TSTP Solution File: ALG126+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG126+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:10:04 EDT 2024
% Result : Theorem 2.85s 0.74s
% Output : CNFRefutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 308
% Syntax : Number of formulae : 1636 ( 214 unt; 0 def)
% Number of atoms : 10674 (8163 equ)
% Maximal formula atoms : 208 ( 6 avg)
% Number of connectives : 15673 (6635 ~;5277 |;3470 &)
% ( 243 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 293 ( 291 usr; 292 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) )
| ( op1(e13,op1(e13,e10)) = e10
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ) )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) )
| ( op2(e23,op2(e23,e20)) = e20
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ) )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(e11,e11)
& e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11))
& e13 = op1(op1(e11,e11),op1(e11,e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(e21,e21)
& e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& e23 = op2(op2(e21,e21),op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e11) = e20
& h1(e10) = op2(e20,e20)
& h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e13) = op2(op2(e20,e20),op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e11) = e21
& h2(e10) = op2(e21,e21)
& h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e13) = op2(op2(e21,e21),op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e11) = e22
& h3(e10) = op2(e22,e22)
& h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(op2(e22,e22),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e11) = e23
& h4(e10) = op2(e23,e23)
& h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e13) = op2(op2(e23,e23),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(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(f24,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(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(f33,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(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(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(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(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(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(f58,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f59,plain,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f62,plain,
( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(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(f78,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(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(f98,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f99,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f101,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(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(f107,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f108,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f110,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,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(f130,plain,
op1(e10,e12) != op1(e13,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(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(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(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(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(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(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(f178,plain,
op2(e20,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(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f194,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(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(f209,plain,
op2(e23,e21) != op2(e23,e22),
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(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,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( pd0_1
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f242,plain,
( ( pd0_0
| ( op1(e13,op1(e13,e10)) = e10
& op1(e13,op1(e13,e11)) = e11
& op1(e13,op1(e13,e12)) = e12
& op1(e13,op1(e13,e13)) = e13
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ) )
& ( pd0_1
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
inference(formula_renaming,[status(thm)],[f10,f241,f240]) ).
fof(f243,plain,
( pd0_0
| op1(e13,op1(e13,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f247,plain,
( pd0_0
| op1(e10,e10) != e13
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f251,plain,
( pd0_1
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f254,plain,
( pd0_1
| op1(e13,e11) != e13
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f256,plain,
( pd0_1
| op1(e13,e13) != e13
| op1(e13,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f242]) ).
fof(f257,plain,
( pd0_2
=> ( ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f258,plain,
( pd0_3
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f259,plain,
( ( pd0_2
| ( op2(e23,op2(e23,e20)) = e20
& op2(e23,op2(e23,e21)) = e21
& op2(e23,op2(e23,e22)) = e22
& op2(e23,op2(e23,e23)) = e23
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ) )
& ( pd0_3
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
inference(formula_renaming,[status(thm)],[f11,f258,f257]) ).
fof(f260,plain,
( pd0_2
| op2(e23,op2(e23,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f261,plain,
( pd0_2
| op2(e23,op2(e23,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f262,plain,
( pd0_2
| op2(e23,op2(e23,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f263,plain,
( pd0_2
| op2(e23,op2(e23,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f264,plain,
( pd0_2
| op2(e20,e20) != e23
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f268,plain,
( pd0_3
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f271,plain,
( pd0_3
| op2(e23,e21) != e23
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f273,plain,
( pd0_3
| op2(e23,e23) != e23
| op2(e23,e23) != e23 ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f274,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f275,plain,
e12 = op1(op1(op1(e11,e11),op1(e11,e11)),op1(e11,e11)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f276,plain,
e13 = op1(op1(e11,e11),op1(e11,e11)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f277,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f278,plain,
e22 = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f279,plain,
e23 = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f280,plain,
h1(e11) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f281,plain,
h1(e10) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f282,plain,
h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f283,plain,
h1(e13) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f284,plain,
h2(e11) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f285,plain,
h2(e10) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f286,plain,
h2(e12) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f287,plain,
h2(e13) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f288,plain,
h3(e11) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f289,plain,
h3(e10) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f290,plain,
h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f291,plain,
h3(e13) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f292,plain,
h4(e11) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f293,plain,
h4(e10) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f294,plain,
h4(e12) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f295,plain,
h4(e13) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f296,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(f297,plain,
( pd0_4
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f296]) ).
fof(f298,plain,
( pd0_5
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f296]) ).
fof(f299,plain,
( pd0_6
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f296]) ).
fof(f300,plain,
( pd0_7
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f296]) ).
fof(f301,plain,
( pd0_8
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f296]) ).
fof(f302,plain,
( pd0_9
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f296]) ).
fof(f303,plain,
( pd0_10
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f296]) ).
fof(f304,plain,
( pd0_11
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f296]) ).
fof(f305,plain,
( pd0_12
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f296]) ).
fof(f306,plain,
( pd0_13
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f296]) ).
fof(f307,plain,
( pd0_14
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f296]) ).
fof(f308,plain,
( pd0_15
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f296]) ).
fof(f309,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_4
| pd0_5
| pd0_6
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_7
| pd0_8
| pd0_9
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_10
| pd0_11
| pd0_12
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_13
| pd0_14
| pd0_15
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f296,f308,f307,f306,f305,f304,f303,f302,f301,f300,f299,f298,f297]) ).
fof(f317,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_7
| pd0_8
| pd0_9
| h2(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f309]) ).
fof(f326,plain,
( ~ pd0_0
| ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) )
| ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f327,plain,
( pd0_16
=> ( ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) ) ) ),
introduced(predicate_definition,[f326]) ).
fof(f328,plain,
( ~ pd0_0
| pd0_16
| ( op1(e12,op1(e12,e10)) = e10
& op1(e12,op1(e12,e11)) = e11
& op1(e12,op1(e12,e12)) = e12
& op1(e12,op1(e12,e13)) = e13
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 ) ) ),
inference(formula_renaming,[status(thm)],[f326,f327]) ).
fof(f331,plain,
( ~ pd0_0
| pd0_16
| op1(e12,op1(e12,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f332,plain,
( ~ pd0_0
| pd0_16
| op1(e12,op1(e12,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f328]) ).
fof(f337,plain,
( ~ pd0_1
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f241]) ).
fof(f338,plain,
( pd0_17
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f337]) ).
fof(f339,plain,
( ~ pd0_1
| pd0_17
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f337,f338]) ).
fof(f340,plain,
( ~ pd0_1
| pd0_17
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f341,plain,
( ~ pd0_1
| pd0_17
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f346,plain,
( ~ pd0_2
| ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) )
| ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f257]) ).
fof(f347,plain,
( pd0_18
=> ( ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) ) ) ),
introduced(predicate_definition,[f346]) ).
fof(f348,plain,
( ~ pd0_2
| pd0_18
| ( op2(e22,op2(e22,e20)) = e20
& op2(e22,op2(e22,e21)) = e21
& op2(e22,op2(e22,e22)) = e22
& op2(e22,op2(e22,e23)) = e23
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 ) ) ),
inference(formula_renaming,[status(thm)],[f346,f347]) ).
fof(f349,plain,
( ~ pd0_2
| pd0_18
| op2(e22,op2(e22,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f350,plain,
( ~ pd0_2
| pd0_18
| op2(e22,op2(e22,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f351,plain,
( ~ pd0_2
| pd0_18
| op2(e22,op2(e22,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f348]) ).
fof(f357,plain,
( ~ pd0_3
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f258]) ).
fof(f358,plain,
( pd0_19
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f357]) ).
fof(f359,plain,
( ~ pd0_3
| pd0_19
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f357,f358]) ).
fof(f360,plain,
( ~ pd0_3
| pd0_19
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f361,plain,
( ~ pd0_3
| pd0_19
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f366,plain,
( ~ pd0_4
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f368,plain,
( ~ pd0_4
| h1(e11) != e20 ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f381,plain,
( ~ pd0_7
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f300]) ).
fof(f382,plain,
( ~ pd0_7
| h2(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f381]) ).
fof(f386,plain,
( ~ pd0_8
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f301]) ).
fof(f388,plain,
( ~ pd0_8
| h2(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f386]) ).
fof(f391,plain,
( ~ pd0_9
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f302]) ).
fof(f394,plain,
( ~ pd0_9
| h2(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f391]) ).
fof(f396,plain,
( ~ pd0_10
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f303]) ).
fof(f400,plain,
( ~ pd0_10
| h3(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f396]) ).
fof(f406,plain,
( ~ pd0_12
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f305]) ).
fof(f408,plain,
( ~ pd0_12
| h3(e11) != e22 ),
inference(cnf_transformation,[status(esa)],[f406]) ).
fof(f411,plain,
( ~ pd0_13
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f306]) ).
fof(f412,plain,
( ~ pd0_13
| h4(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f411]) ).
fof(f421,plain,
( ~ pd0_15
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f308]) ).
fof(f424,plain,
( ~ pd0_15
| h4(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f421]) ).
fof(f426,plain,
( ~ pd0_16
| ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) )
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f327]) ).
fof(f427,plain,
( pd0_20
=> ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) ) ),
introduced(predicate_definition,[f426]) ).
fof(f428,plain,
( ~ pd0_16
| pd0_20
| ( op1(e11,op1(e11,e10)) = e10
& op1(e11,op1(e11,e11)) = e11
& op1(e11,op1(e11,e12)) = e12
& op1(e11,op1(e11,e13)) = e13
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 ) ) ),
inference(formula_renaming,[status(thm)],[f426,f427]) ).
fof(f429,plain,
( ~ pd0_16
| pd0_20
| op1(e11,op1(e11,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f430,plain,
( ~ pd0_16
| pd0_20
| op1(e11,op1(e11,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f431,plain,
( ~ pd0_16
| pd0_20
| op1(e11,op1(e11,e12)) = e12 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f432,plain,
( ~ pd0_16
| pd0_20
| op1(e11,op1(e11,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f433,plain,
( ~ pd0_16
| pd0_20
| op1(e10,e10) != e11
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f435,plain,
( ~ pd0_16
| pd0_20
| op1(e12,e12) != e11
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f428]) ).
fof(f437,plain,
( ~ pd0_17
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f338]) ).
fof(f438,plain,
( pd0_21
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ) ),
introduced(predicate_definition,[f437]) ).
fof(f439,plain,
( ~ pd0_17
| pd0_21
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f437,f438]) ).
fof(f441,plain,
( ~ pd0_17
| pd0_21
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f439]) ).
fof(f442,plain,
( ~ pd0_17
| pd0_21
| op1(e11,e10) != e11
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f439]) ).
fof(f446,plain,
( ~ pd0_18
| ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) )
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f347]) ).
fof(f447,plain,
( pd0_22
=> ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) ) ),
introduced(predicate_definition,[f446]) ).
fof(f448,plain,
( ~ pd0_18
| pd0_22
| ( op2(e21,op2(e21,e20)) = e20
& op2(e21,op2(e21,e21)) = e21
& op2(e21,op2(e21,e22)) = e22
& op2(e21,op2(e21,e23)) = e23
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 ) ) ),
inference(formula_renaming,[status(thm)],[f446,f447]) ).
fof(f449,plain,
( ~ pd0_18
| pd0_22
| op2(e21,op2(e21,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f450,plain,
( ~ pd0_18
| pd0_22
| op2(e21,op2(e21,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f451,plain,
( ~ pd0_18
| pd0_22
| op2(e21,op2(e21,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f452,plain,
( ~ pd0_18
| pd0_22
| op2(e21,op2(e21,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f453,plain,
( ~ pd0_18
| pd0_22
| op2(e20,e20) != e21
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f455,plain,
( ~ pd0_18
| pd0_22
| op2(e22,e22) != e21
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f456,plain,
( ~ pd0_18
| pd0_22
| op2(e23,e23) != e21
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f457,plain,
( ~ pd0_19
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f358]) ).
fof(f458,plain,
( pd0_23
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ) ),
introduced(predicate_definition,[f457]) ).
fof(f459,plain,
( ~ pd0_19
| pd0_23
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f457,f458]) ).
fof(f460,plain,
( ~ pd0_19
| pd0_23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f461,plain,
( ~ pd0_19
| pd0_23
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f462,plain,
( ~ pd0_19
| pd0_23
| op2(e21,e20) != e21
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f466,plain,
( ~ pd0_20
| ( op1(e10,op1(e10,e10)) = e10
& op1(e10,op1(e10,e11)) = e11
& op1(e10,op1(e10,e12)) = e12
& op1(e10,op1(e10,e13)) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f427]) ).
fof(f467,plain,
( ~ pd0_20
| op1(e10,op1(e10,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f466]) ).
fof(f474,plain,
( ~ pd0_20
| op1(e13,e13) != e10
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f466]) ).
fof(f475,plain,
( ~ pd0_21
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f438]) ).
fof(f476,plain,
( pd0_24
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(predicate_definition,[f475]) ).
fof(f477,plain,
( ~ pd0_21
| pd0_24
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f475,f476]) ).
fof(f478,plain,
( ~ pd0_21
| pd0_24
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f484,plain,
( ~ pd0_22
| ( op2(e20,op2(e20,e20)) = e20
& op2(e20,op2(e20,e21)) = e21
& op2(e20,op2(e20,e22)) = e22
& op2(e20,op2(e20,e23)) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f447]) ).
fof(f485,plain,
( ~ pd0_22
| op2(e20,op2(e20,e20)) = e20 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f486,plain,
( ~ pd0_22
| op2(e20,op2(e20,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f487,plain,
( ~ pd0_22
| op2(e20,op2(e20,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f488,plain,
( ~ pd0_22
| op2(e20,op2(e20,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f491,plain,
( ~ pd0_22
| op2(e22,e22) != e20
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f492,plain,
( ~ pd0_22
| op2(e23,e23) != e20
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f484]) ).
fof(f493,plain,
( ~ pd0_23
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f458]) ).
fof(f494,plain,
( pd0_25
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(predicate_definition,[f493]) ).
fof(f495,plain,
( ~ pd0_23
| pd0_25
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f493,f494]) ).
fof(f496,plain,
( ~ pd0_23
| pd0_25
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f502,plain,
( ~ pd0_24
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f476]) ).
fof(f503,plain,
( pd0_26
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f502]) ).
fof(f504,plain,
( ~ pd0_24
| pd0_26
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f502,f503]) ).
fof(f506,plain,
( ~ pd0_24
| pd0_26
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f504]) ).
fof(f511,plain,
( ~ pd0_25
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f494]) ).
fof(f512,plain,
( pd0_27
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f511]) ).
fof(f513,plain,
( ~ pd0_25
| pd0_27
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f511,f512]) ).
fof(f514,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f515,plain,
( ~ pd0_25
| pd0_27
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f520,plain,
( ~ pd0_26
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f503]) ).
fof(f521,plain,
( pd0_28
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f520]) ).
fof(f522,plain,
( ~ pd0_26
| pd0_28
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f520,f521]) ).
fof(f523,plain,
( ~ pd0_26
| pd0_28
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f527,plain,
( ~ pd0_26
| pd0_28
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f529,plain,
( ~ pd0_27
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f512]) ).
fof(f530,plain,
( pd0_29
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f529]) ).
fof(f531,plain,
( ~ pd0_27
| pd0_29
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f529,f530]) ).
fof(f532,plain,
( ~ pd0_27
| pd0_29
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f535,plain,
( ~ pd0_27
| pd0_29
| op2(e22,e21) != e22
| op2(e22,e22) != e21 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f536,plain,
( ~ pd0_27
| pd0_29
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f537,plain,
( ~ pd0_27
| pd0_29
| op2(e22,e23) != e22
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f538,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f521]) ).
fof(f539,plain,
( pd0_30
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ) ),
introduced(predicate_definition,[f538]) ).
fof(f540,plain,
( ~ pd0_28
| pd0_30
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f538,f539]) ).
fof(f541,plain,
( ~ pd0_28
| pd0_30
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f542,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f543,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e10) != e11
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f547,plain,
( ~ pd0_29
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f530]) ).
fof(f548,plain,
( pd0_31
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ) ),
introduced(predicate_definition,[f547]) ).
fof(f549,plain,
( ~ pd0_29
| pd0_31
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f547,f548]) ).
fof(f550,plain,
( ~ pd0_29
| pd0_31
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f551,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f552,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e20) != e21
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f556,plain,
( ~ pd0_30
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f539]) ).
fof(f557,plain,
( pd0_32
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(predicate_definition,[f556]) ).
fof(f558,plain,
( ~ pd0_30
| pd0_32
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f556,f557]) ).
fof(f559,plain,
( ~ pd0_30
| pd0_32
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f558]) ).
fof(f565,plain,
( ~ pd0_31
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f548]) ).
fof(f566,plain,
( pd0_33
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(predicate_definition,[f565]) ).
fof(f567,plain,
( ~ pd0_31
| pd0_33
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f565,f566]) ).
fof(f568,plain,
( ~ pd0_31
| pd0_33
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f567]) ).
fof(f574,plain,
( ~ pd0_32
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f557]) ).
fof(f575,plain,
( pd0_34
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f574]) ).
fof(f576,plain,
( ~ pd0_32
| pd0_34
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f574,f575]) ).
fof(f577,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f583,plain,
( ~ pd0_33
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f566]) ).
fof(f584,plain,
( pd0_35
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f583]) ).
fof(f585,plain,
( ~ pd0_33
| pd0_35
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f583,f584]) ).
fof(f586,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f585]) ).
fof(f592,plain,
( ~ pd0_34
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f575]) ).
fof(f593,plain,
( pd0_36
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f592]) ).
fof(f594,plain,
( ~ pd0_34
| pd0_36
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f592,f593]) ).
fof(f595,plain,
( ~ pd0_34
| pd0_36
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f596,plain,
( ~ pd0_34
| pd0_36
| op1(e12,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f599,plain,
( ~ pd0_34
| pd0_36
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f600,plain,
( ~ pd0_34
| pd0_36
| op1(e12,e13) != e12
| op1(e12,e12) != e13 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f601,plain,
( ~ pd0_35
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f584]) ).
fof(f602,plain,
( pd0_37
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f601]) ).
fof(f603,plain,
( ~ pd0_35
| pd0_37
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f601,f602]) ).
fof(f604,plain,
( ~ pd0_35
| pd0_37
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f605,plain,
( ~ pd0_35
| pd0_37
| op2(e22,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f607,plain,
( ~ pd0_35
| pd0_37
| op2(e22,e21) != e22
| op2(e22,e22) != e21 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f608,plain,
( ~ pd0_35
| pd0_37
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f609,plain,
( ~ pd0_35
| pd0_37
| op2(e22,e23) != e22
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f610,plain,
( ~ pd0_36
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f593]) ).
fof(f611,plain,
( pd0_38
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ) ),
introduced(predicate_definition,[f610]) ).
fof(f612,plain,
( ~ pd0_36
| pd0_38
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f610,f611]) ).
fof(f615,plain,
( ~ pd0_36
| pd0_38
| op1(e11,e10) != e11
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f619,plain,
( ~ pd0_37
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f602]) ).
fof(f620,plain,
( pd0_39
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ) ),
introduced(predicate_definition,[f619]) ).
fof(f621,plain,
( ~ pd0_37
| pd0_39
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f619,f620]) ).
fof(f624,plain,
( ~ pd0_37
| pd0_39
| op2(e21,e20) != e21
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f628,plain,
( ~ pd0_38
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f611]) ).
fof(f629,plain,
( pd0_40
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ) ),
introduced(predicate_definition,[f628]) ).
fof(f630,plain,
( ~ pd0_38
| pd0_40
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f628,f629]) ).
fof(f632,plain,
( ~ pd0_38
| pd0_40
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f630]) ).
fof(f636,plain,
( ~ pd0_38
| pd0_40
| op1(e10,e13) != e10
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[status(esa)],[f630]) ).
fof(f637,plain,
( ~ pd0_39
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f620]) ).
fof(f638,plain,
( pd0_41
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ) ),
introduced(predicate_definition,[f637]) ).
fof(f639,plain,
( ~ pd0_39
| pd0_41
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f637,f638]) ).
fof(f641,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f639]) ).
fof(f644,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e22) != e20
| op2(e20,e20) != e22 ),
inference(cnf_transformation,[status(esa)],[f639]) ).
fof(f645,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e23) != e20
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[status(esa)],[f639]) ).
fof(f646,plain,
( ~ pd0_40
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f629]) ).
fof(f647,plain,
( pd0_42
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ) ),
introduced(predicate_definition,[f646]) ).
fof(f648,plain,
( ~ pd0_40
| pd0_42
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& ( op1(e13,e10) != e13
| op1(e13,e13) != e10 )
& ( op1(e13,e11) != e13
| op1(e13,e13) != e11 )
& ( op1(e13,e12) != e13
| op1(e13,e13) != e12 )
& ( op1(e13,e13) != e13
| op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f646,f647]) ).
fof(f649,plain,
( ~ pd0_40
| pd0_42
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f648]) ).
fof(f650,plain,
( ~ pd0_40
| pd0_42
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f648]) ).
fof(f654,plain,
( ~ pd0_40
| pd0_42
| op1(e13,e13) != e13
| op1(e13,e13) != e13 ),
inference(cnf_transformation,[status(esa)],[f648]) ).
fof(f655,plain,
( ~ pd0_41
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f638]) ).
fof(f656,plain,
( pd0_43
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ) ),
introduced(predicate_definition,[f655]) ).
fof(f657,plain,
( ~ pd0_41
| pd0_43
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& ( op2(e23,e20) != e23
| op2(e23,e23) != e20 )
& ( op2(e23,e21) != e23
| op2(e23,e23) != e21 )
& ( op2(e23,e22) != e23
| op2(e23,e23) != e22 )
& ( op2(e23,e23) != e23
| op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f655,f656]) ).
fof(f658,plain,
( ~ pd0_41
| pd0_43
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f657]) ).
fof(f659,plain,
( ~ pd0_41
| pd0_43
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f657]) ).
fof(f664,plain,
( ~ pd0_42
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f647]) ).
fof(f665,plain,
( pd0_44
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ) ),
introduced(predicate_definition,[f664]) ).
fof(f666,plain,
( ~ pd0_42
| pd0_44
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& ( op1(e12,e10) != e12
| op1(e12,e12) != e10 )
& ( op1(e12,e11) != e12
| op1(e12,e12) != e11 )
& ( op1(e12,e12) != e12
| op1(e12,e12) != e12 )
& ( op1(e12,e13) != e12
| op1(e12,e12) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f664,f665]) ).
fof(f667,plain,
( ~ pd0_42
| pd0_44
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f666]) ).
fof(f668,plain,
( ~ pd0_42
| pd0_44
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f666]) ).
fof(f670,plain,
( ~ pd0_42
| pd0_44
| op1(e12,e11) != e12
| op1(e12,e12) != e11 ),
inference(cnf_transformation,[status(esa)],[f666]) ).
fof(f671,plain,
( ~ pd0_42
| pd0_44
| op1(e12,e12) != e12
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f666]) ).
fof(f672,plain,
( ~ pd0_42
| pd0_44
| op1(e12,e13) != e12
| op1(e12,e12) != e13 ),
inference(cnf_transformation,[status(esa)],[f666]) ).
fof(f673,plain,
( ~ pd0_43
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f656]) ).
fof(f674,plain,
( pd0_45
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ) ),
introduced(predicate_definition,[f673]) ).
fof(f675,plain,
( ~ pd0_43
| pd0_45
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& ( op2(e22,e20) != e22
| op2(e22,e22) != e20 )
& ( op2(e22,e21) != e22
| op2(e22,e22) != e21 )
& ( op2(e22,e22) != e22
| op2(e22,e22) != e22 )
& ( op2(e22,e23) != e22
| op2(e22,e22) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f673,f674]) ).
fof(f676,plain,
( ~ pd0_43
| pd0_45
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f675]) ).
fof(f679,plain,
( ~ pd0_43
| pd0_45
| op2(e22,e21) != e22
| op2(e22,e22) != e21 ),
inference(cnf_transformation,[status(esa)],[f675]) ).
fof(f680,plain,
( ~ pd0_43
| pd0_45
| op2(e22,e22) != e22
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f675]) ).
fof(f681,plain,
( ~ pd0_43
| pd0_45
| op2(e22,e23) != e22
| op2(e22,e22) != e23 ),
inference(cnf_transformation,[status(esa)],[f675]) ).
fof(f682,plain,
( ~ pd0_44
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f665]) ).
fof(f683,plain,
( pd0_46
=> ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
introduced(predicate_definition,[f682]) ).
fof(f684,plain,
( ~ pd0_44
| pd0_46
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& ( op1(e11,e10) != e11
| op1(e11,e11) != e10 )
& ( op1(e11,e11) != e11
| op1(e11,e11) != e11 )
& ( op1(e11,e12) != e11
| op1(e11,e11) != e12 )
& ( op1(e11,e13) != e11
| op1(e11,e11) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f682,f683]) ).
fof(f685,plain,
( ~ pd0_44
| pd0_46
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f684]) ).
fof(f691,plain,
( ~ pd0_45
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f674]) ).
fof(f692,plain,
( pd0_47
=> ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
introduced(predicate_definition,[f691]) ).
fof(f693,plain,
( ~ pd0_45
| pd0_47
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& ( op2(e21,e20) != e21
| op2(e21,e21) != e20 )
& ( op2(e21,e21) != e21
| op2(e21,e21) != e21 )
& ( op2(e21,e22) != e21
| op2(e21,e21) != e22 )
& ( op2(e21,e23) != e21
| op2(e21,e21) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f691,f692]) ).
fof(f694,plain,
( ~ pd0_45
| pd0_47
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f693]) ).
fof(f700,plain,
( ~ pd0_46
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& ( op1(e10,e10) != e10
| op1(e10,e10) != e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) != e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) != e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) != e13 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f683]) ).
fof(f701,plain,
( ~ pd0_46
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f700]) ).
fof(f706,plain,
( ~ pd0_46
| op1(e10,e13) != e10
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[status(esa)],[f700]) ).
fof(f707,plain,
( ~ pd0_47
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& ( op2(e20,e20) != e20
| op2(e20,e20) != e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) != e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) != e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f692]) ).
fof(f708,plain,
( ~ pd0_47
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f707]) ).
fof(f710,plain,
( ~ pd0_47
| op2(e20,e20) != e20
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f707]) ).
fof(f712,plain,
( ~ pd0_47
| op2(e20,e22) != e20
| op2(e20,e20) != e22 ),
inference(cnf_transformation,[status(esa)],[f707]) ).
fof(f713,plain,
( ~ pd0_47
| op2(e20,e23) != e20
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[status(esa)],[f707]) ).
fof(f714,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f715,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f720,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( op1(e10,e10) != e13
| spl0_3 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f727,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f728,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f727]) ).
fof(f730,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f731,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f730]) ).
fof(f733,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f21,f727,f730,f733,f736]) ).
fof(f740,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f22,f740,f743,f746,f749]) ).
fof(f753,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f754,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f757,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f756]) ).
fof(f759,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f23,f753,f756,f759,f762]) ).
fof(f766,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f767,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f24,f766,f769,f772,f775]) ).
fof(f779,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f785,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f792,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f793,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f795,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f798,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f805,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f806,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f809,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f805,f808,f811,f814]) ).
fof(f818,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f822,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f821]) ).
fof(f824,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f28,f818,f821,f824,f827]) ).
fof(f831,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f832,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f844,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f848,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f853,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f854,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f853]) ).
fof(f857,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f858,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f861,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f860]) ).
fof(f863,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f866,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f31,f857,f860,f863,f866]) ).
fof(f870,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f874,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f879,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f880,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f879]) ).
fof(f883,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f884,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f883]) ).
fof(f886,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f887,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f893,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f892]) ).
fof(f895,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f33,f883,f886,f889,f892]) ).
fof(f896,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f897,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f898,plain,
( op1(e13,e12) != e10
| spl0_56 ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f899,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f900,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f903,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f906,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f896,f899,f902,f905]) ).
fof(f909,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f910,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f915,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f916,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f922,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f36,f714,f727,f740,f753]) ).
fof(f927,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f720,f772,f824,f876]) ).
fof(f930,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f766,f779,f792,f805]) ).
fof(f934,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f48,f772,f785,f798,f811]) ).
fof(f935,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f49,f733,f785,f837,f889]) ).
fof(f936,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f50,f775,f788,f801,f814]) ).
fof(f937,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f736,f788,f840,f892]) ).
fof(f940,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f821,f834,f847,f860]) ).
fof(f942,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f824,f837,f850,f863]) ).
fof(f943,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f746,f798,f850,f902]) ).
fof(f944,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f827,f840,f853,f866]) ).
fof(f945,plain,
( spl0_11
| spl0_27
| spl0_43
| spl0_59 ),
inference(split_clause,[status(thm)],[f59,f749,f801,f853,f905]) ).
fof(f946,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f60,f870,f883,f896,f909]) ).
fof(f948,plain,
( spl0_49
| spl0_53
| spl0_57
| spl0_61 ),
inference(split_clause,[status(thm)],[f62,f873,f886,f899,f912]) ).
fof(f953,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f762,f814,f866,f918]) ).
fof(f954,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f957,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f960,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f963,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( op2(e20,e20) != e23
| spl0_67 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f967,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f968,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f970,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f971,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f973,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f69,f967,f970,f973,f976]) ).
fof(f980,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f981,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f984,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f987,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f980,f983,f986,f989]) ).
fof(f993,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f994,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f997,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f71,f993,f996,f999,f1002]) ).
fof(f1006,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1010,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f1009]) ).
fof(f1012,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1013,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f1012]) ).
fof(f1015,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f72,f1006,f1009,f1012,f1015]) ).
fof(f1019,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1021,plain,
( op2(e21,e21) != e20
| spl0_84 ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1025,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1026,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1029,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1032,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1033,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1038,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1042,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1045,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1046,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f1045]) ).
fof(f1048,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1049,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1052,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1055,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f1045,f1048,f1051,f1054]) ).
fof(f1058,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1059,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1062,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( spl0_96
| spl0_97
| spl0_98
| spl0_99 ),
inference(split_clause,[status(thm)],[f76,f1058,f1061,f1064,f1067]) ).
fof(f1071,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1072,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1075,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f1074]) ).
fof(f1077,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1078,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1081,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1080]) ).
fof(f1083,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f77,f1071,f1074,f1077,f1080]) ).
fof(f1084,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1087,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( op2(e22,e22) != e21
| spl0_105 ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1093,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1094,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f1084,f1087,f1090,f1093]) ).
fof(f1097,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1100,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1101,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f1100]) ).
fof(f1103,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1106,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1107,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1106]) ).
fof(f1109,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111 ),
inference(split_clause,[status(thm)],[f79,f1097,f1100,f1103,f1106]) ).
fof(f1110,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1111,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1114,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1116,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1119,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1120,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f1119]) ).
fof(f1122,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f1110,f1113,f1116,f1119]) ).
fof(f1123,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1124,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1123]) ).
fof(f1126,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1127,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1130,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f1129]) ).
fof(f1132,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1133,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1135,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f1123,f1126,f1129,f1132]) ).
fof(f1136,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1137,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f1136]) ).
fof(f1139,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1140,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f1139]) ).
fof(f1142,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1143,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f1142]) ).
fof(f1145,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1146,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f1145]) ).
fof(f1148,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123 ),
inference(split_clause,[status(thm)],[f82,f1136,f1139,f1142,f1145]) ).
fof(f1149,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1150,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f1149]) ).
fof(f1152,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1158,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f954,f967,f980,f993]) ).
fof(f1174,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f1012,f1025,f1038,f1051]) ).
fof(f1175,plain,
( spl0_70
| spl0_86
| spl0_102
| spl0_118 ),
inference(split_clause,[status(thm)],[f97,f973,f1025,f1077,f1129]) ).
fof(f1176,plain,
( spl0_83
| spl0_87
| spl0_91
| spl0_95 ),
inference(split_clause,[status(thm)],[f98,f1015,f1028,f1041,f1054]) ).
fof(f1177,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f976,f1028,f1080,f1132]) ).
fof(f1179,plain,
( spl0_72
| spl0_88
| spl0_104
| spl0_120 ),
inference(split_clause,[status(thm)],[f101,f980,f1032,f1084,f1136]) ).
fof(f1180,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f102,f1061,f1074,f1087,f1100]) ).
fof(f1182,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f1064,f1077,f1090,f1103]) ).
fof(f1183,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f986,f1038,f1090,f1142]) ).
fof(f1184,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f1067,f1080,f1093,f1106]) ).
fof(f1185,plain,
( spl0_75
| spl0_91
| spl0_107
| spl0_123 ),
inference(split_clause,[status(thm)],[f107,f989,f1041,f1093,f1145]) ).
fof(f1186,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f1110,f1123,f1136,f1149]) ).
fof(f1187,plain,
( spl0_76
| spl0_92
| spl0_108
| spl0_124 ),
inference(split_clause,[status(thm)],[f109,f993,f1045,f1097,f1149]) ).
fof(f1188,plain,
( spl0_113
| spl0_117
| spl0_121
| spl0_125 ),
inference(split_clause,[status(thm)],[f110,f1113,f1126,f1139,f1152]) ).
fof(f1189,plain,
( spl0_77
| spl0_93
| spl0_109
| spl0_125 ),
inference(split_clause,[status(thm)],[f111,f996,f1048,f1100,f1152]) ).
fof(f1192,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f1119,f1132,f1145,f1158]) ).
fof(f1193,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f1002,f1054,f1106,f1158]) ).
fof(f1194,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1197,plain,
( spl0_129
<=> op1(e13,op1(e13,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1198,plain,
( op1(e13,op1(e13,e10)) = e10
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f1197]) ).
fof(f1200,plain,
( spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f243,f1194,f1197]) ).
fof(f1213,plain,
( spl0_128
| ~ spl0_3
| spl0_12 ),
inference(split_clause,[status(thm)],[f247,f1194,f723,f753]) ).
fof(f1217,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1220,plain,
( spl0_133
| spl0_63 ),
inference(split_clause,[status(thm)],[f251,f1217,f918]) ).
fof(f1223,plain,
( spl0_133
| ~ spl0_55
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f254,f1217,f892,f912]) ).
fof(f1225,plain,
( spl0_133
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f256,f1217,f918]) ).
fof(f1226,plain,
( spl0_134
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1229,plain,
( spl0_135
<=> op2(e23,op2(e23,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1232,plain,
( spl0_134
| spl0_135 ),
inference(split_clause,[status(thm)],[f260,f1226,f1229]) ).
fof(f1233,plain,
( spl0_136
<=> op2(e23,op2(e23,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1236,plain,
( spl0_134
| spl0_136 ),
inference(split_clause,[status(thm)],[f261,f1226,f1233]) ).
fof(f1237,plain,
( spl0_137
<=> op2(e23,op2(e23,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1240,plain,
( spl0_134
| spl0_137 ),
inference(split_clause,[status(thm)],[f262,f1226,f1237]) ).
fof(f1241,plain,
( spl0_138
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1242,plain,
( op2(e23,op2(e23,e23)) = e23
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,plain,
( spl0_134
| spl0_138 ),
inference(split_clause,[status(thm)],[f263,f1226,f1241]) ).
fof(f1245,plain,
( spl0_134
| ~ spl0_67
| spl0_76 ),
inference(split_clause,[status(thm)],[f264,f1226,f963,f993]) ).
fof(f1249,plain,
( spl0_139
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1252,plain,
( spl0_139
| spl0_127 ),
inference(split_clause,[status(thm)],[f268,f1249,f1158]) ).
fof(f1255,plain,
( spl0_139
| ~ spl0_119
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f271,f1249,f1132,f1152]) ).
fof(f1257,plain,
( spl0_139
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f273,f1249,f1158]) ).
fof(f1258,plain,
( spl0_140
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1260,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl0_140 ),
inference(component_clause,[status(thm)],[f1258]) ).
fof(f1273,plain,
( spl0_145
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1275,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl0_145 ),
inference(component_clause,[status(thm)],[f1273]) ).
fof(f1294,plain,
( spl0_152
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1296,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl0_152 ),
inference(component_clause,[status(thm)],[f1294]) ).
fof(f1303,plain,
( spl0_155
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1305,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_155 ),
inference(component_clause,[status(thm)],[f1303]) ).
fof(f1306,plain,
( spl0_156
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1315,plain,
( spl0_159
<=> h1(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1317,plain,
( h1(e10) != e23
| spl0_159 ),
inference(component_clause,[status(thm)],[f1315]) ).
fof(f1331,plain,
( spl0_163
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1333,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_163 ),
inference(component_clause,[status(thm)],[f1331]) ).
fof(f1334,plain,
( spl0_164
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1335,plain,
( h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
| ~ spl0_164 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1336,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1334]) ).
fof(f1337,plain,
( spl0_165
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1339,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1337]) ).
fof(f1340,plain,
( spl0_166
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1342,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1340]) ).
fof(f1343,plain,
( spl0_167
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1345,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1343]) ).
fof(f1346,plain,
( spl0_168
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1348,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1349,plain,
( spl0_169
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1351,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1349]) ).
fof(f1352,plain,
( spl0_170
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1354,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1352]) ).
fof(f1355,plain,
( spl0_171
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1357,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1355]) ).
fof(f1358,plain,
( spl0_172
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1359,plain,
( h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
| ~ spl0_172 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1360,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_172 ),
inference(component_clause,[status(thm)],[f1358]) ).
fof(f1361,plain,
( spl0_173
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1363,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_173 ),
inference(component_clause,[status(thm)],[f1361]) ).
fof(f1364,plain,
( spl0_174
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1366,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1364]) ).
fof(f1367,plain,
( spl0_175
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1369,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_175 ),
inference(component_clause,[status(thm)],[f1367]) ).
fof(f1370,plain,
( spl0_176
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1372,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_176 ),
inference(component_clause,[status(thm)],[f1370]) ).
fof(f1373,plain,
( spl0_177
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1375,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_177 ),
inference(component_clause,[status(thm)],[f1373]) ).
fof(f1376,plain,
( spl0_178
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1378,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_178 ),
inference(component_clause,[status(thm)],[f1376]) ).
fof(f1379,plain,
( spl0_179
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1382,plain,
( spl0_180
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1385,plain,
( spl0_181
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1400,plain,
( spl0_185
<=> h2(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1402,plain,
( h2(e13) != e23
| spl0_185 ),
inference(component_clause,[status(thm)],[f1400]) ).
fof(f1403,plain,
( ~ spl0_163
| ~ spl0_164
| ~ spl0_165
| ~ spl0_166
| ~ spl0_167
| ~ spl0_168
| ~ spl0_169
| ~ spl0_170
| ~ spl0_171
| ~ spl0_172
| ~ spl0_173
| ~ spl0_174
| ~ spl0_175
| ~ spl0_176
| ~ spl0_177
| ~ spl0_178
| spl0_179
| spl0_180
| spl0_181
| ~ spl0_185 ),
inference(split_clause,[status(thm)],[f317,f1331,f1334,f1337,f1340,f1343,f1346,f1349,f1352,f1355,f1358,f1361,f1364,f1367,f1370,f1373,f1376,f1379,f1382,f1385,f1400]) ).
fof(f1404,plain,
( spl0_186
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1406,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1404]) ).
fof(f1416,plain,
( spl0_190
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1417,plain,
( h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1418,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1416]) ).
fof(f1419,plain,
( spl0_191
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1421,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1419]) ).
fof(f1425,plain,
( spl0_193
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1427,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1425]) ).
fof(f1440,plain,
( spl0_198
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1442,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1440]) ).
fof(f1443,plain,
( spl0_199
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1443]) ).
fof(f1449,plain,
( spl0_201
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1451,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_201 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( spl0_202
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1458,plain,
( spl0_204
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1461,plain,
( spl0_205
<=> h3(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1463,plain,
( h3(e10) != e23
| spl0_205 ),
inference(component_clause,[status(thm)],[f1461]) ).
fof(f1477,plain,
( spl0_209
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1479,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1477]) ).
fof(f1483,plain,
( spl0_211
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1485,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1483]) ).
fof(f1489,plain,
( spl0_213
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1490,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl0_213 ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1491,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_213 ),
inference(component_clause,[status(thm)],[f1489]) ).
fof(f1492,plain,
( spl0_214
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1494,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1501,plain,
( spl0_217
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1503,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_217 ),
inference(component_clause,[status(thm)],[f1501]) ).
fof(f1507,plain,
( spl0_219
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1509,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1507]) ).
fof(f1513,plain,
( spl0_221
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1515,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_221 ),
inference(component_clause,[status(thm)],[f1513]) ).
fof(f1519,plain,
( spl0_223
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1521,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_223 ),
inference(component_clause,[status(thm)],[f1519]) ).
fof(f1522,plain,
( spl0_224
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1524,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_224 ),
inference(component_clause,[status(thm)],[f1522]) ).
fof(f1525,plain,
( spl0_225
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1531,plain,
( spl0_227
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1538,plain,
( spl0_229
<=> h4(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1540,plain,
( h4(e11) != e23
| spl0_229 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1546,plain,
( spl0_231
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1548,plain,
( h4(e13) != e23
| spl0_231 ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1550,plain,
( spl0_232
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1561,plain,
( spl0_235
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1562,plain,
( op1(e12,op1(e12,e12)) = e12
| ~ spl0_235 ),
inference(component_clause,[status(thm)],[f1561]) ).
fof(f1564,plain,
( ~ spl0_128
| spl0_232
| spl0_235 ),
inference(split_clause,[status(thm)],[f331,f1194,f1550,f1561]) ).
fof(f1565,plain,
( spl0_236
<=> op1(e12,op1(e12,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1566,plain,
( op1(e12,op1(e12,e13)) = e13
| ~ spl0_236 ),
inference(component_clause,[status(thm)],[f1565]) ).
fof(f1568,plain,
( ~ spl0_128
| spl0_232
| spl0_236 ),
inference(split_clause,[status(thm)],[f332,f1194,f1550,f1565]) ).
fof(f1573,plain,
( spl0_237
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1576,plain,
( ~ spl0_133
| spl0_237
| spl0_59 ),
inference(split_clause,[status(thm)],[f340,f1217,f1573,f905]) ).
fof(f1577,plain,
( ~ spl0_133
| spl0_237
| spl0_47 ),
inference(split_clause,[status(thm)],[f341,f1217,f1573,f866]) ).
fof(f1582,plain,
( spl0_238
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1585,plain,
( spl0_239
<=> op2(e22,op2(e22,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1588,plain,
( ~ spl0_134
| spl0_238
| spl0_239 ),
inference(split_clause,[status(thm)],[f349,f1226,f1582,f1585]) ).
fof(f1589,plain,
( spl0_240
<=> op2(e22,op2(e22,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1590,plain,
( op2(e22,op2(e22,e21)) = e21
| ~ spl0_240 ),
inference(component_clause,[status(thm)],[f1589]) ).
fof(f1592,plain,
( ~ spl0_134
| spl0_238
| spl0_240 ),
inference(split_clause,[status(thm)],[f350,f1226,f1582,f1589]) ).
fof(f1593,plain,
( spl0_241
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1594,plain,
( op2(e22,op2(e22,e22)) = e22
| ~ spl0_241 ),
inference(component_clause,[status(thm)],[f1593]) ).
fof(f1596,plain,
( ~ spl0_134
| spl0_238
| spl0_241 ),
inference(split_clause,[status(thm)],[f351,f1226,f1582,f1593]) ).
fof(f1605,plain,
( spl0_243
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1608,plain,
( ~ spl0_139
| spl0_243
| spl0_123 ),
inference(split_clause,[status(thm)],[f360,f1249,f1605,f1145]) ).
fof(f1609,plain,
( ~ spl0_139
| spl0_243
| spl0_111 ),
inference(split_clause,[status(thm)],[f361,f1249,f1605,f1106]) ).
fof(f1618,plain,
( spl0_245
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1620,plain,
( h1(e11) != e20
| spl0_245 ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1621,plain,
( ~ spl0_156
| ~ spl0_245 ),
inference(split_clause,[status(thm)],[f368,f1306,f1618]) ).
fof(f1626,plain,
( spl0_247
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1627,plain,
( h1(e13) = e20
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( h1(e13) != e20
| spl0_247 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1654,plain,
( spl0_254
<=> h1(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1656,plain,
( h1(e12) != e22
| spl0_254 ),
inference(component_clause,[status(thm)],[f1654]) ).
fof(f1662,plain,
( spl0_256
<=> h2(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1664,plain,
( h2(e10) != e20
| spl0_256 ),
inference(component_clause,[status(thm)],[f1662]) ).
fof(f1665,plain,
( ~ spl0_179
| ~ spl0_256 ),
inference(split_clause,[status(thm)],[f382,f1379,f1662]) ).
fof(f1682,plain,
( spl0_261
<=> h2(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1684,plain,
( h2(e11) != e21
| spl0_261 ),
inference(component_clause,[status(thm)],[f1682]) ).
fof(f1685,plain,
( ~ spl0_180
| ~ spl0_261 ),
inference(split_clause,[status(thm)],[f388,f1382,f1682]) ).
fof(f1702,plain,
( spl0_266
<=> h2(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1704,plain,
( h2(e12) != e22
| spl0_266 ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f1705,plain,
( ~ spl0_181
| ~ spl0_266 ),
inference(split_clause,[status(thm)],[f394,f1385,f1702]) ).
fof(f1722,plain,
( spl0_271
<=> h3(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1724,plain,
( h3(e13) != e20
| spl0_271 ),
inference(component_clause,[status(thm)],[f1722]) ).
fof(f1725,plain,
( ~ spl0_202
| ~ spl0_271 ),
inference(split_clause,[status(thm)],[f400,f1452,f1722]) ).
fof(f1746,plain,
( spl0_277
<=> h3(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1748,plain,
( h3(e11) != e22
| spl0_277 ),
inference(component_clause,[status(thm)],[f1746]) ).
fof(f1749,plain,
( ~ spl0_204
| ~ spl0_277 ),
inference(split_clause,[status(thm)],[f408,f1458,f1746]) ).
fof(f1758,plain,
( spl0_280
<=> h4(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1759,plain,
( h4(e10) = e20
| ~ spl0_280 ),
inference(component_clause,[status(thm)],[f1758]) ).
fof(f1760,plain,
( h4(e10) != e20
| spl0_280 ),
inference(component_clause,[status(thm)],[f1758]) ).
fof(f1761,plain,
( ~ spl0_225
| ~ spl0_280 ),
inference(split_clause,[status(thm)],[f412,f1525,f1758]) ).
fof(f1798,plain,
( spl0_290
<=> h4(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1800,plain,
( h4(e12) != e22
| spl0_290 ),
inference(component_clause,[status(thm)],[f1798]) ).
fof(f1801,plain,
( ~ spl0_227
| ~ spl0_290 ),
inference(split_clause,[status(thm)],[f424,f1531,f1798]) ).
fof(f1806,plain,
( spl0_292
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1809,plain,
( spl0_293
<=> op1(e11,op1(e11,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1812,plain,
( ~ spl0_232
| spl0_292
| spl0_293 ),
inference(split_clause,[status(thm)],[f429,f1550,f1806,f1809]) ).
fof(f1813,plain,
( spl0_294
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1816,plain,
( ~ spl0_232
| spl0_292
| spl0_294 ),
inference(split_clause,[status(thm)],[f430,f1550,f1806,f1813]) ).
fof(f1817,plain,
( spl0_295
<=> op1(e11,op1(e11,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1820,plain,
( ~ spl0_232
| spl0_292
| spl0_295 ),
inference(split_clause,[status(thm)],[f431,f1550,f1806,f1817]) ).
fof(f1821,plain,
( spl0_296
<=> op1(e11,op1(e11,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1824,plain,
( ~ spl0_232
| spl0_292
| spl0_296 ),
inference(split_clause,[status(thm)],[f432,f1550,f1806,f1821]) ).
fof(f1825,plain,
( ~ spl0_232
| spl0_292
| ~ spl0_1
| spl0_4 ),
inference(split_clause,[status(thm)],[f433,f1550,f1806,f717,f727]) ).
fof(f1827,plain,
( ~ spl0_232
| spl0_292
| ~ spl0_41
| spl0_38 ),
inference(split_clause,[status(thm)],[f435,f1550,f1806,f847,f837]) ).
fof(f1829,plain,
( spl0_297
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1833,plain,
( ~ spl0_237
| spl0_297
| spl0_31 ),
inference(split_clause,[status(thm)],[f441,f1573,f1829,f814]) ).
fof(f1834,plain,
( ~ spl0_237
| spl0_297
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f442,f1573,f1829,f769,f779]) ).
fof(f1838,plain,
( spl0_298
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1841,plain,
( spl0_299
<=> op2(e21,op2(e21,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1844,plain,
( ~ spl0_238
| spl0_298
| spl0_299 ),
inference(split_clause,[status(thm)],[f449,f1582,f1838,f1841]) ).
fof(f1845,plain,
( spl0_300
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1848,plain,
( ~ spl0_238
| spl0_298
| spl0_300 ),
inference(split_clause,[status(thm)],[f450,f1582,f1838,f1845]) ).
fof(f1849,plain,
( spl0_301
<=> op2(e21,op2(e21,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1852,plain,
( ~ spl0_238
| spl0_298
| spl0_301 ),
inference(split_clause,[status(thm)],[f451,f1582,f1838,f1849]) ).
fof(f1853,plain,
( spl0_302
<=> op2(e21,op2(e21,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1856,plain,
( ~ spl0_238
| spl0_298
| spl0_302 ),
inference(split_clause,[status(thm)],[f452,f1582,f1838,f1853]) ).
fof(f1857,plain,
( ~ spl0_238
| spl0_298
| ~ spl0_65
| spl0_68 ),
inference(split_clause,[status(thm)],[f453,f1582,f1838,f957,f967]) ).
fof(f1859,plain,
( ~ spl0_238
| spl0_298
| ~ spl0_105
| spl0_102 ),
inference(split_clause,[status(thm)],[f455,f1582,f1838,f1087,f1077]) ).
fof(f1860,plain,
( ~ spl0_238
| spl0_298
| ~ spl0_125
| spl0_119 ),
inference(split_clause,[status(thm)],[f456,f1582,f1838,f1152,f1132]) ).
fof(f1861,plain,
( spl0_303
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1864,plain,
( ~ spl0_243
| spl0_303
| spl0_119 ),
inference(split_clause,[status(thm)],[f460,f1605,f1861,f1132]) ).
fof(f1865,plain,
( ~ spl0_243
| spl0_303
| spl0_95 ),
inference(split_clause,[status(thm)],[f461,f1605,f1861,f1054]) ).
fof(f1866,plain,
( ~ spl0_243
| spl0_303
| ~ spl0_81
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f462,f1605,f1861,f1009,f1019]) ).
fof(f1870,plain,
( spl0_304
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1871,plain,
( op1(e10,op1(e10,e10)) = e10
| ~ spl0_304 ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1872,plain,
( op1(e10,op1(e10,e10)) != e10
| spl0_304 ),
inference(component_clause,[status(thm)],[f1870]) ).
fof(f1873,plain,
( ~ spl0_292
| spl0_304 ),
inference(split_clause,[status(thm)],[f467,f1806,f1870]) ).
fof(f1889,plain,
( ~ spl0_292
| ~ spl0_60
| spl0_51 ),
inference(split_clause,[status(thm)],[f474,f1806,f909,f879]) ).
fof(f1890,plain,
( spl0_308
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1893,plain,
( ~ spl0_297
| spl0_308
| spl0_51 ),
inference(split_clause,[status(thm)],[f478,f1829,f1890,f879]) ).
fof(f1899,plain,
( spl0_309
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1902,plain,
( ~ spl0_298
| spl0_309 ),
inference(split_clause,[status(thm)],[f485,f1838,f1899]) ).
fof(f1903,plain,
( spl0_310
<=> op2(e20,op2(e20,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1906,plain,
( ~ spl0_298
| spl0_310 ),
inference(split_clause,[status(thm)],[f486,f1838,f1903]) ).
fof(f1907,plain,
( spl0_311
<=> op2(e20,op2(e20,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1910,plain,
( ~ spl0_298
| spl0_311 ),
inference(split_clause,[status(thm)],[f487,f1838,f1907]) ).
fof(f1911,plain,
( spl0_312
<=> op2(e20,op2(e20,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1914,plain,
( ~ spl0_298
| spl0_312 ),
inference(split_clause,[status(thm)],[f488,f1838,f1911]) ).
fof(f1917,plain,
( ~ spl0_298
| ~ spl0_104
| spl0_98 ),
inference(split_clause,[status(thm)],[f491,f1838,f1084,f1064]) ).
fof(f1918,plain,
( ~ spl0_298
| ~ spl0_124
| spl0_115 ),
inference(split_clause,[status(thm)],[f492,f1838,f1149,f1119]) ).
fof(f1919,plain,
( spl0_313
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1922,plain,
( ~ spl0_303
| spl0_313
| spl0_115 ),
inference(split_clause,[status(thm)],[f496,f1861,f1919,f1119]) ).
fof(f1928,plain,
( spl0_314
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1932,plain,
( ~ spl0_308
| spl0_314
| spl0_58 ),
inference(split_clause,[status(thm)],[f506,f1890,f1928,f902]) ).
fof(f1937,plain,
( spl0_315
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1940,plain,
( ~ spl0_313
| spl0_315
| spl0_110 ),
inference(split_clause,[status(thm)],[f514,f1919,f1937,f1103]) ).
fof(f1941,plain,
( ~ spl0_313
| spl0_315
| spl0_122 ),
inference(split_clause,[status(thm)],[f515,f1919,f1937,f1142]) ).
fof(f1946,plain,
( spl0_316
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1949,plain,
( ~ spl0_314
| spl0_316
| spl0_42 ),
inference(split_clause,[status(thm)],[f523,f1928,f1946,f850]) ).
fof(f1953,plain,
( ~ spl0_314
| spl0_316
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f527,f1928,f1946,f850]) ).
fof(f1955,plain,
( spl0_317
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1958,plain,
( ~ spl0_315
| spl0_317
| spl0_106 ),
inference(split_clause,[status(thm)],[f532,f1937,f1955,f1090]) ).
fof(f1961,plain,
( ~ spl0_315
| spl0_317
| ~ spl0_102
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f535,f1937,f1955,f1077,f1087]) ).
fof(f1962,plain,
( ~ spl0_315
| spl0_317
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f536,f1937,f1955,f1090]) ).
fof(f1963,plain,
( ~ spl0_315
| spl0_317
| ~ spl0_110
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f537,f1937,f1955,f1103,f1093]) ).
fof(f1964,plain,
( spl0_318
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1967,plain,
( ~ spl0_316
| spl0_318
| spl0_38 ),
inference(split_clause,[status(thm)],[f541,f1946,f1964,f837]) ).
fof(f1968,plain,
( ~ spl0_316
| spl0_318
| spl0_26 ),
inference(split_clause,[status(thm)],[f542,f1946,f1964,f798]) ).
fof(f1969,plain,
( ~ spl0_316
| spl0_318
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f543,f1946,f1964,f769,f779]) ).
fof(f1973,plain,
( spl0_319
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1976,plain,
( ~ spl0_317
| spl0_319
| spl0_102 ),
inference(split_clause,[status(thm)],[f550,f1955,f1973,f1077]) ).
fof(f1977,plain,
( ~ spl0_317
| spl0_319
| spl0_90 ),
inference(split_clause,[status(thm)],[f551,f1955,f1973,f1038]) ).
fof(f1978,plain,
( ~ spl0_317
| spl0_319
| ~ spl0_81
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f552,f1955,f1973,f1009,f1019]) ).
fof(f1982,plain,
( spl0_320
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1985,plain,
( ~ spl0_318
| spl0_320
| spl0_34 ),
inference(split_clause,[status(thm)],[f559,f1964,f1982,f824]) ).
fof(f1991,plain,
( spl0_321
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1994,plain,
( ~ spl0_319
| spl0_321
| spl0_98 ),
inference(split_clause,[status(thm)],[f568,f1973,f1991,f1064]) ).
fof(f2000,plain,
( spl0_322
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f2003,plain,
( ~ spl0_320
| spl0_322
| spl0_29 ),
inference(split_clause,[status(thm)],[f577,f1982,f2000,f808]) ).
fof(f2009,plain,
( spl0_323
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f2012,plain,
( ~ spl0_321
| spl0_323
| spl0_93 ),
inference(split_clause,[status(thm)],[f586,f1991,f2009,f1048]) ).
fof(f2018,plain,
( spl0_324
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f2021,plain,
( ~ spl0_322
| spl0_324
| spl0_25 ),
inference(split_clause,[status(thm)],[f595,f2000,f2018,f795]) ).
fof(f2022,plain,
( ~ spl0_322
| spl0_324
| spl0_37 ),
inference(split_clause,[status(thm)],[f596,f2000,f2018,f834]) ).
fof(f2025,plain,
( ~ spl0_322
| spl0_324
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f599,f2000,f2018,f850]) ).
fof(f2026,plain,
( ~ spl0_322
| spl0_324
| ~ spl0_46
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f600,f2000,f2018,f863,f853]) ).
fof(f2027,plain,
( spl0_325
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f2030,plain,
( ~ spl0_323
| spl0_325
| spl0_89 ),
inference(split_clause,[status(thm)],[f604,f2009,f2027,f1035]) ).
fof(f2031,plain,
( ~ spl0_323
| spl0_325
| spl0_101 ),
inference(split_clause,[status(thm)],[f605,f2009,f2027,f1074]) ).
fof(f2033,plain,
( ~ spl0_323
| spl0_325
| ~ spl0_102
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f607,f2009,f2027,f1077,f1087]) ).
fof(f2034,plain,
( ~ spl0_323
| spl0_325
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f608,f2009,f2027,f1090]) ).
fof(f2035,plain,
( ~ spl0_323
| spl0_325
| ~ spl0_110
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f609,f2009,f2027,f1103,f1093]) ).
fof(f2036,plain,
( spl0_326
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f2041,plain,
( ~ spl0_324
| spl0_326
| ~ spl0_17
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f615,f2018,f2036,f769,f779]) ).
fof(f2045,plain,
( spl0_327
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f2050,plain,
( ~ spl0_325
| spl0_327
| ~ spl0_81
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f624,f2027,f2045,f1009,f1019]) ).
fof(f2054,plain,
( spl0_328
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f2058,plain,
( ~ spl0_326
| spl0_328
| spl0_5 ),
inference(split_clause,[status(thm)],[f632,f2036,f2054,f730]) ).
fof(f2062,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_12
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f636,f2036,f2054,f753,f723]) ).
fof(f2063,plain,
( spl0_329
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f2067,plain,
( ~ spl0_327
| spl0_329
| spl0_69 ),
inference(split_clause,[status(thm)],[f641,f2045,f2063,f970]) ).
fof(f2070,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_72
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f644,f2045,f2063,f980,f960]) ).
fof(f2071,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_76
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f645,f2045,f2063,f993,f963]) ).
fof(f2072,plain,
( spl0_330
<=> pd0_42 ),
introduced(split_symbol_definition) ).
fof(f2075,plain,
( ~ spl0_328
| spl0_330
| spl0_12 ),
inference(split_clause,[status(thm)],[f649,f2054,f2072,f753]) ).
fof(f2076,plain,
( ~ spl0_328
| spl0_330
| spl0_48 ),
inference(split_clause,[status(thm)],[f650,f2054,f2072,f870]) ).
fof(f2080,plain,
( ~ spl0_328
| spl0_330
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f654,f2054,f2072,f918]) ).
fof(f2081,plain,
( spl0_331
<=> pd0_43 ),
introduced(split_symbol_definition) ).
fof(f2084,plain,
( ~ spl0_329
| spl0_331
| spl0_76 ),
inference(split_clause,[status(thm)],[f658,f2063,f2081,f993]) ).
fof(f2085,plain,
( ~ spl0_329
| spl0_331
| spl0_112 ),
inference(split_clause,[status(thm)],[f659,f2063,f2081,f1110]) ).
fof(f2090,plain,
( spl0_332
<=> pd0_44 ),
introduced(split_symbol_definition) ).
fof(f2093,plain,
( ~ spl0_330
| spl0_332
| spl0_8 ),
inference(split_clause,[status(thm)],[f667,f2072,f2090,f740]) ).
fof(f2094,plain,
( ~ spl0_330
| spl0_332
| spl0_32 ),
inference(split_clause,[status(thm)],[f668,f2072,f2090,f818]) ).
fof(f2096,plain,
( ~ spl0_330
| spl0_332
| ~ spl0_38
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f670,f2072,f2090,f837,f847]) ).
fof(f2097,plain,
( ~ spl0_330
| spl0_332
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f671,f2072,f2090,f850]) ).
fof(f2098,plain,
( ~ spl0_330
| spl0_332
| ~ spl0_46
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f672,f2072,f2090,f863,f853]) ).
fof(f2099,plain,
( spl0_333
<=> pd0_45 ),
introduced(split_symbol_definition) ).
fof(f2102,plain,
( ~ spl0_331
| spl0_333
| spl0_72 ),
inference(split_clause,[status(thm)],[f676,f2081,f2099,f980]) ).
fof(f2105,plain,
( ~ spl0_331
| spl0_333
| ~ spl0_102
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f679,f2081,f2099,f1077,f1087]) ).
fof(f2106,plain,
( ~ spl0_331
| spl0_333
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f680,f2081,f2099,f1090]) ).
fof(f2107,plain,
( ~ spl0_331
| spl0_333
| ~ spl0_110
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f681,f2081,f2099,f1103,f1093]) ).
fof(f2108,plain,
( spl0_334
<=> pd0_46 ),
introduced(split_symbol_definition) ).
fof(f2111,plain,
( ~ spl0_332
| spl0_334
| spl0_4 ),
inference(split_clause,[status(thm)],[f685,f2090,f2108,f727]) ).
fof(f2117,plain,
( spl0_335
<=> pd0_47 ),
introduced(split_symbol_definition) ).
fof(f2120,plain,
( ~ spl0_333
| spl0_335
| spl0_68 ),
inference(split_clause,[status(thm)],[f694,f2099,f2117,f967]) ).
fof(f2126,plain,
( ~ spl0_334
| spl0_0 ),
inference(split_clause,[status(thm)],[f701,f2108,f714]) ).
fof(f2131,plain,
( ~ spl0_334
| ~ spl0_12
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f706,f2108,f753,f723]) ).
fof(f2132,plain,
( ~ spl0_335
| spl0_64 ),
inference(split_clause,[status(thm)],[f708,f2117,f954]) ).
fof(f2134,plain,
( ~ spl0_335
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f710,f2117,f954]) ).
fof(f2136,plain,
( ~ spl0_335
| ~ spl0_72
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f712,f2117,f980,f960]) ).
fof(f2137,plain,
( ~ spl0_335
| ~ spl0_76
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f713,f2117,f993,f963]) ).
fof(f2138,plain,
( $false
| spl0_277 ),
inference(forward_subsumption_resolution,[status(thm)],[f288,f1748]) ).
fof(f2139,plain,
spl0_277,
inference(contradiction_clause,[status(thm)],[f2138]) ).
fof(f2144,plain,
op1(e10,e11) != e10,
inference(paramodulation,[status(thm)],[f274,f122]) ).
fof(f2145,plain,
h2(e10) = e20,
inference(forward_demodulation,[status(thm)],[f277,f285]) ).
fof(f2146,plain,
e10 != op1(e12,e11),
inference(forward_demodulation,[status(thm)],[f274,f125]) ).
fof(f2147,plain,
e10 != op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f274,f126]) ).
fof(f2148,plain,
op1(e11,e10) != e10,
inference(paramodulation,[status(thm)],[f274,f146]) ).
fof(f2152,plain,
( e21 != e21
| spl0_261 ),
inference(forward_demodulation,[status(thm)],[f284,f1684]) ).
fof(f2153,plain,
( $false
| spl0_261 ),
inference(trivial_equality_resolution,[status(esa)],[f2152]) ).
fof(f2154,plain,
spl0_261,
inference(contradiction_clause,[status(thm)],[f2153]) ).
fof(f2157,plain,
( e20 != e20
| spl0_256 ),
inference(forward_demodulation,[status(thm)],[f2145,f1664]) ).
fof(f2158,plain,
( $false
| spl0_256 ),
inference(trivial_equality_resolution,[status(esa)],[f2157]) ).
fof(f2159,plain,
spl0_256,
inference(contradiction_clause,[status(thm)],[f2158]) ).
fof(f2161,plain,
e10 != op1(e11,e12),
inference(forward_demodulation,[status(thm)],[f274,f149]) ).
fof(f2162,plain,
e10 != op1(e11,e13),
inference(forward_demodulation,[status(thm)],[f274,f150]) ).
fof(f2163,plain,
op2(e20,e21) != e20,
inference(paramodulation,[status(thm)],[f277,f170]) ).
fof(f2164,plain,
e20 != op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f277,f173]) ).
fof(f2165,plain,
e20 != op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f277,f174]) ).
fof(f2169,plain,
( e20 != e20
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f280,f1620]) ).
fof(f2170,plain,
( $false
| spl0_245 ),
inference(trivial_equality_resolution,[status(esa)],[f2169]) ).
fof(f2171,plain,
spl0_245,
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2172,plain,
( e23 != e23
| spl0_229 ),
inference(forward_demodulation,[status(thm)],[f292,f1540]) ).
fof(f2173,plain,
( $false
| spl0_229 ),
inference(trivial_equality_resolution,[status(esa)],[f2172]) ).
fof(f2174,plain,
spl0_229,
inference(contradiction_clause,[status(thm)],[f2173]) ).
fof(f2189,plain,
op2(e21,e20) != e20,
inference(paramodulation,[status(thm)],[f277,f194]) ).
fof(f2190,plain,
e20 != op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f277,f197]) ).
fof(f2191,plain,
e20 != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f277,f198]) ).
fof(f2197,plain,
( op2(e22,e20) != e20
| ~ spl0_112 ),
inference(paramodulation,[status(thm)],[f1111,f169]) ).
fof(f2198,plain,
( e20 != e20
| ~ spl0_96
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1059,f2197]) ).
fof(f2199,plain,
( $false
| ~ spl0_96
| ~ spl0_112 ),
inference(trivial_equality_resolution,[status(esa)],[f2198]) ).
fof(f2200,plain,
( ~ spl0_96
| ~ spl0_112 ),
inference(contradiction_clause,[status(thm)],[f2199]) ).
fof(f2201,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f1007,f2189]) ).
fof(f2202,plain,
~ spl0_80,
inference(contradiction_clause,[status(thm)],[f2201]) ).
fof(f2205,plain,
( op2(e20,e21) != e21
| ~ spl0_101 ),
inference(paramodulation,[status(thm)],[f1075,f171]) ).
fof(f2207,plain,
( op2(e22,e21) != e21
| ~ spl0_117 ),
inference(paramodulation,[status(thm)],[f1127,f175]) ).
fof(f2208,plain,
( e21 != e21
| ~ spl0_101
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f1075,f2207]) ).
fof(f2209,plain,
( $false
| ~ spl0_101
| ~ spl0_117 ),
inference(trivial_equality_resolution,[status(esa)],[f2208]) ).
fof(f2210,plain,
( ~ spl0_101
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2211,plain,
( op2(e20,e21) != e22
| ~ spl0_74 ),
inference(paramodulation,[status(thm)],[f987,f191]) ).
fof(f2214,plain,
( op2(e23,e20) != e22
| ~ spl0_122 ),
inference(paramodulation,[status(thm)],[f1143,f207]) ).
fof(f2221,plain,
( e21 = e22
| ~ spl0_101
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1075,f1078]) ).
fof(f2222,plain,
( $false
| ~ spl0_101
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2221,f221]) ).
fof(f2223,plain,
( ~ spl0_101
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2222]) ).
fof(f2226,plain,
( op2(e22,e21) != e23
| ~ spl0_111 ),
inference(paramodulation,[status(thm)],[f1107,f204]) ).
fof(f2229,plain,
( op2(e21,e23) != e23
| ~ spl0_111 ),
inference(paramodulation,[status(thm)],[f1107,f185]) ).
fof(f2231,plain,
( op2(e21,e22) != e23
| ~ spl0_95 ),
inference(paramodulation,[status(thm)],[f1055,f199]) ).
fof(f2235,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f767,f2148]) ).
fof(f2236,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f2235]) ).
fof(f2237,plain,
( h4(e10) != op2(h4(e12),h4(e10))
| ~ spl0_32
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f819,f1503]) ).
fof(f2241,plain,
( op1(e12,e10) != e10
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f871,f121]) ).
fof(f2242,plain,
( e10 != e10
| ~ spl0_32
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f819,f2241]) ).
fof(f2243,plain,
( $false
| ~ spl0_32
| ~ spl0_48 ),
inference(trivial_equality_resolution,[status(esa)],[f2242]) ).
fof(f2244,plain,
( ~ spl0_32
| ~ spl0_48 ),
inference(contradiction_clause,[status(thm)],[f2243]) ).
fof(f2246,plain,
( h4(e10) != op2(h4(e11),h4(e11))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f274,f1494]) ).
fof(f2247,plain,
( h4(e10) != op2(e23,h4(e11))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f292,f2246]) ).
fof(f2248,plain,
( h4(e10) != op2(e23,e23)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f292,f2247]) ).
fof(f2249,plain,
( h4(e10) != h4(e10)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f293,f2248]) ).
fof(f2250,plain,
( $false
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f2249]) ).
fof(f2251,plain,
spl0_214,
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2262,plain,
( op1(e12,e11) != e11
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f887,f127]) ).
fof(f2263,plain,
( e11 != e11
| ~ spl0_37
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f835,f2262]) ).
fof(f2264,plain,
( $false
| ~ spl0_37
| ~ spl0_53 ),
inference(trivial_equality_resolution,[status(esa)],[f2263]) ).
fof(f2265,plain,
( ~ spl0_37
| ~ spl0_53 ),
inference(contradiction_clause,[status(thm)],[f2264]) ).
fof(f2266,plain,
( op1(e10,e11) != e12
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f747,f143]) ).
fof(f2270,plain,
( op1(e13,e10) != e12
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f903,f159]) ).
fof(f2277,plain,
( e11 = e12
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f835,f838]) ).
fof(f2278,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2277,f215]) ).
fof(f2279,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2278]) ).
fof(f2281,plain,
( h4(op1(e11,e10)) != op2(e23,h4(e10))
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f292,f1491]) ).
fof(f2284,plain,
e12 = op1(op1(e10,op1(e11,e11)),op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f274,f275]) ).
fof(f2285,plain,
e12 = op1(op1(e10,e10),op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f274,f2284]) ).
fof(f2286,plain,
e12 = op1(op1(e10,e10),e10),
inference(forward_demodulation,[status(thm)],[f274,f2285]) ).
fof(f2287,plain,
e13 = op1(e10,op1(e11,e11)),
inference(forward_demodulation,[status(thm)],[f274,f276]) ).
fof(f2288,plain,
e13 = op1(e10,e10),
inference(forward_demodulation,[status(thm)],[f274,f2287]) ).
fof(f2289,plain,
e12 = op1(e13,e10),
inference(backward_demodulation,[status(thm)],[f2288,f2286]) ).
fof(f2290,plain,
op1(e12,e10) != e12,
inference(paramodulation,[status(thm)],[f2289,f121]) ).
fof(f2292,plain,
op1(e11,e10) != e12,
inference(paramodulation,[status(thm)],[f2289,f120]) ).
fof(f2293,plain,
op1(e10,e10) != e12,
inference(paramodulation,[status(thm)],[f2289,f118]) ).
fof(f2295,plain,
e23 = op2(e20,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f279]) ).
fof(f2296,plain,
e23 = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f277,f2295]) ).
fof(f2297,plain,
h1(e10) = e23,
inference(backward_demodulation,[status(thm)],[f2296,f281]) ).
fof(f2298,plain,
( $false
| spl0_159 ),
inference(forward_subsumption_resolution,[status(thm)],[f2297,f1317]) ).
fof(f2299,plain,
spl0_159,
inference(contradiction_clause,[status(thm)],[f2298]) ).
fof(f2303,plain,
h1(e13) = op2(e23,op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f2296,f283]) ).
fof(f2304,plain,
h1(e13) = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f2296,f2303]) ).
fof(f2305,plain,
h4(e10) = h1(e13),
inference(backward_demodulation,[status(thm)],[f2304,f293]) ).
fof(f2311,plain,
op2(e20,e23) != h1(e13),
inference(paramodulation,[status(thm)],[f2304,f184]) ).
fof(f2312,plain,
( h4(op1(e10,e12)) != op2(h1(e13),h4(e12))
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f2305,f1485]) ).
fof(f2314,plain,
( h4(op1(e11,e10)) != op2(e23,h1(e13))
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f2305,f2281]) ).
fof(f2315,plain,
e22 = op2(op2(e20,op2(e21,e21)),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f278]) ).
fof(f2316,plain,
e22 = op2(op2(e20,e20),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f2315]) ).
fof(f2317,plain,
e22 = op2(e23,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f2296,f2316]) ).
fof(f2318,plain,
e22 = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f277,f2317]) ).
fof(f2320,plain,
op2(e22,e20) != e22,
inference(paramodulation,[status(thm)],[f2318,f169]) ).
fof(f2321,plain,
op2(e21,e20) != e22,
inference(paramodulation,[status(thm)],[f2318,f168]) ).
fof(f2323,plain,
h1(e12) = op2(op2(e23,op2(e20,e20)),op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f2296,f282]) ).
fof(f2324,plain,
h1(e12) = op2(op2(e23,e23),op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f2296,f2323]) ).
fof(f2325,plain,
h1(e12) = op2(h1(e13),op2(e20,e20)),
inference(forward_demodulation,[status(thm)],[f2304,f2324]) ).
fof(f2326,plain,
h1(e12) = op2(h1(e13),e23),
inference(forward_demodulation,[status(thm)],[f2296,f2325]) ).
fof(f2328,plain,
h2(e13) = op2(e20,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f287]) ).
fof(f2329,plain,
h2(e13) = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f277,f2328]) ).
fof(f2330,plain,
h2(e13) = e23,
inference(forward_demodulation,[status(thm)],[f2296,f2329]) ).
fof(f2331,plain,
( $false
| spl0_185 ),
inference(forward_subsumption_resolution,[status(thm)],[f2330,f1402]) ).
fof(f2332,plain,
spl0_185,
inference(contradiction_clause,[status(thm)],[f2331]) ).
fof(f2336,plain,
h3(e13) = op2(h3(e10),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f289,f291]) ).
fof(f2337,plain,
h3(e13) = op2(h3(e10),h3(e10)),
inference(forward_demodulation,[status(thm)],[f289,f2336]) ).
fof(f2338,plain,
h4(e13) = op2(h1(e13),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2304,f295]) ).
fof(f2339,plain,
h4(e13) = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[status(thm)],[f2304,f2338]) ).
fof(f2340,plain,
h2(e12) = op2(op2(e20,op2(e21,e21)),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f286]) ).
fof(f2341,plain,
h2(e12) = op2(op2(e20,e20),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f2340]) ).
fof(f2342,plain,
h2(e12) = op2(e23,op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f2296,f2341]) ).
fof(f2343,plain,
h2(e12) = op2(e23,e20),
inference(forward_demodulation,[status(thm)],[f277,f2342]) ).
fof(f2344,plain,
h2(e12) = e22,
inference(forward_demodulation,[status(thm)],[f2318,f2343]) ).
fof(f2345,plain,
( $false
| spl0_266 ),
inference(forward_subsumption_resolution,[status(thm)],[f2344,f1704]) ).
fof(f2346,plain,
spl0_266,
inference(contradiction_clause,[status(thm)],[f2345]) ).
fof(f2350,plain,
h3(e12) = op2(op2(h3(e10),op2(e22,e22)),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f289,f290]) ).
fof(f2351,plain,
h3(e12) = op2(op2(h3(e10),h3(e10)),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f289,f2350]) ).
fof(f2352,plain,
h3(e12) = op2(h3(e13),op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f2337,f2351]) ).
fof(f2353,plain,
h3(e12) = op2(h3(e13),h3(e10)),
inference(forward_demodulation,[status(thm)],[f289,f2352]) ).
fof(f2354,plain,
h4(e12) = op2(op2(h1(e13),op2(e23,e23)),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2304,f294]) ).
fof(f2355,plain,
h4(e12) = op2(op2(h1(e13),h1(e13)),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2304,f2354]) ).
fof(f2356,plain,
h4(e12) = op2(h4(e13),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f2339,f2355]) ).
fof(f2357,plain,
h4(e12) = op2(h4(e13),h1(e13)),
inference(forward_demodulation,[status(thm)],[f2304,f2356]) ).
fof(f2360,plain,
( h4(e13) != op2(h4(e10),h4(e10))
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f2288,f1479]) ).
fof(f2361,plain,
( h4(e13) != op2(h1(e13),h4(e10))
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f2305,f2360]) ).
fof(f2362,plain,
( h4(e13) != op2(h1(e13),h1(e13))
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f2305,f2361]) ).
fof(f2363,plain,
( h4(e13) != h4(e13)
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f2339,f2362]) ).
fof(f2364,plain,
( $false
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f2363]) ).
fof(f2365,plain,
spl0_209,
inference(contradiction_clause,[status(thm)],[f2364]) ).
fof(f2373,plain,
( op1(e12,e10) != e13
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f867,f154]) ).
fof(f2375,plain,
( op1(e11,e13) != e13
| ~ spl0_47 ),
inference(paramodulation,[status(thm)],[f867,f137]) ).
fof(f2378,plain,
( op1(e11,e12) != e13
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f815,f151]) ).
fof(f2384,plain,
( op1(e10,e10) != e13
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f763,f142]) ).
fof(f2385,plain,
( e13 != e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f2288,f2384]) ).
fof(f2386,plain,
( $false
| ~ spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f2385]) ).
fof(f2387,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f2386]) ).
fof(f2392,plain,
( op2(e20,e20) != e23
| ~ spl0_79 ),
inference(paramodulation,[status(thm)],[f1003,f190]) ).
fof(f2393,plain,
( e23 != e23
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f2296,f2392]) ).
fof(f2394,plain,
( $false
| ~ spl0_79 ),
inference(trivial_equality_resolution,[status(esa)],[f2393]) ).
fof(f2395,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f2394]) ).
fof(f2409,plain,
( op1(e10,e12) != e12
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f799,f128]) ).
fof(f2410,plain,
( e22 = e23
| ~ spl0_94
| ~ spl0_95 ),
inference(backward_demodulation,[status(thm)],[f1052,f1055]) ).
fof(f2411,plain,
( $false
| ~ spl0_94
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f2410,f223]) ).
fof(f2412,plain,
( ~ spl0_94
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2411]) ).
fof(f2413,plain,
( op2(e20,e22) != e22
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f1000,f193]) ).
fof(f2414,plain,
( op2(e20,e21) != e22
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f1000,f192]) ).
fof(f2418,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e22)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f288,f1445]) ).
fof(f2419,plain,
( h3(e12) != op2(h3(e13),h3(e10))
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2289,f1442]) ).
fof(f2420,plain,
( h3(e12) != h3(e12)
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2353,f2419]) ).
fof(f2421,plain,
( $false
| spl0_198 ),
inference(trivial_equality_resolution,[status(esa)],[f2420]) ).
fof(f2422,plain,
spl0_198,
inference(contradiction_clause,[status(thm)],[f2421]) ).
fof(f2425,plain,
( op2(e23,e20) != e22
| ~ spl0_118 ),
inference(paramodulation,[status(thm)],[f1130,f206]) ).
fof(f2426,plain,
( e22 != e22
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f2318,f2425]) ).
fof(f2427,plain,
( $false
| ~ spl0_118 ),
inference(trivial_equality_resolution,[status(esa)],[f2426]) ).
fof(f2428,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f2427]) ).
fof(f2429,plain,
( e20 = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f277,f1026]) ).
fof(f2430,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2429,f219]) ).
fof(f2431,plain,
~ spl0_86,
inference(contradiction_clause,[status(thm)],[f2430]) ).
fof(f2433,plain,
( e22 != e22
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f2318,f2214]) ).
fof(f2434,plain,
( $false
| ~ spl0_122 ),
inference(trivial_equality_resolution,[status(esa)],[f2433]) ).
fof(f2435,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f2434]) ).
fof(f2439,plain,
( $false
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f2320]) ).
fof(f2440,plain,
~ spl0_98,
inference(contradiction_clause,[status(thm)],[f2439]) ).
fof(f2441,plain,
( e21 = e23
| ~ spl0_109
| ~ spl0_111 ),
inference(backward_demodulation,[status(thm)],[f1101,f1107]) ).
fof(f2442,plain,
( $false
| ~ spl0_109
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f2441,f222]) ).
fof(f2443,plain,
( ~ spl0_109
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f2442]) ).
fof(f2447,plain,
( h4(e10) != op2(h4(e12),h1(e13))
| ~ spl0_32
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f2305,f2237]) ).
fof(f2449,plain,
( h3(e13) != op2(h3(e11),h3(e13))
| ~ spl0_31
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f815,f1427]) ).
fof(f2450,plain,
( h3(e13) != op2(e22,h3(e13))
| ~ spl0_31
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f288,f2449]) ).
fof(f2453,plain,
( h3(e10) != op2(h3(e11),h3(e11))
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f274,f1421]) ).
fof(f2454,plain,
( h3(e10) != op2(e22,h3(e11))
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f288,f2453]) ).
fof(f2455,plain,
( h3(e10) != op2(e22,e22)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f288,f2454]) ).
fof(f2456,plain,
( h3(e10) != h3(e10)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f289,f2455]) ).
fof(f2457,plain,
( $false
| spl0_191 ),
inference(trivial_equality_resolution,[status(esa)],[f2456]) ).
fof(f2458,plain,
spl0_191,
inference(contradiction_clause,[status(thm)],[f2457]) ).
fof(f2462,plain,
( h3(op1(e11,e10)) != op2(e22,h3(e10))
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f288,f1418]) ).
fof(f2465,plain,
( h3(e13) != op2(h3(e10),h3(e10))
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f2288,f1406]) ).
fof(f2466,plain,
( h3(e13) != h3(e13)
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f2337,f2465]) ).
fof(f2467,plain,
( $false
| spl0_186 ),
inference(trivial_equality_resolution,[status(esa)],[f2466]) ).
fof(f2468,plain,
spl0_186,
inference(contradiction_clause,[status(thm)],[f2467]) ).
fof(f2470,plain,
( h2(op1(e13,e13)) != op2(e23,h2(e13))
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f2330,f1378]) ).
fof(f2471,plain,
( h2(op1(e13,e13)) != op2(e23,e23)
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f2330,f2470]) ).
fof(f2472,plain,
( h2(op1(e13,e12)) != op2(e23,h2(e12))
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f2330,f1375]) ).
fof(f2473,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f2344,f2472]) ).
fof(f2474,plain,
( h2(op1(e13,e11)) != op2(e23,h2(e11))
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f2330,f1372]) ).
fof(f2475,plain,
( h2(op1(e13,e11)) != op2(e23,e21)
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f284,f2474]) ).
fof(f2476,plain,
( h2(e12) != op2(h2(e13),h2(e10))
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2289,f1369]) ).
fof(f2477,plain,
( h2(e12) != op2(e23,h2(e10))
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2330,f2476]) ).
fof(f2478,plain,
( h2(e12) != op2(e23,e20)
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2145,f2477]) ).
fof(f2479,plain,
( h2(e12) != e22
| spl0_175 ),
inference(paramodulation,[status(thm)],[f2318,f2478]) ).
fof(f2480,plain,
( ~ spl0_266
| spl0_175 ),
inference(split_clause,[status(thm)],[f2479,f1702,f1367]) ).
fof(f2488,plain,
( h2(op1(e12,e12)) != op2(e22,h2(e12))
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f2344,f1363]) ).
fof(f2489,plain,
( h2(op1(e12,e12)) != op2(e22,e22)
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f2344,f2488]) ).
fof(f2500,plain,
( h2(e10) != op2(h2(e12),h2(e10))
| ~ spl0_32
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f819,f1357]) ).
fof(f2501,plain,
( h2(e10) != op2(e22,h2(e10))
| ~ spl0_32
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f2344,f2500]) ).
fof(f2502,plain,
( h2(e10) != op2(e22,e20)
| ~ spl0_32
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f2145,f2501]) ).
fof(f2503,plain,
( h2(e13) != op2(h2(e11),h2(e13))
| ~ spl0_31
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f815,f1354]) ).
fof(f2504,plain,
( h2(e13) != op2(e21,h2(e13))
| ~ spl0_31
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f284,f2503]) ).
fof(f2505,plain,
( h2(e13) != op2(e21,e23)
| ~ spl0_31
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f2330,f2504]) ).
fof(f2506,plain,
( h2(e12) != op2(h2(e11),h2(e12))
| ~ spl0_26
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f799,f1351]) ).
fof(f2507,plain,
( h2(e12) != op2(e21,h2(e12))
| ~ spl0_26
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f284,f2506]) ).
fof(f2508,plain,
( h2(e12) != op2(e21,e22)
| ~ spl0_26
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f2344,f2507]) ).
fof(f2509,plain,
( h2(e12) != e22
| ~ spl0_90
| ~ spl0_26
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1039,f2508]) ).
fof(f2510,plain,
( e22 != e22
| ~ spl0_90
| ~ spl0_26
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f2344,f2509]) ).
fof(f2511,plain,
( $false
| ~ spl0_90
| ~ spl0_26
| spl0_169 ),
inference(trivial_equality_resolution,[status(esa)],[f2510]) ).
fof(f2512,plain,
( ~ spl0_90
| ~ spl0_26
| spl0_169 ),
inference(contradiction_clause,[status(thm)],[f2511]) ).
fof(f2516,plain,
( h2(e10) != op2(h2(e11),h2(e11))
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f274,f1348]) ).
fof(f2517,plain,
( h2(e10) != op2(e21,h2(e11))
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f284,f2516]) ).
fof(f2518,plain,
( h2(e10) != op2(e21,e21)
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f284,f2517]) ).
fof(f2519,plain,
( h2(e10) != e20
| spl0_168 ),
inference(paramodulation,[status(thm)],[f277,f2518]) ).
fof(f2520,plain,
( ~ spl0_256
| spl0_168 ),
inference(split_clause,[status(thm)],[f2519,f1662,f1346]) ).
fof(f2525,plain,
( h2(op1(e11,e10)) != op2(e21,h2(e10))
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f284,f1345]) ).
fof(f2526,plain,
( h2(op1(e11,e10)) != op2(e21,e20)
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f2145,f2525]) ).
fof(f2527,plain,
( h2(op1(e10,e13)) != op2(e20,h2(e13))
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f2145,f1342]) ).
fof(f2528,plain,
( h2(op1(e10,e13)) != op2(e20,e23)
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f2330,f2527]) ).
fof(f2529,plain,
( h2(op1(e10,e12)) != op2(e20,h2(e12))
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2145,f1339]) ).
fof(f2530,plain,
( h2(op1(e10,e12)) != op2(e20,e22)
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2344,f2529]) ).
fof(f2531,plain,
( h2(e11) != op2(h2(e10),h2(e11))
| ~ spl0_5
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f731,f1336]) ).
fof(f2532,plain,
( h2(e11) != op2(e20,h2(e11))
| ~ spl0_5
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2145,f2531]) ).
fof(f2533,plain,
( h2(e11) != op2(e20,e21)
| ~ spl0_5
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f284,f2532]) ).
fof(f2534,plain,
( h2(e11) != e21
| ~ spl0_69
| ~ spl0_5
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f971,f2533]) ).
fof(f2535,plain,
( e21 != e21
| ~ spl0_69
| ~ spl0_5
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f284,f2534]) ).
fof(f2536,plain,
( $false
| ~ spl0_69
| ~ spl0_5
| spl0_164 ),
inference(trivial_equality_resolution,[status(esa)],[f2535]) ).
fof(f2537,plain,
( ~ spl0_69
| ~ spl0_5
| spl0_164 ),
inference(contradiction_clause,[status(thm)],[f2536]) ).
fof(f2541,plain,
( h2(e13) != op2(h2(e10),h2(e10))
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f2288,f1333]) ).
fof(f2542,plain,
( h2(e13) != op2(e20,h2(e10))
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f2145,f2541]) ).
fof(f2543,plain,
( h2(e13) != op2(e20,e20)
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f2145,f2542]) ).
fof(f2544,plain,
( h2(e13) != e23
| spl0_163 ),
inference(paramodulation,[status(thm)],[f2296,f2543]) ).
fof(f2545,plain,
( ~ spl0_185
| spl0_163 ),
inference(split_clause,[status(thm)],[f2544,f1400,f1331]) ).
fof(f2550,plain,
( h1(op1(e13,e13)) != h4(e13)
| spl0_155 ),
inference(paramodulation,[status(thm)],[f2339,f1305]) ).
fof(f2555,plain,
( op2(e23,e21) != e21
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f1140,f209]) ).
fof(f2557,plain,
( op2(e22,e22) != e21
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f1140,f181]) ).
fof(f2559,plain,
( op2(e20,e22) != e21
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f1140,f178]) ).
fof(f2560,plain,
( e22 = e21
| ~ spl0_113 ),
inference(backward_demodulation,[status(thm)],[f1114,f2318]) ).
fof(f2561,plain,
( $false
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f2560,f221]) ).
fof(f2562,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2561]) ).
fof(f2563,plain,
( e23 != e23
| spl0_67 ),
inference(forward_demodulation,[status(thm)],[f2296,f965]) ).
fof(f2564,plain,
( $false
| spl0_67 ),
inference(trivial_equality_resolution,[status(esa)],[f2563]) ).
fof(f2565,plain,
spl0_67,
inference(contradiction_clause,[status(thm)],[f2564]) ).
fof(f2566,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f2163]) ).
fof(f2567,plain,
~ spl0_68,
inference(contradiction_clause,[status(thm)],[f2566]) ).
fof(f2568,plain,
( h2(op1(e10,e11)) = op2(e20,h2(e11))
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f2145,f1335]) ).
fof(f2569,plain,
( h2(op1(e10,e11)) = op2(e20,e21)
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f284,f2568]) ).
fof(f2573,plain,
( op2(e22,e20) != e20
| ~ spl0_108 ),
inference(paramodulation,[status(thm)],[f1098,f202]) ).
fof(f2574,plain,
( ~ spl0_96
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f2573,f1058,f1097]) ).
fof(f2578,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f1046,f2191]) ).
fof(f2579,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f2578]) ).
fof(f2580,plain,
( op2(e21,e22) != e22
| ~ spl0_94 ),
inference(paramodulation,[status(thm)],[f1052,f199]) ).
fof(f2584,plain,
( op2(e20,e23) != e22
| ~ spl0_94 ),
inference(paramodulation,[status(thm)],[f1052,f182]) ).
fof(f2585,plain,
( ~ spl0_74
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2413,f986,f999]) ).
fof(f2589,plain,
( e20 = e21
| ~ spl0_120
| ~ spl0_121 ),
inference(backward_demodulation,[status(thm)],[f1137,f1140]) ).
fof(f2590,plain,
( $false
| ~ spl0_120
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f2589,f218]) ).
fof(f2591,plain,
( ~ spl0_120
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f2590]) ).
fof(f2592,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1124,f2165]) ).
fof(f2593,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f2592]) ).
fof(f2595,plain,
( op2(e20,e21) != e21
| ~ spl0_117 ),
inference(paramodulation,[status(thm)],[f1127,f172]) ).
fof(f2596,plain,
( ~ spl0_69
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f2595,f970,f1126]) ).
fof(f2598,plain,
( op2(e20,e21) != e21
| ~ spl0_77 ),
inference(paramodulation,[status(thm)],[f997,f192]) ).
fof(f2599,plain,
( ~ spl0_69
| ~ spl0_77 ),
inference(split_clause,[status(thm)],[f2598,f970,f996]) ).
fof(f2602,plain,
( ~ spl0_105
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f2557,f1087,f1139]) ).
fof(f2603,plain,
( ~ spl0_69
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2205,f970,f1074]) ).
fof(f2608,plain,
( op2(e20,e20) != e23
| ~ spl0_75 ),
inference(paramodulation,[status(thm)],[f990,f189]) ).
fof(f2609,plain,
( ~ spl0_67
| ~ spl0_75 ),
inference(split_clause,[status(thm)],[f2608,f963,f989]) ).
fof(f2614,plain,
( h1(e12) != op2(h1(e13),h1(e10))
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2289,f1296]) ).
fof(f2615,plain,
( h1(e12) != op2(h1(e13),e23)
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2297,f2614]) ).
fof(f2616,plain,
( h1(e12) != h1(e12)
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2326,f2615]) ).
fof(f2617,plain,
( $false
| spl0_152 ),
inference(trivial_equality_resolution,[status(esa)],[f2616]) ).
fof(f2618,plain,
spl0_152,
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2625,plain,
( op2(e20,e20) != e23
| ~ spl0_99 ),
inference(paramodulation,[status(thm)],[f1068,f165]) ).
fof(f2626,plain,
( ~ spl0_67
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f2625,f963,f1067]) ).
fof(f2627,plain,
( op2(e20,e21) != e21
| ~ spl0_73 ),
inference(paramodulation,[status(thm)],[f984,f191]) ).
fof(f2630,plain,
( op2(e21,e20) != e21
| ~ spl0_97 ),
inference(paramodulation,[status(thm)],[f1062,f167]) ).
fof(f2631,plain,
( ~ spl0_81
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f2630,f1009,f1061]) ).
fof(f2633,plain,
( e20 != e20
| spl0_84 ),
inference(forward_demodulation,[status(thm)],[f277,f1021]) ).
fof(f2634,plain,
( $false
| spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f2633]) ).
fof(f2635,plain,
spl0_84,
inference(contradiction_clause,[status(thm)],[f2634]) ).
fof(f2639,plain,
( e23 != e23
| ~ spl0_91
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f1042,f2231]) ).
fof(f2640,plain,
( $false
| ~ spl0_91
| ~ spl0_95 ),
inference(trivial_equality_resolution,[status(esa)],[f2639]) ).
fof(f2641,plain,
( ~ spl0_91
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2656,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f274,f1275]) ).
fof(f2657,plain,
( h1(e10) != op2(e20,h1(e11))
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f280,f2656]) ).
fof(f2658,plain,
( h1(e10) != op2(e20,e20)
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f280,f2657]) ).
fof(f2659,plain,
( h1(e10) != e23
| spl0_145 ),
inference(paramodulation,[status(thm)],[f2296,f2658]) ).
fof(f2660,plain,
( ~ spl0_159
| spl0_145 ),
inference(split_clause,[status(thm)],[f2659,f1315,f1273]) ).
fof(f2671,plain,
( h1(e13) != op2(h1(e10),h1(e10))
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2288,f1260]) ).
fof(f2672,plain,
( h1(e13) != op2(e23,h1(e10))
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2297,f2671]) ).
fof(f2673,plain,
( h1(e13) != op2(e23,e23)
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2297,f2672]) ).
fof(f2674,plain,
( h1(e13) != h1(e13)
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f2304,f2673]) ).
fof(f2675,plain,
( $false
| spl0_140 ),
inference(trivial_equality_resolution,[status(esa)],[f2674]) ).
fof(f2676,plain,
spl0_140,
inference(contradiction_clause,[status(thm)],[f2675]) ).
fof(f2680,plain,
( h4(e12) != op2(h4(e13),h4(e10))
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2289,f1515]) ).
fof(f2681,plain,
( h4(e12) != op2(h4(e13),h1(e13))
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2305,f2680]) ).
fof(f2682,plain,
( h4(e12) != h4(e12)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2357,f2681]) ).
fof(f2683,plain,
( $false
| spl0_221 ),
inference(trivial_equality_resolution,[status(esa)],[f2682]) ).
fof(f2684,plain,
spl0_221,
inference(contradiction_clause,[status(thm)],[f2683]) ).
fof(f2687,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f2190]) ).
fof(f2688,plain,
~ spl0_88,
inference(contradiction_clause,[status(thm)],[f2687]) ).
fof(f2689,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f1072,f2164]) ).
fof(f2690,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f2693,plain,
( op2(e20,e20) != e23
| ~ spl0_71 ),
inference(paramodulation,[status(thm)],[f977,f188]) ).
fof(f2694,plain,
( ~ spl0_67
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f2693,f963,f976]) ).
fof(f2698,plain,
( op2(e20,e20) != e23
| ~ spl0_83 ),
inference(paramodulation,[status(thm)],[f1016,f164]) ).
fof(f2699,plain,
( ~ spl0_67
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f2698,f963,f1015]) ).
fof(f2704,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f2321]) ).
fof(f2705,plain,
~ spl0_82,
inference(contradiction_clause,[status(thm)],[f2704]) ).
fof(f2706,plain,
( e20 = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f277,f1029]) ).
fof(f2707,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f2706,f220]) ).
fof(f2708,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f2707]) ).
fof(f2712,plain,
( op2(e22,e22) != e20
| ~ spl0_120 ),
inference(paramodulation,[status(thm)],[f1137,f181]) ).
fof(f2714,plain,
( op2(e20,e22) != e20
| ~ spl0_120 ),
inference(paramodulation,[status(thm)],[f1137,f178]) ).
fof(f2715,plain,
( ~ spl0_72
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f2714,f980,f1136]) ).
fof(f2718,plain,
( ~ spl0_90
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2580,f1038,f1051]) ).
fof(f2719,plain,
( ~ spl0_78
| ~ spl0_94 ),
inference(split_clause,[status(thm)],[f2584,f999,f1051]) ).
fof(f2720,plain,
( e12 = e13
| ~ spl0_30
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f812,f815]) ).
fof(f2721,plain,
( $false
| ~ spl0_30
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f2720,f217]) ).
fof(f2722,plain,
( ~ spl0_30
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2721]) ).
fof(f2725,plain,
( h2(e12) != op2(e20,e23)
| ~ spl0_14
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f760,f2528]) ).
fof(f2728,plain,
( op1(e10,e11) != e12
| ~ spl0_14 ),
inference(paramodulation,[status(thm)],[f760,f144]) ).
fof(f2734,plain,
( op1(e13,e10) != e12
| ~ spl0_54 ),
inference(paramodulation,[status(thm)],[f890,f158]) ).
fof(f2735,plain,
( e12 != e12
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f2289,f2734]) ).
fof(f2736,plain,
( $false
| ~ spl0_54 ),
inference(trivial_equality_resolution,[status(esa)],[f2735]) ).
fof(f2737,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f2736]) ).
fof(f2738,plain,
( e10 = e12
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f274,f786]) ).
fof(f2739,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2738,f213]) ).
fof(f2740,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f2739]) ).
fof(f2746,plain,
( e12 != e12
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f2289,f2270]) ).
fof(f2747,plain,
( $false
| ~ spl0_58 ),
inference(trivial_equality_resolution,[status(esa)],[f2746]) ).
fof(f2748,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2759,plain,
( h4(e11) != op2(h4(e13),h4(e12))
| ~ spl0_57
| spl0_223 ),
inference(backward_demodulation,[status(thm)],[f900,f1521]) ).
fof(f2761,plain,
( h2(e11) != op2(e23,e22)
| ~ spl0_57
| spl0_177 ),
inference(backward_demodulation,[status(thm)],[f900,f2473]) ).
fof(f2763,plain,
( op1(e13,e11) != e11
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f900,f161]) ).
fof(f2765,plain,
( op1(e12,e12) != e11
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f900,f133]) ).
fof(f2766,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2765,f847,f899]) ).
fof(f2768,plain,
( op1(e10,e12) != e11
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f900,f130]) ).
fof(f2769,plain,
( e12 = e11
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f874,f2289]) ).
fof(f2770,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f2769,f215]) ).
fof(f2771,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f2770]) ).
fof(f2772,plain,
( e13 != e13
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f2288,f725]) ).
fof(f2773,plain,
( $false
| spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f2772]) ).
fof(f2774,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f2773]) ).
fof(f2775,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f728,f2144]) ).
fof(f2776,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2779,plain,
( op1(e12,e10) != e10
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f858,f154]) ).
fof(f2780,plain,
( e10 != e10
| ~ spl0_32
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f819,f2779]) ).
fof(f2781,plain,
( $false
| ~ spl0_32
| ~ spl0_44 ),
inference(trivial_equality_resolution,[status(esa)],[f2780]) ).
fof(f2782,plain,
( ~ spl0_32
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f2781]) ).
fof(f2783,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f2162]) ).
fof(f2784,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f2783]) ).
fof(f2786,plain,
( op1(e10,e11) != e11
| ~ spl0_53 ),
inference(paramodulation,[status(thm)],[f887,f124]) ).
fof(f2790,plain,
( op1(e13,e10) != e10
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f897,f159]) ).
fof(f2791,plain,
( op1(e12,e12) != e10
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f897,f133]) ).
fof(f2793,plain,
( op1(e10,e12) != e10
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f897,f130]) ).
fof(f2794,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f2147]) ).
fof(f2795,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f2794]) ).
fof(f2809,plain,
( op1(e10,e10) != e13
| ~ spl0_11 ),
inference(paramodulation,[status(thm)],[f750,f141]) ).
fof(f2810,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2809,f723,f749]) ).
fof(f2811,plain,
( op1(e12,e10) != e13
| ~ spl0_39 ),
inference(paramodulation,[status(thm)],[f841,f152]) ).
fof(f2815,plain,
( e10 = e13
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f819,f828]) ).
fof(f2816,plain,
( $false
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f2815,f214]) ).
fof(f2817,plain,
( ~ spl0_32
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f2816]) ).
fof(f2826,plain,
( op1(e11,e10) != e11
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f822,f119]) ).
fof(f2827,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2826,f769,f821]) ).
fof(f2829,plain,
( e13 != e13
| ~ spl0_27
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f802,f2378]) ).
fof(f2830,plain,
( $false
| ~ spl0_27
| ~ spl0_31 ),
inference(trivial_equality_resolution,[status(esa)],[f2829]) ).
fof(f2831,plain,
( ~ spl0_27
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f2830]) ).
fof(f2842,plain,
( h2(op1(e12,e13)) != op2(e22,h2(e13))
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f2344,f1366]) ).
fof(f2843,plain,
( h2(op1(e12,e13)) != op2(e22,e23)
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f2330,f2842]) ).
fof(f2844,plain,
( ~ spl0_10
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2409,f746,f798]) ).
fof(f2845,plain,
( e10 = e11
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f897,f900]) ).
fof(f2846,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f2845,f212]) ).
fof(f2847,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2846]) ).
fof(f2848,plain,
( ~ spl0_53
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2763,f886,f899]) ).
fof(f2849,plain,
( e11 != e11
| ~ spl0_9
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f744,f2768]) ).
fof(f2850,plain,
( $false
| ~ spl0_9
| ~ spl0_57 ),
inference(trivial_equality_resolution,[status(esa)],[f2849]) ).
fof(f2851,plain,
( ~ spl0_9
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2850]) ).
fof(f2852,plain,
( op1(e12,e12) != e11
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f861,f157]) ).
fof(f2864,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f2375,f814,f866]) ).
fof(f2868,plain,
( op1(e11,e12) != e12
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f812,f151]) ).
fof(f2869,plain,
( ~ spl0_26
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2868,f798,f811]) ).
fof(f2873,plain,
( h2(op1(e12,e11)) = op2(e22,h2(e11))
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2344,f1359]) ).
fof(f2874,plain,
( h2(op1(e12,e11)) = op2(e22,e21)
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f284,f2873]) ).
fof(f2875,plain,
( h2(op1(e12,e11)) = e23
| ~ spl0_103
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1081,f2874]) ).
fof(f2877,plain,
( e10 = e13
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f274,f789]) ).
fof(f2878,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2877,f214]) ).
fof(f2879,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f2878]) ).
fof(f2884,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f793,f2161]) ).
fof(f2885,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f2884]) ).
fof(f2886,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f2146]) ).
fof(f2887,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f2886]) ).
fof(f2888,plain,
( ~ spl0_48
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2790,f870,f896]) ).
fof(f2889,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2791,f844,f896]) ).
fof(f2890,plain,
( ~ spl0_35
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2811,f827,f840]) ).
fof(f2894,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f2852,f847,f860]) ).
fof(f2899,plain,
( op1(e10,e10) != e13
| ~ spl0_7 ),
inference(paramodulation,[status(thm)],[f737,f140]) ).
fof(f2900,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2899,f723,f736]) ).
fof(f2902,plain,
( h2(op1(e10,e11)) = e22
| ~ spl0_70
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f974,f2569]) ).
fof(f2903,plain,
( op1(e10,e12) != e11
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f757,f145]) ).
fof(f2904,plain,
( op1(e10,e11) != e11
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f757,f144]) ).
fof(f2907,plain,
( e21 = e22
| ~ spl0_73
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f984,f987]) ).
fof(f2908,plain,
( $false
| ~ spl0_73
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f2907,f221]) ).
fof(f2909,plain,
( ~ spl0_73
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f2908]) ).
fof(f2910,plain,
( ~ spl0_35
| ~ spl0_47 ),
inference(split_clause,[status(thm)],[f2373,f827,f866]) ).
fof(f2914,plain,
( e22 != e22
| ~ spl0_70
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f974,f2211]) ).
fof(f2915,plain,
( $false
| ~ spl0_70
| ~ spl0_74 ),
inference(trivial_equality_resolution,[status(esa)],[f2914]) ).
fof(f2916,plain,
( ~ spl0_70
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f2915]) ).
fof(f2917,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f825,f2290]) ).
fof(f2918,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f2917]) ).
fof(f2925,plain,
( op1(e10,e10) != e13
| ~ spl0_19 ),
inference(paramodulation,[status(thm)],[f776,f116]) ).
fof(f2926,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2925,f723,f775]) ).
fof(f2929,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f773,f2292]) ).
fof(f2930,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2931,plain,
( e22 = e23
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f2318,f1120]) ).
fof(f2932,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f2931,f223]) ).
fof(f2933,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f2932]) ).
fof(f2944,plain,
( h2(e10) != e20
| ~ spl0_96
| ~ spl0_32
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f1059,f2502]) ).
fof(f2945,plain,
( e20 != e20
| ~ spl0_96
| ~ spl0_32
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f2145,f2944]) ).
fof(f2946,plain,
( $false
| ~ spl0_96
| ~ spl0_32
| spl0_171 ),
inference(trivial_equality_resolution,[status(esa)],[f2945]) ).
fof(f2947,plain,
( ~ spl0_96
| ~ spl0_32
| spl0_171 ),
inference(contradiction_clause,[status(thm)],[f2946]) ).
fof(f2969,plain,
( $false
| ~ spl0_111
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f1055,f2229]) ).
fof(f2970,plain,
( ~ spl0_111
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2969]) ).
fof(f2971,plain,
( e12 != e12
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f734,f2266]) ).
fof(f2972,plain,
( $false
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f2971]) ).
fof(f2973,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f2972]) ).
fof(f2998,plain,
( op1(e10,e13) = e10
| ~ spl0_304 ),
inference(forward_demodulation,[status(thm)],[f2288,f1871]) ).
fof(f3001,plain,
( e23 = op2(e22,e21)
| ~ spl0_103
| ~ spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2875,f2874]) ).
fof(f3005,plain,
( h1(e10) != h4(e13)
| ~ spl0_60
| spl0_155 ),
inference(backward_demodulation,[status(thm)],[f910,f2550]) ).
fof(f3007,plain,
( h2(e10) != op2(e23,e23)
| ~ spl0_60
| spl0_178 ),
inference(backward_demodulation,[status(thm)],[f910,f2471]) ).
fof(f3008,plain,
( h2(e10) != h1(e13)
| ~ spl0_60
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f2304,f3007]) ).
fof(f3009,plain,
( h3(e10) != op2(h3(e13),h3(e13))
| ~ spl0_60
| spl0_201 ),
inference(backward_demodulation,[status(thm)],[f910,f1451]) ).
fof(f3010,plain,
( h4(e10) != op2(h4(e13),h4(e13))
| ~ spl0_60
| spl0_224 ),
inference(backward_demodulation,[status(thm)],[f910,f1524]) ).
fof(f3016,plain,
( op1(e10,e13) != e10
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f910,f136]) ).
fof(f3017,plain,
( ~ spl0_12
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f3016,f753,f909]) ).
fof(f3018,plain,
( e10 = e12
| ~ spl0_60
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f910,f916]) ).
fof(f3019,plain,
( $false
| ~ spl0_60
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f3018,f213]) ).
fof(f3020,plain,
( ~ spl0_60
| ~ spl0_62 ),
inference(contradiction_clause,[status(thm)],[f3019]) ).
fof(f3023,plain,
( h2(op1(e12,e11)) != op2(e22,h2(e11))
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2344,f1360]) ).
fof(f3024,plain,
( h2(op1(e12,e11)) != op2(e22,e21)
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f284,f3023]) ).
fof(f3031,plain,
( h2(e11) = e22
| ~ spl0_5
| ~ spl0_70
| ~ spl0_164 ),
inference(backward_demodulation,[status(thm)],[f731,f2902]) ).
fof(f3032,plain,
( e21 = e22
| ~ spl0_5
| ~ spl0_70
| ~ spl0_164 ),
inference(forward_demodulation,[status(thm)],[f284,f3031]) ).
fof(f3033,plain,
( $false
| ~ spl0_5
| ~ spl0_70
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[status(thm)],[f3032,f221]) ).
fof(f3034,plain,
( ~ spl0_5
| ~ spl0_70
| ~ spl0_164 ),
inference(contradiction_clause,[status(thm)],[f3033]) ).
fof(f3047,plain,
( h4(e10) != op2(h1(e13),h4(e12))
| ~ spl0_8
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f741,f2312]) ).
fof(f3049,plain,
( h2(e10) != op2(e20,e22)
| ~ spl0_8
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f741,f2530]) ).
fof(f3051,plain,
( op1(e10,e10) != e10
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f741,f141]) ).
fof(f3057,plain,
( op1(e13,e11) != e13
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f906,f161]) ).
fof(f3058,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f3057,f892,f905]) ).
fof(f3062,plain,
( op1(e11,e12) != e13
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f906,f132]) ).
fof(f3063,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f3062,f801,f905]) ).
fof(f3066,plain,
( e10 != e10
| ~ spl0_8
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f741,f2793]) ).
fof(f3067,plain,
( $false
| ~ spl0_8
| ~ spl0_56 ),
inference(trivial_equality_resolution,[status(esa)],[f3066]) ).
fof(f3068,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(contradiction_clause,[status(thm)],[f3067]) ).
fof(f3071,plain,
( h3(e13) != op2(h3(e13),e22)
| ~ spl0_55
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f893,f2418]) ).
fof(f3074,plain,
( h2(e13) != op2(e23,e21)
| ~ spl0_55
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f893,f2475]) ).
fof(f3078,plain,
( op1(e12,e11) != e13
| ~ spl0_55 ),
inference(paramodulation,[status(thm)],[f893,f127]) ).
fof(f3082,plain,
( h3(e11) != op2(e22,h3(e10))
| ~ spl0_17
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f770,f2462]) ).
fof(f3083,plain,
( h4(e11) != op2(e23,h1(e13))
| ~ spl0_17
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f770,f2314]) ).
fof(f3085,plain,
( h2(e11) != op2(e21,e20)
| ~ spl0_17
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f770,f2526]) ).
fof(f3109,plain,
( op2(e23,h1(e13)) = e23
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f2304,f1242]) ).
fof(f3111,plain,
( h4(e11) != e23
| ~ spl0_138
| ~ spl0_17
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f3109,f3083]) ).
fof(f3112,plain,
( e23 != e23
| ~ spl0_138
| ~ spl0_17
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f292,f3111]) ).
fof(f3113,plain,
( $false
| ~ spl0_138
| ~ spl0_17
| spl0_213 ),
inference(trivial_equality_resolution,[status(esa)],[f3112]) ).
fof(f3114,plain,
( ~ spl0_138
| ~ spl0_17
| spl0_213 ),
inference(contradiction_clause,[status(thm)],[f3113]) ).
fof(f3115,plain,
( h4(e11) = op2(h4(e11),h4(e10))
| ~ spl0_17
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f770,f1490]) ).
fof(f3116,plain,
( e23 = op2(h4(e11),h4(e10))
| ~ spl0_17
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f292,f3115]) ).
fof(f3117,plain,
( e23 = op2(e23,h4(e10))
| ~ spl0_17
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f292,f3116]) ).
fof(f3118,plain,
( e23 = op2(e23,h1(e13))
| ~ spl0_17
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f2305,f3117]) ).
fof(f3138,plain,
( op1(e10,e10) != e10
| ~ spl0_32 ),
inference(paramodulation,[status(thm)],[f819,f117]) ).
fof(f3139,plain,
( ~ spl0_0
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f3138,f714,f818]) ).
fof(f3151,plain,
( $false
| ~ spl0_111
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1081,f2226]) ).
fof(f3152,plain,
( ~ spl0_111
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f3151]) ).
fof(f3169,plain,
( op2(e21,e20) != e21
| ~ spl0_93 ),
inference(paramodulation,[status(thm)],[f1049,f196]) ).
fof(f3170,plain,
( ~ spl0_81
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f3169,f1009,f1048]) ).
fof(f3179,plain,
( op2(e20,e23) != e21
| ~ spl0_109 ),
inference(paramodulation,[status(thm)],[f1101,f183]) ).
fof(f3182,plain,
( op1(e11,e10) != e11
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f809,f148]) ).
fof(f3183,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f3182,f769,f808]) ).
fof(f3185,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f2627,f970,f983]) ).
fof(f3186,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2904,f730,f756]) ).
fof(f3187,plain,
( e12 = e13
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f2289,f880]) ).
fof(f3188,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f3187,f217]) ).
fof(f3189,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f3188]) ).
fof(f3194,plain,
( ~ spl0_70
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2414,f973,f999]) ).
fof(f3196,plain,
( ~ spl0_6
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f2728,f733,f759]) ).
fof(f3202,plain,
( op1(e10,e12) != e10
| ~ spl0_304 ),
inference(paramodulation,[status(thm)],[f2998,f145]) ).
fof(f3203,plain,
( ~ spl0_8
| ~ spl0_304 ),
inference(split_clause,[status(thm)],[f3202,f740,f1870]) ).
fof(f3205,plain,
( op1(e10,e13) != e10
| spl0_304 ),
inference(forward_demodulation,[status(thm)],[f2288,f1872]) ).
fof(f3207,plain,
( h2(e11) != e21
| ~ spl0_81
| ~ spl0_17
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f1010,f3085]) ).
fof(f3208,plain,
( ~ spl0_261
| ~ spl0_81
| ~ spl0_17
| spl0_167 ),
inference(split_clause,[status(thm)],[f3207,f1682,f1009,f769,f1343]) ).
fof(f3215,plain,
( op2(e22,h3(e10)) = e22
| ~ spl0_241 ),
inference(forward_demodulation,[status(thm)],[f289,f1594]) ).
fof(f3216,plain,
( h3(e11) != e22
| ~ spl0_241
| ~ spl0_17
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f3215,f3082]) ).
fof(f3217,plain,
( ~ spl0_277
| ~ spl0_241
| ~ spl0_17
| spl0_190 ),
inference(split_clause,[status(thm)],[f3216,f1746,f1593,f769,f1416]) ).
fof(f3218,plain,
( h3(e11) = op2(h3(e11),h3(e10))
| ~ spl0_17
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f770,f1417]) ).
fof(f3219,plain,
( e22 = op2(h3(e11),h3(e10))
| ~ spl0_17
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f288,f3218]) ).
fof(f3220,plain,
( op2(e22,e23) = e21
| ~ spl0_103
| ~ spl0_172
| ~ spl0_240 ),
inference(backward_demodulation,[status(thm)],[f3001,f1590]) ).
fof(f3230,plain,
( op2(e22,e22) != e21
| ~ spl0_103
| ~ spl0_172
| ~ spl0_240 ),
inference(paramodulation,[status(thm)],[f3220,f205]) ).
fof(f3248,plain,
( h1(e13) = e20
| ~ spl0_124 ),
inference(backward_demodulation,[status(thm)],[f1150,f2304]) ).
fof(f3249,plain,
( $false
| spl0_247
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f3248,f1628]) ).
fof(f3250,plain,
( spl0_247
| ~ spl0_124 ),
inference(contradiction_clause,[status(thm)],[f3249]) ).
fof(f3255,plain,
( e20 != h1(e13)
| ~ spl0_60
| spl0_178 ),
inference(paramodulation,[status(thm)],[f2145,f3008]) ).
fof(f3256,plain,
( ~ spl0_247
| ~ spl0_60
| spl0_178 ),
inference(split_clause,[status(thm)],[f3255,f1626,f909,f1376]) ).
fof(f3259,plain,
( h1(e13) != e20
| spl0_280 ),
inference(backward_demodulation,[status(thm)],[f2305,f1760]) ).
fof(f3260,plain,
( ~ spl0_247
| spl0_280 ),
inference(split_clause,[status(thm)],[f3259,f1626,f1758]) ).
fof(f3262,plain,
( ~ spl0_104
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f2712,f1084,f1136]) ).
fof(f3266,plain,
( e20 != h1(e13)
| ~ spl0_76 ),
inference(paramodulation,[status(thm)],[f994,f2311]) ).
fof(f3267,plain,
( e22 = op2(e22,h3(e10))
| ~ spl0_17
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f288,f3219]) ).
fof(f3276,plain,
( h2(e13) != e23
| ~ spl0_119
| ~ spl0_55
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f1133,f3074]) ).
fof(f3277,plain,
( ~ spl0_185
| ~ spl0_119
| ~ spl0_55
| spl0_176 ),
inference(split_clause,[status(thm)],[f3276,f1400,f1132,f892,f1370]) ).
fof(f3282,plain,
( op2(e22,e21) != e23
| ~ spl0_119 ),
inference(paramodulation,[status(thm)],[f1133,f175]) ).
fof(f3283,plain,
( ~ spl0_103
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f3282,f1080,f1132]) ).
fof(f3287,plain,
( ~ spl0_247
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f3266,f1626,f993]) ).
fof(f3293,plain,
( ~ spl0_117
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f2555,f1126,f1139]) ).
fof(f3294,plain,
( ~ spl0_73
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f2559,f983,f1139]) ).
fof(f3296,plain,
( e20 = op2(e23,e23)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1627,f2304]) ).
fof(f3298,plain,
( h4(e10) != op2(e20,h4(e12))
| ~ spl0_247
| ~ spl0_8
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f1627,f3047]) ).
fof(f3305,plain,
( e23 = op2(e23,e20)
| ~ spl0_247
| ~ spl0_17
| ~ spl0_213 ),
inference(backward_demodulation,[status(thm)],[f1627,f3118]) ).
fof(f3306,plain,
( spl0_115
| ~ spl0_247
| ~ spl0_17
| ~ spl0_213 ),
inference(split_clause,[status(thm)],[f3305,f1119,f1626,f769,f1489]) ).
fof(f3307,plain,
( h4(e10) != op2(h4(e12),e20)
| ~ spl0_247
| ~ spl0_32
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f1627,f2447]) ).
fof(f3308,plain,
( h4(e12) = op2(h4(e13),e20)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1627,f2357]) ).
fof(f3309,plain,
( h4(e13) = op2(h1(e13),e20)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1627,f2339]) ).
fof(f3310,plain,
( h4(e13) = op2(e20,e20)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1627,f3309]) ).
fof(f3311,plain,
( h4(e13) = e23
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f2296,f3310]) ).
fof(f3312,plain,
( $false
| spl0_231
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f3311,f1548]) ).
fof(f3313,plain,
( spl0_231
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3314,plain,
( h1(e12) = op2(e20,e23)
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1627,f2326]) ).
fof(f3325,plain,
( h4(e10) != op2(h4(e13),e23)
| ~ spl0_247
| ~ spl0_60
| spl0_224 ),
inference(backward_demodulation,[status(thm)],[f3311,f3010]) ).
fof(f3326,plain,
( h4(e10) != op2(e23,e23)
| ~ spl0_247
| ~ spl0_60
| spl0_224 ),
inference(forward_demodulation,[status(thm)],[f3311,f3325]) ).
fof(f3327,plain,
( h4(e11) != op2(e23,h4(e12))
| ~ spl0_247
| ~ spl0_57
| spl0_223 ),
inference(backward_demodulation,[status(thm)],[f3311,f2759]) ).
fof(f3331,plain,
( h1(e10) != e23
| ~ spl0_60
| spl0_155
| ~ spl0_247 ),
inference(paramodulation,[status(thm)],[f3311,f3005]) ).
fof(f3332,plain,
( ~ spl0_159
| ~ spl0_60
| spl0_155
| ~ spl0_247 ),
inference(split_clause,[status(thm)],[f3331,f1315,f909,f1303,f1626]) ).
fof(f3345,plain,
( h2(e12) != h1(e12)
| ~ spl0_247
| ~ spl0_14
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f3314,f2725]) ).
fof(f3351,plain,
( h4(e10) != e20
| ~ spl0_60
| spl0_224
| ~ spl0_247 ),
inference(paramodulation,[status(thm)],[f3296,f3326]) ).
fof(f3352,plain,
( ~ spl0_280
| ~ spl0_60
| spl0_224
| ~ spl0_247 ),
inference(split_clause,[status(thm)],[f3351,f1758,f909,f1522,f1626]) ).
fof(f3358,plain,
( h4(e12) = op2(e23,e20)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f3311,f3308]) ).
fof(f3359,plain,
( h4(e12) = e22
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f2318,f3358]) ).
fof(f3360,plain,
( $false
| spl0_290
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f3359,f1800]) ).
fof(f3361,plain,
( spl0_290
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f3360]) ).
fof(f3363,plain,
( h4(e10) != op2(e22,e20)
| ~ spl0_247
| ~ spl0_32
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f3359,f3307]) ).
fof(f3364,plain,
( h4(e10) != e20
| ~ spl0_96
| ~ spl0_247
| ~ spl0_32
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f1059,f3363]) ).
fof(f3365,plain,
( e20 != e20
| ~ spl0_280
| ~ spl0_96
| ~ spl0_247
| ~ spl0_32
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f1759,f3364]) ).
fof(f3366,plain,
( $false
| ~ spl0_280
| ~ spl0_96
| ~ spl0_247
| ~ spl0_32
| spl0_217 ),
inference(trivial_equality_resolution,[status(esa)],[f3365]) ).
fof(f3367,plain,
( ~ spl0_280
| ~ spl0_96
| ~ spl0_247
| ~ spl0_32
| spl0_217 ),
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3368,plain,
( h4(e10) != op2(e20,e22)
| ~ spl0_247
| ~ spl0_8
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f3359,f3298]) ).
fof(f3371,plain,
( h4(op1(e12,e12)) != op2(h4(e12),e22)
| ~ spl0_247
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f3359,f1509]) ).
fof(f3372,plain,
( h4(op1(e12,e12)) != op2(e22,e22)
| ~ spl0_247
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f3359,f3371]) ).
fof(f3393,plain,
( op1(e10,e13) != e12
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f812,f134]) ).
fof(f3394,plain,
( ~ spl0_14
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f3393,f759,f811]) ).
fof(f3422,plain,
( h4(e11) != op2(e23,e22)
| ~ spl0_247
| ~ spl0_57
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f3359,f3327]) ).
fof(f3427,plain,
( h2(e13) != e23
| ~ spl0_95
| ~ spl0_31
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f1055,f2505]) ).
fof(f3428,plain,
( ~ spl0_185
| ~ spl0_95
| ~ spl0_31
| spl0_170 ),
inference(split_clause,[status(thm)],[f3427,f1400,f1054,f814,f1352]) ).
fof(f3450,plain,
( op1(e12,e11) = e13
| ~ spl0_45
| ~ spl0_236 ),
inference(backward_demodulation,[status(thm)],[f861,f1566]) ).
fof(f3451,plain,
( spl0_39
| ~ spl0_45
| ~ spl0_236 ),
inference(split_clause,[status(thm)],[f3450,f840,f860,f1565]) ).
fof(f3455,plain,
( op1(e13,e12) = e10
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f2289,f1198]) ).
fof(f3456,plain,
( $false
| spl0_56
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f3455,f898]) ).
fof(f3457,plain,
( spl0_56
| ~ spl0_129 ),
inference(contradiction_clause,[status(thm)],[f3456]) ).
fof(f3464,plain,
( ~ spl0_105
| ~ spl0_103
| ~ spl0_172
| ~ spl0_240 ),
inference(split_clause,[status(thm)],[f3230,f1087,f1080,f1358,f1589]) ).
fof(f3466,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f2786,f730,f886]) ).
fof(f3469,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f2903,f743,f756]) ).
fof(f3487,plain,
( op2(e23,e21) != e23
| ~ spl0_123 ),
inference(paramodulation,[status(thm)],[f1146,f209]) ).
fof(f3488,plain,
( ~ spl0_119
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f3487,f1132,f1145]) ).
fof(f3491,plain,
( op2(e22,e22) != e23
| ~ spl0_123 ),
inference(paramodulation,[status(thm)],[f1146,f181]) ).
fof(f3492,plain,
( ~ spl0_107
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f3491,f1093,f1145]) ).
fof(f3496,plain,
( h4(e10) != e20
| ~ spl0_72
| ~ spl0_247
| ~ spl0_8
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f981,f3368]) ).
fof(f3497,plain,
( ~ spl0_280
| ~ spl0_72
| ~ spl0_247
| ~ spl0_8
| spl0_211 ),
inference(split_clause,[status(thm)],[f3496,f1758,f980,f1626,f740,f1483]) ).
fof(f3498,plain,
( h2(e10) != e20
| ~ spl0_72
| ~ spl0_8
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f981,f3049]) ).
fof(f3499,plain,
( ~ spl0_256
| ~ spl0_72
| ~ spl0_8
| spl0_165 ),
inference(split_clause,[status(thm)],[f3498,f1662,f980,f740,f1337]) ).
fof(f3566,plain,
( op1(e12,e11) = e12
| ~ spl0_41
| ~ spl0_235 ),
inference(backward_demodulation,[status(thm)],[f848,f1562]) ).
fof(f3567,plain,
( spl0_38
| ~ spl0_41
| ~ spl0_235 ),
inference(split_clause,[status(thm)],[f3566,f837,f847,f1561]) ).
fof(f3578,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f3078,f840,f892]) ).
fof(f3616,plain,
( op1(e10,e13) != e11
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f861,f135]) ).
fof(f3617,plain,
( ~ spl0_13
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f3616,f756,f860]) ).
fof(f3620,plain,
( $false
| ~ spl0_8
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f715,f3051]) ).
fof(f3621,plain,
( ~ spl0_8
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f3620]) ).
fof(f3625,plain,
( $false
| ~ spl0_109
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f3179]) ).
fof(f3626,plain,
( ~ spl0_109
| ~ spl0_77 ),
inference(contradiction_clause,[status(thm)],[f3625]) ).
fof(f3649,plain,
( h2(e13) != op2(e22,e22)
| ~ spl0_43
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f854,f2489]) ).
fof(f3650,plain,
( h4(e13) != op2(e22,e22)
| ~ spl0_43
| ~ spl0_247
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f854,f3372]) ).
fof(f3651,plain,
( h4(e13) != h3(e10)
| ~ spl0_43
| ~ spl0_247
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f289,f3650]) ).
fof(f3653,plain,
( op1(e12,e10) != e13
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f854,f153]) ).
fof(f3700,plain,
( h2(e12) != op2(e22,e21)
| ~ spl0_38
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f838,f3024]) ).
fof(f3717,plain,
( h4(e11) != e23
| ~ spl0_123
| ~ spl0_247
| ~ spl0_57
| spl0_223 ),
inference(backward_demodulation,[status(thm)],[f1146,f3422]) ).
fof(f3718,plain,
( ~ spl0_229
| ~ spl0_123
| ~ spl0_247
| ~ spl0_57
| spl0_223 ),
inference(split_clause,[status(thm)],[f3717,f1538,f1145,f1626,f899,f1519]) ).
fof(f3743,plain,
( op2(e22,e23) = e21
| ~ spl0_103
| ~ spl0_240 ),
inference(backward_demodulation,[status(thm)],[f1081,f1590]) ).
fof(f3744,plain,
( spl0_109
| ~ spl0_103
| ~ spl0_240 ),
inference(split_clause,[status(thm)],[f3743,f1100,f1080,f1589]) ).
fof(f3776,plain,
( h2(e11) != e21
| ~ spl0_121
| ~ spl0_57
| spl0_177 ),
inference(backward_demodulation,[status(thm)],[f1140,f2761]) ).
fof(f3777,plain,
( ~ spl0_261
| ~ spl0_121
| ~ spl0_57
| spl0_177 ),
inference(split_clause,[status(thm)],[f3776,f1682,f1139,f899,f1373]) ).
fof(f3792,plain,
( h1(e12) = e22
| ~ spl0_78
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1000,f3314]) ).
fof(f3793,plain,
( $false
| spl0_254
| ~ spl0_78
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[status(thm)],[f3792,f1656]) ).
fof(f3794,plain,
( spl0_254
| ~ spl0_78
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f3793]) ).
fof(f3805,plain,
( e22 != h1(e12)
| ~ spl0_247
| ~ spl0_14
| spl0_166 ),
inference(paramodulation,[status(thm)],[f2344,f3345]) ).
fof(f3806,plain,
( ~ spl0_254
| ~ spl0_247
| ~ spl0_14
| spl0_166 ),
inference(split_clause,[status(thm)],[f3805,f1654,f1626,f759,f1340]) ).
fof(f3832,plain,
( h2(e13) != e23
| ~ spl0_107
| ~ spl0_43
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f1094,f3649]) ).
fof(f3833,plain,
( ~ spl0_185
| ~ spl0_107
| ~ spl0_43
| spl0_173 ),
inference(split_clause,[status(thm)],[f3832,f1400,f1093,f853,f1361]) ).
fof(f3834,plain,
( h3(e10) = e23
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f1094,f289]) ).
fof(f3835,plain,
( $false
| spl0_205
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f3834,f1463]) ).
fof(f3836,plain,
( spl0_205
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f3835]) ).
fof(f3847,plain,
( h2(e11) != op2(e22,e23)
| ~ spl0_45
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f861,f2843]) ).
fof(f3848,plain,
( e23 != h3(e10)
| ~ spl0_43
| spl0_219
| ~ spl0_247 ),
inference(paramodulation,[status(thm)],[f3311,f3651]) ).
fof(f3849,plain,
( ~ spl0_205
| ~ spl0_43
| spl0_219
| ~ spl0_247 ),
inference(split_clause,[status(thm)],[f3848,f1461,f853,f1507,f1626]) ).
fof(f3856,plain,
( e22 = op2(e22,e23)
| ~ spl0_107
| ~ spl0_17
| ~ spl0_190 ),
inference(backward_demodulation,[status(thm)],[f3834,f3267]) ).
fof(f3857,plain,
( spl0_110
| ~ spl0_107
| ~ spl0_17
| ~ spl0_190 ),
inference(split_clause,[status(thm)],[f3856,f1103,f1093,f769,f1416]) ).
fof(f3860,plain,
( h3(e13) = op2(h3(e10),e23)
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f3834,f2337]) ).
fof(f3861,plain,
( h3(e13) = op2(e23,e23)
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f3834,f3860]) ).
fof(f3862,plain,
( h3(e13) = e20
| ~ spl0_247
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f3296,f3861]) ).
fof(f3863,plain,
( $false
| spl0_271
| ~ spl0_247
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f3862,f1724]) ).
fof(f3864,plain,
( spl0_271
| ~ spl0_247
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f3863]) ).
fof(f3871,plain,
( h3(e10) != op2(h3(e13),e20)
| ~ spl0_247
| ~ spl0_107
| ~ spl0_60
| spl0_201 ),
inference(backward_demodulation,[status(thm)],[f3862,f3009]) ).
fof(f3872,plain,
( h3(e10) != op2(e20,e20)
| ~ spl0_247
| ~ spl0_107
| ~ spl0_60
| spl0_201 ),
inference(forward_demodulation,[status(thm)],[f3862,f3871]) ).
fof(f3875,plain,
( h3(e13) != op2(e20,e22)
| ~ spl0_247
| ~ spl0_107
| ~ spl0_55
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f3862,f3071]) ).
fof(f3876,plain,
( h3(e13) != e20
| ~ spl0_72
| ~ spl0_247
| ~ spl0_107
| ~ spl0_55
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f981,f3875]) ).
fof(f3877,plain,
( e20 != e20
| ~ spl0_72
| ~ spl0_247
| ~ spl0_107
| ~ spl0_55
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f3862,f3876]) ).
fof(f3878,plain,
( $false
| ~ spl0_72
| ~ spl0_247
| ~ spl0_107
| ~ spl0_55
| spl0_199 ),
inference(trivial_equality_resolution,[status(esa)],[f3877]) ).
fof(f3879,plain,
( ~ spl0_72
| ~ spl0_247
| ~ spl0_107
| ~ spl0_55
| spl0_199 ),
inference(contradiction_clause,[status(thm)],[f3878]) ).
fof(f3880,plain,
( h3(e13) != op2(e22,e20)
| ~ spl0_247
| ~ spl0_107
| ~ spl0_31
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f3862,f2450]) ).
fof(f3881,plain,
( h3(e13) != e20
| ~ spl0_96
| ~ spl0_247
| ~ spl0_107
| ~ spl0_31
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1059,f3880]) ).
fof(f3882,plain,
( e20 != e20
| ~ spl0_96
| ~ spl0_247
| ~ spl0_107
| ~ spl0_31
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f3862,f3881]) ).
fof(f3883,plain,
( $false
| ~ spl0_96
| ~ spl0_247
| ~ spl0_107
| ~ spl0_31
| spl0_193 ),
inference(trivial_equality_resolution,[status(esa)],[f3882]) ).
fof(f3884,plain,
( ~ spl0_96
| ~ spl0_247
| ~ spl0_107
| ~ spl0_31
| spl0_193 ),
inference(contradiction_clause,[status(thm)],[f3883]) ).
fof(f3910,plain,
( h2(e11) != e21
| ~ spl0_109
| ~ spl0_45
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1101,f3847]) ).
fof(f3911,plain,
( e21 != e21
| ~ spl0_109
| ~ spl0_45
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f284,f3910]) ).
fof(f3912,plain,
( $false
| ~ spl0_109
| ~ spl0_45
| spl0_174 ),
inference(trivial_equality_resolution,[status(esa)],[f3911]) ).
fof(f3913,plain,
( ~ spl0_109
| ~ spl0_45
| spl0_174 ),
inference(contradiction_clause,[status(thm)],[f3912]) ).
fof(f3915,plain,
( h3(e10) != e23
| ~ spl0_247
| ~ spl0_107
| ~ spl0_60
| spl0_201 ),
inference(paramodulation,[status(thm)],[f2296,f3872]) ).
fof(f3916,plain,
( ~ spl0_205
| ~ spl0_247
| ~ spl0_107
| ~ spl0_60
| spl0_201 ),
inference(split_clause,[status(thm)],[f3915,f1461,f1626,f1093,f909,f1449]) ).
fof(f3923,plain,
( h2(e12) != e22
| ~ spl0_102
| ~ spl0_38
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f1078,f3700]) ).
fof(f3924,plain,
( ~ spl0_266
| ~ spl0_102
| ~ spl0_38
| spl0_172 ),
inference(split_clause,[status(thm)],[f3923,f1702,f1077,f837,f1358]) ).
fof(f3934,plain,
( op2(e22,e22) = e21
| ~ spl0_102
| ~ spl0_240 ),
inference(forward_demodulation,[status(thm)],[f1078,f1590]) ).
fof(f3935,plain,
( $false
| spl0_105
| ~ spl0_102
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[status(thm)],[f3934,f1089]) ).
fof(f3936,plain,
( spl0_105
| ~ spl0_102
| ~ spl0_240 ),
inference(contradiction_clause,[status(thm)],[f3935]) ).
fof(f3937,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f721,f2293]) ).
fof(f3938,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f3937]) ).
fof(f3939,plain,
( ~ spl0_35
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f3653,f827,f853]) ).
fof(f3945,plain,
( $false
| spl0_304
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f3205]) ).
fof(f3946,plain,
( spl0_304
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f3945]) ).
fof(f3947,plain,
$false,
inference(sat_refutation,[status(thm)],[f739,f752,f765,f778,f817,f830,f869,f895,f908,f922,f927,f930,f934,f935,f936,f937,f940,f942,f943,f944,f945,f946,f948,f953,f979,f992,f1005,f1018,f1057,f1070,f1083,f1096,f1109,f1122,f1135,f1148,f1162,f1174,f1175,f1176,f1177,f1179,f1180,f1182,f1183,f1184,f1185,f1186,f1187,f1188,f1189,f1192,f1193,f1200,f1213,f1220,f1223,f1225,f1232,f1236,f1240,f1244,f1245,f1252,f1255,f1257,f1403,f1564,f1568,f1576,f1577,f1588,f1592,f1596,f1608,f1609,f1621,f1665,f1685,f1705,f1725,f1749,f1761,f1801,f1812,f1816,f1820,f1824,f1825,f1827,f1833,f1834,f1844,f1848,f1852,f1856,f1857,f1859,f1860,f1864,f1865,f1866,f1873,f1889,f1893,f1902,f1906,f1910,f1914,f1917,f1918,f1922,f1932,f1940,f1941,f1949,f1953,f1958,f1961,f1962,f1963,f1967,f1968,f1969,f1976,f1977,f1978,f1985,f1994,f2003,f2012,f2021,f2022,f2025,f2026,f2030,f2031,f2033,f2034,f2035,f2041,f2050,f2058,f2062,f2067,f2070,f2071,f2075,f2076,f2080,f2084,f2085,f2093,f2094,f2096,f2097,f2098,f2102,f2105,f2106,f2107,f2111,f2120,f2126,f2131,f2132,f2134,f2136,f2137,f2139,f2154,f2159,f2171,f2174,f2200,f2202,f2210,f2223,f2236,f2244,f2251,f2265,f2279,f2299,f2332,f2346,f2365,f2387,f2395,f2412,f2422,f2428,f2431,f2435,f2440,f2443,f2458,f2468,f2480,f2512,f2520,f2537,f2545,f2562,f2565,f2567,f2574,f2579,f2585,f2591,f2593,f2596,f2599,f2602,f2603,f2609,f2618,f2626,f2631,f2635,f2641,f2660,f2676,f2684,f2688,f2690,f2694,f2699,f2705,f2708,f2715,f2718,f2719,f2722,f2737,f2740,f2748,f2766,f2771,f2774,f2776,f2782,f2784,f2795,f2810,f2817,f2827,f2831,f2844,f2847,f2848,f2851,f2864,f2869,f2879,f2885,f2887,f2888,f2889,f2890,f2894,f2900,f2909,f2910,f2916,f2918,f2926,f2930,f2933,f2947,f2970,f2973,f3017,f3020,f3034,f3058,f3063,f3068,f3114,f3139,f3152,f3170,f3183,f3185,f3186,f3189,f3194,f3196,f3203,f3208,f3217,f3250,f3256,f3260,f3262,f3277,f3283,f3287,f3293,f3294,f3306,f3313,f3332,f3352,f3361,f3367,f3394,f3428,f3451,f3457,f3464,f3466,f3469,f3488,f3492,f3497,f3499,f3567,f3578,f3617,f3621,f3626,f3718,f3744,f3777,f3794,f3806,f3833,f3836,f3849,f3857,f3864,f3879,f3884,f3913,f3916,f3924,f3936,f3938,f3939,f3946]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG126+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:10:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 2.85/0.74 % Refutation found
% 2.85/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.85/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.85/0.75 % Elapsed time: 0.408385 seconds
% 2.85/0.75 % CPU time: 2.984246 seconds
% 2.85/0.75 % Total memory used: 57.488 MB
% 2.85/0.75 % Net memory used: 55.666 MB
%------------------------------------------------------------------------------