TSTP Solution File: ALG127+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG127+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 20:10:05 EDT 2024
% Result : Theorem 6.03s 1.18s
% Output : CNFRefutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 319
% Syntax : Number of formulae : 2108 ( 169 unt; 0 def)
% Number of atoms : 12184 (7839 equ)
% Maximal formula atoms : 180 ( 5 avg)
% Number of connectives : 18394 (8318 ~;6957 |;2817 &)
% ( 254 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 304 ( 302 usr; 303 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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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(e13,e11) = 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(e13,e12) = 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,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(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,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(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(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 ) ) ) ),
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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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(e23,e21) = 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(e23,e22) = 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,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(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,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(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(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 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,op1(e12,e12)))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,op2(e22,e22)))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = e20
& h1(e10) = op2(e20,op2(e20,e20))
& h1(e11) = op2(e20,op2(e20,op2(e20,e20)))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = e21
& h2(e10) = op2(e21,op2(e21,e21))
& h2(e11) = op2(e21,op2(e21,op2(e21,e21)))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(e22,op2(e22,e22))
& h3(e11) = op2(e22,op2(e22,op2(e22,e22)))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = e23
& h4(e10) = op2(e23,op2(e23,e23))
& h4(e11) = op2(e23,op2(e23,op2(e23,e23)))
& h4(e13) = op2(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(f24,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = 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(f27,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(f43,plain,
( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = 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(f50,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = 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(f56,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
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(f63,plain,
( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
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(f69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = 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(f71,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f76,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
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(f88,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
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(f91,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = 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(f94,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
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(f98,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
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(f101,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = 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(f104,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
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(f108,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
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(f111,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = 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(f114,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
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(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f125,plain,
op1(e11,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(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
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(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != 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(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
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(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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(e13,e11) = 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(e13,e12) = 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,[f10]) ).
fof(f241,plain,
( pd0_1
=> ( ( 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(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(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,[f10]) ).
fof(f242,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 ) ) )
& ( pd0_1
| ( 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 ) ) ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( pd0_0
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f247,plain,
( pd0_0
| op1(e13,e13) != e13
| op1(e13,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f251,plain,
( pd0_1
| op1(e12,e12) != e13
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f253,plain,
( pd0_2
=> ( ( 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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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(e23,e21) = 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(e23,e22) = 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,[f11]) ).
fof(f254,plain,
( pd0_3
=> ( ( 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(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(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,[f11]) ).
fof(f255,plain,
( ( pd0_2
| ( 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 ) ) )
& ( pd0_3
| ( 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 ) ) ) ),
inference(formula_renaming,[status(thm)],[f11,f254,f253]) ).
fof(f256,plain,
( pd0_2
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f257,plain,
( pd0_2
| op2(e20,e20) != e23
| op2(e20,e23) != e20 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f260,plain,
( pd0_2
| op2(e23,e23) != e23
| op2(e23,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f264,plain,
( pd0_3
| op2(e22,e22) != e23
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f266,plain,
e10 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f267,plain,
e11 = op1(e12,op1(e12,op1(e12,e12))),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f268,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f269,plain,
e20 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f270,plain,
e21 = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f271,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f272,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f273,plain,
h1(e10) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f274,plain,
h1(e11) = op2(e20,op2(e20,op2(e20,e20))),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f275,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f276,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f277,plain,
h2(e10) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f278,plain,
h2(e11) = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f279,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f280,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f281,plain,
h3(e10) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f282,plain,
h3(e11) = op2(e22,op2(e22,op2(e22,e22))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f283,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f284,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f285,plain,
h4(e10) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f286,plain,
h4(e11) = op2(e23,op2(e23,op2(e23,e23))),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f287,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f288,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(f289,plain,
( pd0_4
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f290,plain,
( pd0_5
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f291,plain,
( pd0_6
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f292,plain,
( pd0_7
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f293,plain,
( pd0_8
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f294,plain,
( pd0_9
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f295,plain,
( pd0_10
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f296,plain,
( pd0_11
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f297,plain,
( pd0_12
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f298,plain,
( pd0_13
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f299,plain,
( pd0_14
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f300,plain,
( pd0_15
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f301,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_4
| pd0_5
| pd0_6
| ( 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_7
| pd0_8
| pd0_9
| ( 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_10
| pd0_11
| pd0_12
| ( 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_13
| pd0_14
| pd0_15
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).
fof(f313,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_10
| pd0_11
| pd0_12
| h3(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f316,plain,
( 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_13
| pd0_14
| pd0_15
| h4(e12) != e23 ),
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f318,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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(e13,e11) = 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(e13,e12) = 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)],[f240]) ).
fof(f319,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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(e13,e11) = 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,[f318]) ).
fof(f320,plain,
( ~ pd0_0
| pd0_16
| ( op1(e13,e12) = 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)],[f318,f319]) ).
fof(f321,plain,
( ~ pd0_0
| pd0_16
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f326,plain,
( ~ pd0_1
| ( 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(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(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)],[f241]) ).
fof(f327,plain,
( pd0_17
=> ( ( 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(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,[f326]) ).
fof(f328,plain,
( ~ pd0_1
| pd0_17
| ( 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)],[f326,f327]) ).
fof(f329,plain,
( ~ pd0_1
| pd0_17
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f334,plain,
( ~ pd0_2
| ( 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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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(e23,e21) = 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(e23,e22) = 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)],[f253]) ).
fof(f335,plain,
( pd0_18
=> ( ( 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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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(e23,e21) = 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,[f334]) ).
fof(f336,plain,
( ~ pd0_2
| pd0_18
| ( op2(e23,e22) = 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)],[f334,f335]) ).
fof(f337,plain,
( ~ pd0_2
| pd0_18
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f336]) ).
fof(f342,plain,
( ~ pd0_3
| ( 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(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(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)],[f254]) ).
fof(f343,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(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,[f342]) ).
fof(f344,plain,
( ~ pd0_3
| pd0_19
| ( 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)],[f342,f343]) ).
fof(f345,plain,
( ~ pd0_3
| pd0_19
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f344]) ).
fof(f350,plain,
( ~ pd0_4
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f289]) ).
fof(f353,plain,
( ~ pd0_4
| h1(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f360,plain,
( ~ pd0_6
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f364,plain,
( ~ pd0_6
| h1(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f360]) ).
fof(f370,plain,
( ~ pd0_8
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f293]) ).
fof(f373,plain,
( ~ pd0_8
| h2(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f370]) ).
fof(f380,plain,
( ~ pd0_10
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f295]) ).
fof(f381,plain,
( ~ pd0_10
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f385,plain,
( ~ pd0_11
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f296]) ).
fof(f387,plain,
( ~ pd0_11
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f385]) ).
fof(f390,plain,
( ~ pd0_12
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f393,plain,
( ~ pd0_12
| h3(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f390]) ).
fof(f395,plain,
( ~ pd0_13
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f298]) ).
fof(f397,plain,
( ~ pd0_13
| h4(e11) != e20 ),
inference(cnf_transformation,[status(esa)],[f395]) ).
fof(f400,plain,
( ~ pd0_14
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f299]) ).
fof(f401,plain,
( ~ pd0_14
| h4(e10) != e21 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f404,plain,
( ~ pd0_14
| h4(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f400]) ).
fof(f405,plain,
( ~ pd0_15
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f300]) ).
fof(f409,plain,
( ~ pd0_15
| h4(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f410,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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(e13,e11) = 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)],[f319]) ).
fof(f411,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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,[f410]) ).
fof(f412,plain,
( ~ pd0_16
| pd0_20
| ( op1(e13,e11) = 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)],[f410,f411]) ).
fof(f413,plain,
( ~ pd0_16
| pd0_20
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f415,plain,
( ~ pd0_16
| pd0_20
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f412]) ).
fof(f418,plain,
( ~ pd0_17
| ( 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(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)],[f327]) ).
fof(f419,plain,
( pd0_21
=> ( 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,[f418]) ).
fof(f420,plain,
( ~ pd0_17
| pd0_21
| ( 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)],[f418,f419]) ).
fof(f421,plain,
( ~ pd0_17
| pd0_21
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f422,plain,
( ~ pd0_17
| pd0_21
| op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f425,plain,
( ~ pd0_17
| pd0_21
| op1(e13,e13) != e11
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f426,plain,
( ~ pd0_18
| ( 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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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(e23,e21) = 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)],[f335]) ).
fof(f427,plain,
( pd0_22
=> ( ( 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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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,[f426]) ).
fof(f428,plain,
( ~ pd0_18
| pd0_22
| ( op2(e23,e21) = 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)],[f426,f427]) ).
fof(f429,plain,
( ~ pd0_18
| pd0_22
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f431,plain,
( ~ pd0_18
| pd0_22
| op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f433,plain,
( ~ pd0_18
| pd0_22
| op2(e23,e23) != e21
| op2(e23,e21) != e23 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f434,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(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)],[f343]) ).
fof(f435,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 ) ) ),
introduced(predicate_definition,[f434]) ).
fof(f436,plain,
( ~ pd0_19
| pd0_23
| ( 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)],[f434,f435]) ).
fof(f437,plain,
( ~ pd0_19
| pd0_23
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f436]) ).
fof(f438,plain,
( ~ pd0_19
| pd0_23
| op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f436]) ).
fof(f441,plain,
( ~ pd0_19
| pd0_23
| op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f436]) ).
fof(f442,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,e10) = 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)],[f411]) ).
fof(f443,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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,[f442]) ).
fof(f444,plain,
( ~ pd0_20
| pd0_24
| ( op1(e13,e10) = 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)],[f442,f443]) ).
fof(f445,plain,
( ~ pd0_20
| pd0_24
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f444]) ).
fof(f446,plain,
( ~ pd0_20
| pd0_24
| op1(e10,e10) != e10
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f444]) ).
fof(f450,plain,
( ~ pd0_21
| ( 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)],[f419]) ).
fof(f451,plain,
( ~ pd0_21
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f453,plain,
( ~ pd0_21
| op1(e11,e11) != e10
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f456,plain,
( ~ pd0_22
| ( 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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,e20) = 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)],[f427]) ).
fof(f457,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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,[f456]) ).
fof(f458,plain,
( ~ pd0_22
| pd0_25
| ( op2(e23,e20) = 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)],[f456,f457]) ).
fof(f459,plain,
( ~ pd0_22
| pd0_25
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f460,plain,
( ~ pd0_22
| pd0_25
| op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f464,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 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f435]) ).
fof(f465,plain,
( ~ pd0_23
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f464]) ).
fof(f467,plain,
( ~ pd0_23
| op2(e21,e21) != e20
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f464]) ).
fof(f470,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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) = 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)],[f443]) ).
fof(f471,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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,[f470]) ).
fof(f472,plain,
( ~ pd0_24
| pd0_26
| ( op1(e12,e13) = 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)],[f470,f471]) ).
fof(f473,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f472]) ).
fof(f478,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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) = 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)],[f457]) ).
fof(f479,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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,[f478]) ).
fof(f480,plain,
( ~ pd0_25
| pd0_27
| ( op2(e22,e23) = 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)],[f478,f479]) ).
fof(f481,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f480]) ).
fof(f486,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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(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)],[f471]) ).
fof(f487,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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,[f486]) ).
fof(f488,plain,
( ~ pd0_26
| pd0_28
| ( 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)],[f486,f487]) ).
fof(f489,plain,
( ~ pd0_26
| pd0_28
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f488]) ).
fof(f494,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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(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)],[f479]) ).
fof(f495,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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,[f494]) ).
fof(f496,plain,
( ~ pd0_27
| pd0_29
| ( 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)],[f494,f495]) ).
fof(f497,plain,
( ~ pd0_27
| pd0_29
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f496]) ).
fof(f502,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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(e12,e11) = 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)],[f487]) ).
fof(f503,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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,[f502]) ).
fof(f504,plain,
( ~ pd0_28
| pd0_30
| ( op1(e12,e11) = 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)],[f502,f503]) ).
fof(f507,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f504]) ).
fof(f510,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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(e22,e21) = 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)],[f495]) ).
fof(f511,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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,[f510]) ).
fof(f512,plain,
( ~ pd0_29
| pd0_31
| ( op2(e22,e21) = 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)],[f510,f511]) ).
fof(f515,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f512]) ).
fof(f517,plain,
( ~ pd0_29
| pd0_31
| op2(e23,e23) != e21
| op2(e23,e21) != e23 ),
inference(cnf_transformation,[status(esa)],[f512]) ).
fof(f518,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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(e12,e10) = 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)],[f503]) ).
fof(f519,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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,[f518]) ).
fof(f520,plain,
( ~ pd0_30
| pd0_32
| ( op1(e12,e10) = 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)],[f518,f519]) ).
fof(f521,plain,
( ~ pd0_30
| pd0_32
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f520]) ).
fof(f526,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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(e22,e20) = 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)],[f511]) ).
fof(f527,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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,[f526]) ).
fof(f528,plain,
( ~ pd0_31
| pd0_33
| ( op2(e22,e20) = 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)],[f526,f527]) ).
fof(f529,plain,
( ~ pd0_31
| pd0_33
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f528]) ).
fof(f534,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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(e11,e13) = 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)],[f519]) ).
fof(f535,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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,[f534]) ).
fof(f536,plain,
( ~ pd0_32
| pd0_34
| ( op1(e11,e13) = 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)],[f534,f535]) ).
fof(f537,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f536]) ).
fof(f539,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e11) != e13
| op1(e11,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f536]) ).
fof(f542,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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(e21,e23) = 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)],[f527]) ).
fof(f543,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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,[f542]) ).
fof(f544,plain,
( ~ pd0_33
| pd0_35
| ( op2(e21,e23) = 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)],[f542,f543]) ).
fof(f545,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f544]) ).
fof(f549,plain,
( ~ pd0_33
| pd0_35
| op2(e23,e23) != e23
| op2(e23,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f544]) ).
fof(f550,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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) = 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)],[f535]) ).
fof(f551,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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,[f550]) ).
fof(f552,plain,
( ~ pd0_34
| pd0_36
| ( op1(e11,e12) = 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)],[f550,f551]) ).
fof(f553,plain,
( ~ pd0_34
| pd0_36
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f552]) ).
fof(f558,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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) = 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)],[f543]) ).
fof(f559,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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,[f558]) ).
fof(f560,plain,
( ~ pd0_35
| pd0_37
| ( op2(e21,e22) = 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)],[f558,f559]) ).
fof(f561,plain,
( ~ pd0_35
| pd0_37
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f560]) ).
fof(f566,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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(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)],[f551]) ).
fof(f567,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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,[f566]) ).
fof(f568,plain,
( ~ pd0_36
| pd0_38
| ( 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)],[f566,f567]) ).
fof(f569,plain,
( ~ pd0_36
| pd0_38
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f568]) ).
fof(f571,plain,
( ~ pd0_36
| pd0_38
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f568]) ).
fof(f574,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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(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)],[f559]) ).
fof(f575,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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,[f574]) ).
fof(f576,plain,
( ~ pd0_37
| pd0_39
| ( 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)],[f574,f575]) ).
fof(f577,plain,
( ~ pd0_37
| pd0_39
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f579,plain,
( ~ pd0_37
| pd0_39
| op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f582,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) = 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(e10,e12) = 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(e10,e13) = 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(e11,e10) = 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)],[f567]) ).
fof(f583,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 ) )
| ( op1(e10,e11) = 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(e10,e12) = 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(e10,e13) = 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,[f582]) ).
fof(f584,plain,
( ~ pd0_38
| pd0_40
| ( op1(e11,e10) = 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)],[f582,f583]) ).
fof(f585,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f584]) ).
fof(f590,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) = 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(e20,e22) = 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(e20,e23) = 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(e21,e20) = 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)],[f575]) ).
fof(f591,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 ) )
| ( op2(e20,e21) = 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(e20,e22) = 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(e20,e23) = 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,[f590]) ).
fof(f592,plain,
( ~ pd0_39
| pd0_41
| ( op2(e21,e20) = 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)],[f590,f591]) ).
fof(f593,plain,
( ~ pd0_39
| pd0_41
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f592]) ).
fof(f594,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f592]) ).
fof(f598,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 ) )
| ( op1(e10,e11) = 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(e10,e12) = 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(e10,e13) = 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)],[f583]) ).
fof(f599,plain,
( pd0_42
=> ( ( 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) = 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(e10,e12) = 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,[f598]) ).
fof(f600,plain,
( ~ pd0_40
| pd0_42
| ( op1(e10,e13) = 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)],[f598,f599]) ).
fof(f601,plain,
( ~ pd0_40
| pd0_42
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f600]) ).
fof(f606,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 ) )
| ( op2(e20,e21) = 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(e20,e22) = 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(e20,e23) = 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)],[f591]) ).
fof(f607,plain,
( pd0_43
=> ( ( 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) = 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(e20,e22) = 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,[f606]) ).
fof(f608,plain,
( ~ pd0_41
| pd0_43
| ( op2(e20,e23) = 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)],[f606,f607]) ).
fof(f609,plain,
( ~ pd0_41
| pd0_43
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f608]) ).
fof(f610,plain,
( ~ pd0_41
| pd0_43
| op2(e20,e20) != e23
| op2(e20,e23) != e20 ),
inference(cnf_transformation,[status(esa)],[f608]) ).
fof(f613,plain,
( ~ pd0_41
| pd0_43
| op2(e23,e23) != e23
| op2(e23,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f608]) ).
fof(f614,plain,
( ~ pd0_42
| ( 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) = 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(e10,e12) = 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)],[f599]) ).
fof(f615,plain,
( pd0_44
=> ( ( 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) = 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,[f614]) ).
fof(f616,plain,
( ~ pd0_42
| pd0_44
| ( op1(e10,e12) = 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)],[f614,f615]) ).
fof(f617,plain,
( ~ pd0_42
| pd0_44
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f616]) ).
fof(f618,plain,
( ~ pd0_42
| pd0_44
| op1(e10,e10) != e12
| op1(e10,e12) != e10 ),
inference(cnf_transformation,[status(esa)],[f616]) ).
fof(f622,plain,
( ~ pd0_43
| ( 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) = 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(e20,e22) = 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)],[f607]) ).
fof(f623,plain,
( pd0_45
=> ( ( 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) = 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,[f622]) ).
fof(f624,plain,
( ~ pd0_43
| pd0_45
| ( op2(e20,e22) = 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)],[f622,f623]) ).
fof(f625,plain,
( ~ pd0_43
| pd0_45
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f624]) ).
fof(f626,plain,
( ~ pd0_43
| pd0_45
| op2(e20,e20) != e22
| op2(e20,e22) != e20 ),
inference(cnf_transformation,[status(esa)],[f624]) ).
fof(f630,plain,
( ~ pd0_44
| ( 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) = 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)],[f615]) ).
fof(f631,plain,
( pd0_46
=> ( 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,[f630]) ).
fof(f632,plain,
( ~ pd0_44
| pd0_46
| ( op1(e10,e11) = 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)],[f630,f631]) ).
fof(f633,plain,
( ~ pd0_44
| pd0_46
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f632]) ).
fof(f635,plain,
( ~ pd0_44
| pd0_46
| op1(e11,e11) != e11
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f632]) ).
fof(f638,plain,
( ~ pd0_45
| ( 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) = 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)],[f623]) ).
fof(f639,plain,
( pd0_47
=> ( 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,[f638]) ).
fof(f640,plain,
( ~ pd0_45
| pd0_47
| ( op2(e20,e21) = 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)],[f638,f639]) ).
fof(f641,plain,
( ~ pd0_45
| pd0_47
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f640]) ).
fof(f643,plain,
( ~ pd0_45
| pd0_47
| op2(e21,e21) != e21
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f640]) ).
fof(f646,plain,
( ~ pd0_46
| ( 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)],[f631]) ).
fof(f647,plain,
( ~ pd0_46
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f646]) ).
fof(f648,plain,
( ~ pd0_46
| op1(e10,e10) != e10
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f646]) ).
fof(f652,plain,
( ~ pd0_47
| ( 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)],[f639]) ).
fof(f653,plain,
( ~ pd0_47
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f652]) ).
fof(f654,plain,
( ~ pd0_47
| op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f652]) ).
fof(f658,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f671,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f684,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f694,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f693]) ).
fof(f697,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f707,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f706]) ).
fof(f709,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f23,f697,f700,f703,f706]) ).
fof(f710,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f24,f710,f713,f716,f719]) ).
fof(f723,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f732,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f733,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f732]) ).
fof(f735,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f723,f726,f729,f732]) ).
fof(f736,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f746,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f745]) ).
fof(f749,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f759,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f758]) ).
fof(f761,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f749,f752,f755,f758]) ).
fof(f762,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f772,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f28,f762,f765,f768,f771]) ).
fof(f775,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f785,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f788,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op1(e12,e12) != e13
| spl0_43 ),
inference(component_clause,[status(thm)],[f797]) ).
fof(f801,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( op1(e12,e13) != e10
| spl0_44 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f811,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f810]) ).
fof(f814,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f824,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f32,f814,f817,f820,f823]) ).
fof(f827,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f833,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f837,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f33,f827,f830,f833,f836]) ).
fof(f840,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f850,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f840,f843,f846,f849]) ).
fof(f853,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f854,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f856,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f859,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f859]) ).
fof(f862,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f865,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f853,f856,f859,f862]) ).
fof(f867,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f658,f710,f762,f814]) ).
fof(f868,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f38,f661,f674,f687,f700]) ).
fof(f871,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f664,f716,f768,f820]) ).
fof(f872,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f667,f680,f693,f706]) ).
fof(f873,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f43,f667,f719,f771,f823]) ).
fof(f874,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f710,f723,f736,f749]) ).
fof(f875,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f45,f671,f723,f775,f827]) ).
fof(f877,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f674,f726,f778,f830]) ).
fof(f878,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f48,f716,f729,f742,f755]) ).
fof(f880,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f50,f719,f732,f745,f758]) ).
fof(f883,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f53,f684,f736,f788,f840]) ).
fof(f885,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f687,f739,f791,f843]) ).
fof(f886,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f768,f781,f794,f807]) ).
fof(f887,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f690,f742,f794,f846]) ).
fof(f893,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f63,f700,f752,f804,f856]) ).
fof(f895,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f703,f755,f807,f859]) ).
fof(f896,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f66,f823,f836,f849,f862]) ).
fof(f897,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f706,f758,f810,f862]) ).
fof(f898,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f899,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f902,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f903,plain,
( op2(e20,e20) != e21
| spl0_65 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f908,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f911,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f912,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f915,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f921,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f923,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f69,f911,f914,f917,f920]) ).
fof(f924,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f925,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f931,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f934,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f924,f927,f930,f933]) ).
fof(f937,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f944,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f947,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f71,f937,f940,f943,f946]) ).
fof(f950,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f951,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f954,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f957,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f960,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f963,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f970,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f973,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f974,plain,
( op2(e21,e21) != e23
| spl0_87 ),
inference(component_clause,[status(thm)],[f972]) ).
fof(f975,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87 ),
inference(split_clause,[status(thm)],[f73,f963,f966,f969,f972]) ).
fof(f976,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f986,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f988,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f976,f979,f982,f985]) ).
fof(f989,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f993,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f999,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f998]) ).
fof(f1001,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f989,f992,f995,f998]) ).
fof(f1002,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1008,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1009,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1012,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f76,f1002,f1005,f1008,f1011]) ).
fof(f1015,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1024]) ).
fof(f1028,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1029,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1032,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1035,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( op2(e22,e22) != e23
| spl0_107 ),
inference(component_clause,[status(thm)],[f1037]) ).
fof(f1041,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1042,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1045,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1048,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1051,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1050]) ).
fof(f1054,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1055,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1058,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1061,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1064,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1067,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1071,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1074,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1077,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f1076]) ).
fof(f1079,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f1067,f1070,f1073,f1076]) ).
fof(f1080,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1081,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1084,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1087,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1090,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1092,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123 ),
inference(split_clause,[status(thm)],[f82,f1080,f1083,f1086,f1089]) ).
fof(f1093,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1094,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1095,plain,
( op2(e23,e23) != e20
| spl0_124 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1097,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1100,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1101,plain,
( op2(e23,e23) != e22
| spl0_126 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1103,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( spl0_124
| spl0_125
| spl0_126
| spl0_127 ),
inference(split_clause,[status(thm)],[f83,f1093,f1096,f1099,f1102]) ).
fof(f1106,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f898,f911,f924,f937]) ).
fof(f1107,plain,
( spl0_64
| spl0_80
| spl0_96
| spl0_112 ),
inference(split_clause,[status(thm)],[f85,f898,f950,f1002,f1054]) ).
fof(f1110,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f88,f904,f917,f930,f943]) ).
fof(f1111,plain,
( spl0_66
| spl0_82
| spl0_98
| spl0_114 ),
inference(split_clause,[status(thm)],[f89,f904,f956,f1008,f1060]) ).
fof(f1112,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f907,f920,f933,f946]) ).
fof(f1113,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f907,f959,f1011,f1063]) ).
fof(f1114,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f950,f963,f976,f989]) ).
fof(f1115,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f911,f963,f1015,f1067]) ).
fof(f1116,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f953,f966,f979,f992]) ).
fof(f1117,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f914,f966,f1018,f1070]) ).
fof(f1118,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f956,f969,f982,f995]) ).
fof(f1120,plain,
( spl0_83
| spl0_87
| spl0_91
| spl0_95 ),
inference(split_clause,[status(thm)],[f98,f959,f972,f985,f998]) ).
fof(f1121,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f920,f972,f1024,f1076]) ).
fof(f1122,plain,
( spl0_96
| spl0_100
| spl0_104
| spl0_108 ),
inference(split_clause,[status(thm)],[f100,f1002,f1015,f1028,f1041]) ).
fof(f1123,plain,
( spl0_72
| spl0_88
| spl0_104
| spl0_120 ),
inference(split_clause,[status(thm)],[f101,f924,f976,f1028,f1080]) ).
fof(f1125,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f103,f927,f979,f1031,f1083]) ).
fof(f1126,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f1008,f1021,f1034,f1047]) ).
fof(f1127,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f930,f982,f1034,f1086]) ).
fof(f1130,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f1054,f1067,f1080,f1093]) ).
fof(f1132,plain,
( spl0_113
| spl0_117
| spl0_121
| spl0_125 ),
inference(split_clause,[status(thm)],[f110,f1057,f1070,f1083,f1096]) ).
fof(f1133,plain,
( spl0_77
| spl0_93
| spl0_109
| spl0_125 ),
inference(split_clause,[status(thm)],[f111,f940,f992,f1044,f1096]) ).
fof(f1134,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f1060,f1073,f1086,f1099]) ).
fof(f1135,plain,
( spl0_78
| spl0_94
| spl0_110
| spl0_126 ),
inference(split_clause,[status(thm)],[f113,f943,f995,f1047,f1099]) ).
fof(f1136,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f1063,f1076,f1089,f1102]) ).
fof(f1137,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f946,f998,f1050,f1102]) ).
fof(f1138,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1141,plain,
( spl0_128
| spl0_63 ),
inference(split_clause,[status(thm)],[f243,f1138,f862]) ).
fof(f1145,plain,
( spl0_128
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f247,f1138,f862]) ).
fof(f1146,plain,
( spl0_129
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1152,plain,
( spl0_129
| ~ spl0_43
| spl0_46 ),
inference(split_clause,[status(thm)],[f251,f1146,f797,f807]) ).
fof(f1154,plain,
( spl0_130
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1157,plain,
( spl0_130
| spl0_127 ),
inference(split_clause,[status(thm)],[f256,f1154,f1102]) ).
fof(f1158,plain,
( spl0_130
| ~ spl0_67
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f257,f1154,f907,f937]) ).
fof(f1161,plain,
( spl0_130
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f260,f1154,f1102]) ).
fof(f1162,plain,
( spl0_131
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( spl0_131
| ~ spl0_107
| spl0_110 ),
inference(split_clause,[status(thm)],[f264,f1162,f1037,f1047]) ).
fof(f1194,plain,
( spl0_140
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1196,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl0_140 ),
inference(component_clause,[status(thm)],[f1194]) ).
fof(f1197,plain,
( spl0_141
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1199,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl0_141 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( spl0_142
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1202,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_142 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1203,plain,
( spl0_143
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1205,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl0_143 ),
inference(component_clause,[status(thm)],[f1203]) ).
fof(f1215,plain,
( spl0_147
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1217,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_147 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( spl0_148
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1224,plain,
( spl0_150
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1239,plain,
( spl0_154
<=> h1(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1241,plain,
( h1(e13) != e23
| spl0_154 ),
inference(component_clause,[status(thm)],[f1239]) ).
fof(f1243,plain,
( spl0_155
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1245,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_155 ),
inference(component_clause,[status(thm)],[f1243]) ).
fof(f1246,plain,
( spl0_156
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1248,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl0_156 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( spl0_157
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1251,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl0_157 ),
inference(component_clause,[status(thm)],[f1249]) ).
fof(f1252,plain,
( spl0_158
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1254,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_158 ),
inference(component_clause,[status(thm)],[f1252]) ).
fof(f1255,plain,
( spl0_159
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1257,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_159 ),
inference(component_clause,[status(thm)],[f1255]) ).
fof(f1258,plain,
( spl0_160
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1260,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_160 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1261,plain,
( spl0_161
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1263,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_161 ),
inference(component_clause,[status(thm)],[f1261]) ).
fof(f1264,plain,
( spl0_162
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1266,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1264]) ).
fof(f1267,plain,
( spl0_163
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1269,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_163 ),
inference(component_clause,[status(thm)],[f1267]) ).
fof(f1270,plain,
( spl0_164
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1272,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1270]) ).
fof(f1273,plain,
( spl0_165
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1275,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1273]) ).
fof(f1276,plain,
( spl0_166
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1278,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1276]) ).
fof(f1279,plain,
( spl0_167
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1281,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1279]) ).
fof(f1282,plain,
( spl0_168
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1284,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1282]) ).
fof(f1285,plain,
( spl0_169
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1286,plain,
( h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
| ~ spl0_169 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1285]) ).
fof(f1288,plain,
( spl0_170
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1289,plain,
( h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
| ~ spl0_170 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1290,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1288]) ).
fof(f1294,plain,
( spl0_172
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1312,plain,
( spl0_177
<=> h2(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1313,plain,
( h2(e13) = e23
| ~ spl0_177 ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1314,plain,
( h2(e13) != e23
| spl0_177 ),
inference(component_clause,[status(thm)],[f1312]) ).
fof(f1316,plain,
( spl0_178
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1318,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_178 ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1319,plain,
( spl0_179
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1320,plain,
( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
| ~ spl0_179 ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1321,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_179 ),
inference(component_clause,[status(thm)],[f1319]) ).
fof(f1322,plain,
( spl0_180
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1323,plain,
( h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
| ~ spl0_180 ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1324,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_180 ),
inference(component_clause,[status(thm)],[f1322]) ).
fof(f1325,plain,
( spl0_181
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1327,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_181 ),
inference(component_clause,[status(thm)],[f1325]) ).
fof(f1328,plain,
( spl0_182
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1329,plain,
( h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
| ~ spl0_182 ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1330,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_182 ),
inference(component_clause,[status(thm)],[f1328]) ).
fof(f1331,plain,
( spl0_183
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1332,plain,
( h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
| ~ spl0_183 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1333,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_183 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1334,plain,
( spl0_184
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1336,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_184 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( spl0_185
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1339,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,plain,
( spl0_186
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1342,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( spl0_187
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1345,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,plain,
( spl0_188
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1348,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( spl0_189
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1351,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,plain,
( spl0_190
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1354,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( spl0_191
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1357,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,plain,
( spl0_192
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1360,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,plain,
( spl0_193
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1363,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,plain,
( spl0_194
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1367,plain,
( spl0_195
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1370,plain,
( spl0_196
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1373,plain,
( spl0_197
<=> h3(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1374,plain,
( h3(e10) = e23
| ~ spl0_197 ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1375,plain,
( h3(e10) != e23
| spl0_197 ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1385,plain,
( spl0_200
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1386,plain,
( h3(e13) = e23
| ~ spl0_200 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1387,plain,
( h3(e13) != e23
| spl0_200 ),
inference(component_clause,[status(thm)],[f1385]) ).
fof(f1388,plain,
( ~ 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_195
| spl0_196
| ~ spl0_200 ),
inference(split_clause,[status(thm)],[f313,f1316,f1319,f1322,f1325,f1328,f1331,f1334,f1337,f1340,f1343,f1346,f1349,f1352,f1355,f1358,f1361,f1364,f1367,f1370,f1385]) ).
fof(f1389,plain,
( spl0_201
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1391,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_201 ),
inference(component_clause,[status(thm)],[f1389]) ).
fof(f1392,plain,
( spl0_202
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1394,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl0_202 ),
inference(component_clause,[status(thm)],[f1392]) ).
fof(f1395,plain,
( spl0_203
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1397,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_203 ),
inference(component_clause,[status(thm)],[f1395]) ).
fof(f1398,plain,
( spl0_204
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1400,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_204 ),
inference(component_clause,[status(thm)],[f1398]) ).
fof(f1401,plain,
( spl0_205
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1403,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_205 ),
inference(component_clause,[status(thm)],[f1401]) ).
fof(f1404,plain,
( spl0_206
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1405,plain,
( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
| ~ spl0_206 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1406,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_206 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1407,plain,
( spl0_207
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1409,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl0_207 ),
inference(component_clause,[status(thm)],[f1407]) ).
fof(f1410,plain,
( spl0_208
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1412,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl0_208 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1413,plain,
( spl0_209
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1415,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1413]) ).
fof(f1416,plain,
( spl0_210
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1418,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_210 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,plain,
( spl0_211
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1421,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1419]) ).
fof(f1422,plain,
( spl0_212
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1424,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1422]) ).
fof(f1425,plain,
( spl0_213
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1427,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_213 ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1428,plain,
( spl0_214
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1430,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1428]) ).
fof(f1431,plain,
( spl0_215
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1433,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1431]) ).
fof(f1434,plain,
( spl0_216
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1436,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1434]) ).
fof(f1437,plain,
( spl0_217
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1440,plain,
( spl0_218
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1443,plain,
( spl0_219
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1454,plain,
( spl0_222
<=> h4(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1455,plain,
( h4(e12) = e23
| ~ spl0_222 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1456,plain,
( h4(e12) != e23
| spl0_222 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1457,plain,
( ~ spl0_201
| ~ spl0_202
| ~ spl0_203
| ~ spl0_204
| ~ spl0_205
| ~ spl0_206
| ~ spl0_207
| ~ spl0_208
| ~ spl0_209
| ~ spl0_210
| ~ spl0_211
| ~ spl0_212
| ~ spl0_213
| ~ spl0_214
| ~ spl0_215
| ~ spl0_216
| spl0_217
| spl0_218
| spl0_219
| ~ spl0_222 ),
inference(split_clause,[status(thm)],[f316,f1389,f1392,f1395,f1398,f1401,f1404,f1407,f1410,f1413,f1416,f1419,f1422,f1425,f1428,f1431,f1434,f1437,f1440,f1443,f1454]) ).
fof(f1458,plain,
( spl0_223
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1459,plain,
( h4(e13) = e23
| ~ spl0_223 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1460,plain,
( h4(e13) != e23
| spl0_223 ),
inference(component_clause,[status(thm)],[f1458]) ).
fof(f1462,plain,
( spl0_224
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( ~ spl0_128
| spl0_224
| spl0_59 ),
inference(split_clause,[status(thm)],[f321,f1138,f1462,f849]) ).
fof(f1470,plain,
( spl0_225
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1473,plain,
( ~ spl0_129
| spl0_225
| spl0_42 ),
inference(split_clause,[status(thm)],[f329,f1146,f1470,f794]) ).
fof(f1478,plain,
( spl0_226
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( ~ spl0_130
| spl0_226
| spl0_123 ),
inference(split_clause,[status(thm)],[f337,f1154,f1478,f1089]) ).
fof(f1486,plain,
( spl0_227
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1489,plain,
( ~ spl0_131
| spl0_227
| spl0_106 ),
inference(split_clause,[status(thm)],[f345,f1162,f1486,f1034]) ).
fof(f1494,plain,
( spl0_228
<=> h1(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1496,plain,
( h1(e10) != e20
| spl0_228 ),
inference(component_clause,[status(thm)],[f1494]) ).
fof(f1498,plain,
( spl0_229
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1500,plain,
( h1(e11) != e20
| spl0_229 ),
inference(component_clause,[status(thm)],[f1498]) ).
fof(f1502,plain,
( spl0_230
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1503,plain,
( h1(e12) = e20
| ~ spl0_230 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( h1(e12) != e20
| spl0_230 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,plain,
( ~ spl0_148
| ~ spl0_230 ),
inference(split_clause,[status(thm)],[f353,f1218,f1502]) ).
fof(f1506,plain,
( spl0_231
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1507,plain,
( h1(e13) = e20
| ~ spl0_231 ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1508,plain,
( h1(e13) != e20
| spl0_231 ),
inference(component_clause,[status(thm)],[f1506]) ).
fof(f1522,plain,
( spl0_235
<=> h1(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1523,plain,
( h1(e13) = e21
| ~ spl0_235 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
( h1(e13) != e21
| spl0_235 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1530,plain,
( spl0_237
<=> h1(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1531,plain,
( h1(e11) = e22
| ~ spl0_237 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1532,plain,
( h1(e11) != e22
| spl0_237 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1538,plain,
( spl0_239
<=> h1(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1539,plain,
( h1(e13) = e22
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1540,plain,
( h1(e13) != e22
| spl0_239 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1541,plain,
( ~ spl0_150
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f364,f1224,f1538]) ).
fof(f1554,plain,
( spl0_243
<=> h2(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1555,plain,
( h2(e13) = e20
| ~ spl0_243 ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1556,plain,
( h2(e13) != e20
| spl0_243 ),
inference(component_clause,[status(thm)],[f1554]) ).
fof(f1562,plain,
( spl0_245
<=> h2(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1564,plain,
( h2(e11) != e21
| spl0_245 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1566,plain,
( spl0_246
<=> h2(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1567,plain,
( h2(e12) = e21
| ~ spl0_246 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1568,plain,
( h2(e12) != e21
| spl0_246 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,plain,
( ~ spl0_172
| ~ spl0_246 ),
inference(split_clause,[status(thm)],[f373,f1294,f1566]) ).
fof(f1570,plain,
( spl0_247
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1571,plain,
( h2(e13) = e21
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1572,plain,
( h2(e13) != e21
| spl0_247 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1586,plain,
( spl0_251
<=> h2(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1587,plain,
( h2(e13) = e22
| ~ spl0_251 ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1588,plain,
( h2(e13) != e22
| spl0_251 ),
inference(component_clause,[status(thm)],[f1586]) ).
fof(f1590,plain,
( spl0_252
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1591,plain,
( h3(e10) = e20
| ~ spl0_252 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1592,plain,
( h3(e10) != e20
| spl0_252 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1593,plain,
( ~ spl0_194
| ~ spl0_252 ),
inference(split_clause,[status(thm)],[f381,f1364,f1590]) ).
fof(f1606,plain,
( spl0_256
<=> h3(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1607,plain,
( h3(e10) = e21
| ~ spl0_256 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
( h3(e10) != e21
| spl0_256 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1610,plain,
( spl0_257
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1612,plain,
( h3(e11) != e21
| spl0_257 ),
inference(component_clause,[status(thm)],[f1610]) ).
fof(f1613,plain,
( ~ spl0_195
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f387,f1367,f1610]) ).
fof(f1622,plain,
( spl0_260
<=> h3(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1623,plain,
( h3(e10) = e22
| ~ spl0_260 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( h3(e10) != e22
| spl0_260 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1630,plain,
( spl0_262
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1631,plain,
( h3(e12) = e22
| ~ spl0_262 ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1632,plain,
( h3(e12) != e22
| spl0_262 ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,plain,
( ~ spl0_196
| ~ spl0_262 ),
inference(split_clause,[status(thm)],[f393,f1370,f1630]) ).
fof(f1642,plain,
( spl0_265
<=> h4(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1643,plain,
( h4(e11) = e20
| ~ spl0_265 ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1644,plain,
( h4(e11) != e20
| spl0_265 ),
inference(component_clause,[status(thm)],[f1642]) ).
fof(f1645,plain,
( ~ spl0_217
| ~ spl0_265 ),
inference(split_clause,[status(thm)],[f397,f1437,f1642]) ).
fof(f1650,plain,
( spl0_267
<=> h4(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1654,plain,
( spl0_268
<=> h4(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1656,plain,
( h4(e10) != e21
| spl0_268 ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1657,plain,
( ~ spl0_218
| ~ spl0_268 ),
inference(split_clause,[status(thm)],[f401,f1440,f1654]) ).
fof(f1666,plain,
( spl0_271
<=> h4(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1667,plain,
( h4(e13) = e21
| ~ spl0_271 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1668,plain,
( h4(e13) != e21
| spl0_271 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,plain,
( ~ spl0_218
| ~ spl0_271 ),
inference(split_clause,[status(thm)],[f404,f1440,f1666]) ).
fof(f1682,plain,
( spl0_275
<=> h4(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1683,plain,
( h4(e13) = e22
| ~ spl0_275 ),
inference(component_clause,[status(thm)],[f1682]) ).
fof(f1684,plain,
( h4(e13) != e22
| spl0_275 ),
inference(component_clause,[status(thm)],[f1682]) ).
fof(f1685,plain,
( ~ spl0_219
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f409,f1443,f1682]) ).
fof(f1686,plain,
( spl0_276
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1689,plain,
( ~ spl0_224
| spl0_276
| spl0_55 ),
inference(split_clause,[status(thm)],[f413,f1462,f1686,f836]) ).
fof(f1691,plain,
( ~ spl0_224
| spl0_276
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f415,f1462,f1686,f726]) ).
fof(f1694,plain,
( spl0_277
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1697,plain,
( ~ spl0_225
| spl0_277
| spl0_21 ),
inference(split_clause,[status(thm)],[f421,f1470,f1694,f726]) ).
fof(f1698,plain,
( ~ spl0_225
| spl0_277
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f422,f1470,f1694,f661,f671]) ).
fof(f1701,plain,
( ~ spl0_225
| spl0_277
| ~ spl0_61
| spl0_55 ),
inference(split_clause,[status(thm)],[f425,f1470,f1694,f856,f836]) ).
fof(f1702,plain,
( spl0_278
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1705,plain,
( ~ spl0_226
| spl0_278
| spl0_119 ),
inference(split_clause,[status(thm)],[f429,f1478,f1702,f1076]) ).
fof(f1707,plain,
( ~ spl0_226
| spl0_278
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f431,f1478,f1702,f966]) ).
fof(f1709,plain,
( ~ spl0_226
| spl0_278
| ~ spl0_125
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f433,f1478,f1702,f1096,f1076]) ).
fof(f1710,plain,
( spl0_279
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1713,plain,
( ~ spl0_227
| spl0_279
| spl0_85 ),
inference(split_clause,[status(thm)],[f437,f1486,f1710,f966]) ).
fof(f1714,plain,
( ~ spl0_227
| spl0_279
| ~ spl0_65
| spl0_68 ),
inference(split_clause,[status(thm)],[f438,f1486,f1710,f901,f911]) ).
fof(f1717,plain,
( ~ spl0_227
| spl0_279
| ~ spl0_125
| spl0_119 ),
inference(split_clause,[status(thm)],[f441,f1486,f1710,f1096,f1076]) ).
fof(f1718,plain,
( spl0_280
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1721,plain,
( ~ spl0_276
| spl0_280
| spl0_51 ),
inference(split_clause,[status(thm)],[f445,f1686,f1718,f823]) ).
fof(f1722,plain,
( ~ spl0_276
| spl0_280
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f446,f1686,f1718,f658]) ).
fof(f1726,plain,
( ~ spl0_277
| spl0_0 ),
inference(split_clause,[status(thm)],[f451,f1694,f658]) ).
fof(f1728,plain,
( ~ spl0_277
| ~ spl0_20
| spl0_17 ),
inference(split_clause,[status(thm)],[f453,f1694,f723,f713]) ).
fof(f1731,plain,
( spl0_281
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1734,plain,
( ~ spl0_278
| spl0_281
| spl0_115 ),
inference(split_clause,[status(thm)],[f459,f1702,f1731,f1063]) ).
fof(f1735,plain,
( ~ spl0_278
| spl0_281
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f460,f1702,f1731,f898]) ).
fof(f1739,plain,
( ~ spl0_279
| spl0_64 ),
inference(split_clause,[status(thm)],[f465,f1710,f898]) ).
fof(f1741,plain,
( ~ spl0_279
| ~ spl0_84
| spl0_81 ),
inference(split_clause,[status(thm)],[f467,f1710,f963,f953]) ).
fof(f1744,plain,
( spl0_282
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1747,plain,
( ~ spl0_280
| spl0_282
| spl0_46 ),
inference(split_clause,[status(thm)],[f473,f1718,f1744,f807]) ).
fof(f1752,plain,
( spl0_283
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1755,plain,
( ~ spl0_281
| spl0_283
| spl0_110 ),
inference(split_clause,[status(thm)],[f481,f1731,f1752,f1047]) ).
fof(f1760,plain,
( spl0_284
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1763,plain,
( ~ spl0_282
| spl0_284
| spl0_42 ),
inference(split_clause,[status(thm)],[f489,f1744,f1760,f794]) ).
fof(f1768,plain,
( spl0_285
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1771,plain,
( ~ spl0_283
| spl0_285
| spl0_106 ),
inference(split_clause,[status(thm)],[f497,f1752,f1768,f1034]) ).
fof(f1776,plain,
( spl0_286
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1781,plain,
( ~ spl0_284
| spl0_286
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f507,f1760,f1776,f726]) ).
fof(f1784,plain,
( spl0_287
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1789,plain,
( ~ spl0_285
| spl0_287
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f515,f1768,f1784,f966]) ).
fof(f1791,plain,
( ~ spl0_285
| spl0_287
| ~ spl0_125
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f517,f1768,f1784,f1096,f1076]) ).
fof(f1792,plain,
( spl0_288
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1795,plain,
( ~ spl0_286
| spl0_288
| spl0_34 ),
inference(split_clause,[status(thm)],[f521,f1776,f1792,f768]) ).
fof(f1800,plain,
( spl0_289
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1803,plain,
( ~ spl0_287
| spl0_289
| spl0_98 ),
inference(split_clause,[status(thm)],[f529,f1784,f1800,f1008]) ).
fof(f1808,plain,
( spl0_290
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1811,plain,
( ~ spl0_288
| spl0_290
| spl0_29 ),
inference(split_clause,[status(thm)],[f537,f1792,f1808,f752]) ).
fof(f1813,plain,
( ~ spl0_288
| spl0_290
| ~ spl0_23
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f539,f1792,f1808,f732,f752]) ).
fof(f1816,plain,
( spl0_291
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1819,plain,
( ~ spl0_289
| spl0_291
| spl0_93 ),
inference(split_clause,[status(thm)],[f545,f1800,f1816,f992]) ).
fof(f1823,plain,
( ~ spl0_289
| spl0_291
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f549,f1800,f1816,f1102]) ).
fof(f1824,plain,
( spl0_292
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1827,plain,
( ~ spl0_290
| spl0_292
| spl0_25 ),
inference(split_clause,[status(thm)],[f553,f1808,f1824,f739]) ).
fof(f1832,plain,
( spl0_293
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1835,plain,
( ~ spl0_291
| spl0_293
| spl0_89 ),
inference(split_clause,[status(thm)],[f561,f1816,f1832,f979]) ).
fof(f1840,plain,
( spl0_294
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1843,plain,
( ~ spl0_292
| spl0_294
| spl0_21 ),
inference(split_clause,[status(thm)],[f569,f1824,f1840,f726]) ).
fof(f1845,plain,
( ~ spl0_292
| spl0_294
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f571,f1824,f1840,f726]) ).
fof(f1848,plain,
( spl0_295
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1851,plain,
( ~ spl0_293
| spl0_295
| spl0_85 ),
inference(split_clause,[status(thm)],[f577,f1832,f1848,f966]) ).
fof(f1853,plain,
( ~ spl0_293
| spl0_295
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f579,f1832,f1848,f966]) ).
fof(f1856,plain,
( spl0_296
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1859,plain,
( ~ spl0_294
| spl0_296
| spl0_17 ),
inference(split_clause,[status(thm)],[f585,f1840,f1856,f713]) ).
fof(f1864,plain,
( spl0_297
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1867,plain,
( ~ spl0_295
| spl0_297
| spl0_81 ),
inference(split_clause,[status(thm)],[f593,f1848,f1864,f953]) ).
fof(f1868,plain,
( ~ spl0_295
| spl0_297
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f594,f1848,f1864,f898]) ).
fof(f1872,plain,
( spl0_298
<=> pd0_42 ),
introduced(split_symbol_definition) ).
fof(f1875,plain,
( ~ spl0_296
| spl0_298
| spl0_12 ),
inference(split_clause,[status(thm)],[f601,f1856,f1872,f697]) ).
fof(f1880,plain,
( spl0_299
<=> pd0_43 ),
introduced(split_symbol_definition) ).
fof(f1883,plain,
( ~ spl0_297
| spl0_299
| spl0_76 ),
inference(split_clause,[status(thm)],[f609,f1864,f1880,f937]) ).
fof(f1884,plain,
( ~ spl0_297
| spl0_299
| ~ spl0_67
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f610,f1864,f1880,f907,f937]) ).
fof(f1887,plain,
( ~ spl0_297
| spl0_299
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f613,f1864,f1880,f1102]) ).
fof(f1888,plain,
( spl0_300
<=> pd0_44 ),
introduced(split_symbol_definition) ).
fof(f1891,plain,
( ~ spl0_298
| spl0_300
| spl0_8 ),
inference(split_clause,[status(thm)],[f617,f1872,f1888,f684]) ).
fof(f1892,plain,
( ~ spl0_298
| spl0_300
| ~ spl0_2
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f618,f1872,f1888,f664,f684]) ).
fof(f1896,plain,
( spl0_301
<=> pd0_45 ),
introduced(split_symbol_definition) ).
fof(f1899,plain,
( ~ spl0_299
| spl0_301
| spl0_72 ),
inference(split_clause,[status(thm)],[f625,f1880,f1896,f924]) ).
fof(f1900,plain,
( ~ spl0_299
| spl0_301
| ~ spl0_66
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f626,f1880,f1896,f904,f924]) ).
fof(f1904,plain,
( spl0_302
<=> pd0_46 ),
introduced(split_symbol_definition) ).
fof(f1907,plain,
( ~ spl0_300
| spl0_302
| spl0_4 ),
inference(split_clause,[status(thm)],[f633,f1888,f1904,f671]) ).
fof(f1909,plain,
( ~ spl0_300
| spl0_302
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f635,f1888,f1904,f726]) ).
fof(f1912,plain,
( spl0_303
<=> pd0_47 ),
introduced(split_symbol_definition) ).
fof(f1915,plain,
( ~ spl0_301
| spl0_303
| spl0_68 ),
inference(split_clause,[status(thm)],[f641,f1896,f1912,f911]) ).
fof(f1917,plain,
( ~ spl0_301
| spl0_303
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f643,f1896,f1912,f966]) ).
fof(f1920,plain,
( ~ spl0_302
| spl0_0 ),
inference(split_clause,[status(thm)],[f647,f1904,f658]) ).
fof(f1921,plain,
( ~ spl0_302
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f648,f1904,f658]) ).
fof(f1925,plain,
( ~ spl0_303
| spl0_64 ),
inference(split_clause,[status(thm)],[f653,f1912,f898]) ).
fof(f1926,plain,
( ~ spl0_303
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f654,f1912,f898]) ).
fof(f1930,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[status(thm)],[f266,f267]) ).
fof(f1931,plain,
( h1(e11) != op2(h1(e12),h1(e10))
| spl0_140 ),
inference(backward_demodulation,[status(thm)],[f1930,f1196]) ).
fof(f1935,plain,
e11 != op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f1930,f121]) ).
fof(f1938,plain,
( h2(e11) != op2(h2(e12),h2(e10))
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f1930,f1269]) ).
fof(f1939,plain,
( h3(e11) != op2(h3(e12),h3(e10))
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f1930,f1342]) ).
fof(f1940,plain,
( h4(e11) != op2(h4(e12),h4(e10))
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f1930,f1415]) ).
fof(f1941,plain,
e10 = op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f268,f266]) ).
fof(f1942,plain,
( h1(e13) != op2(h1(e12),h1(e12))
| spl0_142 ),
inference(backward_demodulation,[status(thm)],[f268,f1202]) ).
fof(f1945,plain,
e13 != op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f268,f133]) ).
fof(f1946,plain,
op1(e11,e12) != e13,
inference(backward_demodulation,[status(thm)],[f268,f131]) ).
fof(f1947,plain,
op1(e10,e12) != e13,
inference(backward_demodulation,[status(thm)],[f268,f129]) ).
fof(f1948,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f268,f1275]) ).
fof(f1949,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f268,f1348]) ).
fof(f1950,plain,
( h4(e13) != op2(h4(e12),h4(e12))
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f268,f1421]) ).
fof(f1951,plain,
e21 = op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f269,f270]) ).
fof(f1958,plain,
e20 = op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f271,f269]) ).
fof(f1961,plain,
e23 != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f271,f181]) ).
fof(f1964,plain,
( $false
| spl0_230 ),
inference(forward_subsumption_resolution,[status(thm)],[f272,f1504]) ).
fof(f1965,plain,
spl0_230,
inference(contradiction_clause,[status(thm)],[f1964]) ).
fof(f1966,plain,
h1(e11) = op2(e20,h1(e10)),
inference(forward_demodulation,[status(thm)],[f273,f274]) ).
fof(f1967,plain,
h1(e10) = op2(e20,h1(e13)),
inference(backward_demodulation,[status(thm)],[f275,f273]) ).
fof(f1968,plain,
h1(e13) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f275,f190]) ).
fof(f1969,plain,
h1(e13) != op2(e20,e22),
inference(backward_demodulation,[status(thm)],[f275,f189]) ).
fof(f1970,plain,
h1(e13) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f275,f188]) ).
fof(f1971,plain,
h1(e13) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f275,f166]) ).
fof(f1972,plain,
h1(e13) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f275,f164]) ).
fof(f1973,plain,
( $false
| spl0_246 ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f1568]) ).
fof(f1974,plain,
spl0_246,
inference(contradiction_clause,[status(thm)],[f1973]) ).
fof(f1975,plain,
h2(e11) = op2(e21,h2(e10)),
inference(forward_demodulation,[status(thm)],[f277,f278]) ).
fof(f1976,plain,
h2(e10) = op2(e21,h2(e13)),
inference(backward_demodulation,[status(thm)],[f279,f277]) ).
fof(f1977,plain,
h2(e13) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f279,f198]) ).
fof(f1978,plain,
h2(e13) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f279,f197]) ).
fof(f1979,plain,
op2(e21,e20) != h2(e13),
inference(backward_demodulation,[status(thm)],[f279,f194]) ).
fof(f1980,plain,
h2(e13) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f279,f174]) ).
fof(f1981,plain,
h2(e13) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f279,f173]) ).
fof(f1982,plain,
op2(e20,e21) != h2(e13),
inference(backward_demodulation,[status(thm)],[f279,f170]) ).
fof(f1983,plain,
( $false
| spl0_262 ),
inference(forward_subsumption_resolution,[status(thm)],[f280,f1632]) ).
fof(f1984,plain,
spl0_262,
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1985,plain,
h3(e10) = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f271,f281]) ).
fof(f1987,plain,
h3(e10) != op2(e23,e23),
inference(backward_demodulation,[status(thm)],[f1985,f187]) ).
fof(f1988,plain,
op2(e21,e23) != h3(e10),
inference(backward_demodulation,[status(thm)],[f1985,f185]) ).
fof(f1990,plain,
h3(e11) = op2(e22,op2(e22,e23)),
inference(forward_demodulation,[status(thm)],[f271,f282]) ).
fof(f1991,plain,
h3(e11) = op2(e22,h3(e10)),
inference(forward_demodulation,[status(thm)],[f1985,f1990]) ).
fof(f1992,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f271,f283]) ).
fof(f1993,plain,
( $false
| spl0_200 ),
inference(forward_subsumption_resolution,[status(thm)],[f1992,f1387]) ).
fof(f1994,plain,
spl0_200,
inference(contradiction_clause,[status(thm)],[f1993]) ).
fof(f1995,plain,
( $false
| spl0_222 ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f1456]) ).
fof(f1996,plain,
spl0_222,
inference(contradiction_clause,[status(thm)],[f1995]) ).
fof(f1997,plain,
h4(e11) = op2(e23,h4(e10)),
inference(forward_demodulation,[status(thm)],[f285,f286]) ).
fof(f1998,plain,
h4(e10) = op2(e23,h4(e13)),
inference(backward_demodulation,[status(thm)],[f287,f285]) ).
fof(f1999,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f211]) ).
fof(f2000,plain,
op2(e23,e21) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f210]) ).
fof(f2001,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f208]) ).
fof(f2002,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f186]) ).
fof(f2003,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f184]) ).
fof(f2004,plain,
( h3(e10) = e23
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f1985,f1051]) ).
fof(f2005,plain,
( $false
| spl0_197
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f1375]) ).
fof(f2006,plain,
( spl0_197
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f2005]) ).
fof(f2009,plain,
( op2(e21,e20) != e23
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f999,f196]) ).
fof(f2010,plain,
( op2(e20,e23) != e23
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f999,f182]) ).
fof(f2011,plain,
( op2(e20,e22) != e23
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f947,f193]) ).
fof(f2012,plain,
( op2(e20,e21) != e23
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f947,f192]) ).
fof(f2013,plain,
( e23 = e22
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f999,f996]) ).
fof(f2014,plain,
( $false
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2013,f223]) ).
fof(f2015,plain,
( ~ spl0_95
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2014]) ).
fof(f2017,plain,
( e23 = e22
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f947,f944]) ).
fof(f2018,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2017,f223]) ).
fof(f2019,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2018]) ).
fof(f2022,plain,
( op2(e21,e22) != e22
| ~ spl0_122 ),
inference(backward_demodulation,[status(thm)],[f1087,f180]) ).
fof(f2025,plain,
( op2(e22,e21) != e22
| ~ spl0_118 ),
inference(backward_demodulation,[status(thm)],[f1074,f175]) ).
fof(f2028,plain,
( h3(e10) = e21
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f1985,f1045]) ).
fof(f2029,plain,
( $false
| spl0_256
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f2028,f1608]) ).
fof(f2030,plain,
( spl0_256
| ~ spl0_109 ),
inference(contradiction_clause,[status(thm)],[f2029]) ).
fof(f2032,plain,
( e22 = e21
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f1087,f1084]) ).
fof(f2033,plain,
( $false
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2032,f221]) ).
fof(f2034,plain,
( ~ spl0_122
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f2033]) ).
fof(f2040,plain,
( h4(e13) = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f287,f1100]) ).
fof(f2041,plain,
( $false
| spl0_275
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2040,f1684]) ).
fof(f2042,plain,
( spl0_275
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2044,plain,
( h4(e13) = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f287,f1094]) ).
fof(f2047,plain,
( h2(e13) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f279,f964]) ).
fof(f2048,plain,
( $false
| spl0_243
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2047,f1556]) ).
fof(f2049,plain,
( spl0_243
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2048]) ).
fof(f2050,plain,
( h4(e13) != e22
| spl0_126 ),
inference(forward_demodulation,[status(thm)],[f287,f1101]) ).
fof(f2051,plain,
( h3(e10) = e22
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f1985,f1048]) ).
fof(f2052,plain,
( $false
| spl0_260
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f2051,f1624]) ).
fof(f2053,plain,
( spl0_260
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f2052]) ).
fof(f2054,plain,
( e21 = e20
| ~ spl0_77
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f941,f938]) ).
fof(f2055,plain,
( $false
| ~ spl0_77
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f2054,f218]) ).
fof(f2056,plain,
( ~ spl0_77
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f2055]) ).
fof(f2057,plain,
( h4(e13) = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f287,f1097]) ).
fof(f2058,plain,
( $false
| spl0_271
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2057,f1668]) ).
fof(f2059,plain,
( spl0_271
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2058]) ).
fof(f2060,plain,
( h4(e13) != e20
| spl0_124 ),
inference(forward_demodulation,[status(thm)],[f287,f1095]) ).
fof(f2061,plain,
( h2(e13) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f279,f970]) ).
fof(f2062,plain,
( $false
| spl0_251
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2061,f1588]) ).
fof(f2063,plain,
( spl0_251
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2066,plain,
( h2(e13) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f279,f973]) ).
fof(f2067,plain,
( h1(e13) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f275,f908]) ).
fof(f2069,plain,
( e22 = e23
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f1061,f1064]) ).
fof(f2070,plain,
( $false
| ~ spl0_114
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f2069,f223]) ).
fof(f2071,plain,
( ~ spl0_114
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f2070]) ).
fof(f2072,plain,
( e21 = e22
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1951,f1009]) ).
fof(f2073,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f221]) ).
fof(f2074,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2075,plain,
( h1(e13) = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f275,f905]) ).
fof(f2076,plain,
( $false
| spl0_239
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2075,f1540]) ).
fof(f2077,plain,
( spl0_239
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2076]) ).
fof(f2079,plain,
( h4(e13) = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f287,f1103]) ).
fof(f2080,plain,
( $false
| spl0_223
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f1460]) ).
fof(f2081,plain,
( spl0_223
| ~ spl0_127 ),
inference(contradiction_clause,[status(thm)],[f2080]) ).
fof(f2084,plain,
( h3(e10) = e20
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1985,f1042]) ).
fof(f2085,plain,
( $false
| spl0_252
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f2084,f1592]) ).
fof(f2086,plain,
( spl0_252
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f2085]) ).
fof(f2088,plain,
( e21 = e20
| ~ spl0_113
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1058,f1055]) ).
fof(f2089,plain,
( $false
| ~ spl0_113
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f2088,f218]) ).
fof(f2090,plain,
( ~ spl0_113
| ~ spl0_112 ),
inference(contradiction_clause,[status(thm)],[f2089]) ).
fof(f2091,plain,
( e20 = e21
| ~ spl0_116
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f1068,f1071]) ).
fof(f2092,plain,
( $false
| ~ spl0_116
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f2091,f218]) ).
fof(f2093,plain,
( ~ spl0_116
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f2092]) ).
fof(f2099,plain,
( e21 = e23
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1951,f1012]) ).
fof(f2100,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2099,f222]) ).
fof(f2101,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f2100]) ).
fof(f2103,plain,
( e23 = e22
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f986,f983]) ).
fof(f2104,plain,
( $false
| ~ spl0_91
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f2103,f223]) ).
fof(f2105,plain,
( ~ spl0_91
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f2104]) ).
fof(f2106,plain,
( e23 != op2(e21,e22)
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f934,f176]) ).
fof(f2107,plain,
( e23 = e22
| ~ spl0_75
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f934,f931]) ).
fof(f2108,plain,
( $false
| ~ spl0_75
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f2107,f223]) ).
fof(f2109,plain,
( ~ spl0_75
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f2108]) ).
fof(f2113,plain,
( e21 = e20
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f1951,f1003]) ).
fof(f2114,plain,
( $false
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f2113,f218]) ).
fof(f2115,plain,
~ spl0_96,
inference(contradiction_clause,[status(thm)],[f2114]) ).
fof(f2120,plain,
( e23 = e22
| ~ spl0_83
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f960,f957]) ).
fof(f2121,plain,
( $false
| ~ spl0_83
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f223]) ).
fof(f2122,plain,
( ~ spl0_83
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2121]) ).
fof(f2133,plain,
( op1(e11,e11) != e13
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f759,f150]) ).
fof(f2134,plain,
( op1(e11,e10) != e13
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f759,f148]) ).
fof(f2135,plain,
( e13 != op1(e13,e13)
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f759,f138]) ).
fof(f2139,plain,
( h4(e13) != op2(h4(e11),h4(e13))
| ~ spl0_31
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f759,f1412]) ).
fof(f2142,plain,
( op1(e10,e11) != e13
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f707,f144]) ).
fof(f2144,plain,
( e13 != op1(e13,e13)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f707,f136]) ).
fof(f2145,plain,
( h2(e13) != op2(h2(e10),h2(e13))
| ~ spl0_15
| spl0_158 ),
inference(backward_demodulation,[status(thm)],[f707,f1254]) ).
fof(f2146,plain,
( h3(e13) != op2(h3(e10),h3(e13))
| ~ spl0_15
| spl0_181 ),
inference(backward_demodulation,[status(thm)],[f707,f1327]) ).
fof(f2148,plain,
( e13 = e12
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f759,f756]) ).
fof(f2149,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f2148,f217]) ).
fof(f2150,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2151,plain,
( e13 != op1(e11,e13)
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f707,f134]) ).
fof(f2152,plain,
( e13 = e12
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f707,f704]) ).
fof(f2153,plain,
( $false
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2152,f217]) ).
fof(f2154,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2153]) ).
fof(f2155,plain,
( e12 != op1(e13,e13)
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f847,f163]) ).
fof(f2157,plain,
( op1(e13,e10) != e12
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f847,f159]) ).
fof(f2174,plain,
( e12 != op1(e13,e13)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f821,f160]) ).
fof(f2175,plain,
( op1(e11,e10) != e12
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f821,f120]) ).
fof(f2183,plain,
( e12 = e11
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f847,f844]) ).
fof(f2184,plain,
( $false
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f2183,f215]) ).
fof(f2185,plain,
( ~ spl0_58
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2184]) ).
fof(f2214,plain,
( e11 = e13
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f1930,f772]) ).
fof(f2215,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2214,f216]) ).
fof(f2216,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f2215]) ).
fof(f2218,plain,
( e11 = e13
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f701,f707]) ).
fof(f2219,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f2218,f216]) ).
fof(f2220,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f2219]) ).
fof(f2225,plain,
( e10 = e13
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f815,f824]) ).
fof(f2226,plain,
( $false
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2225,f214]) ).
fof(f2227,plain,
( ~ spl0_48
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2226]) ).
fof(f2234,plain,
( ~ spl0_63
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2135,f862,f758]) ).
fof(f2235,plain,
( e11 = e12
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f1930,f769]) ).
fof(f2236,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2235,f215]) ).
fof(f2237,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f2236]) ).
fof(f2243,plain,
( e10 = e13
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f802,f811]) ).
fof(f2244,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f2243,f214]) ).
fof(f2245,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f2244]) ).
fof(f2252,plain,
( e10 = e12
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f841,f847]) ).
fof(f2253,plain,
( $false
| ~ spl0_56
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f2252,f213]) ).
fof(f2254,plain,
( ~ spl0_56
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f2253]) ).
fof(f2255,plain,
( e12 = e11
| ~ spl0_10
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f691,f688]) ).
fof(f2256,plain,
( $false
| ~ spl0_10
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f2255,f215]) ).
fof(f2257,plain,
( ~ spl0_10
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f2256]) ).
fof(f2258,plain,
( e12 = e10
| ~ spl0_26
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f743,f737]) ).
fof(f2259,plain,
( $false
| ~ spl0_26
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f2258,f213]) ).
fof(f2260,plain,
( ~ spl0_26
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f2259]) ).
fof(f2264,plain,
( e11 = e10
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f1930,f763]) ).
fof(f2265,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f2264,f212]) ).
fof(f2266,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f2265]) ).
fof(f2274,plain,
( h4(e13) != op2(h4(e10),h4(e11))
| ~ spl0_7
| spl0_202 ),
inference(backward_demodulation,[status(thm)],[f681,f1394]) ).
fof(f2276,plain,
( e13 != op1(e11,e11)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f720,f146]) ).
fof(f2277,plain,
( op1(e10,e10) != e13
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f720,f116]) ).
fof(f2278,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2277,f667,f719]) ).
fof(f2282,plain,
( e12 = e11
| ~ spl0_6
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f678,f675]) ).
fof(f2283,plain,
( $false
| ~ spl0_6
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f2282,f215]) ).
fof(f2284,plain,
( ~ spl0_6
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f2283]) ).
fof(f2285,plain,
( e12 != e12
| ~ spl0_18
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f717,f2175]) ).
fof(f2286,plain,
( $false
| ~ spl0_18
| ~ spl0_50 ),
inference(trivial_equality_resolution,[status(esa)],[f2285]) ).
fof(f2287,plain,
( ~ spl0_18
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2291,plain,
( e12 = e10
| ~ spl0_18
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f717,f711]) ).
fof(f2292,plain,
( $false
| ~ spl0_18
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f213]) ).
fof(f2293,plain,
( ~ spl0_18
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2292]) ).
fof(f2295,plain,
( e21 = e20
| ~ spl0_69
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f915,f912]) ).
fof(f2296,plain,
( $false
| ~ spl0_69
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f218]) ).
fof(f2297,plain,
( ~ spl0_69
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2296]) ).
fof(f2298,plain,
( h1(e13) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f275,f902]) ).
fof(f2299,plain,
( $false
| spl0_235
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2298,f1524]) ).
fof(f2300,plain,
( spl0_235
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2299]) ).
fof(f2301,plain,
( h1(e13) != e21
| spl0_65 ),
inference(forward_demodulation,[status(thm)],[f275,f903]) ).
fof(f2306,plain,
( e13 = e12
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f268,f795]) ).
fof(f2307,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f2306,f217]) ).
fof(f2308,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2309,plain,
( h3(e12) != op2(h3(e11),h3(e10))
| ~ spl0_18
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f717,f1330]) ).
fof(f2310,plain,
( h2(e12) != op2(h2(e11),h2(e10))
| ~ spl0_18
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f717,f1257]) ).
fof(f2312,plain,
( e13 = e11
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f268,f792]) ).
fof(f2313,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f2312,f216]) ).
fof(f2314,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f2313]) ).
fof(f2316,plain,
( e23 = e21
| ~ spl0_119
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f1077,f1071]) ).
fof(f2317,plain,
( $false
| ~ spl0_119
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f222]) ).
fof(f2318,plain,
( ~ spl0_119
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2322,plain,
( h2(e13) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f279,f967]) ).
fof(f2323,plain,
( $false
| spl0_247
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f2322,f1572]) ).
fof(f2324,plain,
( spl0_247
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f2323]) ).
fof(f2325,plain,
( $false
| spl0_177
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f2066,f1314]) ).
fof(f2326,plain,
( spl0_177
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f2325]) ).
fof(f2340,plain,
( h3(op1(e13,e13)) != op2(h3(e13),e23)
| ~ spl0_200
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f1386,f1363]) ).
fof(f2341,plain,
( h3(op1(e13,e13)) != op2(e23,e23)
| ~ spl0_200
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1386,f2340]) ).
fof(f2342,plain,
( h3(op1(e13,e13)) != h4(e13)
| ~ spl0_200
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f287,f2341]) ).
fof(f2343,plain,
( h4(e13) != op2(h4(e12),e23)
| ~ spl0_222
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f1455,f1950]) ).
fof(f2344,plain,
( h4(e13) != op2(e23,e23)
| ~ spl0_222
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1455,f2343]) ).
fof(f2345,plain,
( h4(e13) != h4(e13)
| ~ spl0_222
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f287,f2344]) ).
fof(f2346,plain,
( $false
| ~ spl0_222
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f2345]) ).
fof(f2347,plain,
( ~ spl0_222
| spl0_211 ),
inference(contradiction_clause,[status(thm)],[f2346]) ).
fof(f2348,plain,
( h4(e11) != op2(e23,h4(e10))
| ~ spl0_222
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f1455,f1940]) ).
fof(f2349,plain,
( h4(e11) != h4(e11)
| ~ spl0_222
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f1997,f2348]) ).
fof(f2350,plain,
( $false
| ~ spl0_222
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f2349]) ).
fof(f2351,plain,
( ~ spl0_222
| spl0_209 ),
inference(contradiction_clause,[status(thm)],[f2350]) ).
fof(f2364,plain,
( e22 = op2(e22,e23)
| ~ spl0_260 ),
inference(backward_demodulation,[status(thm)],[f1623,f1985]) ).
fof(f2370,plain,
( h4(op1(e12,e13)) != op2(e23,h4(e13))
| ~ spl0_222
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1455,f1424]) ).
fof(f2379,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f1455,f1397]) ).
fof(f2382,plain,
( h4(op1(e12,e11)) != op2(e23,h4(e11))
| ~ spl0_222
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1455,f1418]) ).
fof(f2383,plain,
( h4(e12) != op2(h4(e11),h4(e10))
| ~ spl0_18
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f717,f1403]) ).
fof(f2384,plain,
( e23 != op2(h4(e11),h4(e10))
| ~ spl0_222
| ~ spl0_18
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1455,f2383]) ).
fof(f2387,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| ~ spl0_200
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1386,f1360]) ).
fof(f2388,plain,
( h3(op1(e13,e12)) != op2(e23,e22)
| ~ spl0_262
| ~ spl0_200
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1631,f2387]) ).
fof(f2395,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| ~ spl0_200
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1386,f1354]) ).
fof(f2398,plain,
( h3(op1(e12,e13)) != op2(e22,h3(e13))
| ~ spl0_262
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1631,f1351]) ).
fof(f2399,plain,
( h3(op1(e12,e13)) != op2(e22,e23)
| ~ spl0_200
| ~ spl0_262
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1386,f2398]) ).
fof(f2400,plain,
( e23 != op2(h3(e12),h3(e12))
| ~ spl0_200
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1386,f1949]) ).
fof(f2401,plain,
( e23 != op2(e22,h3(e12))
| ~ spl0_262
| ~ spl0_200
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1631,f2400]) ).
fof(f2402,plain,
( e23 != op2(e22,e22)
| ~ spl0_262
| ~ spl0_200
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1631,f2401]) ).
fof(f2403,plain,
( e23 != e23
| ~ spl0_262
| ~ spl0_200
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f271,f2402]) ).
fof(f2404,plain,
( $false
| ~ spl0_262
| ~ spl0_200
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f2403]) ).
fof(f2405,plain,
( ~ spl0_262
| ~ spl0_200
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f2404]) ).
fof(f2410,plain,
( h3(op1(e12,e11)) != op2(e22,h3(e11))
| ~ spl0_262
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1631,f1345]) ).
fof(f2411,plain,
( h3(e11) != op2(e22,h3(e10))
| ~ spl0_262
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1631,f1939]) ).
fof(f2414,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| ~ spl0_200
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1386,f1339]) ).
fof(f2419,plain,
( e22 != op2(h3(e11),h3(e10))
| ~ spl0_262
| ~ spl0_18
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1631,f2309]) ).
fof(f2430,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| ~ spl0_246
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1567,f1287]) ).
fof(f2433,plain,
( h2(op1(e12,e13)) != op2(e21,h2(e13))
| ~ spl0_246
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f1567,f1278]) ).
fof(f2434,plain,
( h2(e13) != op2(e21,h2(e12))
| ~ spl0_246
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1567,f1948]) ).
fof(f2435,plain,
( h2(e13) != op2(e21,e21)
| ~ spl0_246
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1567,f2434]) ).
fof(f2436,plain,
( h2(e13) != h2(e13)
| ~ spl0_246
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f279,f2435]) ).
fof(f2437,plain,
( $false
| ~ spl0_246
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f2436]) ).
fof(f2438,plain,
( ~ spl0_246
| spl0_165 ),
inference(contradiction_clause,[status(thm)],[f2437]) ).
fof(f2442,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| ~ spl0_246
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1567,f1272]) ).
fof(f2443,plain,
( h2(e11) != op2(e21,h2(e10))
| ~ spl0_246
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f1567,f1938]) ).
fof(f2444,plain,
( h2(e11) != h2(e11)
| ~ spl0_246
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f1975,f2443]) ).
fof(f2445,plain,
( $false
| ~ spl0_246
| spl0_163 ),
inference(trivial_equality_resolution,[status(esa)],[f2444]) ).
fof(f2446,plain,
( ~ spl0_246
| spl0_163 ),
inference(contradiction_clause,[status(thm)],[f2445]) ).
fof(f2451,plain,
( h2(e12) != op2(e21,h2(e11))
| ~ spl0_38
| ~ spl0_246
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f782,f2442]) ).
fof(f2452,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_38
| ~ spl0_246
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1567,f2451]) ).
fof(f2453,plain,
( h3(e12) != op2(e22,h3(e11))
| ~ spl0_38
| ~ spl0_262
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f782,f2410]) ).
fof(f2454,plain,
( e22 != op2(e22,h3(e11))
| ~ spl0_38
| ~ spl0_262
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1631,f2453]) ).
fof(f2455,plain,
( h4(e12) != op2(e23,h4(e11))
| ~ spl0_38
| ~ spl0_222
| spl0_210 ),
inference(backward_demodulation,[status(thm)],[f782,f2382]) ).
fof(f2456,plain,
( h2(e10) != op2(e21,h2(e13))
| ~ spl0_246
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f1941,f2433]) ).
fof(f2457,plain,
( h3(e10) != op2(e22,e23)
| ~ spl0_200
| ~ spl0_262
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f1941,f2399]) ).
fof(f2471,plain,
( op2(e23,e21) != e23
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1459,f2000]) ).
fof(f2472,plain,
( op2(e23,e20) != e23
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1459,f2001]) ).
fof(f2473,plain,
( op2(e21,e23) != e23
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1459,f2002]) ).
fof(f2474,plain,
( op2(e20,e23) != e23
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f1459,f2003]) ).
fof(f2478,plain,
( op2(e23,e21) != e20
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f1081,f209]) ).
fof(f2485,plain,
( e20 = e22
| ~ spl0_100
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1016,f1022]) ).
fof(f2486,plain,
( $false
| ~ spl0_100
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2485,f219]) ).
fof(f2487,plain,
( ~ spl0_100
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2486]) ).
fof(f2488,plain,
( h2(e13) != e23
| spl0_87 ),
inference(forward_demodulation,[status(thm)],[f279,f974]) ).
fof(f2489,plain,
( ~ spl0_177
| spl0_87 ),
inference(split_clause,[status(thm)],[f2488,f1312,f972]) ).
fof(f2490,plain,
( ~ spl0_267
| spl0_124 ),
inference(split_clause,[status(thm)],[f2060,f1650,f1093]) ).
fof(f2491,plain,
( e23 = e21
| ~ spl0_223
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f1459,f2057]) ).
fof(f2492,plain,
( $false
| ~ spl0_223
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2491,f222]) ).
fof(f2493,plain,
( ~ spl0_223
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2497,plain,
( e23 = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f271,f1035]) ).
fof(f2498,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f223]) ).
fof(f2499,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f2498]) ).
fof(f2501,plain,
( e23 != op2(e23,h4(e11))
| ~ spl0_38
| ~ spl0_222
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f1455,f2455]) ).
fof(f2502,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| ~ spl0_222
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1455,f1433]) ).
fof(f2503,plain,
( h4(e10) != op2(e23,h4(e13))
| ~ spl0_222
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1941,f2370]) ).
fof(f2504,plain,
( h3(e10) != e20
| ~ spl0_200
| ~ spl0_262
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1958,f2457]) ).
fof(f2505,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| ~ spl0_262
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1631,f1324]) ).
fof(f2506,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| ~ spl0_200
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f1386,f1327]) ).
fof(f2509,plain,
( ~ spl0_119
| ~ spl0_223 ),
inference(split_clause,[status(thm)],[f2471,f1076,f1458]) ).
fof(f2510,plain,
( e23 = e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f271,f1029]) ).
fof(f2511,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f2510,f220]) ).
fof(f2512,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2513,plain,
( e22 = e20
| ~ spl0_260 ),
inference(forward_demodulation,[status(thm)],[f1958,f2364]) ).
fof(f2514,plain,
( $false
| ~ spl0_260 ),
inference(forward_subsumption_resolution,[status(thm)],[f2513,f219]) ).
fof(f2515,plain,
~ spl0_260,
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( ~ spl0_102
| ~ spl0_118 ),
inference(split_clause,[status(thm)],[f2025,f1021,f1073]) ).
fof(f2518,plain,
( $false
| ~ spl0_120
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1068,f2478]) ).
fof(f2519,plain,
( ~ spl0_120
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f2518]) ).
fof(f2520,plain,
( h1(e13) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f275,f899]) ).
fof(f2521,plain,
( $false
| spl0_231
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2520,f1508]) ).
fof(f2522,plain,
( spl0_231
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2521]) ).
fof(f2524,plain,
( e23 != e23
| spl0_107 ),
inference(forward_demodulation,[status(thm)],[f271,f1039]) ).
fof(f2525,plain,
( $false
| spl0_107 ),
inference(trivial_equality_resolution,[status(esa)],[f2524]) ).
fof(f2526,plain,
spl0_107,
inference(contradiction_clause,[status(thm)],[f2525]) ).
fof(f2527,plain,
( ~ spl0_275
| spl0_126 ),
inference(split_clause,[status(thm)],[f2050,f1682,f1099]) ).
fof(f2531,plain,
( h1(e13) != e20
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f951,f1972]) ).
fof(f2532,plain,
( ~ spl0_231
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f2531,f1506,f950]) ).
fof(f2534,plain,
( e21 != op2(e21,e23)
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f980,f199]) ).
fof(f2535,plain,
( ~ spl0_93
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2534,f992,f979]) ).
fof(f2536,plain,
( h2(e13) != e21
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f980,f1978]) ).
fof(f2537,plain,
( ~ spl0_247
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2536,f1570,f979]) ).
fof(f2538,plain,
( op2(e20,e23) != e21
| ~ spl0_93 ),
inference(backward_demodulation,[status(thm)],[f993,f182]) ).
fof(f2539,plain,
( h2(e13) != e21
| ~ spl0_93 ),
inference(backward_demodulation,[status(thm)],[f993,f1977]) ).
fof(f2540,plain,
( ~ spl0_247
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f2539,f1570,f992]) ).
fof(f2541,plain,
( ~ spl0_235
| spl0_65 ),
inference(split_clause,[status(thm)],[f2301,f1522,f901]) ).
fof(f2544,plain,
( $false
| spl0_154
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2067,f1241]) ).
fof(f2545,plain,
( spl0_154
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2544]) ).
fof(f2546,plain,
( e20 != op2(e20,e23)
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f925,f193]) ).
fof(f2547,plain,
( h1(e13) != e20
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f925,f1969]) ).
fof(f2548,plain,
( ~ spl0_231
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2547,f1506,f924]) ).
fof(f2550,plain,
( ~ spl0_90
| ~ spl0_122 ),
inference(split_clause,[status(thm)],[f2022,f982,f1086]) ).
fof(f2552,plain,
( op2(e20,e21) != e20
| ~ spl0_76 ),
inference(backward_demodulation,[status(thm)],[f938,f192]) ).
fof(f2553,plain,
( h1(e13) != e20
| ~ spl0_76 ),
inference(backward_demodulation,[status(thm)],[f938,f1968]) ).
fof(f2554,plain,
( ~ spl0_231
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f2553,f1506,f937]) ).
fof(f2555,plain,
( e21 != op2(e21,e22)
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f954,f195]) ).
fof(f2556,plain,
( e22 != op2(e21,e22)
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f931,f176]) ).
fof(f2558,plain,
( e21 = e22
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f954,f957]) ).
fof(f2559,plain,
( $false
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2558,f221]) ).
fof(f2560,plain,
( ~ spl0_81
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2559]) ).
fof(f2562,plain,
( e21 = e23
| ~ spl0_81
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f954,f960]) ).
fof(f2563,plain,
( $false
| ~ spl0_81
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f2562,f222]) ).
fof(f2564,plain,
( ~ spl0_81
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f2563]) ).
fof(f2569,plain,
( ~ spl0_91
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f2106,f985,f933]) ).
fof(f2570,plain,
( ~ spl0_75
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f2011,f933,f946]) ).
fof(f2571,plain,
( e11 != op1(e11,e13)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f740,f151]) ).
fof(f2572,plain,
( e12 != op1(e11,e13)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f717,f148]) ).
fof(f2575,plain,
e10 != op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f1941,f139]) ).
fof(f2576,plain,
op1(e11,e13) != e10,
inference(forward_demodulation,[status(thm)],[f1941,f137]) ).
fof(f2577,plain,
op1(e10,e13) != e10,
inference(forward_demodulation,[status(thm)],[f1941,f135]) ).
fof(f2581,plain,
( e12 != op1(e13,e11)
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f782,f127]) ).
fof(f2583,plain,
( op1(e11,e11) != e13
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f837,f126]) ).
fof(f2584,plain,
( op1(e10,e11) != e13
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f837,f124]) ).
fof(f2587,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f2577]) ).
fof(f2588,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f2587]) ).
fof(f2589,plain,
( ~ spl0_54
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2581,f833,f781]) ).
fof(f2590,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| ~ spl0_200
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1386,f1357]) ).
fof(f2591,plain,
( e13 != e13
| spl0_43 ),
inference(forward_demodulation,[status(thm)],[f268,f799]) ).
fof(f2592,plain,
( $false
| spl0_43 ),
inference(trivial_equality_resolution,[status(esa)],[f2591]) ).
fof(f2593,plain,
spl0_43,
inference(contradiction_clause,[status(thm)],[f2592]) ).
fof(f2594,plain,
( e10 != e10
| spl0_44 ),
inference(forward_demodulation,[status(thm)],[f1941,f803]) ).
fof(f2595,plain,
( $false
| spl0_44 ),
inference(trivial_equality_resolution,[status(esa)],[f2594]) ).
fof(f2596,plain,
spl0_44,
inference(contradiction_clause,[status(thm)],[f2595]) ).
fof(f2597,plain,
( e10 = e12
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f1941,f808]) ).
fof(f2598,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2597,f213]) ).
fof(f2599,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2598]) ).
fof(f2602,plain,
( ~ spl0_23
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2133,f732,f758]) ).
fof(f2603,plain,
( e11 = e10
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f740,f737]) ).
fof(f2604,plain,
( $false
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f2603,f212]) ).
fof(f2605,plain,
( ~ spl0_25
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f2604]) ).
fof(f2607,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f854,f2575]) ).
fof(f2608,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f2607]) ).
fof(f2609,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f818,f1935]) ).
fof(f2610,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f2609]) ).
fof(f2619,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f750,f2576]) ).
fof(f2620,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f2621,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f1567,f1263]) ).
fof(f2622,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| ~ spl0_262
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f1631,f1336]) ).
fof(f2623,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| ~ spl0_222
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1455,f1409]) ).
fof(f2631,plain,
( h1(e10) != op2(h1(e12),h1(e13))
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1941,f1205]) ).
fof(f2632,plain,
( h1(e10) != op2(e20,h1(e13))
| ~ spl0_230
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1503,f2631]) ).
fof(f2633,plain,
( h1(e10) != h1(e10)
| ~ spl0_230
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f1967,f2632]) ).
fof(f2634,plain,
( $false
| ~ spl0_230
| spl0_143 ),
inference(trivial_equality_resolution,[status(esa)],[f2633]) ).
fof(f2635,plain,
( ~ spl0_230
| spl0_143 ),
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f2636,plain,
( h1(e13) != op2(e20,h1(e12))
| ~ spl0_230
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f1503,f1942]) ).
fof(f2637,plain,
( h1(e13) != op2(e20,e20)
| ~ spl0_230
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f1503,f2636]) ).
fof(f2638,plain,
( h1(e13) != h1(e13)
| ~ spl0_230
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f275,f2637]) ).
fof(f2639,plain,
( $false
| ~ spl0_230
| spl0_142 ),
inference(trivial_equality_resolution,[status(esa)],[f2638]) ).
fof(f2640,plain,
( ~ spl0_230
| spl0_142 ),
inference(contradiction_clause,[status(thm)],[f2639]) ).
fof(f2641,plain,
( h1(op1(e12,e11)) != op2(e20,h1(e11))
| ~ spl0_230
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f1503,f1199]) ).
fof(f2642,plain,
( h1(e11) != op2(e20,h1(e10))
| ~ spl0_230
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f1503,f1931]) ).
fof(f2643,plain,
( h1(e11) != h1(e11)
| ~ spl0_230
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f1966,f2642]) ).
fof(f2644,plain,
( $false
| ~ spl0_230
| spl0_140 ),
inference(trivial_equality_resolution,[status(esa)],[f2643]) ).
fof(f2645,plain,
( ~ spl0_230
| spl0_140 ),
inference(contradiction_clause,[status(thm)],[f2644]) ).
fof(f2662,plain,
( e13 = e10
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f268,f789]) ).
fof(f2663,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f2662,f214]) ).
fof(f2664,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f2663]) ).
fof(f2672,plain,
( e11 != op1(e11,e11)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f714,f146]) ).
fof(f2676,plain,
( op1(e10,e11) != e11
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f701,f144]) ).
fof(f2677,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2676,f674,f700]) ).
fof(f2678,plain,
( op1(e10,e12) != e11
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f701,f145]) ).
fof(f2679,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2678,f687,f700]) ).
fof(f2680,plain,
( e11 != op1(e11,e13)
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f701,f134]) ).
fof(f2681,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2142,f680,f706]) ).
fof(f2682,plain,
( ~ spl0_63
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2144,f862,f706]) ).
fof(f2683,plain,
( e23 != op2(h3(e10),h3(e13))
| ~ spl0_200
| ~ spl0_15
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f1386,f2146]) ).
fof(f2684,plain,
( e23 != op2(h3(e10),e23)
| ~ spl0_200
| ~ spl0_15
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f1386,f2683]) ).
fof(f2685,plain,
( e10 = e11
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f1941,f805]) ).
fof(f2686,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f2685,f212]) ).
fof(f2687,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f2686]) ).
fof(f2692,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f1567,f1251]) ).
fof(f2701,plain,
( h2(e10) != h2(e10)
| ~ spl0_246
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f1976,f2456]) ).
fof(f2702,plain,
( $false
| ~ spl0_246
| spl0_166 ),
inference(trivial_equality_resolution,[status(esa)],[f2701]) ).
fof(f2703,plain,
( ~ spl0_246
| spl0_166 ),
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2707,plain,
( h3(op1(e13,e10)) != op2(e23,e20)
| ~ spl0_252
| ~ spl0_200
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f1591,f2395]) ).
fof(f2708,plain,
( h3(op1(e10,e13)) != op2(e20,e23)
| ~ spl0_252
| ~ spl0_200
| spl0_181 ),
inference(backward_demodulation,[status(thm)],[f1591,f2506]) ).
fof(f2709,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(backward_demodulation,[status(thm)],[f1591,f2505]) ).
fof(f2711,plain,
( h3(op1(e10,e11)) != op2(e20,h3(e11))
| ~ spl0_252
| spl0_179 ),
inference(backward_demodulation,[status(thm)],[f1591,f1321]) ).
fof(f2712,plain,
( h3(op1(e10,e10)) != op2(h3(e10),e20)
| ~ spl0_252
| spl0_178 ),
inference(backward_demodulation,[status(thm)],[f1591,f1318]) ).
fof(f2713,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f1591,f2712]) ).
fof(f2714,plain,
( h3(op1(e10,e10)) != h1(e13)
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f275,f2713]) ).
fof(f2715,plain,
( e20 = e23
| ~ spl0_252
| ~ spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1591,f1374]) ).
fof(f2716,plain,
( $false
| ~ spl0_252
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[status(thm)],[f2715,f220]) ).
fof(f2717,plain,
( ~ spl0_252
| ~ spl0_197 ),
inference(contradiction_clause,[status(thm)],[f2716]) ).
fof(f2722,plain,
( e20 != op2(e23,e20)
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f1507,f1971]) ).
fof(f2723,plain,
( e20 != op2(e20,e21)
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f1507,f1970]) ).
fof(f2724,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f1507,f1967]) ).
fof(f2725,plain,
( e20 = op2(e20,e20)
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f1507,f275]) ).
fof(f2728,plain,
( op2(e20,e21) != e20
| ~ spl0_243 ),
inference(backward_demodulation,[status(thm)],[f1555,f1982]) ).
fof(f2740,plain,
( e20 = e23
| ~ spl0_243
| ~ spl0_177 ),
inference(forward_demodulation,[status(thm)],[f1555,f1313]) ).
fof(f2741,plain,
( $false
| ~ spl0_243
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[status(thm)],[f2740,f220]) ).
fof(f2742,plain,
( ~ spl0_243
| ~ spl0_177 ),
inference(contradiction_clause,[status(thm)],[f2741]) ).
fof(f2746,plain,
( e20 = e21
| ~ spl0_252
| ~ spl0_256 ),
inference(forward_demodulation,[status(thm)],[f1591,f1607]) ).
fof(f2747,plain,
( $false
| ~ spl0_252
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[status(thm)],[f2746,f218]) ).
fof(f2748,plain,
( ~ spl0_252
| ~ spl0_256 ),
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2750,plain,
( ~ spl0_89
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f2555,f979,f953]) ).
fof(f2751,plain,
( e20 = e23
| ~ spl0_231
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f1507,f2067]) ).
fof(f2752,plain,
( $false
| ~ spl0_231
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2751,f220]) ).
fof(f2753,plain,
( ~ spl0_231
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2752]) ).
fof(f2754,plain,
( ~ spl0_83
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f2009,f959,f998]) ).
fof(f2756,plain,
( e20 = e22
| ~ spl0_231
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f1507,f1539]) ).
fof(f2757,plain,
( $false
| ~ spl0_231
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[status(thm)],[f2756,f219]) ).
fof(f2758,plain,
( ~ spl0_231
| ~ spl0_239 ),
inference(contradiction_clause,[status(thm)],[f2757]) ).
fof(f2761,plain,
( e20 != e20
| ~ spl0_252
| ~ spl0_200
| ~ spl0_262
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1591,f2504]) ).
fof(f2762,plain,
( $false
| ~ spl0_252
| ~ spl0_200
| ~ spl0_262
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f2761]) ).
fof(f2763,plain,
( ~ spl0_252
| ~ spl0_200
| ~ spl0_262
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f2762]) ).
fof(f2768,plain,
( h3(e11) != op2(e22,e20)
| ~ spl0_252
| ~ spl0_262
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1591,f2411]) ).
fof(f2774,plain,
( e20 = h1(e10)
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2724,f2725]) ).
fof(f2775,plain,
( $false
| spl0_228
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[status(thm)],[f2774,f1496]) ).
fof(f2776,plain,
( spl0_228
| ~ spl0_231 ),
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2779,plain,
( $false
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f2672]) ).
fof(f2780,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f2779]) ).
fof(f2781,plain,
( e23 != op2(e20,e23)
| ~ spl0_252
| ~ spl0_200
| ~ spl0_15
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f1591,f2684]) ).
fof(f2783,plain,
( e11 = e12
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f714,f717]) ).
fof(f2784,plain,
( $false
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2783,f215]) ).
fof(f2785,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2784]) ).
fof(f2786,plain,
( e21 != op2(h2(e11),h2(e10))
| ~ spl0_246
| ~ spl0_18
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f1567,f2310]) ).
fof(f2787,plain,
( e22 != op2(h3(e11),e20)
| ~ spl0_252
| ~ spl0_262
| ~ spl0_18
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1591,f2419]) ).
fof(f2788,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2572,f755,f716]) ).
fof(f2789,plain,
( ~ spl0_23
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2276,f732,f719]) ).
fof(f2791,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl0_252
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1591,f1330]) ).
fof(f2797,plain,
( op2(e21,e23) != e20
| ~ spl0_252 ),
inference(forward_demodulation,[status(thm)],[f1591,f1988]) ).
fof(f2798,plain,
( e20 != op2(e23,e23)
| ~ spl0_252 ),
inference(forward_demodulation,[status(thm)],[f1591,f1987]) ).
fof(f2799,plain,
( e20 != h4(e13)
| ~ spl0_252 ),
inference(forward_demodulation,[status(thm)],[f287,f2798]) ).
fof(f2800,plain,
( h3(e11) = op2(e22,e20)
| ~ spl0_252 ),
inference(forward_demodulation,[status(thm)],[f1591,f1991]) ).
fof(f2801,plain,
( h3(e11) = e21
| ~ spl0_252 ),
inference(forward_demodulation,[status(thm)],[f1951,f2800]) ).
fof(f2802,plain,
( $false
| spl0_257
| ~ spl0_252 ),
inference(forward_subsumption_resolution,[status(thm)],[f2801,f1612]) ).
fof(f2803,plain,
( spl0_257
| ~ spl0_252 ),
inference(contradiction_clause,[status(thm)],[f2802]) ).
fof(f2804,plain,
( h3(e11) != e21
| ~ spl0_252
| ~ spl0_262
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1951,f2768]) ).
fof(f2805,plain,
( ~ spl0_257
| ~ spl0_252
| ~ spl0_262
| spl0_186 ),
inference(split_clause,[status(thm)],[f2804,f1610,f1590,f1630,f1340]) ).
fof(f2811,plain,
( op2(e20,e21) != e22
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f1022,f171]) ).
fof(f2812,plain,
( ~ spl0_70
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f2811,f917,f1021]) ).
fof(f2813,plain,
( $false
| ~ spl0_252
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2044,f2799]) ).
fof(f2814,plain,
( ~ spl0_252
| ~ spl0_124 ),
inference(contradiction_clause,[status(thm)],[f2813]) ).
fof(f2819,plain,
( h2(e13) != e22
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1022,f1981]) ).
fof(f2820,plain,
( e20 != op2(e23,e22)
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f977,f180]) ).
fof(f2823,plain,
( op2(e23,e20) != e23
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f1077,f206]) ).
fof(f2824,plain,
( ~ spl0_115
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2823,f1063,f1076]) ).
fof(f2825,plain,
( op2(e20,e21) != e23
| ~ spl0_119 ),
inference(backward_demodulation,[status(thm)],[f1077,f172]) ).
fof(f2826,plain,
( ~ spl0_71
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2825,f920,f1076]) ).
fof(f2827,plain,
( e20 = e21
| ~ spl0_231
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f1507,f1523]) ).
fof(f2828,plain,
( $false
| ~ spl0_231
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[status(thm)],[f2827,f218]) ).
fof(f2829,plain,
( ~ spl0_231
| ~ spl0_235 ),
inference(contradiction_clause,[status(thm)],[f2828]) ).
fof(f2833,plain,
( e20 = e21
| ~ spl0_88
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f977,f980]) ).
fof(f2834,plain,
( $false
| ~ spl0_88
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f2833,f218]) ).
fof(f2835,plain,
( ~ spl0_88
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f2834]) ).
fof(f2836,plain,
( $false
| ~ spl0_102
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[status(thm)],[f1587,f2819]) ).
fof(f2837,plain,
( ~ spl0_102
| ~ spl0_251 ),
inference(contradiction_clause,[status(thm)],[f2836]) ).
fof(f2840,plain,
( e21 != op2(e20,e23)
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f915,f192]) ).
fof(f2841,plain,
( e21 != op2(e20,e22)
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f915,f191]) ).
fof(f2853,plain,
( op1(e11,e11) != e12
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f782,f125]) ).
fof(f2854,plain,
( ~ spl0_22
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2853,f729,f781]) ).
fof(f2856,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f850,f1945]) ).
fof(f2857,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f2856]) ).
fof(f2858,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2151,f758,f706]) ).
fof(f2859,plain,
( e12 = e13
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f782,f785]) ).
fof(f2860,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f2859,f217]) ).
fof(f2861,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2863,plain,
( h2(e10) != op2(h2(e10),h2(e10))
| ~ spl0_0
| spl0_155 ),
inference(backward_demodulation,[status(thm)],[f659,f1245]) ).
fof(f2865,plain,
( e10 != op1(e10,e12)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f659,f141]) ).
fof(f2866,plain,
( ~ spl0_8
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2865,f684,f658]) ).
fof(f2868,plain,
( h4(e10) != op2(h4(e10),h4(e10))
| ~ spl0_0
| spl0_201 ),
inference(backward_demodulation,[status(thm)],[f659,f1391]) ).
fof(f2870,plain,
( e10 = e12
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f659,f665]) ).
fof(f2871,plain,
( $false
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2870,f213]) ).
fof(f2872,plain,
( ~ spl0_0
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2871]) ).
fof(f2873,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f2134,f719,f758]) ).
fof(f2874,plain,
( e10 = e11
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f659,f662]) ).
fof(f2875,plain,
( $false
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2874,f212]) ).
fof(f2876,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2875]) ).
fof(f2884,plain,
( h1(e12) != op2(e20,h1(e11))
| ~ spl0_38
| ~ spl0_230
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f782,f2641]) ).
fof(f2885,plain,
( e20 != op2(e20,h1(e11))
| ~ spl0_38
| ~ spl0_230
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f1503,f2884]) ).
fof(f2892,plain,
( $false
| ~ spl0_252
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f2797]) ).
fof(f2893,plain,
( ~ spl0_252
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2895,plain,
( e10 = e13
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f659,f668]) ).
fof(f2896,plain,
( $false
| ~ spl0_0
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2895,f214]) ).
fof(f2897,plain,
( ~ spl0_0
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2896]) ).
fof(f2904,plain,
( $false
| ~ spl0_69
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f928,f2841]) ).
fof(f2905,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f2904]) ).
fof(f2906,plain,
( e22 = e21
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f1022,f1019]) ).
fof(f2907,plain,
( $false
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2906,f221]) ).
fof(f2908,plain,
( ~ spl0_102
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2907]) ).
fof(f2909,plain,
( e23 = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f271,f1032]) ).
fof(f2910,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f2909,f222]) ).
fof(f2911,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f2910]) ).
fof(f2914,plain,
( e20 = op2(e20,e20)
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f2774,f2724]) ).
fof(f2916,plain,
( h1(e11) = op2(e20,e20)
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f2774,f1966]) ).
fof(f2920,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| ~ spl0_252
| spl0_182 ),
inference(backward_demodulation,[status(thm)],[f2801,f2791]) ).
fof(f2921,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| ~ spl0_252
| spl0_179 ),
inference(backward_demodulation,[status(thm)],[f2801,f2711]) ).
fof(f2922,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f2801,f2622]) ).
fof(f2923,plain,
( h3(op1(e11,e12)) != e20
| ~ spl0_88
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f977,f2922]) ).
fof(f2924,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| ~ spl0_252
| ~ spl0_200
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f2801,f2590]) ).
fof(f2926,plain,
( h3(op1(e11,e11)) != op2(h3(e11),e21)
| ~ spl0_252
| spl0_183 ),
inference(backward_demodulation,[status(thm)],[f2801,f1333]) ).
fof(f2927,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f2801,f2926]) ).
fof(f2928,plain,
( h3(op1(e11,e11)) != h2(e13)
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f279,f2927]) ).
fof(f2929,plain,
( h3(op1(e11,e13)) != op2(e21,e23)
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f2801,f2414]) ).
fof(f2932,plain,
( op2(e20,e22) != e22
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f944,f193]) ).
fof(f2933,plain,
( e22 != op2(e21,e23)
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f944,f182]) ).
fof(f2935,plain,
( e22 != h4(e13)
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f944,f2003]) ).
fof(f2937,plain,
( h2(e13) != e23
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f999,f1977]) ).
fof(f2938,plain,
( ~ spl0_177
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f2937,f1312,f998]) ).
fof(f2946,plain,
( h3(op1(e13,e10)) != e23
| ~ spl0_115
| ~ spl0_252
| ~ spl0_200
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f1064,f2707]) ).
fof(f2953,plain,
( e22 = e21
| ~ spl0_78
| ~ spl0_77 ),
inference(forward_demodulation,[status(thm)],[f944,f941]) ).
fof(f2954,plain,
( $false
| ~ spl0_78
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f2953,f221]) ).
fof(f2955,plain,
( ~ spl0_78
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f2954]) ).
fof(f2958,plain,
( ~ spl0_71
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f2012,f920,f946]) ).
fof(f2959,plain,
( ~ spl0_77
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f2538,f940,f992]) ).
fof(f2960,plain,
( ~ spl0_115
| ~ spl0_223 ),
inference(split_clause,[status(thm)],[f2472,f1063,f1458]) ).
fof(f2963,plain,
( $false
| ~ spl0_88
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f2820]) ).
fof(f2964,plain,
( ~ spl0_88
| ~ spl0_120 ),
inference(contradiction_clause,[status(thm)],[f2963]) ).
fof(f2965,plain,
( e23 = e20
| ~ spl0_71
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f921,f912]) ).
fof(f2966,plain,
( $false
| ~ spl0_71
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f2965,f220]) ).
fof(f2967,plain,
( ~ spl0_71
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2966]) ).
fof(f2968,plain,
( ~ spl0_74
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2932,f930,f943]) ).
fof(f2969,plain,
( ~ spl0_94
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2933,f995,f943]) ).
fof(f2970,plain,
( ~ spl0_275
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2935,f1682,f943]) ).
fof(f2972,plain,
( e23 = e21
| ~ spl0_71
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f921,f915]) ).
fof(f2973,plain,
( $false
| ~ spl0_71
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f2972,f222]) ).
fof(f2974,plain,
( ~ spl0_71
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f2973]) ).
fof(f2975,plain,
( e21 != h2(e13)
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f915,f1982]) ).
fof(f2976,plain,
( e20 = e22
| ~ spl0_88
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f977,f983]) ).
fof(f2977,plain,
( $false
| ~ spl0_88
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f2976,f219]) ).
fof(f2978,plain,
( ~ spl0_88
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f2977]) ).
fof(f2979,plain,
( $false
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f1090,f1961]) ).
fof(f2980,plain,
~ spl0_123,
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2982,plain,
( op1(e13,e11) != e11
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f844,f161]) ).
fof(f2983,plain,
( ~ spl0_53
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2982,f830,f843]) ).
fof(f2985,plain,
( h2(e11) != op2(h2(e13),e21)
| ~ spl0_57
| ~ spl0_246
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f844,f2430]) ).
fof(f2989,plain,
( e11 != op1(e13,e13)
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f844,f163]) ).
fof(f2990,plain,
( ~ spl0_50
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f2157,f820,f846]) ).
fof(f2991,plain,
( ~ spl0_79
| ~ spl0_252
| ~ spl0_200
| ~ spl0_15
| spl0_181 ),
inference(split_clause,[status(thm)],[f2781,f946,f1590,f1385,f706,f1325]) ).
fof(f2996,plain,
( ~ spl0_29
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2571,f752,f739]) ).
fof(f2997,plain,
( ~ spl0_68
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f2552,f911,f937]) ).
fof(f2998,plain,
( ~ spl0_68
| ~ spl0_243 ),
inference(split_clause,[status(thm)],[f2728,f911,f1554]) ).
fof(f3004,plain,
( ~ spl0_76
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2546,f937,f924]) ).
fof(f3005,plain,
( ~ spl0_95
| ~ spl0_223 ),
inference(split_clause,[status(thm)],[f2473,f998,f1458]) ).
fof(f3006,plain,
( h2(e13) != e20
| ~ spl0_116 ),
inference(backward_demodulation,[status(thm)],[f1068,f1980]) ).
fof(f3007,plain,
( ~ spl0_243
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f3006,f1554,f1067]) ).
fof(f3008,plain,
( ~ spl0_90
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f2556,f982,f930]) ).
fof(f3016,plain,
( e13 = e11
| ~ spl0_19
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f720,f714]) ).
fof(f3017,plain,
( $false
| ~ spl0_19
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f3016,f216]) ).
fof(f3018,plain,
( ~ spl0_19
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f3017]) ).
fof(f3020,plain,
( ~ spl0_112
| ~ spl0_231 ),
inference(split_clause,[status(thm)],[f2722,f1054,f1506]) ).
fof(f3021,plain,
( ~ spl0_68
| ~ spl0_231 ),
inference(split_clause,[status(thm)],[f2723,f911,f1506]) ).
fof(f3022,plain,
( e13 = e10
| ~ spl0_19
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f720,f711]) ).
fof(f3023,plain,
( $false
| ~ spl0_19
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f3022,f214]) ).
fof(f3024,plain,
( ~ spl0_19
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f3023]) ).
fof(f3026,plain,
( ~ spl0_61
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2989,f856,f843]) ).
fof(f3029,plain,
( e22 != op2(e21,e20)
| ~ spl0_252
| ~ spl0_262
| ~ spl0_18
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f2801,f2787]) ).
fof(f3030,plain,
( e13 = e12
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f720,f717]) ).
fof(f3031,plain,
( $false
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f3030,f217]) ).
fof(f3032,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f3031]) ).
fof(f3037,plain,
( ~ spl0_62
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2174,f859,f820]) ).
fof(f3039,plain,
( ~ spl0_62
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f2155,f859,f846]) ).
fof(f3044,plain,
( e12 = e11
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f782,f779]) ).
fof(f3045,plain,
( $false
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f3044,f215]) ).
fof(f3046,plain,
( ~ spl0_38
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f3045]) ).
fof(f3047,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f746,f1946]) ).
fof(f3048,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f3047]) ).
fof(f3058,plain,
( e22 != op2(e22,e21)
| ~ spl0_252
| ~ spl0_38
| ~ spl0_262
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f2801,f2454]) ).
fof(f3059,plain,
( e22 != e22
| ~ spl0_102
| ~ spl0_252
| ~ spl0_38
| ~ spl0_262
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1022,f3058]) ).
fof(f3060,plain,
( $false
| ~ spl0_102
| ~ spl0_252
| ~ spl0_38
| ~ spl0_262
| spl0_187 ),
inference(trivial_equality_resolution,[status(esa)],[f3059]) ).
fof(f3061,plain,
( ~ spl0_102
| ~ spl0_252
| ~ spl0_38
| ~ spl0_262
| spl0_187 ),
inference(contradiction_clause,[status(thm)],[f3060]) ).
fof(f3066,plain,
( h4(op1(e13,e12)) != op2(e22,e23)
| ~ spl0_275
| ~ spl0_222
| spl0_215 ),
inference(backward_demodulation,[status(thm)],[f1683,f2502]) ).
fof(f3067,plain,
( h4(op1(e13,e12)) != e20
| ~ spl0_275
| ~ spl0_222
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1958,f3066]) ).
fof(f3068,plain,
( h4(op1(e13,e10)) != op2(e22,h4(e10))
| ~ spl0_275
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f1683,f1427]) ).
fof(f3069,plain,
( op2(e23,e22) != e22
| ~ spl0_275 ),
inference(backward_demodulation,[status(thm)],[f1683,f1999]) ).
fof(f3071,plain,
( e22 = op2(e23,e23)
| ~ spl0_275 ),
inference(backward_demodulation,[status(thm)],[f1683,f287]) ).
fof(f3072,plain,
( h4(e10) = op2(e23,e22)
| ~ spl0_275 ),
inference(backward_demodulation,[status(thm)],[f1683,f1998]) ).
fof(f3073,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e22)
| ~ spl0_275
| spl0_204 ),
inference(backward_demodulation,[status(thm)],[f1683,f1400]) ).
fof(f3075,plain,
( h4(op1(e13,e13)) != op2(h4(e13),e22)
| ~ spl0_275
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f1683,f1436]) ).
fof(f3076,plain,
( h4(op1(e13,e13)) != op2(e22,e22)
| ~ spl0_275
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f1683,f3075]) ).
fof(f3077,plain,
( h4(op1(e13,e13)) != e23
| ~ spl0_275
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f271,f3076]) ).
fof(f3078,plain,
( h4(op1(e13,e11)) != op2(e22,h4(e11))
| ~ spl0_275
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f1683,f1430]) ).
fof(f3094,plain,
( h1(op1(e13,e13)) != op2(h1(e13),e20)
| ~ spl0_231
| spl0_147 ),
inference(backward_demodulation,[status(thm)],[f1507,f1217]) ).
fof(f3095,plain,
( h1(op1(e13,e13)) != op2(e20,e20)
| ~ spl0_231
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1507,f3094]) ).
fof(f3096,plain,
( h3(e10) != h1(e13)
| ~ spl0_0
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f659,f2714]) ).
fof(f3097,plain,
( e20 != h1(e13)
| ~ spl0_0
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f1591,f3096]) ).
fof(f3098,plain,
( e20 != e20
| ~ spl0_231
| ~ spl0_0
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f1507,f3097]) ).
fof(f3099,plain,
( $false
| ~ spl0_231
| ~ spl0_0
| ~ spl0_252
| spl0_178 ),
inference(trivial_equality_resolution,[status(esa)],[f3098]) ).
fof(f3100,plain,
( ~ spl0_231
| ~ spl0_0
| ~ spl0_252
| spl0_178 ),
inference(contradiction_clause,[status(thm)],[f3099]) ).
fof(f3105,plain,
( h4(e10) != op2(e23,e22)
| ~ spl0_275
| ~ spl0_222
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1683,f2503]) ).
fof(f3106,plain,
( h1(e11) = e20
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2914,f2916]) ).
fof(f3107,plain,
( $false
| spl0_229
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[status(thm)],[f3106,f1500]) ).
fof(f3108,plain,
( spl0_229
| ~ spl0_231 ),
inference(contradiction_clause,[status(thm)],[f3107]) ).
fof(f3111,plain,
( $false
| ~ spl0_222
| spl0_212
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[status(thm)],[f3072,f3105]) ).
fof(f3112,plain,
( ~ spl0_222
| spl0_212
| ~ spl0_275 ),
inference(contradiction_clause,[status(thm)],[f3111]) ).
fof(f3119,plain,
( h1(op1(e13,e13)) != e20
| ~ spl0_231
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f2914,f3095]) ).
fof(f3143,plain,
( h4(e10) = e21
| ~ spl0_275
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f3072,f1084]) ).
fof(f3144,plain,
( $false
| spl0_268
| ~ spl0_275
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f3143,f1656]) ).
fof(f3145,plain,
( spl0_268
| ~ spl0_275
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f3144]) ).
fof(f3146,plain,
( e22 = e21
| ~ spl0_275
| ~ spl0_271 ),
inference(forward_demodulation,[status(thm)],[f1683,f1667]) ).
fof(f3147,plain,
( $false
| ~ spl0_275
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[status(thm)],[f3146,f221]) ).
fof(f3148,plain,
( ~ spl0_275
| ~ spl0_271 ),
inference(contradiction_clause,[status(thm)],[f3147]) ).
fof(f3163,plain,
( e10 != op1(e13,e12)
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f828,f161]) ).
fof(f3164,plain,
( ~ spl0_56
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f3163,f840,f827]) ).
fof(f3166,plain,
( h4(e10) != op2(e22,h4(e11))
| ~ spl0_52
| ~ spl0_275
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f828,f3078]) ).
fof(f3172,plain,
( op1(e13,e10) != e10
| ~ spl0_52 ),
inference(backward_demodulation,[status(thm)],[f828,f158]) ).
fof(f3178,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2583,f732,f836]) ).
fof(f3179,plain,
( ~ spl0_7
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2584,f680,f836]) ).
fof(f3180,plain,
( ~ spl0_82
| ~ spl0_252
| ~ spl0_262
| ~ spl0_18
| spl0_182 ),
inference(split_clause,[status(thm)],[f3029,f956,f1590,f1630,f716,f1328]) ).
fof(f3181,plain,
( e12 = e10
| ~ spl0_38
| ~ spl0_36 ),
inference(forward_demodulation,[status(thm)],[f782,f776]) ).
fof(f3182,plain,
( $false
| ~ spl0_38
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f3181,f213]) ).
fof(f3183,plain,
( ~ spl0_38
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f3182]) ).
fof(f3184,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f1947]) ).
fof(f3185,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f3184]) ).
fof(f3189,plain,
( e13 != op1(e13,e13)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f824,f160]) ).
fof(f3194,plain,
( op1(e11,e10) != e11
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f753,f148]) ).
fof(f3195,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f3194,f713,f752]) ).
fof(f3201,plain,
( op1(e11,e11) != e11
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f753,f150]) ).
fof(f3203,plain,
( h3(op1(e11,e10)) = op2(e21,h3(e10))
| ~ spl0_252
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f2801,f1329]) ).
fof(f3204,plain,
( h3(op1(e11,e10)) = op2(e21,e20)
| ~ spl0_252
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1591,f3203]) ).
fof(f3211,plain,
( e10 != op1(e13,e11)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f672,f124]) ).
fof(f3212,plain,
( ~ spl0_52
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f3211,f827,f671]) ).
fof(f3218,plain,
( e10 != op1(e10,e12)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f672,f143]) ).
fof(f3224,plain,
( h3(op1(e11,e12)) != e22
| ~ spl0_90
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f983,f2922]) ).
fof(f3225,plain,
( op2(e20,e21) != e20
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f925,f191]) ).
fof(f3226,plain,
( ~ spl0_68
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f3225,f911,f924]) ).
fof(f3227,plain,
( h3(op1(e10,e12)) != e20
| ~ spl0_72
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(backward_demodulation,[status(thm)],[f925,f2709]) ).
fof(f3229,plain,
( h4(e13) != op2(e22,h4(e10))
| ~ spl0_51
| ~ spl0_275
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f824,f3068]) ).
fof(f3238,plain,
( e21 != op2(e23,e21)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1571,f1980]) ).
fof(f3245,plain,
( op2(e21,e20) != e21
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1571,f1979]) ).
fof(f3246,plain,
( h3(e11) != op2(e21,e23)
| ~ spl0_29
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f753,f2929]) ).
fof(f3247,plain,
( e21 != op2(e21,e23)
| ~ spl0_29
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2801,f3246]) ).
fof(f3251,plain,
( e21 = op2(e21,e21)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1571,f279]) ).
fof(f3253,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1571,f1976]) ).
fof(f3254,plain,
( h2(e10) = e21
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f3251,f3253]) ).
fof(f3255,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e21)
| ~ spl0_247
| spl0_159 ),
inference(backward_demodulation,[status(thm)],[f3254,f1257]) ).
fof(f3256,plain,
( h2(e10) != op2(h2(e10),e21)
| ~ spl0_247
| ~ spl0_0
| spl0_155 ),
inference(backward_demodulation,[status(thm)],[f3254,f2863]) ).
fof(f3257,plain,
( e21 != op2(h2(e10),e21)
| ~ spl0_247
| ~ spl0_0
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f3254,f3256]) ).
fof(f3258,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_0
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f3254,f3257]) ).
fof(f3259,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_0
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f3251,f3258]) ).
fof(f3260,plain,
( $false
| ~ spl0_247
| ~ spl0_0
| spl0_155 ),
inference(trivial_equality_resolution,[status(esa)],[f3259]) ).
fof(f3261,plain,
( ~ spl0_247
| ~ spl0_0
| spl0_155 ),
inference(contradiction_clause,[status(thm)],[f3260]) ).
fof(f3262,plain,
( h2(op1(e10,e12)) != op2(e21,e21)
| ~ spl0_247
| ~ spl0_246
| spl0_157 ),
inference(backward_demodulation,[status(thm)],[f3254,f2692]) ).
fof(f3263,plain,
( h2(op1(e10,e12)) != e21
| ~ spl0_247
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f3251,f3262]) ).
fof(f3265,plain,
( h2(e11) = op2(e21,e21)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f3254,f1975]) ).
fof(f3266,plain,
( h2(e11) = e21
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f3251,f3265]) ).
fof(f3267,plain,
( $false
| spl0_245
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f3266,f1564]) ).
fof(f3268,plain,
( spl0_245
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f3267]) ).
fof(f3275,plain,
( h2(op1(e13,e13)) != op2(e21,h2(e13))
| ~ spl0_247
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f1571,f1290]) ).
fof(f3276,plain,
( h2(op1(e13,e13)) != op2(e21,e21)
| ~ spl0_247
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f1571,f3275]) ).
fof(f3277,plain,
( h2(op1(e13,e13)) != e21
| ~ spl0_247
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3251,f3276]) ).
fof(f3278,plain,
( h2(e13) != op2(h2(e13),h2(e10))
| ~ spl0_51
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f824,f1281]) ).
fof(f3279,plain,
( e21 != op2(h2(e13),h2(e10))
| ~ spl0_247
| ~ spl0_51
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f1571,f3278]) ).
fof(f3280,plain,
( e21 != op2(e21,h2(e10))
| ~ spl0_247
| ~ spl0_51
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f1571,f3279]) ).
fof(f3281,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_51
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3254,f3280]) ).
fof(f3282,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_51
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3251,f3281]) ).
fof(f3283,plain,
( $false
| ~ spl0_247
| ~ spl0_51
| spl0_167 ),
inference(trivial_equality_resolution,[status(esa)],[f3282]) ).
fof(f3284,plain,
( ~ spl0_247
| ~ spl0_51
| spl0_167 ),
inference(contradiction_clause,[status(thm)],[f3283]) ).
fof(f3289,plain,
( h2(e11) != op2(h2(e11),h2(e13))
| ~ spl0_29
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f753,f1266]) ).
fof(f3290,plain,
( h2(e11) != op2(h2(e11),e21)
| ~ spl0_247
| ~ spl0_29
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1571,f3289]) ).
fof(f3294,plain,
( h2(op1(e13,e11)) != op2(e21,h2(e11))
| ~ spl0_247
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f1571,f1284]) ).
fof(f3295,plain,
( $false
| ~ spl0_247
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f954,f3245]) ).
fof(f3296,plain,
( ~ spl0_247
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f3295]) ).
fof(f3298,plain,
( e21 = e20
| ~ spl0_247
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f1571,f2047]) ).
fof(f3299,plain,
( $false
| ~ spl0_247
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f3298,f218]) ).
fof(f3300,plain,
( ~ spl0_247
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f3299]) ).
fof(f3301,plain,
( ~ spl0_77
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f2840,f940,f914]) ).
fof(f3302,plain,
( ~ spl0_247
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f2975,f1570,f914]) ).
fof(f3308,plain,
( e21 != op2(h2(e10),h2(e13))
| ~ spl0_247
| ~ spl0_15
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f1571,f2145]) ).
fof(f3309,plain,
( e21 != op2(e21,h2(e13))
| ~ spl0_247
| ~ spl0_15
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f3254,f3308]) ).
fof(f3310,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_15
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f1571,f3309]) ).
fof(f3311,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_15
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f3251,f3310]) ).
fof(f3312,plain,
( $false
| ~ spl0_247
| ~ spl0_15
| spl0_158 ),
inference(trivial_equality_resolution,[status(esa)],[f3311]) ).
fof(f3313,plain,
( ~ spl0_247
| ~ spl0_15
| spl0_158 ),
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3322,plain,
( h4(e11) != op2(h4(e11),h4(e13))
| ~ spl0_29
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f753,f1412]) ).
fof(f3325,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| ~ spl0_23
| spl0_160 ),
inference(backward_demodulation,[status(thm)],[f733,f1260]) ).
fof(f3326,plain,
( e21 != op2(h2(e11),h2(e11))
| ~ spl0_247
| ~ spl0_23
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1571,f3325]) ).
fof(f3328,plain,
( h4(e13) != op2(h4(e11),h4(e11))
| ~ spl0_23
| spl0_206 ),
inference(backward_demodulation,[status(thm)],[f733,f1406]) ).
fof(f3346,plain,
( h2(op1(e10,e11)) != op2(e21,h2(e11))
| ~ spl0_247
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f3254,f1248]) ).
fof(f3352,plain,
( h4(e11) != op2(h4(e11),e22)
| ~ spl0_275
| ~ spl0_29
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f1683,f3322]) ).
fof(f3364,plain,
( h4(e13) != op2(h4(e10),e22)
| ~ spl0_15
| ~ spl0_275
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f707,f3073]) ).
fof(f3365,plain,
( e22 != op2(h4(e10),e22)
| ~ spl0_15
| ~ spl0_275
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f1683,f3364]) ).
fof(f3370,plain,
( h2(op1(e11,e10)) != op2(e21,e21)
| ~ spl0_247
| spl0_159 ),
inference(backward_demodulation,[status(thm)],[f3266,f3255]) ).
fof(f3371,plain,
( h2(op1(e11,e10)) != e21
| ~ spl0_247
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f3251,f3370]) ).
fof(f3372,plain,
( h2(op1(e10,e11)) != op2(e21,e21)
| ~ spl0_247
| spl0_156 ),
inference(backward_demodulation,[status(thm)],[f3266,f3346]) ).
fof(f3373,plain,
( h2(op1(e10,e11)) != e21
| ~ spl0_247
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f3251,f3372]) ).
fof(f3374,plain,
( h2(op1(e13,e11)) != op2(e21,e21)
| ~ spl0_247
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f3266,f3294]) ).
fof(f3375,plain,
( h2(op1(e13,e11)) != e21
| ~ spl0_247
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f3251,f3374]) ).
fof(f3376,plain,
( h2(e11) != op2(e21,e21)
| ~ spl0_247
| ~ spl0_29
| spl0_162 ),
inference(backward_demodulation,[status(thm)],[f3266,f3290]) ).
fof(f3377,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_29
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f3266,f3376]) ).
fof(f3378,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_29
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f3251,f3377]) ).
fof(f3379,plain,
( $false
| ~ spl0_247
| ~ spl0_29
| spl0_162 ),
inference(trivial_equality_resolution,[status(esa)],[f3378]) ).
fof(f3380,plain,
( ~ spl0_247
| ~ spl0_29
| spl0_162 ),
inference(contradiction_clause,[status(thm)],[f3379]) ).
fof(f3381,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_38
| ~ spl0_246
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f3266,f2452]) ).
fof(f3382,plain,
( ~ spl0_85
| ~ spl0_247
| ~ spl0_38
| ~ spl0_246
| spl0_164 ),
inference(split_clause,[status(thm)],[f3381,f966,f1570,f781,f1566,f1270]) ).
fof(f3383,plain,
( h2(op1(e11,e12)) != op2(e21,e21)
| ~ spl0_247
| ~ spl0_246
| spl0_161 ),
inference(backward_demodulation,[status(thm)],[f3266,f2621]) ).
fof(f3384,plain,
( h2(op1(e11,e12)) != e21
| ~ spl0_247
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f3251,f3383]) ).
fof(f3397,plain,
( h3(e13) != h2(e13)
| ~ spl0_23
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f733,f2928]) ).
fof(f3398,plain,
( e23 != h2(e13)
| ~ spl0_200
| ~ spl0_23
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f1386,f3397]) ).
fof(f3404,plain,
( e22 != op2(e21,e22)
| ~ spl0_121
| ~ spl0_15
| ~ spl0_275
| spl0_204 ),
inference(backward_demodulation,[status(thm)],[f3143,f3365]) ).
fof(f3405,plain,
( h4(op1(e10,e11)) != op2(e21,h4(e11))
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(backward_demodulation,[status(thm)],[f3143,f1394]) ).
fof(f3407,plain,
( h4(e10) != op2(h4(e10),e21)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_0
| spl0_201 ),
inference(backward_demodulation,[status(thm)],[f3143,f2868]) ).
fof(f3408,plain,
( e21 != op2(h4(e10),e21)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_0
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f3143,f3407]) ).
fof(f3409,plain,
( e21 != op2(e21,e21)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_0
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f3143,f3408]) ).
fof(f3410,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_275
| ~ spl0_121
| ~ spl0_0
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f3251,f3409]) ).
fof(f3411,plain,
( $false
| ~ spl0_247
| ~ spl0_275
| ~ spl0_121
| ~ spl0_0
| spl0_201 ),
inference(trivial_equality_resolution,[status(esa)],[f3410]) ).
fof(f3412,plain,
( ~ spl0_247
| ~ spl0_275
| ~ spl0_121
| ~ spl0_0
| spl0_201 ),
inference(contradiction_clause,[status(thm)],[f3411]) ).
fof(f3413,plain,
( h4(op1(e10,e12)) != op2(e21,e23)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| spl0_203 ),
inference(backward_demodulation,[status(thm)],[f3143,f2379]) ).
fof(f3414,plain,
( h4(op1(e10,e12)) != e23
| ~ spl0_95
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f999,f3413]) ).
fof(f3415,plain,
( h4(e11) = op2(e23,e21)
| ~ spl0_275
| ~ spl0_121 ),
inference(backward_demodulation,[status(thm)],[f3143,f1997]) ).
fof(f3424,plain,
( e22 != op2(h4(e11),h4(e11))
| ~ spl0_275
| ~ spl0_23
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1683,f3328]) ).
fof(f3432,plain,
( h3(op1(e13,e13)) != e22
| ~ spl0_275
| ~ spl0_200
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1683,f2342]) ).
fof(f3435,plain,
( e21 != op2(e21,h2(e10))
| ~ spl0_247
| ~ spl0_246
| ~ spl0_18
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f3266,f2786]) ).
fof(f3436,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_246
| ~ spl0_18
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f3254,f3435]) ).
fof(f3437,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_246
| ~ spl0_18
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f3251,f3436]) ).
fof(f3438,plain,
( $false
| ~ spl0_247
| ~ spl0_246
| ~ spl0_18
| spl0_159 ),
inference(trivial_equality_resolution,[status(esa)],[f3437]) ).
fof(f3439,plain,
( ~ spl0_247
| ~ spl0_246
| ~ spl0_18
| spl0_159 ),
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3445,plain,
( e21 != op2(h2(e13),e21)
| ~ spl0_247
| ~ spl0_57
| ~ spl0_246
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f3266,f2985]) ).
fof(f3446,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_57
| ~ spl0_246
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1571,f3445]) ).
fof(f3447,plain,
( e21 != e21
| ~ spl0_247
| ~ spl0_57
| ~ spl0_246
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f3251,f3446]) ).
fof(f3448,plain,
( $false
| ~ spl0_247
| ~ spl0_57
| ~ spl0_246
| spl0_169 ),
inference(trivial_equality_resolution,[status(esa)],[f3447]) ).
fof(f3449,plain,
( ~ spl0_247
| ~ spl0_57
| ~ spl0_246
| spl0_169 ),
inference(contradiction_clause,[status(thm)],[f3448]) ).
fof(f3455,plain,
( e22 != op2(e22,h4(e10))
| ~ spl0_51
| ~ spl0_275
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1683,f3229]) ).
fof(f3456,plain,
( e22 != op2(e22,e21)
| ~ spl0_121
| ~ spl0_51
| ~ spl0_275
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f3143,f3455]) ).
fof(f3457,plain,
( e22 != e22
| ~ spl0_102
| ~ spl0_121
| ~ spl0_51
| ~ spl0_275
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1022,f3456]) ).
fof(f3458,plain,
( $false
| ~ spl0_102
| ~ spl0_121
| ~ spl0_51
| ~ spl0_275
| spl0_213 ),
inference(trivial_equality_resolution,[status(esa)],[f3457]) ).
fof(f3459,plain,
( ~ spl0_102
| ~ spl0_121
| ~ spl0_51
| ~ spl0_275
| spl0_213 ),
inference(contradiction_clause,[status(thm)],[f3458]) ).
fof(f3464,plain,
( h3(e12) = op2(e21,e20)
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(backward_demodulation,[status(thm)],[f717,f3204]) ).
fof(f3465,plain,
( e22 = op2(e21,e20)
| ~ spl0_262
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1631,f3464]) ).
fof(f3465_001,plain,
( e22 = op2(e21,e20)
| ~ spl0_262
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1631,f3464]) ).
fof(f3470,plain,
( h4(e12) != e23
| ~ spl0_62
| ~ spl0_275
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f860,f3077]) ).
fof(f3471,plain,
( ~ spl0_222
| ~ spl0_62
| ~ spl0_275
| spl0_216 ),
inference(split_clause,[status(thm)],[f3470,f1454,f859,f1682,f1434]) ).
fof(f3472,plain,
( h3(e12) != e22
| ~ spl0_62
| ~ spl0_275
| ~ spl0_200
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f860,f3432]) ).
fof(f3473,plain,
( ~ spl0_262
| ~ spl0_62
| ~ spl0_275
| ~ spl0_200
| spl0_193 ),
inference(split_clause,[status(thm)],[f3472,f1630,f859,f1682,f1385,f1361]) ).
fof(f3474,plain,
( h2(e12) != e21
| ~ spl0_62
| ~ spl0_247
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f860,f3277]) ).
fof(f3475,plain,
( ~ spl0_246
| ~ spl0_62
| ~ spl0_247
| spl0_170 ),
inference(split_clause,[status(thm)],[f3474,f1566,f859,f1570,f1288]) ).
fof(f3485,plain,
( h2(e12) = op2(h2(e13),h2(e13))
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f860,f1289]) ).
fof(f3486,plain,
( e21 = op2(h2(e13),h2(e13))
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f1567,f3485]) ).
fof(f3489,plain,
( h3(e12) != op2(e20,e22)
| ~ spl0_10
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(backward_demodulation,[status(thm)],[f691,f2709]) ).
fof(f3490,plain,
( e22 != op2(e20,e22)
| ~ spl0_10
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1631,f3489]) ).
fof(f3496,plain,
( h4(e10) != op2(h4(e11),e23)
| ~ spl0_24
| ~ spl0_222
| spl0_207 ),
inference(backward_demodulation,[status(thm)],[f737,f2623]) ).
fof(f3499,plain,
( h4(e11) != op2(e21,h4(e11))
| ~ spl0_5
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(backward_demodulation,[status(thm)],[f675,f3405]) ).
fof(f3500,plain,
( h3(e11) != op2(e20,e21)
| ~ spl0_5
| ~ spl0_252
| spl0_179 ),
inference(backward_demodulation,[status(thm)],[f675,f2921]) ).
fof(f3527,plain,
( e22 = e20
| ~ spl0_74
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f931,f925]) ).
fof(f3528,plain,
( $false
| ~ spl0_74
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f3527,f219]) ).
fof(f3529,plain,
( ~ spl0_74
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f3528]) ).
fof(f3539,plain,
( h4(e11) = e20
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f3415,f1068]) ).
fof(f3540,plain,
( $false
| spl0_265
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f3539,f1644]) ).
fof(f3541,plain,
( spl0_265
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116 ),
inference(contradiction_clause,[status(thm)],[f3540]) ).
fof(f3542,plain,
( h4(e11) != e20
| ~ spl0_57
| ~ spl0_275
| ~ spl0_222
| spl0_215 ),
inference(backward_demodulation,[status(thm)],[f844,f3067]) ).
fof(f3543,plain,
( ~ spl0_265
| ~ spl0_57
| ~ spl0_275
| ~ spl0_222
| spl0_215 ),
inference(split_clause,[status(thm)],[f3542,f1642,f843,f1682,f1454,f1431]) ).
fof(f3556,plain,
( e22 = e20
| ~ spl0_80
| ~ spl0_262
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f951,f3465]) ).
fof(f3557,plain,
( $false
| ~ spl0_80
| ~ spl0_262
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[status(thm)],[f3556,f219]) ).
fof(f3558,plain,
( ~ spl0_80
| ~ spl0_262
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(contradiction_clause,[status(thm)],[f3557]) ).
fof(f3560,plain,
( ~ spl0_122
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f3069,f1086,f1682]) ).
fof(f3568,plain,
( e21 = e23
| ~ spl0_247
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1571,f2066]) ).
fof(f3569,plain,
( $false
| ~ spl0_247
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f3568,f222]) ).
fof(f3570,plain,
( ~ spl0_247
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f3569]) ).
fof(f3575,plain,
( e23 = e20
| ~ spl0_115
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1064,f1055]) ).
fof(f3576,plain,
( $false
| ~ spl0_115
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f3575,f220]) ).
fof(f3577,plain,
( ~ spl0_115
| ~ spl0_112 ),
inference(contradiction_clause,[status(thm)],[f3576]) ).
fof(f3578,plain,
( spl0_82
| ~ spl0_262
| ~ spl0_18
| ~ spl0_252
| ~ spl0_182 ),
inference(split_clause,[status(thm)],[f3465,f956,f1630,f716,f1590,f1328]) ).
fof(f3579,plain,
( h3(e10) != e20
| ~ spl0_24
| ~ spl0_88
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f737,f2923]) ).
fof(f3580,plain,
( e20 != e20
| ~ spl0_24
| ~ spl0_88
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f1591,f3579]) ).
fof(f3581,plain,
( $false
| ~ spl0_24
| ~ spl0_88
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(trivial_equality_resolution,[status(esa)],[f3580]) ).
fof(f3582,plain,
( ~ spl0_24
| ~ spl0_88
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(contradiction_clause,[status(thm)],[f3581]) ).
fof(f3584,plain,
( e21 != op2(e20,e21)
| ~ spl0_5
| ~ spl0_252
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f2801,f3500]) ).
fof(f3585,plain,
( h2(e11) = op2(h2(e13),h2(e12))
| ~ spl0_57
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f844,f1286]) ).
fof(f3586,plain,
( h2(e11) = op2(h2(e13),e21)
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1567,f3585]) ).
fof(f3587,plain,
( h2(e10) != op2(h2(e11),e21)
| ~ spl0_24
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f737,f2621]) ).
fof(f3592,plain,
( ~ spl0_79
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f2010,f946,f998]) ).
fof(f3602,plain,
( h2(e12) != e21
| ~ spl0_10
| ~ spl0_247
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f691,f3263]) ).
fof(f3603,plain,
( e21 != e21
| ~ spl0_10
| ~ spl0_247
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f1567,f3602]) ).
fof(f3604,plain,
( $false
| ~ spl0_10
| ~ spl0_247
| ~ spl0_246
| spl0_157 ),
inference(trivial_equality_resolution,[status(esa)],[f3603]) ).
fof(f3605,plain,
( ~ spl0_10
| ~ spl0_247
| ~ spl0_246
| spl0_157 ),
inference(contradiction_clause,[status(thm)],[f3604]) ).
fof(f3606,plain,
( ~ spl0_117
| ~ spl0_247 ),
inference(split_clause,[status(thm)],[f3238,f1070,f1570]) ).
fof(f3607,plain,
( h2(e11) != e21
| ~ spl0_5
| ~ spl0_247
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f675,f3373]) ).
fof(f3608,plain,
( h2(e10) != e21
| ~ spl0_52
| ~ spl0_247
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f828,f3375]) ).
fof(f3611,plain,
( e22 = e23
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f1022,f1025]) ).
fof(f3612,plain,
( $false
| ~ spl0_102
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f3611,f223]) ).
fof(f3613,plain,
( ~ spl0_102
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f3612]) ).
fof(f3617,plain,
( ~ spl0_90
| ~ spl0_121
| ~ spl0_15
| ~ spl0_275
| spl0_204 ),
inference(split_clause,[status(thm)],[f3404,f982,f1083,f706,f1682,f1398]) ).
fof(f3620,plain,
( h4(e12) != e23
| ~ spl0_10
| ~ spl0_95
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f691,f3414]) ).
fof(f3621,plain,
( e23 != e23
| ~ spl0_10
| ~ spl0_95
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f1455,f3620]) ).
fof(f3622,plain,
( $false
| ~ spl0_10
| ~ spl0_95
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| spl0_203 ),
inference(trivial_equality_resolution,[status(esa)],[f3621]) ).
fof(f3623,plain,
( ~ spl0_10
| ~ spl0_95
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| spl0_203 ),
inference(contradiction_clause,[status(thm)],[f3622]) ).
fof(f3643,plain,
( e21 = op2(e21,e21)
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f2322,f279]) ).
fof(f3644,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f2322,f1976]) ).
fof(f3650,plain,
( h2(e11) = op2(e21,e21)
| ~ spl0_85
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169 ),
inference(backward_demodulation,[status(thm)],[f2322,f3586]) ).
fof(f3659,plain,
( e22 = op2(e20,e20)
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f2075,f275]) ).
fof(f3660,plain,
( h1(e10) = op2(e20,e22)
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f2075,f1967]) ).
fof(f3672,plain,
( e21 = op2(e21,h2(e13))
| ~ spl0_85
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2322,f3486]) ).
fof(f3673,plain,
( e21 = op2(e21,e21)
| ~ spl0_85
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2322,f3672]) ).
fof(f3694,plain,
( e22 != op2(h4(e11),e20)
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_23
| spl0_206 ),
inference(backward_demodulation,[status(thm)],[f3539,f3424]) ).
fof(f3695,plain,
( e22 != op2(e20,e20)
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_23
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f3539,f3694]) ).
fof(f3696,plain,
( e23 != op2(e23,e20)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_38
| ~ spl0_222
| spl0_210 ),
inference(backward_demodulation,[status(thm)],[f3539,f2501]) ).
fof(f3697,plain,
( ~ spl0_115
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_38
| ~ spl0_222
| spl0_210 ),
inference(split_clause,[status(thm)],[f3696,f1063,f1682,f1083,f1067,f781,f1454,f1416]) ).
fof(f3726,plain,
( e21 != op2(e22,h4(e11))
| ~ spl0_121
| ~ spl0_52
| ~ spl0_275
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f3143,f3166]) ).
fof(f3727,plain,
( e21 != op2(e22,e20)
| ~ spl0_116
| ~ spl0_121
| ~ spl0_52
| ~ spl0_275
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f3539,f3726]) ).
fof(f3728,plain,
( e21 != e21
| ~ spl0_116
| ~ spl0_121
| ~ spl0_52
| ~ spl0_275
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1951,f3727]) ).
fof(f3729,plain,
( $false
| ~ spl0_116
| ~ spl0_121
| ~ spl0_52
| ~ spl0_275
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f3728]) ).
fof(f3730,plain,
( ~ spl0_116
| ~ spl0_121
| ~ spl0_52
| ~ spl0_275
| spl0_214 ),
inference(contradiction_clause,[status(thm)],[f3729]) ).
fof(f3735,plain,
( e20 != op2(h4(e11),e22)
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_29
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f3539,f3352]) ).
fof(f3736,plain,
( e20 != op2(e20,e22)
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_29
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f3539,f3735]) ).
fof(f3747,plain,
( e21 != op2(h4(e11),e23)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_24
| ~ spl0_222
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f3143,f3496]) ).
fof(f3748,plain,
( e21 != op2(e20,e23)
| ~ spl0_116
| ~ spl0_275
| ~ spl0_121
| ~ spl0_24
| ~ spl0_222
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f3539,f3747]) ).
fof(f3749,plain,
( e21 != e21
| ~ spl0_77
| ~ spl0_116
| ~ spl0_275
| ~ spl0_121
| ~ spl0_24
| ~ spl0_222
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f941,f3748]) ).
fof(f3750,plain,
( $false
| ~ spl0_77
| ~ spl0_116
| ~ spl0_275
| ~ spl0_121
| ~ spl0_24
| ~ spl0_222
| spl0_207 ),
inference(trivial_equality_resolution,[status(esa)],[f3749]) ).
fof(f3751,plain,
( ~ spl0_77
| ~ spl0_116
| ~ spl0_275
| ~ spl0_121
| ~ spl0_24
| ~ spl0_222
| spl0_207 ),
inference(contradiction_clause,[status(thm)],[f3750]) ).
fof(f3756,plain,
( e23 != op2(e20,h4(e10))
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_222
| ~ spl0_18
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f3539,f2384]) ).
fof(f3757,plain,
( e23 != op2(e20,e21)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_222
| ~ spl0_18
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f3143,f3756]) ).
fof(f3758,plain,
( e23 != e23
| ~ spl0_71
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_222
| ~ spl0_18
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f921,f3757]) ).
fof(f3759,plain,
( $false
| ~ spl0_71
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_222
| ~ spl0_18
| spl0_205 ),
inference(trivial_equality_resolution,[status(esa)],[f3758]) ).
fof(f3760,plain,
( ~ spl0_71
| ~ spl0_275
| ~ spl0_121
| ~ spl0_116
| ~ spl0_222
| ~ spl0_18
| spl0_205 ),
inference(contradiction_clause,[status(thm)],[f3759]) ).
fof(f3772,plain,
( e21 != op2(h2(e11),e21)
| ~ spl0_247
| ~ spl0_24
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f3254,f3587]) ).
fof(f3773,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_24
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f3266,f3772]) ).
fof(f3774,plain,
( e21 != e21
| ~ spl0_85
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_24
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f3673,f3773]) ).
fof(f3775,plain,
( $false
| ~ spl0_85
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_24
| ~ spl0_246
| spl0_161 ),
inference(trivial_equality_resolution,[status(esa)],[f3774]) ).
fof(f3776,plain,
( ~ spl0_85
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_24
| ~ spl0_246
| spl0_161 ),
inference(contradiction_clause,[status(thm)],[f3775]) ).
fof(f3795,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_247
| ~ spl0_23
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f3266,f3326]) ).
fof(f3796,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_23
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f3266,f3795]) ).
fof(f3797,plain,
( e21 != e21
| ~ spl0_85
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_23
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f3673,f3796]) ).
fof(f3798,plain,
( $false
| ~ spl0_85
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_23
| spl0_160 ),
inference(trivial_equality_resolution,[status(esa)],[f3797]) ).
fof(f3799,plain,
( ~ spl0_85
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_23
| spl0_160 ),
inference(contradiction_clause,[status(thm)],[f3798]) ).
fof(f3804,plain,
( e21 != e21
| ~ spl0_5
| ~ spl0_247
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f3266,f3607]) ).
fof(f3805,plain,
( $false
| ~ spl0_5
| ~ spl0_247
| spl0_156 ),
inference(trivial_equality_resolution,[status(esa)],[f3804]) ).
fof(f3806,plain,
( ~ spl0_5
| ~ spl0_247
| spl0_156 ),
inference(contradiction_clause,[status(thm)],[f3805]) ).
fof(f3811,plain,
( e21 != e21
| ~ spl0_52
| ~ spl0_247
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f3254,f3608]) ).
fof(f3812,plain,
( $false
| ~ spl0_52
| ~ spl0_247
| spl0_168 ),
inference(trivial_equality_resolution,[status(esa)],[f3811]) ).
fof(f3813,plain,
( ~ spl0_52
| ~ spl0_247
| spl0_168 ),
inference(contradiction_clause,[status(thm)],[f3812]) ).
fof(f3821,plain,
( $false
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_29
| spl0_208
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f3736]) ).
fof(f3822,plain,
( ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_29
| spl0_208
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f3821]) ).
fof(f3827,plain,
( e21 = op2(e21,e21)
| ~ spl0_247
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f3254,f3644]) ).
fof(f3828,plain,
( h1(e10) = e20
| ~ spl0_66
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f3660,f925]) ).
fof(f3829,plain,
( e20 = op2(e20,e22)
| ~ spl0_72
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f3828,f3660]) ).
fof(f3832,plain,
( h1(e11) = op2(e20,e20)
| ~ spl0_66
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f3828,f1966]) ).
fof(f3833,plain,
( h1(e11) = e22
| ~ spl0_66
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f3659,f3832]) ).
fof(f3834,plain,
( $false
| spl0_237
| ~ spl0_66
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f3833,f1532]) ).
fof(f3835,plain,
( spl0_237
| ~ spl0_66
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f3834]) ).
fof(f3904,plain,
( e20 != op2(e21,h4(e11))
| ~ spl0_116
| ~ spl0_5
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f3539,f3499]) ).
fof(f3905,plain,
( e20 != op2(e21,e20)
| ~ spl0_116
| ~ spl0_5
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f3539,f3904]) ).
fof(f3906,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_116
| ~ spl0_5
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f951,f3905]) ).
fof(f3907,plain,
( $false
| ~ spl0_80
| ~ spl0_116
| ~ spl0_5
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(trivial_equality_resolution,[status(esa)],[f3906]) ).
fof(f3908,plain,
( ~ spl0_80
| ~ spl0_116
| ~ spl0_5
| ~ spl0_275
| ~ spl0_121
| spl0_202 ),
inference(contradiction_clause,[status(thm)],[f3907]) ).
fof(f3937,plain,
( e22 != e22
| ~ spl0_66
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_23
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f3659,f3695]) ).
fof(f3938,plain,
( $false
| ~ spl0_66
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_23
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f3937]) ).
fof(f3939,plain,
( ~ spl0_66
| ~ spl0_121
| ~ spl0_116
| ~ spl0_275
| ~ spl0_23
| spl0_206 ),
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3963,plain,
( ~ spl0_177
| ~ spl0_200
| ~ spl0_23
| ~ spl0_252
| spl0_183 ),
inference(split_clause,[status(thm)],[f3398,f1312,f1385,f732,f1590,f1331]) ).
fof(f3975,plain,
( ~ spl0_93
| ~ spl0_29
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(split_clause,[status(thm)],[f3247,f992,f752,f1590,f1385,f1337]) ).
fof(f3976,plain,
( ~ spl0_69
| ~ spl0_5
| ~ spl0_252
| spl0_179 ),
inference(split_clause,[status(thm)],[f3584,f914,f674,f1590,f1319]) ).
fof(f3983,plain,
( ~ spl0_74
| ~ spl0_10
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(split_clause,[status(thm)],[f3490,f930,f690,f1590,f1630,f1322]) ).
fof(f3987,plain,
( h1(e12) != e20
| ~ spl0_62
| ~ spl0_231
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f860,f3119]) ).
fof(f3988,plain,
( e20 != e20
| ~ spl0_230
| ~ spl0_62
| ~ spl0_231
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1503,f3987]) ).
fof(f3989,plain,
( $false
| ~ spl0_230
| ~ spl0_62
| ~ spl0_231
| spl0_147 ),
inference(trivial_equality_resolution,[status(esa)],[f3988]) ).
fof(f3990,plain,
( ~ spl0_230
| ~ spl0_62
| ~ spl0_231
| spl0_147 ),
inference(contradiction_clause,[status(thm)],[f3989]) ).
fof(f3992,plain,
( h3(e13) = op2(h3(e11),h3(e11))
| ~ spl0_23
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f733,f1332]) ).
fof(f3993,plain,
( e23 = op2(h3(e11),h3(e11))
| ~ spl0_200
| ~ spl0_23
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f1386,f3992]) ).
fof(f3994,plain,
( e23 = op2(e21,h3(e11))
| ~ spl0_252
| ~ spl0_200
| ~ spl0_23
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f2801,f3993]) ).
fof(f3995,plain,
( e23 = op2(e21,e21)
| ~ spl0_252
| ~ spl0_200
| ~ spl0_23
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f2801,f3994]) ).
fof(f3996,plain,
( h1(e12) = op2(h1(e13),h1(e13))
| ~ spl0_62
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f860,f1216]) ).
fof(f3997,plain,
( e20 = op2(h1(e13),h1(e13))
| ~ spl0_230
| ~ spl0_62
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1503,f3996]) ).
fof(f4013,plain,
( e20 = e23
| ~ spl0_116
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1068,f1077]) ).
fof(f4014,plain,
( $false
| ~ spl0_116
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f4013,f220]) ).
fof(f4015,plain,
( ~ spl0_116
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f4014]) ).
fof(f4027,plain,
( h3(e13) != e23
| ~ spl0_51
| ~ spl0_115
| ~ spl0_252
| ~ spl0_200
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f824,f2946]) ).
fof(f4028,plain,
( e23 != e23
| ~ spl0_51
| ~ spl0_115
| ~ spl0_252
| ~ spl0_200
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1386,f4027]) ).
fof(f4029,plain,
( $false
| ~ spl0_51
| ~ spl0_115
| ~ spl0_252
| ~ spl0_200
| spl0_190 ),
inference(trivial_equality_resolution,[status(esa)],[f4028]) ).
fof(f4030,plain,
( ~ spl0_51
| ~ spl0_115
| ~ spl0_252
| ~ spl0_200
| spl0_190 ),
inference(contradiction_clause,[status(thm)],[f4029]) ).
fof(f4034,plain,
( h3(e10) != op2(e23,e21)
| ~ spl0_52
| ~ spl0_252
| ~ spl0_200
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f828,f2924]) ).
fof(f4035,plain,
( e20 != op2(e23,e21)
| ~ spl0_52
| ~ spl0_252
| ~ spl0_200
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1591,f4034]) ).
fof(f4036,plain,
( e20 != e20
| ~ spl0_116
| ~ spl0_52
| ~ spl0_252
| ~ spl0_200
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1068,f4035]) ).
fof(f4037,plain,
( $false
| ~ spl0_116
| ~ spl0_52
| ~ spl0_252
| ~ spl0_200
| spl0_191 ),
inference(trivial_equality_resolution,[status(esa)],[f4036]) ).
fof(f4038,plain,
( ~ spl0_116
| ~ spl0_52
| ~ spl0_252
| ~ spl0_200
| spl0_191 ),
inference(contradiction_clause,[status(thm)],[f4037]) ).
fof(f4041,plain,
( h3(e11) != op2(e23,e22)
| ~ spl0_57
| ~ spl0_262
| ~ spl0_200
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f844,f2388]) ).
fof(f4042,plain,
( e21 != op2(e23,e22)
| ~ spl0_252
| ~ spl0_57
| ~ spl0_262
| ~ spl0_200
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f2801,f4041]) ).
fof(f4050,plain,
( ~ spl0_79
| ~ spl0_223 ),
inference(split_clause,[status(thm)],[f2474,f946,f1458]) ).
fof(f4051,plain,
( ~ spl0_121
| ~ spl0_252
| ~ spl0_57
| ~ spl0_262
| ~ spl0_200
| spl0_192 ),
inference(split_clause,[status(thm)],[f4042,f1083,f1590,f843,f1630,f1385,f1358]) ).
fof(f4060,plain,
( e13 = e12
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f824,f821]) ).
fof(f4061,plain,
( $false
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f4060,f217]) ).
fof(f4062,plain,
( ~ spl0_51
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f4061]) ).
fof(f4065,plain,
( ~ spl0_63
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f3189,f862,f823]) ).
fof(f4078,plain,
( e11 = e13
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f675,f681]) ).
fof(f4079,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f4078,f216]) ).
fof(f4080,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f4079]) ).
fof(f4081,plain,
( op1(e10,e11) != e12
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f691,f143]) ).
fof(f4082,plain,
( ~ spl0_21
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f3201,f726,f752]) ).
fof(f4083,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2680,f752,f700]) ).
fof(f4144,plain,
( e22 = op2(e20,h1(e10))
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f1531,f1966]) ).
fof(f4145,plain,
( e22 = op2(e20,e20)
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f1539,f275]) ).
fof(f4177,plain,
( h3(op1(e11,e10)) != e20
| ~ spl0_80
| ~ spl0_252
| spl0_182 ),
inference(backward_demodulation,[status(thm)],[f951,f2920]) ).
fof(f4194,plain,
( e22 = op2(e20,e20)
| ~ spl0_66
| ~ spl0_72
| ~ spl0_237 ),
inference(backward_demodulation,[status(thm)],[f3828,f4144]) ).
fof(f4237,plain,
( e11 != op1(e11,e12)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f727,f149]) ).
fof(f4238,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f4237,f739,f726]) ).
fof(f4240,plain,
( e11 != op1(e13,e11)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f727,f126]) ).
fof(f4241,plain,
( ~ spl0_53
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f4240,f830,f726]) ).
fof(f4254,plain,
( spl0_87
| ~ spl0_252
| ~ spl0_200
| ~ spl0_23
| ~ spl0_183 ),
inference(split_clause,[status(thm)],[f3995,f972,f1590,f1385,f732,f1331]) ).
fof(f4259,plain,
( h2(e11) = op2(e21,e21)
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1571,f3586]) ).
fof(f4260,plain,
( h2(e11) = e21
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f3827,f4259]) ).
fof(f4281,plain,
( h4(e11) = op2(h4(e11),h4(e11))
| ~ spl0_21
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f727,f1405]) ).
fof(f4282,plain,
( e20 = op2(h4(e11),h4(e11))
| ~ spl0_265
| ~ spl0_21
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1643,f4281]) ).
fof(f4283,plain,
( e20 = op2(e20,h4(e11))
| ~ spl0_265
| ~ spl0_21
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1643,f4282]) ).
fof(f4284,plain,
( e20 = op2(e20,e20)
| ~ spl0_265
| ~ spl0_21
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1643,f4283]) ).
fof(f4285,plain,
( e20 = e22
| ~ spl0_239
| ~ spl0_265
| ~ spl0_21
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f4145,f4284]) ).
fof(f4286,plain,
( $false
| ~ spl0_239
| ~ spl0_265
| ~ spl0_21
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[status(thm)],[f4285,f219]) ).
fof(f4287,plain,
( ~ spl0_239
| ~ spl0_265
| ~ spl0_21
| ~ spl0_206 ),
inference(contradiction_clause,[status(thm)],[f4286]) ).
fof(f4294,plain,
( e11 = e13
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f727,f733]) ).
fof(f4295,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f4294,f216]) ).
fof(f4296,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f4295]) ).
fof(f4304,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f4081,f677,f690]) ).
fof(f4325,plain,
( e11 = e10
| ~ spl0_21
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f727,f724]) ).
fof(f4326,plain,
( $false
| ~ spl0_21
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f4325,f212]) ).
fof(f4327,plain,
( ~ spl0_21
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f4326]) ).
fof(f4328,plain,
( h4(e11) != op2(h4(e11),h4(e11))
| ~ spl0_21
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f727,f1406]) ).
fof(f4329,plain,
( e20 != op2(h4(e11),h4(e11))
| ~ spl0_265
| ~ spl0_21
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1643,f4328]) ).
fof(f4330,plain,
( e20 != op2(e20,h4(e11))
| ~ spl0_265
| ~ spl0_21
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1643,f4329]) ).
fof(f4331,plain,
( e20 != op2(e20,e20)
| ~ spl0_265
| ~ spl0_21
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1643,f4330]) ).
fof(f4335,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f3218,f684,f671]) ).
fof(f4338,plain,
( ~ spl0_48
| ~ spl0_52 ),
inference(split_clause,[status(thm)],[f3172,f814,f827]) ).
fof(f4346,plain,
( h4(op1(e11,e12)) != op2(e20,e23)
| ~ spl0_265
| ~ spl0_222
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1643,f2623]) ).
fof(f4347,plain,
( h4(op1(e11,e10)) != op2(e20,h4(e10))
| ~ spl0_265
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f1643,f1403]) ).
fof(f4348,plain,
( h4(op1(e11,e10)) != op2(e20,e21)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f3143,f4347]) ).
fof(f4440,plain,
( e20 = op2(e22,h1(e13))
| ~ spl0_239
| ~ spl0_230
| ~ spl0_62
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1539,f3997]) ).
fof(f4441,plain,
( e20 = op2(e22,e22)
| ~ spl0_239
| ~ spl0_230
| ~ spl0_62
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1539,f4440]) ).
fof(f4442,plain,
( e20 = e23
| ~ spl0_239
| ~ spl0_230
| ~ spl0_62
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f271,f4441]) ).
fof(f4443,plain,
( $false
| ~ spl0_239
| ~ spl0_230
| ~ spl0_62
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[status(thm)],[f4442,f220]) ).
fof(f4444,plain,
( ~ spl0_239
| ~ spl0_230
| ~ spl0_62
| ~ spl0_147 ),
inference(contradiction_clause,[status(thm)],[f4443]) ).
fof(f4484,plain,
( h4(e12) != op2(e20,e23)
| ~ spl0_26
| ~ spl0_265
| ~ spl0_222
| spl0_207 ),
inference(backward_demodulation,[status(thm)],[f743,f4346]) ).
fof(f4485,plain,
( e23 != op2(e20,e23)
| ~ spl0_26
| ~ spl0_265
| ~ spl0_222
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1455,f4484]) ).
fof(f4496,plain,
( h4(e10) != op2(e20,e21)
| ~ spl0_16
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| spl0_205 ),
inference(backward_demodulation,[status(thm)],[f711,f4348]) ).
fof(f4497,plain,
( e21 != op2(e20,e21)
| ~ spl0_16
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| spl0_205 ),
inference(forward_demodulation,[status(thm)],[f3143,f4496]) ).
fof(f4502,plain,
( e21 = op2(h2(e13),e23)
| ~ spl0_87
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(backward_demodulation,[status(thm)],[f2066,f3486]) ).
fof(f4503,plain,
( e21 = op2(e23,e23)
| ~ spl0_87
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2066,f4502]) ).
fof(f4504,plain,
( e21 = e22
| ~ spl0_275
| ~ spl0_87
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3071,f4503]) ).
fof(f4505,plain,
( $false
| ~ spl0_275
| ~ spl0_87
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[status(thm)],[f4504,f221]) ).
fof(f4506,plain,
( ~ spl0_275
| ~ spl0_87
| ~ spl0_246
| ~ spl0_62
| ~ spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4505]) ).
fof(f4508,plain,
( h3(e12) != e22
| ~ spl0_26
| ~ spl0_90
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f743,f3224]) ).
fof(f4509,plain,
( e22 != e22
| ~ spl0_26
| ~ spl0_90
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f1631,f4508]) ).
fof(f4510,plain,
( $false
| ~ spl0_26
| ~ spl0_90
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(trivial_equality_resolution,[status(esa)],[f4509]) ).
fof(f4511,plain,
( ~ spl0_26
| ~ spl0_90
| ~ spl0_252
| ~ spl0_262
| spl0_184 ),
inference(contradiction_clause,[status(thm)],[f4510]) ).
fof(f4533,plain,
( e22 = h1(e13)
| ~ spl0_66
| ~ spl0_72
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f275,f4194]) ).
fof(f4545,plain,
( e20 != h1(e13)
| ~ spl0_265
| ~ spl0_21
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f275,f4331]) ).
fof(f4547,plain,
( h2(e10) != e21
| ~ spl0_16
| ~ spl0_247
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f711,f3371]) ).
fof(f4548,plain,
( e22 = h1(e11)
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f1966,f4144]) ).
fof(f4561,plain,
( h2(e10) != op2(h2(e10),e21)
| ~ spl0_8
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f685,f2692]) ).
fof(f4563,plain,
( h2(e12) != e21
| ~ spl0_26
| ~ spl0_247
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f743,f3384]) ).
fof(f4564,plain,
( e21 != e21
| ~ spl0_26
| ~ spl0_247
| ~ spl0_246
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f1567,f4563]) ).
fof(f4565,plain,
( $false
| ~ spl0_26
| ~ spl0_247
| ~ spl0_246
| spl0_161 ),
inference(trivial_equality_resolution,[status(esa)],[f4564]) ).
fof(f4566,plain,
( ~ spl0_26
| ~ spl0_247
| ~ spl0_246
| spl0_161 ),
inference(contradiction_clause,[status(thm)],[f4565]) ).
fof(f4569,plain,
( h4(e10) != op2(h4(e10),e23)
| ~ spl0_8
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f685,f2379]) ).
fof(f4570,plain,
( e21 != op2(h4(e10),e23)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_8
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f3143,f4569]) ).
fof(f4571,plain,
( e21 != op2(e21,e23)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_8
| ~ spl0_222
| spl0_203 ),
inference(forward_demodulation,[status(thm)],[f3143,f4570]) ).
fof(f4574,plain,
( h2(e12) != op2(h2(e10),h2(e10))
| ~ spl0_2
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f665,f1245]) ).
fof(f4575,plain,
( e21 != op2(h2(e10),h2(e10))
| ~ spl0_246
| ~ spl0_2
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f1567,f4574]) ).
fof(f4576,plain,
( h4(e12) != op2(h4(e10),h4(e10))
| ~ spl0_2
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f665,f1391]) ).
fof(f4577,plain,
( e23 != op2(h4(e10),h4(e10))
| ~ spl0_222
| ~ spl0_2
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f1455,f4576]) ).
fof(f4578,plain,
( e23 != op2(e21,h4(e10))
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| ~ spl0_2
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f3143,f4577]) ).
fof(f4579,plain,
( e23 != op2(e21,e21)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| ~ spl0_2
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f3143,f4578]) ).
fof(f4580,plain,
( h3(e12) != h1(e13)
| ~ spl0_2
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f665,f2714]) ).
fof(f4581,plain,
( e22 != h1(e13)
| ~ spl0_262
| ~ spl0_2
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f1631,f4580]) ).
fof(f4604,plain,
( e21 = h2(e13)
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f279,f3643]) ).
fof(f4618,plain,
( e21 = op2(e21,e21)
| ~ spl0_247
| ~ spl0_85
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f4260,f3650]) ).
fof(f4619,plain,
( e21 = h2(e10)
| ~ spl0_247
| ~ spl0_85
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169 ),
inference(forward_demodulation,[status(thm)],[f3644,f4618]) ).
fof(f4765,plain,
( e20 != op2(e20,e22)
| ~ spl0_237
| ~ spl0_38
| ~ spl0_230
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f4548,f2885]) ).
fof(f4766,plain,
( e20 != e20
| ~ spl0_72
| ~ spl0_66
| ~ spl0_237
| ~ spl0_38
| ~ spl0_230
| spl0_141 ),
inference(forward_demodulation,[status(thm)],[f3829,f4765]) ).
fof(f4767,plain,
( $false
| ~ spl0_72
| ~ spl0_66
| ~ spl0_237
| ~ spl0_38
| ~ spl0_230
| spl0_141 ),
inference(trivial_equality_resolution,[status(esa)],[f4766]) ).
fof(f4768,plain,
( ~ spl0_72
| ~ spl0_66
| ~ spl0_237
| ~ spl0_38
| ~ spl0_230
| spl0_141 ),
inference(contradiction_clause,[status(thm)],[f4767]) ).
fof(f4923,plain,
( e21 != e21
| ~ spl0_85
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_16
| ~ spl0_247
| spl0_159 ),
inference(forward_demodulation,[status(thm)],[f4619,f4547]) ).
fof(f4924,plain,
( $false
| ~ spl0_85
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_16
| ~ spl0_247
| spl0_159 ),
inference(trivial_equality_resolution,[status(esa)],[f4923]) ).
fof(f4925,plain,
( ~ spl0_85
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_16
| ~ spl0_247
| spl0_159 ),
inference(contradiction_clause,[status(thm)],[f4924]) ).
fof(f4945,plain,
( e21 != op2(h2(e10),e21)
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_8
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f4619,f4561]) ).
fof(f4946,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_8
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f4619,f4945]) ).
fof(f4947,plain,
( e21 != e21
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_8
| ~ spl0_246
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f3673,f4946]) ).
fof(f4948,plain,
( $false
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_8
| ~ spl0_246
| spl0_157 ),
inference(trivial_equality_resolution,[status(esa)],[f4947]) ).
fof(f4949,plain,
( ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_8
| ~ spl0_246
| spl0_157 ),
inference(contradiction_clause,[status(thm)],[f4948]) ).
fof(f4987,plain,
( e21 != op2(e21,h2(e10))
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_246
| ~ spl0_2
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f4619,f4575]) ).
fof(f4988,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_246
| ~ spl0_2
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f4619,f4987]) ).
fof(f4989,plain,
( e21 != e21
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_246
| ~ spl0_2
| spl0_155 ),
inference(forward_demodulation,[status(thm)],[f3673,f4988]) ).
fof(f4990,plain,
( $false
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_246
| ~ spl0_2
| spl0_155 ),
inference(trivial_equality_resolution,[status(esa)],[f4989]) ).
fof(f4991,plain,
( ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_85
| ~ spl0_57
| ~ spl0_169
| ~ spl0_246
| ~ spl0_2
| spl0_155 ),
inference(contradiction_clause,[status(thm)],[f4990]) ).
fof(f4997,plain,
( e22 != e22
| ~ spl0_66
| ~ spl0_72
| ~ spl0_237
| ~ spl0_262
| ~ spl0_2
| ~ spl0_252
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f4533,f4581]) ).
fof(f4998,plain,
( $false
| ~ spl0_66
| ~ spl0_72
| ~ spl0_237
| ~ spl0_262
| ~ spl0_2
| ~ spl0_252
| spl0_178 ),
inference(trivial_equality_resolution,[status(esa)],[f4997]) ).
fof(f4999,plain,
( ~ spl0_66
| ~ spl0_72
| ~ spl0_237
| ~ spl0_262
| ~ spl0_2
| ~ spl0_252
| spl0_178 ),
inference(contradiction_clause,[status(thm)],[f4998]) ).
fof(f5004,plain,
( h2(e13) != op2(h2(e11),h2(e13))
| ~ spl0_31
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f759,f1266]) ).
fof(f5005,plain,
( e21 != op2(h2(e11),h2(e13))
| ~ spl0_85
| ~ spl0_31
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f4604,f5004]) ).
fof(f5006,plain,
( e21 != op2(e21,h2(e13))
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_85
| ~ spl0_31
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f4260,f5005]) ).
fof(f5007,plain,
( e21 != op2(e21,e21)
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_85
| ~ spl0_31
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f4604,f5006]) ).
fof(f5008,plain,
( e21 != e21
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_85
| ~ spl0_31
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f3673,f5007]) ).
fof(f5009,plain,
( $false
| ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_85
| ~ spl0_31
| spl0_162 ),
inference(trivial_equality_resolution,[status(esa)],[f5008]) ).
fof(f5010,plain,
( ~ spl0_62
| ~ spl0_170
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_85
| ~ spl0_31
| spl0_162 ),
inference(contradiction_clause,[status(thm)],[f5009]) ).
fof(f5022,plain,
( e22 != op2(h4(e11),h4(e13))
| ~ spl0_275
| ~ spl0_31
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f1683,f2139]) ).
fof(f5023,plain,
( e22 != op2(e20,h4(e13))
| ~ spl0_265
| ~ spl0_275
| ~ spl0_31
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f1643,f5022]) ).
fof(f5024,plain,
( e22 != op2(e20,e22)
| ~ spl0_265
| ~ spl0_275
| ~ spl0_31
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f1683,f5023]) ).
fof(f5026,plain,
( h2(e11) != op2(h2(e11),h2(e11))
| ~ spl0_21
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f727,f1260]) ).
fof(f5027,plain,
( e21 != op2(h2(e11),h2(e11))
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_21
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f4260,f5026]) ).
fof(f5028,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_21
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f4260,f5027]) ).
fof(f5029,plain,
( e21 != op2(e21,e21)
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_21
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f4260,f5028]) ).
fof(f5030,plain,
( e21 != e21
| ~ spl0_62
| ~ spl0_170
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_21
| spl0_160 ),
inference(forward_demodulation,[status(thm)],[f3673,f5029]) ).
fof(f5031,plain,
( $false
| ~ spl0_62
| ~ spl0_170
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_21
| spl0_160 ),
inference(trivial_equality_resolution,[status(esa)],[f5030]) ).
fof(f5032,plain,
( ~ spl0_62
| ~ spl0_170
| ~ spl0_85
| ~ spl0_247
| ~ spl0_246
| ~ spl0_57
| ~ spl0_169
| ~ spl0_21
| spl0_160 ),
inference(contradiction_clause,[status(thm)],[f5031]) ).
fof(f5033,plain,
( h2(e13) != e21
| ~ spl0_7
| ~ spl0_247
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f681,f3373]) ).
fof(f5034,plain,
( e21 != e21
| ~ spl0_85
| ~ spl0_7
| ~ spl0_247
| spl0_156 ),
inference(forward_demodulation,[status(thm)],[f4604,f5033]) ).
fof(f5035,plain,
( $false
| ~ spl0_85
| ~ spl0_7
| ~ spl0_247
| spl0_156 ),
inference(trivial_equality_resolution,[status(esa)],[f5034]) ).
fof(f5036,plain,
( ~ spl0_85
| ~ spl0_7
| ~ spl0_247
| spl0_156 ),
inference(contradiction_clause,[status(thm)],[f5035]) ).
fof(f5049,plain,
( e22 != op2(h4(e10),h4(e11))
| ~ spl0_275
| ~ spl0_7
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1683,f2274]) ).
fof(f5050,plain,
( e22 != op2(e21,h4(e11))
| ~ spl0_121
| ~ spl0_275
| ~ spl0_7
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f3143,f5049]) ).
fof(f5051,plain,
( e22 != op2(e21,e20)
| ~ spl0_265
| ~ spl0_121
| ~ spl0_275
| ~ spl0_7
| spl0_202 ),
inference(forward_demodulation,[status(thm)],[f1643,f5050]) ).
fof(f5057,plain,
( h4(e11) != op2(h4(e10),h4(e13))
| ~ spl0_13
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f701,f1400]) ).
fof(f5058,plain,
( e20 != op2(h4(e10),h4(e13))
| ~ spl0_265
| ~ spl0_13
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f1643,f5057]) ).
fof(f5059,plain,
( e20 != op2(e21,h4(e13))
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| ~ spl0_13
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f3143,f5058]) ).
fof(f5060,plain,
( e20 != op2(e21,e22)
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| ~ spl0_13
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f1683,f5059]) ).
fof(f5062,plain,
( h3(e13) != op2(e21,e23)
| ~ spl0_31
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f759,f2929]) ).
fof(f5063,plain,
( e23 != op2(e21,e23)
| ~ spl0_31
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1386,f5062]) ).
fof(f5064,plain,
( e23 != e23
| ~ spl0_95
| ~ spl0_31
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f999,f5063]) ).
fof(f5065,plain,
( $false
| ~ spl0_95
| ~ spl0_31
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f5064]) ).
fof(f5066,plain,
( ~ spl0_95
| ~ spl0_31
| ~ spl0_252
| ~ spl0_200
| spl0_185 ),
inference(contradiction_clause,[status(thm)],[f5065]) ).
fof(f5083,plain,
( h3(e10) != e20
| ~ spl0_8
| ~ spl0_72
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f685,f3227]) ).
fof(f5084,plain,
( e20 != e20
| ~ spl0_8
| ~ spl0_72
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1591,f5083]) ).
fof(f5085,plain,
( $false
| ~ spl0_8
| ~ spl0_72
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(trivial_equality_resolution,[status(esa)],[f5084]) ).
fof(f5086,plain,
( ~ spl0_8
| ~ spl0_72
| ~ spl0_252
| ~ spl0_262
| spl0_180 ),
inference(contradiction_clause,[status(thm)],[f5085]) ).
fof(f5087,plain,
( h3(e10) = op2(h3(e10),h3(e12))
| ~ spl0_8
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f685,f1323]) ).
fof(f5088,plain,
( e20 = op2(h3(e10),h3(e12))
| ~ spl0_252
| ~ spl0_8
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1591,f5087]) ).
fof(f5089,plain,
( e20 = op2(e20,h3(e12))
| ~ spl0_252
| ~ spl0_8
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1591,f5088]) ).
fof(f5090,plain,
( e20 = op2(e20,e22)
| ~ spl0_262
| ~ spl0_252
| ~ spl0_8
| ~ spl0_180 ),
inference(forward_demodulation,[status(thm)],[f1631,f5089]) ).
fof(f5091,plain,
( h3(e13) != op2(e20,e21)
| ~ spl0_7
| ~ spl0_252
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f681,f2921]) ).
fof(f5092,plain,
( e23 != op2(e20,e21)
| ~ spl0_200
| ~ spl0_7
| ~ spl0_252
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f1386,f5091]) ).
fof(f5093,plain,
( e23 != e23
| ~ spl0_71
| ~ spl0_200
| ~ spl0_7
| ~ spl0_252
| spl0_179 ),
inference(forward_demodulation,[status(thm)],[f921,f5092]) ).
fof(f5094,plain,
( $false
| ~ spl0_71
| ~ spl0_200
| ~ spl0_7
| ~ spl0_252
| spl0_179 ),
inference(trivial_equality_resolution,[status(esa)],[f5093]) ).
fof(f5095,plain,
( ~ spl0_71
| ~ spl0_200
| ~ spl0_7
| ~ spl0_252
| spl0_179 ),
inference(contradiction_clause,[status(thm)],[f5094]) ).
fof(f5096,plain,
( h3(e13) = op2(h3(e10),h3(e11))
| ~ spl0_7
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f681,f1320]) ).
fof(f5097,plain,
( e23 = op2(h3(e10),h3(e11))
| ~ spl0_200
| ~ spl0_7
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f1386,f5096]) ).
fof(f5098,plain,
( e23 = op2(e20,h3(e11))
| ~ spl0_252
| ~ spl0_200
| ~ spl0_7
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f1591,f5097]) ).
fof(f5099,plain,
( e23 = op2(e20,e21)
| ~ spl0_252
| ~ spl0_200
| ~ spl0_7
| ~ spl0_179 ),
inference(forward_demodulation,[status(thm)],[f2801,f5098]) ).
fof(f5100,plain,
( h3(e11) != op2(e20,e23)
| ~ spl0_13
| ~ spl0_252
| ~ spl0_200
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f701,f2708]) ).
fof(f5101,plain,
( e21 != op2(e20,e23)
| ~ spl0_13
| ~ spl0_252
| ~ spl0_200
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f2801,f5100]) ).
fof(f5102,plain,
( e21 != e21
| ~ spl0_77
| ~ spl0_13
| ~ spl0_252
| ~ spl0_200
| spl0_181 ),
inference(forward_demodulation,[status(thm)],[f941,f5101]) ).
fof(f5103,plain,
( $false
| ~ spl0_77
| ~ spl0_13
| ~ spl0_252
| ~ spl0_200
| spl0_181 ),
inference(trivial_equality_resolution,[status(esa)],[f5102]) ).
fof(f5104,plain,
( ~ spl0_77
| ~ spl0_13
| ~ spl0_252
| ~ spl0_200
| spl0_181 ),
inference(contradiction_clause,[status(thm)],[f5103]) ).
fof(f5109,plain,
( h3(e11) != h2(e13)
| ~ spl0_21
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f727,f2928]) ).
fof(f5110,plain,
( e21 != h2(e13)
| ~ spl0_21
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f2801,f5109]) ).
fof(f5111,plain,
( e21 != e21
| ~ spl0_85
| ~ spl0_21
| ~ spl0_252
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f4604,f5110]) ).
fof(f5112,plain,
( $false
| ~ spl0_85
| ~ spl0_21
| ~ spl0_252
| spl0_183 ),
inference(trivial_equality_resolution,[status(esa)],[f5111]) ).
fof(f5113,plain,
( ~ spl0_85
| ~ spl0_21
| ~ spl0_252
| spl0_183 ),
inference(contradiction_clause,[status(thm)],[f5112]) ).
fof(f5114,plain,
( h3(e10) != e20
| ~ spl0_16
| ~ spl0_80
| ~ spl0_252
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f711,f4177]) ).
fof(f5115,plain,
( e20 != e20
| ~ spl0_16
| ~ spl0_80
| ~ spl0_252
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1591,f5114]) ).
fof(f5116,plain,
( $false
| ~ spl0_16
| ~ spl0_80
| ~ spl0_252
| spl0_182 ),
inference(trivial_equality_resolution,[status(esa)],[f5115]) ).
fof(f5117,plain,
( ~ spl0_16
| ~ spl0_80
| ~ spl0_252
| spl0_182 ),
inference(contradiction_clause,[status(thm)],[f5116]) ).
fof(f5139,plain,
( ~ spl0_79
| ~ spl0_26
| ~ spl0_265
| ~ spl0_222
| spl0_207 ),
inference(split_clause,[status(thm)],[f4485,f946,f742,f1642,f1454,f1407]) ).
fof(f5140,plain,
( spl0_71
| ~ spl0_252
| ~ spl0_200
| ~ spl0_7
| ~ spl0_179 ),
inference(split_clause,[status(thm)],[f5099,f920,f1590,f1385,f680,f1319]) ).
fof(f5146,plain,
( spl0_72
| ~ spl0_262
| ~ spl0_252
| ~ spl0_8
| ~ spl0_180 ),
inference(split_clause,[status(thm)],[f5090,f924,f1630,f1590,f684,f1322]) ).
fof(f5155,plain,
( ~ spl0_69
| ~ spl0_16
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| spl0_205 ),
inference(split_clause,[status(thm)],[f4497,f914,f710,f1682,f1083,f1642,f1401]) ).
fof(f5158,plain,
( ~ spl0_93
| ~ spl0_275
| ~ spl0_121
| ~ spl0_8
| ~ spl0_222
| spl0_203 ),
inference(split_clause,[status(thm)],[f4571,f992,f1682,f1083,f684,f1454,f1395]) ).
fof(f5162,plain,
( ~ spl0_87
| ~ spl0_275
| ~ spl0_121
| ~ spl0_222
| ~ spl0_2
| spl0_201 ),
inference(split_clause,[status(thm)],[f4579,f972,f1682,f1083,f1454,f664,f1389]) ).
fof(f5167,plain,
( ~ spl0_74
| ~ spl0_265
| ~ spl0_275
| ~ spl0_31
| spl0_208 ),
inference(split_clause,[status(thm)],[f5024,f930,f1642,f1682,f758,f1410]) ).
fof(f5175,plain,
( ~ spl0_82
| ~ spl0_265
| ~ spl0_121
| ~ spl0_275
| ~ spl0_7
| spl0_202 ),
inference(split_clause,[status(thm)],[f5051,f956,f1642,f1083,f1682,f680,f1392]) ).
fof(f5183,plain,
( ~ spl0_88
| ~ spl0_275
| ~ spl0_121
| ~ spl0_265
| ~ spl0_13
| spl0_204 ),
inference(split_clause,[status(thm)],[f5060,f976,f1682,f1083,f1642,f700,f1398]) ).
fof(f5189,plain,
( ~ spl0_231
| ~ spl0_265
| ~ spl0_21
| spl0_206 ),
inference(split_clause,[status(thm)],[f4545,f1506,f1642,f726,f1404]) ).
fof(f5190,plain,
( e10 = e13
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f828,f837]) ).
fof(f5191,plain,
( $false
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f5190,f214]) ).
fof(f5192,plain,
( ~ spl0_52
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f5191]) ).
fof(f5197,plain,
( e12 = e13
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f665,f668]) ).
fof(f5198,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f5197,f217]) ).
fof(f5199,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f5198]) ).
fof(f5200,plain,
$false,
inference(sat_refutation,[status(thm)],[f709,f722,f735,f761,f774,f826,f839,f852,f865,f867,f868,f871,f872,f873,f874,f875,f877,f878,f880,f883,f885,f886,f887,f893,f895,f896,f897,f923,f936,f949,f975,f988,f1001,f1014,f1079,f1092,f1105,f1106,f1107,f1110,f1111,f1112,f1113,f1114,f1115,f1116,f1117,f1118,f1120,f1121,f1122,f1123,f1125,f1126,f1127,f1130,f1132,f1133,f1134,f1135,f1136,f1137,f1141,f1145,f1152,f1157,f1158,f1161,f1168,f1388,f1457,f1465,f1473,f1481,f1489,f1505,f1541,f1569,f1593,f1613,f1633,f1645,f1657,f1669,f1685,f1689,f1691,f1697,f1698,f1701,f1705,f1707,f1709,f1713,f1714,f1717,f1721,f1722,f1726,f1728,f1734,f1735,f1739,f1741,f1747,f1755,f1763,f1771,f1781,f1789,f1791,f1795,f1803,f1811,f1813,f1819,f1823,f1827,f1835,f1843,f1845,f1851,f1853,f1859,f1867,f1868,f1875,f1883,f1884,f1887,f1891,f1892,f1899,f1900,f1907,f1909,f1915,f1917,f1920,f1921,f1925,f1926,f1965,f1974,f1984,f1994,f1996,f2006,f2015,f2019,f2030,f2034,f2042,f2049,f2053,f2056,f2059,f2063,f2071,f2074,f2077,f2081,f2086,f2090,f2093,f2101,f2105,f2109,f2115,f2122,f2150,f2154,f2185,f2216,f2220,f2227,f2234,f2237,f2245,f2254,f2257,f2260,f2266,f2278,f2284,f2287,f2293,f2297,f2300,f2308,f2314,f2318,f2324,f2326,f2347,f2351,f2405,f2438,f2446,f2487,f2489,f2490,f2493,f2499,f2509,f2512,f2515,f2517,f2519,f2522,f2526,f2527,f2532,f2535,f2537,f2540,f2541,f2545,f2548,f2550,f2554,f2560,f2564,f2569,f2570,f2588,f2589,f2593,f2596,f2599,f2602,f2605,f2608,f2610,f2620,f2635,f2640,f2645,f2664,f2677,f2679,f2681,f2682,f2687,f2703,f2717,f2742,f2748,f2750,f2753,f2754,f2758,f2763,f2776,f2780,f2785,f2788,f2789,f2803,f2805,f2812,f2814,f2824,f2826,f2829,f2835,f2837,f2854,f2857,f2858,f2861,f2866,f2872,f2873,f2876,f2893,f2897,f2905,f2908,f2911,f2938,f2955,f2958,f2959,f2960,f2964,f2967,f2968,f2969,f2970,f2974,f2978,f2980,f2983,f2990,f2991,f2996,f2997,f2998,f3004,f3005,f3007,f3008,f3018,f3020,f3021,f3024,f3026,f3032,f3037,f3039,f3046,f3048,f3061,f3100,f3108,f3112,f3145,f3148,f3164,f3178,f3179,f3180,f3183,f3185,f3195,f3212,f3226,f3261,f3268,f3284,f3296,f3300,f3301,f3302,f3313,f3380,f3382,f3412,f3439,f3449,f3459,f3471,f3473,f3475,f3529,f3541,f3543,f3558,f3560,f3570,f3577,f3578,f3582,f3592,f3605,f3606,f3613,f3617,f3623,f3697,f3730,f3751,f3760,f3776,f3799,f3806,f3813,f3822,f3835,f3908,f3939,f3963,f3975,f3976,f3983,f3990,f4015,f4030,f4038,f4050,f4051,f4062,f4065,f4080,f4082,f4083,f4238,f4241,f4254,f4287,f4296,f4304,f4327,f4335,f4338,f4444,f4506,f4511,f4566,f4768,f4925,f4949,f4991,f4999,f5010,f5032,f5036,f5066,f5086,f5095,f5104,f5113,f5117,f5139,f5140,f5146,f5155,f5158,f5162,f5167,f5175,f5183,f5189,f5192,f5199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ALG127+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:29:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 6.03/1.18 % Refutation found
% 6.03/1.18 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.03/1.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.42/1.23 % Elapsed time: 0.871560 seconds
% 6.42/1.23 % CPU time: 6.482570 seconds
% 6.42/1.23 % Total memory used: 71.748 MB
% 6.42/1.23 % Net memory used: 69.706 MB
%------------------------------------------------------------------------------