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| e20 = e21 ),
inference(forward_demodulation,[status(thm)],[f1343,f1346]) ).
fof(f3012,plain,
( ~ sQ81_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3011,f218]) ).
fof(f3013,plain,
( ~ sQ81_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f3012]) ).
fof(f3018,plain,
( ~ sQ95_spl
| ~ sQ93_spl
| e21 = e23 ),
inference(forward_demodulation,[status(thm)],[f1385,f1391]) ).
fof(f3019,plain,
( ~ sQ95_spl
| ~ sQ93_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3018,f222]) ).
fof(f3020,plain,
( ~ sQ95_spl
| ~ sQ93_spl ),
inference(contradiction_clause,[status(thm)],[f3019]) ).
fof(f3021,plain,
( ~ sQ124_spl
| op2(e21,e23) != e20 ),
inference(forward_demodulation,[status(thm)],[f1486,f186]) ).
fof(f3027,plain,
( ~ sQ104_spl
| e20 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1421,f181]) ).
fof(f3031,plain,
( ~ sQ116_spl
| op2(e22,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1460,f175]) ).
fof(f3032,plain,
( ~ sQ116_spl
| op2(e21,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1460,f174]) ).
fof(f3039,plain,
( sQ184_spl
| h3(op1(e12,e10)) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f298,f1740]) ).
fof(f3041,plain,
( ~ sQ120_spl
| op2(e20,e22) != e20 ),
inference(backward_demodulation,[status(thm)],[f1473,f178]) ).
fof(f3042,plain,
( ~ sQ114_spl
| ~ sQ112_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1447,f1453]) ).
fof(f3043,plain,
( ~ sQ114_spl
| ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3042,f219]) ).
fof(f3044,plain,
( ~ sQ114_spl
| ~ sQ112_spl ),
inference(contradiction_clause,[status(thm)],[f3043]) ).
fof(f3050,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1476,f1479]) ).
fof(f3051,plain,
( ~ sQ122_spl
| ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3050,f221]) ).
fof(f3052,plain,
( ~ sQ122_spl
| ~ sQ121_spl ),
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3054,plain,
( ~ sQ65_spl
| e23 = e21 ),
inference(forward_demodulation,[status(thm)],[f289,f1294]) ).
fof(f3055,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3054,f222]) ).
fof(f3056,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f3055]) ).
fof(f3059,plain,
( ~ sQ110_spl
| ~ sQ109_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1437,f1440]) ).
fof(f3060,plain,
( ~ sQ110_spl
| ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3059,f221]) ).
fof(f3061,plain,
( ~ sQ110_spl
| ~ sQ109_spl ),
inference(contradiction_clause,[status(thm)],[f3060]) ).
fof(f3065,plain,
( ~ sQ116_spl
| ~ sQ100_spl ),
inference(split_clause,[status(thm)],[f3031,f1407,f1459]) ).
fof(f3066,plain,
( ~ sQ116_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3032,f1355,f1459]) ).
fof(f3071,plain,
( ~ sQ93_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f3002,f1488,f1384]) ).
fof(f3073,plain,
( ~ sQ120_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f3041,f1316,f1472]) ).
fof(f3075,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1326,f3008]) ).
fof(f3076,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f3075]) ).
fof(f3080,plain,
( ~ sQ109_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f3004,f1488,f1436]) ).
fof(f3082,plain,
( ~ sQ124_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f2977,f1329,f1485]) ).
fof(f3086,plain,
( sQ203_spl
| ~ sQ16_spl
| h4(e10) != op2(h4(e11),e23) ),
inference(backward_demodulation,[status(thm)],[f1103,f2884]) ).
fof(f3087,plain,
( ~ sQ16_spl
| e10 != op1(e11,e12) ),
inference(backward_demodulation,[status(thm)],[f1103,f147]) ).
fof(f3088,plain,
( ~ sQ16_spl
| e10 != op1(e11,e11) ),
inference(backward_demodulation,[status(thm)],[f1103,f146]) ).
fof(f3091,plain,
( sQ203_spl
| ~ sQ16_spl
| e23 != op2(h4(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f302,f3086]) ).
fof(f3092,plain,
( ~ sQ16_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f3087,f1128,f1102]) ).
fof(f3093,plain,
( ~ sQ16_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f3088,f1115,f1102]) ).
fof(f3099,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1103,f1106]) ).
fof(f3100,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3099,f212]) ).
fof(f3101,plain,
( ~ sQ17_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f3100]) ).
fof(f3111,plain,
( ~ sQ36_spl
| e10 != op1(e12,e12) ),
inference(backward_demodulation,[status(thm)],[f1168,f155]) ).
fof(f3116,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| e10 = e11 ),
inference(forward_demodulation,[status(thm)],[f1155,f1158]) ).
fof(f3117,plain,
( ~ sQ33_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3116,f212]) ).
fof(f3118,plain,
( ~ sQ33_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f3117]) ).
fof(f3131,plain,
( ~ sQ52_spl
| e10 != op1(e13,e12) ),
inference(backward_demodulation,[status(thm)],[f1220,f161]) ).
fof(f3134,plain,
( ~ sQ52_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3131,f1232,f1219]) ).
fof(f3142,plain,
( ~ sQ57_spl
| op1(e11,e12) != e11 ),
inference(backward_demodulation,[status(thm)],[f1236,f132]) ).
fof(f3144,plain,
( ~ sQ57_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f3142,f1131,f1235]) ).
fof(f3146,plain,
( ~ sQ1_spl
| e13 = e11 ),
inference(forward_demodulation,[status(thm)],[f286,f1054]) ).
fof(f3147,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f216]) ).
fof(f3148,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3147]) ).
fof(f3149,plain,
( ~ sQ36_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f3111,f1180,f1167]) ).
fof(f3161,plain,
( ~ sQ64_spl
| e23 = e20 ),
inference(forward_demodulation,[status(thm)],[f289,f1291]) ).
fof(f3162,plain,
( ~ sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3161,f220]) ).
fof(f3163,plain,
~ sQ64_spl,
inference(contradiction_clause,[status(thm)],[f3162]) ).
fof(f3165,plain,
( ~ sQ0_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f286,f1051]) ).
fof(f3166,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3165,f214]) ).
fof(f3167,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3166]) ).
fof(f3175,plain,
( ~ sQ31_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f2929,f1124,f1150]) ).
fof(f3181,plain,
( ~ sQ74_spl
| e22 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f1323,f193]) ).
fof(f3190,plain,
( ~ sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1359,f265]) ).
fof(f3191,plain,
~ sQ85_spl,
inference(contradiction_clause,[status(thm)],[f3190]) ).
fof(f3192,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1119,f243]) ).
fof(f3193,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f3192]) ).
fof(f3198,plain,
( ~ sQ104_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f3027,f1472,f1420]) ).
fof(f3205,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f1372,f1375]) ).
fof(f3206,plain,
( ~ sQ90_spl
| ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3205,f221]) ).
fof(f3207,plain,
( ~ sQ90_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f3206]) ).
fof(f3210,plain,
( ~ sQ26_spl
| op1(e11,e11) != e12 ),
inference(backward_demodulation,[status(thm)],[f1135,f149]) ).
fof(f3214,plain,
( ~ sQ101_spl
| op2(e22,e20) != e21 ),
inference(backward_demodulation,[status(thm)],[f1411,f200]) ).
fof(f3217,plain,
( ~ sQ101_spl
| ~ sQ97_spl ),
inference(split_clause,[status(thm)],[f3214,f1397,f1410]) ).
fof(f3220,plain,
e11 = op1(op1(e13,e10),e10),
inference(forward_demodulation,[status(thm)],[f286,f284]) ).
fof(f3221,plain,
e11 = op1(e12,e10),
inference(backward_demodulation,[status(thm)],[f3222,f3220]) ).
fof(f3222,plain,
e12 = op1(e13,e10),
inference(forward_demodulation,[status(thm)],[f286,f285]) ).
fof(f3223,plain,
e21 = op2(op2(e23,e20),e20),
inference(forward_demodulation,[status(thm)],[f289,f287]) ).
fof(f3224,plain,
e21 = op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f3228,f3223]) ).
fof(f3225,plain,
e22 != op2(e23,e23),
inference(backward_demodulation,[status(thm)],[f3228,f208]) ).
fof(f3227,plain,
e22 != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f3228,f206]) ).
fof(f3228,plain,
e22 = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f289,f288]) ).
fof(f3229,plain,
( sQ176_spl
| h3(e13) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f1716]) ).
fof(f3230,plain,
( sQ176_spl
| h3(e13) != op2(e22,h3(e10)) ),
inference(forward_demodulation,[status(thm)],[f298,f3229]) ).
fof(f3231,plain,
( sQ176_spl
| h3(e13) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f298,f3230]) ).
fof(f3240,plain,
( ~ sQ117_spl
| e21 != op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f1463,f210]) ).
fof(f3241,plain,
( ~ sQ117_spl
| e21 != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f1463,f209]) ).
fof(f3242,plain,
( ~ sQ117_spl
| ~ sQ125_spl ),
inference(split_clause,[status(thm)],[f3240,f1488,f1462]) ).
fof(f3252,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f1135,f1132]) ).
fof(f3253,plain,
( ~ sQ25_spl
| ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3252,f215]) ).
fof(f3254,plain,
( ~ sQ25_spl
| ~ sQ26_spl ),
inference(contradiction_clause,[status(thm)],[f3253]) ).
fof(f3261,plain,
( ~ sQ229_spl
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f1895,f293]) ).
fof(f3262,plain,
( ~ sQ229_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f289,f3261]) ).
fof(f3263,plain,
( ~ sQ229_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3262,f220]) ).
fof(f3264,plain,
~ sQ229_spl,
inference(contradiction_clause,[status(thm)],[f3263]) ).
fof(f3265,plain,
h1(e13) = e23,
inference(forward_demodulation,[status(thm)],[f289,f293]) ).
fof(f3266,plain,
( ~ sQ228_spl
| ~ sQ236_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f1925,f1891]) ).
fof(f3267,plain,
( ~ sQ228_spl
| ~ sQ236_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3266,f219]) ).
fof(f3268,plain,
( ~ sQ228_spl
| ~ sQ236_spl ),
inference(contradiction_clause,[status(thm)],[f3267]) ).
fof(f3269,plain,
h1(e12) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f289,f292]) ).
fof(f3270,plain,
h1(e12) = e22,
inference(forward_demodulation,[status(thm)],[f3228,f3269]) ).
fof(f3271,plain,
h1(e11) = op2(op2(e23,e20),e20),
inference(forward_demodulation,[status(thm)],[f289,f291]) ).
fof(f3272,plain,
h1(e11) = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f3228,f3271]) ).
fof(f3278,plain,
( sQ152_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3265,f1639]) ).
fof(f3279,plain,
sQ152_spl,
inference(contradiction_clause,[status(thm)],[f3278]) ).
fof(f3281,plain,
( sQ236_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3270,f1926]) ).
fof(f3282,plain,
( sQ236_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3281]) ).
fof(f3283,plain,
sQ236_spl,
inference(contradiction_clause,[status(thm)],[f3282]) ).
fof(f3290,plain,
h2(e13) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f297,f198]) ).
fof(f3293,plain,
h3(e11) = op2(h3(e12),e22),
inference(backward_demodulation,[status(thm)],[f300,f299]) ).
fof(f3294,plain,
h3(e12) = op2(h3(e13),e22),
inference(backward_demodulation,[status(thm)],[f301,f300]) ).
fof(f3299,plain,
h2(e11) = op2(op2(h2(e13),e21),e21),
inference(forward_demodulation,[status(thm)],[f297,f295]) ).
fof(f3300,plain,
h2(e12) = op2(h2(e13),e21),
inference(forward_demodulation,[status(thm)],[f297,f296]) ).
fof(f3308,plain,
h4(e11) = op2(h4(e12),e23),
inference(backward_demodulation,[status(thm)],[f304,f303]) ).
fof(f3309,plain,
( sQ199_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f305,f2927]) ).
fof(f3310,plain,
sQ199_spl,
inference(contradiction_clause,[status(thm)],[f3309]) ).
fof(f3311,plain,
( ~ sQ199_spl
| h4(e13) = op2(h4(e10),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f1788]) ).
fof(f3312,plain,
( ~ sQ199_spl
| h4(e13) = op2(e23,h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f302,f3311]) ).
fof(f3313,plain,
( ~ sQ199_spl
| h4(e13) = op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f302,f3312]) ).
fof(f3317,plain,
( sQ165_spl
| h2(e12) != op2(h2(e13),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f3222,f1679]) ).
fof(f3318,plain,
( sQ165_spl
| ~ sQ240_spl
| e20 != op2(h2(e13),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f1942,f3317]) ).
fof(f3319,plain,
( sQ165_spl
| ~ sQ240_spl
| e20 != op2(h2(e13),e21) ),
inference(forward_demodulation,[status(thm)],[f294,f3318]) ).
fof(f3321,plain,
( sQ176_spl
| h3(e13) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f301,f3231]) ).
fof(f3322,plain,
( sQ176_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3321]) ).
fof(f3323,plain,
sQ176_spl,
inference(contradiction_clause,[status(thm)],[f3322]) ).
fof(f3327,plain,
( ~ sQ199_spl
| h4(e12) = op2(h4(e13),e23) ),
inference(backward_demodulation,[status(thm)],[f3313,f304]) ).
fof(f3328,plain,
( ~ sQ199_spl
| op2(e23,e22) != h4(e13) ),
inference(backward_demodulation,[status(thm)],[f3313,f211]) ).
fof(f3332,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f1223,f1229]) ).
fof(f3333,plain,
( ~ sQ55_spl
| ~ sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3332,f216]) ).
fof(f3334,plain,
( ~ sQ55_spl
| ~ sQ53_spl ),
inference(contradiction_clause,[status(thm)],[f3333]) ).
fof(f3339,plain,
( ~ sQ19_spl
| e13 != e13 ),
inference(forward_demodulation,[status(thm)],[f1112,f2908]) ).
fof(f3340,plain,
( ~ sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3339]) ).
fof(f3341,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3351,plain,
( sQ161_spl
| h2(op1(e12,e10)) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f294,f1667]) ).
fof(f3379,plain,
( sQ153_spl
| h2(e13) != op2(h2(e10),h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f1643]) ).
fof(f3380,plain,
( sQ153_spl
| h2(e13) != op2(e21,h2(e10)) ),
inference(forward_demodulation,[status(thm)],[f294,f3379]) ).
fof(f3381,plain,
( sQ153_spl
| h2(e13) != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f294,f3380]) ).
fof(f3382,plain,
( sQ153_spl
| h2(e13) != h2(e13) ),
inference(forward_demodulation,[status(thm)],[f297,f3381]) ).
fof(f3383,plain,
( sQ153_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3382]) ).
fof(f3384,plain,
sQ153_spl,
inference(contradiction_clause,[status(thm)],[f3383]) ).
fof(f3388,plain,
( sQ145_spl
| ~ sQ61_spl
| h1(e11) != op2(h1(e13),h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f1249,f1615]) ).
fof(f3389,plain,
( sQ145_spl
| ~ sQ61_spl
| h1(e11) != op2(e23,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3265,f3388]) ).
fof(f3390,plain,
( sQ145_spl
| ~ sQ61_spl
| h1(e11) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3265,f3389]) ).
fof(f3391,plain,
( sQ145_spl
| ~ sQ61_spl
| ~ sQ199_spl
| h1(e11) != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f3313,f3390]) ).
fof(f3404,plain,
e12 != op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f3222,f160]) ).
fof(f3405,plain,
( ~ sQ51_spl
| e12 = e13 ),
inference(forward_demodulation,[status(thm)],[f3222,f1216]) ).
fof(f3406,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3405,f217]) ).
fof(f3407,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f3406]) ).
fof(f3408,plain,
( ~ sQ49_spl
| e12 = e11 ),
inference(forward_demodulation,[status(thm)],[f3222,f1210]) ).
fof(f3409,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3408,f215]) ).
fof(f3410,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f3409]) ).
fof(f3414,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1109,f1103]) ).
fof(f3415,plain,
( ~ sQ16_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3414,f213]) ).
fof(f3416,plain,
( ~ sQ16_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f3415]) ).
fof(f3417,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| e13 = e10 ),
inference(forward_demodulation,[status(thm)],[f1242,f1233]) ).
fof(f3418,plain,
( ~ sQ56_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3417,f214]) ).
fof(f3419,plain,
( ~ sQ56_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f3418]) ).
fof(f3424,plain,
( ~ sQ48_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f3222,f1207]) ).
fof(f3425,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3424,f213]) ).
fof(f3426,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f3425]) ).
fof(f3436,plain,
( sQ144_spl
| h1(op1(e13,e12)) != op2(e23,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3265,f1612]) ).
fof(f3437,plain,
( sQ144_spl
| h1(op1(e13,e12)) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f3270,f3436]) ).
fof(f3439,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1333,f1330]) ).
fof(f3440,plain,
( ~ sQ76_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3439,f218]) ).
fof(f3441,plain,
( ~ sQ76_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f3440]) ).
fof(f3442,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f1323,f1320]) ).
fof(f3443,plain,
( ~ sQ73_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3442,f221]) ).
fof(f3444,plain,
( ~ sQ73_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3443]) ).
fof(f3446,plain,
( sQ114_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3228,f1454]) ).
fof(f3447,plain,
( sQ114_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3446]) ).
fof(f3448,plain,
sQ114_spl,
inference(contradiction_clause,[status(thm)],[f3447]) ).
fof(f3453,plain,
( ~ sQ84_spl
| h2(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f297,f1356]) ).
fof(f3454,plain,
( ~ sQ84_spl
| sQ241_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3453,f1947]) ).
fof(f3455,plain,
( ~ sQ84_spl
| sQ241_spl ),
inference(contradiction_clause,[status(thm)],[f3454]) ).
fof(f3456,plain,
( ~ sQ105_spl
| h3(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f301,f1424]) ).
fof(f3457,plain,
( ~ sQ105_spl
| sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f2015]) ).
fof(f3458,plain,
( ~ sQ105_spl
| sQ257_spl ),
inference(contradiction_clause,[status(thm)],[f3457]) ).
fof(f3459,plain,
( ~ sQ99_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1404,f2911]) ).
fof(f3460,plain,
~ sQ99_spl,
inference(contradiction_clause,[status(thm)],[f3459]) ).
fof(f3465,plain,
( ~ sQ113_spl
| e22 = e21 ),
inference(forward_demodulation,[status(thm)],[f3228,f1450]) ).
fof(f3466,plain,
( ~ sQ113_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3465,f221]) ).
fof(f3467,plain,
~ sQ113_spl,
inference(contradiction_clause,[status(thm)],[f3466]) ).
fof(f3473,plain,
( ~ sQ86_spl
| h2(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f297,f1362]) ).
fof(f3474,plain,
( ~ sQ86_spl
| sQ249_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3473,f1981]) ).
fof(f3475,plain,
( ~ sQ86_spl
| sQ249_spl ),
inference(contradiction_clause,[status(thm)],[f3474]) ).
fof(f3477,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1307,f1304]) ).
fof(f3478,plain,
( ~ sQ68_spl
| ~ sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3477,f218]) ).
fof(f3479,plain,
( ~ sQ68_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f3478]) ).
fof(f3480,plain,
( ~ sQ124_spl
| ~ sQ199_spl
| h4(e13) = e20 ),
inference(forward_demodulation,[status(thm)],[f3313,f1486]) ).
fof(f3481,plain,
( ~ sQ124_spl
| ~ sQ199_spl
| sQ265_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3480,f2049]) ).
fof(f3482,plain,
( ~ sQ124_spl
| ~ sQ199_spl
| sQ265_spl ),
inference(contradiction_clause,[status(thm)],[f3481]) ).
fof(f3483,plain,
( ~ sQ115_spl
| e22 = e23 ),
inference(forward_demodulation,[status(thm)],[f3228,f1456]) ).
fof(f3484,plain,
( ~ sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3483,f223]) ).
fof(f3485,plain,
~ sQ115_spl,
inference(contradiction_clause,[status(thm)],[f3484]) ).
fof(f3486,plain,
( ~ sQ126_spl
| ~ sQ199_spl
| h4(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f3313,f1492]) ).
fof(f3489,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1352,f2912]) ).
fof(f3490,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f3489]) ).
fof(f3491,plain,
( ~ sQ106_spl
| h3(e13) = e22 ),
inference(forward_demodulation,[status(thm)],[f301,f1427]) ).
fof(f3508,plain,
( sQ143_spl
| h1(op1(e13,e11)) != op2(e23,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3265,f1609]) ).
fof(f3509,plain,
( sQ142_spl
| h1(e12) != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3222,f1606]) ).
fof(f3510,plain,
( sQ142_spl
| e22 != op2(h1(e13),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3270,f3509]) ).
fof(f3511,plain,
( sQ142_spl
| e22 != op2(e23,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3265,f3510]) ).
fof(f3512,plain,
( sQ142_spl
| e22 != op2(e23,e20) ),
inference(forward_demodulation,[status(thm)],[f290,f3511]) ).
fof(f3513,plain,
( sQ142_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3228,f3512]) ).
fof(f3514,plain,
( sQ142_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3513]) ).
fof(f3515,plain,
sQ142_spl,
inference(contradiction_clause,[status(thm)],[f3514]) ).
fof(f3520,plain,
( sQ141_spl
| h1(op1(e12,e13)) != op2(e22,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f3270,f1603]) ).
fof(f3521,plain,
( sQ141_spl
| h1(op1(e12,e13)) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3265,f3520]) ).
fof(f3522,plain,
( sQ140_spl
| h1(op1(e12,e12)) != op2(e22,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3270,f1600]) ).
fof(f3523,plain,
( sQ140_spl
| h1(op1(e12,e12)) != op2(e22,e22) ),
inference(forward_demodulation,[status(thm)],[f3270,f3522]) ).
fof(f3524,plain,
( sQ140_spl
| h1(op1(e12,e12)) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f301,f3523]) ).
fof(f3525,plain,
( sQ139_spl
| h1(op1(e12,e11)) != op2(e22,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3270,f1597]) ).
fof(f3533,plain,
( sQ138_spl
| h1(op1(e12,e10)) != op2(e22,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3270,f1594]) ).
fof(f3534,plain,
( sQ138_spl
| h1(op1(e12,e10)) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f290,f3533]) ).
fof(f3545,plain,
( ~ sQ199_spl
| ~ sQ126_spl
| e22 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3486,f3313]) ).
fof(f3555,plain,
( sQ137_spl
| h1(op1(e11,e13)) != op2(h1(e11),e23) ),
inference(forward_demodulation,[status(thm)],[f3265,f1591]) ).
fof(f3556,plain,
( sQ136_spl
| h1(op1(e11,e12)) != op2(h1(e11),e22) ),
inference(forward_demodulation,[status(thm)],[f3270,f1588]) ).
fof(f3557,plain,
( sQ134_spl
| h1(op1(e11,e10)) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f290,f1582]) ).
fof(f3565,plain,
( sQ132_spl
| ~ sQ10_spl
| h1(e12) != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f1083,f1576]) ).
fof(f3566,plain,
( sQ132_spl
| ~ sQ10_spl
| e22 != op2(h1(e10),h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f3270,f3565]) ).
fof(f3567,plain,
( sQ132_spl
| ~ sQ10_spl
| e22 != op2(e20,h1(e12)) ),
inference(forward_demodulation,[status(thm)],[f290,f3566]) ).
fof(f3568,plain,
( sQ132_spl
| ~ sQ10_spl
| e22 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f3270,f3567]) ).
fof(f3569,plain,
( sQ132_spl
| ~ sQ10_spl
| ~ sQ74_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1323,f3568]) ).
fof(f3570,plain,
( sQ132_spl
| ~ sQ10_spl
| ~ sQ74_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3569]) ).
fof(f3571,plain,
( sQ132_spl
| ~ sQ10_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3570]) ).
fof(f3595,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| e12 = e10 ),
inference(forward_demodulation,[status(thm)],[f1083,f1077]) ).
fof(f3596,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3595,f213]) ).
fof(f3597,plain,
( ~ sQ8_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f3596]) ).
fof(f3617,plain,
( ~ sQ199_spl
| ~ sQ126_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f3545,f3225]) ).
fof(f3618,plain,
( ~ sQ199_spl
| ~ sQ126_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3617]) ).
fof(f3619,plain,
( ~ sQ199_spl
| ~ sQ126_spl ),
inference(contradiction_clause,[status(thm)],[f3618]) ).
fof(f3621,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f1145,f1148]) ).
fof(f3622,plain,
( ~ sQ30_spl
| ~ sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3621,f215]) ).
fof(f3623,plain,
( ~ sQ30_spl
| ~ sQ29_spl ),
inference(contradiction_clause,[status(thm)],[f3622]) ).
fof(f3624,plain,
( ~ sQ98_spl
| e21 = e22 ),
inference(forward_demodulation,[status(thm)],[f3224,f1401]) ).
fof(f3625,plain,
( ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3624,f221]) ).
fof(f3626,plain,
~ sQ98_spl,
inference(contradiction_clause,[status(thm)],[f3625]) ).
fof(f3627,plain,
( sQ33_spl
| e11 != e11 ),
inference(forward_demodulation,[status(thm)],[f3221,f1159]) ).
fof(f3628,plain,
( sQ33_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3627]) ).
fof(f3629,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f3628]) ).
fof(f3634,plain,
( ~ sQ26_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f3210,f1121,f1134]) ).
fof(f3635,plain,
( ~ sQ34_spl
| e11 = e12 ),
inference(forward_demodulation,[status(thm)],[f3221,f1161]) ).
fof(f3636,plain,
( ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3635,f215]) ).
fof(f3637,plain,
~ sQ34_spl,
inference(contradiction_clause,[status(thm)],[f3636]) ).
fof(f3638,plain,
( ~ sQ117_spl
| ~ sQ121_spl ),
inference(split_clause,[status(thm)],[f3241,f1475,f1462]) ).
fof(f3640,plain,
( ~ sQ124_spl
| ~ sQ92_spl ),
inference(split_clause,[status(thm)],[f3021,f1381,f1485]) ).
fof(f3641,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| e11 = e10 ),
inference(forward_demodulation,[status(thm)],[f1067,f1064]) ).
fof(f3642,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3641,f212]) ).
fof(f3643,plain,
( ~ sQ4_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f3642]) ).
fof(f3645,plain,
( sQ211_spl
| h4(e12) != op2(h4(e13),h4(e10)) ),
inference(forward_demodulation,[status(thm)],[f3222,f1825]) ).
fof(f3646,plain,
( sQ211_spl
| h4(e12) != op2(h4(e13),e23) ),
inference(forward_demodulation,[status(thm)],[f302,f3645]) ).
fof(f3647,plain,
( sQ207_spl
| h4(e11) != op2(h4(e12),e23) ),
inference(forward_demodulation,[status(thm)],[f3221,f2818]) ).
fof(f3650,plain,
( sQ188_spl
| h3(e12) != op2(h3(e13),e22) ),
inference(forward_demodulation,[status(thm)],[f3222,f3010]) ).
fof(f3651,plain,
( sQ184_spl
| h3(e11) != op2(h3(e12),e22) ),
inference(forward_demodulation,[status(thm)],[f3221,f3039]) ).
fof(f3664,plain,
( sQ161_spl
| h2(e11) != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f3221,f3351]) ).
fof(f3665,plain,
( sQ161_spl
| ~ sQ243_spl
| e21 != op2(h2(e12),e21) ),
inference(forward_demodulation,[status(thm)],[f1955,f3664]) ).
fof(f3676,plain,
( sQ138_spl
| h1(e11) != op2(e22,e20) ),
inference(forward_demodulation,[status(thm)],[f3221,f3534]) ).
fof(f3677,plain,
( sQ138_spl
| h1(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f3224,f3676]) ).
fof(f3679,plain,
( sQ133_spl
| h1(op1(e10,e13)) != op2(e20,h1(e13)) ),
inference(forward_demodulation,[status(thm)],[f290,f1579]) ).
fof(f3680,plain,
( sQ133_spl
| h1(op1(e10,e13)) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f3265,f3679]) ).
fof(f3683,plain,
( sQ130_spl
| h1(e13) != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f286,f1570]) ).
fof(f3684,plain,
( sQ130_spl
| e23 != op2(h1(e10),h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f3265,f3683]) ).
fof(f3685,plain,
( sQ130_spl
| e23 != op2(e20,h1(e10)) ),
inference(forward_demodulation,[status(thm)],[f290,f3684]) ).
fof(f3686,plain,
( sQ130_spl
| e23 != op2(e20,e20) ),
inference(forward_demodulation,[status(thm)],[f290,f3685]) ).
fof(f3687,plain,
( sQ130_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f289,f3686]) ).
fof(f3688,plain,
( sQ130_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3687]) ).
fof(f3689,plain,
sQ130_spl,
inference(contradiction_clause,[status(thm)],[f3688]) ).
fof(f3700,plain,
e11 != op1(e12,e13),
inference(forward_demodulation,[status(thm)],[f3221,f154]) ).
fof(f3713,plain,
( ~ sQ239_spl
| ~ sQ243_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f1955,f1938]) ).
fof(f3714,plain,
( ~ sQ239_spl
| ~ sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3713,f218]) ).
fof(f3715,plain,
( ~ sQ239_spl
| ~ sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f3714]) ).
fof(f3717,plain,
( sQ242_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f294,f1952]) ).
fof(f3718,plain,
( sQ242_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3717]) ).
fof(f3719,plain,
sQ242_spl,
inference(contradiction_clause,[status(thm)],[f3718]) ).
fof(f3724,plain,
( ~ sQ74_spl
| e22 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1323,f178]) ).
fof(f3733,plain,
( ~ sQ199_spl
| ~ sQ120_spl
| e20 != h4(e13) ),
inference(backward_demodulation,[status(thm)],[f1473,f3328]) ).
fof(f3745,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1197,f3700]) ).
fof(f3746,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f3745]) ).
fof(f3749,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1252,f3404]) ).
fof(f3750,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f3749]) ).
fof(f3751,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1187,f244]) ).
fof(f3752,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f3751]) ).
fof(f3754,plain,
( ~ sQ35_spl
| e11 = e13 ),
inference(forward_demodulation,[status(thm)],[f3221,f1164]) ).
fof(f3755,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3754,f216]) ).
fof(f3756,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f3755]) ).
fof(f3757,plain,
( sQ211_spl
| ~ sQ199_spl
| h4(e12) != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f3327,f3646]) ).
fof(f3758,plain,
( sQ211_spl
| ~ sQ199_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f3757]) ).
fof(f3759,plain,
( sQ211_spl
| ~ sQ199_spl ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3760,plain,
( ~ sQ96_spl
| e21 = e20 ),
inference(forward_demodulation,[status(thm)],[f3224,f1395]) ).
fof(f3761,plain,
( ~ sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3760,f218]) ).
fof(f3762,plain,
~ sQ96_spl,
inference(contradiction_clause,[status(thm)],[f3761]) ).
fof(f3768,plain,
( ~ sQ125_spl
| ~ sQ199_spl
| h4(e13) = e21 ),
inference(forward_demodulation,[status(thm)],[f3313,f1489]) ).
fof(f3769,plain,
( ~ sQ125_spl
| ~ sQ199_spl
| sQ269_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3768,f2066]) ).
fof(f3770,plain,
( ~ sQ125_spl
| ~ sQ199_spl
| sQ269_spl ),
inference(contradiction_clause,[status(thm)],[f3769]) ).
fof(f3775,plain,
( sQ131_spl
| h1(op1(e10,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f290,f1573]) ).
fof(f3779,plain,
( ~ sQ78_spl
| ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1336,f3181]) ).
fof(f3780,plain,
( ~ sQ78_spl
| ~ sQ74_spl ),
inference(contradiction_clause,[status(thm)],[f3779]) ).
fof(f3785,plain,
e12 != op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f3222,f159]) ).
fof(f3792,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| op2(e23,e22) != e21 ),
inference(backward_demodulation,[status(thm)],[f3768,f3328]) ).
fof(f3797,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| e21 = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3768,f3313]) ).
fof(f3799,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| h4(e12) = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f3768,f3327]) ).
fof(f3802,plain,
e11 != op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f3221,f152]) ).
fof(f3811,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1086,f2904]) ).
fof(f3812,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f3811]) ).
fof(f3820,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| op2(e21,e22) != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f3799,f199]) ).
fof(f3823,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| op2(e20,e23) != h4(e12) ),
inference(backward_demodulation,[status(thm)],[f3799,f182]) ).
fof(f3824,plain,
( ~ sQ110_spl
| ~ sQ111_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1443,f1440]) ).
fof(f3825,plain,
( ~ sQ110_spl
| ~ sQ111_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3824,f223]) ).
fof(f3826,plain,
( ~ sQ110_spl
| ~ sQ111_spl ),
inference(contradiction_clause,[status(thm)],[f3825]) ).
fof(f3829,plain,
( ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| h4(e12) = e23 ),
inference(forward_demodulation,[status(thm)],[f3799,f1391]) ).
fof(f3831,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl
| op2(e21,e22) != e23 ),
inference(backward_demodulation,[status(thm)],[f3829,f3820]) ).
fof(f3833,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl
| e23 = op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f3829,f3799]) ).
fof(f3836,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f3831,f1377,f1390,f1488,f1787]) ).
fof(f3840,plain,
( ~ sQ119_spl
| op2(e21,e21) != e23 ),
inference(backward_demodulation,[status(thm)],[f1469,f174]) ).
fof(f3843,plain,
( ~ sQ119_spl
| ~ sQ87_spl ),
inference(split_clause,[status(thm)],[f3840,f1364,f1468]) ).
fof(f3844,plain,
e21 != op2(e22,e22),
inference(forward_demodulation,[status(thm)],[f3224,f201]) ).
fof(f3845,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl
| ~ sQ94_spl
| e23 = e22 ),
inference(forward_demodulation,[status(thm)],[f1388,f3833]) ).
fof(f3846,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl
| ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3845,f223]) ).
fof(f3847,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl
| ~ sQ94_spl ),
inference(contradiction_clause,[status(thm)],[f3846]) ).
fof(f3908,plain,
( sQ134_spl
| ~ sQ16_spl
| h1(e10) != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f1103,f3557]) ).
fof(f3909,plain,
( sQ134_spl
| ~ sQ16_spl
| e20 != op2(h1(e11),e20) ),
inference(forward_demodulation,[status(thm)],[f290,f3908]) ).
fof(f3915,plain,
( ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1239,f3785]) ).
fof(f3916,plain,
~ sQ58_spl,
inference(contradiction_clause,[status(thm)],[f3915]) ).
fof(f3922,plain,
h1(e11) = e21,
inference(forward_demodulation,[status(thm)],[f3224,f3272]) ).
fof(f3923,plain,
( sQ231_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3922,f1905]) ).
fof(f3924,plain,
sQ231_spl,
inference(contradiction_clause,[status(thm)],[f3923]) ).
fof(f3931,plain,
( sQ207_spl
| ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| h4(e11) != op2(e23,e23) ),
inference(forward_demodulation,[status(thm)],[f3829,f3647]) ).
fof(f3932,plain,
( sQ207_spl
| ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| h4(e11) != e21 ),
inference(forward_demodulation,[status(thm)],[f3797,f3931]) ).
fof(f3950,plain,
( ~ sQ86_spl
| e22 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3473,f3290]) ).
fof(f3958,plain,
( ~ sQ100_spl
| op2(e21,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1408,f173]) ).
fof(f3962,plain,
( ~ sQ100_spl
| op2(e20,e21) != e20 ),
inference(backward_demodulation,[status(thm)],[f1408,f171]) ).
fof(f3963,plain,
( ~ sQ80_spl
| e20 != op2(e21,e22) ),
inference(backward_demodulation,[status(thm)],[f1343,f195]) ).
fof(f3970,plain,
( ~ sQ69_spl
| e21 != op2(e20,e23) ),
inference(backward_demodulation,[status(thm)],[f1307,f192]) ).
fof(f3997,plain,
( ~ sQ86_spl
| h2(e11) = op2(op2(e22,e21),e21) ),
inference(forward_demodulation,[status(thm)],[f3473,f3299]) ).
fof(f3998,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| h2(e11) = op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1408,f3997]) ).
fof(f3999,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| ~ sQ69_spl
| h2(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f1307,f3998]) ).
fof(f4000,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| ~ sQ69_spl
| sQ243_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3999,f1956]) ).
fof(f4001,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| ~ sQ69_spl
| sQ243_spl ),
inference(contradiction_clause,[status(thm)],[f4000]) ).
fof(f4008,plain,
( ~ sQ86_spl
| h2(e12) = op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3473,f3300]) ).
fof(f4009,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| h2(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f1408,f4008]) ).
fof(f4010,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| sQ240_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4009,f1943]) ).
fof(f4011,plain,
( ~ sQ86_spl
| ~ sQ100_spl
| sQ240_spl ),
inference(contradiction_clause,[status(thm)],[f4010]) ).
fof(f4014,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ76_spl
| e20 != h4(e12) ),
inference(forward_demodulation,[status(thm)],[f1330,f3823]) ).
fof(f4015,plain,
( ~ sQ86_spl
| ~ sQ94_spl ),
inference(split_clause,[status(thm)],[f3950,f1387,f1361]) ).
fof(f4025,plain,
( sQ165_spl
| ~ sQ240_spl
| ~ sQ86_spl
| e20 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f3473,f3319]) ).
fof(f4026,plain,
( sQ165_spl
| ~ sQ240_spl
| ~ sQ86_spl
| ~ sQ100_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1408,f4025]) ).
fof(f4027,plain,
( sQ165_spl
| ~ sQ240_spl
| ~ sQ86_spl
| ~ sQ100_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4026]) ).
fof(f4028,plain,
( sQ165_spl
| ~ sQ240_spl
| ~ sQ86_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f4027]) ).
fof(f4047,plain,
( ~ sQ121_spl
| ~ sQ199_spl
| ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1476,f3792]) ).
fof(f4048,plain,
( ~ sQ121_spl
| ~ sQ199_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f4047]) ).
fof(f4057,plain,
( ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| h4(e11) = op2(e23,e23) ),
inference(backward_demodulation,[status(thm)],[f3829,f3308]) ).
fof(f4058,plain,
( ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| h4(e11) = e21 ),
inference(forward_demodulation,[status(thm)],[f3797,f4057]) ).
fof(f4061,plain,
( ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| sQ207_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4058,f3932]) ).
fof(f4062,plain,
( ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| sQ207_spl ),
inference(contradiction_clause,[status(thm)],[f4061]) ).
fof(f4090,plain,
( sQ145_spl
| ~ sQ61_spl
| ~ sQ199_spl
| ~ sQ231_spl
| e21 != h4(e13) ),
inference(forward_demodulation,[status(thm)],[f1904,f3391]) ).
fof(f4091,plain,
( sQ145_spl
| ~ sQ61_spl
| ~ sQ199_spl
| ~ sQ231_spl
| ~ sQ125_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f3768,f4090]) ).
fof(f4092,plain,
( sQ145_spl
| ~ sQ61_spl
| ~ sQ199_spl
| ~ sQ231_spl
| ~ sQ125_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4091]) ).
fof(f4093,plain,
( sQ145_spl
| ~ sQ61_spl
| ~ sQ199_spl
| ~ sQ231_spl
| ~ sQ125_spl ),
inference(contradiction_clause,[status(thm)],[f4092]) ).
fof(f4107,plain,
( sQ143_spl
| ~ sQ231_spl
| h1(op1(e13,e11)) != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f1904,f3508]) ).
fof(f4108,plain,
( sQ140_spl
| ~ sQ43_spl
| h1(e13) != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f1190,f3524]) ).
fof(f4109,plain,
( sQ140_spl
| ~ sQ43_spl
| e23 != h3(e13) ),
inference(forward_demodulation,[status(thm)],[f3265,f4108]) ).
fof(f4110,plain,
( sQ139_spl
| ~ sQ231_spl
| h1(op1(e12,e11)) != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f1904,f3525]) ).
fof(f4111,plain,
( sQ139_spl
| ~ sQ231_spl
| ~ sQ100_spl
| h1(op1(e12,e11)) != e20 ),
inference(forward_demodulation,[status(thm)],[f1408,f4110]) ).
fof(f4112,plain,
( sQ138_spl
| ~ sQ231_spl ),
inference(split_clause,[status(thm)],[f3677,f1903,f1592]) ).
fof(f4113,plain,
( sQ137_spl
| ~ sQ231_spl
| h1(op1(e11,e13)) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1904,f3555]) ).
fof(f4114,plain,
( sQ136_spl
| ~ sQ231_spl
| h1(op1(e11,e12)) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1904,f3556]) ).
fof(f4119,plain,
( sQ134_spl
| ~ sQ16_spl
| ~ sQ231_spl
| e20 != op2(e21,e20) ),
inference(forward_demodulation,[status(thm)],[f1904,f3909]) ).
fof(f4120,plain,
( sQ134_spl
| ~ sQ16_spl
| ~ sQ231_spl
| ~ sQ80_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1343,f4119]) ).
fof(f4121,plain,
( sQ134_spl
| ~ sQ16_spl
| ~ sQ231_spl
| ~ sQ80_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4120]) ).
fof(f4122,plain,
( sQ134_spl
| ~ sQ16_spl
| ~ sQ231_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f4121]) ).
fof(f4123,plain,
( ~ sQ69_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f3970,f1332,f1306]) ).
fof(f4124,plain,
( ~ sQ100_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f3958,f1355,f1407]) ).
fof(f4125,plain,
( ~ sQ84_spl
| ~ sQ86_spl
| e22 = e20 ),
inference(forward_demodulation,[status(thm)],[f3473,f3453]) ).
fof(f4126,plain,
( ~ sQ84_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4125,f219]) ).
fof(f4127,plain,
( ~ sQ84_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f4126]) ).
fof(f4129,plain,
( ~ sQ103_spl
| ~ sQ100_spl
| e20 = e23 ),
inference(forward_demodulation,[status(thm)],[f1408,f1417]) ).
fof(f4130,plain,
( ~ sQ103_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4129,f220]) ).
fof(f4131,plain,
( ~ sQ103_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f4130]) ).
fof(f4143,plain,
( ~ sQ74_spl
| ~ sQ122_spl ),
inference(split_clause,[status(thm)],[f3724,f1478,f1322]) ).
fof(f4145,plain,
( ~ sQ199_spl
| ~ sQ120_spl
| ~ sQ265_spl ),
inference(split_clause,[status(thm)],[f3733,f2047,f1472,f1787]) ).
fof(f4146,plain,
( ~ sQ106_spl
| sQ261_spl ),
inference(split_clause,[status(thm)],[f3491,f2030,f1426]) ).
fof(f4154,plain,
e21 != h3(e13),
inference(backward_demodulation,[status(thm)],[f301,f3844]) ).
fof(f4159,plain,
( ~ sQ261_spl
| e22 = op2(e22,e22) ),
inference(backward_demodulation,[status(thm)],[f2031,f301]) ).
fof(f4164,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f2903]) ).
fof(f4165,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f4164]) ).
fof(f4172,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1073,f2905]) ).
fof(f4173,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f4172]) ).
fof(f4180,plain,
( ~ sQ86_spl
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f3473,f297]) ).
fof(f4189,plain,
( sQ203_spl
| ~ sQ16_spl
| ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| e23 != op2(e21,e23) ),
inference(backward_demodulation,[status(thm)],[f4058,f3091]) ).
fof(f4191,plain,
( sQ203_spl
| ~ sQ16_spl
| ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4189,f1390,f1488,f1787,f1102,f1799]) ).
fof(f4285,plain,
( sQ136_spl
| ~ sQ231_spl
| ~ sQ25_spl
| h1(e11) != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1132,f4114]) ).
fof(f4286,plain,
( sQ136_spl
| ~ sQ231_spl
| ~ sQ25_spl
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[status(thm)],[f1904,f4285]) ).
fof(f4287,plain,
( sQ136_spl
| ~ sQ231_spl
| ~ sQ25_spl
| ~ sQ89_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1372,f4286]) ).
fof(f4288,plain,
( sQ136_spl
| ~ sQ231_spl
| ~ sQ25_spl
| ~ sQ89_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4287]) ).
fof(f4289,plain,
( sQ136_spl
| ~ sQ231_spl
| ~ sQ25_spl
| ~ sQ89_spl ),
inference(contradiction_clause,[status(thm)],[f4288]) ).
fof(f4291,plain,
( ~ sQ100_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f3962,f1303,f1407]) ).
fof(f4353,plain,
( ~ sQ80_spl
| ~ sQ88_spl ),
inference(split_clause,[status(thm)],[f3963,f1368,f1342]) ).
fof(f4358,plain,
( sQ161_spl
| ~ sQ243_spl
| ~ sQ86_spl
| ~ sQ100_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f4009,f3665]) ).
fof(f4364,plain,
( ~ sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1466,f3227]) ).
fof(f4365,plain,
~ sQ118_spl,
inference(contradiction_clause,[status(thm)],[f4364]) ).
fof(f4382,plain,
( ~ sQ257_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2014,f4154]) ).
fof(f4383,plain,
~ sQ257_spl,
inference(contradiction_clause,[status(thm)],[f4382]) ).
fof(f4384,plain,
( ~ sQ95_spl
| ~ sQ199_spl
| ~ sQ125_spl
| sQ267_spl ),
inference(split_clause,[status(thm)],[f4058,f2056,f1488,f1787,f1390]) ).
fof(f4387,plain,
( ~ sQ199_spl
| ~ sQ125_spl
| ~ sQ76_spl
| ~ sQ264_spl ),
inference(split_clause,[status(thm)],[f4014,f2043,f1329,f1488,f1787]) ).
fof(f4388,plain,
( sQ161_spl
| ~ sQ243_spl
| ~ sQ86_spl
| ~ sQ100_spl
| ~ sQ69_spl ),
inference(split_clause,[status(thm)],[f4358,f1306,f1407,f1361,f1954,f1665]) ).
fof(f4413,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1171,f3802]) ).
fof(f4414,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f4413]) ).
fof(f4489,plain,
( ~ sQ86_spl
| op2(e20,e21) != e22 ),
inference(backward_demodulation,[status(thm)],[f4180,f170]) ).
fof(f4503,plain,
( ~ sQ76_spl
| e20 != op2(e22,e23) ),
inference(backward_demodulation,[status(thm)],[f1330,f183]) ).
fof(f4513,plain,
( ~ sQ86_spl
| e22 != op2(e22,e21) ),
inference(forward_demodulation,[status(thm)],[f4180,f173]) ).
fof(f4540,plain,
( sQ188_spl
| ~ sQ107_spl
| h3(e12) != op2(e23,e22) ),
inference(backward_demodulation,[status(thm)],[f4543,f3650]) ).
fof(f4543,plain,
( ~ sQ107_spl
| h3(e13) = e23 ),
inference(forward_demodulation,[status(thm)],[f1430,f301]) ).
fof(f4544,plain,
( sQ188_spl
| ~ sQ107_spl
| ~ sQ120_spl
| h3(e12) != e20 ),
inference(forward_demodulation,[status(thm)],[f1473,f4540]) ).
fof(f4626,plain,
( sQ143_spl
| ~ sQ231_spl
| ~ sQ55_spl
| h1(e13) != op2(e23,e21) ),
inference(backward_demodulation,[status(thm)],[f1229,f4107]) ).
fof(f4627,plain,
( sQ143_spl
| ~ sQ231_spl
| ~ sQ55_spl
| e23 != op2(e23,e21) ),
inference(forward_demodulation,[status(thm)],[f3265,f4626]) ).
fof(f4637,plain,
( ~ sQ107_spl
| h3(e12) = op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f4543,f3294]) ).
fof(f4638,plain,
( ~ sQ107_spl
| ~ sQ120_spl
| h3(e12) = e20 ),
inference(forward_demodulation,[status(thm)],[f1473,f4637]) ).
fof(f4639,plain,
( ~ sQ107_spl
| ~ sQ120_spl
| sQ252_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4638,f1994]) ).
fof(f4640,plain,
( ~ sQ107_spl
| ~ sQ120_spl
| sQ252_spl ),
inference(contradiction_clause,[status(thm)],[f4639]) ).
fof(f4645,plain,
( sQ188_spl
| ~ sQ107_spl
| ~ sQ120_spl
| ~ sQ252_spl ),
inference(split_clause,[status(thm)],[f4544,f1992,f1472,f1429,f1750]) ).
fof(f4714,plain,
( sQ143_spl
| ~ sQ231_spl
| ~ sQ55_spl
| ~ sQ119_spl ),
inference(split_clause,[status(thm)],[f4627,f1468,f1228,f1903,f1607]) ).
fof(f4719,plain,
( sQ141_spl
| ~ sQ46_spl
| h1(e12) != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f1200,f3521]) ).
fof(f4720,plain,
( sQ141_spl
| ~ sQ46_spl
| e22 != op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f3270,f4719]) ).
fof(f4721,plain,
( sQ141_spl
| ~ sQ46_spl
| ~ sQ110_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f1440,f4720]) ).
fof(f4722,plain,
( sQ141_spl
| ~ sQ46_spl
| ~ sQ110_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4721]) ).
fof(f4723,plain,
( sQ141_spl
| ~ sQ46_spl
| ~ sQ110_spl ),
inference(contradiction_clause,[status(thm)],[f4722]) ).
fof(f4728,plain,
( sQ140_spl
| ~ sQ43_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4543,f4109]) ).
fof(f4729,plain,
( sQ140_spl
| ~ sQ43_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4728]) ).
fof(f4730,plain,
( sQ140_spl
| ~ sQ43_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f4729]) ).
fof(f4735,plain,
( sQ139_spl
| ~ sQ231_spl
| ~ sQ100_spl
| ~ sQ36_spl
| h1(e10) != e20 ),
inference(forward_demodulation,[status(thm)],[f1168,f4111]) ).
fof(f4736,plain,
( sQ139_spl
| ~ sQ231_spl
| ~ sQ100_spl
| ~ sQ36_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f290,f4735]) ).
fof(f4737,plain,
( sQ139_spl
| ~ sQ231_spl
| ~ sQ100_spl
| ~ sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4736]) ).
fof(f4738,plain,
( sQ139_spl
| ~ sQ231_spl
| ~ sQ100_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4737]) ).
fof(f4743,plain,
( sQ137_spl
| ~ sQ231_spl
| ~ sQ31_spl
| h1(e13) != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f1151,f4113]) ).
fof(f4744,plain,
( sQ137_spl
| ~ sQ231_spl
| ~ sQ31_spl
| e23 != op2(e21,e23) ),
inference(forward_demodulation,[status(thm)],[f3265,f4743]) ).
fof(f4752,plain,
( sQ135_spl
| ~ sQ22_spl
| h1(e12) != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1122,f1585]) ).
fof(f4753,plain,
( sQ135_spl
| ~ sQ22_spl
| e22 != op2(h1(e11),h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f3270,f4752]) ).
fof(f4754,plain,
( sQ135_spl
| ~ sQ22_spl
| ~ sQ231_spl
| e22 != op2(e21,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1904,f4753]) ).
fof(f4755,plain,
( sQ135_spl
| ~ sQ22_spl
| ~ sQ231_spl
| e22 != op2(e21,e21) ),
inference(forward_demodulation,[status(thm)],[f1904,f4754]) ).
fof(f4756,plain,
( sQ135_spl
| ~ sQ22_spl
| ~ sQ231_spl
| ~ sQ86_spl
| e22 != e22 ),
inference(forward_demodulation,[status(thm)],[f4180,f4755]) ).
fof(f4757,plain,
( sQ135_spl
| ~ sQ22_spl
| ~ sQ231_spl
| ~ sQ86_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4756]) ).
fof(f4758,plain,
( sQ135_spl
| ~ sQ22_spl
| ~ sQ231_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f4757]) ).
fof(f4763,plain,
( sQ133_spl
| ~ sQ12_spl
| h1(e10) != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f1090,f3680]) ).
fof(f4764,plain,
( sQ133_spl
| ~ sQ12_spl
| e20 != op2(e20,e23) ),
inference(forward_demodulation,[status(thm)],[f290,f4763]) ).
fof(f4765,plain,
( sQ133_spl
| ~ sQ12_spl
| ~ sQ76_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1330,f4764]) ).
fof(f4766,plain,
( sQ133_spl
| ~ sQ12_spl
| ~ sQ76_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4765]) ).
fof(f4767,plain,
( sQ133_spl
| ~ sQ12_spl
| ~ sQ76_spl ),
inference(contradiction_clause,[status(thm)],[f4766]) ).
fof(f4772,plain,
( sQ131_spl
| ~ sQ5_spl
| h1(e11) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1067,f3775]) ).
fof(f4773,plain,
( sQ131_spl
| ~ sQ5_spl
| ~ sQ231_spl
| e21 != op2(e20,h1(e11)) ),
inference(forward_demodulation,[status(thm)],[f1904,f4772]) ).
fof(f4774,plain,
( sQ131_spl
| ~ sQ5_spl
| ~ sQ231_spl
| e21 != op2(e20,e21) ),
inference(forward_demodulation,[status(thm)],[f1904,f4773]) ).
fof(f4775,plain,
( sQ131_spl
| ~ sQ5_spl
| ~ sQ231_spl
| ~ sQ69_spl
| e21 != e21 ),
inference(forward_demodulation,[status(thm)],[f1307,f4774]) ).
fof(f4776,plain,
( sQ131_spl
| ~ sQ5_spl
| ~ sQ231_spl
| ~ sQ69_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4775]) ).
fof(f4777,plain,
( sQ131_spl
| ~ sQ5_spl
| ~ sQ231_spl
| ~ sQ69_spl ),
inference(contradiction_clause,[status(thm)],[f4776]) ).
fof(f4786,plain,
( sQ144_spl
| ~ sQ56_spl
| h1(e10) != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1233,f3437]) ).
fof(f4787,plain,
( sQ144_spl
| ~ sQ56_spl
| e20 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f290,f4786]) ).
fof(f4788,plain,
( sQ144_spl
| ~ sQ56_spl
| ~ sQ120_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f1473,f4787]) ).
fof(f4789,plain,
( sQ144_spl
| ~ sQ56_spl
| ~ sQ120_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4788]) ).
fof(f4790,plain,
( sQ144_spl
| ~ sQ56_spl
| ~ sQ120_spl ),
inference(contradiction_clause,[status(thm)],[f4789]) ).
fof(f4794,plain,
( ~ sQ69_spl
| e21 != op2(e20,e22) ),
inference(forward_demodulation,[status(thm)],[f1307,f191]) ).
fof(f4799,plain,
( ~ sQ86_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f4489,f1309,f1361]) ).
fof(f4813,plain,
( sQ226_spl
| e20 != e20 ),
inference(forward_demodulation,[status(thm)],[f290,f1884]) ).
fof(f4814,plain,
( sQ226_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f4813]) ).
fof(f4815,plain,
sQ226_spl,
inference(contradiction_clause,[status(thm)],[f4814]) ).
fof(f4816,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| e10 = e12 ),
inference(forward_demodulation,[status(thm)],[f1168,f1174]) ).
fof(f4817,plain,
( ~ sQ38_spl
| ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4816,f213]) ).
fof(f4818,plain,
( ~ sQ38_spl
| ~ sQ36_spl ),
inference(contradiction_clause,[status(thm)],[f4817]) ).
fof(f4961,plain,
( ~ sQ261_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f4159,f266]) ).
fof(f4962,plain,
~ sQ261_spl,
inference(contradiction_clause,[status(thm)],[f4961]) ).
fof(f4999,plain,
( ~ sQ69_spl
| ~ sQ73_spl ),
inference(split_clause,[status(thm)],[f4794,f1319,f1306]) ).
fof(f5015,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1408,f1414]) ).
fof(f5016,plain,
( ~ sQ102_spl
| ~ sQ100_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5015,f219]) ).
fof(f5017,plain,
( ~ sQ102_spl
| ~ sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f5016]) ).
fof(f5033,plain,
( sQ137_spl
| ~ sQ231_spl
| ~ sQ31_spl
| ~ sQ95_spl ),
inference(split_clause,[status(thm)],[f4744,f1390,f1150,f1903,f1589]) ).
fof(f5063,plain,
( sQ198_spl
| ~ sQ107_spl
| e23 != e23 ),
inference(forward_demodulation,[status(thm)],[f4543,f1785]) ).
fof(f5064,plain,
( sQ198_spl
| ~ sQ107_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5063]) ).
fof(f5065,plain,
( sQ198_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5064]) ).
fof(f5109,plain,
( ~ sQ272_spl
| h4(e11) = op2(e22,e23) ),
inference(forward_demodulation,[status(thm)],[f2078,f3308]) ).
fof(f5127,plain,
( ~ sQ110_spl
| ~ sQ272_spl
| h4(e11) = e22 ),
inference(forward_demodulation,[status(thm)],[f5109,f1440]) ).
fof(f5128,plain,
( ~ sQ110_spl
| ~ sQ272_spl
| sQ271_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5127,f2075]) ).
fof(f5129,plain,
( ~ sQ110_spl
| ~ sQ272_spl
| sQ271_spl ),
inference(contradiction_clause,[status(thm)],[f5128]) ).
fof(f5140,plain,
( ~ sQ107_spl
| e23 != op2(e23,e22) ),
inference(forward_demodulation,[status(thm)],[f1430,f181]) ).
fof(f5147,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1313,f3006]) ).
fof(f5148,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f5147]) ).
fof(f5156,plain,
( sQ184_spl
| h3(e11) != h3(e11) ),
inference(forward_demodulation,[status(thm)],[f3293,f3651]) ).
fof(f5157,plain,
( sQ184_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f5156]) ).
fof(f5158,plain,
sQ184_spl,
inference(contradiction_clause,[status(thm)],[f5157]) ).
fof(f5169,plain,
( ~ sQ123_spl
| ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1482,f5140]) ).
fof(f5170,plain,
( ~ sQ123_spl
| ~ sQ107_spl ),
inference(contradiction_clause,[status(thm)],[f5169]) ).
fof(f5173,plain,
( ~ sQ86_spl
| ~ sQ102_spl ),
inference(split_clause,[status(thm)],[f4513,f1413,f1361]) ).
fof(f5181,plain,
( ~ sQ76_spl
| ~ sQ108_spl ),
inference(split_clause,[status(thm)],[f4503,f1433,f1329]) ).
fof(f5185,plain,
( ~ sQ82_spl
| ~ sQ80_spl
| e20 = e22 ),
inference(forward_demodulation,[status(thm)],[f1343,f1349]) ).
fof(f5186,plain,
( ~ sQ82_spl
| ~ sQ80_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5185,f219]) ).
fof(f5187,plain,
( ~ sQ82_spl
| ~ sQ80_spl ),
inference(contradiction_clause,[status(thm)],[f5186]) ).
fof(f5188,plain,
$false,
inference(sat_refutation,[status(thm)],[f1062,f1127,f1140,f1218,f1244,f1258,f1259,f1267,f1268,f1269,f1275,f1278,f1279,f1281,f1284,f1288,f1289,f1302,f1315,f1328,f1341,f1367,f1393,f1419,f1432,f1484,f1497,f1498,f1499,f1500,f1501,f1502,f1508,f1509,f1510,f1511,f1512,f1514,f1518,f1519,f1520,f1522,f1525,f1528,f1529,f1539,f1543,f1547,f1552,f1557,f1558,f1561,f1640,f1866,f1877,f1880,f1885,f1906,f1927,f1944,f1948,f1953,f1982,f1995,f2008,f2017,f2021,f2051,f2067,f2085,f2092,f2100,f2110,f2112,f2118,f2120,f2125,f2132,f2139,f2146,f2147,f2148,f2153,f2155,f2160,f2162,f2167,f2174,f2182,f2188,f2191,f2195,f2197,f2202,f2203,f2205,f2209,f2216,f2230,f2232,f2237,f2239,f2244,f2247,f2251,f2258,f2272,f2274,f2279,f2281,f2286,f2288,f2293,f2300,f2314,f2316,f2321,f2323,f2328,f2329,f2330,f2335,f2336,f2342,f2356,f2357,f2358,f2363,f2365,f2370,f2372,f2377,f2384,f2385,f2398,f2401,f2405,f2406,f2408,f2412,f2414,f2419,f2427,f2440,f2442,f2447,f2448,f2449,f2454,f2456,f2461,f2482,f2484,f2489,f2492,f2496,f2499,f2503,f2524,f2526,f2531,f2533,f2538,f2540,f2545,f2566,f2567,f2568,f2573,f2575,f2580,f2581,f2582,f2587,f2608,f2611,f2616,f2617,f2622,f2624,f2625,f2629,f2649,f2652,f2658,f2661,f2662,f2670,f2682,f2683,f2684,f2689,f2699,f2700,f2708,f2722,f2732,f2750,f2753,f2757,f2764,f2770,f2776,f2779,f2786,f2793,f2796,f2799,f2803,f2821,f2837,f2843,f2851,f2858,f2877,f2892,f2895,f2900,f2914,f2916,f2933,f2941,f2953,f2956,f2961,f2965,f2970,f2976,f2981,f2993,f3013,f3020,f3044,f3052,f3056,f3061,f3065,f3066,f3071,f3073,f3076,f3080,f3082,f3092,f3093,f3101,f3118,f3134,f3144,f3148,f3149,f3163,f3167,f3175,f3191,f3193,f3198,f3207,f3217,f3242,f3254,f3264,f3268,f3279,f3283,f3310,f3323,f3334,f3341,f3384,f3407,f3410,f3416,f3419,f3426,f3441,f3444,f3448,f3455,f3458,f3460,f3467,f3475,f3479,f3482,f3485,f3490,f3515,f3571,f3597,f3619,f3623,f3626,f3629,f3634,f3637,f3638,f3640,f3643,f3689,f3715,f3719,f3746,f3750,f3752,f3756,f3759,f3762,f3770,f3780,f3812,f3826,f3836,f3843,f3847,f3916,f3924,f4001,f4011,f4015,f4028,f4048,f4062,f4093,f4112,f4122,f4123,f4124,f4127,f4131,f4143,f4145,f4146,f4165,f4173,f4191,f4289,f4291,f4353,f4365,f4383,f4384,f4387,f4388,f4414,f4640,f4645,f4714,f4723,f4730,f4738,f4758,f4767,f4777,f4790,f4799,f4815,f4818,f4962,f4999,f5017,f5033,f5065,f5129,f5148,f5158,f5170,f5173,f5181,f5187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ALG124+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n015.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 13:00:36 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.49 % Drodi V4.1.1
% 0.27/0.79 % Refutation found
% 0.27/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.25/0.85 % Elapsed time: 0.387430 seconds
% 2.25/0.85 % CPU time: 2.456200 seconds
% 2.25/0.85 % Total memory used: 160.187 MB
% 2.25/0.85 % Net memory used: 159.187 MB
%------------------------------------------------------------------------------