TSTP Solution File: ALG108+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 20:09:51 EDT 2024
% Result : Theorem 9.74s 1.59s
% Output : CNFRefutation 9.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 322
% Syntax : Number of formulae : 2271 ( 233 unt; 0 def)
% Number of atoms : 9887 (6075 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 13119 (5503 ~;4089 |;3222 &)
% ( 263 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 307 ( 305 usr; 306 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(op1(e10,e10),e10) = op1(e10,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e13,e10),e13) = op1(e13,e10) )
& ( op1(op1(e10,e11),e10) = op1(e10,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e13,e11),e13) = op1(e13,e11) )
& ( op1(op1(e10,e12),e10) = op1(e10,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e13,e12),e13) = op1(e13,e12) )
& ( op1(op1(e10,e13),e10) = op1(e10,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e13,e13),e13) = op1(e13,e13) )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e13,e13) = e11
& op1(e13,e11) = e13
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(op2(e20,e20),e20) = op2(e20,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e23,e20),e23) = op2(e23,e20) )
& ( op2(op2(e20,e21),e20) = op2(e20,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e23,e21),e23) = op2(e23,e21) )
& ( op2(op2(e20,e22),e20) = op2(e20,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e23,e22),e23) = op2(e23,e22) )
& ( op2(op2(e20,e23),e20) = op2(e20,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e23,e23),e23) = op2(e23,e23) )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e23,e23) = e21
& op2(e23,e21) = e23
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e13,e13)
& e11 = op1(op1(e13,e13),op1(e13,e13))
& e12 = op1(op1(e13,e13),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e23,e23)
& e21 = op2(op2(e23,e23),op2(e23,e23))
& e22 = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(e20,e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e12) = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(e21,e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e12) = op2(op2(e21,e21),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(e22,e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e12) = op2(op2(e22,e22),e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(e23,e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e12) = op2(op2(e23,e23),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = 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(f29,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(f36,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(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(f46,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
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(f49,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = 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(f51,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f54,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
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(f62,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f64,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f68,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = 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(f77,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,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(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(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(f95,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f97,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f102,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
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(f106,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(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(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
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(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,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(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
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(f147,plain,
op1(e11,e10) != op1(e11,e12),
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(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(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(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f169,plain,
op2(e22,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(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f179,plain,
op2(e21,e22) != op2(e22,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(f183,plain,
op2(e20,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(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(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(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
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(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e13,e13) = e11
& op1(e13,e11) = e13
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( ( op1(op1(e10,e10),e10) = op1(e10,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e13,e10),e13) = op1(e13,e10) )
& ( op1(op1(e10,e11),e10) = op1(e10,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e13,e11),e13) = op1(e13,e11) )
& ( op1(op1(e10,e12),e10) = op1(e10,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e13,e12),e13) = op1(e13,e12) )
& ( op1(op1(e10,e13),e10) = op1(e10,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e13,e13),e13) = op1(e13,e13) )
& ( pd0_0
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( op1(op1(e10,e10),e10) = op1(e10,e10)
| op1(op1(e11,e10),e11) = op1(e11,e10)
| op1(op1(e12,e10),e12) = op1(e12,e10)
| op1(op1(e13,e10),e13) = op1(e13,e10) ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f243,plain,
( op1(op1(e10,e11),e10) = op1(e10,e11)
| op1(op1(e11,e11),e11) = op1(e11,e11)
| op1(op1(e12,e11),e12) = op1(e12,e11)
| op1(op1(e13,e11),e13) = op1(e13,e11) ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f244,plain,
( op1(op1(e10,e12),e10) = op1(e10,e12)
| op1(op1(e11,e12),e11) = op1(e11,e12)
| op1(op1(e12,e12),e12) = op1(e12,e12)
| op1(op1(e13,e12),e13) = op1(e13,e12) ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f245,plain,
( op1(op1(e10,e13),e10) = op1(e10,e13)
| op1(op1(e11,e13),e11) = op1(e11,e13)
| op1(op1(e12,e13),e12) = op1(e12,e13)
| op1(op1(e13,e13),e13) = op1(e13,e13) ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f246,plain,
( pd0_0
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f252,plain,
( pd0_1
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e23,e23) = e21
& op2(e23,e21) = e23
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f253,plain,
( ( op2(op2(e20,e20),e20) = op2(e20,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e23,e20),e23) = op2(e23,e20) )
& ( op2(op2(e20,e21),e20) = op2(e20,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e23,e21),e23) = op2(e23,e21) )
& ( op2(op2(e20,e22),e20) = op2(e20,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e23,e22),e23) = op2(e23,e22) )
& ( op2(op2(e20,e23),e20) = op2(e20,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e23,e23),e23) = op2(e23,e23) )
& ( pd0_1
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f11,f252]) ).
fof(f254,plain,
( op2(op2(e20,e20),e20) = op2(e20,e20)
| op2(op2(e21,e20),e21) = op2(e21,e20)
| op2(op2(e22,e20),e22) = op2(e22,e20)
| op2(op2(e23,e20),e23) = op2(e23,e20) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f255,plain,
( op2(op2(e20,e21),e20) = op2(e20,e21)
| op2(op2(e21,e21),e21) = op2(e21,e21)
| op2(op2(e22,e21),e22) = op2(e22,e21)
| op2(op2(e23,e21),e23) = op2(e23,e21) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f256,plain,
( op2(op2(e20,e22),e20) = op2(e20,e22)
| op2(op2(e21,e22),e21) = op2(e21,e22)
| op2(op2(e22,e22),e22) = op2(e22,e22)
| op2(op2(e23,e22),e23) = op2(e23,e22) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f257,plain,
( op2(op2(e20,e23),e20) = op2(e20,e23)
| op2(op2(e21,e23),e21) = op2(e21,e23)
| op2(op2(e22,e23),e22) = op2(e22,e23)
| op2(op2(e23,e23),e23) = op2(e23,e23) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f258,plain,
( pd0_1
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f264,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f265,plain,
e11 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f266,plain,
e12 = op1(op1(e13,e13),e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f267,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f268,plain,
e21 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f269,plain,
e22 = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f270,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f271,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f272,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f273,plain,
h1(e12) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f274,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f275,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f276,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f277,plain,
h2(e12) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f278,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f279,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f280,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f281,plain,
h3(e12) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f282,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f283,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f284,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f285,plain,
h4(e12) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f286,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(f287,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f288,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f289,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f290,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f291,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f292,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f293,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f294,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f295,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f296,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f297,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f298,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f299,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_2
| pd0_3
| pd0_4
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f286,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287]) ).
fof(f315,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_11
| pd0_12
| pd0_13
| h4(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f299]) ).
fof(f316,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e13,e13) = e11
& op1(e13,e11) = e13
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f317,plain,
( pd0_14
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e13,e13) = e11
& op1(e13,e11) = e13
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ) ),
introduced(predicate_definition,[f316]) ).
fof(f318,plain,
( ~ pd0_0
| pd0_14
| ( op1(e13,e13) = e12
& op1(e13,e12) = e13
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f316,f317]) ).
fof(f319,plain,
( ~ pd0_0
| pd0_14
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f325,plain,
( ~ pd0_1
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e23,e23) = e21
& op2(e23,e21) = e23
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f252]) ).
fof(f326,plain,
( pd0_15
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e23,e23) = e21
& op2(e23,e21) = e23
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ) ),
introduced(predicate_definition,[f325]) ).
fof(f327,plain,
( ~ pd0_1
| pd0_15
| ( op2(e23,e23) = e22
& op2(e23,e22) = e23
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f325,f326]) ).
fof(f328,plain,
( ~ pd0_1
| pd0_15
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f327]) ).
fof(f334,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f287]) ).
fof(f338,plain,
( ~ pd0_2
| h1(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f339,plain,
( ~ pd0_3
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f288]) ).
fof(f340,plain,
( ~ pd0_3
| h1(e10) != e21 ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f344,plain,
( ~ pd0_4
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f289]) ).
fof(f347,plain,
( ~ pd0_4
| h1(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f344]) ).
fof(f354,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f358,plain,
( ~ pd0_6
| h2(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f354]) ).
fof(f364,plain,
( ~ pd0_8
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f293]) ).
fof(f365,plain,
( ~ pd0_8
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f369,plain,
( ~ pd0_9
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f294]) ).
fof(f371,plain,
( ~ pd0_9
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f374,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f295]) ).
fof(f378,plain,
( ~ pd0_10
| h3(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f379,plain,
( ~ pd0_11
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f296]) ).
fof(f380,plain,
( ~ pd0_11
| h4(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f379]) ).
fof(f384,plain,
( ~ pd0_12
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f386,plain,
( ~ pd0_12
| h4(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f384]) ).
fof(f389,plain,
( ~ pd0_13
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f298]) ).
fof(f392,plain,
( ~ pd0_13
| h4(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f389]) ).
fof(f394,plain,
( ~ pd0_14
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e13,e13) = e11
& op1(e13,e11) = e13
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f317]) ).
fof(f395,plain,
( pd0_16
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ) ),
introduced(predicate_definition,[f394]) ).
fof(f396,plain,
( ~ pd0_14
| pd0_16
| ( op1(e13,e13) = e11
& op1(e13,e11) = e13
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f394,f395]) ).
fof(f397,plain,
( ~ pd0_14
| pd0_16
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f396]) ).
fof(f403,plain,
( ~ pd0_15
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e23,e23) = e21
& op2(e23,e21) = e23
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f326]) ).
fof(f404,plain,
( pd0_17
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ) ),
introduced(predicate_definition,[f403]) ).
fof(f405,plain,
( ~ pd0_15
| pd0_17
| ( op2(e23,e23) = e21
& op2(e23,e21) = e23
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f403,f404]) ).
fof(f406,plain,
( ~ pd0_15
| pd0_17
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f412,plain,
( ~ pd0_16
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f395]) ).
fof(f413,plain,
( pd0_18
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ) ),
introduced(predicate_definition,[f412]) ).
fof(f414,plain,
( ~ pd0_16
| pd0_18
| ( op1(e13,e13) = e10
& op1(e13,e10) = e13
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f412,f413]) ).
fof(f416,plain,
( ~ pd0_16
| pd0_18
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f414]) ).
fof(f421,plain,
( ~ pd0_17
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f404]) ).
fof(f422,plain,
( pd0_19
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ) ),
introduced(predicate_definition,[f421]) ).
fof(f423,plain,
( ~ pd0_17
| pd0_19
| ( op2(e23,e23) = e20
& op2(e23,e20) = e23
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f421,f422]) ).
fof(f425,plain,
( ~ pd0_17
| pd0_19
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f430,plain,
( ~ pd0_18
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f413]) ).
fof(f431,plain,
( pd0_20
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ) ),
introduced(predicate_definition,[f430]) ).
fof(f432,plain,
( ~ pd0_18
| pd0_20
| ( op1(e12,e12) = e13
& op1(e12,e13) = e12
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f430,f431]) ).
fof(f433,plain,
( ~ pd0_18
| pd0_20
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f434,plain,
( ~ pd0_18
| pd0_20
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f439,plain,
( ~ pd0_19
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f422]) ).
fof(f440,plain,
( pd0_21
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ) ),
introduced(predicate_definition,[f439]) ).
fof(f441,plain,
( ~ pd0_19
| pd0_21
| ( op2(e22,e22) = e23
& op2(e22,e23) = e22
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f439,f440]) ).
fof(f442,plain,
( ~ pd0_19
| pd0_21
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f443,plain,
( ~ pd0_19
| pd0_21
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f445,plain,
( ~ pd0_19
| pd0_21
| op2(e23,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f448,plain,
( ~ pd0_20
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f431]) ).
fof(f449,plain,
( pd0_22
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ) ),
introduced(predicate_definition,[f448]) ).
fof(f450,plain,
( ~ pd0_20
| pd0_22
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f448,f449]) ).
fof(f451,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f455,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f456,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f457,plain,
( ~ pd0_21
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f440]) ).
fof(f458,plain,
( pd0_23
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ) ),
introduced(predicate_definition,[f457]) ).
fof(f459,plain,
( ~ pd0_21
| pd0_23
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f457,f458]) ).
fof(f460,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f462,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f463,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f464,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f466,plain,
( ~ pd0_22
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f449]) ).
fof(f467,plain,
( pd0_24
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ) ),
introduced(predicate_definition,[f466]) ).
fof(f468,plain,
( ~ pd0_22
| pd0_24
| ( op1(e12,e12) = e11
& op1(e12,e11) = e12
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f466,f467]) ).
fof(f469,plain,
( ~ pd0_22
| pd0_24
| op1(e12,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f468]) ).
fof(f470,plain,
( ~ pd0_22
| pd0_24
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f468]) ).
fof(f473,plain,
( ~ pd0_22
| pd0_24
| op1(e11,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f468]) ).
fof(f475,plain,
( ~ pd0_23
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f458]) ).
fof(f476,plain,
( pd0_25
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ) ),
introduced(predicate_definition,[f475]) ).
fof(f477,plain,
( ~ pd0_23
| pd0_25
| ( op2(e22,e22) = e21
& op2(e22,e21) = e22
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f475,f476]) ).
fof(f478,plain,
( ~ pd0_23
| pd0_25
| op2(e22,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f482,plain,
( ~ pd0_23
| pd0_25
| op2(e21,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f483,plain,
( ~ pd0_23
| pd0_25
| op2(e21,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f484,plain,
( ~ pd0_24
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f467]) ).
fof(f485,plain,
( pd0_26
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ) ),
introduced(predicate_definition,[f484]) ).
fof(f486,plain,
( ~ pd0_24
| pd0_26
| ( op1(e12,e12) = e10
& op1(e12,e10) = e12
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f484,f485]) ).
fof(f487,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f488,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f493,plain,
( ~ pd0_25
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f476]) ).
fof(f494,plain,
( pd0_27
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ) ),
introduced(predicate_definition,[f493]) ).
fof(f495,plain,
( ~ pd0_25
| pd0_27
| ( op2(e22,e22) = e20
& op2(e22,e20) = e22
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f493,f494]) ).
fof(f496,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f497,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f502,plain,
( ~ pd0_26
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f485]) ).
fof(f503,plain,
( pd0_28
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ) ),
introduced(predicate_definition,[f502]) ).
fof(f504,plain,
( ~ pd0_26
| pd0_28
| ( op1(e11,e11) = e13
& op1(e11,e13) = e11
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f502,f503]) ).
fof(f505,plain,
( ~ pd0_26
| pd0_28
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f504]) ).
fof(f506,plain,
( ~ pd0_26
| pd0_28
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f504]) ).
fof(f508,plain,
( ~ pd0_26
| pd0_28
| op1(e13,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f504]) ).
fof(f511,plain,
( ~ pd0_27
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f494]) ).
fof(f512,plain,
( pd0_29
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ) ),
introduced(predicate_definition,[f511]) ).
fof(f513,plain,
( ~ pd0_27
| pd0_29
| ( op2(e21,e21) = e23
& op2(e21,e23) = e21
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f511,f512]) ).
fof(f514,plain,
( ~ pd0_27
| pd0_29
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f515,plain,
( ~ pd0_27
| pd0_29
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f520,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f503]) ).
fof(f521,plain,
( pd0_30
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ) ),
introduced(predicate_definition,[f520]) ).
fof(f522,plain,
( ~ pd0_28
| pd0_30
| ( op1(e11,e11) = e12
& op1(e11,e12) = e11
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f520,f521]) ).
fof(f523,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f524,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f527,plain,
( ~ pd0_28
| pd0_30
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f528,plain,
( ~ pd0_28
| pd0_30
| op1(e12,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f529,plain,
( ~ pd0_29
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f512]) ).
fof(f530,plain,
( pd0_31
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ) ),
introduced(predicate_definition,[f529]) ).
fof(f531,plain,
( ~ pd0_29
| pd0_31
| ( op2(e21,e21) = e22
& op2(e21,e22) = e21
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f529,f530]) ).
fof(f532,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f533,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f535,plain,
( ~ pd0_29
| pd0_31
| op2(e22,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f536,plain,
( ~ pd0_29
| pd0_31
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f538,plain,
( ~ pd0_30
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f521]) ).
fof(f539,plain,
( pd0_32
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ) ),
introduced(predicate_definition,[f538]) ).
fof(f540,plain,
( ~ pd0_30
| pd0_32
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f538,f539]) ).
fof(f541,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f543,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f544,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f546,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f547,plain,
( ~ pd0_31
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f530]) ).
fof(f548,plain,
( pd0_33
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ) ),
introduced(predicate_definition,[f547]) ).
fof(f549,plain,
( ~ pd0_31
| pd0_33
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f547,f548]) ).
fof(f550,plain,
( ~ pd0_31
| pd0_33
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f554,plain,
( ~ pd0_31
| pd0_33
| op2(e21,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f555,plain,
( ~ pd0_31
| pd0_33
| op2(e21,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f556,plain,
( ~ pd0_32
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 )
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f539]) ).
fof(f557,plain,
( pd0_34
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ) ),
introduced(predicate_definition,[f556]) ).
fof(f558,plain,
( ~ pd0_32
| pd0_34
| ( op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f556,f557]) ).
fof(f560,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f558]) ).
fof(f565,plain,
( ~ pd0_33
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 )
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f548]) ).
fof(f566,plain,
( pd0_35
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ) ),
introduced(predicate_definition,[f565]) ).
fof(f567,plain,
( ~ pd0_33
| pd0_35
| ( op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f565,f566]) ).
fof(f568,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f567]) ).
fof(f569,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f567]) ).
fof(f574,plain,
( ~ pd0_34
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 )
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f557]) ).
fof(f575,plain,
( pd0_36
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ) ),
introduced(predicate_definition,[f574]) ).
fof(f576,plain,
( ~ pd0_34
| pd0_36
| ( op1(e10,e10) = e13
& op1(e10,e13) = e10
& op1(e13,e10) != e10
& op1(e13,e11) != e11
& op1(e13,e12) != e12
& op1(e13,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f574,f575]) ).
fof(f577,plain,
( ~ pd0_34
| pd0_36
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f583,plain,
( ~ pd0_35
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 )
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f566]) ).
fof(f584,plain,
( pd0_37
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ) ),
introduced(predicate_definition,[f583]) ).
fof(f585,plain,
( ~ pd0_35
| pd0_37
| ( op2(e20,e20) = e23
& op2(e20,e23) = e20
& op2(e23,e20) != e20
& op2(e23,e21) != e21
& op2(e23,e22) != e22
& op2(e23,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f583,f584]) ).
fof(f586,plain,
( ~ pd0_35
| pd0_37
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f585]) ).
fof(f592,plain,
( ~ pd0_36
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 )
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f575]) ).
fof(f593,plain,
( pd0_38
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ) ),
introduced(predicate_definition,[f592]) ).
fof(f594,plain,
( ~ pd0_36
| pd0_38
| ( op1(e10,e10) = e12
& op1(e10,e12) = e10
& op1(e12,e10) != e10
& op1(e12,e11) != e11
& op1(e12,e12) != e12
& op1(e12,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f592,f593]) ).
fof(f595,plain,
( ~ pd0_36
| pd0_38
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f601,plain,
( ~ pd0_37
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 )
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f584]) ).
fof(f602,plain,
( pd0_39
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ) ),
introduced(predicate_definition,[f601]) ).
fof(f603,plain,
( ~ pd0_37
| pd0_39
| ( op2(e20,e20) = e22
& op2(e20,e22) = e20
& op2(e22,e20) != e20
& op2(e22,e21) != e21
& op2(e22,e22) != e22
& op2(e22,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f601,f602]) ).
fof(f604,plain,
( ~ pd0_37
| pd0_39
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f610,plain,
( ~ pd0_38
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 )
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f593]) ).
fof(f611,plain,
( pd0_40
=> ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
introduced(predicate_definition,[f610]) ).
fof(f612,plain,
( ~ pd0_38
| pd0_40
| ( op1(e10,e10) = e11
& op1(e10,e11) = e10
& op1(e11,e10) != e10
& op1(e11,e11) != e11
& op1(e11,e12) != e12
& op1(e11,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f610,f611]) ).
fof(f614,plain,
( ~ pd0_38
| pd0_40
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f615,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f616,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f618,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f619,plain,
( ~ pd0_39
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 )
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f602]) ).
fof(f620,plain,
( pd0_41
=> ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
introduced(predicate_definition,[f619]) ).
fof(f621,plain,
( ~ pd0_39
| pd0_41
| ( op2(e20,e20) = e21
& op2(e20,e21) = e20
& op2(e21,e20) != e20
& op2(e21,e21) != e21
& op2(e21,e22) != e22
& op2(e21,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f619,f620]) ).
fof(f623,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f626,plain,
( ~ pd0_39
| pd0_41
| op2(e21,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f627,plain,
( ~ pd0_39
| pd0_41
| op2(e21,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f628,plain,
( ~ pd0_40
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e10,e11) != e11
& op1(e10,e12) != e12
& op1(e10,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f611]) ).
fof(f629,plain,
( ~ pd0_40
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f628]) ).
fof(f635,plain,
( ~ pd0_41
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e20,e21) != e21
& op2(e20,e22) != e22
& op2(e20,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f620]) ).
fof(f636,plain,
( ~ pd0_41
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f635]) ).
fof(f642,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f651,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f20,f642,f645,f648,f651]) ).
fof(f655,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f661,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f21,f655,f658,f661,f664]) ).
fof(f668,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f22,f668,f671,f674,f677]) ).
fof(f681,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f23,f681,f684,f687,f690]) ).
fof(f694,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f707,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f707,f710,f713,f716]) ).
fof(f720,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f26,f720,f723,f726,f729]) ).
fof(f733,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f733,f736,f739,f742]) ).
fof(f746,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f758,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f28,f746,f749,f752,f755]) ).
fof(f759,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f29,f759,f762,f765,f768]) ).
fof(f772,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f772,f775,f778,f781]) ).
fof(f785,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f793,plain,
( op1(e12,e13) != e12
| spl0_46 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f31,f785,f788,f791,f794]) ).
fof(f798,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f811,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f824,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f824,f827,f830,f833]) ).
fof(f837,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op1(e13,e13) = e11
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f837,f840,f843,f846]) ).
fof(f850,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f36,f642,f655,f668,f681]) ).
fof(f851,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f642,f694,f746,f798]) ).
fof(f855,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f648,f700,f752,f804]) ).
fof(f856,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f651,f664,f677,f690]) ).
fof(f857,plain,
( spl0_3
| spl0_19
| spl0_35
| spl0_51 ),
inference(split_clause,[status(thm)],[f43,f651,f703,f755,f807]) ).
fof(f858,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f694,f707,f720,f733]) ).
fof(f860,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f46,f697,f710,f723,f736]) ).
fof(f861,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f658,f710,f762,f814]) ).
fof(f862,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f48,f700,f713,f726,f739]) ).
fof(f863,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f49,f661,f713,f765,f817]) ).
fof(f864,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f50,f703,f716,f729,f742]) ).
fof(f865,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f664,f716,f768,f820]) ).
fof(f866,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f52,f746,f759,f772,f785]) ).
fof(f867,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f53,f668,f720,f772,f824]) ).
fof(f868,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f749,f762,f775,f788]) ).
fof(f869,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f671,f723,f775,f827]) ).
fof(f870,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f752,f765,f778,f791]) ).
fof(f871,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f674,f726,f778,f830]) ).
fof(f876,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f62,f801,f814,f827,f840]) ).
fof(f877,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f63,f684,f736,f788,f840]) ).
fof(f878,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f64,f804,f817,f830,f843]) ).
fof(f880,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f66,f807,f820,f833,f846]) ).
fof(f881,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f690,f742,f794,f846]) ).
fof(f882,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f883,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f889,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f68,f882,f885,f888,f891]) ).
fof(f895,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f896,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f901,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f902,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f908,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f914,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f915,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f918,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f908,f911,f914,f917]) ).
fof(f921,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f922,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f925,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f929,plain,
( op2(e20,e23) != e22
| spl0_78 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f931,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f934,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f944,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f945,plain,
( op2(e21,e20) != e23
| spl0_83 ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f72,f934,f937,f940,f943]) ).
fof(f947,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f948,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f950,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f951,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f954,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f957,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87 ),
inference(split_clause,[status(thm)],[f73,f947,f950,f953,f956]) ).
fof(f960,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f972,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f960,f963,f966,f969]) ).
fof(f973,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f973,f976,f979,f982]) ).
fof(f986,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f987,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f993,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f998,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f76,f986,f989,f992,f995]) ).
fof(f999,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1006,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1009,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f77,f999,f1002,f1005,f1008]) ).
fof(f1012,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1013,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1025,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1026,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1029,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1032,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1035,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1038,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1042,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1047,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1048,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f1038,f1041,f1044,f1047]) ).
fof(f1051,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1052,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1055,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1058,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f1057]) ).
fof(f1060,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1061,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f1051,f1054,f1057,f1060]) ).
fof(f1064,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1071,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1074,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1076,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123 ),
inference(split_clause,[status(thm)],[f82,f1064,f1067,f1070,f1073]) ).
fof(f1077,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1078,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1079,plain,
( op2(e23,e23) != e20
| spl0_124 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1081,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1084,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1087,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1090,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f882,f895,f908,f921]) ).
fof(f1091,plain,
( spl0_64
| spl0_80
| spl0_96
| spl0_112 ),
inference(split_clause,[status(thm)],[f85,f882,f934,f986,f1038]) ).
fof(f1096,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f891,f904,f917,f930]) ).
fof(f1097,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f891,f943,f995,f1047]) ).
fof(f1098,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f934,f947,f960,f973]) ).
fof(f1101,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f898,f950,f1002,f1054]) ).
fof(f1102,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f940,f953,f966,f979]) ).
fof(f1103,plain,
( spl0_70
| spl0_86
| spl0_102
| spl0_118 ),
inference(split_clause,[status(thm)],[f97,f901,f953,f1005,f1057]) ).
fof(f1106,plain,
( spl0_96
| spl0_100
| spl0_104
| spl0_108 ),
inference(split_clause,[status(thm)],[f100,f986,f999,f1012,f1025]) ).
fof(f1108,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f102,f989,f1002,f1015,f1028]) ).
fof(f1109,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f103,f911,f963,f1015,f1067]) ).
fof(f1110,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f992,f1005,f1018,f1031]) ).
fof(f1111,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f914,f966,f1018,f1070]) ).
fof(f1112,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f995,f1008,f1021,f1034]) ).
fof(f1117,plain,
( spl0_77
| spl0_93
| spl0_109
| spl0_125 ),
inference(split_clause,[status(thm)],[f111,f924,f976,f1028,f1080]) ).
fof(f1120,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f1047,f1060,f1073,f1086]) ).
fof(f1121,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f930,f982,f1034,f1086]) ).
fof(f1122,plain,
( spl0_128
<=> op1(op1(e10,e10),e10) = op1(e10,e10) ),
introduced(split_symbol_definition) ).
fof(f1123,plain,
( op1(op1(e10,e10),e10) = op1(e10,e10)
| ~ spl0_128 ),
inference(component_clause,[status(thm)],[f1122]) ).
fof(f1125,plain,
( spl0_129
<=> op1(op1(e11,e10),e11) = op1(e11,e10) ),
introduced(split_symbol_definition) ).
fof(f1126,plain,
( op1(op1(e11,e10),e11) = op1(e11,e10)
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1127,plain,
( op1(op1(e11,e10),e11) != op1(e11,e10)
| spl0_129 ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,plain,
( spl0_130
<=> op1(op1(e12,e10),e12) = op1(e12,e10) ),
introduced(split_symbol_definition) ).
fof(f1129,plain,
( op1(op1(e12,e10),e12) = op1(e12,e10)
| ~ spl0_130 ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,plain,
( spl0_131
<=> op1(op1(e13,e10),e13) = op1(e13,e10) ),
introduced(split_symbol_definition) ).
fof(f1132,plain,
( op1(op1(e13,e10),e13) = op1(e13,e10)
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1134,plain,
( spl0_128
| spl0_129
| spl0_130
| spl0_131 ),
inference(split_clause,[status(thm)],[f242,f1122,f1125,f1128,f1131]) ).
fof(f1135,plain,
( spl0_132
<=> op1(op1(e10,e11),e10) = op1(e10,e11) ),
introduced(split_symbol_definition) ).
fof(f1136,plain,
( op1(op1(e10,e11),e10) = op1(e10,e11)
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( spl0_133
<=> op1(op1(e11,e11),e11) = op1(e11,e11) ),
introduced(split_symbol_definition) ).
fof(f1139,plain,
( op1(op1(e11,e11),e11) = op1(e11,e11)
| ~ spl0_133 ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1140,plain,
( op1(op1(e11,e11),e11) != op1(e11,e11)
| spl0_133 ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,plain,
( spl0_134
<=> op1(op1(e12,e11),e12) = op1(e12,e11) ),
introduced(split_symbol_definition) ).
fof(f1142,plain,
( op1(op1(e12,e11),e12) = op1(e12,e11)
| ~ spl0_134 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1143,plain,
( op1(op1(e12,e11),e12) != op1(e12,e11)
| spl0_134 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( spl0_135
<=> op1(op1(e13,e11),e13) = op1(e13,e11) ),
introduced(split_symbol_definition) ).
fof(f1145,plain,
( op1(op1(e13,e11),e13) = op1(e13,e11)
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,plain,
( spl0_132
| spl0_133
| spl0_134
| spl0_135 ),
inference(split_clause,[status(thm)],[f243,f1135,f1138,f1141,f1144]) ).
fof(f1148,plain,
( spl0_136
<=> op1(op1(e10,e12),e10) = op1(e10,e12) ),
introduced(split_symbol_definition) ).
fof(f1149,plain,
( op1(op1(e10,e12),e10) = op1(e10,e12)
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( spl0_137
<=> op1(op1(e11,e12),e11) = op1(e11,e12) ),
introduced(split_symbol_definition) ).
fof(f1152,plain,
( op1(op1(e11,e12),e11) = op1(e11,e12)
| ~ spl0_137 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( spl0_138
<=> op1(op1(e12,e12),e12) = op1(e12,e12) ),
introduced(split_symbol_definition) ).
fof(f1155,plain,
( op1(op1(e12,e12),e12) = op1(e12,e12)
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( spl0_139
<=> op1(op1(e13,e12),e13) = op1(e13,e12) ),
introduced(split_symbol_definition) ).
fof(f1158,plain,
( op1(op1(e13,e12),e13) = op1(e13,e12)
| ~ spl0_139 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1159,plain,
( op1(op1(e13,e12),e13) != op1(e13,e12)
| spl0_139 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( spl0_136
| spl0_137
| spl0_138
| spl0_139 ),
inference(split_clause,[status(thm)],[f244,f1148,f1151,f1154,f1157]) ).
fof(f1161,plain,
( spl0_140
<=> op1(op1(e10,e13),e10) = op1(e10,e13) ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( op1(op1(e10,e13),e10) = op1(e10,e13)
| ~ spl0_140 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1163,plain,
( op1(op1(e10,e13),e10) != op1(e10,e13)
| spl0_140 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( spl0_141
<=> op1(op1(e11,e13),e11) = op1(e11,e13) ),
introduced(split_symbol_definition) ).
fof(f1165,plain,
( op1(op1(e11,e13),e11) = op1(e11,e13)
| ~ spl0_141 ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( spl0_142
<=> op1(op1(e12,e13),e12) = op1(e12,e13) ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( op1(op1(e12,e13),e12) = op1(e12,e13)
| ~ spl0_142 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1169,plain,
( op1(op1(e12,e13),e12) != op1(e12,e13)
| spl0_142 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,plain,
( spl0_143
<=> op1(op1(e13,e13),e13) = op1(e13,e13) ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( op1(op1(e13,e13),e13) = op1(e13,e13)
| ~ spl0_143 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( spl0_140
| spl0_141
| spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f245,f1161,f1164,f1167,f1170]) ).
fof(f1174,plain,
( spl0_144
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1177,plain,
( spl0_144
| spl0_63 ),
inference(split_clause,[status(thm)],[f246,f1174,f846]) ).
fof(f1183,plain,
( spl0_145
<=> op2(op2(e20,e20),e20) = op2(e20,e20) ),
introduced(split_symbol_definition) ).
fof(f1184,plain,
( op2(op2(e20,e20),e20) = op2(e20,e20)
| ~ spl0_145 ),
inference(component_clause,[status(thm)],[f1183]) ).
fof(f1186,plain,
( spl0_146
<=> op2(op2(e21,e20),e21) = op2(e21,e20) ),
introduced(split_symbol_definition) ).
fof(f1187,plain,
( op2(op2(e21,e20),e21) = op2(e21,e20)
| ~ spl0_146 ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( spl0_147
<=> op2(op2(e22,e20),e22) = op2(e22,e20) ),
introduced(split_symbol_definition) ).
fof(f1190,plain,
( op2(op2(e22,e20),e22) = op2(e22,e20)
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( spl0_148
<=> op2(op2(e23,e20),e23) = op2(e23,e20) ),
introduced(split_symbol_definition) ).
fof(f1193,plain,
( op2(op2(e23,e20),e23) = op2(e23,e20)
| ~ spl0_148 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,plain,
( spl0_145
| spl0_146
| spl0_147
| spl0_148 ),
inference(split_clause,[status(thm)],[f254,f1183,f1186,f1189,f1192]) ).
fof(f1196,plain,
( spl0_149
<=> op2(op2(e20,e21),e20) = op2(e20,e21) ),
introduced(split_symbol_definition) ).
fof(f1197,plain,
( op2(op2(e20,e21),e20) = op2(e20,e21)
| ~ spl0_149 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( spl0_150
<=> op2(op2(e21,e21),e21) = op2(e21,e21) ),
introduced(split_symbol_definition) ).
fof(f1200,plain,
( op2(op2(e21,e21),e21) = op2(e21,e21)
| ~ spl0_150 ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,plain,
( spl0_151
<=> op2(op2(e22,e21),e22) = op2(e22,e21) ),
introduced(split_symbol_definition) ).
fof(f1203,plain,
( op2(op2(e22,e21),e22) = op2(e22,e21)
| ~ spl0_151 ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1205,plain,
( spl0_152
<=> op2(op2(e23,e21),e23) = op2(e23,e21) ),
introduced(split_symbol_definition) ).
fof(f1206,plain,
( op2(op2(e23,e21),e23) = op2(e23,e21)
| ~ spl0_152 ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( spl0_149
| spl0_150
| spl0_151
| spl0_152 ),
inference(split_clause,[status(thm)],[f255,f1196,f1199,f1202,f1205]) ).
fof(f1209,plain,
( spl0_153
<=> op2(op2(e20,e22),e20) = op2(e20,e22) ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( op2(op2(e20,e22),e20) = op2(e20,e22)
| ~ spl0_153 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1211,plain,
( op2(op2(e20,e22),e20) != op2(e20,e22)
| spl0_153 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( spl0_154
<=> op2(op2(e21,e22),e21) = op2(e21,e22) ),
introduced(split_symbol_definition) ).
fof(f1213,plain,
( op2(op2(e21,e22),e21) = op2(e21,e22)
| ~ spl0_154 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( spl0_155
<=> op2(op2(e22,e22),e22) = op2(e22,e22) ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( op2(op2(e22,e22),e22) = op2(e22,e22)
| ~ spl0_155 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( spl0_156
<=> op2(op2(e23,e22),e23) = op2(e23,e22) ),
introduced(split_symbol_definition) ).
fof(f1219,plain,
( op2(op2(e23,e22),e23) = op2(e23,e22)
| ~ spl0_156 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,plain,
( spl0_153
| spl0_154
| spl0_155
| spl0_156 ),
inference(split_clause,[status(thm)],[f256,f1209,f1212,f1215,f1218]) ).
fof(f1222,plain,
( spl0_157
<=> op2(op2(e20,e23),e20) = op2(e20,e23) ),
introduced(split_symbol_definition) ).
fof(f1223,plain,
( op2(op2(e20,e23),e20) = op2(e20,e23)
| ~ spl0_157 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1224,plain,
( op2(op2(e20,e23),e20) != op2(e20,e23)
| spl0_157 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( spl0_158
<=> op2(op2(e21,e23),e21) = op2(e21,e23) ),
introduced(split_symbol_definition) ).
fof(f1226,plain,
( op2(op2(e21,e23),e21) = op2(e21,e23)
| ~ spl0_158 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( spl0_159
<=> op2(op2(e22,e23),e22) = op2(e22,e23) ),
introduced(split_symbol_definition) ).
fof(f1229,plain,
( op2(op2(e22,e23),e22) = op2(e22,e23)
| ~ spl0_159 ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1231,plain,
( spl0_160
<=> op2(op2(e23,e23),e23) = op2(e23,e23) ),
introduced(split_symbol_definition) ).
fof(f1232,plain,
( op2(op2(e23,e23),e23) = op2(e23,e23)
| ~ spl0_160 ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,plain,
( spl0_157
| spl0_158
| spl0_159
| spl0_160 ),
inference(split_clause,[status(thm)],[f257,f1222,f1225,f1228,f1231]) ).
fof(f1235,plain,
( spl0_161
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1238,plain,
( spl0_161
| spl0_127 ),
inference(split_clause,[status(thm)],[f258,f1235,f1086]) ).
fof(f1244,plain,
( spl0_162
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1246,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1250,plain,
( spl0_164
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1251,plain,
( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
| ~ spl0_164 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1252,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,plain,
( spl0_165
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1255,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1262,plain,
( spl0_168
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1264,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1268,plain,
( spl0_170
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1269,plain,
( h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
| ~ spl0_170 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1270,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1274,plain,
( spl0_172
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1275,plain,
( h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
| ~ spl0_172 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1276,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_172 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1280,plain,
( spl0_174
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1281,plain,
( h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
| ~ spl0_174 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1282,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1289,plain,
( spl0_177
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1291,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_177 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,plain,
( spl0_178
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1295,plain,
( spl0_179
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1298,plain,
( spl0_180
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1305,plain,
( spl0_182
<=> h1(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1306,plain,
( h1(e11) = e23
| ~ spl0_182 ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1307,plain,
( h1(e11) != e23
| spl0_182 ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1309,plain,
( spl0_183
<=> h1(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1311,plain,
( h1(e12) != e23
| spl0_183 ),
inference(component_clause,[status(thm)],[f1309]) ).
fof(f1317,plain,
( spl0_185
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1318,plain,
( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
| ~ spl0_185 ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1356,plain,
( spl0_198
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1357,plain,
( h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
| ~ spl0_198 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1358,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1362,plain,
( spl0_200
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1364,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_200 ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1368,plain,
( spl0_202
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1374,plain,
( spl0_204
<=> h2(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1375,plain,
( h2(e10) = e23
| ~ spl0_204 ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1376,plain,
( h2(e10) != e23
| spl0_204 ),
inference(component_clause,[status(thm)],[f1374]) ).
fof(f1382,plain,
( spl0_206
<=> h2(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1383,plain,
( h2(e12) = e23
| ~ spl0_206 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1384,plain,
( h2(e12) != e23
| spl0_206 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1390,plain,
( spl0_208
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1392,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_208 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( spl0_209
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1395,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,plain,
( spl0_210
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1398,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_210 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( spl0_211
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1400,plain,
( h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
| ~ spl0_211 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1401,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,plain,
( spl0_212
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1404,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1411,plain,
( spl0_215
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1413,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( spl0_216
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1416,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( spl0_217
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1419,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_217 ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,plain,
( spl0_218
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1422,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_218 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( spl0_219
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1425,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,plain,
( spl0_220
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1428,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1435,plain,
( spl0_223
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1436,plain,
( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
| ~ spl0_223 ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1437,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_223 ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1438,plain,
( spl0_224
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1441,plain,
( spl0_225
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1444,plain,
( spl0_226
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1463,plain,
( spl0_231
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_231 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,plain,
( spl0_232
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1467,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
| ~ spl0_232 ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1468,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl0_232 ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1469,plain,
( spl0_233
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1470,plain,
( h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
| ~ spl0_233 ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1471,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_233 ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1472,plain,
( spl0_234
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1474,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_234 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( spl0_235
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1476,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl0_235 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_235 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,plain,
( spl0_236
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1480,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_236 ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,plain,
( spl0_237
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1482,plain,
( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
| ~ spl0_237 ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1483,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl0_237 ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,plain,
( spl0_238
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1485,plain,
( h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
| ~ spl0_238 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1486,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl0_238 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1487,plain,
( spl0_239
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1488,plain,
( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1489,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_239 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( spl0_240
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1492,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_240 ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( spl0_241
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1494,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl0_241 ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1495,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_241 ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( spl0_242
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1497,plain,
( h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
| ~ spl0_242 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1498,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl0_242 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1499,plain,
( spl0_243
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1501,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_243 ),
inference(component_clause,[status(thm)],[f1499]) ).
fof(f1502,plain,
( spl0_244
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1503,plain,
( h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
| ~ spl0_244 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1504,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_244 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,plain,
( spl0_245
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1507,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_245 ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1508,plain,
( spl0_246
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1510,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_246 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( spl0_247
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1514,plain,
( spl0_248
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1517,plain,
( spl0_249
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1532,plain,
( spl0_253
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1534,plain,
( h4(e13) != e23
| spl0_253 ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1535,plain,
( ~ spl0_231
| ~ spl0_232
| ~ spl0_233
| ~ spl0_234
| ~ spl0_235
| ~ spl0_236
| ~ spl0_237
| ~ spl0_238
| ~ spl0_239
| ~ spl0_240
| ~ spl0_241
| ~ spl0_242
| ~ spl0_243
| ~ spl0_244
| ~ spl0_245
| ~ spl0_246
| spl0_247
| spl0_248
| spl0_249
| ~ spl0_253 ),
inference(split_clause,[status(thm)],[f315,f1463,f1466,f1469,f1472,f1475,f1478,f1481,f1484,f1487,f1490,f1493,f1496,f1499,f1502,f1505,f1508,f1511,f1514,f1517,f1532]) ).
fof(f1536,plain,
( spl0_254
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1539,plain,
( ~ spl0_144
| spl0_254
| spl0_62 ),
inference(split_clause,[status(thm)],[f319,f1174,f1536,f843]) ).
fof(f1545,plain,
( spl0_255
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1548,plain,
( ~ spl0_161
| spl0_255
| spl0_126 ),
inference(split_clause,[status(thm)],[f328,f1235,f1545,f1083]) ).
fof(f1558,plain,
( spl0_257
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1559,plain,
( h1(e11) = e20
| ~ spl0_257 ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
( h1(e11) != e20
| spl0_257 ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1562,plain,
( spl0_258
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1564,plain,
( h1(e12) != e20
| spl0_258 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1566,plain,
( spl0_259
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1568,plain,
( h1(e13) != e20
| spl0_259 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,plain,
( ~ spl0_178
| ~ spl0_259 ),
inference(split_clause,[status(thm)],[f338,f1292,f1566]) ).
fof(f1570,plain,
( spl0_260
<=> h1(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1572,plain,
( h1(e10) != e21
| spl0_260 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,plain,
( ~ spl0_179
| ~ spl0_260 ),
inference(split_clause,[status(thm)],[f340,f1295,f1570]) ).
fof(f1574,plain,
( spl0_261
<=> h1(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1575,plain,
( h1(e11) = e21
| ~ spl0_261 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1576,plain,
( h1(e11) != e21
| spl0_261 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1590,plain,
( spl0_265
<=> h1(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1591,plain,
( h1(e11) = e22
| ~ spl0_265 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1592,plain,
( h1(e11) != e22
| spl0_265 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1594,plain,
( spl0_266
<=> h1(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1595,plain,
( h1(e12) = e22
| ~ spl0_266 ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1596,plain,
( h1(e12) != e22
| spl0_266 ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1597,plain,
( ~ spl0_180
| ~ spl0_266 ),
inference(split_clause,[status(thm)],[f347,f1298,f1594]) ).
fof(f1606,plain,
( spl0_269
<=> h2(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1607,plain,
( h2(e11) = e20
| ~ spl0_269 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1630,plain,
( spl0_275
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1632,plain,
( h2(e13) != e21
| spl0_275 ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,plain,
( ~ spl0_202
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f358,f1368,f1630]) ).
fof(f1634,plain,
( spl0_276
<=> h2(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1635,plain,
( h2(e10) = e22
| ~ spl0_276 ),
inference(component_clause,[status(thm)],[f1634]) ).
fof(f1636,plain,
( h2(e10) != e22
| spl0_276 ),
inference(component_clause,[status(thm)],[f1634]) ).
fof(f1650,plain,
( spl0_280
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1652,plain,
( h3(e10) != e20
| spl0_280 ),
inference(component_clause,[status(thm)],[f1650]) ).
fof(f1653,plain,
( ~ spl0_224
| ~ spl0_280 ),
inference(split_clause,[status(thm)],[f365,f1438,f1650]) ).
fof(f1666,plain,
( spl0_284
<=> h3(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1667,plain,
( h3(e10) = e21
| ~ spl0_284 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1670,plain,
( spl0_285
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1671,plain,
( h3(e11) = e21
| ~ spl0_285 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1672,plain,
( h3(e11) != e21
| spl0_285 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( ~ spl0_225
| ~ spl0_285 ),
inference(split_clause,[status(thm)],[f371,f1441,f1670]) ).
fof(f1686,plain,
( spl0_289
<=> h3(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1687,plain,
( h3(e11) = e22
| ~ spl0_289 ),
inference(component_clause,[status(thm)],[f1686]) ).
fof(f1688,plain,
( h3(e11) != e22
| spl0_289 ),
inference(component_clause,[status(thm)],[f1686]) ).
fof(f1690,plain,
( spl0_290
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1694,plain,
( spl0_291
<=> h3(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1696,plain,
( h3(e13) != e22
| spl0_291 ),
inference(component_clause,[status(thm)],[f1694]) ).
fof(f1697,plain,
( ~ spl0_226
| ~ spl0_291 ),
inference(split_clause,[status(thm)],[f378,f1444,f1694]) ).
fof(f1698,plain,
( spl0_292
<=> h4(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1700,plain,
( h4(e10) != e20
| spl0_292 ),
inference(component_clause,[status(thm)],[f1698]) ).
fof(f1701,plain,
( ~ spl0_247
| ~ spl0_292 ),
inference(split_clause,[status(thm)],[f380,f1511,f1698]) ).
fof(f1718,plain,
( spl0_297
<=> h4(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1720,plain,
( h4(e11) != e21
| spl0_297 ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1721,plain,
( ~ spl0_248
| ~ spl0_297 ),
inference(split_clause,[status(thm)],[f386,f1514,f1718]) ).
fof(f1738,plain,
( spl0_302
<=> h4(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1740,plain,
( h4(e12) != e22
| spl0_302 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1741,plain,
( ~ spl0_249
| ~ spl0_302 ),
inference(split_clause,[status(thm)],[f392,f1517,f1738]) ).
fof(f1746,plain,
( spl0_304
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1749,plain,
( ~ spl0_254
| spl0_304
| spl0_61 ),
inference(split_clause,[status(thm)],[f397,f1536,f1746,f840]) ).
fof(f1755,plain,
( spl0_305
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1758,plain,
( ~ spl0_255
| spl0_305
| spl0_125 ),
inference(split_clause,[status(thm)],[f406,f1545,f1755,f1080]) ).
fof(f1764,plain,
( spl0_306
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1768,plain,
( ~ spl0_304
| spl0_306
| spl0_51 ),
inference(split_clause,[status(thm)],[f416,f1746,f1764,f807]) ).
fof(f1773,plain,
( spl0_307
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1777,plain,
( ~ spl0_305
| spl0_307
| spl0_115 ),
inference(split_clause,[status(thm)],[f425,f1755,f1773,f1047]) ).
fof(f1782,plain,
( spl0_308
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1785,plain,
( ~ spl0_306
| spl0_308
| spl0_43 ),
inference(split_clause,[status(thm)],[f433,f1764,f1782,f781]) ).
fof(f1786,plain,
( ~ spl0_306
| spl0_308
| spl0_46 ),
inference(split_clause,[status(thm)],[f434,f1764,f1782,f791]) ).
fof(f1791,plain,
( spl0_309
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1794,plain,
( ~ spl0_307
| spl0_309
| spl0_107 ),
inference(split_clause,[status(thm)],[f442,f1773,f1791,f1021]) ).
fof(f1795,plain,
( ~ spl0_307
| spl0_309
| spl0_110 ),
inference(split_clause,[status(thm)],[f443,f1773,f1791,f1031]) ).
fof(f1797,plain,
( ~ spl0_307
| spl0_309
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f445,f1773,f1791,f1054]) ).
fof(f1800,plain,
( spl0_310
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1803,plain,
( ~ spl0_308
| spl0_310
| spl0_42 ),
inference(split_clause,[status(thm)],[f451,f1782,f1800,f778]) ).
fof(f1807,plain,
( ~ spl0_308
| spl0_310
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f455,f1782,f1800,f778]) ).
fof(f1808,plain,
( ~ spl0_308
| spl0_310
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f456,f1782,f1800,f794]) ).
fof(f1809,plain,
( spl0_311
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1812,plain,
( ~ spl0_309
| spl0_311
| spl0_106 ),
inference(split_clause,[status(thm)],[f460,f1791,f1809,f1018]) ).
fof(f1814,plain,
( ~ spl0_309
| spl0_311
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f462,f1791,f1809,f986]) ).
fof(f1815,plain,
( ~ spl0_309
| spl0_311
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f463,f1791,f1809,f1002]) ).
fof(f1816,plain,
( ~ spl0_309
| spl0_311
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f464,f1791,f1809,f1018]) ).
fof(f1818,plain,
( spl0_312
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1821,plain,
( ~ spl0_310
| spl0_312
| spl0_41 ),
inference(split_clause,[status(thm)],[f469,f1800,f1818,f775]) ).
fof(f1822,plain,
( ~ spl0_310
| spl0_312
| spl0_38 ),
inference(split_clause,[status(thm)],[f470,f1800,f1818,f765]) ).
fof(f1825,plain,
( ~ spl0_310
| spl0_312
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f473,f1800,f1818,f726]) ).
fof(f1827,plain,
( spl0_313
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1830,plain,
( ~ spl0_311
| spl0_313
| spl0_105 ),
inference(split_clause,[status(thm)],[f478,f1809,f1827,f1015]) ).
fof(f1834,plain,
( ~ spl0_311
| spl0_313
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f482,f1809,f1827,f966]) ).
fof(f1835,plain,
( ~ spl0_311
| spl0_313
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f483,f1809,f1827,f982]) ).
fof(f1836,plain,
( spl0_314
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1839,plain,
( ~ spl0_312
| spl0_314
| spl0_40 ),
inference(split_clause,[status(thm)],[f487,f1818,f1836,f772]) ).
fof(f1840,plain,
( ~ spl0_312
| spl0_314
| spl0_34 ),
inference(split_clause,[status(thm)],[f488,f1818,f1836,f752]) ).
fof(f1845,plain,
( spl0_315
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1848,plain,
( ~ spl0_313
| spl0_315
| spl0_104 ),
inference(split_clause,[status(thm)],[f496,f1827,f1845,f1012]) ).
fof(f1849,plain,
( ~ spl0_313
| spl0_315
| spl0_98 ),
inference(split_clause,[status(thm)],[f497,f1827,f1845,f992]) ).
fof(f1854,plain,
( spl0_316
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1857,plain,
( ~ spl0_314
| spl0_316
| spl0_23 ),
inference(split_clause,[status(thm)],[f505,f1836,f1854,f716]) ).
fof(f1858,plain,
( ~ spl0_314
| spl0_316
| spl0_29 ),
inference(split_clause,[status(thm)],[f506,f1836,f1854,f736]) ).
fof(f1860,plain,
( ~ spl0_314
| spl0_316
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f508,f1836,f1854,f814]) ).
fof(f1863,plain,
( spl0_317
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1866,plain,
( ~ spl0_315
| spl0_317
| spl0_87 ),
inference(split_clause,[status(thm)],[f514,f1845,f1863,f956]) ).
fof(f1867,plain,
( ~ spl0_315
| spl0_317
| spl0_93 ),
inference(split_clause,[status(thm)],[f515,f1845,f1863,f976]) ).
fof(f1872,plain,
( spl0_318
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1875,plain,
( ~ spl0_316
| spl0_318
| spl0_22 ),
inference(split_clause,[status(thm)],[f523,f1854,f1872,f713]) ).
fof(f1876,plain,
( ~ spl0_316
| spl0_318
| spl0_25 ),
inference(split_clause,[status(thm)],[f524,f1854,f1872,f723]) ).
fof(f1879,plain,
( ~ spl0_316
| spl0_318
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f527,f1854,f1872,f778]) ).
fof(f1880,plain,
( ~ spl0_316
| spl0_318
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f528,f1854,f1872,f794]) ).
fof(f1881,plain,
( spl0_319
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1884,plain,
( ~ spl0_317
| spl0_319
| spl0_86 ),
inference(split_clause,[status(thm)],[f532,f1863,f1881,f953]) ).
fof(f1885,plain,
( ~ spl0_317
| spl0_319
| spl0_89 ),
inference(split_clause,[status(thm)],[f533,f1863,f1881,f963]) ).
fof(f1887,plain,
( ~ spl0_317
| spl0_319
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f535,f1863,f1881,f1002]) ).
fof(f1888,plain,
( ~ spl0_317
| spl0_319
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f536,f1863,f1881,f1018]) ).
fof(f1890,plain,
( spl0_320
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1893,plain,
( ~ spl0_318
| spl0_320
| spl0_21 ),
inference(split_clause,[status(thm)],[f541,f1872,f1890,f710]) ).
fof(f1895,plain,
( ~ spl0_318
| spl0_320
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f543,f1872,f1890,f694]) ).
fof(f1896,plain,
( ~ spl0_318
| spl0_320
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f544,f1872,f1890,f710]) ).
fof(f1898,plain,
( ~ spl0_318
| spl0_320
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f546,f1872,f1890,f742]) ).
fof(f1899,plain,
( spl0_321
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1902,plain,
( ~ spl0_319
| spl0_321
| spl0_85 ),
inference(split_clause,[status(thm)],[f550,f1881,f1899,f950]) ).
fof(f1906,plain,
( ~ spl0_319
| spl0_321
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f554,f1881,f1899,f966]) ).
fof(f1907,plain,
( ~ spl0_319
| spl0_321
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f555,f1881,f1899,f982]) ).
fof(f1908,plain,
( spl0_322
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1912,plain,
( ~ spl0_320
| spl0_322
| spl0_17 ),
inference(split_clause,[status(thm)],[f560,f1890,f1908,f697]) ).
fof(f1917,plain,
( spl0_323
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1920,plain,
( ~ spl0_321
| spl0_323
| spl0_84 ),
inference(split_clause,[status(thm)],[f568,f1899,f1917,f947]) ).
fof(f1921,plain,
( ~ spl0_321
| spl0_323
| spl0_81 ),
inference(split_clause,[status(thm)],[f569,f1899,f1917,f937]) ).
fof(f1926,plain,
( spl0_324
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1929,plain,
( ~ spl0_322
| spl0_324
| spl0_3 ),
inference(split_clause,[status(thm)],[f577,f1908,f1926,f651]) ).
fof(f1935,plain,
( spl0_325
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1938,plain,
( ~ spl0_323
| spl0_325
| spl0_67 ),
inference(split_clause,[status(thm)],[f586,f1917,f1935,f891]) ).
fof(f1944,plain,
( spl0_326
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1947,plain,
( ~ spl0_324
| spl0_326
| spl0_2 ),
inference(split_clause,[status(thm)],[f595,f1926,f1944,f648]) ).
fof(f1953,plain,
( spl0_327
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1956,plain,
( ~ spl0_325
| spl0_327
| spl0_66 ),
inference(split_clause,[status(thm)],[f604,f1935,f1953,f888]) ).
fof(f1962,plain,
( spl0_328
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1966,plain,
( ~ spl0_326
| spl0_328
| spl0_4 ),
inference(split_clause,[status(thm)],[f614,f1944,f1962,f655]) ).
fof(f1967,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f615,f1944,f1962,f694]) ).
fof(f1968,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f616,f1944,f1962,f710]) ).
fof(f1970,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f618,f1944,f1962,f742]) ).
fof(f1971,plain,
( spl0_329
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1975,plain,
( ~ spl0_327
| spl0_329
| spl0_68 ),
inference(split_clause,[status(thm)],[f623,f1953,f1971,f895]) ).
fof(f1978,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f626,f1953,f1971,f966]) ).
fof(f1979,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f627,f1953,f1971,f982]) ).
fof(f1980,plain,
( ~ spl0_328
| spl0_0 ),
inference(split_clause,[status(thm)],[f629,f1962,f642]) ).
fof(f1986,plain,
( ~ spl0_329
| spl0_64 ),
inference(split_clause,[status(thm)],[f636,f1971,f882]) ).
fof(f1992,plain,
( e21 != op2(e20,e23)
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f886,f190]) ).
fof(f1993,plain,
( e21 != op2(e20,e22)
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f886,f189]) ).
fof(f1994,plain,
( e21 != op2(e20,e21)
| ~ spl0_65 ),
inference(backward_demodulation,[status(thm)],[f886,f188]) ).
fof(f2002,plain,
( e20 != op2(e21,e21)
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f896,f170]) ).
fof(f2013,plain,
( e20 != op2(e22,e22)
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f909,f177]) ).
fof(f2014,plain,
( e20 != op2(e21,e22)
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f909,f176]) ).
fof(f2022,plain,
( op2(e23,e20) != e23
| ~ spl0_123 ),
inference(backward_demodulation,[status(thm)],[f1074,f207]) ).
fof(f2031,plain,
( e22 != op2(e23,e21)
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f1006,f175]) ).
fof(f2032,plain,
( op2(e21,e21) != e22
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f1006,f173]) ).
fof(f2033,plain,
( e21 = e20
| ~ spl0_105
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f1016,f1013]) ).
fof(f2034,plain,
( $false
| ~ spl0_105
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f2033,f218]) ).
fof(f2035,plain,
( ~ spl0_105
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f2034]) ).
fof(f2036,plain,
( e22 = e21
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f1006,f1003]) ).
fof(f2037,plain,
( $false
| ~ spl0_102
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2036,f221]) ).
fof(f2038,plain,
( ~ spl0_102
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f2037]) ).
fof(f2043,plain,
( e22 != op2(e22,e23)
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f993,f202]) ).
fof(f2044,plain,
( e22 != op2(e23,e20)
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f993,f169]) ).
fof(f2045,plain,
( op2(e21,e20) != e22
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f993,f167]) ).
fof(f2047,plain,
( e22 != op2(e21,e22)
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f954,f197]) ).
fof(f2050,plain,
( e21 != op2(e21,e23)
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f964,f199]) ).
fof(f2055,plain,
( op2(e21,e21) != e21
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f964,f197]) ).
fof(f2058,plain,
( h1(e11) != op2(h1(e10),h1(e10))
| ~ spl0_1
| spl0_162 ),
inference(backward_demodulation,[status(thm)],[f646,f1246]) ).
fof(f2064,plain,
( e11 != op1(e10,e11)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f646,f140]) ).
fof(f2065,plain,
( e11 != op1(e13,e10)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f646,f118]) ).
fof(f2066,plain,
( e11 != op1(e12,e10)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f646,f117]) ).
fof(f2067,plain,
( e11 != op1(e11,e10)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f646,f116]) ).
fof(f2071,plain,
( h4(e10) != op2(h4(e10),h4(e11))
| ~ spl0_4
| spl0_232 ),
inference(backward_demodulation,[status(thm)],[f656,f1468]) ).
fof(f2073,plain,
( e10 != op1(e10,e12)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f656,f143]) ).
fof(f2091,plain,
( e10 != op1(e12,e12)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f669,f129]) ).
fof(f2092,plain,
( e10 != op1(e11,e12)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f669,f128]) ).
fof(f2106,plain,
( op1(e13,e10) != e13
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f834,f159]) ).
fof(f2118,plain,
( op1(e11,e12) != e11
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f776,f131]) ).
fof(f2122,plain,
( op1(e12,e10) != e12
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f766,f152]) ).
fof(f2127,plain,
( e11 = e10
| ~ spl0_41
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f776,f773]) ).
fof(f2128,plain,
( $false
| ~ spl0_41
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f2127,f212]) ).
fof(f2129,plain,
( ~ spl0_41
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f2128]) ).
fof(f2130,plain,
( e12 = e11
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f766,f763]) ).
fof(f2131,plain,
( $false
| ~ spl0_38
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2130,f215]) ).
fof(f2132,plain,
( ~ spl0_38
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f2131]) ).
fof(f2143,plain,
( e10 != e10
| ~ spl0_8
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f669,f2073]) ).
fof(f2144,plain,
( $false
| ~ spl0_8
| ~ spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f2143]) ).
fof(f2145,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2146,plain,
( op1(e10,e12) != e13
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f834,f130]) ).
fof(f2147,plain,
( h1(e12) != op2(h1(e12),h1(e10))
| ~ spl0_34
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f753,f1270]) ).
fof(f2153,plain,
( op1(e11,e10) != e12
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f753,f119]) ).
fof(f2158,plain,
( e12 != op1(e11,e13)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f714,f150]) ).
fof(f2159,plain,
( e12 != op1(e11,e12)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f714,f149]) ).
fof(f2162,plain,
( e10 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f844,f264]) ).
fof(f2163,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2162,f213]) ).
fof(f2164,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2163]) ).
fof(f2165,plain,
( e12 = e10
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f753,f747]) ).
fof(f2166,plain,
( $false
| ~ spl0_34
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f2165,f213]) ).
fof(f2167,plain,
( ~ spl0_34
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f2166]) ).
fof(f2170,plain,
( ~ spl0_40
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2091,f772,f668]) ).
fof(f2171,plain,
( e20 = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f1084,f267]) ).
fof(f2172,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2171,f219]) ).
fof(f2173,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f2172]) ).
fof(f2178,plain,
( e12 != op1(e12,e11)
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f714,f125]) ).
fof(f2180,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e20)
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f270,f1255]) ).
fof(f2183,plain,
( h1(op1(e13,e10)) != op2(e20,h1(e10))
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f270,f1282]) ).
fof(f2185,plain,
h1(e11) = op2(h1(e10),op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f271,f272]) ).
fof(f2186,plain,
h1(e11) = op2(h1(e10),h1(e10)),
inference(forward_demodulation,[status(thm)],[f271,f2185]) ).
fof(f2187,plain,
h1(e12) = op2(h1(e10),e20),
inference(forward_demodulation,[status(thm)],[f271,f273]) ).
fof(f2192,plain,
( h2(op1(e13,e11)) != op2(e21,h2(e11))
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f274,f1358]) ).
fof(f2193,plain,
h2(e11) = op2(h2(e10),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f275,f276]) ).
fof(f2194,plain,
h2(e11) = op2(h2(e10),h2(e10)),
inference(forward_demodulation,[status(thm)],[f275,f2193]) ).
fof(f2195,plain,
h2(e12) = op2(h2(e10),e21),
inference(forward_demodulation,[status(thm)],[f275,f277]) ).
fof(f2196,plain,
( $false
| spl0_291 ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f1696]) ).
fof(f2197,plain,
spl0_291,
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2198,plain,
h3(e11) = op2(h3(e10),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f279,f280]) ).
fof(f2199,plain,
h3(e11) = op2(h3(e10),h3(e10)),
inference(forward_demodulation,[status(thm)],[f279,f2198]) ).
fof(f2200,plain,
h3(e12) = op2(h3(e10),e22),
inference(forward_demodulation,[status(thm)],[f279,f281]) ).
fof(f2203,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl0_234 ),
inference(backward_demodulation,[status(thm)],[f282,f1474]) ).
fof(f2204,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl0_238 ),
inference(backward_demodulation,[status(thm)],[f282,f1486]) ).
fof(f2206,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl0_242 ),
inference(backward_demodulation,[status(thm)],[f282,f1498]) ).
fof(f2207,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl0_243 ),
inference(backward_demodulation,[status(thm)],[f282,f1501]) ).
fof(f2208,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl0_244 ),
inference(backward_demodulation,[status(thm)],[f282,f1504]) ).
fof(f2209,plain,
e22 = op2(h4(e10),e23),
inference(backward_demodulation,[status(thm)],[f283,f269]) ).
fof(f2210,plain,
e21 = op2(op2(e23,e23),h4(e10)),
inference(backward_demodulation,[status(thm)],[f283,f268]) ).
fof(f2211,plain,
e21 = op2(h4(e10),h4(e10)),
inference(forward_demodulation,[status(thm)],[f283,f2210]) ).
fof(f2213,plain,
( h2(op1(e10,e10)) != h2(e11)
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2194,f1319]) ).
fof(f2214,plain,
( h3(op1(e10,e10)) != h3(e11)
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f2199,f1392]) ).
fof(f2223,plain,
( e12 = e10
| ~ spl0_22
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f714,f708]) ).
fof(f2224,plain,
( $false
| ~ spl0_22
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f2223,f213]) ).
fof(f2225,plain,
( ~ spl0_22
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2235,plain,
( h1(e10) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f271,f892]) ).
fof(f2240,plain,
( e23 = op2(e20,e20)
| ~ spl0_67 ),
inference(backward_demodulation,[status(thm)],[f2235,f271]) ).
fof(f2252,plain,
( h2(e10) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f275,f957]) ).
fof(f2253,plain,
( h2(e12) = op2(e23,e21)
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f2252,f2195]) ).
fof(f2257,plain,
( e23 = op2(e21,e21)
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f2252,f275]) ).
fof(f2259,plain,
( e11 != op1(e12,e13)
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f737,f137]) ).
fof(f2260,plain,
( h3(e10) = e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f279,f1022]) ).
fof(f2264,plain,
( h3(e11) = op2(h3(e10),e23)
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f2260,f2199]) ).
fof(f2265,plain,
( h3(e11) = op2(e23,e23)
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f2260,f2264]) ).
fof(f2266,plain,
( h3(e11) = h4(e10)
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f283,f2265]) ).
fof(f2267,plain,
( e23 = op2(e22,e22)
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f2260,f279]) ).
fof(f2272,plain,
( h4(e10) = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f283,f1078]) ).
fof(f2273,plain,
( $false
| spl0_292
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2272,f1700]) ).
fof(f2274,plain,
( spl0_292
| ~ spl0_124 ),
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2275,plain,
( e13 != op1(e13,e11)
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f808,f158]) ).
fof(f2276,plain,
( e12 = op1(e10,e13)
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f838,f266]) ).
fof(f2277,plain,
( e12 = e10
| ~ spl0_12
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f682,f2276]) ).
fof(f2278,plain,
( $false
| ~ spl0_12
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f213]) ).
fof(f2279,plain,
( ~ spl0_12
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2280,plain,
( e11 = op1(op1(e13,e13),e10)
| ~ spl0_60 ),
inference(backward_demodulation,[status(thm)],[f838,f265]) ).
fof(f2281,plain,
( e11 = op1(e10,e10)
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f838,f2280]) ).
fof(f2282,plain,
( e11 = e13
| ~ spl0_3
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f652,f2281]) ).
fof(f2283,plain,
( $false
| ~ spl0_3
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f2282,f216]) ).
fof(f2284,plain,
( ~ spl0_3
| ~ spl0_60 ),
inference(contradiction_clause,[status(thm)],[f2283]) ).
fof(f2285,plain,
( e13 = e10
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f808,f799]) ).
fof(f2286,plain,
( $false
| ~ spl0_51
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f2285,f214]) ).
fof(f2287,plain,
( ~ spl0_51
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f2286]) ).
fof(f2289,plain,
( op1(e10,e13) != e12
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f792,f135]) ).
fof(f2291,plain,
( e13 = e12
| ~ spl0_23
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f717,f714]) ).
fof(f2292,plain,
( $false
| ~ spl0_23
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2291,f217]) ).
fof(f2293,plain,
( ~ spl0_23
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2292]) ).
fof(f2306,plain,
( e11 != e11
| ~ spl0_17
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f698,f2067]) ).
fof(f2307,plain,
( $false
| ~ spl0_17
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f2306]) ).
fof(f2308,plain,
( ~ spl0_17
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2307]) ).
fof(f2316,plain,
( e13 = e10
| ~ spl0_43
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f782,f773]) ).
fof(f2317,plain,
( $false
| ~ spl0_43
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f214]) ).
fof(f2318,plain,
( ~ spl0_43
| ~ spl0_40 ),
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2323,plain,
( e11 = e13
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f737,f743]) ).
fof(f2324,plain,
( $false
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2323,f216]) ).
fof(f2325,plain,
( ~ spl0_29
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2324]) ).
fof(f2326,plain,
( e11 = e12
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f724,f727]) ).
fof(f2327,plain,
( $false
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f2326,f215]) ).
fof(f2328,plain,
( ~ spl0_25
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f2327]) ).
fof(f2335,plain,
( e13 = e12
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f834,f831]) ).
fof(f2336,plain,
( $false
| ~ spl0_59
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f2335,f217]) ).
fof(f2337,plain,
( ~ spl0_59
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f2336]) ).
fof(f2342,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f282,f1507]) ).
fof(f2343,plain,
( e11 != op1(e13,e12)
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f724,f132]) ).
fof(f2344,plain,
( h4(e10) = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f283,f1081]) ).
fof(f2358,plain,
( e11 != e11
| ~ spl0_25
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f724,f2118]) ).
fof(f2359,plain,
( $false
| ~ spl0_25
| ~ spl0_41 ),
inference(trivial_equality_resolution,[status(esa)],[f2358]) ).
fof(f2360,plain,
( ~ spl0_25
| ~ spl0_41 ),
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2361,plain,
( e13 != e13
| ~ spl0_55
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f821,f2275]) ).
fof(f2362,plain,
( $false
| ~ spl0_55
| ~ spl0_51 ),
inference(trivial_equality_resolution,[status(esa)],[f2361]) ).
fof(f2363,plain,
( ~ spl0_55
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2362]) ).
fof(f2377,plain,
( e13 = e11
| ~ spl0_55
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f821,f815]) ).
fof(f2378,plain,
( $false
| ~ spl0_55
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2377,f216]) ).
fof(f2379,plain,
( ~ spl0_55
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f2378]) ).
fof(f2385,plain,
( e20 = e22
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f922,f928]) ).
fof(f2386,plain,
( $false
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2385,f219]) ).
fof(f2387,plain,
( ~ spl0_76
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2391,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f283,f284]) ).
fof(f2392,plain,
h4(e11) = op2(h4(e10),h4(e10)),
inference(forward_demodulation,[status(thm)],[f283,f2391]) ).
fof(f2393,plain,
h4(e12) = op2(h4(e10),e23),
inference(forward_demodulation,[status(thm)],[f283,f285]) ).
fof(f2396,plain,
( op2(e20,e20) != e21
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f938,f164]) ).
fof(f2400,plain,
( op2(e20,e21) != e23
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1061,f172]) ).
fof(f2402,plain,
( op2(e21,e21) != e23
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1061,f174]) ).
fof(f2408,plain,
( e23 = e22
| ~ spl0_119
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f1061,f1058]) ).
fof(f2409,plain,
( $false
| ~ spl0_119
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f2408,f223]) ).
fof(f2410,plain,
( ~ spl0_119
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f2409]) ).
fof(f2411,plain,
( e23 = e22
| ~ spl0_123
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f1074,f1071]) ).
fof(f2412,plain,
( $false
| ~ spl0_123
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f2411,f223]) ).
fof(f2413,plain,
( ~ spl0_123
| ~ spl0_122 ),
inference(contradiction_clause,[status(thm)],[f2412]) ).
fof(f2414,plain,
( e23 = e21
| ~ spl0_119
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f1061,f1055]) ).
fof(f2415,plain,
( $false
| ~ spl0_119
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f2414,f222]) ).
fof(f2416,plain,
( ~ spl0_119
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f2415]) ).
fof(f2421,plain,
( e22 = e23
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f1032,f1035]) ).
fof(f2422,plain,
( $false
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f2421,f223]) ).
fof(f2423,plain,
( ~ spl0_110
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f2422]) ).
fof(f2431,plain,
( h4(e10) != e20
| spl0_124 ),
inference(forward_demodulation,[status(thm)],[f283,f1079]) ).
fof(f2434,plain,
op2(e23,e22) != h4(e10),
inference(forward_demodulation,[status(thm)],[f283,f211]) ).
fof(f2435,plain,
( e23 != op2(e23,e22)
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1061,f209]) ).
fof(f2437,plain,
( op2(e23,e20) != e23
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f1061,f206]) ).
fof(f2455,plain,
( e20 = e23
| ~ spl0_72
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f909,f918]) ).
fof(f2456,plain,
( $false
| ~ spl0_72
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f2455,f220]) ).
fof(f2457,plain,
( ~ spl0_72
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2456]) ).
fof(f2475,plain,
( $false
| ~ spl0_119
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f905,f2400]) ).
fof(f2476,plain,
( ~ spl0_119
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f2475]) ).
fof(f2480,plain,
( e21 != e21
| ~ spl0_77
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f925,f1992]) ).
fof(f2481,plain,
( $false
| ~ spl0_77
| ~ spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f2480]) ).
fof(f2482,plain,
( ~ spl0_77
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2481]) ).
fof(f2483,plain,
( ~ spl0_69
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1994,f898,f885]) ).
fof(f2484,plain,
( ~ spl0_93
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2050,f976,f963]) ).
fof(f2485,plain,
( ~ spl0_115
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f2022,f1047,f1073]) ).
fof(f2490,plain,
( ~ spl0_65
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f2396,f885,f937]) ).
fof(f2491,plain,
( ~ spl0_90
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f2047,f966,f953]) ).
fof(f2497,plain,
( e23 = e22
| ~ spl0_83
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f944,f941]) ).
fof(f2498,plain,
( $false
| ~ spl0_83
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2497,f223]) ).
fof(f2499,plain,
( ~ spl0_83
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2498]) ).
fof(f2503,plain,
( op1(e10,e10) != e12
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f688,f142]) ).
fof(f2504,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2503,f648,f687]) ).
fof(f2505,plain,
( e12 = e11
| ~ spl0_30
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f740,f737]) ).
fof(f2506,plain,
( $false
| ~ spl0_30
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f215]) ).
fof(f2507,plain,
( ~ spl0_30
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2509,plain,
( e13 = e12
| ~ spl0_55
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f821,f818]) ).
fof(f2510,plain,
( $false
| ~ spl0_55
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f2509,f217]) ).
fof(f2511,plain,
( ~ spl0_55
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f2510]) ).
fof(f2513,plain,
( e21 != e21
| spl0_275 ),
inference(forward_demodulation,[status(thm)],[f274,f1632]) ).
fof(f2514,plain,
( $false
| spl0_275 ),
inference(trivial_equality_resolution,[status(esa)],[f2513]) ).
fof(f2515,plain,
spl0_275,
inference(contradiction_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
op1(e11,e13) != e10,
inference(forward_demodulation,[status(thm)],[f264,f138]) ).
fof(f2519,plain,
e20 = h4(e10),
inference(forward_demodulation,[status(thm)],[f283,f267]) ).
fof(f2520,plain,
h4(e12) = op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f2519,f2393]) ).
fof(f2521,plain,
h4(e11) = op2(h4(e10),e20),
inference(backward_demodulation,[status(thm)],[f2519,f2392]) ).
fof(f2522,plain,
h4(e11) = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f2519,f2521]) ).
fof(f2523,plain,
e20 = op2(e23,e23),
inference(backward_demodulation,[status(thm)],[f2519,f283]) ).
fof(f2525,plain,
( op1(e12,e11) != e13
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f821,f127]) ).
fof(f2528,plain,
( op1(e11,e11) != e13
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f821,f126]) ).
fof(f2530,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[status(thm)],[f2519,f2209]) ).
fof(f2532,plain,
e21 = op2(e20,h4(e10)),
inference(forward_demodulation,[status(thm)],[f2519,f2211]) ).
fof(f2533,plain,
e21 = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f2519,f2532]) ).
fof(f2551,plain,
( op1(e12,e11) != e11
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f789,f156]) ).
fof(f2554,plain,
( op1(e12,e12) != e11
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f789,f157]) ).
fof(f2555,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2554,f775,f788]) ).
fof(f2558,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f2517]) ).
fof(f2559,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f2558]) ).
fof(f2561,plain,
( e11 = e10
| ~ spl0_57
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f828,f825]) ).
fof(f2562,plain,
( $false
| ~ spl0_57
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f2561,f212]) ).
fof(f2563,plain,
( ~ spl0_57
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f2562]) ).
fof(f2568,plain,
( op1(e10,e12) != e13
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f730,f128]) ).
fof(f2577,plain,
( $false
| ~ spl0_55
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f769,f2525]) ).
fof(f2578,plain,
( ~ spl0_55
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f2577]) ).
fof(f2591,plain,
( op1(e11,e11) != e10
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f760,f125]) ).
fof(f2592,plain,
( ~ spl0_20
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2591,f707,f759]) ).
fof(f2595,plain,
( op1(e10,e11) != e10
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f760,f123]) ).
fof(f2597,plain,
( e10 = e13
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f786,f795]) ).
fof(f2598,plain,
( $false
| ~ spl0_44
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f2597,f214]) ).
fof(f2599,plain,
( ~ spl0_44
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f2598]) ).
fof(f2608,plain,
( e10 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f264,f847]) ).
fof(f2609,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2608,f214]) ).
fof(f2610,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f2609]) ).
fof(f2617,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f2064,f658,f645]) ).
fof(f2618,plain,
( e11 != e11
| ~ spl0_49
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f802,f2065]) ).
fof(f2619,plain,
( $false
| ~ spl0_49
| ~ spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f2618]) ).
fof(f2620,plain,
( ~ spl0_49
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2619]) ).
fof(f2632,plain,
( e13 != op1(e11,e11)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f665,f122]) ).
fof(f2634,plain,
( e13 != op1(e11,e13)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f704,f148]) ).
fof(f2637,plain,
( e13 = e12
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f665,f662]) ).
fof(f2638,plain,
( $false
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f2637,f217]) ).
fof(f2639,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f2638]) ).
fof(f2640,plain,
( e13 = e12
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f704,f701]) ).
fof(f2641,plain,
( $false
| ~ spl0_19
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f2640,f217]) ).
fof(f2642,plain,
( ~ spl0_19
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2643,plain,
( op2(e22,e20) = op2(e20,e23)
| ~ spl0_157 ),
inference(forward_demodulation,[status(thm)],[f2530,f1223]) ).
fof(f2644,plain,
( op2(e22,e20) = e22
| ~ spl0_157 ),
inference(forward_demodulation,[status(thm)],[f2530,f2643]) ).
fof(f2645,plain,
( e22 != op2(e22,e21)
| ~ spl0_157 ),
inference(backward_demodulation,[status(thm)],[f2644,f200]) ).
fof(f2651,plain,
( ~ spl0_84
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f2002,f947,f895]) ).
fof(f2654,plain,
( e22 = e23
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f2530,f931]) ).
fof(f2655,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f2654,f223]) ).
fof(f2656,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f2655]) ).
fof(f2657,plain,
( e22 != e22
| spl0_78 ),
inference(forward_demodulation,[status(thm)],[f2530,f929]) ).
fof(f2658,plain,
( $false
| spl0_78 ),
inference(trivial_equality_resolution,[status(esa)],[f2657]) ).
fof(f2659,plain,
spl0_78,
inference(contradiction_clause,[status(thm)],[f2658]) ).
fof(f2661,plain,
( op2(e22,e20) != op2(e20,e23)
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f2530,f1224]) ).
fof(f2662,plain,
( op2(e22,e20) != e22
| spl0_157 ),
inference(forward_demodulation,[status(thm)],[f2530,f2661]) ).
fof(f2663,plain,
( ~ spl0_110
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2043,f1031,f992]) ).
fof(f2664,plain,
( ~ spl0_114
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2044,f1044,f992]) ).
fof(f2666,plain,
( ~ spl0_104
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2013,f1012,f908]) ).
fof(f2668,plain,
( e20 != e20
| spl0_124 ),
inference(forward_demodulation,[status(thm)],[f2519,f2431]) ).
fof(f2669,plain,
( $false
| spl0_124 ),
inference(trivial_equality_resolution,[status(esa)],[f2668]) ).
fof(f2670,plain,
spl0_124,
inference(contradiction_clause,[status(thm)],[f2669]) ).
fof(f2671,plain,
( e21 = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f2533,f883]) ).
fof(f2672,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2671,f218]) ).
fof(f2673,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f2672]) ).
fof(f2674,plain,
( e21 = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f2533,f889]) ).
fof(f2675,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2674,f221]) ).
fof(f2676,plain,
~ spl0_66,
inference(contradiction_clause,[status(thm)],[f2675]) ).
fof(f2683,plain,
e12 = op1(e10,e13),
inference(forward_demodulation,[status(thm)],[f264,f266]) ).
fof(f2685,plain,
e11 = op1(e10,op1(e13,e13)),
inference(forward_demodulation,[status(thm)],[f264,f265]) ).
fof(f2686,plain,
e11 = op1(e10,e10),
inference(forward_demodulation,[status(thm)],[f264,f2685]) ).
fof(f2690,plain,
e22 != op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f2530,f183]) ).
fof(f2691,plain,
e22 != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f2530,f182]) ).
fof(f2692,plain,
op2(e23,e22) != e20,
inference(forward_demodulation,[status(thm)],[f2519,f2434]) ).
fof(f2693,plain,
e21 != op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f2533,f166]) ).
fof(f2694,plain,
e21 != op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f2533,f165]) ).
fof(f2696,plain,
op2(e20,e22) != e22,
inference(forward_demodulation,[status(thm)],[f2530,f193]) ).
fof(f2698,plain,
( h4(op1(e10,e12)) != op2(e20,h4(e12))
| spl0_233 ),
inference(forward_demodulation,[status(thm)],[f2519,f1471]) ).
fof(f2699,plain,
( h1(e10) != op2(h1(e13),h1(e13))
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f264,f1291]) ).
fof(f2704,plain,
( h2(e10) != op2(h2(e13),h2(e13))
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f264,f1364]) ).
fof(f2708,plain,
( h3(e10) != op2(h3(e13),h3(e13))
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f264,f1437]) ).
fof(f2713,plain,
( op2(e21,e20) = op2(e20,e20)
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f2533,f1184]) ).
fof(f2714,plain,
( op2(e21,e20) = e21
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f2533,f2713]) ).
fof(f2717,plain,
( op1(e10,e13) = op1(e13,e13)
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f264,f1171]) ).
fof(f2718,plain,
( e12 = op1(e13,e13)
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f2683,f2717]) ).
fof(f2719,plain,
( e12 = e10
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f264,f2718]) ).
fof(f2720,plain,
( $false
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f2719,f213]) ).
fof(f2721,plain,
~ spl0_143,
inference(contradiction_clause,[status(thm)],[f2720]) ).
fof(f2725,plain,
( op1(e12,e10) = op1(e10,e13)
| ~ spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2683,f1162]) ).
fof(f2726,plain,
( op1(e12,e10) = e12
| ~ spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2683,f2725]) ).
fof(f2730,plain,
e21 != op2(e21,e20),
inference(forward_demodulation,[status(thm)],[f2533,f164]) ).
fof(f2731,plain,
( e21 != e21
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f2714,f2730]) ).
fof(f2732,plain,
( $false
| ~ spl0_145 ),
inference(trivial_equality_resolution,[status(esa)],[f2731]) ).
fof(f2733,plain,
~ spl0_145,
inference(contradiction_clause,[status(thm)],[f2732]) ).
fof(f2737,plain,
op1(e10,e12) != e12,
inference(forward_demodulation,[status(thm)],[f2683,f145]) ).
fof(f2741,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f2530,f2520]) ).
fof(f2742,plain,
( $false
| spl0_302 ),
inference(forward_subsumption_resolution,[status(thm)],[f2741,f1740]) ).
fof(f2743,plain,
spl0_302,
inference(contradiction_clause,[status(thm)],[f2742]) ).
fof(f2744,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f2533,f2522]) ).
fof(f2745,plain,
( $false
| spl0_297 ),
inference(forward_subsumption_resolution,[status(thm)],[f2744,f1720]) ).
fof(f2746,plain,
spl0_297,
inference(contradiction_clause,[status(thm)],[f2745]) ).
fof(f2747,plain,
( op2(op2(e23,e23),e23) = e20
| ~ spl0_160 ),
inference(backward_demodulation,[status(thm)],[f2523,f1232]) ).
fof(f2748,plain,
( op2(e20,e23) = e20
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f2523,f2747]) ).
fof(f2749,plain,
( e22 = e20
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f2530,f2748]) ).
fof(f2750,plain,
( $false
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[status(thm)],[f2749,f219]) ).
fof(f2751,plain,
~ spl0_160,
inference(contradiction_clause,[status(thm)],[f2750]) ).
fof(f2752,plain,
op2(e21,e23) != e20,
inference(backward_demodulation,[status(thm)],[f2523,f186]) ).
fof(f2753,plain,
op2(e22,e23) != e20,
inference(backward_demodulation,[status(thm)],[f2523,f187]) ).
fof(f2754,plain,
op2(e23,e20) != e20,
inference(backward_demodulation,[status(thm)],[f2523,f208]) ).
fof(f2755,plain,
op2(e23,e21) != e20,
inference(backward_demodulation,[status(thm)],[f2523,f210]) ).
fof(f2762,plain,
e11 != op1(e10,e12),
inference(forward_demodulation,[status(thm)],[f2686,f141]) ).
fof(f2763,plain,
( e12 != op1(e12,e11)
| ~ spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2726,f152]) ).
fof(f2765,plain,
( e12 != op1(e12,e12)
| ~ spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2726,f153]) ).
fof(f2769,plain,
( h4(e10) != op2(h4(e13),h4(e13))
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f264,f1510]) ).
fof(f2770,plain,
( e20 != op2(h4(e13),h4(e13))
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f2519,f2769]) ).
fof(f2771,plain,
( e20 != op2(e23,h4(e13))
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f282,f2770]) ).
fof(f2772,plain,
( e20 != op2(e23,e23)
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f282,f2771]) ).
fof(f2773,plain,
( e20 != e20
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f2523,f2772]) ).
fof(f2774,plain,
( $false
| spl0_246 ),
inference(trivial_equality_resolution,[status(esa)],[f2773]) ).
fof(f2775,plain,
spl0_246,
inference(contradiction_clause,[status(thm)],[f2774]) ).
fof(f2786,plain,
( h4(e12) != op2(h4(e12),h4(e10))
| ~ spl0_140
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2726,f1489]) ).
fof(f2787,plain,
( h4(e12) != op2(h4(e12),e20)
| ~ spl0_140
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2519,f2786]) ).
fof(f2789,plain,
( h1(e12) != op2(h1(e10),e20)
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2683,f2180]) ).
fof(f2795,plain,
( e20 != e20
| spl0_259 ),
inference(forward_demodulation,[status(thm)],[f270,f1568]) ).
fof(f2796,plain,
( $false
| spl0_259 ),
inference(trivial_equality_resolution,[status(esa)],[f2795]) ).
fof(f2797,plain,
spl0_259,
inference(contradiction_clause,[status(thm)],[f2796]) ).
fof(f2799,plain,
( h4(e12) != op2(h4(e10),e23)
| spl0_234 ),
inference(forward_demodulation,[status(thm)],[f2683,f2203]) ).
fof(f2800,plain,
( h4(e12) != op2(e20,e23)
| spl0_234 ),
inference(forward_demodulation,[status(thm)],[f2519,f2799]) ).
fof(f2801,plain,
( h4(e12) != e22
| spl0_234 ),
inference(forward_demodulation,[status(thm)],[f2530,f2800]) ).
fof(f2802,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f2519,f2207]) ).
fof(f2809,plain,
( e23 != e23
| spl0_253 ),
inference(forward_demodulation,[status(thm)],[f282,f1534]) ).
fof(f2810,plain,
( $false
| spl0_253 ),
inference(trivial_equality_resolution,[status(esa)],[f2809]) ).
fof(f2811,plain,
spl0_253,
inference(contradiction_clause,[status(thm)],[f2810]) ).
fof(f2814,plain,
e11 != op1(e11,e10),
inference(forward_demodulation,[status(thm)],[f2686,f116]) ).
fof(f2816,plain,
( $false
| spl0_234 ),
inference(forward_subsumption_resolution,[status(thm)],[f2741,f2801]) ).
fof(f2817,plain,
spl0_234,
inference(contradiction_clause,[status(thm)],[f2816]) ).
fof(f2822,plain,
( h4(op1(e11,e11)) != op2(h4(e11),e21)
| spl0_236 ),
inference(backward_demodulation,[status(thm)],[f2744,f1480]) ).
fof(f2823,plain,
( h4(op1(e11,e11)) != op2(e21,e21)
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f2744,f2822]) ).
fof(f2824,plain,
( h4(op1(e13,e11)) != op2(e23,e21)
| spl0_244 ),
inference(backward_demodulation,[status(thm)],[f2744,f2208]) ).
fof(f2825,plain,
( h4(op1(e11,e13)) != op2(e21,e23)
| spl0_238 ),
inference(backward_demodulation,[status(thm)],[f2744,f2204]) ).
fof(f2826,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| spl0_240 ),
inference(backward_demodulation,[status(thm)],[f2744,f1492]) ).
fof(f2829,plain,
( h4(op1(e12,e13)) != op2(e22,e23)
| spl0_242 ),
inference(backward_demodulation,[status(thm)],[f2741,f2206]) ).
fof(f2830,plain,
( h4(e12) != op2(e22,e20)
| ~ spl0_140
| spl0_239 ),
inference(backward_demodulation,[status(thm)],[f2741,f2787]) ).
fof(f2831,plain,
( e22 != op2(e22,e20)
| ~ spl0_140
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2741,f2830]) ).
fof(f2832,plain,
( h4(op1(e10,e12)) != op2(e20,e22)
| spl0_233 ),
inference(backward_demodulation,[status(thm)],[f2741,f2698]) ).
fof(f2833,plain,
( h4(op1(e12,e12)) != op2(h4(e12),e22)
| spl0_241 ),
inference(backward_demodulation,[status(thm)],[f2741,f1495]) ).
fof(f2834,plain,
( h4(op1(e12,e12)) != op2(e22,e22)
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2741,f2833]) ).
fof(f2840,plain,
( h4(e11) != op2(h4(e10),h4(e10))
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2686,f1465]) ).
fof(f2841,plain,
( e21 != op2(h4(e10),h4(e10))
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2744,f2840]) ).
fof(f2842,plain,
( e21 != op2(e20,h4(e10))
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2519,f2841]) ).
fof(f2843,plain,
( e21 != op2(e20,e20)
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2519,f2842]) ).
fof(f2844,plain,
( e21 != e21
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2533,f2843]) ).
fof(f2845,plain,
( $false
| spl0_231 ),
inference(trivial_equality_resolution,[status(esa)],[f2844]) ).
fof(f2846,plain,
spl0_231,
inference(contradiction_clause,[status(thm)],[f2845]) ).
fof(f2854,plain,
( h4(op1(e11,e10)) != op2(e21,h4(e10))
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2744,f1477]) ).
fof(f2855,plain,
( h4(op1(e11,e10)) != op2(e21,e20)
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2519,f2854]) ).
fof(f2856,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f278,f1413]) ).
fof(f2857,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f278,f1425]) ).
fof(f2859,plain,
( e23 = e21
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f2533,f2240]) ).
fof(f2860,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2859,f222]) ).
fof(f2861,plain,
~ spl0_67,
inference(contradiction_clause,[status(thm)],[f2860]) ).
fof(f2862,plain,
( h1(e10) != op2(e20,h1(e13))
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f270,f2699]) ).
fof(f2863,plain,
( h1(e10) != op2(e20,e20)
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f270,f2862]) ).
fof(f2864,plain,
( h1(e10) != e21
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f2533,f2863]) ).
fof(f2865,plain,
h1(e10) = e21,
inference(forward_demodulation,[status(thm)],[f2533,f271]) ).
fof(f2867,plain,
( ~ spl0_73
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f1993,f911,f885]) ).
fof(f2873,plain,
( h2(e10) != op2(e21,h2(e13))
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f274,f2704]) ).
fof(f2874,plain,
( h2(e10) != op2(e21,e21)
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f274,f2873]) ).
fof(f2877,plain,
( h3(e10) = op2(h3(e13),h3(e13))
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f264,f1436]) ).
fof(f2878,plain,
( e23 = op2(h3(e13),h3(e13))
| ~ spl0_107
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f2260,f2877]) ).
fof(f2879,plain,
( e23 = op2(e22,h3(e13))
| ~ spl0_107
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f278,f2878]) ).
fof(f2880,plain,
( e23 = op2(e22,e22)
| ~ spl0_107
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f278,f2879]) ).
fof(f2882,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f2741,f2342]) ).
fof(f2883,plain,
( e20 = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f2519,f2344]) ).
fof(f2884,plain,
( $false
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2883,f218]) ).
fof(f2885,plain,
~ spl0_125,
inference(contradiction_clause,[status(thm)],[f2884]) ).
fof(f2887,plain,
( e10 = e11
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f264,f841]) ).
fof(f2888,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f2887,f212]) ).
fof(f2889,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f2888]) ).
fof(f2890,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f2737]) ).
fof(f2891,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f2890]) ).
fof(f2896,plain,
( e12 != e12
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f2683,f2289]) ).
fof(f2897,plain,
( $false
| ~ spl0_46 ),
inference(trivial_equality_resolution,[status(esa)],[f2896]) ).
fof(f2898,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2897]) ).
fof(f2899,plain,
( e12 = e11
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f2683,f685]) ).
fof(f2900,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f2899,f215]) ).
fof(f2901,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f2900]) ).
fof(f2903,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f2762]) ).
fof(f2904,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2908,plain,
( e12 = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f2683,f691]) ).
fof(f2909,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f2908,f217]) ).
fof(f2910,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f2909]) ).
fof(f2919,plain,
( e20 != op2(h4(e10),h4(e11))
| ~ spl0_4
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2519,f2071]) ).
fof(f2920,plain,
( e20 != op2(e20,h4(e11))
| ~ spl0_4
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2519,f2919]) ).
fof(f2921,plain,
( e20 != op2(e20,e21)
| ~ spl0_4
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2744,f2920]) ).
fof(f2930,plain,
( h4(op1(e11,e12)) != op2(e21,h4(e12))
| spl0_237 ),
inference(forward_demodulation,[status(thm)],[f2744,f1483]) ).
fof(f2931,plain,
( h4(op1(e11,e12)) != op2(e21,e22)
| spl0_237 ),
inference(forward_demodulation,[status(thm)],[f2741,f2930]) ).
fof(f2934,plain,
( h3(e12) = op2(h3(e10),h3(e13))
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2683,f1400]) ).
fof(f2935,plain,
( h3(e12) = op2(e23,h3(e13))
| ~ spl0_107
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2260,f2934]) ).
fof(f2936,plain,
( h3(e12) = op2(e23,e22)
| ~ spl0_107
| ~ spl0_211 ),
inference(forward_demodulation,[status(thm)],[f278,f2935]) ).
fof(f2946,plain,
( op2(e20,e21) != e20
| ~ spl0_100 ),
inference(backward_demodulation,[status(thm)],[f1000,f171]) ).
fof(f2947,plain,
( ~ spl0_68
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f2946,f895,f999]) ).
fof(f2953,plain,
( op2(op2(e21,e22),e21) = e21
| ~ spl0_89
| ~ spl0_154 ),
inference(backward_demodulation,[status(thm)],[f964,f1213]) ).
fof(f2954,plain,
( op2(e21,e21) = e21
| ~ spl0_89
| ~ spl0_154 ),
inference(forward_demodulation,[status(thm)],[f964,f2953]) ).
fof(f2963,plain,
( op2(op2(e21,e21),e21) = e22
| ~ spl0_86
| ~ spl0_150 ),
inference(backward_demodulation,[status(thm)],[f954,f1200]) ).
fof(f2964,plain,
( op2(e22,e21) = e22
| ~ spl0_86
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f954,f2963]) ).
fof(f2968,plain,
( op2(op2(e23,e22),e23) = e22
| ~ spl0_122
| ~ spl0_156 ),
inference(backward_demodulation,[status(thm)],[f1071,f1219]) ).
fof(f2969,plain,
( op2(e22,e23) = e22
| ~ spl0_122
| ~ spl0_156 ),
inference(forward_demodulation,[status(thm)],[f1071,f2968]) ).
fof(f2970,plain,
( $false
| ~ spl0_122
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[status(thm)],[f2969,f2690]) ).
fof(f2971,plain,
( ~ spl0_122
| ~ spl0_156 ),
inference(contradiction_clause,[status(thm)],[f2970]) ).
fof(f2973,plain,
( op2(e22,e22) != e22
| ~ spl0_122 ),
inference(backward_demodulation,[status(thm)],[f1071,f181]) ).
fof(f2974,plain,
( ~ spl0_106
| ~ spl0_122 ),
inference(split_clause,[status(thm)],[f2973,f1018,f1070]) ).
fof(f2975,plain,
( op2(e23,e20) != e22
| ~ spl0_122 ),
inference(backward_demodulation,[status(thm)],[f1071,f207]) ).
fof(f2979,plain,
( ~ spl0_86
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f2032,f953,f1005]) ).
fof(f2981,plain,
( ~ spl0_118
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f2031,f1057,f1005]) ).
fof(f2986,plain,
( $false
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1026,f2753]) ).
fof(f2987,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f2986]) ).
fof(f2988,plain,
( op1(e11,e10) = op1(e10,e10)
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f2686,f1123]) ).
fof(f2989,plain,
( op1(e11,e10) = e11
| ~ spl0_128 ),
inference(forward_demodulation,[status(thm)],[f2686,f2988]) ).
fof(f2990,plain,
( $false
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[status(thm)],[f2989,f2814]) ).
fof(f2991,plain,
~ spl0_128,
inference(contradiction_clause,[status(thm)],[f2990]) ).
fof(f2995,plain,
( ~ spl0_85
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f2055,f950,f963]) ).
fof(f3000,plain,
( op2(e22,e20) != e23
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f1048,f169]) ).
fof(f3001,plain,
( ~ spl0_99
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f3000,f995,f1047]) ).
fof(f3002,plain,
( h4(op1(e13,e10)) != e23
| ~ spl0_115
| spl0_243 ),
inference(backward_demodulation,[status(thm)],[f1048,f2802]) ).
fof(f3003,plain,
( op2(e21,e20) != e23
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f1048,f168]) ).
fof(f3005,plain,
( op2(op2(e23,e20),e23) = e23
| ~ spl0_115
| ~ spl0_148 ),
inference(backward_demodulation,[status(thm)],[f1048,f1193]) ).
fof(f3006,plain,
( op2(e23,e23) = e23
| ~ spl0_115
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1048,f3005]) ).
fof(f3007,plain,
( e20 = e23
| ~ spl0_115
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f2523,f3006]) ).
fof(f3008,plain,
( $false
| ~ spl0_115
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[status(thm)],[f3007,f220]) ).
fof(f3009,plain,
( ~ spl0_115
| ~ spl0_148 ),
inference(contradiction_clause,[status(thm)],[f3008]) ).
fof(f3010,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f915,f2696]) ).
fof(f3011,plain,
~ spl0_74,
inference(contradiction_clause,[status(thm)],[f3010]) ).
fof(f3012,plain,
( h2(e11) = op2(h2(e10),h2(e10))
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2686,f1318]) ).
fof(f3013,plain,
( e20 = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f2523,f1087]) ).
fof(f3014,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f3013,f220]) ).
fof(f3015,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f3014]) ).
fof(f3016,plain,
( ~ spl0_87
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2402,f956,f1060]) ).
fof(f3020,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1052,f2755]) ).
fof(f3021,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f3020]) ).
fof(f3022,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f278,f1428]) ).
fof(f3024,plain,
h1(e11) = op2(h1(e10),e21),
inference(backward_demodulation,[status(thm)],[f2865,f2186]) ).
fof(f3025,plain,
h1(e11) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f2865,f3024]) ).
fof(f3026,plain,
h1(e12) = op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f2865,f2187]) ).
fof(f3027,plain,
h2(e10) != op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f275,f173]) ).
fof(f3028,plain,
h2(e10) != op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f275,f197]) ).
fof(f3029,plain,
op2(e21,e20) != h2(e10),
inference(forward_demodulation,[status(thm)],[f275,f194]) ).
fof(f3030,plain,
op2(e20,e21) != h2(e10),
inference(forward_demodulation,[status(thm)],[f275,f170]) ).
fof(f3031,plain,
h2(e10) != op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f275,f174]) ).
fof(f3032,plain,
h2(e10) != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f275,f198]) ).
fof(f3033,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| spl0_240 ),
inference(forward_demodulation,[status(thm)],[f2741,f2826]) ).
fof(f3034,plain,
( h1(op1(e13,e10)) != op2(e20,e21)
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f2865,f2183]) ).
fof(f3035,plain,
( h1(op1(e10,e12)) != op2(e21,h1(e12))
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2865,f1252]) ).
fof(f3047,plain,
( op1(op1(e13,e10),e13) = e13
| ~ spl0_51
| ~ spl0_131 ),
inference(backward_demodulation,[status(thm)],[f808,f1132]) ).
fof(f3048,plain,
( op1(e13,e13) = e13
| ~ spl0_51
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f808,f3047]) ).
fof(f3049,plain,
( e10 = e13
| ~ spl0_51
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f264,f3048]) ).
fof(f3050,plain,
( $false
| ~ spl0_51
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[status(thm)],[f3049,f214]) ).
fof(f3051,plain,
( ~ spl0_51
| ~ spl0_131 ),
inference(contradiction_clause,[status(thm)],[f3050]) ).
fof(f3056,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e21)
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2865,f1270]) ).
fof(f3058,plain,
( op1(e12,e10) != e13
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f795,f154]) ).
fof(f3067,plain,
( op1(e12,e11) != e13
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f795,f156]) ).
fof(f3068,plain,
( op1(op1(e12,e13),e12) = e13
| ~ spl0_47
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f795,f1168]) ).
fof(f3069,plain,
( op1(e13,e12) = e13
| ~ spl0_47
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f795,f3068]) ).
fof(f3070,plain,
( op1(e11,e13) != e13
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f795,f137]) ).
fof(f3074,plain,
( e13 != op1(e12,e11)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f717,f125]) ).
fof(f3088,plain,
( op1(op1(e12,e12),e12) = e11
| ~ spl0_41
| ~ spl0_138 ),
inference(backward_demodulation,[status(thm)],[f776,f1155]) ).
fof(f3089,plain,
( op1(e11,e12) = e11
| ~ spl0_41
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f776,f3088]) ).
fof(f3090,plain,
( e11 != op1(e13,e12)
| ~ spl0_41 ),
inference(backward_demodulation,[status(thm)],[f776,f133]) ).
fof(f3099,plain,
( op1(op1(e11,e13),e11) = e11
| ~ spl0_29
| ~ spl0_141 ),
inference(backward_demodulation,[status(thm)],[f737,f1165]) ).
fof(f3100,plain,
( op1(e11,e11) = e11
| ~ spl0_29
| ~ spl0_141 ),
inference(forward_demodulation,[status(thm)],[f737,f3099]) ).
fof(f3100_001,plain,
( op1(e11,e11) = e11
| ~ spl0_29
| ~ spl0_141 ),
inference(forward_demodulation,[status(thm)],[f737,f3099]) ).
fof(f3101,plain,
( e13 = e11
| ~ spl0_23
| ~ spl0_29
| ~ spl0_141 ),
inference(forward_demodulation,[status(thm)],[f717,f3100]) ).
fof(f3102,plain,
( $false
| ~ spl0_23
| ~ spl0_29
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[status(thm)],[f3101,f216]) ).
fof(f3103,plain,
( ~ spl0_23
| ~ spl0_29
| ~ spl0_141 ),
inference(contradiction_clause,[status(thm)],[f3102]) ).
fof(f3123,plain,
( h1(e13) != op2(e21,h1(e12))
| ~ spl0_11
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f678,f3035]) ).
fof(f3124,plain,
( e20 != op2(e21,h1(e12))
| ~ spl0_11
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f270,f3123]) ).
fof(f3128,plain,
( op1(op1(e10,e12),e10) = e13
| ~ spl0_11
| ~ spl0_136 ),
inference(backward_demodulation,[status(thm)],[f678,f1149]) ).
fof(f3129,plain,
( op1(e13,e10) = e13
| ~ spl0_11
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f678,f3128]) ).
fof(f3137,plain,
( op1(e11,e10) != e10
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f721,f147]) ).
fof(f3139,plain,
( h1(e11) != op2(e21,h1(e10))
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f2865,f2058]) ).
fof(f3140,plain,
( h1(e11) != op2(e21,e21)
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f2865,f3139]) ).
fof(f3141,plain,
( h1(e11) != h2(e10)
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f275,f3140]) ).
fof(f3147,plain,
( op1(e11,e10) != e10
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f747,f119]) ).
fof(f3151,plain,
( op1(op1(e13,e12),e13) = e12
| ~ spl0_58
| ~ spl0_139 ),
inference(backward_demodulation,[status(thm)],[f831,f1158]) ).
fof(f3152,plain,
( op1(e12,e13) = e12
| ~ spl0_58
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f831,f3151]) ).
fof(f3152_002,plain,
( op1(e12,e13) = e12
| ~ spl0_58
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f831,f3151]) ).
fof(f3153,plain,
( e13 = e12
| ~ spl0_47
| ~ spl0_58
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f795,f3152]) ).
fof(f3154,plain,
( $false
| ~ spl0_47
| ~ spl0_58
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[status(thm)],[f3153,f217]) ).
fof(f3155,plain,
( ~ spl0_47
| ~ spl0_58
| ~ spl0_139 ),
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3157,plain,
( op1(e13,e11) != e12
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f831,f161]) ).
fof(f3158,plain,
( op1(e12,e13) != op1(e13,e12)
| ~ spl0_58
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f831,f1159]) ).
fof(f3164,plain,
( h2(e11) != op2(e21,h2(e11))
| ~ spl0_53
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f815,f2192]) ).
fof(f3166,plain,
( op1(op1(e13,e11),e13) = e11
| ~ spl0_53
| ~ spl0_135 ),
inference(backward_demodulation,[status(thm)],[f815,f1145]) ).
fof(f3167,plain,
( op1(e11,e13) = e11
| ~ spl0_53
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f815,f3166]) ).
fof(f3169,plain,
op2(e21,e22) != h3(e10),
inference(backward_demodulation,[status(thm)],[f279,f179]) ).
fof(f3170,plain,
h3(e10) != op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f279,f181]) ).
fof(f3172,plain,
( op2(op2(e22,e22),e22) = h3(e10)
| ~ spl0_155 ),
inference(backward_demodulation,[status(thm)],[f279,f1216]) ).
fof(f3173,plain,
( op2(h3(e10),e22) = h3(e10)
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f279,f3172]) ).
fof(f3174,plain,
( h3(e12) = h3(e10)
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f2200,f3173]) ).
fof(f3177,plain,
h3(e10) != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f279,f205]) ).
fof(f3178,plain,
h1(e11) = h2(e10),
inference(forward_demodulation,[status(thm)],[f275,f3025]) ).
fof(f3179,plain,
( $false
| ~ spl0_1
| spl0_162 ),
inference(forward_subsumption_resolution,[status(thm)],[f3178,f3141]) ).
fof(f3180,plain,
( ~ spl0_1
| spl0_162 ),
inference(contradiction_clause,[status(thm)],[f3179]) ).
fof(f3186,plain,
h1(e12) != h2(e10),
inference(backward_demodulation,[status(thm)],[f3026,f3029]) ).
fof(f3187,plain,
h1(e12) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f3026,f195]) ).
fof(f3188,plain,
( op2(op2(e21,e20),e21) = h1(e12)
| ~ spl0_146 ),
inference(backward_demodulation,[status(thm)],[f3026,f1187]) ).
fof(f3189,plain,
( op2(h1(e12),e21) = h1(e12)
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f3026,f3188]) ).
fof(f3190,plain,
( h4(op1(e11,e10)) != h1(e12)
| spl0_235 ),
inference(backward_demodulation,[status(thm)],[f3026,f2855]) ).
fof(f3192,plain,
h1(e12) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f3026,f167]) ).
fof(f3196,plain,
h1(e11) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f3178,f3032]) ).
fof(f3197,plain,
h1(e11) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f3178,f3031]) ).
fof(f3198,plain,
op2(e20,e21) != h1(e11),
inference(backward_demodulation,[status(thm)],[f3178,f3030]) ).
fof(f3199,plain,
h1(e11) != op2(e21,e22),
inference(backward_demodulation,[status(thm)],[f3178,f3028]) ).
fof(f3200,plain,
h1(e11) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f3178,f3027]) ).
fof(f3201,plain,
h1(e11) = op2(e21,e21),
inference(backward_demodulation,[status(thm)],[f3178,f275]) ).
fof(f3202,plain,
h2(e11) = op2(h2(e10),h1(e11)),
inference(backward_demodulation,[status(thm)],[f3178,f2194]) ).
fof(f3203,plain,
h2(e11) = op2(h1(e11),h1(e11)),
inference(forward_demodulation,[status(thm)],[f3178,f3202]) ).
fof(f3204,plain,
h2(e12) = op2(h1(e11),e21),
inference(backward_demodulation,[status(thm)],[f3178,f2195]) ).
fof(f3205,plain,
h1(e12) != h1(e11),
inference(forward_demodulation,[status(thm)],[f3178,f3186]) ).
fof(f3209,plain,
( h3(e11) != h3(e11)
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f2686,f2214]) ).
fof(f3210,plain,
( $false
| spl0_208 ),
inference(trivial_equality_resolution,[status(esa)],[f3209]) ).
fof(f3211,plain,
spl0_208,
inference(contradiction_clause,[status(thm)],[f3210]) ).
fof(f3214,plain,
( e20 = op2(h1(e11),h1(e11))
| ~ spl0_269 ),
inference(backward_demodulation,[status(thm)],[f1607,f3203]) ).
fof(f3239,plain,
( op2(op2(e22,e20),e22) = e20
| ~ spl0_96
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f987,f1190]) ).
fof(f3240,plain,
( op2(e20,e22) = e20
| ~ spl0_96
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f987,f3239]) ).
fof(f3261,plain,
( op1(e10,e10) = op1(e10,e11)
| ~ spl0_4
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f656,f1136]) ).
fof(f3262,plain,
( e11 = op1(e10,e11)
| ~ spl0_4
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f2686,f3261]) ).
fof(f3263,plain,
( e11 = e10
| ~ spl0_4
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f656,f3262]) ).
fof(f3264,plain,
( $false
| ~ spl0_4
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[status(thm)],[f3263,f212]) ).
fof(f3265,plain,
( ~ spl0_4
| ~ spl0_132 ),
inference(contradiction_clause,[status(thm)],[f3264]) ).
fof(f3266,plain,
( h3(e10) != op2(e22,h3(e13))
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f278,f2708]) ).
fof(f3267,plain,
( h3(e10) != op2(e22,e22)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f278,f3266]) ).
fof(f3268,plain,
( h3(e10) != h3(e10)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f279,f3267]) ).
fof(f3269,plain,
( $false
| spl0_223 ),
inference(trivial_equality_resolution,[status(esa)],[f3268]) ).
fof(f3270,plain,
spl0_223,
inference(contradiction_clause,[status(thm)],[f3269]) ).
fof(f3271,plain,
( h3(e12) != op2(h3(e10),h3(e13))
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2683,f1401]) ).
fof(f3272,plain,
( h3(e12) != op2(h3(e10),e22)
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f278,f3271]) ).
fof(f3273,plain,
( h3(e12) != h3(e12)
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2200,f3272]) ).
fof(f3274,plain,
( $false
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f3273]) ).
fof(f3275,plain,
spl0_211,
inference(contradiction_clause,[status(thm)],[f3274]) ).
fof(f3276,plain,
( h1(e12) != op2(e21,e20)
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2865,f2789]) ).
fof(f3277,plain,
( h1(e12) != h1(e12)
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f3026,f3276]) ).
fof(f3278,plain,
( $false
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f3277]) ).
fof(f3279,plain,
spl0_165,
inference(contradiction_clause,[status(thm)],[f3278]) ).
fof(f3280,plain,
( $false
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f2692]) ).
fof(f3281,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f3280]) ).
fof(f3282,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f974,f2752]) ).
fof(f3283,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f3282]) ).
fof(f3284,plain,
( e12 = e10
| ~ spl0_58
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f831,f825]) ).
fof(f3285,plain,
( $false
| ~ spl0_58
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f3284,f213]) ).
fof(f3286,plain,
( ~ spl0_58
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f3285]) ).
fof(f3287,plain,
( e13 = e12
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f808,f805]) ).
fof(f3288,plain,
( $false
| ~ spl0_51
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f3287,f217]) ).
fof(f3289,plain,
( ~ spl0_51
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f3288]) ).
fof(f3308,plain,
( h1(e12) != op2(h1(e12),e21)
| ~ spl0_34
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2865,f2147]) ).
fof(f3313,plain,
( e10 != op1(e12,e12)
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f721,f131]) ).
fof(f3326,plain,
( h1(e12) = e20
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f3026,f935]) ).
fof(f3327,plain,
( $false
| spl0_258
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f3326,f1564]) ).
fof(f3328,plain,
( spl0_258
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f3327]) ).
fof(f3332,plain,
( spl0_59
| ~ spl0_47
| ~ spl0_142 ),
inference(split_clause,[status(thm)],[f3069,f833,f794,f1167]) ).
fof(f3333,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f3070,f742,f794]) ).
fof(f3334,plain,
( ~ spl0_31
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2634,f742,f703]) ).
fof(f3337,plain,
( spl0_51
| ~ spl0_11
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f3129,f807,f677,f1148]) ).
fof(f3339,plain,
( e10 = e12
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f721,f727]) ).
fof(f3340,plain,
( $false
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f3339,f213]) ).
fof(f3341,plain,
( ~ spl0_24
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f3340]) ).
fof(f3343,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2595,f655,f759]) ).
fof(f3346,plain,
( h1(e12) != e20
| ~ spl0_88 ),
inference(backward_demodulation,[status(thm)],[f961,f3187]) ).
fof(f3347,plain,
( ~ spl0_258
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f3346,f1562,f960]) ).
fof(f3348,plain,
( h1(e12) != e20
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f987,f3192]) ).
fof(f3349,plain,
( ~ spl0_258
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f3348,f1562,f986]) ).
fof(f3350,plain,
( e20 != op2(e21,h2(e11))
| ~ spl0_269
| ~ spl0_53
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f1607,f3164]) ).
fof(f3351,plain,
( e20 != op2(e21,e20)
| ~ spl0_269
| ~ spl0_53
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f1607,f3350]) ).
fof(f3352,plain,
( e20 != h1(e12)
| ~ spl0_269
| ~ spl0_53
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f3026,f3351]) ).
fof(f3353,plain,
( spl0_29
| ~ spl0_53
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f3167,f736,f814,f1144]) ).
fof(f3354,plain,
( ~ spl0_54
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f3157,f817,f830]) ).
fof(f3355,plain,
( e10 = e13
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f656,f665]) ).
fof(f3356,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f3355,f214]) ).
fof(f3357,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f3356]) ).
fof(f3358,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2568,f677,f729]) ).
fof(f3365,plain,
( ~ spl0_57
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2343,f827,f723]) ).
fof(f3370,plain,
( ~ spl0_39
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f3067,f768,f794]) ).
fof(f3372,plain,
( ~ spl0_39
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f3074,f768,f716]) ).
fof(f3381,plain,
( e10 = e12
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f656,f662]) ).
fof(f3382,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f3381,f213]) ).
fof(f3383,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f3382]) ).
fof(f3384,plain,
( h1(e11) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f3201,f948]) ).
fof(f3385,plain,
( $false
| spl0_257
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f3384,f1560]) ).
fof(f3386,plain,
( spl0_257
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f3385]) ).
fof(f3387,plain,
( e20 != e20
| ~ spl0_88
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f961,f2014]) ).
fof(f3388,plain,
( $false
| ~ spl0_88
| ~ spl0_72 ),
inference(trivial_equality_resolution,[status(esa)],[f3387]) ).
fof(f3389,plain,
( ~ spl0_88
| ~ spl0_72 ),
inference(contradiction_clause,[status(thm)],[f3388]) ).
fof(f3390,plain,
( ~ spl0_18
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2153,f700,f752]) ).
fof(f3391,plain,
( ~ spl0_38
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2178,f765,f713]) ).
fof(f3393,plain,
( ~ spl0_30
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2158,f739,f713]) ).
fof(f3394,plain,
( ~ spl0_26
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f2159,f726,f713]) ).
fof(f3395,plain,
( ~ spl0_34
| ~ spl0_38 ),
inference(split_clause,[status(thm)],[f2122,f752,f765]) ).
fof(f3397,plain,
( spl0_46
| ~ spl0_58
| ~ spl0_139 ),
inference(split_clause,[status(thm)],[f3152,f791,f830,f1157]) ).
fof(f3402,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f3147,f694,f746]) ).
fof(f3403,plain,
( op2(h1(e11),e21) = op2(e21,e21)
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f3201,f1200]) ).
fof(f3404,plain,
( h2(e12) = op2(e21,e21)
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f3204,f3403]) ).
fof(f3405,plain,
( h2(e12) = h1(e11)
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f3201,f3404]) ).
fof(f3409,plain,
( h3(e10) = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f279,f1016]) ).
fof(f3410,plain,
( e21 != op2(e22,e23)
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f3409,f3177]) ).
fof(f3411,plain,
( ~ spl0_109
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f3410,f1028,f1015]) ).
fof(f3414,plain,
( e21 != op2(e23,e22)
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f3409,f3170]) ).
fof(f3415,plain,
( ~ spl0_121
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f3414,f1067,f1015]) ).
fof(f3427,plain,
( ~ spl0_114
| ~ spl0_122 ),
inference(split_clause,[status(thm)],[f2975,f1044,f1070]) ).
fof(f3436,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f2693]) ).
fof(f3437,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f3436]) ).
fof(f3438,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f2754]) ).
fof(f3439,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f3438]) ).
fof(f3441,plain,
( e20 = e23
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f987,f996]) ).
fof(f3442,plain,
( $false
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f3441,f220]) ).
fof(f3443,plain,
( ~ spl0_96
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f3442]) ).
fof(f3444,plain,
( h1(e11) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f3201,f954]) ).
fof(f3445,plain,
( $false
| spl0_265
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f3444,f1592]) ).
fof(f3446,plain,
( spl0_265
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f3445]) ).
fof(f3447,plain,
( spl0_102
| ~ spl0_86
| ~ spl0_150 ),
inference(split_clause,[status(thm)],[f2964,f1005,f953,f1199]) ).
fof(f3454,plain,
( ~ spl0_51
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2106,f807,f833]) ).
fof(f3460,plain,
( ~ spl0_11
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2146,f677,f833]) ).
fof(f3462,plain,
( h1(e12) = e23
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f3026,f944]) ).
fof(f3463,plain,
( $false
| spl0_183
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f3462,f1311]) ).
fof(f3464,plain,
( spl0_183
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f3463]) ).
fof(f3465,plain,
( ~ spl0_45
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f2259,f788,f736]) ).
fof(f3468,plain,
( ~ spl0_40
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f3313,f772,f720]) ).
fof(f3469,plain,
( spl0_34
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f2726,f752,f1161]) ).
fof(f3470,plain,
( ~ spl0_38
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f2763,f765,f1161]) ).
fof(f3482,plain,
( ~ spl0_23
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f2528,f716,f820]) ).
fof(f3486,plain,
( e11 = e10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f2686,f643]) ).
fof(f3487,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f3486,f212]) ).
fof(f3488,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f3487]) ).
fof(f3491,plain,
( ~ spl0_68
| ~ spl0_4
| spl0_232 ),
inference(split_clause,[status(thm)],[f2921,f895,f655,f1466]) ).
fof(f3499,plain,
( op1(e12,e10) != op1(e10,e13)
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2683,f1163]) ).
fof(f3500,plain,
( op1(e12,e10) != e12
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2683,f3499]) ).
fof(f3503,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f3100,f710,f736,f1164]) ).
fof(f3504,plain,
( h1(e11) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f3201,f951]) ).
fof(f3505,plain,
( $false
| spl0_261
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f3504,f1576]) ).
fof(f3506,plain,
( spl0_261
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f3505]) ).
fof(f3507,plain,
( e23 = h1(e11)
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f3201,f2257]) ).
fof(f3508,plain,
( $false
| spl0_182
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f3507,f1307]) ).
fof(f3509,plain,
( spl0_182
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f3508]) ).
fof(f3512,plain,
( ~ spl0_258
| ~ spl0_269
| ~ spl0_53
| spl0_198 ),
inference(split_clause,[status(thm)],[f3352,f1562,f1606,f814,f1356]) ).
fof(f3513,plain,
( h2(e11) = op2(h1(e11),h2(e10))
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f3178,f3012]) ).
fof(f3514,plain,
( h2(e11) = op2(h1(e11),h1(e11))
| ~ spl0_185 ),
inference(forward_demodulation,[status(thm)],[f3178,f3513]) ).
fof(f3517,plain,
( h1(e11) != e23
| spl0_204 ),
inference(backward_demodulation,[status(thm)],[f3178,f1376]) ).
fof(f3518,plain,
( ~ spl0_182
| spl0_204 ),
inference(split_clause,[status(thm)],[f3517,f1305,f1374]) ).
fof(f3519,plain,
( h2(op1(e13,e11)) = op2(e21,h2(e11))
| ~ spl0_198 ),
inference(forward_demodulation,[status(thm)],[f274,f1357]) ).
fof(f3520,plain,
( h1(e11) = e23
| ~ spl0_204 ),
inference(forward_demodulation,[status(thm)],[f3178,f1375]) ).
fof(f3521,plain,
( h1(e11) != e21
| ~ spl0_93 ),
inference(backward_demodulation,[status(thm)],[f977,f3196]) ).
fof(f3522,plain,
( ~ spl0_261
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f3521,f1574,f976]) ).
fof(f3526,plain,
( op2(op2(e21,e23),e21) = e21
| ~ spl0_93
| ~ spl0_158 ),
inference(backward_demodulation,[status(thm)],[f977,f1226]) ).
fof(f3527,plain,
( op2(e21,e21) = e21
| ~ spl0_93
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f977,f3526]) ).
fof(f3528,plain,
( h1(e11) = e21
| ~ spl0_93
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f3201,f3527]) ).
fof(f3530,plain,
( h1(e12) = e22
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f3026,f941]) ).
fof(f3531,plain,
( $false
| spl0_266
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f3530,f1596]) ).
fof(f3532,plain,
( spl0_266
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f3531]) ).
fof(f3533,plain,
( h1(e12) != e23
| spl0_83 ),
inference(forward_demodulation,[status(thm)],[f3026,f945]) ).
fof(f3534,plain,
( h1(e12) != e23
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f3026,f3003]) ).
fof(f3535,plain,
( h1(e12) != e22
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f3026,f2045]) ).
fof(f3539,plain,
( h3(e13) != op2(h3(e10),h3(e12))
| ~ spl0_11
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f678,f1398]) ).
fof(f3540,plain,
( e22 != op2(h3(e10),h3(e12))
| ~ spl0_11
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f278,f3539]) ).
fof(f3541,plain,
( h1(op1(e12,e10)) != h1(e12)
| ~ spl0_146
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3189,f3056]) ).
fof(f3545,plain,
( op2(op2(e22,e23),e22) = e23
| ~ spl0_111
| ~ spl0_159 ),
inference(backward_demodulation,[status(thm)],[f1035,f1229]) ).
fof(f3546,plain,
( op2(e23,e22) = e23
| ~ spl0_111
| ~ spl0_159 ),
inference(forward_demodulation,[status(thm)],[f1035,f3545]) ).
fof(f3552,plain,
( op1(e12,e12) != e13
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f795,f157]) ).
fof(f3566,plain,
( h3(e10) != op2(h3(e10),h3(e11))
| ~ spl0_4
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f656,f1395]) ).
fof(f3569,plain,
( e10 != op1(e12,e12)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f747,f153]) ).
fof(f3570,plain,
( ~ spl0_40
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f3569,f772,f746]) ).
fof(f3578,plain,
( e10 != op1(e13,e11)
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f656,f124]) ).
fof(f3581,plain,
( h3(e10) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f1019,f279]) ).
fof(f3586,plain,
( op2(e21,e22) != e22
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f3581,f3169]) ).
fof(f3587,plain,
( ~ spl0_90
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f3586,f966,f1018]) ).
fof(f3592,plain,
( h3(e11) = op2(e22,h3(e10))
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f3581,f2199]) ).
fof(f3593,plain,
( h3(e11) = op2(e22,e22)
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f3581,f3592]) ).
fof(f3594,plain,
( h3(e11) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f1019,f3593]) ).
fof(f3595,plain,
( $false
| spl0_289
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f3594,f1688]) ).
fof(f3596,plain,
( spl0_289
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f3595]) ).
fof(f3602,plain,
( op2(e22,e20) != e23
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f1035,f202]) ).
fof(f3627,plain,
( e20 != op2(e22,e21)
| ~ spl0_257 ),
inference(backward_demodulation,[status(thm)],[f1559,f3200]) ).
fof(f3628,plain,
( ~ spl0_100
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f3627,f999,f1558]) ).
fof(f3630,plain,
( h1(e12) != e20
| ~ spl0_257 ),
inference(backward_demodulation,[status(thm)],[f1559,f3205]) ).
fof(f3631,plain,
( ~ spl0_258
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f3630,f1562,f1558]) ).
fof(f3639,plain,
( e12 != op1(e11,e13)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f701,f148]) ).
fof(f3640,plain,
( ~ spl0_30
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f3639,f739,f700]) ).
fof(f3642,plain,
( op1(op1(e11,e10),e11) = e12
| ~ spl0_18
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f701,f1126]) ).
fof(f3643,plain,
( op1(e12,e11) = e12
| ~ spl0_18
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f701,f3642]) ).
fof(f3646,plain,
( e10 != op1(e12,e13)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f747,f154]) ).
fof(f3650,plain,
( op2(op2(e20,e22),e20) = e20
| ~ spl0_72
| ~ spl0_153 ),
inference(backward_demodulation,[status(thm)],[f909,f1210]) ).
fof(f3651,plain,
( op2(e20,e20) = e20
| ~ spl0_72
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f909,f3650]) ).
fof(f3652,plain,
( e21 = e20
| ~ spl0_72
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2533,f3651]) ).
fof(f3653,plain,
( $false
| ~ spl0_72
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[status(thm)],[f3652,f218]) ).
fof(f3654,plain,
( ~ spl0_72
| ~ spl0_153 ),
inference(contradiction_clause,[status(thm)],[f3653]) ).
fof(f3667,plain,
( op1(op1(e11,e11),e11) = e13
| ~ spl0_23
| ~ spl0_133 ),
inference(backward_demodulation,[status(thm)],[f717,f1139]) ).
fof(f3668,plain,
( op1(e13,e11) = e13
| ~ spl0_23
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f717,f3667]) ).
fof(f3670,plain,
( e13 != op1(e11,e13)
| ~ spl0_23 ),
inference(backward_demodulation,[status(thm)],[f717,f150]) ).
fof(f3671,plain,
( ~ spl0_31
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f3670,f742,f716]) ).
fof(f3675,plain,
( e12 = e13
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f766,f769]) ).
fof(f3676,plain,
( $false
| ~ spl0_38
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f3675,f217]) ).
fof(f3677,plain,
( ~ spl0_38
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f3676]) ).
fof(f3685,plain,
( h1(op1(e12,e12)) != op2(h1(e12),e20)
| ~ spl0_80
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f3326,f1276]) ).
fof(f3686,plain,
( h1(op1(e12,e12)) != op2(e20,e20)
| ~ spl0_80
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f3326,f3685]) ).
fof(f3687,plain,
( h1(op1(e12,e12)) != e21
| ~ spl0_80
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2533,f3686]) ).
fof(f3688,plain,
( op2(h1(e12),e21) = e20
| ~ spl0_80
| ~ spl0_146 ),
inference(backward_demodulation,[status(thm)],[f3326,f3189]) ).
fof(f3689,plain,
( op2(e20,e21) = e20
| ~ spl0_80
| ~ spl0_146 ),
inference(forward_demodulation,[status(thm)],[f3326,f3688]) ).
fof(f3693,plain,
( $false
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f2694]) ).
fof(f3694,plain,
~ spl0_97,
inference(contradiction_clause,[status(thm)],[f3693]) ).
fof(f3701,plain,
( e23 != op2(e22,e21)
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f905,f171]) ).
fof(f3702,plain,
( ~ spl0_103
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f3701,f1008,f904]) ).
fof(f3703,plain,
( spl0_123
| ~ spl0_111
| ~ spl0_159 ),
inference(split_clause,[status(thm)],[f3546,f1073,f1034,f1228]) ).
fof(f3704,plain,
( spl0_68
| ~ spl0_80
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f3689,f895,f934,f1186]) ).
fof(f3709,plain,
( e23 = e22
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f905,f902]) ).
fof(f3710,plain,
( $false
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f3709,f223]) ).
fof(f3711,plain,
( ~ spl0_71
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f3710]) ).
fof(f3717,plain,
( op2(e23,e21) != e21
| ~ spl0_121 ),
inference(backward_demodulation,[status(thm)],[f1068,f209]) ).
fof(f3752,plain,
( e23 != h1(e11)
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f905,f3198]) ).
fof(f3771,plain,
( h4(e11) != op2(e22,e23)
| ~ spl0_45
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f789,f2829]) ).
fof(f3772,plain,
( e21 != op2(e22,e23)
| ~ spl0_45
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2744,f3771]) ).
fof(f3773,plain,
( e21 != e21
| ~ spl0_109
| ~ spl0_45
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f1029,f3772]) ).
fof(f3774,plain,
( $false
| ~ spl0_109
| ~ spl0_45
| spl0_242 ),
inference(trivial_equality_resolution,[status(esa)],[f3773]) ).
fof(f3775,plain,
( ~ spl0_109
| ~ spl0_45
| spl0_242 ),
inference(contradiction_clause,[status(thm)],[f3774]) ).
fof(f3776,plain,
( h4(e11) = op2(h4(e12),h4(e13))
| ~ spl0_45
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f789,f1497]) ).
fof(f3777,plain,
( e21 = op2(h4(e12),h4(e13))
| ~ spl0_45
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2744,f3776]) ).
fof(f3778,plain,
( e21 = op2(e22,h4(e13))
| ~ spl0_45
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2741,f3777]) ).
fof(f3779,plain,
( e21 = op2(e22,e23)
| ~ spl0_45
| ~ spl0_242 ),
inference(forward_demodulation,[status(thm)],[f282,f3778]) ).
fof(f3780,plain,
( h4(e13) != op2(e20,e22)
| ~ spl0_11
| spl0_233 ),
inference(forward_demodulation,[status(thm)],[f678,f2832]) ).
fof(f3781,plain,
( e23 != op2(e20,e22)
| ~ spl0_11
| spl0_233 ),
inference(forward_demodulation,[status(thm)],[f282,f3780]) ).
fof(f3816,plain,
( h1(op1(e11,e12)) != op2(e21,h1(e12))
| ~ spl0_85
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f3504,f1264]) ).
fof(f3818,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f2691]) ).
fof(f3819,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f3818]) ).
fof(f3821,plain,
( e22 = h4(e10)
| ~ spl0_289
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f1687,f2266]) ).
fof(f3822,plain,
( e22 = e20
| ~ spl0_289
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f2519,f3821]) ).
fof(f3823,plain,
( $false
| ~ spl0_289
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f3822,f219]) ).
fof(f3824,plain,
( ~ spl0_289
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f3823]) ).
fof(f3826,plain,
( e21 = e23
| ~ spl0_109
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f1029,f1035]) ).
fof(f3827,plain,
( $false
| ~ spl0_109
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f3826,f222]) ).
fof(f3828,plain,
( ~ spl0_109
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f3827]) ).
fof(f3834,plain,
( ~ spl0_75
| ~ spl0_11
| spl0_233 ),
inference(split_clause,[status(thm)],[f3781,f917,f677,f1469]) ).
fof(f3835,plain,
( spl0_72
| ~ spl0_96
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f3240,f908,f986,f1189]) ).
fof(f3836,plain,
( e22 = e21
| ~ spl0_106
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f3581,f3409]) ).
fof(f3837,plain,
( $false
| ~ spl0_106
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f3836,f221]) ).
fof(f3838,plain,
( ~ spl0_106
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f3837]) ).
fof(f3841,plain,
( h4(e10) = op2(h4(e10),h4(e11))
| ~ spl0_4
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f656,f1467]) ).
fof(f3842,plain,
( e20 = op2(h4(e10),h4(e11))
| ~ spl0_4
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2519,f3841]) ).
fof(f3843,plain,
( e20 = op2(e20,h4(e11))
| ~ spl0_4
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2519,f3842]) ).
fof(f3844,plain,
( e20 = op2(e20,e21)
| ~ spl0_4
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2744,f3843]) ).
fof(f3846,plain,
( spl0_261
| ~ spl0_93
| ~ spl0_158 ),
inference(split_clause,[status(thm)],[f3528,f1574,f976,f1225]) ).
fof(f3852,plain,
( h4(e13) = op2(h4(e10),h4(e12))
| ~ spl0_11
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f678,f1470]) ).
fof(f3853,plain,
( e23 = op2(h4(e10),h4(e12))
| ~ spl0_11
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f282,f3852]) ).
fof(f3854,plain,
( e23 = op2(e20,h4(e12))
| ~ spl0_11
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f2519,f3853]) ).
fof(f3855,plain,
( e23 = op2(e20,e22)
| ~ spl0_11
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f2741,f3854]) ).
fof(f3857,plain,
( ~ spl0_117
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f3717,f1054,f1067]) ).
fof(f3858,plain,
( h3(e13) != op2(e22,h3(e10))
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f808,f3022]) ).
fof(f3859,plain,
( e22 != op2(e22,h3(e10))
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f278,f3858]) ).
fof(f3864,plain,
( spl0_98
| ~ spl0_157 ),
inference(split_clause,[status(thm)],[f2644,f992,f1222]) ).
fof(f3865,plain,
( ~ spl0_102
| ~ spl0_157 ),
inference(split_clause,[status(thm)],[f2645,f1005,f1222]) ).
fof(f3866,plain,
( h4(e13) != e23
| ~ spl0_51
| ~ spl0_115
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f808,f3002]) ).
fof(f3867,plain,
( e23 != e23
| ~ spl0_51
| ~ spl0_115
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f282,f3866]) ).
fof(f3868,plain,
( $false
| ~ spl0_51
| ~ spl0_115
| spl0_243 ),
inference(trivial_equality_resolution,[status(esa)],[f3867]) ).
fof(f3869,plain,
( ~ spl0_51
| ~ spl0_115
| spl0_243 ),
inference(contradiction_clause,[status(thm)],[f3868]) ).
fof(f3883,plain,
( e12 != op1(e12,e12)
| ~ spl0_18
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f3643,f155]) ).
fof(f3884,plain,
( ~ spl0_42
| ~ spl0_18
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f3883,f778,f700,f1125]) ).
fof(f3885,plain,
( e12 != op1(e13,e11)
| ~ spl0_18
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f3643,f127]) ).
fof(f3886,plain,
( ~ spl0_54
| ~ spl0_18
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f3885,f817,f700,f1125]) ).
fof(f3888,plain,
( op1(e10,e12) = op1(e12,e10)
| ~ spl0_32
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f747,f1129]) ).
fof(f3889,plain,
( e13 = op1(e12,e10)
| ~ spl0_11
| ~ spl0_32
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f678,f3888]) ).
fof(f3890,plain,
( e13 = e10
| ~ spl0_11
| ~ spl0_32
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f747,f3889]) ).
fof(f3891,plain,
( $false
| ~ spl0_11
| ~ spl0_32
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[status(thm)],[f3890,f214]) ).
fof(f3892,plain,
( ~ spl0_11
| ~ spl0_32
| ~ spl0_130 ),
inference(contradiction_clause,[status(thm)],[f3891]) ).
fof(f3893,plain,
( op1(e12,e11) != op1(e11,e10)
| ~ spl0_18
| spl0_129 ),
inference(forward_demodulation,[status(thm)],[f701,f1127]) ).
fof(f3894,plain,
( op1(e12,e11) != e12
| ~ spl0_18
| spl0_129 ),
inference(forward_demodulation,[status(thm)],[f701,f3893]) ).
fof(f3895,plain,
( e12 = e10
| ~ spl0_18
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f701,f695]) ).
fof(f3896,plain,
( $false
| ~ spl0_18
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f3895,f213]) ).
fof(f3897,plain,
( ~ spl0_18
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f3896]) ).
fof(f3902,plain,
( ~ spl0_42
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f2765,f778,f1161]) ).
fof(f3903,plain,
( ~ spl0_98
| ~ spl0_140
| spl0_239 ),
inference(split_clause,[status(thm)],[f2831,f992,f1161,f1487]) ).
fof(f3907,plain,
( h4(op1(e12,e10)) = op2(e22,h4(e10))
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2741,f1488]) ).
fof(f3908,plain,
( h4(op1(e12,e10)) = op2(e22,e20)
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2519,f3907]) ).
fof(f3909,plain,
( ~ spl0_34
| spl0_140 ),
inference(split_clause,[status(thm)],[f3500,f752,f1161]) ).
fof(f3912,plain,
( h4(e13) != op2(e21,e23)
| ~ spl0_31
| spl0_238 ),
inference(backward_demodulation,[status(thm)],[f743,f2825]) ).
fof(f3913,plain,
( e23 != op2(e21,e23)
| ~ spl0_31
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f282,f3912]) ).
fof(f3924,plain,
( e21 != e21
| spl0_260 ),
inference(forward_demodulation,[status(thm)],[f2865,f1572]) ).
fof(f3925,plain,
( $false
| spl0_260 ),
inference(trivial_equality_resolution,[status(esa)],[f3924]) ).
fof(f3926,plain,
spl0_260,
inference(contradiction_clause,[status(thm)],[f3925]) ).
fof(f3927,plain,
( h3(e11) != op2(h3(e12),e22)
| ~ spl0_45
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f789,f2857]) ).
fof(f3944,plain,
( e21 != e21
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f2865,f2864]) ).
fof(f3945,plain,
( $false
| spl0_177 ),
inference(trivial_equality_resolution,[status(esa)],[f3944]) ).
fof(f3946,plain,
spl0_177,
inference(contradiction_clause,[status(thm)],[f3945]) ).
fof(f3966,plain,
( op2(op2(e23,e21),e23) = e21
| ~ spl0_117
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f1055,f1206]) ).
fof(f3967,plain,
( op2(e21,e23) = e21
| ~ spl0_117
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f1055,f3966]) ).
fof(f3974,plain,
( h3(e13) != op2(h3(e11),e22)
| ~ spl0_31
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f743,f2856]) ).
fof(f3975,plain,
( e22 != op2(h3(e11),e22)
| ~ spl0_31
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f278,f3974]) ).
fof(f3992,plain,
( h1(e11) != e22
| spl0_276 ),
inference(forward_demodulation,[status(thm)],[f3178,f1636]) ).
fof(f4013,plain,
( $false
| spl0_276
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f3992]) ).
fof(f4014,plain,
( spl0_276
| ~ spl0_265 ),
inference(contradiction_clause,[status(thm)],[f4013]) ).
fof(f4015,plain,
( h1(e11) = e22
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f3178,f1635]) ).
fof(f4017,plain,
( h1(e12) != e22
| ~ spl0_86 ),
inference(backward_demodulation,[status(thm)],[f3444,f3205]) ).
fof(f4062,plain,
( e11 != op1(e12,e11)
| ~ spl0_21 ),
inference(forward_demodulation,[status(thm)],[f711,f125]) ).
fof(f4087,plain,
( e20 != op2(h1(e12),e21)
| ~ spl0_80
| ~ spl0_34
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3326,f3308]) ).
fof(f4088,plain,
( e20 != op2(e20,e21)
| ~ spl0_80
| ~ spl0_34
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3326,f4087]) ).
fof(f4102,plain,
( h4(e11) != op2(e23,e22)
| ~ spl0_57
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f828,f2882]) ).
fof(f4103,plain,
( e21 != op2(e23,e22)
| ~ spl0_57
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f2744,f4102]) ).
fof(f4110,plain,
( e20 != op2(e21,e20)
| ~ spl0_80
| ~ spl0_11
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f3326,f3124]) ).
fof(f4113,plain,
( h4(op1(e11,e10)) != e20
| ~ spl0_80
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f3326,f3190]) ).
fof(f4124,plain,
( op2(e22,e22) = op2(e22,e20)
| ~ spl0_98
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f993,f1190]) ).
fof(f4147,plain,
( ~ spl0_121
| ~ spl0_57
| spl0_245 ),
inference(split_clause,[status(thm)],[f4103,f1067,f827,f1505]) ).
fof(f4150,plain,
( op2(e22,e22) = e22
| ~ spl0_98
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f993,f4124]) ).
fof(f4150_003,plain,
( op2(e22,e22) = e22
| ~ spl0_98
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f993,f4124]) ).
fof(f4153,plain,
( ~ spl0_115
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2437,f1047,f1060]) ).
fof(f4167,plain,
( ~ spl0_68
| ~ spl0_80
| ~ spl0_34
| spl0_170 ),
inference(split_clause,[status(thm)],[f4088,f895,f934,f752,f1268]) ).
fof(f4168,plain,
( op2(e22,e21) != e21
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f1029,f204]) ).
fof(f4173,plain,
( op1(e11,e13) != op1(e13,e12)
| ~ spl0_57
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f828,f1159]) ).
fof(f4180,plain,
( ~ spl0_98
| spl0_157 ),
inference(split_clause,[status(thm)],[f2662,f992,f1222]) ).
fof(f4183,plain,
( spl0_93
| ~ spl0_117
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f3967,f976,f1054,f1205]) ).
fof(f4191,plain,
( ~ spl0_182
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f3752,f1305,f904]) ).
fof(f4197,plain,
( spl0_55
| ~ spl0_23
| ~ spl0_133 ),
inference(split_clause,[status(thm)],[f3668,f820,f716,f1138]) ).
fof(f4212,plain,
( h4(e12) != op2(e21,e22)
| ~ spl0_26
| spl0_237 ),
inference(backward_demodulation,[status(thm)],[f727,f2931]) ).
fof(f4213,plain,
( e22 != op2(e21,e22)
| ~ spl0_26
| spl0_237 ),
inference(forward_demodulation,[status(thm)],[f2741,f4212]) ).
fof(f4216,plain,
( op1(op1(e11,e12),e11) = e12
| ~ spl0_26
| ~ spl0_137 ),
inference(backward_demodulation,[status(thm)],[f727,f1152]) ).
fof(f4217,plain,
( op1(e12,e11) = e12
| ~ spl0_26
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f727,f4216]) ).
fof(f4218,plain,
( h4(e10) != e20
| ~ spl0_16
| ~ spl0_80
| spl0_235 ),
inference(backward_demodulation,[status(thm)],[f695,f4113]) ).
fof(f4219,plain,
( ~ spl0_292
| ~ spl0_16
| ~ spl0_80
| spl0_235 ),
inference(split_clause,[status(thm)],[f4218,f1698,f694,f934,f1475]) ).
fof(f4221,plain,
( h4(e10) = op2(h4(e11),h4(e10))
| ~ spl0_16
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f695,f1476]) ).
fof(f4222,plain,
( e20 = op2(h4(e11),h4(e10))
| ~ spl0_16
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2519,f4221]) ).
fof(f4223,plain,
( e20 = op2(e21,h4(e10))
| ~ spl0_16
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2744,f4222]) ).
fof(f4224,plain,
( e20 = op2(e21,e20)
| ~ spl0_16
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2519,f4223]) ).
fof(f4225,plain,
( $false
| ~ spl0_80
| ~ spl0_11
| spl0_164
| ~ spl0_16
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[status(thm)],[f4224,f4110]) ).
fof(f4226,plain,
( ~ spl0_80
| ~ spl0_11
| spl0_164
| ~ spl0_16
| ~ spl0_235 ),
inference(contradiction_clause,[status(thm)],[f4225]) ).
fof(f4227,plain,
( h1(e13) = op2(h1(e10),h1(e12))
| ~ spl0_11
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f678,f1251]) ).
fof(f4228,plain,
( e20 = op2(h1(e10),h1(e12))
| ~ spl0_11
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f270,f4227]) ).
fof(f4229,plain,
( e20 = op2(e21,h1(e12))
| ~ spl0_11
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2865,f4228]) ).
fof(f4230,plain,
( e20 = op2(e21,e20)
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f3326,f4229]) ).
fof(f4239,plain,
( h3(e10) != op2(h3(e11),h3(e10))
| ~ spl0_16
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f695,f1404]) ).
fof(f4253,plain,
( e22 != op2(e23,e21)
| ~ spl0_265 ),
inference(forward_demodulation,[status(thm)],[f1591,f3197]) ).
fof(f4262,plain,
( h3(e10) = e22
| ~ spl0_98
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f4150,f279]) ).
fof(f4263,plain,
( e22 != op2(e23,e22)
| ~ spl0_98
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f4262,f3170]) ).
fof(f4264,plain,
( ~ spl0_122
| ~ spl0_98
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f4263,f1070,f992,f1189]) ).
fof(f4268,plain,
( op1(e10,e12) = op1(e12,e12)
| ~ spl0_40
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f773,f1155]) ).
fof(f4269,plain,
( e13 = op1(e12,e12)
| ~ spl0_11
| ~ spl0_40
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f678,f4268]) ).
fof(f4270,plain,
( e13 = e10
| ~ spl0_11
| ~ spl0_40
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f773,f4269]) ).
fof(f4271,plain,
( $false
| ~ spl0_11
| ~ spl0_40
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f4270,f214]) ).
fof(f4272,plain,
( ~ spl0_11
| ~ spl0_40
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f4271]) ).
fof(f4273,plain,
( op1(e11,e13) != e11
| ~ spl0_57
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f828,f4173]) ).
fof(f4284,plain,
( h1(e12) != h1(e12)
| ~ spl0_34
| ~ spl0_146
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f753,f3541]) ).
fof(f4285,plain,
( $false
| ~ spl0_34
| ~ spl0_146
| spl0_170 ),
inference(trivial_equality_resolution,[status(esa)],[f4284]) ).
fof(f4286,plain,
( ~ spl0_34
| ~ spl0_146
| spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4285]) ).
fof(f4289,plain,
( h3(e12) != op2(h3(e12),h3(e10))
| ~ spl0_34
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f753,f1416]) ).
fof(f4291,plain,
( ~ spl0_95
| ~ spl0_31
| spl0_238 ),
inference(split_clause,[status(thm)],[f3913,f982,f742,f1484]) ).
fof(f4302,plain,
( e12 = e10
| ~ spl0_54
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f818,f812]) ).
fof(f4303,plain,
( $false
| ~ spl0_54
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f4302,f213]) ).
fof(f4304,plain,
( ~ spl0_54
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f4303]) ).
fof(f4308,plain,
( ~ spl0_37
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f4062,f762,f710]) ).
fof(f4310,plain,
( ~ spl0_37
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2551,f762,f788]) ).
fof(f4318,plain,
( h1(e12) = op2(h1(e12),h1(e10))
| ~ spl0_34
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f753,f1269]) ).
fof(f4319,plain,
( h1(e12) = op2(h1(e12),e21)
| ~ spl0_34
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2865,f4318]) ).
fof(f4320,plain,
( ~ spl0_118
| ~ spl0_265 ),
inference(split_clause,[status(thm)],[f4253,f1057,f1590]) ).
fof(f4326,plain,
( ~ spl0_266
| ~ spl0_86 ),
inference(split_clause,[status(thm)],[f4017,f1594,f953]) ).
fof(f4335,plain,
( spl0_85
| ~ spl0_89
| ~ spl0_154 ),
inference(split_clause,[status(thm)],[f2954,f950,f963,f1212]) ).
fof(f4336,plain,
( h4(op1(e11,e13)) = op2(e21,h4(e13))
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f2744,f1485]) ).
fof(f4337,plain,
( h4(op1(e11,e13)) = op2(e21,e23)
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f282,f4336]) ).
fof(f4338,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f753,f756]) ).
fof(f4339,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f4338,f217]) ).
fof(f4340,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f4339]) ).
fof(f4342,plain,
( op1(e12,e12) = op1(e12,e10)
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f753,f1129]) ).
fof(f4343,plain,
( e10 = op1(e12,e10)
| ~ spl0_40
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f773,f4342]) ).
fof(f4344,plain,
( e10 = e12
| ~ spl0_40
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f753,f4343]) ).
fof(f4345,plain,
( $false
| ~ spl0_40
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[status(thm)],[f4344,f213]) ).
fof(f4346,plain,
( ~ spl0_40
| ~ spl0_34
| ~ spl0_130 ),
inference(contradiction_clause,[status(thm)],[f4345]) ).
fof(f4348,plain,
( h4(e12) = op2(e22,e20)
| ~ spl0_34
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f753,f3908]) ).
fof(f4349,plain,
( e22 = op2(e22,e20)
| ~ spl0_34
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2741,f4348]) ).
fof(f4359,plain,
( h1(e10) != e21
| ~ spl0_40
| ~ spl0_80
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f773,f3687]) ).
fof(f4360,plain,
( e21 != e21
| ~ spl0_40
| ~ spl0_80
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2865,f4359]) ).
fof(f4361,plain,
( $false
| ~ spl0_40
| ~ spl0_80
| spl0_172 ),
inference(trivial_equality_resolution,[status(esa)],[f4360]) ).
fof(f4362,plain,
( ~ spl0_40
| ~ spl0_80
| spl0_172 ),
inference(contradiction_clause,[status(thm)],[f4361]) ).
fof(f4367,plain,
( h1(e11) != e23
| ~ spl0_150
| spl0_206 ),
inference(backward_demodulation,[status(thm)],[f3405,f1384]) ).
fof(f4368,plain,
( ~ spl0_182
| ~ spl0_150
| spl0_206 ),
inference(split_clause,[status(thm)],[f4367,f1305,f1199,f1382]) ).
fof(f4374,plain,
( e12 != op1(e12,e11)
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f753,f152]) ).
fof(f4379,plain,
( e22 != op2(e21,e22)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f4015,f3199]) ).
fof(f4380,plain,
( ~ spl0_90
| ~ spl0_276 ),
inference(split_clause,[status(thm)],[f4379,f966,f1634]) ).
fof(f4381,plain,
( e22 = h2(e10)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f4015,f3178]) ).
fof(f4384,plain,
( $false
| ~ spl0_34
| ~ spl0_26
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f4217,f4374]) ).
fof(f4385,plain,
( ~ spl0_34
| ~ spl0_26
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f4384]) ).
fof(f4386,plain,
( op1(e11,e13) = op1(e13,e12)
| ~ spl0_57
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f828,f1158]) ).
fof(f4387,plain,
( op1(e11,e13) = e11
| ~ spl0_57
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f828,f4386]) ).
fof(f4391,plain,
( h4(e13) != op2(e22,e21)
| ~ spl0_39
| spl0_240 ),
inference(backward_demodulation,[status(thm)],[f769,f3033]) ).
fof(f4392,plain,
( e23 != op2(e22,e21)
| ~ spl0_39
| spl0_240 ),
inference(forward_demodulation,[status(thm)],[f282,f4391]) ).
fof(f4395,plain,
( h3(e13) != op2(h3(e12),h3(e11))
| ~ spl0_39
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f769,f1419]) ).
fof(f4396,plain,
( e22 != op2(h3(e12),h3(e11))
| ~ spl0_39
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f278,f4395]) ).
fof(f4401,plain,
( h1(e13) != op2(e20,e21)
| ~ spl0_51
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f808,f3034]) ).
fof(f4402,plain,
( e20 != op2(e20,e21)
| ~ spl0_51
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f270,f4401]) ).
fof(f4406,plain,
( e10 != op1(e11,e11)
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f695,f146]) ).
fof(f4410,plain,
( e10 != op1(e12,e13)
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f773,f157]) ).
fof(f4425,plain,
( $false
| ~ spl0_40
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f786,f4410]) ).
fof(f4426,plain,
( ~ spl0_40
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f4425]) ).
fof(f4427,plain,
( $false
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f4406]) ).
fof(f4428,plain,
( ~ spl0_16
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f4427]) ).
fof(f4440,plain,
( op1(e11,e12) = op1(e12,e13)
| ~ spl0_45
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f789,f1168]) ).
fof(f4441,plain,
( e12 = op1(e12,e13)
| ~ spl0_26
| ~ spl0_45
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f727,f4440]) ).
fof(f4442,plain,
( e12 = e11
| ~ spl0_26
| ~ spl0_45
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f789,f4441]) ).
fof(f4443,plain,
( $false
| ~ spl0_26
| ~ spl0_45
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[status(thm)],[f4442,f215]) ).
fof(f4444,plain,
( ~ spl0_26
| ~ spl0_45
| ~ spl0_142 ),
inference(contradiction_clause,[status(thm)],[f4443]) ).
fof(f4448,plain,
( $false
| ~ spl0_51
| spl0_174
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f896,f4402]) ).
fof(f4449,plain,
( ~ spl0_51
| spl0_174
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f4448]) ).
fof(f4450,plain,
( h1(e13) = op2(h1(e13),h1(e10))
| ~ spl0_51
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f808,f1281]) ).
fof(f4451,plain,
( e20 = op2(h1(e13),h1(e10))
| ~ spl0_51
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f270,f4450]) ).
fof(f4452,plain,
( e20 = op2(e20,h1(e10))
| ~ spl0_51
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f270,f4451]) ).
fof(f4453,plain,
( e20 = op2(e20,e21)
| ~ spl0_51
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f2865,f4452]) ).
fof(f4463,plain,
( e23 != op2(e21,e22)
| ~ spl0_11
| ~ spl0_233 ),
inference(backward_demodulation,[status(thm)],[f3855,f176]) ).
fof(f4464,plain,
( ~ spl0_91
| ~ spl0_11
| ~ spl0_233 ),
inference(split_clause,[status(thm)],[f4463,f969,f677,f1469]) ).
fof(f4485,plain,
( op2(op2(e22,e21),e22) = e21
| ~ spl0_101
| ~ spl0_151 ),
inference(backward_demodulation,[status(thm)],[f1003,f1203]) ).
fof(f4486,plain,
( op2(e21,e22) = e21
| ~ spl0_101
| ~ spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1003,f4485]) ).
fof(f4502,plain,
( h1(e12) != e23
| ~ spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1306,f3205]) ).
fof(f4515,plain,
( h1(e12) != e22
| ~ spl0_34
| ~ spl0_239 ),
inference(backward_demodulation,[status(thm)],[f4349,f3192]) ).
fof(f4516,plain,
( ~ spl0_266
| ~ spl0_34
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f4515,f1594,f752,f1487]) ).
fof(f4519,plain,
( e20 = h1(e12)
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f3026,f4230]) ).
fof(f4523,plain,
( e20 = op2(e21,e20)
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164 ),
inference(backward_demodulation,[status(thm)],[f4519,f3026]) ).
fof(f4545,plain,
( e23 = op2(e23,e21)
| ~ spl0_206
| ~ spl0_87 ),
inference(backward_demodulation,[status(thm)],[f1383,f2253]) ).
fof(f4546,plain,
( spl0_119
| ~ spl0_206
| ~ spl0_87 ),
inference(split_clause,[status(thm)],[f4545,f1060,f1382,f956]) ).
fof(f4568,plain,
( ~ spl0_123
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2435,f1073,f1060]) ).
fof(f4578,plain,
( ~ spl0_183
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f3534,f1309,f1047]) ).
fof(f4584,plain,
( ~ spl0_183
| ~ spl0_182 ),
inference(split_clause,[status(thm)],[f4502,f1309,f1305]) ).
fof(f4596,plain,
( ~ spl0_183
| spl0_83 ),
inference(split_clause,[status(thm)],[f3533,f1309,f943]) ).
fof(f4598,plain,
( e20 = e22
| ~ spl0_4
| ~ spl0_232
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f3844,f902]) ).
fof(f4599,plain,
( $false
| ~ spl0_4
| ~ spl0_232
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f4598,f219]) ).
fof(f4600,plain,
( ~ spl0_4
| ~ spl0_232
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f4599]) ).
fof(f4601,plain,
( op2(e20,e20) = op2(e20,e21)
| ~ spl0_4
| ~ spl0_232
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f3844,f1197]) ).
fof(f4602,plain,
( e21 = op2(e20,e21)
| ~ spl0_4
| ~ spl0_232
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f2533,f4601]) ).
fof(f4603,plain,
( e21 = e20
| ~ spl0_4
| ~ spl0_232
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f3844,f4602]) ).
fof(f4604,plain,
( $false
| ~ spl0_4
| ~ spl0_232
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[status(thm)],[f4603,f218]) ).
fof(f4605,plain,
( ~ spl0_4
| ~ spl0_232
| ~ spl0_149 ),
inference(contradiction_clause,[status(thm)],[f4604]) ).
fof(f4612,plain,
( h3(e10) = e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f279,f1013]) ).
fof(f4614,plain,
( e20 = op2(e22,e22)
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f4612,f279]) ).
fof(f4615,plain,
( h3(e10) != op2(h3(e11),e20)
| ~ spl0_104
| ~ spl0_16
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f4612,f4239]) ).
fof(f4616,plain,
( e20 != op2(h3(e11),e20)
| ~ spl0_104
| ~ spl0_16
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f4612,f4615]) ).
fof(f4617,plain,
( h3(e12) != op2(h3(e12),e20)
| ~ spl0_104
| ~ spl0_34
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f4612,f4289]) ).
fof(f4622,plain,
( h3(e12) = op2(e20,e22)
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f4612,f2200]) ).
fof(f4623,plain,
( h3(e12) = e23
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f3855,f4622]) ).
fof(f4624,plain,
( h3(e11) = op2(h3(e10),e20)
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f4612,f2199]) ).
fof(f4625,plain,
( h3(e11) = op2(e20,e20)
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f4612,f4624]) ).
fof(f4626,plain,
( h3(e11) = e21
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f2533,f4625]) ).
fof(f4630,plain,
( e13 = e12
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f743,f740]) ).
fof(f4631,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f4630,f217]) ).
fof(f4632,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f4631]) ).
fof(f4647,plain,
( e13 = e11
| ~ spl0_31
| ~ spl0_57
| ~ spl0_139 ),
inference(forward_demodulation,[status(thm)],[f743,f4387]) ).
fof(f4648,plain,
( $false
| ~ spl0_31
| ~ spl0_57
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[status(thm)],[f4647,f216]) ).
fof(f4649,plain,
( ~ spl0_31
| ~ spl0_57
| ~ spl0_139 ),
inference(contradiction_clause,[status(thm)],[f4648]) ).
fof(f4667,plain,
( e23 != op2(e21,e23)
| ~ spl0_204 ),
inference(forward_demodulation,[status(thm)],[f3520,f3196]) ).
fof(f4707,plain,
( e20 != op2(h3(e10),h3(e11))
| ~ spl0_104
| ~ spl0_4
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f4612,f3566]) ).
fof(f4708,plain,
( e20 != op2(e20,h3(e11))
| ~ spl0_104
| ~ spl0_4
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f4612,f4707]) ).
fof(f4736,plain,
( e21 = e22
| ~ spl0_101
| ~ spl0_151
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f4486,f967]) ).
fof(f4737,plain,
( $false
| ~ spl0_101
| ~ spl0_151
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f4736,f221]) ).
fof(f4738,plain,
( ~ spl0_101
| ~ spl0_151
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f4737]) ).
fof(f4763,plain,
( h3(e12) != op2(e23,e20)
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_34
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f4623,f4617]) ).
fof(f4764,plain,
( e23 != op2(e23,e20)
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_34
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f4623,f4763]) ).
fof(f4769,plain,
( h3(e11) != op2(e23,e22)
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_45
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f4623,f3927]) ).
fof(f4770,plain,
( ~ spl0_115
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_34
| spl0_216 ),
inference(split_clause,[status(thm)],[f4764,f1047,f677,f1469,f1012,f752,f1414]) ).
fof(f4778,plain,
( op2(e23,e20) != op2(e20,e22)
| ~ spl0_11
| ~ spl0_233
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f3855,f1211]) ).
fof(f4779,plain,
( op2(e23,e20) != e23
| ~ spl0_11
| ~ spl0_233
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f3855,f4778]) ).
fof(f4799,plain,
( ~ spl0_101
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f4168,f1002,f1028]) ).
fof(f4804,plain,
( e23 = e20
| ~ spl0_104
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f4614,f2267]) ).
fof(f4805,plain,
( $false
| ~ spl0_104
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f4804,f220]) ).
fof(f4806,plain,
( ~ spl0_104
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f4805]) ).
fof(f4808,plain,
( h4(e13) = op2(e21,e23)
| ~ spl0_31
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f743,f4337]) ).
fof(f4809,plain,
( e23 = op2(e21,e23)
| ~ spl0_31
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f282,f4808]) ).
fof(f4835,plain,
( e20 = e21
| ~ spl0_104
| ~ spl0_284 ),
inference(forward_demodulation,[status(thm)],[f4612,f1667]) ).
fof(f4836,plain,
( $false
| ~ spl0_104
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[status(thm)],[f4835,f218]) ).
fof(f4837,plain,
( ~ spl0_104
| ~ spl0_284 ),
inference(contradiction_clause,[status(thm)],[f4836]) ).
fof(f4849,plain,
( h2(e11) != h2(e11)
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2686,f2213]) ).
fof(f4850,plain,
( $false
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f4849]) ).
fof(f4851,plain,
spl0_185,
inference(contradiction_clause,[status(thm)],[f4850]) ).
fof(f4861,plain,
( e22 = h1(e11)
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f3178,f4381]) ).
fof(f4867,plain,
( h2(e12) = op2(e22,e21)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f4861,f3204]) ).
fof(f4868,plain,
( h2(e11) = op2(h1(e11),e22)
| ~ spl0_276 ),
inference(backward_demodulation,[status(thm)],[f4861,f3203]) ).
fof(f4869,plain,
( h2(e11) = op2(e22,e22)
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f4861,f4868]) ).
fof(f4870,plain,
( h2(e11) = e20
| ~ spl0_104
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f4614,f4869]) ).
fof(f4876,plain,
( h4(e10) != op2(e22,e22)
| ~ spl0_40
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f773,f2834]) ).
fof(f4877,plain,
( e20 != op2(e22,e22)
| ~ spl0_40
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2519,f4876]) ).
fof(f4878,plain,
( e20 != e20
| ~ spl0_104
| ~ spl0_40
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f4614,f4877]) ).
fof(f4879,plain,
( $false
| ~ spl0_104
| ~ spl0_40
| spl0_241 ),
inference(trivial_equality_resolution,[status(esa)],[f4878]) ).
fof(f4880,plain,
( ~ spl0_104
| ~ spl0_40
| spl0_241 ),
inference(contradiction_clause,[status(thm)],[f4879]) ).
fof(f4881,plain,
( h4(e10) = op2(h4(e12),h4(e12))
| ~ spl0_40
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f773,f1494]) ).
fof(f4882,plain,
( e20 = op2(h4(e12),h4(e12))
| ~ spl0_40
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2519,f4881]) ).
fof(f4883,plain,
( e20 = op2(e22,h4(e12))
| ~ spl0_40
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2741,f4882]) ).
fof(f4884,plain,
( e20 = op2(e22,e22)
| ~ spl0_40
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2741,f4883]) ).
fof(f4885,plain,
( e22 != op2(e22,e20)
| ~ spl0_104
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f4612,f3859]) ).
fof(f4886,plain,
( e22 != e22
| ~ spl0_34
| ~ spl0_239
| ~ spl0_104
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f4349,f4885]) ).
fof(f4887,plain,
( $false
| ~ spl0_34
| ~ spl0_239
| ~ spl0_104
| ~ spl0_51
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f4886]) ).
fof(f4888,plain,
( ~ spl0_34
| ~ spl0_239
| ~ spl0_104
| ~ spl0_51
| spl0_220 ),
inference(contradiction_clause,[status(thm)],[f4887]) ).
fof(f4893,plain,
( e22 != op2(e20,h3(e12))
| ~ spl0_104
| ~ spl0_11
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f4612,f3540]) ).
fof(f4894,plain,
( e22 != op2(e20,e23)
| ~ spl0_233
| ~ spl0_104
| ~ spl0_11
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f4623,f4893]) ).
fof(f4895,plain,
( e22 != e22
| ~ spl0_233
| ~ spl0_104
| ~ spl0_11
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f2530,f4894]) ).
fof(f4896,plain,
( $false
| ~ spl0_233
| ~ spl0_104
| ~ spl0_11
| spl0_210 ),
inference(trivial_equality_resolution,[status(esa)],[f4895]) ).
fof(f4897,plain,
( ~ spl0_233
| ~ spl0_104
| ~ spl0_11
| spl0_210 ),
inference(contradiction_clause,[status(thm)],[f4896]) ).
fof(f4908,plain,
( $false
| spl0_285
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f4626,f1672]) ).
fof(f4909,plain,
( spl0_285
| ~ spl0_104 ),
inference(contradiction_clause,[status(thm)],[f4908]) ).
fof(f4934,plain,
( e22 = e21
| ~ spl0_276
| ~ spl0_261 ),
inference(forward_demodulation,[status(thm)],[f4861,f1575]) ).
fof(f4935,plain,
( $false
| ~ spl0_276
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[status(thm)],[f4934,f221]) ).
fof(f4936,plain,
( ~ spl0_276
| ~ spl0_261 ),
inference(contradiction_clause,[status(thm)],[f4935]) ).
fof(f4982,plain,
( e20 != op2(e20,e21)
| ~ spl0_285
| ~ spl0_104
| ~ spl0_4
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f1671,f4708]) ).
fof(f4983,plain,
( ~ spl0_68
| ~ spl0_285
| ~ spl0_104
| ~ spl0_4
| spl0_209 ),
inference(split_clause,[status(thm)],[f4982,f895,f1670,f1012,f655,f1393]) ).
fof(f4994,plain,
( e20 != e20
| ~ spl0_104
| spl0_280 ),
inference(forward_demodulation,[status(thm)],[f4612,f1652]) ).
fof(f4995,plain,
( $false
| ~ spl0_104
| spl0_280 ),
inference(trivial_equality_resolution,[status(esa)],[f4994]) ).
fof(f4996,plain,
( ~ spl0_104
| spl0_280 ),
inference(contradiction_clause,[status(thm)],[f4995]) ).
fof(f5002,plain,
( h4(e11) != op2(e21,e21)
| ~ spl0_21
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f711,f2823]) ).
fof(f5003,plain,
( e21 != op2(e21,e21)
| ~ spl0_21
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f2744,f5002]) ).
fof(f5009,plain,
( e22 != op2(e21,e22)
| ~ spl0_285
| ~ spl0_31
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1671,f3975]) ).
fof(f5017,plain,
( e22 != op2(e23,h3(e11))
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_39
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f4623,f4396]) ).
fof(f5018,plain,
( e22 != op2(e23,e21)
| ~ spl0_285
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_39
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f1671,f5017]) ).
fof(f5025,plain,
( op2(e23,e21) = op2(e21,e23)
| ~ spl0_31
| ~ spl0_238
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f4809,f1226]) ).
fof(f5026,plain,
( e21 = op2(e21,e23)
| ~ spl0_117
| ~ spl0_31
| ~ spl0_238
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f1055,f5025]) ).
fof(f5027,plain,
( e21 = e23
| ~ spl0_117
| ~ spl0_31
| ~ spl0_238
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f4809,f5026]) ).
fof(f5028,plain,
( $false
| ~ spl0_117
| ~ spl0_31
| ~ spl0_238
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[status(thm)],[f5027,f222]) ).
fof(f5029,plain,
( ~ spl0_117
| ~ spl0_31
| ~ spl0_238
| ~ spl0_158 ),
inference(contradiction_clause,[status(thm)],[f5028]) ).
fof(f5037,plain,
( h1(e12) != op2(e21,h1(e12))
| ~ spl0_26
| ~ spl0_85
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f727,f3816]) ).
fof(f5038,plain,
( e20 != op2(e21,h1(e12))
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164
| ~ spl0_26
| ~ spl0_85
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f4519,f5037]) ).
fof(f5039,plain,
( e20 != op2(e21,e20)
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164
| ~ spl0_26
| ~ spl0_85
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f4519,f5038]) ).
fof(f5040,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164
| ~ spl0_26
| ~ spl0_85
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f4523,f5039]) ).
fof(f5041,plain,
( $false
| ~ spl0_80
| ~ spl0_11
| ~ spl0_164
| ~ spl0_26
| ~ spl0_85
| spl0_168 ),
inference(trivial_equality_resolution,[status(esa)],[f5040]) ).
fof(f5042,plain,
( ~ spl0_80
| ~ spl0_11
| ~ spl0_164
| ~ spl0_26
| ~ spl0_85
| spl0_168 ),
inference(contradiction_clause,[status(thm)],[f5041]) ).
fof(f5043,plain,
( ~ spl0_90
| ~ spl0_285
| ~ spl0_31
| spl0_215 ),
inference(split_clause,[status(thm)],[f5009,f966,f1670,f742,f1411]) ).
fof(f5045,plain,
( ~ spl0_95
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f4667,f982,f1374]) ).
fof(f5047,plain,
( ~ spl0_103
| ~ spl0_39
| spl0_240 ),
inference(split_clause,[status(thm)],[f4392,f1008,f768,f1490]) ).
fof(f5057,plain,
( ~ spl0_118
| ~ spl0_285
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_39
| spl0_217 ),
inference(split_clause,[status(thm)],[f5018,f1057,f1670,f677,f1469,f1012,f768,f1417]) ).
fof(f5059,plain,
( e21 != op2(e23,e22)
| ~ spl0_285
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_45
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1671,f4769]) ).
fof(f5065,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f3137,f694,f720]) ).
fof(f5072,plain,
( ~ spl0_52
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f3578,f811,f655]) ).
fof(f5076,plain,
( e11 = e12
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f711,f714]) ).
fof(f5077,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f5076,f215]) ).
fof(f5078,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f5077]) ).
fof(f5082,plain,
( e11 != op1(e13,e12)
| ~ spl0_45
| ~ spl0_58
| spl0_139 ),
inference(forward_demodulation,[status(thm)],[f789,f3158]) ).
fof(f5091,plain,
( e13 != op1(e12,e12)
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f769,f155]) ).
fof(f5121,plain,
( spl0_269
| ~ spl0_104
| ~ spl0_276 ),
inference(split_clause,[status(thm)],[f4870,f1606,f1012,f1634]) ).
fof(f5150,plain,
( spl0_106
| ~ spl0_98
| ~ spl0_147 ),
inference(split_clause,[status(thm)],[f4150,f1018,f992,f1189]) ).
fof(f5158,plain,
( ~ spl0_115
| ~ spl0_11
| ~ spl0_233
| spl0_153 ),
inference(split_clause,[status(thm)],[f4779,f1047,f677,f1469,f1209]) ).
fof(f5159,plain,
( e21 = e22
| ~ spl0_45
| ~ spl0_242
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f3779,f1032]) ).
fof(f5160,plain,
( $false
| ~ spl0_45
| ~ spl0_242
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f5159,f221]) ).
fof(f5161,plain,
( ~ spl0_45
| ~ spl0_242
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f5160]) ).
fof(f5164,plain,
( ~ spl0_121
| ~ spl0_285
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_45
| spl0_219 ),
inference(split_clause,[status(thm)],[f5059,f1067,f1670,f677,f1469,f1012,f788,f1423]) ).
fof(f5181,plain,
( op1(e12,e11) = op1(e11,e11)
| ~ spl0_22
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f714,f1139]) ).
fof(f5182,plain,
( e13 = op1(e11,e11)
| ~ spl0_39
| ~ spl0_22
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f769,f5181]) ).
fof(f5183,plain,
( e13 = e12
| ~ spl0_39
| ~ spl0_22
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f714,f5182]) ).
fof(f5184,plain,
( $false
| ~ spl0_39
| ~ spl0_22
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[status(thm)],[f5183,f217]) ).
fof(f5185,plain,
( ~ spl0_39
| ~ spl0_22
| ~ spl0_133 ),
inference(contradiction_clause,[status(thm)],[f5184]) ).
fof(f5189,plain,
( op1(e13,e12) = op1(e12,e11)
| ~ spl0_39
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f769,f1142]) ).
fof(f5196,plain,
( e20 = h2(e11)
| ~ spl0_185
| ~ spl0_269 ),
inference(forward_demodulation,[status(thm)],[f3514,f3214]) ).
fof(f5228,plain,
( e20 = h3(e10)
| ~ spl0_40
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f279,f4884]) ).
fof(f5323,plain,
( op1(e13,e12) = e13
| ~ spl0_39
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f769,f5189]) ).
fof(f5389,plain,
( op2(op2(e23,e21),e23) = e22
| ~ spl0_118
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f1058,f1206]) ).
fof(f5390,plain,
( op2(e22,e23) = e22
| ~ spl0_118
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f1058,f5389]) ).
fof(f5413,plain,
( op1(e11,e11) != op1(e11,e11)
| ~ spl0_21
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f711,f1140]) ).
fof(f5414,plain,
( e11 != op1(e11,e11)
| ~ spl0_21
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f711,f5413]) ).
fof(f5415,plain,
( e11 != e11
| ~ spl0_21
| spl0_133 ),
inference(forward_demodulation,[status(thm)],[f711,f5414]) ).
fof(f5416,plain,
( $false
| ~ spl0_21
| spl0_133 ),
inference(trivial_equality_resolution,[status(esa)],[f5415]) ).
fof(f5417,plain,
( ~ spl0_21
| spl0_133 ),
inference(contradiction_clause,[status(thm)],[f5416]) ).
fof(f5464,plain,
( h4(e12) != op2(e23,e21)
| ~ spl0_54
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f818,f2824]) ).
fof(f5465,plain,
( e22 != op2(e23,e21)
| ~ spl0_54
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2741,f5464]) ).
fof(f5466,plain,
( e22 != e22
| ~ spl0_118
| ~ spl0_54
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f1058,f5465]) ).
fof(f5467,plain,
( $false
| ~ spl0_118
| ~ spl0_54
| spl0_244 ),
inference(trivial_equality_resolution,[status(esa)],[f5466]) ).
fof(f5468,plain,
( ~ spl0_118
| ~ spl0_54
| spl0_244 ),
inference(contradiction_clause,[status(thm)],[f5467]) ).
fof(f5469,plain,
( h4(e12) = op2(h4(e13),h4(e11))
| ~ spl0_54
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f818,f1503]) ).
fof(f5470,plain,
( e22 = op2(h4(e13),h4(e11))
| ~ spl0_54
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2741,f5469]) ).
fof(f5471,plain,
( e22 = op2(e23,h4(e11))
| ~ spl0_54
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f282,f5470]) ).
fof(f5472,plain,
( e22 = op2(e23,e21)
| ~ spl0_54
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2744,f5471]) ).
fof(f5473,plain,
( ~ spl0_85
| ~ spl0_21
| spl0_236 ),
inference(split_clause,[status(thm)],[f5003,f950,f710,f1478]) ).
fof(f5488,plain,
( h2(e12) = op2(e21,h2(e11))
| ~ spl0_54
| ~ spl0_198 ),
inference(forward_demodulation,[status(thm)],[f818,f3519]) ).
fof(f5498,plain,
( h2(e12) = e23
| ~ spl0_103
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f1009,f4867]) ).
fof(f5500,plain,
( spl0_118
| ~ spl0_54
| ~ spl0_244 ),
inference(split_clause,[status(thm)],[f5472,f1057,f817,f1502]) ).
fof(f5525,plain,
( op2(e23,e22) = op2(e22,e21)
| ~ spl0_103
| ~ spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1009,f1203]) ).
fof(f5526,plain,
( op2(e23,e22) = e23
| ~ spl0_103
| ~ spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1009,f5525]) ).
fof(f5540,plain,
( h2(e12) = op2(e21,e20)
| ~ spl0_185
| ~ spl0_269
| ~ spl0_54
| ~ spl0_198 ),
inference(forward_demodulation,[status(thm)],[f5196,f5488]) ).
fof(f5541,plain,
( h2(e12) = e20
| ~ spl0_16
| ~ spl0_235
| ~ spl0_185
| ~ spl0_269
| ~ spl0_54
| ~ spl0_198 ),
inference(forward_demodulation,[status(thm)],[f4224,f5540]) ).
fof(f5547,plain,
( op1(e11,e11) != e11
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f737,f150]) ).
fof(f5564,plain,
( e20 = e23
| ~ spl0_16
| ~ spl0_235
| ~ spl0_185
| ~ spl0_269
| ~ spl0_54
| ~ spl0_198
| ~ spl0_103
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f5541,f5498]) ).
fof(f5565,plain,
( $false
| ~ spl0_16
| ~ spl0_235
| ~ spl0_185
| ~ spl0_269
| ~ spl0_54
| ~ spl0_198
| ~ spl0_103
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[status(thm)],[f5564,f220]) ).
fof(f5566,plain,
( ~ spl0_16
| ~ spl0_235
| ~ spl0_185
| ~ spl0_269
| ~ spl0_54
| ~ spl0_198
| ~ spl0_103
| ~ spl0_276 ),
inference(contradiction_clause,[status(thm)],[f5565]) ).
fof(f5584,plain,
( op1(e11,e12) = op1(e12,e11)
| ~ spl0_37
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f763,f1142]) ).
fof(f5585,plain,
( e12 = op1(e12,e11)
| ~ spl0_26
| ~ spl0_37
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f727,f5584]) ).
fof(f5586,plain,
( e12 = e11
| ~ spl0_26
| ~ spl0_37
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f763,f5585]) ).
fof(f5587,plain,
( $false
| ~ spl0_26
| ~ spl0_37
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[status(thm)],[f5586,f215]) ).
fof(f5588,plain,
( ~ spl0_26
| ~ spl0_37
| ~ spl0_134 ),
inference(contradiction_clause,[status(thm)],[f5587]) ).
fof(f5592,plain,
( op1(e12,e13) = op1(e13,e11)
| ~ spl0_54
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f818,f1145]) ).
fof(f5593,plain,
( op1(e12,e13) = e12
| ~ spl0_54
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f818,f5592]) ).
fof(f5594,plain,
( $false
| spl0_46
| ~ spl0_54
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f5593,f793]) ).
fof(f5595,plain,
( spl0_46
| ~ spl0_54
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f5594]) ).
fof(f5596,plain,
( e20 != op2(e21,e20)
| ~ spl0_285
| ~ spl0_104
| ~ spl0_16
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1671,f4616]) ).
fof(f5597,plain,
( e20 != e20
| ~ spl0_235
| ~ spl0_285
| ~ spl0_104
| ~ spl0_16
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f4224,f5596]) ).
fof(f5598,plain,
( $false
| ~ spl0_235
| ~ spl0_285
| ~ spl0_104
| ~ spl0_16
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f5597]) ).
fof(f5599,plain,
( ~ spl0_235
| ~ spl0_285
| ~ spl0_104
| ~ spl0_16
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f5598]) ).
fof(f5601,plain,
( spl0_59
| ~ spl0_39
| ~ spl0_134 ),
inference(split_clause,[status(thm)],[f5323,f833,f768,f1141]) ).
fof(f5626,plain,
( ~ spl0_90
| ~ spl0_26
| spl0_237 ),
inference(split_clause,[status(thm)],[f4213,f966,f726,f1481]) ).
fof(f5657,plain,
( h3(e10) != op2(h3(e12),h3(e12))
| ~ spl0_40
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f773,f1422]) ).
fof(f5658,plain,
( e20 != op2(h3(e12),h3(e12))
| ~ spl0_241
| ~ spl0_40
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f5228,f5657]) ).
fof(f5659,plain,
( e20 != op2(e23,h3(e12))
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_241
| ~ spl0_40
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f4623,f5658]) ).
fof(f5660,plain,
( e20 != op2(e23,e23)
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_241
| ~ spl0_40
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f4623,f5659]) ).
fof(f5661,plain,
( e20 != e20
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_241
| ~ spl0_40
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f2523,f5660]) ).
fof(f5662,plain,
( $false
| ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_241
| ~ spl0_40
| spl0_218 ),
inference(trivial_equality_resolution,[status(esa)],[f5661]) ).
fof(f5663,plain,
( ~ spl0_11
| ~ spl0_233
| ~ spl0_104
| ~ spl0_241
| ~ spl0_40
| spl0_218 ),
inference(contradiction_clause,[status(thm)],[f5662]) ).
fof(f5666,plain,
( h4(e12) = op2(h4(e11),h4(e12))
| ~ spl0_26
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f727,f1482]) ).
fof(f5667,plain,
( e22 = op2(h4(e11),h4(e12))
| ~ spl0_26
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f2741,f5666]) ).
fof(f5668,plain,
( e22 = op2(e21,h4(e12))
| ~ spl0_26
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f2744,f5667]) ).
fof(f5669,plain,
( e22 = op2(e21,e22)
| ~ spl0_26
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f2741,f5668]) ).
fof(f5709,plain,
( h1(e12) != e22
| ~ spl0_26
| ~ spl0_237 ),
inference(backward_demodulation,[status(thm)],[f5669,f3187]) ).
fof(f5710,plain,
( ~ spl0_266
| ~ spl0_26
| ~ spl0_237 ),
inference(split_clause,[status(thm)],[f5709,f1594,f726,f1481]) ).
fof(f5712,plain,
( e22 != op2(e23,e22)
| ~ spl0_26
| ~ spl0_237 ),
inference(backward_demodulation,[status(thm)],[f5669,f180]) ).
fof(f5713,plain,
( ~ spl0_122
| ~ spl0_26
| ~ spl0_237 ),
inference(split_clause,[status(thm)],[f5712,f1070,f726,f1481]) ).
fof(f5722,plain,
( e23 = e21
| ~ spl0_95
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f983,f977]) ).
fof(f5723,plain,
( $false
| ~ spl0_95
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f5722,f222]) ).
fof(f5724,plain,
( ~ spl0_95
| ~ spl0_93 ),
inference(contradiction_clause,[status(thm)],[f5723]) ).
fof(f5746,plain,
( spl0_123
| ~ spl0_103
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f5526,f1073,f1008,f1202]) ).
fof(f5769,plain,
( e23 = h3(e10)
| ~ spl0_107
| ~ spl0_223 ),
inference(forward_demodulation,[status(thm)],[f279,f2880]) ).
fof(f5775,plain,
( op1(op1(e12,e13),e12) != e11
| ~ spl0_45
| spl0_142 ),
inference(backward_demodulation,[status(thm)],[f789,f1169]) ).
fof(f5776,plain,
( op1(e11,e12) != e11
| ~ spl0_45
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f789,f5775]) ).
fof(f5826,plain,
( h1(e12) != e22
| ~ spl0_276 ),
inference(forward_demodulation,[status(thm)],[f4861,f3205]) ).
fof(f5844,plain,
( $false
| ~ spl0_276
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[status(thm)],[f1595,f5826]) ).
fof(f5845,plain,
( ~ spl0_276
| ~ spl0_266 ),
inference(contradiction_clause,[status(thm)],[f5844]) ).
fof(f5856,plain,
( h1(e10) = op2(h1(e12),h1(e12))
| ~ spl0_40
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f773,f1275]) ).
fof(f5857,plain,
( e21 = op2(h1(e12),h1(e12))
| ~ spl0_40
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2865,f5856]) ).
fof(f5879,plain,
( e21 = op2(h1(e12),e22)
| ~ spl0_82
| ~ spl0_40
| ~ spl0_172 ),
inference(backward_demodulation,[status(thm)],[f3530,f5857]) ).
fof(f5880,plain,
( e21 = op2(e22,e22)
| ~ spl0_82
| ~ spl0_40
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f3530,f5879]) ).
fof(f5883,plain,
( h1(e12) = op2(e22,e21)
| ~ spl0_82
| ~ spl0_34
| ~ spl0_170 ),
inference(backward_demodulation,[status(thm)],[f3530,f4319]) ).
fof(f5884,plain,
( e22 = op2(e22,e21)
| ~ spl0_82
| ~ spl0_34
| ~ spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3530,f5883]) ).
fof(f5902,plain,
( spl0_102
| ~ spl0_82
| ~ spl0_34
| ~ spl0_170 ),
inference(split_clause,[status(thm)],[f5884,f1005,f940,f752,f1268]) ).
fof(f5906,plain,
( op2(e23,e21) = op2(e21,e23)
| ~ spl0_95
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f983,f1226]) ).
fof(f5907,plain,
( op2(e23,e21) = e23
| ~ spl0_95
| ~ spl0_158 ),
inference(forward_demodulation,[status(thm)],[f983,f5906]) ).
fof(f5914,plain,
( spl0_105
| ~ spl0_82
| ~ spl0_40
| ~ spl0_172 ),
inference(split_clause,[status(thm)],[f5880,f1015,f940,f772,f1274]) ).
fof(f5990,plain,
( h3(e12) = e22
| ~ spl0_107
| ~ spl0_211
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f2936,f1071]) ).
fof(f6223,plain,
( e22 = h3(e10)
| ~ spl0_107
| ~ spl0_211
| ~ spl0_122
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f5990,f3174]) ).
fof(f6224,plain,
( e22 = e23
| ~ spl0_223
| ~ spl0_107
| ~ spl0_211
| ~ spl0_122
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f5769,f6223]) ).
fof(f6225,plain,
( $false
| ~ spl0_223
| ~ spl0_107
| ~ spl0_211
| ~ spl0_122
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[status(thm)],[f6224,f223]) ).
fof(f6226,plain,
( ~ spl0_223
| ~ spl0_107
| ~ spl0_211
| ~ spl0_122
| ~ spl0_155 ),
inference(contradiction_clause,[status(thm)],[f6225]) ).
fof(f6227,plain,
( ~ spl0_38
| ~ spl0_18
| spl0_129 ),
inference(split_clause,[status(thm)],[f3894,f765,f700,f1125]) ).
fof(f6229,plain,
( op1(e13,e11) = op1(e11,e13)
| ~ spl0_31
| ~ spl0_141 ),
inference(forward_demodulation,[status(thm)],[f743,f1165]) ).
fof(f6230,plain,
( e12 = op1(e11,e13)
| ~ spl0_54
| ~ spl0_31
| ~ spl0_141 ),
inference(forward_demodulation,[status(thm)],[f818,f6229]) ).
fof(f6231,plain,
( e12 = e13
| ~ spl0_54
| ~ spl0_31
| ~ spl0_141 ),
inference(forward_demodulation,[status(thm)],[f743,f6230]) ).
fof(f6232,plain,
( $false
| ~ spl0_54
| ~ spl0_31
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[status(thm)],[f6231,f217]) ).
fof(f6233,plain,
( ~ spl0_54
| ~ spl0_31
| ~ spl0_141 ),
inference(contradiction_clause,[status(thm)],[f6232]) ).
fof(f6250,plain,
( ~ spl0_44
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f3646,f785,f746]) ).
fof(f6251,plain,
( ~ spl0_266
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f3535,f1594,f992]) ).
fof(f6258,plain,
( e11 = e10
| ~ spl0_21
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f711,f708]) ).
fof(f6259,plain,
( $false
| ~ spl0_21
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f6258,f212]) ).
fof(f6260,plain,
( ~ spl0_21
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f6259]) ).
fof(f6271,plain,
( ~ spl0_33
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f2066,f749,f645]) ).
fof(f6272,plain,
( ~ spl0_24
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2092,f720,f668]) ).
fof(f6276,plain,
( op1(e11,e12) = e11
| ~ spl0_45
| ~ spl0_142 ),
inference(forward_demodulation,[status(thm)],[f789,f4440]) ).
fof(f6298,plain,
( ~ spl0_57
| ~ spl0_45
| ~ spl0_58
| spl0_139 ),
inference(split_clause,[status(thm)],[f5082,f827,f788,f830,f1157]) ).
fof(f6320,plain,
( ~ spl0_43
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f5091,f781,f768]) ).
fof(f6324,plain,
( ~ spl0_21
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f5547,f710,f736]) ).
fof(f6326,plain,
( ~ spl0_43
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f3552,f781,f794]) ).
fof(f6328,plain,
( ~ spl0_29
| ~ spl0_57
| spl0_139 ),
inference(split_clause,[status(thm)],[f4273,f736,f827,f1157]) ).
fof(f6333,plain,
( ~ spl0_57
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f3090,f827,f775]) ).
fof(f6344,plain,
( h4(op1(e13,e11)) = op2(e23,h4(e11))
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f282,f1503]) ).
fof(f6345,plain,
( h4(op1(e13,e11)) = op2(e23,e21)
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2744,f6344]) ).
fof(f6347,plain,
( op2(e20,e20) = op2(e20,e21)
| ~ spl0_51
| ~ spl0_174
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f4453,f1197]) ).
fof(f6348,plain,
( e21 = op2(e20,e21)
| ~ spl0_51
| ~ spl0_174
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f2533,f6347]) ).
fof(f6349,plain,
( e21 = e20
| ~ spl0_51
| ~ spl0_174
| ~ spl0_149 ),
inference(forward_demodulation,[status(thm)],[f4453,f6348]) ).
fof(f6350,plain,
( $false
| ~ spl0_51
| ~ spl0_174
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[status(thm)],[f6349,f218]) ).
fof(f6351,plain,
( ~ spl0_51
| ~ spl0_174
| ~ spl0_149 ),
inference(contradiction_clause,[status(thm)],[f6350]) ).
fof(f6384,plain,
( h3(e12) != e22
| ~ spl0_104 ),
inference(backward_demodulation,[status(thm)],[f4622,f2696]) ).
fof(f6396,plain,
( e13 = op1(e12,e10)
| ~ spl0_43
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f782,f4342]) ).
fof(f6453,plain,
( op1(e10,e10) = op1(e10,e12)
| ~ spl0_8
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f669,f1149]) ).
fof(f6454,plain,
( e11 = op1(e10,e12)
| ~ spl0_8
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f2686,f6453]) ).
fof(f6455,plain,
( e11 = e10
| ~ spl0_8
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f669,f6454]) ).
fof(f6456,plain,
( $false
| ~ spl0_8
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f6455,f212]) ).
fof(f6457,plain,
( ~ spl0_8
| ~ spl0_136 ),
inference(contradiction_clause,[status(thm)],[f6456]) ).
fof(f6461,plain,
( op1(e13,e12) = op1(e12,e12)
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f782,f1155]) ).
fof(f6462,plain,
( e11 = op1(e12,e12)
| ~ spl0_57
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f828,f6461]) ).
fof(f6463,plain,
( e11 = e13
| ~ spl0_57
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f782,f6462]) ).
fof(f6464,plain,
( $false
| ~ spl0_57
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f6463,f216]) ).
fof(f6465,plain,
( ~ spl0_57
| ~ spl0_43
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f6464]) ).
fof(f6471,plain,
( spl0_35
| ~ spl0_43
| ~ spl0_34
| ~ spl0_130 ),
inference(split_clause,[status(thm)],[f6396,f755,f781,f752,f1128]) ).
fof(f6485,plain,
( op1(e10,e11) = op1(e11,e10)
| ~ spl0_16
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f695,f1126]) ).
fof(f6486,plain,
( e13 = op1(e11,e10)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f665,f6485]) ).
fof(f6487,plain,
( e13 = e10
| ~ spl0_7
| ~ spl0_16
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f695,f6486]) ).
fof(f6488,plain,
( $false
| ~ spl0_7
| ~ spl0_16
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f6487,f214]) ).
fof(f6489,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_129 ),
inference(contradiction_clause,[status(thm)],[f6488]) ).
fof(f6499,plain,
( spl0_119
| ~ spl0_95
| ~ spl0_158 ),
inference(split_clause,[status(thm)],[f5907,f1060,f982,f1225]) ).
fof(f6502,plain,
( op1(e12,e12) = op1(e12,e10)
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f753,f1129]) ).
fof(f6503,plain,
( op1(e12,e12) = e12
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f753,f6502]) ).
fof(f6509,plain,
( spl0_110
| ~ spl0_118
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f5390,f1031,f1057,f1205]) ).
fof(f6543,plain,
( h1(e11) != op2(e21,e21)
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f3178,f2874]) ).
fof(f6544,plain,
( h1(e11) != h1(e11)
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f3201,f6543]) ).
fof(f6545,plain,
( $false
| spl0_200 ),
inference(trivial_equality_resolution,[status(esa)],[f6544]) ).
fof(f6546,plain,
spl0_200,
inference(contradiction_clause,[status(thm)],[f6545]) ).
fof(f6578,plain,
( op1(e10,e12) != op1(e12,e11)
| ~ spl0_36
| spl0_134 ),
inference(forward_demodulation,[status(thm)],[f760,f1143]) ).
fof(f6579,plain,
( e10 != op1(e12,e11)
| ~ spl0_8
| ~ spl0_36
| spl0_134 ),
inference(forward_demodulation,[status(thm)],[f669,f6578]) ).
fof(f6580,plain,
( e10 != e10
| ~ spl0_8
| ~ spl0_36
| spl0_134 ),
inference(forward_demodulation,[status(thm)],[f760,f6579]) ).
fof(f6581,plain,
( $false
| ~ spl0_8
| ~ spl0_36
| spl0_134 ),
inference(trivial_equality_resolution,[status(esa)],[f6580]) ).
fof(f6582,plain,
( ~ spl0_8
| ~ spl0_36
| spl0_134 ),
inference(contradiction_clause,[status(thm)],[f6581]) ).
fof(f6606,plain,
( e11 = e12
| ~ spl0_41
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f776,f6503]) ).
fof(f6607,plain,
( $false
| ~ spl0_41
| ~ spl0_34
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[status(thm)],[f6606,f215]) ).
fof(f6608,plain,
( ~ spl0_41
| ~ spl0_34
| ~ spl0_130 ),
inference(contradiction_clause,[status(thm)],[f6607]) ).
fof(f6611,plain,
( e21 = e22
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f1029,f1032]) ).
fof(f6612,plain,
( $false
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f6611,f221]) ).
fof(f6613,plain,
( ~ spl0_109
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f6612]) ).
fof(f6616,plain,
( spl0_25
| ~ spl0_41
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f3089,f723,f775,f1154]) ).
fof(f6631,plain,
( h4(e11) = op2(e23,e21)
| ~ spl0_53
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f815,f6345]) ).
fof(f6632,plain,
( e21 = op2(e23,e21)
| ~ spl0_53
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2744,f6631]) ).
fof(f6633,plain,
( e21 = e22
| ~ spl0_118
| ~ spl0_53
| ~ spl0_244 ),
inference(forward_demodulation,[status(thm)],[f1058,f6632]) ).
fof(f6634,plain,
( $false
| ~ spl0_118
| ~ spl0_53
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[status(thm)],[f6633,f221]) ).
fof(f6635,plain,
( ~ spl0_118
| ~ spl0_53
| ~ spl0_244 ),
inference(contradiction_clause,[status(thm)],[f6634]) ).
fof(f6676,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f3058,f755,f794]) ).
fof(f6681,plain,
( ~ spl0_23
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2632,f716,f664]) ).
fof(f6702,plain,
( ~ spl0_99
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f3602,f995,f1034]) ).
fof(f6716,plain,
( ~ spl0_290
| ~ spl0_104 ),
inference(split_clause,[status(thm)],[f6384,f1690,f1012]) ).
fof(f6718,plain,
( e21 = e23
| ~ spl0_121
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1068,f1074]) ).
fof(f6719,plain,
( $false
| ~ spl0_121
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f6718,f222]) ).
fof(f6720,plain,
( ~ spl0_121
| ~ spl0_123 ),
inference(contradiction_clause,[status(thm)],[f6719]) ).
fof(f6799,plain,
( op1(op1(e11,e12),e11) = e11
| ~ spl0_45
| ~ spl0_142
| ~ spl0_137 ),
inference(backward_demodulation,[status(thm)],[f6276,f1152]) ).
fof(f6800,plain,
( op1(e11,e11) = e11
| ~ spl0_45
| ~ spl0_142
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f6276,f6799]) ).
fof(f6801,plain,
( e10 = e11
| ~ spl0_20
| ~ spl0_45
| ~ spl0_142
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f708,f6800]) ).
fof(f6802,plain,
( $false
| ~ spl0_20
| ~ spl0_45
| ~ spl0_142
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f6801,f212]) ).
fof(f6803,plain,
( ~ spl0_20
| ~ spl0_45
| ~ spl0_142
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f6802]) ).
fof(f6806,plain,
( ~ spl0_25
| ~ spl0_45
| spl0_142 ),
inference(split_clause,[status(thm)],[f5776,f723,f788,f1167]) ).
fof(f6810,plain,
( op1(e13,e12) = op1(e12,e12)
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f782,f1155]) ).
fof(f6811,plain,
( e12 = op1(e12,e12)
| ~ spl0_58
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f831,f6810]) ).
fof(f6812,plain,
( e12 = e13
| ~ spl0_58
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f782,f6811]) ).
fof(f6813,plain,
( $false
| ~ spl0_58
| ~ spl0_43
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f6812,f217]) ).
fof(f6814,plain,
( ~ spl0_58
| ~ spl0_43
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f6813]) ).
fof(f6815,plain,
$false,
inference(sat_refutation,[status(thm)],[f654,f667,f680,f693,f719,f732,f745,f758,f771,f784,f797,f836,f849,f850,f851,f855,f856,f857,f858,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f876,f877,f878,f880,f881,f894,f920,f946,f959,f972,f985,f998,f1011,f1050,f1063,f1076,f1090,f1091,f1096,f1097,f1098,f1101,f1102,f1103,f1106,f1108,f1109,f1110,f1111,f1112,f1117,f1120,f1121,f1134,f1147,f1160,f1173,f1177,f1195,f1208,f1221,f1234,f1238,f1535,f1539,f1548,f1569,f1573,f1597,f1633,f1653,f1673,f1697,f1701,f1721,f1741,f1749,f1758,f1768,f1777,f1785,f1786,f1794,f1795,f1797,f1803,f1807,f1808,f1812,f1814,f1815,f1816,f1821,f1822,f1825,f1830,f1834,f1835,f1839,f1840,f1848,f1849,f1857,f1858,f1860,f1866,f1867,f1875,f1876,f1879,f1880,f1884,f1885,f1887,f1888,f1893,f1895,f1896,f1898,f1902,f1906,f1907,f1912,f1920,f1921,f1929,f1938,f1947,f1956,f1966,f1967,f1968,f1970,f1975,f1978,f1979,f1980,f1986,f2035,f2038,f2129,f2132,f2145,f2164,f2167,f2170,f2173,f2197,f2225,f2274,f2279,f2284,f2287,f2293,f2308,f2318,f2325,f2328,f2337,f2360,f2363,f2379,f2387,f2410,f2413,f2416,f2423,f2457,f2476,f2482,f2483,f2484,f2485,f2490,f2491,f2499,f2504,f2507,f2511,f2515,f2555,f2559,f2563,f2578,f2592,f2599,f2610,f2617,f2620,f2639,f2642,f2651,f2656,f2659,f2663,f2664,f2666,f2670,f2673,f2676,f2721,f2733,f2743,f2746,f2751,f2775,f2797,f2811,f2817,f2846,f2861,f2867,f2885,f2889,f2891,f2898,f2901,f2904,f2910,f2947,f2971,f2974,f2979,f2981,f2987,f2991,f2995,f3001,f3009,f3011,f3015,f3016,f3021,f3051,f3103,f3155,f3180,f3211,f3265,f3270,f3275,f3279,f3281,f3283,f3286,f3289,f3328,f3332,f3333,f3334,f3337,f3341,f3343,f3347,f3349,f3353,f3354,f3357,f3358,f3365,f3370,f3372,f3383,f3386,f3389,f3390,f3391,f3393,f3394,f3395,f3397,f3402,f3411,f3415,f3427,f3437,f3439,f3443,f3446,f3447,f3454,f3460,f3464,f3465,f3468,f3469,f3470,f3482,f3488,f3491,f3503,f3506,f3509,f3512,f3518,f3522,f3532,f3570,f3587,f3596,f3628,f3631,f3640,f3654,f3671,f3677,f3694,f3702,f3703,f3704,f3711,f3775,f3819,f3824,f3828,f3834,f3835,f3838,f3846,f3857,f3864,f3865,f3869,f3884,f3886,f3892,f3897,f3902,f3903,f3909,f3926,f3946,f4014,f4147,f4153,f4167,f4180,f4183,f4191,f4197,f4219,f4226,f4264,f4272,f4286,f4291,f4304,f4308,f4310,f4320,f4326,f4335,f4340,f4346,f4362,f4368,f4380,f4385,f4426,f4428,f4444,f4449,f4464,f4516,f4546,f4568,f4578,f4584,f4596,f4600,f4605,f4632,f4649,f4738,f4770,f4799,f4806,f4837,f4851,f4880,f4888,f4897,f4909,f4936,f4983,f4996,f5029,f5042,f5043,f5045,f5047,f5057,f5065,f5072,f5078,f5121,f5150,f5158,f5161,f5164,f5185,f5417,f5468,f5473,f5500,f5566,f5588,f5595,f5599,f5601,f5626,f5663,f5710,f5713,f5724,f5746,f5845,f5902,f5914,f6226,f6227,f6233,f6250,f6251,f6260,f6271,f6272,f6298,f6320,f6324,f6326,f6328,f6333,f6351,f6457,f6465,f6471,f6489,f6499,f6509,f6546,f6582,f6608,f6613,f6616,f6635,f6676,f6681,f6702,f6716,f6720,f6803,f6806,f6814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n015.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 23:57:02 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 9.74/1.59 % Refutation found
% 9.74/1.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.74/1.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.74/1.62 % Elapsed time: 1.308443 seconds
% 9.74/1.62 % CPU time: 10.091127 seconds
% 9.74/1.62 % Total memory used: 84.373 MB
% 9.74/1.62 % Net memory used: 82.147 MB
%------------------------------------------------------------------------------