TSTP Solution File: ALG123+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG123+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:03 EDT 2024
% Result : Theorem 0.17s 0.57s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 262
% Syntax : Number of formulae : 1341 ( 167 unt; 0 def)
% Number of atoms : 9184 (7067 equ)
% Maximal formula atoms : 180 ( 6 avg)
% Number of connectives : 14135 (6292 ~;4869 |;2729 &)
% ( 203 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 247 ( 245 usr; 246 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(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e12) = e12
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e13) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e22) = e22
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e23) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e13,e13)
& e11 = op1(op1(op1(e13,e13),e13),e13)
& e12 = op1(op1(e13,e13),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e23,e23)
& e21 = op2(op2(op2(e23,e23),e23),e23)
& e22 = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,e20)
& h1(e11) = op2(op2(op2(e20,e20),e20),e20)
& h1(e12) = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,e21)
& h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& h2(e12) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,e22)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& h3(e12) = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,e23)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& h4(e12) = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f23,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f44,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f45,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f58,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f78,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f85,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f87,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f89,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f90,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f92,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f93,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f95,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f97,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f103,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f113,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f240,plain,
( pd0_0
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e12) = e12
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( ( pd0_0
| ( op1(e13,e13) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( pd0_0
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f247,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f249,plain,
( op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f251,plain,
( op1(e10,e10) != e13
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f252,plain,
( op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f254,plain,
( op1(e11,e11) != e12
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f256,plain,
( op1(e12,e12) != e10
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f259,plain,
( op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f260,plain,
( op1(e13,e13) != e10
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f264,plain,
( pd0_1
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e22) = e22
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f265,plain,
( ( pd0_1
| ( op2(e23,e23) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
inference(formula_renaming,[status(thm)],[f11,f264]) ).
fof(f266,plain,
( pd0_1
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f271,plain,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f273,plain,
( op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f276,plain,
( op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f278,plain,
( op2(e21,e21) != e22
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f280,plain,
( op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f281,plain,
( op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f283,plain,
( op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f284,plain,
( op2(e23,e23) != e20
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f288,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f289,plain,
e11 = op1(op1(op1(e13,e13),e13),e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f290,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f291,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f292,plain,
e21 = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f293,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f294,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f295,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f296,plain,
h1(e11) = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f297,plain,
h1(e12) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f298,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f299,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f300,plain,
h2(e11) = op2(op2(op2(e21,e21),e21),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f301,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f302,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f303,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f304,plain,
h3(e11) = op2(op2(op2(e22,e22),e22),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f305,plain,
h3(e12) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f306,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f307,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f308,plain,
h4(e11) = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f309,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f310,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f311,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f312,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f313,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f314,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f315,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f316,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f317,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f318,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f319,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f320,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f321,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f322,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f323,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_2
| pd0_3
| pd0_4
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f310,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311]) ).
fof(f334,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| h3(e12) != e23 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f340,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e12) = e12
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f341,plain,
( pd0_14
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(predicate_definition,[f340]) ).
fof(f342,plain,
( ~ pd0_0
| pd0_14
| ( op1(e13,e12) = e12
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f340,f341]) ).
fof(f343,plain,
( ~ pd0_0
| pd0_14
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f342]) ).
fof(f348,plain,
( ~ pd0_1
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e22) = e22
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f264]) ).
fof(f349,plain,
( pd0_15
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(predicate_definition,[f348]) ).
fof(f350,plain,
( ~ pd0_1
| pd0_15
| ( op2(e23,e22) = e22
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f348,f349]) ).
fof(f351,plain,
( ~ pd0_1
| pd0_15
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f356,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f311]) ).
fof(f360,plain,
( ~ pd0_2
| h1(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f356]) ).
fof(f361,plain,
( ~ pd0_3
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f362,plain,
( ~ pd0_3
| h1(e10) != e21 ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f376,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f315]) ).
fof(f380,plain,
( ~ pd0_6
| h2(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f376]) ).
fof(f386,plain,
( ~ pd0_8
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f317]) ).
fof(f387,plain,
( ~ pd0_8
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f391,plain,
( ~ pd0_9
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f318]) ).
fof(f393,plain,
( ~ pd0_9
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f396,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f319]) ).
fof(f400,plain,
( ~ pd0_10
| h3(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f396]) ).
fof(f401,plain,
( ~ pd0_11
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f320]) ).
fof(f402,plain,
( ~ pd0_11
| h4(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f401]) ).
fof(f406,plain,
( ~ pd0_12
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f321]) ).
fof(f408,plain,
( ~ pd0_12
| h4(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f406]) ).
fof(f411,plain,
( ~ pd0_13
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f322]) ).
fof(f414,plain,
( ~ pd0_13
| h4(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f411]) ).
fof(f416,plain,
( ~ pd0_14
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f341]) ).
fof(f417,plain,
( pd0_16
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(predicate_definition,[f416]) ).
fof(f418,plain,
( ~ pd0_14
| pd0_16
| ( op1(e13,e11) = e11
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f416,f417]) ).
fof(f419,plain,
( ~ pd0_14
| pd0_16
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f418]) ).
fof(f424,plain,
( ~ pd0_15
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f349]) ).
fof(f425,plain,
( pd0_17
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(predicate_definition,[f424]) ).
fof(f426,plain,
( ~ pd0_15
| pd0_17
| ( op2(e23,e21) = e21
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f424,f425]) ).
fof(f427,plain,
( ~ pd0_15
| pd0_17
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f426]) ).
fof(f432,plain,
( ~ pd0_16
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f417]) ).
fof(f433,plain,
( pd0_18
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f432]) ).
fof(f434,plain,
( ~ pd0_16
| pd0_18
| ( op1(e13,e10) = e10
& ( op1(e10,e10) != e13
| op1(e10,e13) != e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) != e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f432,f433]) ).
fof(f435,plain,
( ~ pd0_16
| pd0_18
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f434]) ).
fof(f440,plain,
( ~ pd0_17
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f425]) ).
fof(f441,plain,
( pd0_19
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f440]) ).
fof(f442,plain,
( ~ pd0_17
| pd0_19
| ( op2(e23,e20) = e20
& ( op2(e20,e20) != e23
| op2(e20,e23) != e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) != e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f440,f441]) ).
fof(f443,plain,
( ~ pd0_17
| pd0_19
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f442]) ).
fof(f448,plain,
( ~ pd0_18
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f433]) ).
fof(f449,plain,
( pd0_20
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f448]) ).
fof(f450,plain,
( ~ pd0_18
| pd0_20
| ( op1(e12,e13) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f448,f449]) ).
fof(f451,plain,
( ~ pd0_18
| pd0_20
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f456,plain,
( ~ pd0_19
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f441]) ).
fof(f457,plain,
( pd0_21
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f456]) ).
fof(f458,plain,
( ~ pd0_19
| pd0_21
| ( op2(e22,e23) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f456,f457]) ).
fof(f459,plain,
( ~ pd0_19
| pd0_21
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f464,plain,
( ~ pd0_20
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f449]) ).
fof(f465,plain,
( pd0_22
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f464]) ).
fof(f466,plain,
( ~ pd0_20
| pd0_22
| ( op1(e12,e12) = e12
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f464,f465]) ).
fof(f467,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f466]) ).
fof(f470,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f466]) ).
fof(f472,plain,
( ~ pd0_21
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f457]) ).
fof(f473,plain,
( pd0_23
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f472]) ).
fof(f474,plain,
( ~ pd0_21
| pd0_23
| ( op2(e22,e22) = e22
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f472,f473]) ).
fof(f475,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f474]) ).
fof(f478,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f474]) ).
fof(f480,plain,
( ~ pd0_22
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) )
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f465]) ).
fof(f481,plain,
( pd0_24
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f480]) ).
fof(f482,plain,
( ~ pd0_22
| pd0_24
| ( op1(e12,e11) = e11
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f480,f481]) ).
fof(f483,plain,
( ~ pd0_22
| pd0_24
| op1(e12,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f482]) ).
fof(f488,plain,
( ~ pd0_23
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) )
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f473]) ).
fof(f489,plain,
( pd0_25
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f488]) ).
fof(f490,plain,
( ~ pd0_23
| pd0_25
| ( op2(e22,e21) = e21
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f488,f489]) ).
fof(f491,plain,
( ~ pd0_23
| pd0_25
| op2(e22,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f490]) ).
fof(f496,plain,
( ~ pd0_24
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f481]) ).
fof(f497,plain,
( pd0_26
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f496]) ).
fof(f498,plain,
( ~ pd0_24
| pd0_26
| ( op1(e12,e10) = e10
& ( op1(e10,e10) != e12
| op1(e10,e12) != e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f496,f497]) ).
fof(f499,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f498]) ).
fof(f502,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f498]) ).
fof(f504,plain,
( ~ pd0_25
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f489]) ).
fof(f505,plain,
( pd0_27
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f504]) ).
fof(f506,plain,
( ~ pd0_25
| pd0_27
| ( op2(e22,e20) = e20
& ( op2(e20,e20) != e22
| op2(e20,e22) != e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f504,f505]) ).
fof(f507,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f506]) ).
fof(f510,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f506]) ).
fof(f512,plain,
( ~ pd0_26
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f497]) ).
fof(f513,plain,
( pd0_28
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f512]) ).
fof(f514,plain,
( ~ pd0_26
| pd0_28
| ( op1(e11,e13) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f512,f513]) ).
fof(f517,plain,
( ~ pd0_26
| pd0_28
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f514]) ).
fof(f520,plain,
( ~ pd0_27
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f505]) ).
fof(f521,plain,
( pd0_29
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f520]) ).
fof(f522,plain,
( ~ pd0_27
| pd0_29
| ( op2(e21,e23) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f520,f521]) ).
fof(f524,plain,
( ~ pd0_27
| pd0_29
| op2(e20,e20) != e21
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f528,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f513]) ).
fof(f529,plain,
( pd0_30
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f528]) ).
fof(f530,plain,
( ~ pd0_28
| pd0_30
| ( op1(e11,e12) = e12
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f528,f529]) ).
fof(f531,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f533,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f530]) ).
fof(f536,plain,
( ~ pd0_29
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f521]) ).
fof(f537,plain,
( pd0_31
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f536]) ).
fof(f538,plain,
( ~ pd0_29
| pd0_31
| ( op2(e21,e22) = e22
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f536,f537]) ).
fof(f539,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f538]) ).
fof(f540,plain,
( ~ pd0_29
| pd0_31
| op2(e20,e20) != e21
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f538]) ).
fof(f544,plain,
( ~ pd0_30
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) )
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f529]) ).
fof(f545,plain,
( pd0_32
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f544]) ).
fof(f546,plain,
( ~ pd0_30
| pd0_32
| ( op1(e11,e11) = e11
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f544,f545]) ).
fof(f547,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f549,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f552,plain,
( ~ pd0_31
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) )
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f537]) ).
fof(f553,plain,
( pd0_33
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f552]) ).
fof(f554,plain,
( ~ pd0_31
| pd0_33
| ( op2(e21,e21) = e21
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f552,f553]) ).
fof(f556,plain,
( ~ pd0_31
| pd0_33
| op2(e20,e20) != e21
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f554]) ).
fof(f560,plain,
( ~ pd0_32
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f545]) ).
fof(f561,plain,
( pd0_34
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
introduced(predicate_definition,[f560]) ).
fof(f562,plain,
( ~ pd0_32
| pd0_34
| ( op1(e11,e10) = e10
& ( op1(e10,e10) != e11
| op1(e10,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) != e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f560,f561]) ).
fof(f563,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f562]) ).
fof(f565,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f562]) ).
fof(f568,plain,
( ~ pd0_33
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f553]) ).
fof(f569,plain,
( pd0_35
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
introduced(predicate_definition,[f568]) ).
fof(f570,plain,
( ~ pd0_33
| pd0_35
| ( op2(e21,e20) = e20
& ( op2(e20,e20) != e21
| op2(e20,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) != e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f568,f569]) ).
fof(f571,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f570]) ).
fof(f572,plain,
( ~ pd0_33
| pd0_35
| op2(e20,e20) != e21
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f570]) ).
fof(f576,plain,
( ~ pd0_34
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f561]) ).
fof(f577,plain,
( pd0_36
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
introduced(predicate_definition,[f576]) ).
fof(f578,plain,
( ~ pd0_34
| pd0_36
| ( op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f576,f577]) ).
fof(f579,plain,
( ~ pd0_34
| pd0_36
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f578]) ).
fof(f584,plain,
( ~ pd0_35
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f569]) ).
fof(f585,plain,
( pd0_37
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
introduced(predicate_definition,[f584]) ).
fof(f586,plain,
( ~ pd0_35
| pd0_37
| ( op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f584,f585]) ).
fof(f587,plain,
( ~ pd0_35
| pd0_37
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f586]) ).
fof(f592,plain,
( ~ pd0_36
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f577]) ).
fof(f593,plain,
( pd0_38
=> ( ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ) ),
introduced(predicate_definition,[f592]) ).
fof(f594,plain,
( ~ pd0_36
| pd0_38
| ( op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f592,f593]) ).
fof(f595,plain,
( ~ pd0_36
| pd0_38
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f600,plain,
( ~ pd0_37
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f585]) ).
fof(f601,plain,
( pd0_39
=> ( ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ) ),
introduced(predicate_definition,[f600]) ).
fof(f602,plain,
( ~ pd0_37
| pd0_39
| ( op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f600,f601]) ).
fof(f603,plain,
( ~ pd0_37
| pd0_39
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f602]) ).
fof(f608,plain,
( ~ pd0_38
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) )
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f593]) ).
fof(f609,plain,
( pd0_40
=> ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
introduced(predicate_definition,[f608]) ).
fof(f610,plain,
( ~ pd0_38
| pd0_40
| ( op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f608,f609]) ).
fof(f615,plain,
( ~ pd0_38
| pd0_40
| op1(e13,e13) != e10
| op1(e13,e10) != e13 ),
inference(cnf_transformation,[status(esa)],[f610]) ).
fof(f616,plain,
( ~ pd0_39
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) )
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f601]) ).
fof(f617,plain,
( pd0_41
=> ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
introduced(predicate_definition,[f616]) ).
fof(f618,plain,
( ~ pd0_39
| pd0_41
| ( op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f616,f617]) ).
fof(f623,plain,
( ~ pd0_39
| pd0_41
| op2(e23,e23) != e20
| op2(e23,e20) != e23 ),
inference(cnf_transformation,[status(esa)],[f618]) ).
fof(f624,plain,
( ~ pd0_40
| ( op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) != e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) != e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f609]) ).
fof(f629,plain,
( ~ pd0_40
| op1(e13,e13) != e10
| op1(e13,e10) != e13 ),
inference(cnf_transformation,[status(esa)],[f624]) ).
fof(f630,plain,
( ~ pd0_41
| ( op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) != e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) != e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f617]) ).
fof(f635,plain,
( ~ pd0_41
| op2(e23,e23) != e20
| op2(e23,e20) != e23 ),
inference(cnf_transformation,[status(esa)],[f630]) ).
fof(f636,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f637,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f639,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f642,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f645,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f652]) ).
fof(f658,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f666,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f675,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f681,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f684,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f23,f675,f678,f681,f684]) ).
fof(f688,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f689,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f688]) ).
fof(f691,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f692,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f691]) ).
fof(f694,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f701,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f702,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f704,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f710,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f713,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f701,f704,f707,f710]) ).
fof(f714,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f715,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f718,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f727,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f728,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f733,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f740,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f746,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f753,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f754,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f762,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f766,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f767,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f766,f769,f772,f775]) ).
fof(f779,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f780,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f779]) ).
fof(f782,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f785,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f31,f779,f782,f785,f788]) ).
fof(f792,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f793,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f796,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f795]) ).
fof(f798,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f805,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f806,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f809,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f818,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f822,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f831,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( op1(e13,e13) = e11
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f850,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f645,f658,f671,f684]) ).
fof(f852,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f688,f701,f714,f727]) ).
fof(f853,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f45,f649,f701,f753,f805]) ).
fof(f855,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f652,f704,f756,f808]) ).
fof(f856,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f48,f694,f707,f720,f733]) ).
fof(f860,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f52,f740,f753,f766,f779]) ).
fof(f863,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f665,f717,f769,f821]) ).
fof(f865,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f668,f720,f772,f824]) ).
fof(f866,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f749,f762,f775,f788]) ).
fof(f869,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f61,f675,f727,f779,f831]) ).
fof(f870,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f62,f795,f808,f821,f834]) ).
fof(f872,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f64,f798,f811,f824,f837]) ).
fof(f875,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f684,f736,f788,f840]) ).
fof(f876,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f877,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f880,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f882,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f883,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f68,f876,f879,f882,f885]) ).
fof(f889,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f893,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f896,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f899,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f902,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f903,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f906,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f912,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f902,f905,f908,f911]) ).
fof(f918,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f919,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f918]) ).
fof(f921,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f924,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f925,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f928,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f929,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f932,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f931]) ).
fof(f934,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f942,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f944,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f945,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f944]) ).
fof(f947,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f948,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f954,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f955,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f958,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f967,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f968,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f973,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f980,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f981,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f984,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f987,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f993,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f994,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f997,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1006,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1012,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1013,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1018,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f1006,f1009,f1012,f1015]) ).
fof(f1019,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1020,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1022,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1026,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1029,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111 ),
inference(split_clause,[status(thm)],[f79,f1019,f1022,f1025,f1028]) ).
fof(f1032,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1033,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1036,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1042,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1045,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1049,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1052,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1058,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1059,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1062,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1071,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1073,plain,
( op2(e23,e23) != e20
| spl0_124 ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1075,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1078,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1081,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1085,plain,
( spl0_64
| spl0_80
| spl0_96
| spl0_112 ),
inference(split_clause,[status(thm)],[f85,f876,f928,f980,f1032]) ).
fof(f1087,plain,
( spl0_65
| spl0_81
| spl0_97
| spl0_113 ),
inference(split_clause,[status(thm)],[f87,f879,f931,f983,f1035]) ).
fof(f1089,plain,
( spl0_66
| spl0_82
| spl0_98
| spl0_114 ),
inference(split_clause,[status(thm)],[f89,f882,f934,f986,f1038]) ).
fof(f1090,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f885,f898,f911,f924]) ).
fof(f1092,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f928,f941,f954,f967]) ).
fof(f1093,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f889,f941,f993,f1045]) ).
fof(f1095,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f892,f944,f996,f1048]) ).
fof(f1096,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f934,f947,f960,f973]) ).
fof(f1097,plain,
( spl0_70
| spl0_86
| spl0_102
| spl0_118 ),
inference(split_clause,[status(thm)],[f97,f895,f947,f999,f1051]) ).
fof(f1100,plain,
( spl0_96
| spl0_100
| spl0_104
| spl0_108 ),
inference(split_clause,[status(thm)],[f100,f980,f993,f1006,f1019]) ).
fof(f1103,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f103,f905,f957,f1009,f1061]) ).
fof(f1105,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f908,f960,f1012,f1064]) ).
fof(f1106,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f989,f1002,f1015,f1028]) ).
fof(f1110,plain,
( spl0_113
| spl0_117
| spl0_121
| spl0_125 ),
inference(split_clause,[status(thm)],[f110,f1035,f1048,f1061,f1074]) ).
fof(f1112,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f1038,f1051,f1064,f1077]) ).
fof(f1113,plain,
( spl0_78
| spl0_94
| spl0_110
| spl0_126 ),
inference(split_clause,[status(thm)],[f113,f921,f973,f1025,f1077]) ).
fof(f1115,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f924,f976,f1028,f1080]) ).
fof(f1116,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1119,plain,
( spl0_128
| spl0_63 ),
inference(split_clause,[status(thm)],[f242,f1116,f840]) ).
fof(f1124,plain,
( spl0_0
| spl0_21
| spl0_42
| spl0_63 ),
inference(split_clause,[status(thm)],[f247,f636,f704,f772,f840]) ).
fof(f1126,plain,
( ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f249,f639,f649]) ).
fof(f1128,plain,
( ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f251,f645,f675]) ).
fof(f1129,plain,
( ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f252,f701,f691]) ).
fof(f1131,plain,
( ~ spl0_22
| spl0_25 ),
inference(split_clause,[status(thm)],[f254,f707,f717]) ).
fof(f1133,plain,
( ~ spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f256,f766,f746]) ).
fof(f1136,plain,
( ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f259,f775,f785]) ).
fof(f1137,plain,
( ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f260,f831,f801]) ).
fof(f1141,plain,
( spl0_129
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1144,plain,
( spl0_129
| spl0_127 ),
inference(split_clause,[status(thm)],[f266,f1141,f1080]) ).
fof(f1149,plain,
( spl0_64
| spl0_85
| spl0_106
| spl0_127 ),
inference(split_clause,[status(thm)],[f271,f876,f944,f1012,f1080]) ).
fof(f1151,plain,
( ~ spl0_65
| spl0_68 ),
inference(split_clause,[status(thm)],[f273,f879,f889]) ).
fof(f1154,plain,
( ~ spl0_84
| spl0_81 ),
inference(split_clause,[status(thm)],[f276,f941,f931]) ).
fof(f1156,plain,
( ~ spl0_86
| spl0_89 ),
inference(split_clause,[status(thm)],[f278,f947,f957]) ).
fof(f1158,plain,
( ~ spl0_104
| spl0_98 ),
inference(split_clause,[status(thm)],[f280,f1006,f986]) ).
fof(f1159,plain,
( ~ spl0_105
| spl0_102 ),
inference(split_clause,[status(thm)],[f281,f1009,f999]) ).
fof(f1161,plain,
( ~ spl0_107
| spl0_110 ),
inference(split_clause,[status(thm)],[f283,f1015,f1025]) ).
fof(f1162,plain,
( ~ spl0_124
| spl0_115 ),
inference(split_clause,[status(thm)],[f284,f1071,f1041]) ).
fof(f1169,plain,
( spl0_131
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl0_131 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1175,plain,
( spl0_133
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1177,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl0_133 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1199,plain,
( spl0_141
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1201,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl0_141 ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1211,plain,
( spl0_145
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1213,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_145 ),
inference(component_clause,[status(thm)],[f1211]) ).
fof(f1214,plain,
( spl0_146
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1217,plain,
( spl0_147
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1248,plain,
( spl0_156
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1250,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_156 ),
inference(component_clause,[status(thm)],[f1248]) ).
fof(f1272,plain,
( spl0_164
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1274,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1272]) ).
fof(f1284,plain,
( spl0_168
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1286,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1284]) ).
fof(f1290,plain,
( spl0_170
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1312,plain,
( spl0_176
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1314,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_176 ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1315,plain,
( spl0_177
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1317,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_177 ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1318,plain,
( spl0_178
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1320,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_178 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1321,plain,
( spl0_179
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1323,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_179 ),
inference(component_clause,[status(thm)],[f1321]) ).
fof(f1324,plain,
( spl0_180
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1326,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_180 ),
inference(component_clause,[status(thm)],[f1324]) ).
fof(f1327,plain,
( spl0_181
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1329,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_181 ),
inference(component_clause,[status(thm)],[f1327]) ).
fof(f1330,plain,
( spl0_182
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1332,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_182 ),
inference(component_clause,[status(thm)],[f1330]) ).
fof(f1333,plain,
( spl0_183
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1335,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_183 ),
inference(component_clause,[status(thm)],[f1333]) ).
fof(f1336,plain,
( spl0_184
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1338,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_184 ),
inference(component_clause,[status(thm)],[f1336]) ).
fof(f1339,plain,
( spl0_185
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1341,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1339]) ).
fof(f1342,plain,
( spl0_186
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1344,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( spl0_187
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1347,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1348,plain,
( spl0_188
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1350,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1348]) ).
fof(f1351,plain,
( spl0_189
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1353,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1351]) ).
fof(f1354,plain,
( spl0_190
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1356,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1354]) ).
fof(f1357,plain,
( spl0_191
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1359,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1357]) ).
fof(f1360,plain,
( spl0_192
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1363,plain,
( spl0_193
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1366,plain,
( spl0_194
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1369,plain,
( spl0_195
<=> h3(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1377,plain,
( spl0_197
<=> h3(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( h3(e12) != e23
| spl0_197 ),
inference(component_clause,[status(thm)],[f1377]) ).
fof(f1380,plain,
( ~ spl0_176
| ~ spl0_177
| ~ spl0_178
| ~ spl0_179
| ~ spl0_180
| ~ spl0_181
| ~ spl0_182
| ~ spl0_183
| ~ spl0_184
| ~ spl0_185
| ~ spl0_186
| ~ spl0_187
| ~ spl0_188
| ~ spl0_189
| ~ spl0_190
| ~ spl0_191
| spl0_192
| spl0_193
| spl0_194
| ~ spl0_197 ),
inference(split_clause,[status(thm)],[f334,f1312,f1315,f1318,f1321,f1324,f1327,f1330,f1333,f1336,f1339,f1342,f1345,f1348,f1351,f1354,f1357,f1360,f1363,f1366,f1377]) ).
fof(f1385,plain,
( spl0_199
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1386,plain,
( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
| ~ spl0_199 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1387,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1391,plain,
( spl0_201
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1393,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_201 ),
inference(component_clause,[status(thm)],[f1391]) ).
fof(f1394,plain,
( spl0_202
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1396,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_202 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1403,plain,
( spl0_205
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1404,plain,
( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
| ~ spl0_205 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1405,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl0_205 ),
inference(component_clause,[status(thm)],[f1403]) ).
fof(f1406,plain,
( spl0_206
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1408,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl0_206 ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1409,plain,
( spl0_207
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1410,plain,
( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
| ~ spl0_207 ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1411,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_207 ),
inference(component_clause,[status(thm)],[f1409]) ).
fof(f1418,plain,
( spl0_210
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1420,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl0_210 ),
inference(component_clause,[status(thm)],[f1418]) ).
fof(f1421,plain,
( spl0_211
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1422,plain,
( h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
| ~ spl0_211 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1423,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1421]) ).
fof(f1424,plain,
( spl0_212
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1426,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1424]) ).
fof(f1430,plain,
( spl0_214
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1432,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( spl0_215
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1436,plain,
( spl0_216
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1439,plain,
( spl0_217
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1454,plain,
( spl0_221
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1456,plain,
( h4(e13) != e23
| spl0_221 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1458,plain,
( spl0_222
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1461,plain,
( ~ spl0_128
| spl0_222
| spl0_58 ),
inference(split_clause,[status(thm)],[f343,f1116,f1458,f824]) ).
fof(f1466,plain,
( spl0_223
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1469,plain,
( ~ spl0_129
| spl0_223
| spl0_122 ),
inference(split_clause,[status(thm)],[f351,f1141,f1466,f1064]) ).
fof(f1474,plain,
( spl0_224
<=> h1(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1475,plain,
( h1(e10) = e20
| ~ spl0_224 ),
inference(component_clause,[status(thm)],[f1474]) ).
fof(f1476,plain,
( h1(e10) != e20
| spl0_224 ),
inference(component_clause,[status(thm)],[f1474]) ).
fof(f1486,plain,
( spl0_227
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1488,plain,
( h1(e13) != e20
| spl0_227 ),
inference(component_clause,[status(thm)],[f1486]) ).
fof(f1489,plain,
( ~ spl0_146
| ~ spl0_227 ),
inference(split_clause,[status(thm)],[f360,f1214,f1486]) ).
fof(f1490,plain,
( spl0_228
<=> h1(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1492,plain,
( h1(e10) != e21
| spl0_228 ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( ~ spl0_147
| ~ spl0_228 ),
inference(split_clause,[status(thm)],[f362,f1217,f1490]) ).
fof(f1522,plain,
( spl0_236
<=> h2(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1523,plain,
( h2(e10) = e20
| ~ spl0_236 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( h2(e10) != e20
| spl0_236 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1538,plain,
( spl0_240
<=> h2(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1539,plain,
( h2(e10) = e21
| ~ spl0_240 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1540,plain,
( h2(e10) != e21
| spl0_240 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1550,plain,
( spl0_243
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1552,plain,
( h2(e13) != e21
| spl0_243 ),
inference(component_clause,[status(thm)],[f1550]) ).
fof(f1553,plain,
( ~ spl0_170
| ~ spl0_243 ),
inference(split_clause,[status(thm)],[f380,f1290,f1550]) ).
fof(f1570,plain,
( spl0_248
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1571,plain,
( h3(e10) = e20
| ~ spl0_248 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1572,plain,
( h3(e10) != e20
| spl0_248 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,plain,
( ~ spl0_192
| ~ spl0_248 ),
inference(split_clause,[status(thm)],[f387,f1360,f1570]) ).
fof(f1590,plain,
( spl0_253
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1592,plain,
( h3(e11) != e21
| spl0_253 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1593,plain,
( ~ spl0_193
| ~ spl0_253 ),
inference(split_clause,[status(thm)],[f393,f1363,f1590]) ).
fof(f1602,plain,
( spl0_256
<=> h3(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1604,plain,
( h3(e10) != e22
| spl0_256 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1614,plain,
( spl0_259
<=> h3(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1616,plain,
( h3(e13) != e22
| spl0_259 ),
inference(component_clause,[status(thm)],[f1614]) ).
fof(f1617,plain,
( ~ spl0_194
| ~ spl0_259 ),
inference(split_clause,[status(thm)],[f400,f1366,f1614]) ).
fof(f1618,plain,
( spl0_260
<=> h4(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1620,plain,
( h4(e10) != e20
| spl0_260 ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1621,plain,
( ~ spl0_215
| ~ spl0_260 ),
inference(split_clause,[status(thm)],[f402,f1433,f1618]) ).
fof(f1638,plain,
( spl0_265
<=> h4(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1640,plain,
( h4(e11) != e21
| spl0_265 ),
inference(component_clause,[status(thm)],[f1638]) ).
fof(f1641,plain,
( ~ spl0_216
| ~ spl0_265 ),
inference(split_clause,[status(thm)],[f408,f1436,f1638]) ).
fof(f1658,plain,
( spl0_270
<=> h4(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1660,plain,
( h4(e12) != e22
| spl0_270 ),
inference(component_clause,[status(thm)],[f1658]) ).
fof(f1661,plain,
( ~ spl0_217
| ~ spl0_270 ),
inference(split_clause,[status(thm)],[f414,f1439,f1658]) ).
fof(f1666,plain,
( spl0_272
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1669,plain,
( ~ spl0_222
| spl0_272
| spl0_53 ),
inference(split_clause,[status(thm)],[f419,f1458,f1666,f808]) ).
fof(f1674,plain,
( spl0_273
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1677,plain,
( ~ spl0_223
| spl0_273
| spl0_117 ),
inference(split_clause,[status(thm)],[f427,f1466,f1674,f1048]) ).
fof(f1682,plain,
( spl0_274
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1685,plain,
( ~ spl0_272
| spl0_274
| spl0_48 ),
inference(split_clause,[status(thm)],[f435,f1666,f1682,f792]) ).
fof(f1690,plain,
( spl0_275
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1693,plain,
( ~ spl0_273
| spl0_275
| spl0_112 ),
inference(split_clause,[status(thm)],[f443,f1674,f1690,f1032]) ).
fof(f1698,plain,
( spl0_276
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1701,plain,
( ~ spl0_274
| spl0_276
| spl0_47 ),
inference(split_clause,[status(thm)],[f451,f1682,f1698,f788]) ).
fof(f1706,plain,
( spl0_277
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1709,plain,
( ~ spl0_275
| spl0_277
| spl0_111 ),
inference(split_clause,[status(thm)],[f459,f1690,f1706,f1028]) ).
fof(f1714,plain,
( spl0_278
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1717,plain,
( ~ spl0_276
| spl0_278
| spl0_42 ),
inference(split_clause,[status(thm)],[f467,f1698,f1714,f772]) ).
fof(f1720,plain,
( ~ spl0_276
| spl0_278
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f470,f1698,f1714,f772]) ).
fof(f1722,plain,
( spl0_279
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1725,plain,
( ~ spl0_277
| spl0_279
| spl0_106 ),
inference(split_clause,[status(thm)],[f475,f1706,f1722,f1012]) ).
fof(f1728,plain,
( ~ spl0_277
| spl0_279
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f478,f1706,f1722,f1012]) ).
fof(f1730,plain,
( spl0_280
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1733,plain,
( ~ spl0_278
| spl0_280
| spl0_37 ),
inference(split_clause,[status(thm)],[f483,f1714,f1730,f756]) ).
fof(f1738,plain,
( spl0_281
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1741,plain,
( ~ spl0_279
| spl0_281
| spl0_101 ),
inference(split_clause,[status(thm)],[f491,f1722,f1738,f996]) ).
fof(f1746,plain,
( spl0_282
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1749,plain,
( ~ spl0_280
| spl0_282
| spl0_32 ),
inference(split_clause,[status(thm)],[f499,f1730,f1746,f740]) ).
fof(f1752,plain,
( ~ spl0_280
| spl0_282
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f502,f1730,f1746,f772]) ).
fof(f1754,plain,
( spl0_283
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1757,plain,
( ~ spl0_281
| spl0_283
| spl0_96 ),
inference(split_clause,[status(thm)],[f507,f1738,f1754,f980]) ).
fof(f1760,plain,
( ~ spl0_281
| spl0_283
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f510,f1738,f1754,f1012]) ).
fof(f1762,plain,
( spl0_284
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1767,plain,
( ~ spl0_282
| spl0_284
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f517,f1746,f1762,f704]) ).
fof(f1770,plain,
( spl0_285
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1774,plain,
( ~ spl0_283
| spl0_285
| ~ spl0_65
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f524,f1754,f1770,f879,f889]) ).
fof(f1778,plain,
( spl0_286
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1781,plain,
( ~ spl0_284
| spl0_286
| spl0_26 ),
inference(split_clause,[status(thm)],[f531,f1762,f1778,f720]) ).
fof(f1783,plain,
( ~ spl0_284
| spl0_286
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f533,f1762,f1778,f704]) ).
fof(f1786,plain,
( spl0_287
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1789,plain,
( ~ spl0_285
| spl0_287
| spl0_90 ),
inference(split_clause,[status(thm)],[f539,f1770,f1786,f960]) ).
fof(f1790,plain,
( ~ spl0_285
| spl0_287
| ~ spl0_65
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f540,f1770,f1786,f879,f889]) ).
fof(f1794,plain,
( spl0_288
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1797,plain,
( ~ spl0_286
| spl0_288
| spl0_21 ),
inference(split_clause,[status(thm)],[f547,f1778,f1794,f704]) ).
fof(f1799,plain,
( ~ spl0_286
| spl0_288
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f549,f1778,f1794,f704]) ).
fof(f1802,plain,
( spl0_289
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1806,plain,
( ~ spl0_287
| spl0_289
| ~ spl0_65
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f556,f1786,f1802,f879,f889]) ).
fof(f1810,plain,
( spl0_290
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1813,plain,
( ~ spl0_288
| spl0_290
| spl0_16 ),
inference(split_clause,[status(thm)],[f563,f1794,f1810,f688]) ).
fof(f1815,plain,
( ~ spl0_288
| spl0_290
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f565,f1794,f1810,f704]) ).
fof(f1818,plain,
( spl0_291
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1821,plain,
( ~ spl0_289
| spl0_291
| spl0_80 ),
inference(split_clause,[status(thm)],[f571,f1802,f1818,f928]) ).
fof(f1822,plain,
( ~ spl0_289
| spl0_291
| ~ spl0_65
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f572,f1802,f1818,f879,f889]) ).
fof(f1826,plain,
( spl0_292
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1829,plain,
( ~ spl0_290
| spl0_292
| spl0_15 ),
inference(split_clause,[status(thm)],[f579,f1810,f1826,f684]) ).
fof(f1834,plain,
( spl0_293
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1837,plain,
( ~ spl0_291
| spl0_293
| spl0_79 ),
inference(split_clause,[status(thm)],[f587,f1818,f1834,f924]) ).
fof(f1842,plain,
( spl0_294
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1845,plain,
( ~ spl0_292
| spl0_294
| spl0_10 ),
inference(split_clause,[status(thm)],[f595,f1826,f1842,f668]) ).
fof(f1850,plain,
( spl0_295
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1853,plain,
( ~ spl0_293
| spl0_295
| spl0_74 ),
inference(split_clause,[status(thm)],[f603,f1834,f1850,f908]) ).
fof(f1858,plain,
( spl0_296
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1865,plain,
( ~ spl0_294
| spl0_296
| ~ spl0_60
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f615,f1842,f1858,f831,f801]) ).
fof(f1866,plain,
( spl0_297
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1873,plain,
( ~ spl0_295
| spl0_297
| ~ spl0_124
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f623,f1850,f1866,f1071,f1041]) ).
fof(f1878,plain,
( ~ spl0_296
| ~ spl0_60
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f629,f1858,f831,f801]) ).
fof(f1883,plain,
( ~ spl0_297
| ~ spl0_124
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f635,f1866,f1071,f1041]) ).
fof(f1884,plain,
e11 = op1(op1(e10,e13),e13),
inference(forward_demodulation,[status(thm)],[f288,f289]) ).
fof(f1885,plain,
e12 = op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f288,f290]) ).
fof(f1886,plain,
e21 = op2(op2(e20,e23),e23),
inference(forward_demodulation,[status(thm)],[f291,f292]) ).
fof(f1887,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f291,f293]) ).
fof(f1888,plain,
h1(e11) = op2(op2(h1(e10),e20),e20),
inference(forward_demodulation,[status(thm)],[f295,f296]) ).
fof(f1889,plain,
h1(e12) = op2(h1(e10),e20),
inference(forward_demodulation,[status(thm)],[f295,f297]) ).
fof(f1890,plain,
h2(e11) = op2(op2(h2(e10),e21),e21),
inference(forward_demodulation,[status(thm)],[f299,f300]) ).
fof(f1891,plain,
h2(e12) = op2(h2(e10),e21),
inference(forward_demodulation,[status(thm)],[f299,f301]) ).
fof(f1892,plain,
h3(e11) = op2(op2(h3(e10),e22),e22),
inference(forward_demodulation,[status(thm)],[f303,f304]) ).
fof(f1893,plain,
h3(e12) = op2(h3(e10),e22),
inference(forward_demodulation,[status(thm)],[f303,f305]) ).
fof(f1894,plain,
h4(e10) = e20,
inference(forward_demodulation,[status(thm)],[f291,f307]) ).
fof(f1895,plain,
h4(e11) = op2(op2(e20,e23),e23),
inference(forward_demodulation,[status(thm)],[f291,f308]) ).
fof(f1896,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f1886,f1895]) ).
fof(f1897,plain,
h4(e12) = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f291,f309]) ).
fof(f1898,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f1887,f1897]) ).
fof(f1900,plain,
( e22 != e22
| spl0_270 ),
inference(forward_demodulation,[status(thm)],[f1898,f1660]) ).
fof(f1901,plain,
( $false
| spl0_270 ),
inference(trivial_equality_resolution,[status(esa)],[f1900]) ).
fof(f1902,plain,
spl0_270,
inference(contradiction_clause,[status(thm)],[f1901]) ).
fof(f1907,plain,
( e21 != e21
| spl0_265 ),
inference(forward_demodulation,[status(thm)],[f1896,f1640]) ).
fof(f1908,plain,
( $false
| spl0_265 ),
inference(trivial_equality_resolution,[status(esa)],[f1907]) ).
fof(f1909,plain,
spl0_265,
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1914,plain,
( e20 != e20
| spl0_260 ),
inference(forward_demodulation,[status(thm)],[f1894,f1620]) ).
fof(f1915,plain,
( $false
| spl0_260 ),
inference(trivial_equality_resolution,[status(esa)],[f1914]) ).
fof(f1916,plain,
spl0_260,
inference(contradiction_clause,[status(thm)],[f1915]) ).
fof(f1917,plain,
( e22 != e22
| spl0_259 ),
inference(forward_demodulation,[status(thm)],[f302,f1616]) ).
fof(f1918,plain,
( $false
| spl0_259 ),
inference(trivial_equality_resolution,[status(esa)],[f1917]) ).
fof(f1919,plain,
spl0_259,
inference(contradiction_clause,[status(thm)],[f1918]) ).
fof(f1923,plain,
( e21 != e21
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f298,f1552]) ).
fof(f1924,plain,
( $false
| spl0_243 ),
inference(trivial_equality_resolution,[status(esa)],[f1923]) ).
fof(f1925,plain,
spl0_243,
inference(contradiction_clause,[status(thm)],[f1924]) ).
fof(f1929,plain,
( e20 != e20
| spl0_227 ),
inference(forward_demodulation,[status(thm)],[f294,f1488]) ).
fof(f1930,plain,
( $false
| spl0_227 ),
inference(trivial_equality_resolution,[status(esa)],[f1929]) ).
fof(f1931,plain,
spl0_227,
inference(contradiction_clause,[status(thm)],[f1930]) ).
fof(f1932,plain,
( e23 != e23
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f306,f1456]) ).
fof(f1933,plain,
( $false
| spl0_221 ),
inference(trivial_equality_resolution,[status(esa)],[f1932]) ).
fof(f1934,plain,
spl0_221,
inference(contradiction_clause,[status(thm)],[f1933]) ).
fof(f1941,plain,
( h4(e10) != op2(h4(e13),h4(e13))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f288,f1432]) ).
fof(f1942,plain,
( e20 != op2(h4(e13),h4(e13))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1894,f1941]) ).
fof(f1943,plain,
( e20 != op2(e23,h4(e13))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f306,f1942]) ).
fof(f1944,plain,
( e20 != op2(e23,e23)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f306,f1943]) ).
fof(f1945,plain,
( e20 != e20
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f291,f1944]) ).
fof(f1946,plain,
( $false
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f1945]) ).
fof(f1947,plain,
spl0_214,
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1950,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f306,f1426]) ).
fof(f1951,plain,
( h4(op1(e13,e11)) != op2(e23,e21)
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1896,f1950]) ).
fof(f1952,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f306,f1423]) ).
fof(f1953,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1894,f1952]) ).
fof(f1954,plain,
( h4(op1(e12,e13)) != op2(e22,h4(e13))
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1898,f1420]) ).
fof(f1955,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f306,f1954]) ).
fof(f1961,plain,
( h4(op1(e12,e10)) != op2(e22,h4(e10))
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1898,f1411]) ).
fof(f1962,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1894,f1961]) ).
fof(f1963,plain,
( h4(op1(e11,e13)) != op2(e21,h4(e13))
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1896,f1408]) ).
fof(f1964,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f306,f1963]) ).
fof(f1965,plain,
( h4(op1(e11,e12)) != op2(e21,h4(e12))
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1896,f1405]) ).
fof(f1966,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1898,f1965]) ).
fof(f1972,plain,
( h4(e12) != op2(h4(e10),h4(e13))
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1885,f1396]) ).
fof(f1973,plain,
( e22 != op2(h4(e10),h4(e13))
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1898,f1972]) ).
fof(f1974,plain,
( e22 != op2(e20,h4(e13))
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1894,f1973]) ).
fof(f1975,plain,
( e22 != op2(e20,e23)
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f306,f1974]) ).
fof(f1976,plain,
( e22 != e22
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1887,f1975]) ).
fof(f1977,plain,
( $false
| spl0_202 ),
inference(trivial_equality_resolution,[status(esa)],[f1976]) ).
fof(f1978,plain,
spl0_202,
inference(contradiction_clause,[status(thm)],[f1977]) ).
fof(f1979,plain,
( h4(op1(e10,e12)) != op2(e20,h4(e12))
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f1894,f1393]) ).
fof(f1980,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f1898,f1979]) ).
fof(f1983,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1894,f1387]) ).
fof(f1984,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1894,f1983]) ).
fof(f1985,plain,
( h4(op1(e10,e10)) != h1(e10)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f295,f1984]) ).
fof(f1986,plain,
( h3(e10) != op2(h3(e13),h3(e13))
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f288,f1359]) ).
fof(f1987,plain,
( h3(e10) != op2(e22,h3(e13))
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f302,f1986]) ).
fof(f1988,plain,
( h3(e10) != op2(e22,e22)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f302,f1987]) ).
fof(f1989,plain,
( h3(e10) != h3(e10)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f303,f1988]) ).
fof(f1990,plain,
( $false
| spl0_191 ),
inference(trivial_equality_resolution,[status(esa)],[f1989]) ).
fof(f1991,plain,
spl0_191,
inference(contradiction_clause,[status(thm)],[f1990]) ).
fof(f1992,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f302,f1356]) ).
fof(f1993,plain,
( h3(op1(e13,e11)) != op2(e22,h3(e11))
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f302,f1353]) ).
fof(f1994,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f302,f1350]) ).
fof(f1995,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f302,f1347]) ).
fof(f1996,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f302,f1335]) ).
fof(f1997,plain,
( h3(e12) != op2(h3(e10),h3(e13))
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f1885,f1323]) ).
fof(f1998,plain,
( h3(e12) != op2(h3(e10),e22)
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f302,f1997]) ).
fof(f1999,plain,
( h3(e12) != h3(e12)
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f1893,f1998]) ).
fof(f2000,plain,
( $false
| spl0_179 ),
inference(trivial_equality_resolution,[status(esa)],[f1999]) ).
fof(f2001,plain,
spl0_179,
inference(contradiction_clause,[status(thm)],[f2000]) ).
fof(f2002,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f288,f1286]) ).
fof(f2003,plain,
( h2(e10) != op2(e21,h2(e13))
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f298,f2002]) ).
fof(f2004,plain,
( h2(e10) != op2(e21,e21)
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f298,f2003]) ).
fof(f2005,plain,
( h2(e10) != h2(e10)
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f299,f2004]) ).
fof(f2006,plain,
( $false
| spl0_168 ),
inference(trivial_equality_resolution,[status(esa)],[f2005]) ).
fof(f2007,plain,
spl0_168,
inference(contradiction_clause,[status(thm)],[f2006]) ).
fof(f2011,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e21)
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f298,f1274]) ).
fof(f2013,plain,
( h2(e12) != op2(h2(e10),h2(e13))
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f1885,f1250]) ).
fof(f2014,plain,
( h2(e12) != op2(h2(e10),e21)
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f298,f2013]) ).
fof(f2015,plain,
( h2(e12) != h2(e12)
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f1891,f2014]) ).
fof(f2016,plain,
( $false
| spl0_156 ),
inference(trivial_equality_resolution,[status(esa)],[f2015]) ).
fof(f2017,plain,
spl0_156,
inference(contradiction_clause,[status(thm)],[f2016]) ).
fof(f2018,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f288,f1213]) ).
fof(f2019,plain,
( h1(e10) != op2(e20,h1(e13))
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f294,f2018]) ).
fof(f2020,plain,
( h1(e10) != op2(e20,e20)
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f294,f2019]) ).
fof(f2021,plain,
( h1(e10) != h1(e10)
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f295,f2020]) ).
fof(f2022,plain,
( $false
| spl0_145 ),
inference(trivial_equality_resolution,[status(esa)],[f2021]) ).
fof(f2023,plain,
spl0_145,
inference(contradiction_clause,[status(thm)],[f2022]) ).
fof(f2027,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f294,f1201]) ).
fof(f2029,plain,
( h1(e12) != op2(h1(e10),h1(e13))
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f1885,f1177]) ).
fof(f2030,plain,
( h1(e12) != op2(h1(e10),e20)
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f294,f2029]) ).
fof(f2031,plain,
( h1(e12) != h1(e12)
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f1889,f2030]) ).
fof(f2032,plain,
( $false
| spl0_133 ),
inference(trivial_equality_resolution,[status(esa)],[f2031]) ).
fof(f2033,plain,
spl0_133,
inference(contradiction_clause,[status(thm)],[f2032]) ).
fof(f2034,plain,
( e22 = e23
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f1887,f925]) ).
fof(f2035,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f2034,f223]) ).
fof(f2036,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f2035]) ).
fof(f2037,plain,
( e12 = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f1885,f685]) ).
fof(f2038,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f2037,f217]) ).
fof(f2039,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f2038]) ).
fof(f2040,plain,
( e23 = e22
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f977,f974]) ).
fof(f2041,plain,
( $false
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2040,f223]) ).
fof(f2042,plain,
( ~ spl0_95
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2043,plain,
( e21 = e22
| ~ spl0_117
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f1049,f1052]) ).
fof(f2044,plain,
( $false
| ~ spl0_117
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f2043,f221]) ).
fof(f2045,plain,
( ~ spl0_117
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f2044]) ).
fof(f2052,plain,
( e22 = e21
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f1887,f919]) ).
fof(f2053,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f2052,f221]) ).
fof(f2054,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f2053]) ).
fof(f2055,plain,
( e22 = e21
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1065,f1062]) ).
fof(f2056,plain,
( $false
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2055,f221]) ).
fof(f2057,plain,
( ~ spl0_122
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f2056]) ).
fof(f2058,plain,
( e22 = e23
| ~ spl0_90
| ~ spl0_91 ),
inference(forward_demodulation,[status(thm)],[f961,f964]) ).
fof(f2059,plain,
( $false
| ~ spl0_90
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f2058,f223]) ).
fof(f2060,plain,
( ~ spl0_90
| ~ spl0_91 ),
inference(contradiction_clause,[status(thm)],[f2059]) ).
fof(f2067,plain,
( e20 = e23
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f981,f990]) ).
fof(f2068,plain,
( $false
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f220]) ).
fof(f2069,plain,
( ~ spl0_96
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2068]) ).
fof(f2070,plain,
( e22 = e20
| ~ spl0_90
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f961,f955]) ).
fof(f2071,plain,
( $false
| ~ spl0_90
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f2070,f219]) ).
fof(f2072,plain,
( ~ spl0_90
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f2071]) ).
fof(f2073,plain,
( e21 = e23
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f893,f899]) ).
fof(f2074,plain,
( $false
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f2073,f222]) ).
fof(f2075,plain,
( ~ spl0_69
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f2074]) ).
fof(f2079,plain,
( e20 = e22
| ~ spl0_80
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f929,f935]) ).
fof(f2080,plain,
( $false
| ~ spl0_80
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f219]) ).
fof(f2081,plain,
( ~ spl0_80
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2082,plain,
( e13 = e12
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f737,f734]) ).
fof(f2083,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f2082,f217]) ).
fof(f2084,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f2083]) ).
fof(f2085,plain,
( e11 = e12
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f809,f812]) ).
fof(f2086,plain,
( $false
| ~ spl0_53
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f2085,f215]) ).
fof(f2087,plain,
( ~ spl0_53
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f2086]) ).
fof(f2094,plain,
( e12 = e11
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1885,f679]) ).
fof(f2095,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2094,f215]) ).
fof(f2096,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f2095]) ).
fof(f2097,plain,
( e12 = e11
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f825,f822]) ).
fof(f2098,plain,
( $false
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f2097,f215]) ).
fof(f2099,plain,
( ~ spl0_58
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2098]) ).
fof(f2103,plain,
( e10 = e11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f689,f692]) ).
fof(f2104,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f2103,f212]) ).
fof(f2105,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
op1(e13,e12) != e10,
inference(backward_demodulation,[status(thm)],[f288,f163]) ).
fof(f2107,plain,
( e10 != e10
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f819,f2106]) ).
fof(f2108,plain,
( $false
| ~ spl0_56 ),
inference(trivial_equality_resolution,[status(esa)],[f2107]) ).
fof(f2109,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f2108]) ).
fof(f2110,plain,
op1(e13,e11) != e10,
inference(backward_demodulation,[status(thm)],[f288,f162]) ).
fof(f2113,plain,
op1(e12,e13) != e10,
inference(backward_demodulation,[status(thm)],[f288,f139]) ).
fof(f2114,plain,
( e10 != e10
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f780,f2113]) ).
fof(f2115,plain,
( $false
| ~ spl0_44 ),
inference(trivial_equality_resolution,[status(esa)],[f2114]) ).
fof(f2116,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f2115]) ).
fof(f2117,plain,
op1(e11,e13) != e10,
inference(backward_demodulation,[status(thm)],[f288,f138]) ).
fof(f2118,plain,
( e10 != e10
| ~ spl0_28 ),
inference(forward_demodulation,[status(thm)],[f728,f2117]) ).
fof(f2119,plain,
( $false
| ~ spl0_28 ),
inference(trivial_equality_resolution,[status(esa)],[f2118]) ).
fof(f2120,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f2119]) ).
fof(f2123,plain,
e11 = op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f1885,f1884]) ).
fof(f2124,plain,
op1(e10,e12) != e12,
inference(backward_demodulation,[status(thm)],[f1885,f145]) ).
fof(f2125,plain,
( e12 != e12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f669,f2124]) ).
fof(f2126,plain,
( $false
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f2125]) ).
fof(f2127,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f2126]) ).
fof(f2133,plain,
op2(e23,e22) != e20,
inference(backward_demodulation,[status(thm)],[f291,f211]) ).
fof(f2134,plain,
( e20 != e20
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f1059,f2133]) ).
fof(f2135,plain,
( $false
| ~ spl0_120 ),
inference(trivial_equality_resolution,[status(esa)],[f2134]) ).
fof(f2136,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f2135]) ).
fof(f2137,plain,
op2(e23,e21) != e20,
inference(backward_demodulation,[status(thm)],[f291,f210]) ).
fof(f2138,plain,
( e20 != e20
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f1046,f2137]) ).
fof(f2139,plain,
( $false
| ~ spl0_116 ),
inference(trivial_equality_resolution,[status(esa)],[f2138]) ).
fof(f2140,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f2139]) ).
fof(f2143,plain,
op2(e22,e23) != e20,
inference(backward_demodulation,[status(thm)],[f291,f187]) ).
fof(f2144,plain,
( e20 != e20
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1020,f2143]) ).
fof(f2145,plain,
( $false
| ~ spl0_108 ),
inference(trivial_equality_resolution,[status(esa)],[f2144]) ).
fof(f2146,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f2145]) ).
fof(f2147,plain,
op2(e21,e23) != e20,
inference(backward_demodulation,[status(thm)],[f291,f186]) ).
fof(f2148,plain,
( e20 != e20
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f968,f2147]) ).
fof(f2149,plain,
( $false
| ~ spl0_92 ),
inference(trivial_equality_resolution,[status(esa)],[f2148]) ).
fof(f2150,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2153,plain,
e21 = op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f1887,f1886]) ).
fof(f2154,plain,
op2(e20,e22) != e22,
inference(backward_demodulation,[status(thm)],[f1887,f193]) ).
fof(f2156,plain,
op2(e20,e21) != e22,
inference(backward_demodulation,[status(thm)],[f1887,f192]) ).
fof(f2157,plain,
( e22 != e22
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f896,f2156]) ).
fof(f2158,plain,
( $false
| ~ spl0_70 ),
inference(trivial_equality_resolution,[status(esa)],[f2157]) ).
fof(f2159,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2160,plain,
op2(e20,e20) != e22,
inference(backward_demodulation,[status(thm)],[f1887,f190]) ).
fof(f2164,plain,
h1(e10) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f295,f189]) ).
fof(f2165,plain,
h1(e10) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f295,f188]) ).
fof(f2166,plain,
h1(e10) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f295,f166]) ).
fof(f2169,plain,
h1(e11) = op2(h1(e12),e20),
inference(backward_demodulation,[status(thm)],[f1889,f1888]) ).
fof(f2172,plain,
op2(e21,e20) != h2(e10),
inference(backward_demodulation,[status(thm)],[f299,f194]) ).
fof(f2176,plain,
h2(e11) = op2(h2(e12),e21),
inference(backward_demodulation,[status(thm)],[f1891,f1890]) ).
fof(f2178,plain,
op2(e22,e21) != h3(e10),
inference(backward_demodulation,[status(thm)],[f303,f203]) ).
fof(f2179,plain,
op2(e22,e20) != h3(e10),
inference(backward_demodulation,[status(thm)],[f303,f201]) ).
fof(f2180,plain,
h3(e10) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f303,f181]) ).
fof(f2182,plain,
op2(e20,e22) != h3(e10),
inference(backward_demodulation,[status(thm)],[f303,f177]) ).
fof(f2183,plain,
h3(e11) = op2(h3(e12),e22),
inference(backward_demodulation,[status(thm)],[f1893,f1892]) ).
fof(f2209,plain,
( h3(e11) != op2(h3(e10),h3(e11))
| ~ spl0_5
| spl0_177 ),
inference(backward_demodulation,[status(thm)],[f653,f1317]) ).
fof(f2231,plain,
( h4(op1(e11,e12)) != e22
| ~ spl0_90
| spl0_205 ),
inference(backward_demodulation,[status(thm)],[f961,f1966]) ).
fof(f2232,plain,
( h4(e12) != e22
| ~ spl0_26
| ~ spl0_90
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f721,f2231]) ).
fof(f2233,plain,
( e22 != e22
| ~ spl0_26
| ~ spl0_90
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1898,f2232]) ).
fof(f2234,plain,
( $false
| ~ spl0_26
| ~ spl0_90
| spl0_205 ),
inference(trivial_equality_resolution,[status(esa)],[f2233]) ).
fof(f2235,plain,
( ~ spl0_26
| ~ spl0_90
| spl0_205 ),
inference(contradiction_clause,[status(thm)],[f2234]) ).
fof(f2248,plain,
( e10 != op1(e12,e10)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f689,f119]) ).
fof(f2249,plain,
( e10 != e10
| ~ spl0_32
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f741,f2248]) ).
fof(f2250,plain,
( $false
| ~ spl0_32
| ~ spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f2249]) ).
fof(f2251,plain,
( ~ spl0_32
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2258,plain,
( e12 != op1(e12,e12)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f721,f131]) ).
fof(f2282,plain,
( h4(e11) != op2(e22,e23)
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f2123,f1955]) ).
fof(f2283,plain,
( e21 != op2(e22,e23)
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1896,f2282]) ).
fof(f2284,plain,
( e21 != e21
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f2153,f2283]) ).
fof(f2285,plain,
( $false
| spl0_210 ),
inference(trivial_equality_resolution,[status(esa)],[f2284]) ).
fof(f2286,plain,
spl0_210,
inference(contradiction_clause,[status(thm)],[f2285]) ).
fof(f2297,plain,
( e21 = e23
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f906,f912]) ).
fof(f2298,plain,
( $false
| ~ spl0_73
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f2297,f222]) ).
fof(f2299,plain,
( ~ spl0_73
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2298]) ).
fof(f2300,plain,
( h3(e10) = e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f303,f1007]) ).
fof(f2301,plain,
( $false
| spl0_248
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f2300,f1572]) ).
fof(f2302,plain,
( spl0_248
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f2301]) ).
fof(f2305,plain,
op2(e22,e20) != e21,
inference(forward_demodulation,[status(thm)],[f2153,f202]) ).
fof(f2306,plain,
( e21 = e23
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f2153,f1029]) ).
fof(f2307,plain,
( $false
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f2306,f222]) ).
fof(f2308,plain,
~ spl0_111,
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2309,plain,
( h1(e10) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f295,f877]) ).
fof(f2310,plain,
( $false
| spl0_224
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2309,f1476]) ).
fof(f2311,plain,
( spl0_224
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2310]) ).
fof(f2315,plain,
( op2(e20,e21) != e20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f994,f171]) ).
fof(f2317,plain,
( e21 = e23
| ~ spl0_113
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f1036,f1042]) ).
fof(f2318,plain,
( $false
| ~ spl0_113
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f2317,f222]) ).
fof(f2319,plain,
( ~ spl0_113
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f2318]) ).
fof(f2332,plain,
( h1(e11) != op2(h1(e12),e20)
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f2123,f2027]) ).
fof(f2333,plain,
( h1(e11) != h1(e11)
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f2169,f2332]) ).
fof(f2334,plain,
( $false
| spl0_141 ),
inference(trivial_equality_resolution,[status(esa)],[f2333]) ).
fof(f2335,plain,
spl0_141,
inference(contradiction_clause,[status(thm)],[f2334]) ).
fof(f2336,plain,
( h2(e11) != op2(h2(e12),e21)
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2123,f2011]) ).
fof(f2337,plain,
( h2(e11) != h2(e11)
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2176,f2336]) ).
fof(f2338,plain,
( $false
| spl0_164 ),
inference(trivial_equality_resolution,[status(esa)],[f2337]) ).
fof(f2339,plain,
spl0_164,
inference(contradiction_clause,[status(thm)],[f2338]) ).
fof(f2340,plain,
( h3(e11) != op2(h3(e12),e22)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f2123,f1995]) ).
fof(f2341,plain,
( h3(e11) != h3(e11)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f2183,f2340]) ).
fof(f2342,plain,
( $false
| spl0_187 ),
inference(trivial_equality_resolution,[status(esa)],[f2341]) ).
fof(f2343,plain,
spl0_187,
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2344,plain,
( e11 != op1(e12,e13)
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f770,f157]) ).
fof(f2345,plain,
( e11 != e11
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f2123,f2344]) ).
fof(f2346,plain,
( $false
| ~ spl0_41 ),
inference(trivial_equality_resolution,[status(esa)],[f2345]) ).
fof(f2347,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f2346]) ).
fof(f2352,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f2110]) ).
fof(f2353,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f2352]) ).
fof(f2354,plain,
( e10 = e11
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f288,f835]) ).
fof(f2355,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f2354,f212]) ).
fof(f2356,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f2355]) ).
fof(f2359,plain,
( op1(e12,e12) != e12
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f825,f133]) ).
fof(f2381,plain,
( h4(e13) = op2(h4(e11),h4(e12))
| ~ spl0_27
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f724,f1404]) ).
fof(f2382,plain,
( e23 = op2(h4(e11),h4(e12))
| ~ spl0_27
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f306,f2381]) ).
fof(f2383,plain,
( e23 = op2(e21,h4(e12))
| ~ spl0_27
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1896,f2382]) ).
fof(f2384,plain,
( e23 = op2(e21,e22)
| ~ spl0_27
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1898,f2383]) ).
fof(f2385,plain,
( e23 = e22
| ~ spl0_90
| ~ spl0_27
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f961,f2384]) ).
fof(f2386,plain,
( $false
| ~ spl0_90
| ~ spl0_27
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f223]) ).
fof(f2387,plain,
( ~ spl0_90
| ~ spl0_27
| ~ spl0_205 ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2390,plain,
( e11 = e13
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f2123,f789]) ).
fof(f2391,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f216]) ).
fof(f2392,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2424,plain,
( h2(e10) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f299,f948]) ).
fof(f2427,plain,
( h1(e10) = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f295,f883]) ).
fof(f2430,plain,
( e20 = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f291,f1075]) ).
fof(f2431,plain,
( $false
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2430,f218]) ).
fof(f2432,plain,
~ spl0_125,
inference(contradiction_clause,[status(thm)],[f2431]) ).
fof(f2452,plain,
( $false
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f984,f2305]) ).
fof(f2453,plain,
~ spl0_97,
inference(contradiction_clause,[status(thm)],[f2452]) ).
fof(f2461,plain,
( e12 = e10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1885,f676]) ).
fof(f2462,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2461,f213]) ).
fof(f2463,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2465,plain,
( e11 = e12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f692,f695]) ).
fof(f2466,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2465,f215]) ).
fof(f2467,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2466]) ).
fof(f2475,plain,
( e11 != op1(e12,e13)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f757,f156]) ).
fof(f2476,plain,
( ~ spl0_45
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2475,f782,f756]) ).
fof(f2491,plain,
( op1(e11,e11) != e13
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f737,f150]) ).
fof(f2492,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2491,f710,f736]) ).
fof(f2505,plain,
( e11 = e12
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f2123,f786]) ).
fof(f2506,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f215]) ).
fof(f2507,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2515,plain,
( ~ spl0_42
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2258,f772,f720]) ).
fof(f2518,plain,
op2(e22,e21) != e21,
inference(forward_demodulation,[status(thm)],[f2153,f204]) ).
fof(f2519,plain,
h1(e10) != e22,
inference(forward_demodulation,[status(thm)],[f295,f2160]) ).
fof(f2524,plain,
( e20 != op2(e20,e22)
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f890,f191]) ).
fof(f2525,plain,
( e20 != op2(e20,e21)
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f1475,f2165]) ).
fof(f2526,plain,
( e20 != e20
| ~ spl0_68
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f890,f2525]) ).
fof(f2527,plain,
( $false
| ~ spl0_68
| ~ spl0_224 ),
inference(trivial_equality_resolution,[status(esa)],[f2526]) ).
fof(f2528,plain,
( ~ spl0_68
| ~ spl0_224 ),
inference(contradiction_clause,[status(thm)],[f2527]) ).
fof(f2538,plain,
( h2(e10) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f299,f945]) ).
fof(f2539,plain,
( $false
| spl0_240
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f2538,f1540]) ).
fof(f2540,plain,
( spl0_240
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f2539]) ).
fof(f2541,plain,
( $false
| ~ spl0_68
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f903,f2524]) ).
fof(f2542,plain,
( ~ spl0_68
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f2541]) ).
fof(f2544,plain,
( h2(e10) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f299,f942]) ).
fof(f2545,plain,
( $false
| spl0_236
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2544,f1524]) ).
fof(f2546,plain,
( spl0_236
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2545]) ).
fof(f2556,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f2518]) ).
fof(f2557,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f2556]) ).
fof(f2566,plain,
( e21 = e22
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f932,f935]) ).
fof(f2567,plain,
( $false
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2566,f221]) ).
fof(f2568,plain,
( ~ spl0_81
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2567]) ).
fof(f2573,plain,
( e13 = e11
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f672,f666]) ).
fof(f2574,plain,
( $false
| ~ spl0_11
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f2573,f216]) ).
fof(f2575,plain,
( ~ spl0_11
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f2574]) ).
fof(f2610,plain,
( e13 = e10
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f802,f793]) ).
fof(f2611,plain,
( $false
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f2610,f214]) ).
fof(f2612,plain,
( ~ spl0_51
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f2611]) ).
fof(f2614,plain,
( e13 != op1(e13,e10)
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f750,f121]) ).
fof(f2615,plain,
( e13 != e13
| ~ spl0_51
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f802,f2614]) ).
fof(f2616,plain,
( $false
| ~ spl0_51
| ~ spl0_35 ),
inference(trivial_equality_resolution,[status(esa)],[f2615]) ).
fof(f2617,plain,
( ~ spl0_51
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f2616]) ).
fof(f2623,plain,
( h1(e10) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f880,f295]) ).
fof(f2624,plain,
( $false
| spl0_228
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2623,f1492]) ).
fof(f2625,plain,
( spl0_228
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2624]) ).
fof(f2628,plain,
( e20 = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f291,f1081]) ).
fof(f2629,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2628,f220]) ).
fof(f2630,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f2629]) ).
fof(f2635,plain,
( h4(e12) != op2(e22,e20)
| ~ spl0_34
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f747,f1962]) ).
fof(f2636,plain,
( e22 != op2(e22,e20)
| ~ spl0_34
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1898,f2635]) ).
fof(f2637,plain,
( h4(e13) != op2(e21,e23)
| ~ spl0_31
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f737,f1964]) ).
fof(f2638,plain,
( e23 != op2(e21,e23)
| ~ spl0_31
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f306,f2637]) ).
fof(f2639,plain,
( e23 != e23
| ~ spl0_95
| ~ spl0_31
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f977,f2638]) ).
fof(f2640,plain,
( $false
| ~ spl0_95
| ~ spl0_31
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f2639]) ).
fof(f2641,plain,
( ~ spl0_95
| ~ spl0_31
| spl0_206 ),
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2643,plain,
( h4(e10) != h1(e10)
| ~ spl0_0
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f637,f1985]) ).
fof(f2644,plain,
( e20 != h1(e10)
| ~ spl0_0
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1894,f2643]) ).
fof(f2649,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f2154]) ).
fof(f2650,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f2649]) ).
fof(f2656,plain,
( op2(e21,e20) != e21
| ~ spl0_240 ),
inference(forward_demodulation,[status(thm)],[f1539,f2172]) ).
fof(f2684,plain,
( op1(e11,e11) != e11
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f809,f126]) ).
fof(f2698,plain,
( op1(e10,e11) != e13
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f763,f123]) ).
fof(f2699,plain,
( ~ spl0_7
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2698,f658,f762]) ).
fof(f2716,plain,
( e10 != op1(e10,e11)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f637,f140]) ).
fof(f2717,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2716,f649,f636]) ).
fof(f2720,plain,
( h3(e13) != op2(e22,h3(e10))
| ~ spl0_51
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f802,f1994]) ).
fof(f2721,plain,
( e22 != op2(e22,h3(e10))
| ~ spl0_51
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f302,f2720]) ).
fof(f2723,plain,
( h3(e13) != op2(h3(e12),h3(e11))
| ~ spl0_39
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f763,f1341]) ).
fof(f2724,plain,
( e22 != op2(h3(e12),h3(e11))
| ~ spl0_39
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f302,f2723]) ).
fof(f2725,plain,
( h3(e12) != op2(h3(e12),h3(e10))
| ~ spl0_34
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f747,f1338]) ).
fof(f2726,plain,
( h3(e13) != op2(h3(e11),e22)
| ~ spl0_31
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f737,f1996]) ).
fof(f2727,plain,
( e22 != op2(h3(e11),e22)
| ~ spl0_31
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f302,f2726]) ).
fof(f2787,plain,
( e10 != op1(e12,e12)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f715,f131]) ).
fof(f2788,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f2787,f766,f714]) ).
fof(f2791,plain,
( e11 = e10
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f718,f715]) ).
fof(f2792,plain,
( $false
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f2791,f212]) ).
fof(f2793,plain,
( ~ spl0_25
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f2792]) ).
fof(f2794,plain,
( e13 = e10
| ~ spl0_39
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f763,f754]) ).
fof(f2795,plain,
( $false
| ~ spl0_39
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f2794,f214]) ).
fof(f2796,plain,
( ~ spl0_39
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f2795]) ).
fof(f2797,plain,
( $false
| ~ spl0_240
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f2656]) ).
fof(f2798,plain,
( ~ spl0_240
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f2797]) ).
fof(f2801,plain,
( h1(e12) = op2(e20,e20)
| ~ spl0_224 ),
inference(backward_demodulation,[status(thm)],[f1475,f1889]) ).
fof(f2806,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2427,f2519]) ).
fof(f2807,plain,
~ spl0_66,
inference(contradiction_clause,[status(thm)],[f2806]) ).
fof(f2808,plain,
( h4(e13) != op2(e23,e20)
| ~ spl0_51
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f802,f1953]) ).
fof(f2809,plain,
( e23 != op2(e23,e20)
| ~ spl0_51
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f306,f2808]) ).
fof(f2810,plain,
( e23 != e23
| ~ spl0_115
| ~ spl0_51
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1042,f2809]) ).
fof(f2811,plain,
( $false
| ~ spl0_115
| ~ spl0_51
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f2810]) ).
fof(f2812,plain,
( ~ spl0_115
| ~ spl0_51
| spl0_211 ),
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2815,plain,
( e23 = e20
| ~ spl0_115
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1042,f1033]) ).
fof(f2816,plain,
( $false
| ~ spl0_115
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f2815,f220]) ).
fof(f2817,plain,
( ~ spl0_115
| ~ spl0_112 ),
inference(contradiction_clause,[status(thm)],[f2816]) ).
fof(f2828,plain,
( h1(e10) != e21
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f906,f2164]) ).
fof(f2829,plain,
( ~ spl0_228
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f2828,f1490,f905]) ).
fof(f2830,plain,
( e20 != h3(e10)
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f994,f2178]) ).
fof(f2831,plain,
( ~ spl0_248
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f2830,f1570,f993]) ).
fof(f2836,plain,
( ~ spl0_68
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f2315,f889,f993]) ).
fof(f2843,plain,
( e23 = e22
| ~ spl0_99
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f990,f987]) ).
fof(f2844,plain,
( $false
| ~ spl0_99
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f2843,f223]) ).
fof(f2845,plain,
( ~ spl0_99
| ~ spl0_98 ),
inference(contradiction_clause,[status(thm)],[f2844]) ).
fof(f2885,plain,
( ~ spl0_21
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f2684,f704,f808]) ).
fof(f2887,plain,
( e10 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f288,f838]) ).
fof(f2888,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2887,f213]) ).
fof(f2889,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2888]) ).
fof(f2910,plain,
( e22 = op2(e21,e21)
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f2424,f299]) ).
fof(f2919,plain,
( h4(e13) != op2(e20,e22)
| ~ spl0_11
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f672,f1980]) ).
fof(f2920,plain,
( e23 != op2(e20,e22)
| ~ spl0_11
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f306,f2919]) ).
fof(f2925,plain,
( e20 != e20
| spl0_124 ),
inference(forward_demodulation,[status(thm)],[f291,f1073]) ).
fof(f2926,plain,
( $false
| spl0_124 ),
inference(trivial_equality_resolution,[status(esa)],[f2925]) ).
fof(f2927,plain,
spl0_124,
inference(contradiction_clause,[status(thm)],[f2926]) ).
fof(f2934,plain,
( op2(e21,e20) != e21
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f958,f195]) ).
fof(f2935,plain,
( ~ spl0_81
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2934,f931,f957]) ).
fof(f2936,plain,
( h4(e13) = op2(h4(e13),h4(e10))
| ~ spl0_51
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f802,f1422]) ).
fof(f2937,plain,
( e23 = op2(h4(e13),h4(e10))
| ~ spl0_51
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f306,f2936]) ).
fof(f2938,plain,
( e23 = op2(e23,h4(e10))
| ~ spl0_51
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f306,f2937]) ).
fof(f2939,plain,
( e23 = op2(e23,e20)
| ~ spl0_51
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1894,f2938]) ).
fof(f2941,plain,
( h3(e10) != e22
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f1065,f2180]) ).
fof(f2942,plain,
( h3(e10) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f1013,f303]) ).
fof(f2943,plain,
( $false
| ~ spl0_122
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f2942,f2941]) ).
fof(f2944,plain,
( ~ spl0_122
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f2943]) ).
fof(f2990,plain,
( e13 = e11
| ~ spl0_51
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f802,f796]) ).
fof(f2991,plain,
( $false
| ~ spl0_51
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f2990,f216]) ).
fof(f2992,plain,
( ~ spl0_51
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f2991]) ).
fof(f2996,plain,
( e11 != op1(e13,e12)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f718,f132]) ).
fof(f3009,plain,
( e22 != e22
| ~ spl0_98
| ~ spl0_34
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f987,f2636]) ).
fof(f3010,plain,
( $false
| ~ spl0_98
| ~ spl0_34
| spl0_207 ),
inference(trivial_equality_resolution,[status(esa)],[f3009]) ).
fof(f3011,plain,
( ~ spl0_98
| ~ spl0_34
| spl0_207 ),
inference(contradiction_clause,[status(thm)],[f3010]) ).
fof(f3053,plain,
( e20 != h3(e10)
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f981,f2179]) ).
fof(f3054,plain,
( ~ spl0_248
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f3053,f1570,f980]) ).
fof(f3056,plain,
( e22 = e20
| ~ spl0_98
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f987,f981]) ).
fof(f3057,plain,
( $false
| ~ spl0_98
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f3056,f219]) ).
fof(f3058,plain,
( ~ spl0_98
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f3057]) ).
fof(f3065,plain,
( e23 != h3(e10)
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f912,f2182]) ).
fof(f3073,plain,
( op2(e21,e20) != e23
| ~ spl0_51
| ~ spl0_211 ),
inference(backward_demodulation,[status(thm)],[f2939,f168]) ).
fof(f3074,plain,
( ~ spl0_83
| ~ spl0_51
| ~ spl0_211 ),
inference(split_clause,[status(thm)],[f3073,f937,f801,f1421]) ).
fof(f3075,plain,
( h1(e10) != e23
| ~ spl0_51
| ~ spl0_211 ),
inference(backward_demodulation,[status(thm)],[f2939,f2166]) ).
fof(f3084,plain,
( e21 = op2(e21,e21)
| ~ spl0_240 ),
inference(backward_demodulation,[status(thm)],[f1539,f299]) ).
fof(f3085,plain,
( e21 = e22
| ~ spl0_86
| ~ spl0_240 ),
inference(forward_demodulation,[status(thm)],[f2910,f3084]) ).
fof(f3086,plain,
( $false
| ~ spl0_86
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[status(thm)],[f3085,f221]) ).
fof(f3087,plain,
( ~ spl0_86
| ~ spl0_240 ),
inference(contradiction_clause,[status(thm)],[f3086]) ).
fof(f3091,plain,
( e21 = e20
| ~ spl0_89
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f958,f955]) ).
fof(f3092,plain,
( $false
| ~ spl0_89
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f3091,f218]) ).
fof(f3093,plain,
( ~ spl0_89
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f3092]) ).
fof(f3109,plain,
( op1(e11,e10) != e11
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f718,f147]) ).
fof(f3110,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f3109,f691,f717]) ).
fof(f3118,plain,
( ~ spl0_57
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2996,f821,f717]) ).
fof(f3143,plain,
( ~ spl0_75
| ~ spl0_11
| spl0_201 ),
inference(split_clause,[status(thm)],[f2920,f911,f671,f1391]) ).
fof(f3149,plain,
( e22 != e22
| ~ spl0_106
| spl0_256 ),
inference(forward_demodulation,[status(thm)],[f2942,f1604]) ).
fof(f3150,plain,
( $false
| ~ spl0_106
| spl0_256 ),
inference(trivial_equality_resolution,[status(esa)],[f3149]) ).
fof(f3151,plain,
( ~ spl0_106
| spl0_256 ),
inference(contradiction_clause,[status(thm)],[f3150]) ).
fof(f3169,plain,
( e20 = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f291,f1078]) ).
fof(f3170,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f3169,f219]) ).
fof(f3171,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f3170]) ).
fof(f3177,plain,
( e22 != h3(e10)
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f987,f2179]) ).
fof(f3178,plain,
( ~ spl0_256
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f3177,f1602,f986]) ).
fof(f3180,plain,
( h3(e12) = op2(e20,e22)
| ~ spl0_248 ),
inference(backward_demodulation,[status(thm)],[f1571,f1893]) ).
fof(f3181,plain,
( h3(e12) = e23
| ~ spl0_75
| ~ spl0_248 ),
inference(forward_demodulation,[status(thm)],[f912,f3180]) ).
fof(f3182,plain,
( $false
| spl0_197
| ~ spl0_75
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[status(thm)],[f3181,f1379]) ).
fof(f3183,plain,
( spl0_197
| ~ spl0_75
| ~ spl0_248 ),
inference(contradiction_clause,[status(thm)],[f3182]) ).
fof(f3215,plain,
( h3(e10) != op2(h3(e12),h3(e12))
| ~ spl0_40
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f767,f1344]) ).
fof(f3221,plain,
( e23 = e22
| ~ spl0_51
| ~ spl0_211
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f2939,f1039]) ).
fof(f3222,plain,
( $false
| ~ spl0_51
| ~ spl0_211
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f3221,f223]) ).
fof(f3223,plain,
( ~ spl0_51
| ~ spl0_211
| ~ spl0_114 ),
inference(contradiction_clause,[status(thm)],[f3222]) ).
fof(f3244,plain,
( ~ spl0_42
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f2359,f772,f824]) ).
fof(f3249,plain,
( e23 = e22
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1003,f1000]) ).
fof(f3250,plain,
( $false
| ~ spl0_103
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f3249,f223]) ).
fof(f3251,plain,
( ~ spl0_103
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f3250]) ).
fof(f3260,plain,
( e10 = e12
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f767,f773]) ).
fof(f3261,plain,
( $false
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f3260,f213]) ).
fof(f3262,plain,
( ~ spl0_40
| ~ spl0_42 ),
inference(contradiction_clause,[status(thm)],[f3261]) ).
fof(f3263,plain,
( op1(e10,e10) != e12
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f747,f117]) ).
fof(f3264,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f3263,f642,f746]) ).
fof(f3306,plain,
( ~ spl0_195
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f3065,f1369,f911]) ).
fof(f3310,plain,
( e21 = e22
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f2153,f1026]) ).
fof(f3311,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f3310,f221]) ).
fof(f3312,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f3311]) ).
fof(f3318,plain,
( e10 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f288,f841]) ).
fof(f3319,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f3318,f214]) ).
fof(f3320,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f3319]) ).
fof(f3321,plain,
( h3(e12) != op2(e22,h3(e11))
| ~ spl0_54
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f812,f1993]) ).
fof(f3331,plain,
( ~ spl0_224
| ~ spl0_0
| spl0_199 ),
inference(split_clause,[status(thm)],[f2644,f1474,f636,f1385]) ).
fof(f3337,plain,
( h1(e10) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f295,f886]) ).
fof(f3338,plain,
( $false
| ~ spl0_51
| ~ spl0_211
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f3337,f3075]) ).
fof(f3339,plain,
( ~ spl0_51
| ~ spl0_211
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f3338]) ).
fof(f3348,plain,
( h1(e12) = h1(e10)
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f295,f2801]) ).
fof(f3349,plain,
( h1(e12) = e20
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f1475,f3348]) ).
fof(f3360,plain,
( h4(e12) = op2(h4(e12),h4(e10))
| ~ spl0_34
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f747,f1410]) ).
fof(f3361,plain,
( e22 = op2(h4(e12),h4(e10))
| ~ spl0_34
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1898,f3360]) ).
fof(f3362,plain,
( e22 = op2(e22,h4(e10))
| ~ spl0_34
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1898,f3361]) ).
fof(f3363,plain,
( e22 = op2(e22,e20)
| ~ spl0_34
| ~ spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1894,f3362]) ).
fof(f3386,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| ~ spl0_20
| spl0_181 ),
inference(backward_demodulation,[status(thm)],[f702,f1329]) ).
fof(f3387,plain,
( e20 != op2(h3(e11),h3(e11))
| ~ spl0_248
| ~ spl0_20
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f1571,f3386]) ).
fof(f3390,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl0_104
| spl0_180 ),
inference(backward_demodulation,[status(thm)],[f2300,f1326]) ).
fof(f3391,plain,
( h3(e11) != op2(h3(e11),e20)
| ~ spl0_17
| ~ spl0_104
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f692,f3390]) ).
fof(f3392,plain,
( h3(op1(e10,e12)) != op2(e20,h3(e12))
| ~ spl0_104
| spl0_178 ),
inference(backward_demodulation,[status(thm)],[f2300,f1320]) ).
fof(f3393,plain,
( h3(e13) != op2(e20,h3(e12))
| ~ spl0_11
| ~ spl0_104
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f672,f3392]) ).
fof(f3394,plain,
( e22 != op2(e20,h3(e12))
| ~ spl0_11
| ~ spl0_104
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f302,f3393]) ).
fof(f3437,plain,
( e12 = e10
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f747,f741]) ).
fof(f3438,plain,
( $false
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f3437,f213]) ).
fof(f3439,plain,
( ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3479,plain,
( h3(e10) != op2(h3(e10),h3(e10))
| ~ spl0_0
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f637,f1314]) ).
fof(f3480,plain,
( e20 != op2(h3(e10),h3(e10))
| ~ spl0_248
| ~ spl0_0
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f1571,f3479]) ).
fof(f3481,plain,
( e20 != op2(e20,h3(e10))
| ~ spl0_248
| ~ spl0_0
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f1571,f3480]) ).
fof(f3482,plain,
( e20 != op2(e20,e20)
| ~ spl0_248
| ~ spl0_0
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f1571,f3481]) ).
fof(f3484,plain,
( h3(e12) != op2(h3(e12),e20)
| ~ spl0_248
| ~ spl0_34
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f1571,f2725]) ).
fof(f3485,plain,
( e20 != op2(h3(e12),h3(e12))
| ~ spl0_248
| ~ spl0_40
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1571,f3215]) ).
fof(f3494,plain,
( h3(e12) = e23
| ~ spl0_248
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f3180,f912]) ).
fof(f3507,plain,
( h3(e11) != op2(e22,h3(e12))
| ~ spl0_57
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f822,f1992]) ).
fof(f3508,plain,
( h3(e11) != op2(e22,e23)
| ~ spl0_248
| ~ spl0_75
| ~ spl0_57
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f3494,f3507]) ).
fof(f3515,plain,
( h3(e12) != op2(h3(e11),h3(e12))
| ~ spl0_26
| spl0_182 ),
inference(backward_demodulation,[status(thm)],[f721,f1332]) ).
fof(f3516,plain,
( e23 != op2(h3(e11),h3(e12))
| ~ spl0_248
| ~ spl0_75
| ~ spl0_26
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f3494,f3515]) ).
fof(f3517,plain,
( e23 != op2(h3(e11),e23)
| ~ spl0_248
| ~ spl0_75
| ~ spl0_26
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f3494,f3516]) ).
fof(f3531,plain,
( e20 = op2(e21,e21)
| ~ spl0_236 ),
inference(backward_demodulation,[status(thm)],[f1523,f299]) ).
fof(f3598,plain,
( h1(e11) != op2(h1(e10),h1(e11))
| ~ spl0_5
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f653,f1171]) ).
fof(f3599,plain,
( h1(e11) != op2(e20,h1(e11))
| ~ spl0_224
| ~ spl0_5
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f1475,f3598]) ).
fof(f3606,plain,
( h4(e10) = op2(h4(e10),h4(e10))
| ~ spl0_0
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f637,f1386]) ).
fof(f3607,plain,
( e20 = op2(h4(e10),h4(e10))
| ~ spl0_0
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1894,f3606]) ).
fof(f3608,plain,
( e20 = op2(e20,h4(e10))
| ~ spl0_0
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1894,f3607]) ).
fof(f3609,plain,
( e20 = op2(e20,e20)
| ~ spl0_0
| ~ spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1894,f3608]) ).
fof(f3610,plain,
( $false
| ~ spl0_248
| spl0_176
| ~ spl0_0
| ~ spl0_199 ),
inference(forward_subsumption_resolution,[status(thm)],[f3609,f3482]) ).
fof(f3611,plain,
( ~ spl0_248
| spl0_176
| ~ spl0_0
| ~ spl0_199 ),
inference(contradiction_clause,[status(thm)],[f3610]) ).
fof(f3612,plain,
( h4(e12) != op2(e23,e21)
| ~ spl0_54
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f812,f1951]) ).
fof(f3613,plain,
( e22 != op2(e23,e21)
| ~ spl0_54
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1898,f3612]) ).
fof(f3614,plain,
( e22 != e22
| ~ spl0_118
| ~ spl0_54
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1052,f3613]) ).
fof(f3615,plain,
( $false
| ~ spl0_118
| ~ spl0_54
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f3614]) ).
fof(f3616,plain,
( ~ spl0_118
| ~ spl0_54
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f3615]) ).
fof(f3620,plain,
( e20 = op2(e20,e20)
| ~ spl0_224 ),
inference(backward_demodulation,[status(thm)],[f1475,f295]) ).
fof(f3628,plain,
( h1(e11) = op2(e20,e20)
| ~ spl0_224 ),
inference(backward_demodulation,[status(thm)],[f3349,f2169]) ).
fof(f3629,plain,
( h1(e11) = e20
| ~ spl0_224 ),
inference(forward_demodulation,[status(thm)],[f3620,f3628]) ).
fof(f3663,plain,
( h3(e11) != op2(e20,h3(e11))
| ~ spl0_248
| ~ spl0_5
| spl0_177 ),
inference(backward_demodulation,[status(thm)],[f1571,f2209]) ).
fof(f3685,plain,
( e20 != op2(h3(e12),e23)
| ~ spl0_75
| ~ spl0_248
| ~ spl0_40
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f3494,f3485]) ).
fof(f3686,plain,
( e20 != op2(e23,e23)
| ~ spl0_75
| ~ spl0_248
| ~ spl0_40
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3494,f3685]) ).
fof(f3687,plain,
( e20 != e20
| ~ spl0_75
| ~ spl0_248
| ~ spl0_40
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f291,f3686]) ).
fof(f3688,plain,
( $false
| ~ spl0_75
| ~ spl0_248
| ~ spl0_40
| spl0_186 ),
inference(trivial_equality_resolution,[status(esa)],[f3687]) ).
fof(f3689,plain,
( ~ spl0_75
| ~ spl0_248
| ~ spl0_40
| spl0_186 ),
inference(contradiction_clause,[status(thm)],[f3688]) ).
fof(f3690,plain,
( h3(e12) != op2(e23,e20)
| ~ spl0_75
| ~ spl0_248
| ~ spl0_34
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f3494,f3484]) ).
fof(f3691,plain,
( e23 != op2(e23,e20)
| ~ spl0_75
| ~ spl0_248
| ~ spl0_34
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f3494,f3690]) ).
fof(f3692,plain,
( e23 != e23
| ~ spl0_51
| ~ spl0_211
| ~ spl0_75
| ~ spl0_248
| ~ spl0_34
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2939,f3691]) ).
fof(f3693,plain,
( $false
| ~ spl0_51
| ~ spl0_211
| ~ spl0_75
| ~ spl0_248
| ~ spl0_34
| spl0_184 ),
inference(trivial_equality_resolution,[status(esa)],[f3692]) ).
fof(f3694,plain,
( ~ spl0_51
| ~ spl0_211
| ~ spl0_75
| ~ spl0_248
| ~ spl0_34
| spl0_184 ),
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3696,plain,
( e22 != op2(e20,e23)
| ~ spl0_248
| ~ spl0_75
| ~ spl0_11
| ~ spl0_104
| spl0_178 ),
inference(backward_demodulation,[status(thm)],[f3494,f3394]) ).
fof(f3697,plain,
( e22 != e22
| ~ spl0_248
| ~ spl0_75
| ~ spl0_11
| ~ spl0_104
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f1887,f3696]) ).
fof(f3698,plain,
( $false
| ~ spl0_248
| ~ spl0_75
| ~ spl0_11
| ~ spl0_104
| spl0_178 ),
inference(trivial_equality_resolution,[status(esa)],[f3697]) ).
fof(f3699,plain,
( ~ spl0_248
| ~ spl0_75
| ~ spl0_11
| ~ spl0_104
| spl0_178 ),
inference(contradiction_clause,[status(thm)],[f3698]) ).
fof(f3703,plain,
( e23 != op2(e22,h3(e11))
| ~ spl0_248
| ~ spl0_75
| ~ spl0_54
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f3494,f3321]) ).
fof(f3704,plain,
( e22 != op2(e23,h3(e11))
| ~ spl0_248
| ~ spl0_75
| ~ spl0_39
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f3494,f2724]) ).
fof(f3705,plain,
( h3(e11) = op2(e23,e22)
| ~ spl0_248
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f3494,f2183]) ).
fof(f3706,plain,
( h3(e11) = e21
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f1062,f3705]) ).
fof(f3707,plain,
( $false
| spl0_253
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f3706,f1592]) ).
fof(f3708,plain,
( spl0_253
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f3707]) ).
fof(f3763,plain,
( h3(e11) != e21
| ~ spl0_248
| ~ spl0_75
| ~ spl0_57
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f2153,f3508]) ).
fof(f3764,plain,
( ~ spl0_253
| ~ spl0_248
| ~ spl0_75
| ~ spl0_57
| spl0_190 ),
inference(split_clause,[status(thm)],[f3763,f1590,f1570,f911,f821,f1354]) ).
fof(f3812,plain,
( e22 != op2(e22,e20)
| ~ spl0_248
| ~ spl0_51
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1571,f2721]) ).
fof(f3813,plain,
( e22 != e22
| ~ spl0_34
| ~ spl0_207
| ~ spl0_248
| ~ spl0_51
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f3363,f3812]) ).
fof(f3814,plain,
( $false
| ~ spl0_34
| ~ spl0_207
| ~ spl0_248
| ~ spl0_51
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f3813]) ).
fof(f3815,plain,
( ~ spl0_34
| ~ spl0_207
| ~ spl0_248
| ~ spl0_51
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f3814]) ).
fof(f3824,plain,
( e22 != op2(e23,e21)
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_39
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f3706,f3704]) ).
fof(f3825,plain,
( ~ spl0_118
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_39
| spl0_185 ),
inference(split_clause,[status(thm)],[f3824,f1051,f1061,f1570,f911,f762,f1339]) ).
fof(f3826,plain,
( e23 != op2(e22,e21)
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_54
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f3706,f3703]) ).
fof(f3827,plain,
( ~ spl0_103
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_54
| spl0_189 ),
inference(split_clause,[status(thm)],[f3826,f1002,f1061,f1570,f911,f811,f1351]) ).
fof(f3828,plain,
( h3(e11) != op2(e20,e21)
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_5
| spl0_177 ),
inference(backward_demodulation,[status(thm)],[f3706,f3663]) ).
fof(f3829,plain,
( e21 != op2(e20,e21)
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_5
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f3706,f3828]) ).
fof(f3830,plain,
( e21 != e21
| ~ spl0_69
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_5
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f893,f3829]) ).
fof(f3831,plain,
( $false
| ~ spl0_69
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_5
| spl0_177 ),
inference(trivial_equality_resolution,[status(esa)],[f3830]) ).
fof(f3832,plain,
( ~ spl0_69
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_5
| spl0_177 ),
inference(contradiction_clause,[status(thm)],[f3831]) ).
fof(f3833,plain,
( e23 != op2(e21,e23)
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_26
| spl0_182 ),
inference(backward_demodulation,[status(thm)],[f3706,f3517]) ).
fof(f3834,plain,
( ~ spl0_95
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_26
| spl0_182 ),
inference(split_clause,[status(thm)],[f3833,f976,f1061,f1570,f911,f720,f1330]) ).
fof(f3835,plain,
( e22 != op2(e21,e22)
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_31
| spl0_183 ),
inference(backward_demodulation,[status(thm)],[f3706,f2727]) ).
fof(f3836,plain,
( ~ spl0_90
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_31
| spl0_183 ),
inference(split_clause,[status(thm)],[f3835,f960,f1061,f1570,f911,f736,f1333]) ).
fof(f3837,plain,
( h3(e11) != op2(e21,e20)
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_17
| ~ spl0_104
| spl0_180 ),
inference(backward_demodulation,[status(thm)],[f3706,f3391]) ).
fof(f3838,plain,
( e21 != op2(e21,e20)
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_17
| ~ spl0_104
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f3706,f3837]) ).
fof(f3839,plain,
( e21 != e21
| ~ spl0_81
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_17
| ~ spl0_104
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f932,f3838]) ).
fof(f3840,plain,
( $false
| ~ spl0_81
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_17
| ~ spl0_104
| spl0_180 ),
inference(trivial_equality_resolution,[status(esa)],[f3839]) ).
fof(f3841,plain,
( ~ spl0_81
| ~ spl0_121
| ~ spl0_248
| ~ spl0_75
| ~ spl0_17
| ~ spl0_104
| spl0_180 ),
inference(contradiction_clause,[status(thm)],[f3840]) ).
fof(f3842,plain,
( e20 != op2(h3(e11),e21)
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_20
| spl0_181 ),
inference(backward_demodulation,[status(thm)],[f3706,f3387]) ).
fof(f3843,plain,
( e20 != op2(e21,e21)
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_20
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f3706,f3842]) ).
fof(f3844,plain,
( e20 != e20
| ~ spl0_236
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_20
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f3531,f3843]) ).
fof(f3845,plain,
( $false
| ~ spl0_236
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_20
| spl0_181 ),
inference(trivial_equality_resolution,[status(esa)],[f3844]) ).
fof(f3846,plain,
( ~ spl0_236
| ~ spl0_121
| ~ spl0_75
| ~ spl0_248
| ~ spl0_20
| spl0_181 ),
inference(contradiction_clause,[status(thm)],[f3845]) ).
fof(f3950,plain,
( h1(e11) != op2(e20,e20)
| ~ spl0_224
| ~ spl0_5
| spl0_131 ),
inference(backward_demodulation,[status(thm)],[f3629,f3599]) ).
fof(f3951,plain,
( e20 != op2(e20,e20)
| ~ spl0_224
| ~ spl0_5
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f3629,f3950]) ).
fof(f3952,plain,
( e20 != e20
| ~ spl0_224
| ~ spl0_5
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f3620,f3951]) ).
fof(f3953,plain,
( $false
| ~ spl0_224
| ~ spl0_5
| spl0_131 ),
inference(trivial_equality_resolution,[status(esa)],[f3952]) ).
fof(f3954,plain,
( ~ spl0_224
| ~ spl0_5
| spl0_131 ),
inference(contradiction_clause,[status(thm)],[f3953]) ).
fof(f3959,plain,
( e13 = e12
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f802,f799]) ).
fof(f3960,plain,
( $false
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f3959,f217]) ).
fof(f3961,plain,
( ~ spl0_51
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f3960]) ).
fof(f3962,plain,
$false,
inference(sat_refutation,[status(thm)],[f687,f713,f778,f791,f850,f852,f853,f855,f856,f860,f863,f865,f866,f869,f870,f872,f875,f888,f914,f1018,f1031,f1085,f1087,f1089,f1090,f1092,f1093,f1095,f1096,f1097,f1100,f1103,f1105,f1106,f1110,f1112,f1113,f1115,f1119,f1124,f1126,f1128,f1129,f1131,f1133,f1136,f1137,f1144,f1149,f1151,f1154,f1156,f1158,f1159,f1161,f1162,f1380,f1461,f1469,f1489,f1493,f1553,f1573,f1593,f1617,f1621,f1641,f1661,f1669,f1677,f1685,f1693,f1701,f1709,f1717,f1720,f1725,f1728,f1733,f1741,f1749,f1752,f1757,f1760,f1767,f1774,f1781,f1783,f1789,f1790,f1797,f1799,f1806,f1813,f1815,f1821,f1822,f1829,f1837,f1845,f1853,f1865,f1873,f1878,f1883,f1902,f1909,f1916,f1919,f1925,f1931,f1934,f1947,f1978,f1991,f2001,f2007,f2017,f2023,f2033,f2036,f2039,f2042,f2045,f2054,f2057,f2060,f2069,f2072,f2075,f2081,f2084,f2087,f2096,f2099,f2105,f2109,f2116,f2120,f2127,f2136,f2140,f2146,f2150,f2159,f2235,f2251,f2286,f2299,f2302,f2308,f2311,f2319,f2335,f2339,f2343,f2347,f2353,f2356,f2387,f2392,f2432,f2453,f2463,f2467,f2476,f2492,f2507,f2515,f2528,f2540,f2542,f2546,f2557,f2568,f2575,f2612,f2617,f2625,f2630,f2641,f2650,f2699,f2717,f2788,f2793,f2796,f2798,f2807,f2812,f2817,f2829,f2831,f2836,f2845,f2885,f2889,f2927,f2935,f2944,f2992,f3011,f3054,f3058,f3074,f3087,f3093,f3110,f3118,f3143,f3151,f3171,f3178,f3183,f3223,f3244,f3251,f3262,f3264,f3306,f3312,f3320,f3331,f3339,f3439,f3611,f3616,f3689,f3694,f3699,f3708,f3764,f3815,f3825,f3827,f3832,f3834,f3836,f3841,f3846,f3954,f3961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG123+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:27:58 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.35 % Drodi V3.6.0
% 0.17/0.57 % Refutation found
% 0.17/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.57/0.58 % Elapsed time: 0.248872 seconds
% 1.57/0.58 % CPU time: 1.677936 seconds
% 1.57/0.58 % Total memory used: 50.411 MB
% 1.57/0.58 % Net memory used: 49.211 MB
%------------------------------------------------------------------------------