TSTP Solution File: ALG120+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG120+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:10:01 EDT 2024
% Result : Theorem 2.11s 0.70s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 324
% Syntax : Number of formulae : 1948 ( 204 unt; 0 def)
% Number of atoms : 9368 (6079 equ)
% Maximal formula atoms : 176 ( 4 avg)
% Number of connectives : 12437 (5017 ~;3843 |;3270 &)
% ( 265 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 309 ( 307 usr; 308 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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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(e13,e11) = e13
& op1(e11,e13) = 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(e13,e12) = e13
& op1(e12,e13) = 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(e13,e13) = e13
& op1(e13,e13) = 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 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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(e23,e21) = e23
& op2(e21,e23) = 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(e23,e22) = e23
& op2(e22,e23) = 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(e23,e23) = e23
& op2(e23,e23) = 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 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(op2(e22,e22),e22)
& e21 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f32,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f34,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f35,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f37,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f39,plain,
( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f40,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f41,plain,
( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f42,plain,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f45,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f46,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f50,plain,
( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f52,plain,
( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f61,plain,
( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f65,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f71,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(f83,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f86,plain,
( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f88,plain,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f90,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f92,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f93,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f94,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f98,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f112,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
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(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,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(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,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(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f180,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(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(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f240,plain,
( pd0_0
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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(e13,e11) = e13
& op1(e11,e13) = 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(e13,e12) = e13
& op1(e12,e13) = 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 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( ( op1(e10,e10) != e10
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e11) != e10
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e12) != e10
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) != e10
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e11,e11) != e11
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e11,e13) != e11
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e12,e11) != e12
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e12,e12) != e12
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e12,e13) != e12
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e11) != e13
| op1(e10,e10) = e11
| op1(e11,e11) = e11
| op1(e12,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e12) != e13
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e13) != e13
| op1(e10,e10) = e13
| op1(e11,e11) = e13
| op1(e12,e12) = e13
| op1(e13,e13) = e13 )
& ( pd0_0
| ( op1(e13,e13) = e13
& op1(e13,e13) = 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 ) ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f246,plain,
( op1(e11,e10) != e11
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f248,plain,
( op1(e11,e12) != e11
| op1(e10,e10) = e12
| op1(e11,e11) = e12
| op1(e12,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f250,plain,
( op1(e12,e10) != e12
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f254,plain,
( op1(e13,e10) != e13
| op1(e10,e10) = e10
| op1(e11,e11) = e10
| op1(e12,e12) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f258,plain,
( pd0_0
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f264,plain,
( pd0_1
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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(e23,e21) = e23
& op2(e21,e23) = 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(e23,e22) = e23
& op2(e22,e23) = 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 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f265,plain,
( ( op2(e20,e20) != e20
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e21) != e20
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e22) != e20
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) != e20
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e21,e21) != e21
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e21,e23) != e21
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e22,e21) != e22
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e22,e22) != e22
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e22,e23) != e22
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e21) != e23
| op2(e20,e20) = e21
| op2(e21,e21) = e21
| op2(e22,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e22) != e23
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e23) != e23
| op2(e20,e20) = e23
| op2(e21,e21) = e23
| op2(e22,e22) = e23
| op2(e23,e23) = e23 )
& ( pd0_1
| ( op2(e23,e23) = e23
& op2(e23,e23) = 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 ) ) ),
inference(formula_renaming,[status(thm)],[f11,f264]) ).
fof(f270,plain,
( op2(e21,e20) != e21
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f272,plain,
( op2(e21,e22) != e21
| op2(e20,e20) = e22
| op2(e21,e21) = e22
| op2(e22,e22) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f274,plain,
( op2(e22,e20) != e22
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f278,plain,
( op2(e23,e20) != e23
| op2(e20,e20) = e20
| op2(e21,e21) = e20
| op2(e22,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f282,plain,
( pd0_1
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f288,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f289,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f290,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f291,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f292,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f293,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f294,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f295,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f296,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f297,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f298,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f299,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f300,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f301,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f302,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f303,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f304,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f305,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f306,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f307,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f308,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f309,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f310,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f311,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f312,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f313,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f314,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f315,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f316,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f317,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f318,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f319,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f320,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f310]) ).
fof(f321,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f310]) ).
fof(f322,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f310]) ).
fof(f323,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_2
| pd0_3
| pd0_4
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f310,f322,f321,f320,f319,f318,f317,f316,f315,f314,f313,f312,f311]) ).
fof(f335,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| h3(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f340,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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(e13,e11) = e13
& op1(e11,e13) = 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(e13,e12) = e13
& op1(e12,e13) = 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f341,plain,
( pd0_14
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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(e13,e11) = e13
& op1(e11,e13) = 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 ) ) ),
introduced(predicate_definition,[f340]) ).
fof(f342,plain,
( ~ pd0_0
| pd0_14
| ( op1(e13,e12) = e13
& op1(e12,e13) = 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 ) ),
inference(formula_renaming,[status(thm)],[f340,f341]) ).
fof(f343,plain,
( ~ pd0_0
| pd0_14
| op1(e13,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f342]) ).
fof(f349,plain,
( ~ pd0_1
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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(e23,e21) = e23
& op2(e21,e23) = 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(e23,e22) = e23
& op2(e22,e23) = 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f264]) ).
fof(f350,plain,
( pd0_15
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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(e23,e21) = e23
& op2(e21,e23) = 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 ) ) ),
introduced(predicate_definition,[f349]) ).
fof(f351,plain,
( ~ pd0_1
| pd0_15
| ( op2(e23,e22) = e23
& op2(e22,e23) = 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 ) ),
inference(formula_renaming,[status(thm)],[f349,f350]) ).
fof(f353,plain,
( ~ pd0_1
| pd0_15
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f351]) ).
fof(f358,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f311]) ).
fof(f361,plain,
( ~ pd0_2
| h1(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f363,plain,
( ~ pd0_3
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f365,plain,
( ~ pd0_3
| h1(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f368,plain,
( ~ pd0_4
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f313]) ).
fof(f369,plain,
( ~ pd0_4
| h1(e10) != e22 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f372,plain,
( ~ pd0_4
| h1(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f378,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f315]) ).
fof(f381,plain,
( ~ pd0_6
| h2(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f378]) ).
fof(f383,plain,
( ~ pd0_7
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f316]) ).
fof(f387,plain,
( ~ pd0_7
| h2(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f388,plain,
( ~ pd0_8
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f317]) ).
fof(f389,plain,
( ~ pd0_8
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f393,plain,
( ~ pd0_9
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f318]) ).
fof(f395,plain,
( ~ pd0_9
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f398,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f319]) ).
fof(f401,plain,
( ~ pd0_10
| h3(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f398]) ).
fof(f408,plain,
( ~ pd0_12
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f321]) ).
fof(f412,plain,
( ~ pd0_12
| h4(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f408]) ).
fof(f413,plain,
( ~ pd0_13
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f322]) ).
fof(f415,plain,
( ~ pd0_13
| h4(e11) != e22 ),
inference(cnf_transformation,[status(esa)],[f413]) ).
fof(f418,plain,
( ~ pd0_14
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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(e13,e11) = e13
& op1(e11,e13) = 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f341]) ).
fof(f419,plain,
( pd0_16
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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 ) ) ),
introduced(predicate_definition,[f418]) ).
fof(f420,plain,
( ~ pd0_14
| pd0_16
| ( op1(e13,e11) = e13
& op1(e11,e13) = 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 ) ),
inference(formula_renaming,[status(thm)],[f418,f419]) ).
fof(f421,plain,
( ~ pd0_14
| pd0_16
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f422,plain,
( ~ pd0_14
| pd0_16
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f425,plain,
( ~ pd0_14
| pd0_16
| op1(e13,op1(e13,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f426,plain,
( ~ pd0_14
| pd0_16
| op1(e13,op1(e13,e13)) != e13 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f427,plain,
( ~ pd0_15
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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(e23,e21) = e23
& op2(e21,e23) = 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f350]) ).
fof(f428,plain,
( pd0_17
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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 ) ) ),
introduced(predicate_definition,[f427]) ).
fof(f429,plain,
( ~ pd0_15
| pd0_17
| ( op2(e23,e21) = e23
& op2(e21,e23) = 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 ) ),
inference(formula_renaming,[status(thm)],[f427,f428]) ).
fof(f430,plain,
( ~ pd0_15
| pd0_17
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f429]) ).
fof(f435,plain,
( ~ pd0_15
| pd0_17
| op2(e23,op2(e23,e23)) != e23 ),
inference(cnf_transformation,[status(esa)],[f429]) ).
fof(f436,plain,
( ~ pd0_16
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& 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(e13,e10) = e13
& op1(e10,e13) = 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f419]) ).
fof(f437,plain,
( pd0_18
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(predicate_definition,[f436]) ).
fof(f438,plain,
( ~ pd0_16
| pd0_18
| ( op1(e13,e10) = e13
& op1(e10,e13) = 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 ) ),
inference(formula_renaming,[status(thm)],[f436,f437]) ).
fof(f439,plain,
( ~ pd0_16
| pd0_18
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f440,plain,
( ~ pd0_16
| pd0_18
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f443,plain,
( ~ pd0_16
| pd0_18
| op1(e13,op1(e13,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f438]) ).
fof(f445,plain,
( ~ pd0_17
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& 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(e23,e20) = e23
& op2(e20,e23) = 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 ) ),
inference(pre_NNF_transformation,[status(esa)],[f428]) ).
fof(f446,plain,
( pd0_19
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(predicate_definition,[f445]) ).
fof(f447,plain,
( ~ pd0_17
| pd0_19
| ( op2(e23,e20) = e23
& op2(e20,e23) = 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 ) ),
inference(formula_renaming,[status(thm)],[f445,f446]) ).
fof(f449,plain,
( ~ pd0_17
| pd0_19
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f453,plain,
( ~ pd0_17
| pd0_19
| op2(e23,op2(e23,e23)) != e23 ),
inference(cnf_transformation,[status(esa)],[f447]) ).
fof(f454,plain,
( ~ pd0_18
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& 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(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f437]) ).
fof(f455,plain,
( pd0_20
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(predicate_definition,[f454]) ).
fof(f456,plain,
( ~ pd0_18
| pd0_20
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f454,f455]) ).
fof(f458,plain,
( ~ pd0_18
| pd0_20
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f456]) ).
fof(f463,plain,
( ~ pd0_19
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& 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(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f446]) ).
fof(f464,plain,
( pd0_21
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(predicate_definition,[f463]) ).
fof(f465,plain,
( ~ pd0_19
| pd0_21
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f463,f464]) ).
fof(f467,plain,
( ~ pd0_19
| pd0_21
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f465]) ).
fof(f472,plain,
( ~ pd0_20
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& 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(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f455]) ).
fof(f473,plain,
( pd0_22
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(predicate_definition,[f472]) ).
fof(f474,plain,
( ~ pd0_20
| pd0_22
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f472,f473]) ).
fof(f475,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f474]) ).
fof(f481,plain,
( ~ pd0_21
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& 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(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f464]) ).
fof(f482,plain,
( pd0_23
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(predicate_definition,[f481]) ).
fof(f483,plain,
( ~ pd0_21
| pd0_23
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f481,f482]) ).
fof(f484,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f483]) ).
fof(f490,plain,
( ~ pd0_22
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& 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(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f473]) ).
fof(f491,plain,
( pd0_24
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ) ),
introduced(predicate_definition,[f490]) ).
fof(f492,plain,
( ~ pd0_22
| pd0_24
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f490,f491]) ).
fof(f493,plain,
( ~ pd0_22
| pd0_24
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f492]) ).
fof(f494,plain,
( ~ pd0_22
| pd0_24
| op1(e11,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f492]) ).
fof(f495,plain,
( ~ pd0_22
| pd0_24
| op1(e12,op1(e12,e10)) != e10 ),
inference(cnf_transformation,[status(esa)],[f492]) ).
fof(f496,plain,
( ~ pd0_22
| pd0_24
| op1(e12,op1(e12,e11)) != e11 ),
inference(cnf_transformation,[status(esa)],[f492]) ).
fof(f497,plain,
( ~ pd0_22
| pd0_24
| op1(e12,op1(e12,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f492]) ).
fof(f498,plain,
( ~ pd0_22
| pd0_24
| op1(e12,op1(e12,e13)) != e13 ),
inference(cnf_transformation,[status(esa)],[f492]) ).
fof(f499,plain,
( ~ pd0_23
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& 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(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f482]) ).
fof(f500,plain,
( pd0_25
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ) ),
introduced(predicate_definition,[f499]) ).
fof(f501,plain,
( ~ pd0_23
| pd0_25
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f499,f500]) ).
fof(f502,plain,
( ~ pd0_23
| pd0_25
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f501]) ).
fof(f503,plain,
( ~ pd0_23
| pd0_25
| op2(e21,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f501]) ).
fof(f504,plain,
( ~ pd0_23
| pd0_25
| op2(e22,op2(e22,e20)) != e20 ),
inference(cnf_transformation,[status(esa)],[f501]) ).
fof(f505,plain,
( ~ pd0_23
| pd0_25
| op2(e22,op2(e22,e21)) != e21 ),
inference(cnf_transformation,[status(esa)],[f501]) ).
fof(f506,plain,
( ~ pd0_23
| pd0_25
| op2(e22,op2(e22,e22)) != e22 ),
inference(cnf_transformation,[status(esa)],[f501]) ).
fof(f507,plain,
( ~ pd0_23
| pd0_25
| op2(e22,op2(e22,e23)) != e23 ),
inference(cnf_transformation,[status(esa)],[f501]) ).
fof(f508,plain,
( ~ pd0_24
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& 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(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f491]) ).
fof(f509,plain,
( pd0_26
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
introduced(predicate_definition,[f508]) ).
fof(f510,plain,
( ~ pd0_24
| pd0_26
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e12,op1(e12,e10)) != e10
& op1(e12,op1(e12,e11)) != e11
& op1(e12,op1(e12,e12)) != e12
& op1(e12,op1(e12,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f508,f509]) ).
fof(f511,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f510]) ).
fof(f513,plain,
( ~ pd0_24
| pd0_26
| op1(e12,op1(e12,e10)) != e10 ),
inference(cnf_transformation,[status(esa)],[f510]) ).
fof(f514,plain,
( ~ pd0_24
| pd0_26
| op1(e12,op1(e12,e11)) != e11 ),
inference(cnf_transformation,[status(esa)],[f510]) ).
fof(f515,plain,
( ~ pd0_24
| pd0_26
| op1(e12,op1(e12,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f510]) ).
fof(f517,plain,
( ~ pd0_25
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& 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(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f500]) ).
fof(f518,plain,
( pd0_27
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
introduced(predicate_definition,[f517]) ).
fof(f519,plain,
( ~ pd0_25
| pd0_27
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e22,op2(e22,e20)) != e20
& op2(e22,op2(e22,e21)) != e21
& op2(e22,op2(e22,e22)) != e22
& op2(e22,op2(e22,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f517,f518]) ).
fof(f520,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f519]) ).
fof(f523,plain,
( ~ pd0_25
| pd0_27
| op2(e22,op2(e22,e21)) != e21 ),
inference(cnf_transformation,[status(esa)],[f519]) ).
fof(f524,plain,
( ~ pd0_25
| pd0_27
| op2(e22,op2(e22,e22)) != e22 ),
inference(cnf_transformation,[status(esa)],[f519]) ).
fof(f526,plain,
( ~ pd0_26
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& 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(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f509]) ).
fof(f527,plain,
( pd0_28
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
introduced(predicate_definition,[f526]) ).
fof(f528,plain,
( ~ pd0_26
| pd0_28
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f526,f527]) ).
fof(f529,plain,
( ~ pd0_26
| pd0_28
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f528]) ).
fof(f535,plain,
( ~ pd0_27
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& 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(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f518]) ).
fof(f536,plain,
( pd0_29
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
introduced(predicate_definition,[f535]) ).
fof(f537,plain,
( ~ pd0_27
| pd0_29
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f535,f536]) ).
fof(f538,plain,
( ~ pd0_27
| pd0_29
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f537]) ).
fof(f544,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& 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(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f527]) ).
fof(f545,plain,
( pd0_30
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
introduced(predicate_definition,[f544]) ).
fof(f546,plain,
( ~ pd0_28
| pd0_30
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f544,f545]) ).
fof(f547,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f548,plain,
( ~ pd0_28
| pd0_30
| op1(e12,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f550,plain,
( ~ pd0_28
| pd0_30
| op1(e11,op1(e11,e11)) != e11 ),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f552,plain,
( ~ pd0_28
| pd0_30
| op1(e11,op1(e11,e13)) != e13 ),
inference(cnf_transformation,[status(esa)],[f546]) ).
fof(f553,plain,
( ~ pd0_29
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& 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(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f536]) ).
fof(f554,plain,
( pd0_31
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
introduced(predicate_definition,[f553]) ).
fof(f555,plain,
( ~ pd0_29
| pd0_31
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f553,f554]) ).
fof(f556,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f557,plain,
( ~ pd0_29
| pd0_31
| op2(e22,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f558,plain,
( ~ pd0_29
| pd0_31
| op2(e21,op2(e21,e20)) != e20 ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f561,plain,
( ~ pd0_29
| pd0_31
| op2(e21,op2(e21,e23)) != e23 ),
inference(cnf_transformation,[status(esa)],[f555]) ).
fof(f562,plain,
( ~ pd0_30
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& 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(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f545]) ).
fof(f563,plain,
( pd0_32
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ) ),
introduced(predicate_definition,[f562]) ).
fof(f564,plain,
( ~ pd0_30
| pd0_32
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f562,f563]) ).
fof(f565,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f564]) ).
fof(f567,plain,
( ~ pd0_30
| pd0_32
| op1(e11,op1(e11,e10)) != e10 ),
inference(cnf_transformation,[status(esa)],[f564]) ).
fof(f569,plain,
( ~ pd0_30
| pd0_32
| op1(e11,op1(e11,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f564]) ).
fof(f571,plain,
( ~ pd0_31
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& 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(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f554]) ).
fof(f572,plain,
( pd0_33
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ) ),
introduced(predicate_definition,[f571]) ).
fof(f573,plain,
( ~ pd0_31
| pd0_33
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f571,f572]) ).
fof(f574,plain,
( ~ pd0_31
| pd0_33
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f573]) ).
fof(f576,plain,
( ~ pd0_31
| pd0_33
| op2(e21,op2(e21,e20)) != e20 ),
inference(cnf_transformation,[status(esa)],[f573]) ).
fof(f577,plain,
( ~ pd0_31
| pd0_33
| op2(e21,op2(e21,e21)) != e21 ),
inference(cnf_transformation,[status(esa)],[f573]) ).
fof(f580,plain,
( ~ pd0_32
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& 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(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f563]) ).
fof(f581,plain,
( pd0_34
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
introduced(predicate_definition,[f580]) ).
fof(f582,plain,
( ~ pd0_32
| pd0_34
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e11,op1(e11,e10)) != e10
& op1(e11,op1(e11,e11)) != e11
& op1(e11,op1(e11,e12)) != e12
& op1(e11,op1(e11,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f580,f581]) ).
fof(f583,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f582]) ).
fof(f584,plain,
( ~ pd0_32
| pd0_34
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f582]) ).
fof(f587,plain,
( ~ pd0_32
| pd0_34
| op1(e11,op1(e11,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f582]) ).
fof(f589,plain,
( ~ pd0_33
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& 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(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f572]) ).
fof(f590,plain,
( pd0_35
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
introduced(predicate_definition,[f589]) ).
fof(f591,plain,
( ~ pd0_33
| pd0_35
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e21,op2(e21,e20)) != e20
& op2(e21,op2(e21,e21)) != e21
& op2(e21,op2(e21,e22)) != e22
& op2(e21,op2(e21,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f589,f590]) ).
fof(f592,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f591]) ).
fof(f593,plain,
( ~ pd0_33
| pd0_35
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f591]) ).
fof(f594,plain,
( ~ pd0_33
| pd0_35
| op2(e21,op2(e21,e20)) != e20 ),
inference(cnf_transformation,[status(esa)],[f591]) ).
fof(f598,plain,
( ~ pd0_34
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& 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,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f581]) ).
fof(f599,plain,
( pd0_36
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
introduced(predicate_definition,[f598]) ).
fof(f600,plain,
( ~ pd0_34
| pd0_36
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f598,f599]) ).
fof(f601,plain,
( ~ pd0_34
| pd0_36
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f600]) ).
fof(f602,plain,
( ~ pd0_34
| pd0_36
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f600]) ).
fof(f607,plain,
( ~ pd0_35
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& 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,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f590]) ).
fof(f608,plain,
( pd0_37
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
introduced(predicate_definition,[f607]) ).
fof(f609,plain,
( ~ pd0_35
| pd0_37
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f607,f608]) ).
fof(f610,plain,
( ~ pd0_35
| pd0_37
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f609]) ).
fof(f611,plain,
( ~ pd0_35
| pd0_37
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f609]) ).
fof(f616,plain,
( ~ pd0_36
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& 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,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f599]) ).
fof(f617,plain,
( pd0_38
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ) ),
introduced(predicate_definition,[f616]) ).
fof(f618,plain,
( ~ pd0_36
| pd0_38
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f616,f617]) ).
fof(f619,plain,
( ~ pd0_36
| pd0_38
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f618]) ).
fof(f623,plain,
( ~ pd0_36
| pd0_38
| op1(e10,op1(e10,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f618]) ).
fof(f625,plain,
( ~ pd0_37
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& 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,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f608]) ).
fof(f626,plain,
( pd0_39
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ) ),
introduced(predicate_definition,[f625]) ).
fof(f627,plain,
( ~ pd0_37
| pd0_39
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f625,f626]) ).
fof(f628,plain,
( ~ pd0_37
| pd0_39
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f627]) ).
fof(f634,plain,
( ~ pd0_38
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& 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,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f617]) ).
fof(f635,plain,
( pd0_40
=> ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
introduced(predicate_definition,[f634]) ).
fof(f636,plain,
( ~ pd0_38
| pd0_40
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(formula_renaming,[status(thm)],[f634,f635]) ).
fof(f637,plain,
( ~ pd0_38
| pd0_40
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f636]) ).
fof(f638,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f636]) ).
fof(f641,plain,
( ~ pd0_38
| pd0_40
| op1(e10,op1(e10,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f636]) ).
fof(f643,plain,
( ~ pd0_39
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& 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,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f626]) ).
fof(f644,plain,
( pd0_41
=> ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
introduced(predicate_definition,[f643]) ).
fof(f645,plain,
( ~ pd0_39
| pd0_41
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(formula_renaming,[status(thm)],[f643,f644]) ).
fof(f646,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f645]) ).
fof(f647,plain,
( ~ pd0_39
| pd0_41
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f645]) ).
fof(f648,plain,
( ~ pd0_39
| pd0_41
| op2(e20,op2(e20,e20)) != e20 ),
inference(cnf_transformation,[status(esa)],[f645]) ).
fof(f650,plain,
( ~ pd0_39
| pd0_41
| op2(e20,op2(e20,e22)) != e22 ),
inference(cnf_transformation,[status(esa)],[f645]) ).
fof(f651,plain,
( ~ pd0_39
| pd0_41
| op2(e20,op2(e20,e23)) != e23 ),
inference(cnf_transformation,[status(esa)],[f645]) ).
fof(f652,plain,
( ~ pd0_40
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,op1(e10,e10)) != e10
& op1(e10,op1(e10,e11)) != e11
& op1(e10,op1(e10,e12)) != e12
& op1(e10,op1(e10,e13)) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f635]) ).
fof(f653,plain,
( ~ pd0_40
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f652]) ).
fof(f655,plain,
( ~ pd0_40
| op1(e10,op1(e10,e10)) != e10 ),
inference(cnf_transformation,[status(esa)],[f652]) ).
fof(f657,plain,
( ~ pd0_40
| op1(e10,op1(e10,e12)) != e12 ),
inference(cnf_transformation,[status(esa)],[f652]) ).
fof(f658,plain,
( ~ pd0_40
| op1(e10,op1(e10,e13)) != e13 ),
inference(cnf_transformation,[status(esa)],[f652]) ).
fof(f659,plain,
( ~ pd0_41
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,op2(e20,e20)) != e20
& op2(e20,op2(e20,e21)) != e21
& op2(e20,op2(e20,e22)) != e22
& op2(e20,op2(e20,e23)) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f644]) ).
fof(f660,plain,
( ~ pd0_41
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f659]) ).
fof(f662,plain,
( ~ pd0_41
| op2(e20,op2(e20,e20)) != e20 ),
inference(cnf_transformation,[status(esa)],[f659]) ).
fof(f664,plain,
( ~ pd0_41
| op2(e20,op2(e20,e22)) != e22 ),
inference(cnf_transformation,[status(esa)],[f659]) ).
fof(f665,plain,
( ~ pd0_41
| op2(e20,op2(e20,e23)) != e23 ),
inference(cnf_transformation,[status(esa)],[f659]) ).
fof(f666,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f667,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f669,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f670,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f669]) ).
fof(f672,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f673,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f672]) ).
fof(f675,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f676,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f675]) ).
fof(f678,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f20,f666,f669,f672,f675]) ).
fof(f679,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f680,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f679]) ).
fof(f682,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f686,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f685]) ).
fof(f688,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f21,f679,f682,f685,f688]) ).
fof(f692,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f693,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f695,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f695]) ).
fof(f698,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f699,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f698]) ).
fof(f701,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f702,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f701]) ).
fof(f705,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f706,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f711,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f712,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f715,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f718,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f719,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f718]) ).
fof(f721,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f722,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f721]) ).
fof(f724,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f727,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f24,f718,f721,f724,f727]) ).
fof(f731,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f732,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f735,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f738,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f740,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f731,f734,f737,f740]) ).
fof(f744,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f748,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f747]) ).
fof(f750,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f751,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f750]) ).
fof(f753,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f754,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f753]) ).
fof(f756,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f26,f744,f747,f750,f753]) ).
fof(f757,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f758,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f760,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f761,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f763,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f767,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f766]) ).
fof(f769,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f757,f760,f763,f766]) ).
fof(f770,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f774,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f776,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f777,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f776]) ).
fof(f783,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f784,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f786,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f787,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f790,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f793,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f792]) ).
fof(f796,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f797,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f803,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f796,f799,f802,f805]) ).
fof(f809,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f813,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f816,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f819,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f31,f809,f812,f815,f818]) ).
fof(f822,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f826,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f829,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f832,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f32,f822,f825,f828,f831]) ).
fof(f835,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f838,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f845,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f848,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f852,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f851]) ).
fof(f854,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f855,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f858,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f848,f851,f854,f857]) ).
fof(f861,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f862,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f864,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f868,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f871,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f861,f864,f867,f870]) ).
fof(f875,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f666,f718,f770,f822]) ).
fof(f877,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f39,f669,f721,f773,f825]) ).
fof(f878,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f40,f672,f685,f698,f711]) ).
fof(f879,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f672,f724,f776,f828]) ).
fof(f880,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f675,f688,f701,f714]) ).
fof(f883,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f45,f679,f731,f783,f835]) ).
fof(f884,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f46,f721,f734,f747,f760]) ).
fof(f888,plain,
( spl0_19
| spl0_23
| spl0_27
| spl0_31 ),
inference(split_clause,[status(thm)],[f50,f727,f740,f753,f766]) ).
fof(f889,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f688,f740,f792,f844]) ).
fof(f890,plain,
( spl0_32
| spl0_36
| spl0_40
| spl0_44 ),
inference(split_clause,[status(thm)],[f52,f770,f783,f796,f809]) ).
fof(f892,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f773,f786,f799,f812]) ).
fof(f893,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f695,f747,f799,f851]) ).
fof(f894,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f776,f789,f802,f815]) ).
fof(f895,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f698,f750,f802,f854]) ).
fof(f899,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f61,f705,f757,f809,f861]) ).
fof(f902,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f64,f828,f841,f854,f867]) ).
fof(f903,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f711,f763,f815,f867]) ).
fof(f904,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f66,f831,f844,f857,f870]) ).
fof(f905,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f714,f766,f818,f870]) ).
fof(f906,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f907,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f906]) ).
fof(f909,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f910,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f913,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f916,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f915]) ).
fof(f918,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f68,f906,f909,f912,f915]) ).
fof(f919,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f920,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f919]) ).
fof(f922,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f923,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f922]) ).
fof(f925,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f926,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f929,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f932,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f933,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f932]) ).
fof(f935,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f936,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f939,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f941,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f942,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f941]) ).
fof(f945,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f946,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f945]) ).
fof(f948,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f949,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f951,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f952,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f951]) ).
fof(f954,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f955,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f954]) ).
fof(f957,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79 ),
inference(split_clause,[status(thm)],[f71,f945,f948,f951,f954]) ).
fof(f958,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f959,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f958]) ).
fof(f961,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f962,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f968,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f971,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f972,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f974,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f975,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f974]) ).
fof(f977,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f978,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f980,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f981,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f980]) ).
fof(f983,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87 ),
inference(split_clause,[status(thm)],[f73,f971,f974,f977,f980]) ).
fof(f984,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f985,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f987,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f988,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f987]) ).
fof(f990,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f991,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f990]) ).
fof(f993,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f994,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f984,f987,f990,f993]) ).
fof(f997,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f998,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f997]) ).
fof(f1000,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1001,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f1000]) ).
fof(f1003,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1004,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1010,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1011,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f1010]) ).
fof(f1013,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1014,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1017,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f1016]) ).
fof(f1019,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1020,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f1019]) ).
fof(f1023,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1024,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1027,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1030,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1033,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1036,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1037,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f1036]) ).
fof(f1039,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1040,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f1039]) ).
fof(f1042,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1043,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f1042]) ).
fof(f1045,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1048,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f1036,f1039,f1042,f1045]) ).
fof(f1049,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1050,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f1049]) ).
fof(f1052,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1053,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f1052]) ).
fof(f1055,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1056,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f1055]) ).
fof(f1058,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1059,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1058]) ).
fof(f1061,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111 ),
inference(split_clause,[status(thm)],[f79,f1049,f1052,f1055,f1058]) ).
fof(f1062,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1063,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1066,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1069,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f1068]) ).
fof(f1071,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1072,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1074,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f1062,f1065,f1068,f1071]) ).
fof(f1075,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1076,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1079,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1082,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1085,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1088,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1090,plain,
( op2(e23,e22) != e20
| spl0_120 ),
inference(component_clause,[status(thm)],[f1088]) ).
fof(f1094,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1095,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f1094]) ).
fof(f1097,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f1097]) ).
fof(f1101,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1102,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1104,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1105,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f1104]) ).
fof(f1107,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1108,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f1107]) ).
fof(f1110,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1111,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f1110]) ).
fof(f1113,plain,
( spl0_124
| spl0_125
| spl0_126
| spl0_127 ),
inference(split_clause,[status(thm)],[f83,f1101,f1104,f1107,f1110]) ).
fof(f1116,plain,
( spl0_65
| spl0_69
| spl0_73
| spl0_77 ),
inference(split_clause,[status(thm)],[f86,f909,f922,f935,f948]) ).
fof(f1118,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f88,f912,f925,f938,f951]) ).
fof(f1120,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f915,f928,f941,f954]) ).
fof(f1122,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f958,f971,f984,f997]) ).
fof(f1123,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f919,f971,f1023,f1075]) ).
fof(f1124,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f961,f974,f987,f1000]) ).
fof(f1126,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f964,f977,f990,f1003]) ).
fof(f1128,plain,
( spl0_83
| spl0_87
| spl0_91
| spl0_95 ),
inference(split_clause,[status(thm)],[f98,f967,f980,f993,f1006]) ).
fof(f1132,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f102,f1013,f1026,f1039,f1052]) ).
fof(f1134,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f1016,f1029,f1042,f1055]) ).
fof(f1135,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f938,f990,f1042,f1094]) ).
fof(f1142,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f1068,f1081,f1094,f1107]) ).
fof(f1144,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f1071,f1084,f1097,f1110]) ).
fof(f1145,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f954,f1006,f1058,f1110]) ).
fof(f1150,plain,
( ~ spl0_17
| spl0_0
| spl0_20
| spl0_40
| spl0_60 ),
inference(split_clause,[status(thm)],[f246,f721,f666,f731,f796,f861]) ).
fof(f1152,plain,
( ~ spl0_25
| spl0_2
| spl0_22
| spl0_42
| spl0_62 ),
inference(split_clause,[status(thm)],[f248,f747,f672,f737,f802,f867]) ).
fof(f1154,plain,
( ~ spl0_34
| spl0_0
| spl0_20
| spl0_40
| spl0_60 ),
inference(split_clause,[status(thm)],[f250,f776,f666,f731,f796,f861]) ).
fof(f1158,plain,
( ~ spl0_51
| spl0_0
| spl0_20
| spl0_40
| spl0_60 ),
inference(split_clause,[status(thm)],[f254,f831,f666,f731,f796,f861]) ).
fof(f1162,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1165,plain,
( spl0_128
| spl0_63 ),
inference(split_clause,[status(thm)],[f258,f1162,f870]) ).
fof(f1171,plain,
( spl0_130
<=> op1(e13,op1(e13,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1173,plain,
( op1(e13,op1(e13,e11)) != e11
| spl0_130 ),
inference(component_clause,[status(thm)],[f1171]) ).
fof(f1175,plain,
( spl0_131
<=> op1(e13,op1(e13,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1176,plain,
( op1(e13,op1(e13,e12)) = e12
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1177,plain,
( op1(e13,op1(e13,e12)) != e12
| spl0_131 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1179,plain,
( spl0_132
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( op1(e13,op1(e13,e13)) = e13
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1181,plain,
( op1(e13,op1(e13,e13)) != e13
| spl0_132 ),
inference(component_clause,[status(thm)],[f1179]) ).
fof(f1187,plain,
( ~ spl0_81
| spl0_64
| spl0_84
| spl0_104
| spl0_124 ),
inference(split_clause,[status(thm)],[f270,f961,f906,f971,f1036,f1101]) ).
fof(f1189,plain,
( ~ spl0_89
| spl0_66
| spl0_86
| spl0_106
| spl0_126 ),
inference(split_clause,[status(thm)],[f272,f987,f912,f977,f1042,f1107]) ).
fof(f1191,plain,
( ~ spl0_98
| spl0_64
| spl0_84
| spl0_104
| spl0_124 ),
inference(split_clause,[status(thm)],[f274,f1016,f906,f971,f1036,f1101]) ).
fof(f1195,plain,
( ~ spl0_115
| spl0_64
| spl0_84
| spl0_104
| spl0_124 ),
inference(split_clause,[status(thm)],[f278,f1071,f906,f971,f1036,f1101]) ).
fof(f1199,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1202,plain,
( spl0_133
| spl0_127 ),
inference(split_clause,[status(thm)],[f282,f1199,f1110]) ).
fof(f1204,plain,
( spl0_134
<=> op2(e23,op2(e23,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1206,plain,
( op2(e23,op2(e23,e20)) != e20
| spl0_134 ),
inference(component_clause,[status(thm)],[f1204]) ).
fof(f1208,plain,
( spl0_135
<=> op2(e23,op2(e23,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( op2(e23,op2(e23,e21)) != e21
| spl0_135 ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1216,plain,
( spl0_137
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1217,plain,
( op2(e23,op2(e23,e23)) = e23
| ~ spl0_137 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1218,plain,
( op2(e23,op2(e23,e23)) != e23
| spl0_137 ),
inference(component_clause,[status(thm)],[f1216]) ).
fof(f1220,plain,
( spl0_138
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1222,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl0_138 ),
inference(component_clause,[status(thm)],[f1220]) ).
fof(f1226,plain,
( spl0_140
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1228,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl0_140 ),
inference(component_clause,[status(thm)],[f1226]) ).
fof(f1232,plain,
( spl0_142
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1234,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl0_142 ),
inference(component_clause,[status(thm)],[f1232]) ).
fof(f1235,plain,
( spl0_143
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1237,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl0_143 ),
inference(component_clause,[status(thm)],[f1235]) ).
fof(f1238,plain,
( spl0_144
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1240,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl0_144 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,plain,
( spl0_145
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1243,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl0_145 ),
inference(component_clause,[status(thm)],[f1241]) ).
fof(f1244,plain,
( spl0_146
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1246,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl0_146 ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1250,plain,
( spl0_148
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1252,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_148 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1256,plain,
( spl0_150
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1258,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl0_150 ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( spl0_151
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1261,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl0_151 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1262,plain,
( spl0_152
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1263,plain,
( h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
| ~ spl0_152 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1264,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl0_152 ),
inference(component_clause,[status(thm)],[f1262]) ).
fof(f1265,plain,
( spl0_153
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1266,plain,
( h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
| ~ spl0_153 ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1267,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_153 ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,plain,
( spl0_154
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1271,plain,
( spl0_155
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1274,plain,
( spl0_156
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f1281,plain,
( spl0_158
<=> h1(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1283,plain,
( h1(e11) != e23
| spl0_158 ),
inference(component_clause,[status(thm)],[f1281]) ).
fof(f1289,plain,
( spl0_160
<=> h1(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1290,plain,
( h1(e13) = e23
| ~ spl0_160 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1291,plain,
( h1(e13) != e23
| spl0_160 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1305,plain,
( spl0_165
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1307,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1308,plain,
( spl0_166
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1310,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1308]) ).
fof(f1311,plain,
( spl0_167
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1313,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1311]) ).
fof(f1320,plain,
( spl0_170
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1322,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,plain,
( spl0_171
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1325,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1329,plain,
( spl0_173
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1331,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_173 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1335,plain,
( spl0_175
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1336,plain,
( h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
| ~ spl0_175 ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1337,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_175 ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,plain,
( spl0_176
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1340,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_176 ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1344,plain,
( spl0_178
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1347,plain,
( spl0_179
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1362,plain,
( spl0_183
<=> h2(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1363,plain,
( h2(e13) = e23
| ~ spl0_183 ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1364,plain,
( h2(e13) != e23
| spl0_183 ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1366,plain,
( spl0_184
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1368,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_184 ),
inference(component_clause,[status(thm)],[f1366]) ).
fof(f1369,plain,
( spl0_185
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1371,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1369]) ).
fof(f1372,plain,
( spl0_186
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1374,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1372]) ).
fof(f1375,plain,
( spl0_187
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1377,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1375]) ).
fof(f1378,plain,
( spl0_188
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1380,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1381,plain,
( spl0_189
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1383,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1381]) ).
fof(f1384,plain,
( spl0_190
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1385,plain,
( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1386,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1384]) ).
fof(f1387,plain,
( spl0_191
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1389,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1387]) ).
fof(f1390,plain,
( spl0_192
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1392,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( spl0_193
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1395,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,plain,
( spl0_194
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1398,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( spl0_195
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1401,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_195 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,plain,
( spl0_196
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1404,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_196 ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,plain,
( spl0_197
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1407,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_197 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,plain,
( spl0_198
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1410,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,plain,
( spl0_199
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1413,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( spl0_200
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1417,plain,
( spl0_201
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1420,plain,
( spl0_202
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1435,plain,
( spl0_206
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1437,plain,
( h3(e13) != e23
| spl0_206 ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1438,plain,
( ~ spl0_184
| ~ spl0_185
| ~ spl0_186
| ~ spl0_187
| ~ spl0_188
| ~ spl0_189
| ~ spl0_190
| ~ spl0_191
| ~ spl0_192
| ~ spl0_193
| ~ spl0_194
| ~ spl0_195
| ~ spl0_196
| ~ spl0_197
| ~ spl0_198
| ~ spl0_199
| spl0_200
| spl0_201
| spl0_202
| ~ spl0_206 ),
inference(split_clause,[status(thm)],[f335,f1366,f1369,f1372,f1375,f1378,f1381,f1384,f1387,f1390,f1393,f1396,f1399,f1402,f1405,f1408,f1411,f1414,f1417,f1420,f1435]) ).
fof(f1439,plain,
( spl0_207
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1441,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_207 ),
inference(component_clause,[status(thm)],[f1439]) ).
fof(f1445,plain,
( spl0_209
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1447,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1451,plain,
( spl0_211
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1453,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1451]) ).
fof(f1454,plain,
( spl0_212
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1456,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1454]) ).
fof(f1457,plain,
( spl0_213
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1458,plain,
( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
| ~ spl0_213 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1459,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl0_213 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,plain,
( spl0_214
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1462,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1460]) ).
fof(f1463,plain,
( spl0_215
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1469,plain,
( spl0_217
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1470,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl0_217 ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1471,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_217 ),
inference(component_clause,[status(thm)],[f1469]) ).
fof(f1475,plain,
( spl0_219
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1477,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,plain,
( spl0_220
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1480,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1481,plain,
( spl0_221
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1483,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_221 ),
inference(component_clause,[status(thm)],[f1481]) ).
fof(f1484,plain,
( spl0_222
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1486,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_222 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1490,plain,
( spl0_224
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1493,plain,
( spl0_225
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1496,plain,
( spl0_226
<=> h4(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1497,plain,
( h4(e10) = e23
| ~ spl0_226 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1498,plain,
( h4(e10) != e23
| spl0_226 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1504,plain,
( spl0_228
<=> h4(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1506,plain,
( h4(e12) != e23
| spl0_228 ),
inference(component_clause,[status(thm)],[f1504]) ).
fof(f1512,plain,
( spl0_230
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1515,plain,
( ~ spl0_128
| spl0_230
| spl0_59 ),
inference(split_clause,[status(thm)],[f343,f1162,f1512,f857]) ).
fof(f1521,plain,
( spl0_231
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1525,plain,
( ~ spl0_133
| spl0_231
| spl0_111 ),
inference(split_clause,[status(thm)],[f353,f1199,f1521,f1058]) ).
fof(f1530,plain,
( spl0_232
<=> h1(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1531,plain,
( h1(e10) = e20
| ~ spl0_232 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1532,plain,
( h1(e10) != e20
| spl0_232 ),
inference(component_clause,[status(thm)],[f1530]) ).
fof(f1538,plain,
( spl0_234
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1540,plain,
( h1(e12) != e20
| spl0_234 ),
inference(component_clause,[status(thm)],[f1538]) ).
fof(f1541,plain,
( ~ spl0_154
| ~ spl0_234 ),
inference(split_clause,[status(thm)],[f361,f1268,f1538]) ).
fof(f1550,plain,
( spl0_237
<=> h1(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1552,plain,
( h1(e11) != e21
| spl0_237 ),
inference(component_clause,[status(thm)],[f1550]) ).
fof(f1553,plain,
( ~ spl0_155
| ~ spl0_237 ),
inference(split_clause,[status(thm)],[f365,f1271,f1550]) ).
fof(f1558,plain,
( spl0_239
<=> h1(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1559,plain,
( h1(e13) = e21
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
( h1(e13) != e21
| spl0_239 ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1562,plain,
( spl0_240
<=> h1(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1564,plain,
( h1(e10) != e22
| spl0_240 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1565,plain,
( ~ spl0_156
| ~ spl0_240 ),
inference(split_clause,[status(thm)],[f369,f1274,f1562]) ).
fof(f1574,plain,
( spl0_243
<=> h1(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1576,plain,
( h1(e13) != e22
| spl0_243 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1577,plain,
( ~ spl0_156
| ~ spl0_243 ),
inference(split_clause,[status(thm)],[f372,f1274,f1574]) ).
fof(f1590,plain,
( spl0_247
<=> h2(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1591,plain,
( h2(e13) = e20
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1592,plain,
( h2(e13) != e20
| spl0_247 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1594,plain,
( spl0_248
<=> h2(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1595,plain,
( h2(e10) = e21
| ~ spl0_248 ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1596,plain,
( h2(e10) != e21
| spl0_248 ),
inference(component_clause,[status(thm)],[f1594]) ).
fof(f1602,plain,
( spl0_250
<=> h2(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1604,plain,
( h2(e12) != e21
| spl0_250 ),
inference(component_clause,[status(thm)],[f1602]) ).
fof(f1605,plain,
( ~ spl0_178
| ~ spl0_250 ),
inference(split_clause,[status(thm)],[f381,f1344,f1602]) ).
fof(f1606,plain,
( spl0_251
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1607,plain,
( h2(e13) = e21
| ~ spl0_251 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
( h2(e13) != e21
| spl0_251 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f1622,plain,
( spl0_255
<=> h2(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1623,plain,
( h2(e13) = e22
| ~ spl0_255 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( h2(e13) != e22
| spl0_255 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1625,plain,
( ~ spl0_179
| ~ spl0_255 ),
inference(split_clause,[status(thm)],[f387,f1347,f1622]) ).
fof(f1626,plain,
( spl0_256
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1628,plain,
( h3(e10) != e20
| spl0_256 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1629,plain,
( ~ spl0_200
| ~ spl0_256 ),
inference(split_clause,[status(thm)],[f389,f1414,f1626]) ).
fof(f1646,plain,
( spl0_261
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1648,plain,
( h3(e11) != e21
| spl0_261 ),
inference(component_clause,[status(thm)],[f1646]) ).
fof(f1649,plain,
( ~ spl0_201
| ~ spl0_261 ),
inference(split_clause,[status(thm)],[f395,f1417,f1646]) ).
fof(f1666,plain,
( spl0_266
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1668,plain,
( h3(e12) != e22
| spl0_266 ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,plain,
( ~ spl0_202
| ~ spl0_266 ),
inference(split_clause,[status(thm)],[f401,f1420,f1666]) ).
fof(f1678,plain,
( spl0_269
<=> h4(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1679,plain,
( h4(e11) = e20
| ~ spl0_269 ),
inference(component_clause,[status(thm)],[f1678]) ).
fof(f1680,plain,
( h4(e11) != e20
| spl0_269 ),
inference(component_clause,[status(thm)],[f1678]) ).
fof(f1694,plain,
( spl0_273
<=> h4(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1695,plain,
( h4(e11) = e21
| ~ spl0_273 ),
inference(component_clause,[status(thm)],[f1694]) ).
fof(f1696,plain,
( h4(e11) != e21
| spl0_273 ),
inference(component_clause,[status(thm)],[f1694]) ).
fof(f1702,plain,
( spl0_275
<=> h4(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1704,plain,
( h4(e13) != e21
| spl0_275 ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f1705,plain,
( ~ spl0_224
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f412,f1490,f1702]) ).
fof(f1710,plain,
( spl0_277
<=> h4(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1712,plain,
( h4(e11) != e22
| spl0_277 ),
inference(component_clause,[status(thm)],[f1710]) ).
fof(f1713,plain,
( ~ spl0_225
| ~ spl0_277 ),
inference(split_clause,[status(thm)],[f415,f1493,f1710]) ).
fof(f1722,plain,
( spl0_280
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1725,plain,
( ~ spl0_230
| spl0_280
| spl0_55 ),
inference(split_clause,[status(thm)],[f421,f1512,f1722,f844]) ).
fof(f1726,plain,
( ~ spl0_230
| spl0_280
| spl0_31 ),
inference(split_clause,[status(thm)],[f422,f1512,f1722,f766]) ).
fof(f1729,plain,
( ~ spl0_230
| spl0_280
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f425,f1512,f1722,f1175]) ).
fof(f1730,plain,
( ~ spl0_230
| spl0_280
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f426,f1512,f1722,f1179]) ).
fof(f1731,plain,
( spl0_281
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1734,plain,
( ~ spl0_231
| spl0_281
| spl0_119 ),
inference(split_clause,[status(thm)],[f430,f1521,f1731,f1084]) ).
fof(f1739,plain,
( ~ spl0_231
| spl0_281
| ~ spl0_137 ),
inference(split_clause,[status(thm)],[f435,f1521,f1731,f1216]) ).
fof(f1740,plain,
( spl0_282
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1743,plain,
( ~ spl0_280
| spl0_282
| spl0_51 ),
inference(split_clause,[status(thm)],[f439,f1722,f1740,f831]) ).
fof(f1744,plain,
( ~ spl0_280
| spl0_282
| spl0_15 ),
inference(split_clause,[status(thm)],[f440,f1722,f1740,f714]) ).
fof(f1747,plain,
( ~ spl0_280
| spl0_282
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f443,f1722,f1740,f1175]) ).
fof(f1749,plain,
( spl0_283
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1753,plain,
( ~ spl0_281
| spl0_283
| spl0_79 ),
inference(split_clause,[status(thm)],[f449,f1731,f1749,f954]) ).
fof(f1757,plain,
( ~ spl0_281
| spl0_283
| ~ spl0_137 ),
inference(split_clause,[status(thm)],[f453,f1731,f1749,f1216]) ).
fof(f1758,plain,
( spl0_284
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1762,plain,
( ~ spl0_282
| spl0_284
| spl0_58 ),
inference(split_clause,[status(thm)],[f458,f1740,f1758,f854]) ).
fof(f1763,plain,
( spl0_285
<=> op1(e12,op1(e12,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1765,plain,
( op1(e12,op1(e12,e10)) != e10
| spl0_285 ),
inference(component_clause,[status(thm)],[f1763]) ).
fof(f1767,plain,
( spl0_286
<=> op1(e12,op1(e12,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1768,plain,
( op1(e12,op1(e12,e11)) = e11
| ~ spl0_286 ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1769,plain,
( op1(e12,op1(e12,e11)) != e11
| spl0_286 ),
inference(component_clause,[status(thm)],[f1767]) ).
fof(f1771,plain,
( spl0_287
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1773,plain,
( op1(e12,op1(e12,e12)) != e12
| spl0_287 ),
inference(component_clause,[status(thm)],[f1771]) ).
fof(f1775,plain,
( spl0_288
<=> op1(e12,op1(e12,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1777,plain,
( op1(e12,op1(e12,e13)) != e13
| spl0_288 ),
inference(component_clause,[status(thm)],[f1775]) ).
fof(f1779,plain,
( spl0_289
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1783,plain,
( ~ spl0_283
| spl0_289
| spl0_122 ),
inference(split_clause,[status(thm)],[f467,f1749,f1779,f1094]) ).
fof(f1784,plain,
( spl0_290
<=> op2(e22,op2(e22,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1786,plain,
( op2(e22,op2(e22,e20)) != e20
| spl0_290 ),
inference(component_clause,[status(thm)],[f1784]) ).
fof(f1788,plain,
( spl0_291
<=> op2(e22,op2(e22,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1790,plain,
( op2(e22,op2(e22,e21)) != e21
| spl0_291 ),
inference(component_clause,[status(thm)],[f1788]) ).
fof(f1792,plain,
( spl0_292
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1793,plain,
( op2(e22,op2(e22,e22)) = e22
| ~ spl0_292 ),
inference(component_clause,[status(thm)],[f1792]) ).
fof(f1794,plain,
( op2(e22,op2(e22,e22)) != e22
| spl0_292 ),
inference(component_clause,[status(thm)],[f1792]) ).
fof(f1796,plain,
( spl0_293
<=> op2(e22,op2(e22,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1800,plain,
( spl0_294
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1803,plain,
( ~ spl0_284
| spl0_294
| spl0_42 ),
inference(split_clause,[status(thm)],[f475,f1758,f1800,f802]) ).
fof(f1809,plain,
( spl0_295
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1812,plain,
( ~ spl0_289
| spl0_295
| spl0_106 ),
inference(split_clause,[status(thm)],[f484,f1779,f1809,f1042]) ).
fof(f1818,plain,
( spl0_296
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1821,plain,
( ~ spl0_294
| spl0_296
| spl0_38 ),
inference(split_clause,[status(thm)],[f493,f1800,f1818,f789]) ).
fof(f1822,plain,
( ~ spl0_294
| spl0_296
| spl0_26 ),
inference(split_clause,[status(thm)],[f494,f1800,f1818,f750]) ).
fof(f1823,plain,
( ~ spl0_294
| spl0_296
| ~ spl0_285 ),
inference(split_clause,[status(thm)],[f495,f1800,f1818,f1763]) ).
fof(f1824,plain,
( ~ spl0_294
| spl0_296
| ~ spl0_286 ),
inference(split_clause,[status(thm)],[f496,f1800,f1818,f1767]) ).
fof(f1825,plain,
( ~ spl0_294
| spl0_296
| ~ spl0_287 ),
inference(split_clause,[status(thm)],[f497,f1800,f1818,f1771]) ).
fof(f1826,plain,
( ~ spl0_294
| spl0_296
| ~ spl0_288 ),
inference(split_clause,[status(thm)],[f498,f1800,f1818,f1775]) ).
fof(f1827,plain,
( spl0_297
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1830,plain,
( ~ spl0_295
| spl0_297
| spl0_102 ),
inference(split_clause,[status(thm)],[f502,f1809,f1827,f1029]) ).
fof(f1831,plain,
( ~ spl0_295
| spl0_297
| spl0_90 ),
inference(split_clause,[status(thm)],[f503,f1809,f1827,f990]) ).
fof(f1832,plain,
( ~ spl0_295
| spl0_297
| ~ spl0_290 ),
inference(split_clause,[status(thm)],[f504,f1809,f1827,f1784]) ).
fof(f1833,plain,
( ~ spl0_295
| spl0_297
| ~ spl0_291 ),
inference(split_clause,[status(thm)],[f505,f1809,f1827,f1788]) ).
fof(f1834,plain,
( ~ spl0_295
| spl0_297
| ~ spl0_292 ),
inference(split_clause,[status(thm)],[f506,f1809,f1827,f1792]) ).
fof(f1835,plain,
( ~ spl0_295
| spl0_297
| ~ spl0_293 ),
inference(split_clause,[status(thm)],[f507,f1809,f1827,f1796]) ).
fof(f1836,plain,
( spl0_298
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1839,plain,
( ~ spl0_296
| spl0_298
| spl0_34 ),
inference(split_clause,[status(thm)],[f511,f1818,f1836,f776]) ).
fof(f1841,plain,
( ~ spl0_296
| spl0_298
| ~ spl0_285 ),
inference(split_clause,[status(thm)],[f513,f1818,f1836,f1763]) ).
fof(f1842,plain,
( ~ spl0_296
| spl0_298
| ~ spl0_286 ),
inference(split_clause,[status(thm)],[f514,f1818,f1836,f1767]) ).
fof(f1843,plain,
( ~ spl0_296
| spl0_298
| ~ spl0_287 ),
inference(split_clause,[status(thm)],[f515,f1818,f1836,f1771]) ).
fof(f1845,plain,
( spl0_299
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1848,plain,
( ~ spl0_297
| spl0_299
| spl0_98 ),
inference(split_clause,[status(thm)],[f520,f1827,f1845,f1016]) ).
fof(f1851,plain,
( ~ spl0_297
| spl0_299
| ~ spl0_291 ),
inference(split_clause,[status(thm)],[f523,f1827,f1845,f1788]) ).
fof(f1852,plain,
( ~ spl0_297
| spl0_299
| ~ spl0_292 ),
inference(split_clause,[status(thm)],[f524,f1827,f1845,f1792]) ).
fof(f1854,plain,
( spl0_300
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1857,plain,
( ~ spl0_298
| spl0_300
| spl0_29 ),
inference(split_clause,[status(thm)],[f529,f1836,f1854,f760]) ).
fof(f1859,plain,
( spl0_301
<=> op1(e11,op1(e11,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1861,plain,
( op1(e11,op1(e11,e10)) != e10
| spl0_301 ),
inference(component_clause,[status(thm)],[f1859]) ).
fof(f1863,plain,
( spl0_302
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1864,plain,
( op1(e11,op1(e11,e11)) = e11
| ~ spl0_302 ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1865,plain,
( op1(e11,op1(e11,e11)) != e11
| spl0_302 ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1867,plain,
( spl0_303
<=> op1(e11,op1(e11,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1869,plain,
( op1(e11,op1(e11,e12)) != e12
| spl0_303 ),
inference(component_clause,[status(thm)],[f1867]) ).
fof(f1871,plain,
( spl0_304
<=> op1(e11,op1(e11,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1873,plain,
( op1(e11,op1(e11,e13)) != e13
| spl0_304 ),
inference(component_clause,[status(thm)],[f1871]) ).
fof(f1875,plain,
( spl0_305
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1878,plain,
( ~ spl0_299
| spl0_305
| spl0_93 ),
inference(split_clause,[status(thm)],[f538,f1845,f1875,f1000]) ).
fof(f1880,plain,
( spl0_306
<=> op2(e21,op2(e21,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1882,plain,
( op2(e21,op2(e21,e20)) != e20
| spl0_306 ),
inference(component_clause,[status(thm)],[f1880]) ).
fof(f1884,plain,
( spl0_307
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1886,plain,
( op2(e21,op2(e21,e21)) != e21
| spl0_307 ),
inference(component_clause,[status(thm)],[f1884]) ).
fof(f1892,plain,
( spl0_309
<=> op2(e21,op2(e21,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1894,plain,
( op2(e21,op2(e21,e23)) != e23
| spl0_309 ),
inference(component_clause,[status(thm)],[f1892]) ).
fof(f1896,plain,
( spl0_310
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1899,plain,
( ~ spl0_300
| spl0_310
| spl0_25 ),
inference(split_clause,[status(thm)],[f547,f1854,f1896,f747]) ).
fof(f1900,plain,
( ~ spl0_300
| spl0_310
| spl0_37 ),
inference(split_clause,[status(thm)],[f548,f1854,f1896,f786]) ).
fof(f1902,plain,
( ~ spl0_300
| spl0_310
| ~ spl0_302 ),
inference(split_clause,[status(thm)],[f550,f1854,f1896,f1863]) ).
fof(f1904,plain,
( ~ spl0_300
| spl0_310
| ~ spl0_304 ),
inference(split_clause,[status(thm)],[f552,f1854,f1896,f1871]) ).
fof(f1905,plain,
( spl0_311
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1908,plain,
( ~ spl0_305
| spl0_311
| spl0_89 ),
inference(split_clause,[status(thm)],[f556,f1875,f1905,f987]) ).
fof(f1909,plain,
( ~ spl0_305
| spl0_311
| spl0_101 ),
inference(split_clause,[status(thm)],[f557,f1875,f1905,f1026]) ).
fof(f1910,plain,
( ~ spl0_305
| spl0_311
| ~ spl0_306 ),
inference(split_clause,[status(thm)],[f558,f1875,f1905,f1880]) ).
fof(f1913,plain,
( ~ spl0_305
| spl0_311
| ~ spl0_309 ),
inference(split_clause,[status(thm)],[f561,f1875,f1905,f1892]) ).
fof(f1914,plain,
( spl0_312
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1917,plain,
( ~ spl0_310
| spl0_312
| spl0_21 ),
inference(split_clause,[status(thm)],[f565,f1896,f1914,f734]) ).
fof(f1919,plain,
( ~ spl0_310
| spl0_312
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f567,f1896,f1914,f1859]) ).
fof(f1921,plain,
( ~ spl0_310
| spl0_312
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f569,f1896,f1914,f1867]) ).
fof(f1923,plain,
( spl0_313
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1926,plain,
( ~ spl0_311
| spl0_313
| spl0_85 ),
inference(split_clause,[status(thm)],[f574,f1905,f1923,f974]) ).
fof(f1928,plain,
( ~ spl0_311
| spl0_313
| ~ spl0_306 ),
inference(split_clause,[status(thm)],[f576,f1905,f1923,f1880]) ).
fof(f1929,plain,
( ~ spl0_311
| spl0_313
| ~ spl0_307 ),
inference(split_clause,[status(thm)],[f577,f1905,f1923,f1884]) ).
fof(f1932,plain,
( spl0_314
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1935,plain,
( ~ spl0_312
| spl0_314
| spl0_17 ),
inference(split_clause,[status(thm)],[f583,f1914,f1932,f721]) ).
fof(f1936,plain,
( ~ spl0_312
| spl0_314
| spl0_5 ),
inference(split_clause,[status(thm)],[f584,f1914,f1932,f682]) ).
fof(f1939,plain,
( ~ spl0_312
| spl0_314
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f587,f1914,f1932,f1867]) ).
fof(f1941,plain,
( spl0_315
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1944,plain,
( ~ spl0_313
| spl0_315
| spl0_81 ),
inference(split_clause,[status(thm)],[f592,f1923,f1941,f961]) ).
fof(f1945,plain,
( ~ spl0_313
| spl0_315
| spl0_69 ),
inference(split_clause,[status(thm)],[f593,f1923,f1941,f922]) ).
fof(f1946,plain,
( ~ spl0_313
| spl0_315
| ~ spl0_306 ),
inference(split_clause,[status(thm)],[f594,f1923,f1941,f1880]) ).
fof(f1950,plain,
( spl0_316
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1953,plain,
( ~ spl0_314
| spl0_316
| spl0_12 ),
inference(split_clause,[status(thm)],[f601,f1932,f1950,f705]) ).
fof(f1954,plain,
( ~ spl0_314
| spl0_316
| spl0_48 ),
inference(split_clause,[status(thm)],[f602,f1932,f1950,f822]) ).
fof(f1955,plain,
( spl0_317
<=> op1(e10,op1(e10,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1957,plain,
( op1(e10,op1(e10,e10)) != e10
| spl0_317 ),
inference(component_clause,[status(thm)],[f1955]) ).
fof(f1963,plain,
( spl0_319
<=> op1(e10,op1(e10,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1965,plain,
( op1(e10,op1(e10,e12)) != e12
| spl0_319 ),
inference(component_clause,[status(thm)],[f1963]) ).
fof(f1967,plain,
( spl0_320
<=> op1(e10,op1(e10,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1968,plain,
( op1(e10,op1(e10,e13)) = e13
| ~ spl0_320 ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1969,plain,
( op1(e10,op1(e10,e13)) != e13
| spl0_320 ),
inference(component_clause,[status(thm)],[f1967]) ).
fof(f1971,plain,
( spl0_321
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1974,plain,
( ~ spl0_315
| spl0_321
| spl0_76 ),
inference(split_clause,[status(thm)],[f610,f1941,f1971,f945]) ).
fof(f1975,plain,
( ~ spl0_315
| spl0_321
| spl0_112 ),
inference(split_clause,[status(thm)],[f611,f1941,f1971,f1062]) ).
fof(f1976,plain,
( spl0_322
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1978,plain,
( op2(e20,op2(e20,e20)) != e20
| spl0_322 ),
inference(component_clause,[status(thm)],[f1976]) ).
fof(f1980,plain,
( spl0_323
<=> op2(e20,op2(e20,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1981,plain,
( op2(e20,op2(e20,e21)) = e21
| ~ spl0_323 ),
inference(component_clause,[status(thm)],[f1980]) ).
fof(f1982,plain,
( op2(e20,op2(e20,e21)) != e21
| spl0_323 ),
inference(component_clause,[status(thm)],[f1980]) ).
fof(f1984,plain,
( spl0_324
<=> op2(e20,op2(e20,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1986,plain,
( op2(e20,op2(e20,e22)) != e22
| spl0_324 ),
inference(component_clause,[status(thm)],[f1984]) ).
fof(f1988,plain,
( spl0_325
<=> op2(e20,op2(e20,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1990,plain,
( op2(e20,op2(e20,e23)) != e23
| spl0_325 ),
inference(component_clause,[status(thm)],[f1988]) ).
fof(f1992,plain,
( spl0_326
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1995,plain,
( ~ spl0_316
| spl0_326
| spl0_8 ),
inference(split_clause,[status(thm)],[f619,f1950,f1992,f692]) ).
fof(f1999,plain,
( ~ spl0_316
| spl0_326
| ~ spl0_319 ),
inference(split_clause,[status(thm)],[f623,f1950,f1992,f1963]) ).
fof(f2001,plain,
( spl0_327
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f2004,plain,
( ~ spl0_321
| spl0_327
| spl0_72 ),
inference(split_clause,[status(thm)],[f628,f1971,f2001,f932]) ).
fof(f2010,plain,
( spl0_328
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f2013,plain,
( ~ spl0_326
| spl0_328
| spl0_4 ),
inference(split_clause,[status(thm)],[f637,f1992,f2010,f679]) ).
fof(f2014,plain,
( ~ spl0_326
| spl0_328
| spl0_16 ),
inference(split_clause,[status(thm)],[f638,f1992,f2010,f718]) ).
fof(f2017,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_319 ),
inference(split_clause,[status(thm)],[f641,f1992,f2010,f1963]) ).
fof(f2019,plain,
( spl0_329
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f2022,plain,
( ~ spl0_327
| spl0_329
| spl0_68 ),
inference(split_clause,[status(thm)],[f646,f2001,f2019,f919]) ).
fof(f2023,plain,
( ~ spl0_327
| spl0_329
| spl0_80 ),
inference(split_clause,[status(thm)],[f647,f2001,f2019,f958]) ).
fof(f2024,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_322 ),
inference(split_clause,[status(thm)],[f648,f2001,f2019,f1976]) ).
fof(f2026,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_324 ),
inference(split_clause,[status(thm)],[f650,f2001,f2019,f1984]) ).
fof(f2027,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_325 ),
inference(split_clause,[status(thm)],[f651,f2001,f2019,f1988]) ).
fof(f2028,plain,
( ~ spl0_328
| spl0_0 ),
inference(split_clause,[status(thm)],[f653,f2010,f666]) ).
fof(f2030,plain,
( ~ spl0_328
| ~ spl0_317 ),
inference(split_clause,[status(thm)],[f655,f2010,f1955]) ).
fof(f2032,plain,
( ~ spl0_328
| ~ spl0_319 ),
inference(split_clause,[status(thm)],[f657,f2010,f1963]) ).
fof(f2033,plain,
( ~ spl0_328
| ~ spl0_320 ),
inference(split_clause,[status(thm)],[f658,f2010,f1967]) ).
fof(f2034,plain,
( ~ spl0_329
| spl0_64 ),
inference(split_clause,[status(thm)],[f660,f2019,f906]) ).
fof(f2036,plain,
( ~ spl0_329
| ~ spl0_322 ),
inference(split_clause,[status(thm)],[f662,f2019,f1976]) ).
fof(f2038,plain,
( ~ spl0_329
| ~ spl0_324 ),
inference(split_clause,[status(thm)],[f664,f2019,f1984]) ).
fof(f2039,plain,
( ~ spl0_329
| ~ spl0_325 ),
inference(split_clause,[status(thm)],[f665,f2019,f1988]) ).
fof(f2040,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f291,f303]) ).
fof(f2041,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f292,f304]) ).
fof(f2042,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f293,f305]) ).
fof(f2047,plain,
( e22 != e22
| spl0_266 ),
inference(forward_demodulation,[status(thm)],[f302,f1668]) ).
fof(f2048,plain,
( $false
| spl0_266 ),
inference(trivial_equality_resolution,[status(esa)],[f2047]) ).
fof(f2049,plain,
spl0_266,
inference(contradiction_clause,[status(thm)],[f2048]) ).
fof(f2054,plain,
( e21 != e21
| spl0_261 ),
inference(forward_demodulation,[status(thm)],[f2041,f1648]) ).
fof(f2055,plain,
( $false
| spl0_261 ),
inference(trivial_equality_resolution,[status(esa)],[f2054]) ).
fof(f2056,plain,
spl0_261,
inference(contradiction_clause,[status(thm)],[f2055]) ).
fof(f2061,plain,
( e20 != e20
| spl0_256 ),
inference(forward_demodulation,[status(thm)],[f2040,f1628]) ).
fof(f2062,plain,
( $false
| spl0_256 ),
inference(trivial_equality_resolution,[status(esa)],[f2061]) ).
fof(f2063,plain,
spl0_256,
inference(contradiction_clause,[status(thm)],[f2062]) ).
fof(f2065,plain,
( e21 != e21
| spl0_250 ),
inference(forward_demodulation,[status(thm)],[f298,f1604]) ).
fof(f2066,plain,
( $false
| spl0_250 ),
inference(trivial_equality_resolution,[status(esa)],[f2065]) ).
fof(f2067,plain,
spl0_250,
inference(contradiction_clause,[status(thm)],[f2066]) ).
fof(f2071,plain,
( e20 != e20
| spl0_234 ),
inference(forward_demodulation,[status(thm)],[f294,f1540]) ).
fof(f2072,plain,
( $false
| spl0_234 ),
inference(trivial_equality_resolution,[status(esa)],[f2071]) ).
fof(f2073,plain,
spl0_234,
inference(contradiction_clause,[status(thm)],[f2072]) ).
fof(f2074,plain,
( e23 != e23
| spl0_228 ),
inference(forward_demodulation,[status(thm)],[f306,f1506]) ).
fof(f2075,plain,
( $false
| spl0_228 ),
inference(trivial_equality_resolution,[status(esa)],[f2074]) ).
fof(f2076,plain,
spl0_228,
inference(contradiction_clause,[status(thm)],[f2075]) ).
fof(f2077,plain,
( e23 != e23
| spl0_206 ),
inference(forward_demodulation,[status(thm)],[f2042,f1437]) ).
fof(f2078,plain,
( $false
| spl0_206 ),
inference(trivial_equality_resolution,[status(esa)],[f2077]) ).
fof(f2079,plain,
spl0_206,
inference(contradiction_clause,[status(thm)],[f2078]) ).
fof(f2085,plain,
( op2(e20,h1(e13)) != e20
| spl0_322 ),
inference(forward_demodulation,[status(thm)],[f297,f1978]) ).
fof(f2086,plain,
( op2(e23,h4(e13)) != e23
| spl0_137 ),
inference(forward_demodulation,[status(thm)],[f309,f1218]) ).
fof(f2087,plain,
( op2(e21,h2(e13)) != e21
| spl0_307 ),
inference(forward_demodulation,[status(thm)],[f301,f1886]) ).
fof(f2088,plain,
( op2(e22,e23) != e22
| spl0_292 ),
inference(forward_demodulation,[status(thm)],[f293,f1794]) ).
fof(f2089,plain,
( op1(e12,e13) != e12
| spl0_287 ),
inference(forward_demodulation,[status(thm)],[f290,f1773]) ).
fof(f2090,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e23)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f306,f1483]) ).
fof(f2092,plain,
( h4(e13) != op2(h4(e12),h4(e12))
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f290,f1471]) ).
fof(f2093,plain,
( h4(e13) != op2(e23,h4(e12))
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f306,f2092]) ).
fof(f2094,plain,
( h4(e13) != op2(e23,e23)
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f306,f2093]) ).
fof(f2095,plain,
( h4(e13) != h4(e13)
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f309,f2094]) ).
fof(f2096,plain,
( $false
| spl0_217 ),
inference(trivial_equality_resolution,[status(esa)],[f2095]) ).
fof(f2097,plain,
spl0_217,
inference(contradiction_clause,[status(thm)],[f2096]) ).
fof(f2099,plain,
( h4(op1(e12,e10)) != op2(e23,h4(e10))
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f306,f1465]) ).
fof(f2100,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f306,f1459]) ).
fof(f2101,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e23)
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f306,f1447]) ).
fof(f2102,plain,
( h3(op1(e13,e13)) != op2(e23,h3(e13))
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f2042,f1413]) ).
fof(f2103,plain,
( h3(op1(e13,e13)) != op2(e23,e23)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f2042,f2102]) ).
fof(f2104,plain,
( h3(op1(e13,e13)) != h4(e13)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f309,f2103]) ).
fof(f2105,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2042,f1410]) ).
fof(f2106,plain,
( h3(op1(e13,e12)) != op2(e23,e22)
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f302,f2105]) ).
fof(f2107,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f2042,f1407]) ).
fof(f2108,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f2041,f2107]) ).
fof(f2109,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f2042,f1404]) ).
fof(f2110,plain,
( h3(op1(e13,e10)) != op2(e23,e20)
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f2040,f2109]) ).
fof(f2111,plain,
( h3(op1(e12,e13)) != op2(e22,h3(e13))
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f302,f1401]) ).
fof(f2112,plain,
( h3(op1(e12,e13)) != op2(e22,e23)
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f2042,f2111]) ).
fof(f2113,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f290,f1398]) ).
fof(f2114,plain,
( e23 != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f2042,f2113]) ).
fof(f2115,plain,
( e23 != op2(e22,h3(e12))
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f302,f2114]) ).
fof(f2116,plain,
( e23 != op2(e22,e22)
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f302,f2115]) ).
fof(f2117,plain,
( e23 != e23
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f293,f2116]) ).
fof(f2118,plain,
( $false
| spl0_194 ),
inference(trivial_equality_resolution,[status(esa)],[f2117]) ).
fof(f2119,plain,
spl0_194,
inference(contradiction_clause,[status(thm)],[f2118]) ).
fof(f2120,plain,
( h3(op1(e12,e11)) != op2(e22,h3(e11))
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f302,f1395]) ).
fof(f2121,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f2041,f2120]) ).
fof(f2122,plain,
( h3(op1(e12,e10)) != op2(e22,h3(e10))
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f302,f1392]) ).
fof(f2123,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f2040,f2122]) ).
fof(f2124,plain,
( h3(op1(e11,e13)) != op2(e21,h3(e13))
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f2041,f1389]) ).
fof(f2125,plain,
( h3(op1(e11,e13)) != op2(e21,e23)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f2042,f2124]) ).
fof(f2126,plain,
( h3(op1(e11,e12)) != op2(e21,h3(e12))
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f2041,f1386]) ).
fof(f2127,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f302,f2126]) ).
fof(f2128,plain,
( h3(op1(e11,e11)) != op2(e21,h3(e11))
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f2041,f1383]) ).
fof(f2129,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f2041,f2128]) ).
fof(f2130,plain,
( h3(op1(e11,e11)) != h2(e13)
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f301,f2129]) ).
fof(f2131,plain,
( h3(op1(e11,e10)) != op2(e21,h3(e10))
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f2041,f1380]) ).
fof(f2132,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f2040,f2131]) ).
fof(f2133,plain,
( h3(op1(e10,e13)) != op2(e20,h3(e13))
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f2040,f1377]) ).
fof(f2134,plain,
( h3(op1(e10,e13)) != op2(e20,e23)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f2042,f2133]) ).
fof(f2135,plain,
( h3(op1(e10,e12)) != op2(e20,h3(e12))
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f2040,f1374]) ).
fof(f2136,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f302,f2135]) ).
fof(f2137,plain,
( h3(op1(e10,e11)) != op2(e20,h3(e11))
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2040,f1371]) ).
fof(f2138,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f2041,f2137]) ).
fof(f2139,plain,
( h3(op1(e10,e10)) != op2(e20,h3(e10))
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2040,f1368]) ).
fof(f2140,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f2040,f2139]) ).
fof(f2141,plain,
( h3(op1(e10,e10)) != h1(e13)
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f297,f2140]) ).
fof(f2142,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e21)
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f298,f1337]) ).
fof(f2144,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f290,f1325]) ).
fof(f2145,plain,
( h2(e13) != op2(e21,h2(e12))
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f298,f2144]) ).
fof(f2146,plain,
( h2(e13) != op2(e21,e21)
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f298,f2145]) ).
fof(f2147,plain,
( h2(e13) != h2(e13)
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f301,f2146]) ).
fof(f2148,plain,
( $false
| spl0_171 ),
inference(trivial_equality_resolution,[status(esa)],[f2147]) ).
fof(f2149,plain,
spl0_171,
inference(contradiction_clause,[status(thm)],[f2148]) ).
fof(f2150,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f298,f1322]) ).
fof(f2152,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f298,f1313]) ).
fof(f2154,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e20)
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f294,f1264]) ).
fof(f2156,plain,
( h1(e13) != op2(h1(e12),h1(e12))
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f290,f1252]) ).
fof(f2157,plain,
( h1(e13) != op2(e20,h1(e12))
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f294,f2156]) ).
fof(f2158,plain,
( h1(e13) != op2(e20,e20)
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f294,f2157]) ).
fof(f2159,plain,
( h1(e13) != h1(e13)
| spl0_148 ),
inference(forward_demodulation,[status(thm)],[f297,f2158]) ).
fof(f2160,plain,
( $false
| spl0_148 ),
inference(trivial_equality_resolution,[status(esa)],[f2159]) ).
fof(f2161,plain,
spl0_148,
inference(contradiction_clause,[status(thm)],[f2160]) ).
fof(f2163,plain,
( h1(op1(e12,e10)) != op2(e20,h1(e10))
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f294,f1246]) ).
fof(f2164,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f294,f1240]) ).
fof(f2165,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f294,f1228]) ).
fof(f2166,plain,
( h1(e13) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f297,f907]) ).
fof(f2169,plain,
( h2(e13) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f301,f975]) ).
fof(f2170,plain,
( $false
| spl0_251
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f2169,f1608]) ).
fof(f2171,plain,
( spl0_251
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f2170]) ).
fof(f2172,plain,
( e23 = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f293,f1043]) ).
fof(f2173,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f2172,f223]) ).
fof(f2174,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f2173]) ).
fof(f2175,plain,
( e13 = e12
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f290,f803]) ).
fof(f2176,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f2175,f217]) ).
fof(f2177,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f2176]) ).
fof(f2178,plain,
( h4(e13) = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f309,f1111]) ).
fof(f2181,plain,
( h4(e13) = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f309,f1108]) ).
fof(f2184,plain,
( h2(e13) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f301,f978]) ).
fof(f2185,plain,
( $false
| spl0_255
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2184,f1624]) ).
fof(f2186,plain,
( spl0_255
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f2185]) ).
fof(f2187,plain,
( h1(e13) = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f297,f913]) ).
fof(f2188,plain,
( $false
| spl0_243
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2187,f1576]) ).
fof(f2189,plain,
( spl0_243
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2188]) ).
fof(f2190,plain,
( h4(e13) = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f309,f1105]) ).
fof(f2191,plain,
( $false
| spl0_275
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f2190,f1704]) ).
fof(f2192,plain,
( spl0_275
| ~ spl0_125 ),
inference(contradiction_clause,[status(thm)],[f2191]) ).
fof(f2193,plain,
( e23 = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f293,f1040]) ).
fof(f2194,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f2193,f222]) ).
fof(f2195,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f2194]) ).
fof(f2196,plain,
( h1(e13) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f297,f910]) ).
fof(f2197,plain,
( $false
| spl0_239
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2196,f1560]) ).
fof(f2198,plain,
( spl0_239
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2197]) ).
fof(f2199,plain,
( h4(e13) = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f309,f1102]) ).
fof(f2202,plain,
( e23 = e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f293,f1037]) ).
fof(f2203,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f2202,f220]) ).
fof(f2204,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f2203]) ).
fof(f2205,plain,
( h2(e13) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f301,f972]) ).
fof(f2206,plain,
( $false
| spl0_247
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f2205,f1592]) ).
fof(f2207,plain,
( spl0_247
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f2206]) ).
fof(f2208,plain,
( h2(e13) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f301,f981]) ).
fof(f2209,plain,
( $false
| spl0_183
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f2208,f1364]) ).
fof(f2210,plain,
( spl0_183
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f2209]) ).
fof(f2211,plain,
( h1(e13) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f297,f916]) ).
fof(f2212,plain,
( $false
| spl0_160
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2211,f1291]) ).
fof(f2213,plain,
( spl0_160
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2212]) ).
fof(f2217,plain,
( e11 = e12
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[status(thm)],[f735,f738]) ).
fof(f2218,plain,
( $false
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f2217,f215]) ).
fof(f2219,plain,
( ~ spl0_21
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f2218]) ).
fof(f2220,plain,
( e10 = e12
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f667,f673]) ).
fof(f2221,plain,
( $false
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f2220,f213]) ).
fof(f2222,plain,
( ~ spl0_0
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f2221]) ).
fof(f2223,plain,
( e13 = e11
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f290,f800]) ).
fof(f2224,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f2223,f216]) ).
fof(f2225,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f2224]) ).
fof(f2229,plain,
( e13 = e10
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f290,f797]) ).
fof(f2230,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f2229,f214]) ).
fof(f2231,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f2230]) ).
fof(f2232,plain,
( e10 = e13
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f732,f741]) ).
fof(f2233,plain,
( $false
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2232,f214]) ).
fof(f2234,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f2233]) ).
fof(f2235,plain,
( e11 = e13
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f670,f676]) ).
fof(f2236,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f2235,f216]) ).
fof(f2237,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f2236]) ).
fof(f2238,plain,
( e23 = e22
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f1007,f1004]) ).
fof(f2239,plain,
( $false
| ~ spl0_95
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f2238,f223]) ).
fof(f2240,plain,
( ~ spl0_95
| ~ spl0_94 ),
inference(contradiction_clause,[status(thm)],[f2239]) ).
fof(f2241,plain,
( e23 = e22
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f955,f952]) ).
fof(f2242,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2241,f223]) ).
fof(f2243,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2242]) ).
fof(f2244,plain,
( e21 = e22
| ~ spl0_117
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f1079,f1082]) ).
fof(f2245,plain,
( $false
| ~ spl0_117
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f2244,f221]) ).
fof(f2246,plain,
( ~ spl0_117
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f2245]) ).
fof(f2259,plain,
( e22 = e23
| ~ spl0_74
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f939,f942]) ).
fof(f2260,plain,
( $false
| ~ spl0_74
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f2259,f223]) ).
fof(f2261,plain,
( ~ spl0_74
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2260]) ).
fof(f2265,plain,
( e20 = e23
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f1011,f1020]) ).
fof(f2266,plain,
( $false
| ~ spl0_96
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2265,f220]) ).
fof(f2267,plain,
( ~ spl0_96
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2266]) ).
fof(f2271,plain,
( e21 = e23
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_demodulation,[status(thm)],[f923,f929]) ).
fof(f2272,plain,
( $false
| ~ spl0_69
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f2271,f222]) ).
fof(f2273,plain,
( ~ spl0_69
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2274,plain,
( e20 = e23
| ~ spl0_80
| ~ spl0_83 ),
inference(forward_demodulation,[status(thm)],[f959,f968]) ).
fof(f2275,plain,
( $false
| ~ spl0_80
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f2274,f220]) ).
fof(f2276,plain,
( ~ spl0_80
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f2275]) ).
fof(f2280,plain,
( e13 = e12
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f715,f712]) ).
fof(f2281,plain,
( $false
| ~ spl0_15
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2280,f217]) ).
fof(f2282,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f2281]) ).
fof(f2301,plain,
( e11 = e13
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f787,f793]) ).
fof(f2302,plain,
( $false
| ~ spl0_37
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f2301,f216]) ).
fof(f2303,plain,
( ~ spl0_37
| ~ spl0_39 ),
inference(contradiction_clause,[status(thm)],[f2302]) ).
fof(f2316,plain,
( e20 = e23
| ~ spl0_120
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1089,f1098]) ).
fof(f2317,plain,
( $false
| ~ spl0_120
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f2316,f220]) ).
fof(f2318,plain,
( ~ spl0_120
| ~ spl0_123 ),
inference(contradiction_clause,[status(thm)],[f2317]) ).
fof(f2322,plain,
( e22 = e20
| ~ spl0_70
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f926,f920]) ).
fof(f2323,plain,
( $false
| ~ spl0_70
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f2322,f219]) ).
fof(f2324,plain,
( ~ spl0_70
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2323]) ).
fof(f2325,plain,
( e12 = e10
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f686,f680]) ).
fof(f2326,plain,
( $false
| ~ spl0_6
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f2325,f213]) ).
fof(f2327,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f2326]) ).
fof(f2331,plain,
( e11 = e10
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f696,f693]) ).
fof(f2332,plain,
( $false
| ~ spl0_9
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2331,f212]) ).
fof(f2333,plain,
( ~ spl0_9
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2332]) ).
fof(f2340,plain,
( e22 = e21
| ~ spl0_82
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f965,f962]) ).
fof(f2341,plain,
( $false
| ~ spl0_82
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f2340,f221]) ).
fof(f2342,plain,
( ~ spl0_82
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f2341]) ).
fof(f2346,plain,
( e22 = e21
| ~ spl0_90
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f991,f988]) ).
fof(f2347,plain,
( $false
| ~ spl0_90
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f2346,f221]) ).
fof(f2348,plain,
( ~ spl0_90
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f2347]) ).
fof(f2349,plain,
( e12 = e11
| ~ spl0_26
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f751,f748]) ).
fof(f2350,plain,
( $false
| ~ spl0_26
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f2349,f215]) ).
fof(f2351,plain,
( ~ spl0_26
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f2350]) ).
fof(f2358,plain,
( e11 = e12
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_demodulation,[status(thm)],[f774,f777]) ).
fof(f2359,plain,
( $false
| ~ spl0_33
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f2358,f215]) ).
fof(f2360,plain,
( ~ spl0_33
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f2359]) ).
fof(f2361,plain,
( e20 = e22
| ~ spl0_100
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f1024,f1030]) ).
fof(f2362,plain,
( $false
| ~ spl0_100
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f2361,f219]) ).
fof(f2363,plain,
( ~ spl0_100
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2362]) ).
fof(f2364,plain,
( e10 = e12
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f784,f790]) ).
fof(f2365,plain,
( $false
| ~ spl0_36
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2364,f213]) ).
fof(f2366,plain,
( ~ spl0_36
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2365]) ).
fof(f2367,plain,
( e10 = e12
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f810,f816]) ).
fof(f2368,plain,
( $false
| ~ spl0_44
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2367,f213]) ).
fof(f2369,plain,
( ~ spl0_44
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f2368]) ).
fof(f2373,plain,
e11 = op1(op1(e12,e12),e13),
inference(backward_demodulation,[status(thm)],[f290,f289]) ).
fof(f2374,plain,
e11 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f290,f2373]) ).
fof(f2375,plain,
e10 = op1(e13,e12),
inference(backward_demodulation,[status(thm)],[f290,f288]) ).
fof(f2376,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f290,f157]) ).
fof(f2381,plain,
op1(e11,e12) != e13,
inference(backward_demodulation,[status(thm)],[f290,f131]) ).
fof(f2383,plain,
op1(e10,e12) != e13,
inference(backward_demodulation,[status(thm)],[f290,f129]) ).
fof(f2384,plain,
e21 = op2(op2(e22,e22),e23),
inference(backward_demodulation,[status(thm)],[f293,f292]) ).
fof(f2385,plain,
e21 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f293,f2384]) ).
fof(f2386,plain,
e21 = h4(e13),
inference(forward_demodulation,[status(thm)],[f309,f2385]) ).
fof(f2387,plain,
e20 = op2(e23,e22),
inference(backward_demodulation,[status(thm)],[f293,f291]) ).
fof(f2388,plain,
e23 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f293,f205]) ).
fof(f2390,plain,
op2(e22,e21) != e23,
inference(backward_demodulation,[status(thm)],[f293,f203]) ).
fof(f2395,plain,
op2(e21,e22) != e23,
inference(backward_demodulation,[status(thm)],[f293,f179]) ).
fof(f2398,plain,
h1(e11) = op2(op2(e20,e20),h1(e13)),
inference(backward_demodulation,[status(thm)],[f297,f296]) ).
fof(f2399,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[status(thm)],[f297,f2398]) ).
fof(f2400,plain,
h1(e10) = op2(h1(e13),e20),
inference(backward_demodulation,[status(thm)],[f297,f295]) ).
fof(f2401,plain,
h1(e13) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f297,f190]) ).
fof(f2403,plain,
h1(e13) != op2(e20,e21),
inference(backward_demodulation,[status(thm)],[f297,f188]) ).
fof(f2404,plain,
h1(e13) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f297,f166]) ).
fof(f2406,plain,
h1(e13) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f297,f165]) ).
fof(f2407,plain,
h1(e13) != op2(e21,e20),
inference(backward_demodulation,[status(thm)],[f297,f164]) ).
fof(f2408,plain,
h2(e11) = op2(op2(e21,e21),h2(e13)),
inference(backward_demodulation,[status(thm)],[f301,f300]) ).
fof(f2409,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(forward_demodulation,[status(thm)],[f301,f2408]) ).
fof(f2410,plain,
h2(e10) = op2(h2(e13),e21),
inference(backward_demodulation,[status(thm)],[f301,f299]) ).
fof(f2411,plain,
h2(e13) != op2(e21,e23),
inference(backward_demodulation,[status(thm)],[f301,f198]) ).
fof(f2416,plain,
h2(e13) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f301,f173]) ).
fof(f2417,plain,
op2(e20,e21) != h2(e13),
inference(backward_demodulation,[status(thm)],[f301,f170]) ).
fof(f2418,plain,
h4(e11) = op2(op2(e23,e23),h4(e13)),
inference(backward_demodulation,[status(thm)],[f309,f308]) ).
fof(f2419,plain,
h4(e11) = op2(h4(e13),h4(e13)),
inference(forward_demodulation,[status(thm)],[f309,f2418]) ).
fof(f2420,plain,
h4(e11) = op2(e21,h4(e13)),
inference(forward_demodulation,[status(thm)],[f2386,f2419]) ).
fof(f2421,plain,
h4(e11) = op2(e21,e21),
inference(forward_demodulation,[status(thm)],[f2386,f2420]) ).
fof(f2422,plain,
h4(e11) = h2(e13),
inference(forward_demodulation,[status(thm)],[f301,f2421]) ).
fof(f2423,plain,
h4(e10) = op2(h4(e13),e23),
inference(backward_demodulation,[status(thm)],[f309,f307]) ).
fof(f2424,plain,
h4(e10) = op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f2386,f2423]) ).
fof(f2430,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f208]) ).
fof(f2431,plain,
( e21 != h4(e13)
| ~ spl0_113 ),
inference(forward_demodulation,[status(thm)],[f1066,f2430]) ).
fof(f2432,plain,
( e21 != e21
| ~ spl0_113 ),
inference(forward_demodulation,[status(thm)],[f2386,f2431]) ).
fof(f2433,plain,
( $false
| ~ spl0_113 ),
inference(trivial_equality_resolution,[status(esa)],[f2432]) ).
fof(f2434,plain,
~ spl0_113,
inference(contradiction_clause,[status(thm)],[f2433]) ).
fof(f2435,plain,
op2(e22,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f187]) ).
fof(f2438,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f186]) ).
fof(f2439,plain,
h4(e10) != h4(e13),
inference(forward_demodulation,[status(thm)],[f2424,f2438]) ).
fof(f2440,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f309,f184]) ).
fof(f2441,plain,
op2(e20,e23) != e21,
inference(forward_demodulation,[status(thm)],[f2386,f2440]) ).
fof(f2442,plain,
( h4(e13) = op2(h4(e12),h4(e12))
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f290,f1470]) ).
fof(f2443,plain,
( e21 = op2(h4(e12),h4(e12))
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f2386,f2442]) ).
fof(f2444,plain,
( e21 = op2(e23,h4(e12))
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f306,f2443]) ).
fof(f2445,plain,
( e21 = op2(e23,e23)
| ~ spl0_217 ),
inference(forward_demodulation,[status(thm)],[f306,f2444]) ).
fof(f2462,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2374,f1267]) ).
fof(f2463,plain,
( h1(e11) != h1(e11)
| spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2399,f2462]) ).
fof(f2464,plain,
( $false
| spl0_153 ),
inference(trivial_equality_resolution,[status(esa)],[f2463]) ).
fof(f2465,plain,
spl0_153,
inference(contradiction_clause,[status(thm)],[f2464]) ).
fof(f2466,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f2374,f1340]) ).
fof(f2467,plain,
( h2(e11) != h2(e11)
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f2409,f2466]) ).
fof(f2468,plain,
( $false
| spl0_176 ),
inference(trivial_equality_resolution,[status(esa)],[f2467]) ).
fof(f2469,plain,
spl0_176,
inference(contradiction_clause,[status(thm)],[f2468]) ).
fof(f2470,plain,
( h3(e11) != h4(e13)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f2374,f2104]) ).
fof(f2471,plain,
( e21 != h4(e13)
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f2041,f2470]) ).
fof(f2472,plain,
( e21 != e21
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f2386,f2471]) ).
fof(f2473,plain,
( $false
| spl0_199 ),
inference(trivial_equality_resolution,[status(esa)],[f2472]) ).
fof(f2474,plain,
spl0_199,
inference(contradiction_clause,[status(thm)],[f2473]) ).
fof(f2475,plain,
( h4(e11) != op2(h4(e13),h4(e13))
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2374,f1486]) ).
fof(f2476,plain,
( h2(e13) != op2(h4(e13),h4(e13))
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2422,f2475]) ).
fof(f2477,plain,
( h2(e13) != op2(e21,h4(e13))
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2386,f2476]) ).
fof(f2478,plain,
( h2(e13) != op2(e21,e21)
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2386,f2477]) ).
fof(f2479,plain,
( h2(e13) != h2(e13)
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f301,f2478]) ).
fof(f2480,plain,
( $false
| spl0_222 ),
inference(trivial_equality_resolution,[status(esa)],[f2479]) ).
fof(f2481,plain,
spl0_222,
inference(contradiction_clause,[status(thm)],[f2480]) ).
fof(f2482,plain,
( op1(e13,e11) != e13
| spl0_132 ),
inference(forward_demodulation,[status(thm)],[f2374,f1181]) ).
fof(f2488,plain,
( e11 != op1(e13,e13)
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f826,f160]) ).
fof(f2489,plain,
( e11 != e11
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f2374,f2488]) ).
fof(f2490,plain,
( $false
| ~ spl0_49 ),
inference(trivial_equality_resolution,[status(esa)],[f2489]) ).
fof(f2491,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f2490]) ).
fof(f2492,plain,
op1(e12,e13) != e11,
inference(forward_demodulation,[status(thm)],[f2374,f139]) ).
fof(f2493,plain,
op1(e11,e13) != e11,
inference(forward_demodulation,[status(thm)],[f2374,f138]) ).
fof(f2495,plain,
( h4(op1(e11,e11)) != op2(h2(e13),h4(e11))
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f2422,f1456]) ).
fof(f2496,plain,
( h4(op1(e11,e11)) != op2(h2(e13),h2(e13))
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f2422,f2495]) ).
fof(f2497,plain,
( h4(op1(e11,e11)) != h2(e11)
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f2409,f2496]) ).
fof(f2503,plain,
( h3(op1(e11,e12)) != e22
| ~ spl0_90
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f991,f2127]) ).
fof(f2504,plain,
( h3(e12) != e22
| ~ spl0_26
| ~ spl0_90
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f751,f2503]) ).
fof(f2505,plain,
( e22 != e22
| ~ spl0_26
| ~ spl0_90
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f302,f2504]) ).
fof(f2506,plain,
( $false
| ~ spl0_26
| ~ spl0_90
| spl0_190 ),
inference(trivial_equality_resolution,[status(esa)],[f2505]) ).
fof(f2507,plain,
( ~ spl0_26
| ~ spl0_90
| spl0_190 ),
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2508,plain,
( h3(op1(e11,e13)) != h4(e10)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f2424,f2125]) ).
fof(f2512,plain,
( op2(e21,e23) != e23
| ~ spl0_95
| spl0_309 ),
inference(backward_demodulation,[status(thm)],[f1007,f1894]) ).
fof(f2513,plain,
( ~ spl0_95
| spl0_309 ),
inference(split_clause,[status(thm)],[f2512,f1006,f1892]) ).
fof(f2514,plain,
( h4(e10) = e23
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f2424,f1007]) ).
fof(f2515,plain,
( $false
| spl0_226
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f2514,f1498]) ).
fof(f2516,plain,
( spl0_226
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2515]) ).
fof(f2519,plain,
op2(e23,e20) != e20,
inference(forward_demodulation,[status(thm)],[f2387,f207]) ).
fof(f2528,plain,
( op2(e20,e23) != e20
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1050,f183]) ).
fof(f2529,plain,
( h3(e10) != op2(e23,e22)
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2375,f2106]) ).
fof(f2530,plain,
( e20 != op2(e23,e22)
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2040,f2529]) ).
fof(f2531,plain,
( e20 != e20
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2387,f2530]) ).
fof(f2532,plain,
( $false
| spl0_198 ),
inference(trivial_equality_resolution,[status(esa)],[f2531]) ).
fof(f2533,plain,
spl0_198,
inference(contradiction_clause,[status(thm)],[f2532]) ).
fof(f2536,plain,
op2(e20,e22) != e20,
inference(forward_demodulation,[status(thm)],[f2387,f178]) ).
fof(f2540,plain,
( op2(e21,e20) != e21
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f1014,f167]) ).
fof(f2542,plain,
( h4(op1(e11,e13)) != op2(h2(e13),h4(e13))
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f2422,f1462]) ).
fof(f2543,plain,
( h4(op1(e11,e13)) != op2(h2(e13),e21)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f2386,f2542]) ).
fof(f2544,plain,
( h4(op1(e11,e13)) != h2(e10)
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f2410,f2543]) ).
fof(f2547,plain,
( e10 = e13
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f836,f845]) ).
fof(f2548,plain,
( $false
| ~ spl0_52
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f2547,f214]) ).
fof(f2549,plain,
( ~ spl0_52
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f2548]) ).
fof(f2551,plain,
( h4(op1(e13,e11)) != op2(e21,h4(e11))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f2386,f1480]) ).
fof(f2552,plain,
( h4(op1(e13,e11)) != op2(e21,h2(e13))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f2422,f2551]) ).
fof(f2555,plain,
( h4(op1(e13,e10)) != op2(e21,h4(e10))
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f2386,f1477]) ).
fof(f2556,plain,
op1(e13,e10) != e10,
inference(forward_demodulation,[status(thm)],[f2375,f159]) ).
fof(f2559,plain,
( h1(e10) != op2(h1(e13),e20)
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2375,f2154]) ).
fof(f2560,plain,
( h1(e10) != op2(e20,e20)
| ~ spl0_64
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2166,f2559]) ).
fof(f2561,plain,
( h2(e10) != op2(h2(e13),e21)
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2375,f2142]) ).
fof(f2562,plain,
( h2(e10) != h2(e10)
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2410,f2561]) ).
fof(f2563,plain,
( $false
| spl0_175 ),
inference(trivial_equality_resolution,[status(esa)],[f2562]) ).
fof(f2564,plain,
spl0_175,
inference(contradiction_clause,[status(thm)],[f2563]) ).
fof(f2565,plain,
( h4(e10) != op2(h4(e13),e23)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2375,f2090]) ).
fof(f2566,plain,
( h4(e10) != op2(e21,e23)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2386,f2565]) ).
fof(f2567,plain,
( h4(e10) != h4(e10)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2424,f2566]) ).
fof(f2568,plain,
( $false
| spl0_221 ),
inference(trivial_equality_resolution,[status(esa)],[f2567]) ).
fof(f2569,plain,
spl0_221,
inference(contradiction_clause,[status(thm)],[f2568]) ).
fof(f2570,plain,
( op1(e13,e10) != e12
| spl0_131 ),
inference(forward_demodulation,[status(thm)],[f2375,f1177]) ).
fof(f2575,plain,
( $false
| ~ spl0_108
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f2528]) ).
fof(f2576,plain,
( ~ spl0_108
| ~ spl0_76 ),
inference(contradiction_clause,[status(thm)],[f2575]) ).
fof(f2577,plain,
( $false
| ~ spl0_97
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f2540]) ).
fof(f2578,plain,
( ~ spl0_97
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f2577]) ).
fof(f2579,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f2493]) ).
fof(f2580,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2586,plain,
( op1(e12,e11) != e11
| ~ spl0_37
| spl0_286 ),
inference(backward_demodulation,[status(thm)],[f787,f1769]) ).
fof(f2587,plain,
( ~ spl0_37
| spl0_286 ),
inference(split_clause,[status(thm)],[f2586,f786,f1767]) ).
fof(f2588,plain,
( e11 != op1(e13,e11)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f787,f127]) ).
fof(f2589,plain,
( ~ spl0_53
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2588,f838,f786]) ).
fof(f2592,plain,
( op2(e22,e20) != e20
| ~ spl0_96
| spl0_290 ),
inference(backward_demodulation,[status(thm)],[f1011,f1786]) ).
fof(f2593,plain,
( ~ spl0_96
| spl0_290 ),
inference(split_clause,[status(thm)],[f2592,f1010,f1784]) ).
fof(f2602,plain,
( op1(e12,e10) != e10
| ~ spl0_32
| spl0_285 ),
inference(backward_demodulation,[status(thm)],[f771,f1765]) ).
fof(f2603,plain,
( ~ spl0_32
| spl0_285 ),
inference(split_clause,[status(thm)],[f2602,f770,f1763]) ).
fof(f2607,plain,
( e11 = e12
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f787,f790]) ).
fof(f2608,plain,
( $false
| ~ spl0_37
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f215]) ).
fof(f2609,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(contradiction_clause,[status(thm)],[f2608]) ).
fof(f2610,plain,
( op2(e23,e21) != e23
| spl0_137 ),
inference(backward_demodulation,[status(thm)],[f2386,f2086]) ).
fof(f2614,plain,
( h2(e13) != e20
| spl0_269 ),
inference(backward_demodulation,[status(thm)],[f2422,f1680]) ).
fof(f2615,plain,
( ~ spl0_247
| spl0_269 ),
inference(split_clause,[status(thm)],[f2614,f1590,f1678]) ).
fof(f2616,plain,
( h2(e13) != e21
| spl0_273 ),
inference(backward_demodulation,[status(thm)],[f2422,f1696]) ).
fof(f2617,plain,
( ~ spl0_251
| spl0_273 ),
inference(split_clause,[status(thm)],[f2616,f1606,f1694]) ).
fof(f2618,plain,
( h2(e13) != e22
| spl0_277 ),
inference(backward_demodulation,[status(thm)],[f2422,f1712]) ).
fof(f2619,plain,
h2(e13) != h4(e10),
inference(backward_demodulation,[status(thm)],[f2424,f2411]) ).
fof(f2628,plain,
( e20 != op2(e20,e23)
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f2166,f2401]) ).
fof(f2629,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f2166,f2400]) ).
fof(f2630,plain,
( $false
| spl0_152
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2629,f2560]) ).
fof(f2631,plain,
( spl0_152
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2630]) ).
fof(f2632,plain,
( h1(e11) = op2(h1(e13),h1(e13))
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2374,f1266]) ).
fof(f2644,plain,
( e11 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f2374,f868]) ).
fof(f2645,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2644,f215]) ).
fof(f2646,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2645]) ).
fof(f2648,plain,
( op2(e20,e22) != e22
| ~ spl0_74
| spl0_324 ),
inference(backward_demodulation,[status(thm)],[f939,f1986]) ).
fof(f2649,plain,
( ~ spl0_74
| spl0_324 ),
inference(split_clause,[status(thm)],[f2648,f938,f1984]) ).
fof(f2661,plain,
op1(e11,e12) != e10,
inference(forward_demodulation,[status(thm)],[f2375,f132]) ).
fof(f2662,plain,
( e21 = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f2386,f2178]) ).
fof(f2663,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f2662,f222]) ).
fof(f2664,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f2663]) ).
fof(f2670,plain,
( h2(e11) != op2(h2(e11),h2(e11))
| ~ spl0_21
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f735,f1310]) ).
fof(f2682,plain,
( op1(e11,e11) != e11
| ~ spl0_21
| spl0_302 ),
inference(backward_demodulation,[status(thm)],[f735,f1865]) ).
fof(f2683,plain,
( ~ spl0_21
| spl0_302 ),
inference(split_clause,[status(thm)],[f2682,f734,f1863]) ).
fof(f2686,plain,
( op1(e11,e10) != e11
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f735,f146]) ).
fof(f2687,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2686,f721,f734]) ).
fof(f2689,plain,
( e11 != op1(e12,e11)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f735,f125]) ).
fof(f2690,plain,
( op1(e10,e11) != e11
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f735,f122]) ).
fof(f2691,plain,
( ~ spl0_5
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2690,f682,f734]) ).
fof(f2701,plain,
( op1(e11,e13) != e13
| ~ spl0_31
| spl0_304 ),
inference(backward_demodulation,[status(thm)],[f767,f1873]) ).
fof(f2702,plain,
( ~ spl0_31
| spl0_304 ),
inference(split_clause,[status(thm)],[f2701,f766,f1871]) ).
fof(f2703,plain,
( h3(e13) != op2(e23,e21)
| ~ spl0_55
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f845,f2108]) ).
fof(f2708,plain,
( e13 != e13
| ~ spl0_55
| spl0_132 ),
inference(forward_demodulation,[status(thm)],[f845,f2482]) ).
fof(f2709,plain,
( $false
| ~ spl0_55
| spl0_132 ),
inference(trivial_equality_resolution,[status(esa)],[f2708]) ).
fof(f2710,plain,
( ~ spl0_55
| spl0_132 ),
inference(contradiction_clause,[status(thm)],[f2709]) ).
fof(f2711,plain,
( h2(e10) = op2(h2(e13),h2(e12))
| ~ spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2375,f1336]) ).
fof(f2717,plain,
op2(e22,e23) != e21,
inference(forward_demodulation,[status(thm)],[f2386,f2435]) ).
fof(f2719,plain,
( op2(e22,e21) != e21
| ~ spl0_101
| spl0_291 ),
inference(backward_demodulation,[status(thm)],[f1027,f1790]) ).
fof(f2720,plain,
( ~ spl0_101
| spl0_291 ),
inference(split_clause,[status(thm)],[f2719,f1026,f1788]) ).
fof(f2721,plain,
( e21 != op2(e23,e21)
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f1027,f175]) ).
fof(f2723,plain,
( op2(e21,e20) != e22
| ~ spl0_98 ),
inference(forward_demodulation,[status(thm)],[f1017,f167]) ).
fof(f2735,plain,
( e23 = e21
| ~ spl0_183
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f1363,f2169]) ).
fof(f2736,plain,
( $false
| ~ spl0_183
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f2735,f222]) ).
fof(f2737,plain,
( ~ spl0_183
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f2736]) ).
fof(f2751,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f823,f2556]) ).
fof(f2752,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f2751]) ).
fof(f2759,plain,
( op1(e10,e10) != e11
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f774,f117]) ).
fof(f2768,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl0_26
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f751,f2152]) ).
fof(f2769,plain,
( e21 != op2(h2(e11),e21)
| ~ spl0_26
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f298,f2768]) ).
fof(f2770,plain,
( h4(e12) != op2(h4(e11),e23)
| ~ spl0_26
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f751,f2100]) ).
fof(f2771,plain,
( e23 != op2(h4(e11),e23)
| ~ spl0_26
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f306,f2770]) ).
fof(f2772,plain,
( op1(e11,e12) != e12
| ~ spl0_26
| spl0_303 ),
inference(backward_demodulation,[status(thm)],[f751,f1869]) ).
fof(f2773,plain,
( ~ spl0_26
| spl0_303 ),
inference(split_clause,[status(thm)],[f2772,f750,f1867]) ).
fof(f2774,plain,
( e12 != op1(e11,e13)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f751,f151]) ).
fof(f2775,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2774,f763,f750]) ).
fof(f2779,plain,
( h1(e10) = op2(h1(e13),h1(e12))
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2375,f1263]) ).
fof(f2780,plain,
( h1(e10) = op2(h1(e13),e20)
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f294,f2779]) ).
fof(f2808,plain,
( e11 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f2374,f871]) ).
fof(f2809,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2808,f216]) ).
fof(f2810,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f2809]) ).
fof(f2814,plain,
( op2(e20,e20) != e20
| ~ spl0_64
| spl0_322 ),
inference(backward_demodulation,[status(thm)],[f2166,f2085]) ).
fof(f2815,plain,
( ~ spl0_64
| spl0_322 ),
inference(split_clause,[status(thm)],[f2814,f906,f1976]) ).
fof(f2816,plain,
( e20 = op2(e20,e20)
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f2166,f297]) ).
fof(f2817,plain,
( e20 = h1(e13)
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f297,f2816]) ).
fof(f2818,plain,
( ~ spl0_76
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f2628,f945,f906]) ).
fof(f2819,plain,
( h1(e10) = h1(e13)
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f297,f2629]) ).
fof(f2820,plain,
( h1(e10) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f2817,f2819]) ).
fof(f2821,plain,
( $false
| spl0_232
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2820,f1532]) ).
fof(f2822,plain,
( spl0_232
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2823,plain,
( $false
| spl0_292
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f2088]) ).
fof(f2824,plain,
( spl0_292
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f2823]) ).
fof(f2825,plain,
( e20 != e20
| spl0_120 ),
inference(forward_demodulation,[status(thm)],[f2387,f1090]) ).
fof(f2826,plain,
( $false
| spl0_120 ),
inference(trivial_equality_resolution,[status(esa)],[f2825]) ).
fof(f2827,plain,
spl0_120,
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2832,plain,
( e21 != op2(e22,e21)
| ~ spl0_251 ),
inference(forward_demodulation,[status(thm)],[f1607,f2416]) ).
fof(f2841,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[status(thm)],[f1063,f2519]) ).
fof(f2842,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f2841]) ).
fof(f2844,plain,
op2(e21,e22) != e20,
inference(forward_demodulation,[status(thm)],[f2387,f180]) ).
fof(f2846,plain,
( e10 != op1(e11,e13)
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f706,f134]) ).
fof(f2847,plain,
( $false
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f758,f2846]) ).
fof(f2848,plain,
( ~ spl0_12
| ~ spl0_28 ),
inference(contradiction_clause,[status(thm)],[f2847]) ).
fof(f2850,plain,
( h2(e10) = op2(e21,h2(e12))
| ~ spl0_251
| ~ spl0_175 ),
inference(forward_demodulation,[status(thm)],[f1607,f2711]) ).
fof(f2851,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_251
| ~ spl0_175 ),
inference(forward_demodulation,[status(thm)],[f298,f2850]) ).
fof(f2854,plain,
( ~ spl0_255
| spl0_277 ),
inference(split_clause,[status(thm)],[f2618,f1622,f1710]) ).
fof(f2860,plain,
( h4(op1(e13,e11)) != op2(e21,e21)
| ~ spl0_251
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1607,f2552]) ).
fof(f2861,plain,
( h4(op1(e13,e11)) != h2(e10)
| ~ spl0_175
| ~ spl0_251
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f2851,f2860]) ).
fof(f2874,plain,
( op2(e21,e21) != e21
| ~ spl0_251
| spl0_307 ),
inference(forward_demodulation,[status(thm)],[f1607,f2087]) ).
fof(f2875,plain,
( e21 = op2(e21,e21)
| ~ spl0_251 ),
inference(forward_demodulation,[status(thm)],[f1607,f301]) ).
fof(f2876,plain,
( e21 = h2(e10)
| ~ spl0_175
| ~ spl0_251 ),
inference(forward_demodulation,[status(thm)],[f2851,f2875]) ).
fof(f2877,plain,
( $false
| spl0_248
| ~ spl0_175
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[status(thm)],[f2876,f1596]) ).
fof(f2878,plain,
( spl0_248
| ~ spl0_175
| ~ spl0_251 ),
inference(contradiction_clause,[status(thm)],[f2877]) ).
fof(f2883,plain,
( op2(e20,e23) != e23
| ~ spl0_79
| spl0_325 ),
inference(backward_demodulation,[status(thm)],[f955,f1990]) ).
fof(f2884,plain,
( ~ spl0_79
| spl0_325 ),
inference(split_clause,[status(thm)],[f2883,f954,f1988]) ).
fof(f2885,plain,
( e23 != op2(e21,e23)
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f955,f182]) ).
fof(f2886,plain,
( ~ spl0_95
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f2885,f1006,f954]) ).
fof(f2902,plain,
( op1(e10,e10) != e10
| ~ spl0_0
| spl0_317 ),
inference(backward_demodulation,[status(thm)],[f667,f1957]) ).
fof(f2903,plain,
( ~ spl0_0
| spl0_317 ),
inference(split_clause,[status(thm)],[f2902,f666,f1955]) ).
fof(f2908,plain,
( e10 != op1(e10,e11)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f667,f140]) ).
fof(f2911,plain,
( e10 != op1(e12,e10)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f667,f117]) ).
fof(f2912,plain,
( ~ spl0_32
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2911,f770,f666]) ).
fof(f2913,plain,
( e10 != op1(e11,e10)
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f667,f116]) ).
fof(f2914,plain,
( ~ spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2913,f718,f666]) ).
fof(f2937,plain,
( op1(e10,e12) != e12
| ~ spl0_10
| spl0_319 ),
inference(backward_demodulation,[status(thm)],[f699,f1965]) ).
fof(f2938,plain,
( ~ spl0_10
| spl0_319 ),
inference(split_clause,[status(thm)],[f2937,f698,f1963]) ).
fof(f2947,plain,
( op1(e10,e13) != e13
| ~ spl0_15
| spl0_320 ),
inference(backward_demodulation,[status(thm)],[f715,f1969]) ).
fof(f2948,plain,
( ~ spl0_15
| spl0_320 ),
inference(split_clause,[status(thm)],[f2947,f714,f1967]) ).
fof(f2949,plain,
( e13 != op1(e11,e13)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f715,f134]) ).
fof(f2950,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2949,f766,f714]) ).
fof(f2954,plain,
( e10 = e13
| ~ spl0_59 ),
inference(forward_demodulation,[status(thm)],[f2375,f858]) ).
fof(f2955,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f2954,f214]) ).
fof(f2956,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f2955]) ).
fof(f2960,plain,
( op1(e12,e12) != e13
| ~ spl0_46
| spl0_288 ),
inference(forward_demodulation,[status(thm)],[f816,f1777]) ).
fof(f2961,plain,
( e13 != e13
| ~ spl0_46
| spl0_288 ),
inference(forward_demodulation,[status(thm)],[f290,f2960]) ).
fof(f2962,plain,
( $false
| ~ spl0_46
| spl0_288 ),
inference(trivial_equality_resolution,[status(esa)],[f2961]) ).
fof(f2963,plain,
( ~ spl0_46
| spl0_288 ),
inference(contradiction_clause,[status(thm)],[f2962]) ).
fof(f2964,plain,
( e21 = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f2386,f2199]) ).
fof(f2965,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2964,f218]) ).
fof(f2966,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f2965]) ).
fof(f2972,plain,
( $false
| spl0_137
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f1085,f2610]) ).
fof(f2973,plain,
( spl0_137
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f2972]) ).
fof(f2974,plain,
( ~ spl0_82
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2723,f964,f1016]) ).
fof(f2975,plain,
( h2(e10) != op2(h2(e11),h2(e10))
| ~ spl0_16
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f719,f1307]) ).
fof(f2976,plain,
( h4(e10) != op2(h4(e11),h4(e10))
| ~ spl0_16
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f719,f1453]) ).
fof(f2977,plain,
( op1(e11,e10) != e10
| ~ spl0_16
| spl0_301 ),
inference(backward_demodulation,[status(thm)],[f719,f1861]) ).
fof(f2978,plain,
( ~ spl0_16
| spl0_301 ),
inference(split_clause,[status(thm)],[f2977,f718,f1859]) ).
fof(f3016,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_64
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f2817,f2780]) ).
fof(f3017,plain,
( h1(e10) = h1(e13)
| ~ spl0_64
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f297,f3016]) ).
fof(f3021,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f985,f2844]) ).
fof(f3022,plain,
~ spl0_88,
inference(contradiction_clause,[status(thm)],[f3021]) ).
fof(f3024,plain,
( e20 = e21
| ~ spl0_247
| ~ spl0_251 ),
inference(forward_demodulation,[status(thm)],[f1591,f1607]) ).
fof(f3025,plain,
( $false
| ~ spl0_247
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[status(thm)],[f3024,f218]) ).
fof(f3026,plain,
( ~ spl0_247
| ~ spl0_251 ),
inference(contradiction_clause,[status(thm)],[f3025]) ).
fof(f3031,plain,
( ~ spl0_50
| spl0_131 ),
inference(split_clause,[status(thm)],[f2570,f828,f1175]) ).
fof(f3035,plain,
( op1(e10,e10) != e12
| ~ spl0_50 ),
inference(forward_demodulation,[status(thm)],[f829,f118]) ).
fof(f3051,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f2376]) ).
fof(f3052,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3061,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2759,f669,f773]) ).
fof(f3063,plain,
( op1(e13,e11) = e13
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f2374,f1180]) ).
fof(f3065,plain,
( op1(e10,e11) != e13
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f845,f124]) ).
fof(f3066,plain,
( ~ spl0_7
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f3065,f688,f844]) ).
fof(f3067,plain,
( op1(e13,e10) != e13
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f845,f158]) ).
fof(f3068,plain,
( ~ spl0_51
| ~ spl0_55 ),
inference(split_clause,[status(thm)],[f3067,f831,f844]) ).
fof(f3070,plain,
( op1(e13,e13) != e11
| ~ spl0_55
| spl0_130 ),
inference(backward_demodulation,[status(thm)],[f845,f1173]) ).
fof(f3071,plain,
( e11 != e11
| ~ spl0_55
| spl0_130 ),
inference(forward_demodulation,[status(thm)],[f2374,f3070]) ).
fof(f3072,plain,
( $false
| ~ spl0_55
| spl0_130 ),
inference(trivial_equality_resolution,[status(esa)],[f3071]) ).
fof(f3073,plain,
( ~ spl0_55
| spl0_130 ),
inference(contradiction_clause,[status(thm)],[f3072]) ).
fof(f3076,plain,
( h3(e10) != op2(e22,e23)
| ~ spl0_44
| spl0_195 ),
inference(backward_demodulation,[status(thm)],[f810,f2112]) ).
fof(f3077,plain,
( e20 != op2(e22,e23)
| ~ spl0_44
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f2040,f3076]) ).
fof(f3083,plain,
( h3(e12) != op2(e22,e21)
| ~ spl0_38
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f790,f2121]) ).
fof(f3084,plain,
( e22 != op2(e22,e21)
| ~ spl0_38
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f302,f3083]) ).
fof(f3099,plain,
( h2(e13) != e22
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f1030,f2416]) ).
fof(f3100,plain,
( ~ spl0_255
| ~ spl0_102 ),
inference(split_clause,[status(thm)],[f3099,f1622,f1029]) ).
fof(f3102,plain,
( $false
| ~ spl0_38
| spl0_193
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f3084]) ).
fof(f3103,plain,
( ~ spl0_38
| spl0_193
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f3102]) ).
fof(f3104,plain,
( $false
| ~ spl0_44
| spl0_195
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f3077]) ).
fof(f3105,plain,
( ~ spl0_44
| spl0_195
| ~ spl0_108 ),
inference(contradiction_clause,[status(thm)],[f3104]) ).
fof(f3106,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f949,f2441]) ).
fof(f3107,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f3106]) ).
fof(f3108,plain,
( e23 != op2(e23,e21)
| ~ spl0_55
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f2042,f2703]) ).
fof(f3109,plain,
( e23 != e23
| ~ spl0_119
| ~ spl0_55
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1085,f3108]) ).
fof(f3110,plain,
( $false
| ~ spl0_119
| ~ spl0_55
| spl0_197 ),
inference(trivial_equality_resolution,[status(esa)],[f3109]) ).
fof(f3111,plain,
( ~ spl0_119
| ~ spl0_55
| spl0_197 ),
inference(contradiction_clause,[status(thm)],[f3110]) ).
fof(f3112,plain,
( op2(e23,e21) = e23
| ~ spl0_217
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f2445,f1217]) ).
fof(f3118,plain,
( $false
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f2388]) ).
fof(f3119,plain,
~ spl0_111,
inference(contradiction_clause,[status(thm)],[f3118]) ).
fof(f3120,plain,
( h4(e10) = e21
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f2424,f1001]) ).
fof(f3124,plain,
( op2(e20,e21) != e20
| ~ spl0_247 ),
inference(backward_demodulation,[status(thm)],[f1591,f2417]) ).
fof(f3125,plain,
( ~ spl0_68
| ~ spl0_247 ),
inference(split_clause,[status(thm)],[f3124,f919,f1590]) ).
fof(f3143,plain,
( h1(e13) != op2(h1(e13),h1(e11))
| ~ spl0_132
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f3063,f1261]) ).
fof(f3148,plain,
( e20 = e22
| ~ spl0_122 ),
inference(forward_demodulation,[status(thm)],[f2387,f1095]) ).
fof(f3149,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f3148,f219]) ).
fof(f3150,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f3149]) ).
fof(f3157,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[status(thm)],[f933,f2536]) ).
fof(f3158,plain,
~ spl0_72,
inference(contradiction_clause,[status(thm)],[f3157]) ).
fof(f3164,plain,
( e23 != h4(e10)
| ~ spl0_183 ),
inference(backward_demodulation,[status(thm)],[f1363,f2619]) ).
fof(f3165,plain,
( ~ spl0_226
| ~ spl0_183 ),
inference(split_clause,[status(thm)],[f3164,f1496,f1362]) ).
fof(f3185,plain,
( h4(e11) = e23
| ~ spl0_183 ),
inference(backward_demodulation,[status(thm)],[f1363,f2422]) ).
fof(f3186,plain,
( e20 = e23
| ~ spl0_269
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f1679,f3185]) ).
fof(f3187,plain,
( $false
| ~ spl0_269
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[status(thm)],[f3186,f220]) ).
fof(f3188,plain,
( ~ spl0_269
| ~ spl0_183 ),
inference(contradiction_clause,[status(thm)],[f3187]) ).
fof(f3195,plain,
( e10 != op1(e11,e13)
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f732,f150]) ).
fof(f3196,plain,
( ~ spl0_28
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f3195,f757,f731]) ).
fof(f3197,plain,
( op1(e10,e11) != e10
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f732,f122]) ).
fof(f3201,plain,
( op1(e13,e10) = e12
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f2375,f1176]) ).
fof(f3207,plain,
( op1(e12,e10) != e12
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f3201,f121]) ).
fof(f3242,plain,
( $false
| ~ spl0_131
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f3207]) ).
fof(f3243,plain,
( ~ spl0_131
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f3242]) ).
fof(f3245,plain,
( op1(e10,e12) != e11
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f748,f128]) ).
fof(f3250,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f3035,f672,f828]) ).
fof(f3255,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f2383]) ).
fof(f3256,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f3255]) ).
fof(f3257,plain,
( e10 = e12
| ~ spl0_58 ),
inference(forward_demodulation,[status(thm)],[f2375,f855]) ).
fof(f3258,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f3257,f213]) ).
fof(f3259,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f3258]) ).
fof(f3260,plain,
( ~ spl0_46
| spl0_287 ),
inference(split_clause,[status(thm)],[f2089,f815,f1771]) ).
fof(f3266,plain,
( e23 != op2(e23,e21)
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f1072,f206]) ).
fof(f3270,plain,
( h1(e13) != e23
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f1072,f2404]) ).
fof(f3271,plain,
( ~ spl0_160
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f3270,f1289,f1071]) ).
fof(f3273,plain,
( e20 = e22
| ~ spl0_247
| ~ spl0_255 ),
inference(forward_demodulation,[status(thm)],[f1591,f1623]) ).
fof(f3274,plain,
( $false
| ~ spl0_247
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[status(thm)],[f3273,f219]) ).
fof(f3275,plain,
( ~ spl0_247
| ~ spl0_255 ),
inference(contradiction_clause,[status(thm)],[f3274]) ).
fof(f3276,plain,
h4(e10) != e21,
inference(forward_demodulation,[status(thm)],[f2386,f2439]) ).
fof(f3285,plain,
( $false
| ~ spl0_115
| ~ spl0_217
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f3112,f3266]) ).
fof(f3286,plain,
( ~ spl0_115
| ~ spl0_217
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f3285]) ).
fof(f3302,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_64
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f3017,f297]) ).
fof(f3303,plain,
( e20 = op2(e20,e20)
| ~ spl0_232
| ~ spl0_64
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f1531,f3302]) ).
fof(f3304,plain,
( e20 = h1(e13)
| ~ spl0_232
| ~ spl0_64
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f297,f3303]) ).
fof(f3312,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f1053,f2717]) ).
fof(f3313,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f3312]) ).
fof(f3319,plain,
( e20 != op2(e20,e21)
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f2817,f2403]) ).
fof(f3327,plain,
( e11 != op1(e11,e10)
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f670,f116]) ).
fof(f3328,plain,
( ~ spl0_17
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f3327,f721,f669]) ).
fof(f3333,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f2492]) ).
fof(f3334,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f3333]) ).
fof(f3352,plain,
( op2(e21,e20) != e23
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f1072,f168]) ).
fof(f3353,plain,
( ~ spl0_83
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f3352,f967,f1071]) ).
fof(f3375,plain,
( op1(e11,e12) != e11
| ~ spl0_22
| spl0_302 ),
inference(backward_demodulation,[status(thm)],[f738,f1865]) ).
fof(f3376,plain,
( ~ spl0_25
| ~ spl0_22
| spl0_302 ),
inference(split_clause,[status(thm)],[f3375,f747,f737,f1863]) ).
fof(f3378,plain,
( h3(e12) != op2(e23,e20)
| ~ spl0_131
| spl0_196 ),
inference(backward_demodulation,[status(thm)],[f3201,f2110]) ).
fof(f3379,plain,
( e22 != op2(e23,e20)
| ~ spl0_131
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f302,f3378]) ).
fof(f3382,plain,
op2(e23,e21) != e20,
inference(forward_demodulation,[status(thm)],[f2387,f209]) ).
fof(f3418,plain,
( e21 = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f2386,f2181]) ).
fof(f3419,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f3418,f221]) ).
fof(f3420,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f3419]) ).
fof(f3424,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f3382]) ).
fof(f3425,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f3424]) ).
fof(f3443,plain,
( e20 != op2(e21,e20)
| ~ spl0_232
| ~ spl0_64
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f3304,f2407]) ).
fof(f3444,plain,
( ~ spl0_80
| ~ spl0_232
| ~ spl0_64
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f3443,f958,f1530,f906,f1262]) ).
fof(f3449,plain,
( e22 = e21
| ~ spl0_98
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f1017,f1014]) ).
fof(f3450,plain,
( $false
| ~ spl0_98
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f3449,f221]) ).
fof(f3451,plain,
( ~ spl0_98
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f3450]) ).
fof(f3471,plain,
( op1(e11,e10) != e10
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f771,f119]) ).
fof(f3472,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f3471,f718,f770]) ).
fof(f3485,plain,
( op1(e11,e10) != e11
| ~ spl0_33 ),
inference(backward_demodulation,[status(thm)],[f774,f119]) ).
fof(f3486,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f3485,f721,f773]) ).
fof(f3517,plain,
( e23 = op2(e21,e21)
| ~ spl0_183 ),
inference(backward_demodulation,[status(thm)],[f1363,f301]) ).
fof(f3518,plain,
( e23 = h2(e13)
| ~ spl0_183 ),
inference(forward_demodulation,[status(thm)],[f301,f3517]) ).
fof(f3532,plain,
( op2(e20,e21) != e21
| ~ spl0_69
| spl0_323 ),
inference(backward_demodulation,[status(thm)],[f923,f1982]) ).
fof(f3533,plain,
( ~ spl0_69
| spl0_323 ),
inference(split_clause,[status(thm)],[f3532,f922,f1980]) ).
fof(f3539,plain,
( e21 != op2(e22,e21)
| ~ spl0_69 ),
inference(backward_demodulation,[status(thm)],[f923,f171]) ).
fof(f3540,plain,
( ~ spl0_101
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f3539,f1026,f922]) ).
fof(f3549,plain,
( op1(e11,e11) != e13
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f3063,f126]) ).
fof(f3550,plain,
( ~ spl0_23
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f3549,f740,f1179]) ).
fof(f3564,plain,
( op1(e11,e10) != e12
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f738,f146]) ).
fof(f3582,plain,
( e20 = e22
| ~ spl0_232
| ~ spl0_64
| ~ spl0_152
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f3304,f2187]) ).
fof(f3583,plain,
( $false
| ~ spl0_232
| ~ spl0_64
| ~ spl0_152
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f3582,f219]) ).
fof(f3584,plain,
( ~ spl0_232
| ~ spl0_64
| ~ spl0_152
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f3583]) ).
fof(f3595,plain,
( h4(e10) = e20
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f2424,f998]) ).
fof(f3600,plain,
( ~ spl0_117
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2721,f1078,f1026]) ).
fof(f3602,plain,
( e22 = e21
| ~ spl0_74
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f939,f936]) ).
fof(f3603,plain,
( $false
| ~ spl0_74
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f3602,f221]) ).
fof(f3604,plain,
( ~ spl0_74
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f3603]) ).
fof(f3610,plain,
( op1(e10,e13) = e13
| ~ spl0_15
| ~ spl0_320 ),
inference(backward_demodulation,[status(thm)],[f715,f1968]) ).
fof(f3612,plain,
( op2(e22,e23) = e22
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f293,f1793]) ).
fof(f3615,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f2661]) ).
fof(f3616,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f3615]) ).
fof(f3618,plain,
( op1(e10,e11) != e12
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f699,f143]) ).
fof(f3664,plain,
( e23 = e22
| ~ spl0_183
| ~ spl0_255 ),
inference(forward_demodulation,[status(thm)],[f3518,f1623]) ).
fof(f3665,plain,
( $false
| ~ spl0_183
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[status(thm)],[f3664,f223]) ).
fof(f3666,plain,
( ~ spl0_183
| ~ spl0_255 ),
inference(contradiction_clause,[status(thm)],[f3665]) ).
fof(f3667,plain,
( e23 = e22
| ~ spl0_115
| ~ spl0_114 ),
inference(forward_demodulation,[status(thm)],[f1072,f1069]) ).
fof(f3668,plain,
( $false
| ~ spl0_115
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f3667,f223]) ).
fof(f3669,plain,
( ~ spl0_115
| ~ spl0_114 ),
inference(contradiction_clause,[status(thm)],[f3668]) ).
fof(f3671,plain,
( e21 = e20
| ~ spl0_101
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f1027,f1024]) ).
fof(f3672,plain,
( $false
| ~ spl0_101
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f3671,f218]) ).
fof(f3673,plain,
( ~ spl0_101
| ~ spl0_100 ),
inference(contradiction_clause,[status(thm)],[f3672]) ).
fof(f3675,plain,
( op2(e22,e20) != e23
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f1072,f169]) ).
fof(f3679,plain,
( op1(e10,e11) != e11
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f787,f123]) ).
fof(f3680,plain,
( ~ spl0_5
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f3679,f682,f786]) ).
fof(f3708,plain,
( op1(e10,e11) != e13
| ~ spl0_15
| ~ spl0_320 ),
inference(backward_demodulation,[status(thm)],[f3610,f144]) ).
fof(f3710,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f2381]) ).
fof(f3711,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f3710]) ).
fof(f3721,plain,
( h1(e11) = op2(e22,h1(e13))
| ~ spl0_66
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2187,f2632]) ).
fof(f3722,plain,
( h1(e11) = op2(e22,e22)
| ~ spl0_66
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2187,f3721]) ).
fof(f3723,plain,
( h1(e11) = e23
| ~ spl0_66
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f293,f3722]) ).
fof(f3724,plain,
( e23 != e23
| ~ spl0_66
| ~ spl0_153
| spl0_158 ),
inference(forward_demodulation,[status(thm)],[f3723,f1283]) ).
fof(f3725,plain,
( $false
| ~ spl0_66
| ~ spl0_153
| spl0_158 ),
inference(trivial_equality_resolution,[status(esa)],[f3724]) ).
fof(f3726,plain,
( ~ spl0_66
| ~ spl0_153
| spl0_158 ),
inference(contradiction_clause,[status(thm)],[f3725]) ).
fof(f3776,plain,
( $false
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f994,f2395]) ).
fof(f3777,plain,
~ spl0_91,
inference(contradiction_clause,[status(thm)],[f3776]) ).
fof(f3783,plain,
( $false
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f3120,f3276]) ).
fof(f3784,plain,
~ spl0_93,
inference(contradiction_clause,[status(thm)],[f3783]) ).
fof(f3786,plain,
( e11 != op1(e11,e12)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f735,f149]) ).
fof(f3787,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f3786,f747,f734]) ).
fof(f3789,plain,
( h4(e11) != h2(e11)
| ~ spl0_21
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f735,f2497]) ).
fof(f3790,plain,
( ~ spl0_37
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2689,f786,f734]) ).
fof(f3792,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1033,f2390]) ).
fof(f3793,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f3792]) ).
fof(f3799,plain,
( op1(e12,e11) = e11
| ~ spl0_37
| ~ spl0_286 ),
inference(backward_demodulation,[status(thm)],[f787,f1768]) ).
fof(f3819,plain,
( ~ spl0_7
| ~ spl0_15
| ~ spl0_320 ),
inference(split_clause,[status(thm)],[f3708,f688,f714,f1967]) ).
fof(f3825,plain,
( ~ spl0_68
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f3319,f919,f906]) ).
fof(f3860,plain,
( ~ spl0_99
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f3675,f1019,f1071]) ).
fof(f3887,plain,
( e10 = e11
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f2375,f852]) ).
fof(f3888,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f3887,f212]) ).
fof(f3889,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f3888]) ).
fof(f3894,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f3245,f695,f747]) ).
fof(f3897,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f3618,f685,f698]) ).
fof(f3909,plain,
( op1(e11,e10) != e13
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f832,f120]) ).
fof(f3923,plain,
( e22 != op2(e22,e23)
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f952,f183]) ).
fof(f3942,plain,
( h2(e10) = h2(e13)
| ~ spl0_251
| ~ spl0_175 ),
inference(forward_demodulation,[status(thm)],[f301,f2851]) ).
fof(f3950,plain,
( h2(e10) != e21
| ~ spl0_175
| ~ spl0_251
| spl0_307 ),
inference(forward_demodulation,[status(thm)],[f2851,f2874]) ).
fof(f3951,plain,
( ~ spl0_248
| ~ spl0_175
| ~ spl0_251
| spl0_307 ),
inference(split_clause,[status(thm)],[f3950,f1594,f1335,f1606,f1884]) ).
fof(f3952,plain,
( ~ spl0_101
| ~ spl0_251 ),
inference(split_clause,[status(thm)],[f2832,f1026,f1606]) ).
fof(f3979,plain,
( e20 != op2(e20,e23)
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f920,f192]) ).
fof(f3981,plain,
( h3(op1(e10,e11)) != e20
| ~ spl0_68
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f920,f2138]) ).
fof(f3984,plain,
( e23 = e20
| ~ spl0_226
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f1497,f3595]) ).
fof(f3985,plain,
( $false
| ~ spl0_226
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[status(thm)],[f3984,f220]) ).
fof(f3986,plain,
( ~ spl0_226
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f3985]) ).
fof(f3996,plain,
( ~ spl0_4
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f2908,f679,f666]) ).
fof(f4015,plain,
( h4(op1(e12,e10)) != op2(e23,e23)
| ~ spl0_226
| spl0_215 ),
inference(backward_demodulation,[status(thm)],[f1497,f2099]) ).
fof(f4016,plain,
( h4(op1(e12,e10)) != e21
| ~ spl0_217
| ~ spl0_226
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f2445,f4015]) ).
fof(f4032,plain,
( h4(e11) != op2(h4(e10),e23)
| ~ spl0_9
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f696,f2101]) ).
fof(f4033,plain,
( e21 != op2(h4(e10),e23)
| ~ spl0_273
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f1695,f4032]) ).
fof(f4034,plain,
( e21 != op2(e23,e23)
| ~ spl0_226
| ~ spl0_273
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f1497,f4033]) ).
fof(f4035,plain,
( e21 != e21
| ~ spl0_217
| ~ spl0_226
| ~ spl0_273
| ~ spl0_9
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f2445,f4034]) ).
fof(f4036,plain,
( $false
| ~ spl0_217
| ~ spl0_226
| ~ spl0_273
| ~ spl0_9
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f4035]) ).
fof(f4037,plain,
( ~ spl0_217
| ~ spl0_226
| ~ spl0_273
| ~ spl0_9
| spl0_209 ),
inference(contradiction_clause,[status(thm)],[f4036]) ).
fof(f4041,plain,
( h3(e11) != op2(e20,e22)
| ~ spl0_9
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f696,f2136]) ).
fof(f4042,plain,
( e21 != op2(e20,e22)
| ~ spl0_9
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f2041,f4041]) ).
fof(f4059,plain,
( $false
| ~ spl0_78
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[status(thm)],[f3612,f3923]) ).
fof(f4060,plain,
( ~ spl0_78
| ~ spl0_292 ),
inference(contradiction_clause,[status(thm)],[f4059]) ).
fof(f4071,plain,
( h1(e11) = op2(e23,h1(e13))
| ~ spl0_160
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f1290,f2632]) ).
fof(f4072,plain,
( h1(e11) = op2(e23,e23)
| ~ spl0_160
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f1290,f4071]) ).
fof(f4073,plain,
( h1(e11) = e21
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153 ),
inference(forward_demodulation,[status(thm)],[f2445,f4072]) ).
fof(f4075,plain,
( e21 != e21
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| spl0_237 ),
inference(forward_demodulation,[status(thm)],[f4073,f1552]) ).
fof(f4076,plain,
( $false
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| spl0_237 ),
inference(trivial_equality_resolution,[status(esa)],[f4075]) ).
fof(f4077,plain,
( ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| spl0_237 ),
inference(contradiction_clause,[status(thm)],[f4076]) ).
fof(f4083,plain,
( h1(e10) = op2(e23,e20)
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1290,f2400]) ).
fof(f4084,plain,
( h1(e10) = e22
| ~ spl0_114
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f1069,f4083]) ).
fof(f4085,plain,
( $false
| spl0_240
| ~ spl0_114
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[status(thm)],[f4084,f1564]) ).
fof(f4086,plain,
( spl0_240
| ~ spl0_114
| ~ spl0_160 ),
inference(contradiction_clause,[status(thm)],[f4085]) ).
fof(f4089,plain,
( op2(e21,e20) != e20
| ~ spl0_80
| spl0_306 ),
inference(backward_demodulation,[status(thm)],[f959,f1882]) ).
fof(f4090,plain,
( ~ spl0_80
| spl0_306 ),
inference(split_clause,[status(thm)],[f4089,f958,f1880]) ).
fof(f4114,plain,
( op2(e23,e23) != e21
| ~ spl0_119
| spl0_135 ),
inference(backward_demodulation,[status(thm)],[f1085,f1210]) ).
fof(f4115,plain,
( ~ spl0_125
| ~ spl0_119
| spl0_135 ),
inference(split_clause,[status(thm)],[f4114,f1104,f1084,f1208]) ).
fof(f4167,plain,
( op1(e11,e10) != e10
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f758,f148]) ).
fof(f4207,plain,
( ~ spl0_18
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f3564,f724,f737]) ).
fof(f4216,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f3909,f727,f831]) ).
fof(f4217,plain,
( op1(e10,e10) != e13
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f832,f118]) ).
fof(f4225,plain,
( h2(e13) != op2(h2(e13),h2(e10))
| ~ spl0_51
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f832,f1331]) ).
fof(f4244,plain,
( op2(e20,e20) = e21
| ~ spl0_68
| ~ spl0_323 ),
inference(forward_demodulation,[status(thm)],[f920,f1981]) ).
fof(f4280,plain,
( op2(e21,e23) != e20
| ~ spl0_83
| spl0_306 ),
inference(backward_demodulation,[status(thm)],[f968,f1882]) ).
fof(f4281,plain,
( ~ spl0_92
| ~ spl0_83
| spl0_306 ),
inference(split_clause,[status(thm)],[f4280,f997,f967,f1880]) ).
fof(f4310,plain,
( ~ spl0_76
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f3979,f945,f919]) ).
fof(f4317,plain,
( e12 != op1(e11,e12)
| ~ spl0_18 ),
inference(backward_demodulation,[status(thm)],[f725,f147]) ).
fof(f4318,plain,
( ~ spl0_26
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f4317,f750,f724]) ).
fof(f4325,plain,
( h3(e11) != op2(e22,e20)
| ~ spl0_33
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f774,f2123]) ).
fof(f4326,plain,
( e21 != op2(e22,e20)
| ~ spl0_33
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f2041,f4325]) ).
fof(f4331,plain,
( h2(e13) = e21
| ~ spl0_273 ),
inference(forward_demodulation,[status(thm)],[f2422,f1695]) ).
fof(f4332,plain,
( e23 != op2(e21,e23)
| ~ spl0_273
| ~ spl0_26
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f1695,f2771]) ).
fof(f4333,plain,
( ~ spl0_95
| ~ spl0_273
| ~ spl0_26
| spl0_213 ),
inference(split_clause,[status(thm)],[f4332,f1006,f1694,f750,f1457]) ).
fof(f4364,plain,
( e22 != op2(e23,e20)
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f2187,f2404]) ).
fof(f4365,plain,
( e22 != e22
| ~ spl0_114
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f1069,f4364]) ).
fof(f4366,plain,
( $false
| ~ spl0_114
| ~ spl0_66 ),
inference(trivial_equality_resolution,[status(esa)],[f4365]) ).
fof(f4367,plain,
( ~ spl0_114
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f4366]) ).
fof(f4371,plain,
( h4(e11) != e21
| ~ spl0_33
| ~ spl0_217
| ~ spl0_226
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f774,f4016]) ).
fof(f4384,plain,
( h3(e12) = op2(h3(e11),h3(e12))
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f751,f1385]) ).
fof(f4385,plain,
( e22 = op2(h3(e11),h3(e12))
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f302,f4384]) ).
fof(f4386,plain,
( e22 = op2(e21,h3(e12))
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f2041,f4385]) ).
fof(f4387,plain,
( e22 = op2(e21,e22)
| ~ spl0_26
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f302,f4386]) ).
fof(f4420,plain,
( h4(e12) != op2(e21,h4(e10))
| ~ spl0_131
| spl0_219 ),
inference(backward_demodulation,[status(thm)],[f3201,f2555]) ).
fof(f4421,plain,
( e23 != op2(e21,h4(e10))
| ~ spl0_131
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f306,f4420]) ).
fof(f4422,plain,
( e23 != op2(e21,e23)
| ~ spl0_226
| ~ spl0_131
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f1497,f4421]) ).
fof(f4431,plain,
( ~ spl0_114
| ~ spl0_131
| spl0_196 ),
inference(split_clause,[status(thm)],[f3379,f1068,f1175,f1402]) ).
fof(f4445,plain,
( h4(e11) = h2(e10)
| ~ spl0_251
| ~ spl0_175 ),
inference(backward_demodulation,[status(thm)],[f3942,f2422]) ).
fof(f4446,plain,
( h4(e11) = e21
| ~ spl0_248
| ~ spl0_251
| ~ spl0_175 ),
inference(forward_demodulation,[status(thm)],[f1595,f4445]) ).
fof(f4447,plain,
( $false
| ~ spl0_33
| ~ spl0_217
| ~ spl0_226
| spl0_215
| ~ spl0_248
| ~ spl0_251
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[status(thm)],[f4446,f4371]) ).
fof(f4448,plain,
( ~ spl0_33
| ~ spl0_217
| ~ spl0_226
| spl0_215
| ~ spl0_248
| ~ spl0_251
| ~ spl0_175 ),
inference(contradiction_clause,[status(thm)],[f4447]) ).
fof(f4513,plain,
( ~ spl0_73
| ~ spl0_9
| spl0_186 ),
inference(split_clause,[status(thm)],[f4042,f935,f695,f1372]) ).
fof(f4523,plain,
( h4(e11) = e21
| ~ spl0_273 ),
inference(backward_demodulation,[status(thm)],[f4331,f2422]) ).
fof(f4529,plain,
( h2(e11) = op2(h2(e13),e21)
| ~ spl0_273 ),
inference(backward_demodulation,[status(thm)],[f4331,f2409]) ).
fof(f4532,plain,
( e21 = op2(e21,e21)
| ~ spl0_273 ),
inference(backward_demodulation,[status(thm)],[f4331,f301]) ).
fof(f4560,plain,
( h4(e12) = op2(h4(e11),h4(e12))
| ~ spl0_26
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f751,f1458]) ).
fof(f4561,plain,
( e23 = op2(h4(e11),h4(e12))
| ~ spl0_26
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f306,f4560]) ).
fof(f4562,plain,
( e23 = op2(e21,h4(e12))
| ~ spl0_273
| ~ spl0_26
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f4523,f4561]) ).
fof(f4563,plain,
( e23 = op2(e21,e23)
| ~ spl0_273
| ~ spl0_26
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f306,f4562]) ).
fof(f4598,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e21)
| ~ spl0_248
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1595,f1307]) ).
fof(f4625,plain,
( e10 != op1(e12,e13)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f758,f137]) ).
fof(f4626,plain,
( ~ spl0_44
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f4625,f809,f757]) ).
fof(f4630,plain,
( ~ spl0_16
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f4167,f718,f757]) ).
fof(f4662,plain,
( h2(e11) = op2(e21,e21)
| ~ spl0_273 ),
inference(forward_demodulation,[status(thm)],[f4331,f4529]) ).
fof(f4663,plain,
( h2(e11) = e21
| ~ spl0_273 ),
inference(forward_demodulation,[status(thm)],[f4532,f4662]) ).
fof(f4680,plain,
( h4(op1(e10,e10)) != op2(e23,h4(e10))
| ~ spl0_226
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1497,f1441]) ).
fof(f4681,plain,
( h4(op1(e10,e10)) != op2(e23,e23)
| ~ spl0_226
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f1497,f4680]) ).
fof(f4682,plain,
( h4(op1(e10,e10)) != e21
| ~ spl0_217
| ~ spl0_226
| spl0_207 ),
inference(forward_demodulation,[status(thm)],[f2445,f4681]) ).
fof(f4685,plain,
( h3(op1(e10,e10)) != e23
| ~ spl0_160
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f1290,f2141]) ).
fof(f4698,plain,
( e23 = op2(e20,e20)
| ~ spl0_160 ),
inference(backward_demodulation,[status(thm)],[f1290,f297]) ).
fof(f4749,plain,
( e12 != op1(e13,e11)
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f686,f124]) ).
fof(f4750,plain,
( ~ spl0_54
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f4749,f841,f685]) ).
fof(f4754,plain,
( h2(e11) != op2(e21,h2(e11))
| ~ spl0_37
| ~ spl0_286
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f3799,f2150]) ).
fof(f4755,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_273
| ~ spl0_37
| ~ spl0_286
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f4663,f4754]) ).
fof(f4756,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_37
| ~ spl0_286
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f4663,f4755]) ).
fof(f4757,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_37
| ~ spl0_286
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f4532,f4756]) ).
fof(f4758,plain,
( $false
| ~ spl0_273
| ~ spl0_37
| ~ spl0_286
| spl0_170 ),
inference(trivial_equality_resolution,[status(esa)],[f4757]) ).
fof(f4759,plain,
( ~ spl0_273
| ~ spl0_37
| ~ spl0_286
| spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4758]) ).
fof(f4785,plain,
( e21 != op2(h2(e13),h2(e10))
| ~ spl0_273
| ~ spl0_51
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f4331,f4225]) ).
fof(f4786,plain,
( e21 != op2(e21,h2(e10))
| ~ spl0_273
| ~ spl0_51
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f4331,f4785]) ).
fof(f4787,plain,
( e21 != op2(e21,e21)
| ~ spl0_248
| ~ spl0_273
| ~ spl0_51
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f1595,f4786]) ).
fof(f4788,plain,
( e21 != e21
| ~ spl0_248
| ~ spl0_273
| ~ spl0_51
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f4532,f4787]) ).
fof(f4789,plain,
( $false
| ~ spl0_248
| ~ spl0_273
| ~ spl0_51
| spl0_173 ),
inference(trivial_equality_resolution,[status(esa)],[f4788]) ).
fof(f4790,plain,
( ~ spl0_248
| ~ spl0_273
| ~ spl0_51
| spl0_173 ),
inference(contradiction_clause,[status(thm)],[f4789]) ).
fof(f4801,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f4217,f675,f831]) ).
fof(f4803,plain,
( h2(op1(e11,e10)) != op2(e21,e21)
| ~ spl0_273
| ~ spl0_248
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f4663,f4598]) ).
fof(f4804,plain,
( h2(e11) != op2(e21,e21)
| ~ spl0_17
| ~ spl0_273
| ~ spl0_248
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f722,f4803]) ).
fof(f4805,plain,
( e21 != op2(e21,e21)
| ~ spl0_17
| ~ spl0_273
| ~ spl0_248
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f4663,f4804]) ).
fof(f4806,plain,
( e21 != e21
| ~ spl0_17
| ~ spl0_273
| ~ spl0_248
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f4532,f4805]) ).
fof(f4807,plain,
( $false
| ~ spl0_17
| ~ spl0_273
| ~ spl0_248
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f4806]) ).
fof(f4808,plain,
( ~ spl0_17
| ~ spl0_273
| ~ spl0_248
| spl0_165 ),
inference(contradiction_clause,[status(thm)],[f4807]) ).
fof(f4811,plain,
( e10 != op1(e10,e13)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f680,f144]) ).
fof(f4812,plain,
( ~ spl0_12
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f4811,f705,f679]) ).
fof(f4814,plain,
( e23 != op2(h4(e11),h4(e10))
| ~ spl0_226
| ~ spl0_16
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1497,f2976]) ).
fof(f4815,plain,
( e23 != op2(e21,h4(e10))
| ~ spl0_273
| ~ spl0_226
| ~ spl0_16
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f4523,f4814]) ).
fof(f4816,plain,
( e23 != op2(e21,e23)
| ~ spl0_273
| ~ spl0_226
| ~ spl0_16
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f1497,f4815]) ).
fof(f4817,plain,
( e23 != e23
| ~ spl0_26
| ~ spl0_213
| ~ spl0_273
| ~ spl0_226
| ~ spl0_16
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f4563,f4816]) ).
fof(f4818,plain,
( $false
| ~ spl0_26
| ~ spl0_213
| ~ spl0_273
| ~ spl0_226
| ~ spl0_16
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f4817]) ).
fof(f4819,plain,
( ~ spl0_26
| ~ spl0_213
| ~ spl0_273
| ~ spl0_226
| ~ spl0_16
| spl0_211 ),
inference(contradiction_clause,[status(thm)],[f4818]) ).
fof(f4839,plain,
( h3(e12) != op2(e20,e23)
| ~ spl0_14
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f712,f2134]) ).
fof(f4840,plain,
( e22 != op2(e20,e23)
| ~ spl0_14
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f302,f4839]) ).
fof(f4841,plain,
( e22 != e22
| ~ spl0_78
| ~ spl0_14
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f952,f4840]) ).
fof(f4842,plain,
( $false
| ~ spl0_78
| ~ spl0_14
| spl0_187 ),
inference(trivial_equality_resolution,[status(esa)],[f4841]) ).
fof(f4843,plain,
( ~ spl0_78
| ~ spl0_14
| spl0_187 ),
inference(contradiction_clause,[status(thm)],[f4842]) ).
fof(f4846,plain,
( op1(e11,e10) != e13
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f767,f148]) ).
fof(f4847,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f4846,f727,f766]) ).
fof(f4852,plain,
( h4(e13) != h2(e10)
| ~ spl0_31
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f767,f2544]) ).
fof(f4853,plain,
( e21 != h2(e10)
| ~ spl0_31
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f2386,f4852]) ).
fof(f4854,plain,
( e21 != e21
| ~ spl0_248
| ~ spl0_31
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f1595,f4853]) ).
fof(f4855,plain,
( $false
| ~ spl0_248
| ~ spl0_31
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f4854]) ).
fof(f4856,plain,
( ~ spl0_248
| ~ spl0_31
| spl0_214 ),
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4863,plain,
( ~ spl0_97
| ~ spl0_33
| spl0_192 ),
inference(split_clause,[status(thm)],[f4326,f1013,f773,f1390]) ).
fof(f4873,plain,
( op1(e11,e11) = e11
| ~ spl0_21
| ~ spl0_302 ),
inference(backward_demodulation,[status(thm)],[f735,f1864]) ).
fof(f4915,plain,
( e23 != op2(h1(e13),h1(e11))
| ~ spl0_160
| ~ spl0_132
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1290,f3143]) ).
fof(f4916,plain,
( e23 != op2(e23,h1(e11))
| ~ spl0_160
| ~ spl0_132
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1290,f4915]) ).
fof(f4917,plain,
( e23 != op2(e23,e21)
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_132
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f4073,f4916]) ).
fof(f4918,plain,
( e23 != e23
| ~ spl0_137
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_132
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f3112,f4917]) ).
fof(f4919,plain,
( $false
| ~ spl0_137
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_132
| spl0_151 ),
inference(trivial_equality_resolution,[status(esa)],[f4918]) ).
fof(f4920,plain,
( ~ spl0_137
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_132
| spl0_151 ),
inference(contradiction_clause,[status(thm)],[f4919]) ).
fof(f4923,plain,
( ~ spl0_95
| ~ spl0_226
| ~ spl0_131
| spl0_219 ),
inference(split_clause,[status(thm)],[f4422,f1006,f1496,f1175,f1475]) ).
fof(f4942,plain,
( e21 != op2(h2(e11),h2(e11))
| ~ spl0_273
| ~ spl0_21
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f4663,f2670]) ).
fof(f4943,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_273
| ~ spl0_21
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f4663,f4942]) ).
fof(f4944,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_21
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f4663,f4943]) ).
fof(f4945,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_21
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f4532,f4944]) ).
fof(f4946,plain,
( $false
| ~ spl0_273
| ~ spl0_21
| spl0_166 ),
inference(trivial_equality_resolution,[status(esa)],[f4945]) ).
fof(f4947,plain,
( ~ spl0_273
| ~ spl0_21
| spl0_166 ),
inference(contradiction_clause,[status(thm)],[f4946]) ).
fof(f4948,plain,
( e21 != h2(e11)
| ~ spl0_273
| ~ spl0_21
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f4523,f3789]) ).
fof(f4949,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_21
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f4663,f4948]) ).
fof(f4950,plain,
( $false
| ~ spl0_273
| ~ spl0_21
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f4949]) ).
fof(f4951,plain,
( ~ spl0_273
| ~ spl0_21
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f4950]) ).
fof(f4976,plain,
( h3(e13) != e23
| ~ spl0_3
| ~ spl0_160
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f676,f4685]) ).
fof(f4977,plain,
( ~ spl0_206
| ~ spl0_3
| ~ spl0_160
| spl0_184 ),
inference(split_clause,[status(thm)],[f4976,f1435,f675,f1289,f1366]) ).
fof(f4981,plain,
( h4(e13) != e21
| ~ spl0_3
| ~ spl0_217
| ~ spl0_226
| spl0_207 ),
inference(backward_demodulation,[status(thm)],[f676,f4682]) ).
fof(f4982,plain,
( ~ spl0_275
| ~ spl0_3
| ~ spl0_217
| ~ spl0_226
| spl0_207 ),
inference(split_clause,[status(thm)],[f4981,f1702,f675,f1469,f1496,f1439]) ).
fof(f5002,plain,
( e10 != op1(e11,e11)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f719,f146]) ).
fof(f5008,plain,
( h3(e10) != op2(e21,e20)
| ~ spl0_16
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f719,f2132]) ).
fof(f5009,plain,
( e20 != op2(e21,e20)
| ~ spl0_16
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f2040,f5008]) ).
fof(f5010,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_16
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f959,f5009]) ).
fof(f5011,plain,
( $false
| ~ spl0_80
| ~ spl0_16
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f5010]) ).
fof(f5012,plain,
( ~ spl0_80
| ~ spl0_16
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f5011]) ).
fof(f5062,plain,
( h1(e12) != op2(h1(e13),h1(e10))
| ~ spl0_131
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f3201,f1258]) ).
fof(f5063,plain,
( e20 != op2(h1(e13),h1(e10))
| ~ spl0_131
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f294,f5062]) ).
fof(f5064,plain,
( e20 != op2(e23,h1(e10))
| ~ spl0_160
| ~ spl0_131
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f1290,f5063]) ).
fof(f5065,plain,
( e20 != op2(e23,e22)
| ~ spl0_114
| ~ spl0_160
| ~ spl0_131
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f4084,f5064]) ).
fof(f5066,plain,
( e20 != e20
| ~ spl0_114
| ~ spl0_160
| ~ spl0_131
| spl0_150 ),
inference(forward_demodulation,[status(thm)],[f2387,f5065]) ).
fof(f5067,plain,
( $false
| ~ spl0_114
| ~ spl0_160
| ~ spl0_131
| spl0_150 ),
inference(trivial_equality_resolution,[status(esa)],[f5066]) ).
fof(f5068,plain,
( ~ spl0_114
| ~ spl0_160
| ~ spl0_131
| spl0_150 ),
inference(contradiction_clause,[status(thm)],[f5067]) ).
fof(f5110,plain,
( h1(e11) != op2(e20,h1(e10))
| ~ spl0_33
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f774,f2163]) ).
fof(f5111,plain,
( e21 != op2(e20,h1(e10))
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_33
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f4073,f5110]) ).
fof(f5112,plain,
( e21 != op2(e20,e22)
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_33
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f4084,f5111]) ).
fof(f5113,plain,
( e21 != e21
| ~ spl0_73
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_33
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f936,f5112]) ).
fof(f5114,plain,
( $false
| ~ spl0_73
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_33
| spl0_146 ),
inference(trivial_equality_resolution,[status(esa)],[f5113]) ).
fof(f5115,plain,
( ~ spl0_73
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_33
| spl0_146 ),
inference(contradiction_clause,[status(thm)],[f5114]) ).
fof(f5116,plain,
( h1(e13) != op2(h1(e11),h1(e13))
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f767,f1243]) ).
fof(f5117,plain,
( e23 != op2(h1(e11),h1(e13))
| ~ spl0_160
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f1290,f5116]) ).
fof(f5118,plain,
( e23 != op2(e21,h1(e13))
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f4073,f5117]) ).
fof(f5119,plain,
( e23 != op2(e21,e23)
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f1290,f5118]) ).
fof(f5120,plain,
( e23 != e23
| ~ spl0_273
| ~ spl0_26
| ~ spl0_213
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_31
| spl0_145 ),
inference(forward_demodulation,[status(thm)],[f4563,f5119]) ).
fof(f5121,plain,
( $false
| ~ spl0_273
| ~ spl0_26
| ~ spl0_213
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_31
| spl0_145 ),
inference(trivial_equality_resolution,[status(esa)],[f5120]) ).
fof(f5122,plain,
( ~ spl0_273
| ~ spl0_26
| ~ spl0_213
| ~ spl0_217
| ~ spl0_153
| ~ spl0_160
| ~ spl0_31
| spl0_145 ),
inference(contradiction_clause,[status(thm)],[f5121]) ).
fof(f5123,plain,
( h1(e12) != op2(h1(e11),e20)
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f751,f2164]) ).
fof(f5124,plain,
( e20 != op2(h1(e11),e20)
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f294,f5123]) ).
fof(f5125,plain,
( e20 != op2(e21,e20)
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f4073,f5124]) ).
fof(f5126,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_26
| spl0_144 ),
inference(forward_demodulation,[status(thm)],[f959,f5125]) ).
fof(f5127,plain,
( $false
| ~ spl0_80
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_26
| spl0_144 ),
inference(trivial_equality_resolution,[status(esa)],[f5126]) ).
fof(f5128,plain,
( ~ spl0_80
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_26
| spl0_144 ),
inference(contradiction_clause,[status(thm)],[f5127]) ).
fof(f5129,plain,
( h1(e11) != op2(h1(e11),h1(e11))
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f4873,f1237]) ).
fof(f5130,plain,
( e21 != op2(h1(e11),h1(e11))
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f4073,f5129]) ).
fof(f5131,plain,
( e21 != op2(e21,h1(e11))
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f4073,f5130]) ).
fof(f5132,plain,
( e21 != op2(e21,e21)
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f4073,f5131]) ).
fof(f5133,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(forward_demodulation,[status(thm)],[f4532,f5132]) ).
fof(f5134,plain,
( $false
| ~ spl0_273
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(trivial_equality_resolution,[status(esa)],[f5133]) ).
fof(f5135,plain,
( ~ spl0_273
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_21
| ~ spl0_302
| spl0_143 ),
inference(contradiction_clause,[status(thm)],[f5134]) ).
fof(f5136,plain,
( h1(e10) != op2(h1(e11),h1(e10))
| ~ spl0_16
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f719,f1234]) ).
fof(f5137,plain,
( e22 != op2(h1(e11),h1(e10))
| ~ spl0_114
| ~ spl0_160
| ~ spl0_16
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f4084,f5136]) ).
fof(f5138,plain,
( e22 != op2(e21,h1(e10))
| ~ spl0_217
| ~ spl0_153
| ~ spl0_114
| ~ spl0_160
| ~ spl0_16
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f4073,f5137]) ).
fof(f5139,plain,
( e22 != op2(e21,e22)
| ~ spl0_217
| ~ spl0_153
| ~ spl0_114
| ~ spl0_160
| ~ spl0_16
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f4084,f5138]) ).
fof(f5140,plain,
( e22 != e22
| ~ spl0_26
| ~ spl0_190
| ~ spl0_217
| ~ spl0_153
| ~ spl0_114
| ~ spl0_160
| ~ spl0_16
| spl0_142 ),
inference(forward_demodulation,[status(thm)],[f4387,f5139]) ).
fof(f5141,plain,
( $false
| ~ spl0_26
| ~ spl0_190
| ~ spl0_217
| ~ spl0_153
| ~ spl0_114
| ~ spl0_160
| ~ spl0_16
| spl0_142 ),
inference(trivial_equality_resolution,[status(esa)],[f5140]) ).
fof(f5142,plain,
( ~ spl0_26
| ~ spl0_190
| ~ spl0_217
| ~ spl0_153
| ~ spl0_114
| ~ spl0_160
| ~ spl0_16
| spl0_142 ),
inference(contradiction_clause,[status(thm)],[f5141]) ).
fof(f5150,plain,
( h1(e11) != op2(h1(e10),e20)
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f696,f2165]) ).
fof(f5151,plain,
( e21 != op2(h1(e10),e20)
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f4073,f5150]) ).
fof(f5152,plain,
( e21 != op2(e22,e20)
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f4084,f5151]) ).
fof(f5153,plain,
( e21 != e21
| ~ spl0_97
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_9
| spl0_140 ),
inference(forward_demodulation,[status(thm)],[f1014,f5152]) ).
fof(f5154,plain,
( $false
| ~ spl0_97
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_9
| spl0_140 ),
inference(trivial_equality_resolution,[status(esa)],[f5153]) ).
fof(f5155,plain,
( ~ spl0_97
| ~ spl0_114
| ~ spl0_217
| ~ spl0_160
| ~ spl0_153
| ~ spl0_9
| spl0_140 ),
inference(contradiction_clause,[status(thm)],[f5154]) ).
fof(f5163,plain,
( h1(op1(e10,e10)) != op2(e22,h1(e10))
| ~ spl0_114
| ~ spl0_160
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f4084,f1222]) ).
fof(f5164,plain,
( h1(op1(e10,e10)) != op2(e22,e22)
| ~ spl0_114
| ~ spl0_160
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f4084,f5163]) ).
fof(f5165,plain,
( h1(op1(e10,e10)) != e23
| ~ spl0_114
| ~ spl0_160
| spl0_138 ),
inference(forward_demodulation,[status(thm)],[f293,f5164]) ).
fof(f5181,plain,
( h3(e10) != e20
| ~ spl0_4
| ~ spl0_68
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f680,f3981]) ).
fof(f5182,plain,
( ~ spl0_256
| ~ spl0_4
| ~ spl0_68
| spl0_185 ),
inference(split_clause,[status(thm)],[f5181,f1626,f679,f919,f1369]) ).
fof(f5201,plain,
( e10 = e11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f719,f722]) ).
fof(f5202,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f5201,f212]) ).
fof(f5203,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f5202]) ).
fof(f5204,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f5002,f731,f718]) ).
fof(f5249,plain,
( ~ spl0_4
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f3197,f679,f731]) ).
fof(f5276,plain,
( op2(e23,e22) != e20
| ~ spl0_114
| spl0_134 ),
inference(forward_demodulation,[status(thm)],[f1069,f1206]) ).
fof(f5277,plain,
( e20 != e20
| ~ spl0_114
| spl0_134 ),
inference(forward_demodulation,[status(thm)],[f2387,f5276]) ).
fof(f5278,plain,
( $false
| ~ spl0_114
| spl0_134 ),
inference(trivial_equality_resolution,[status(esa)],[f5277]) ).
fof(f5279,plain,
( ~ spl0_114
| spl0_134 ),
inference(contradiction_clause,[status(thm)],[f5278]) ).
fof(f5325,plain,
( e21 != op2(h2(e11),h2(e10))
| ~ spl0_248
| ~ spl0_16
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1595,f2975]) ).
fof(f5326,plain,
( e21 != op2(e21,h2(e10))
| ~ spl0_273
| ~ spl0_248
| ~ spl0_16
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f4663,f5325]) ).
fof(f5327,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_248
| ~ spl0_16
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1595,f5326]) ).
fof(f5328,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_248
| ~ spl0_16
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f4532,f5327]) ).
fof(f5329,plain,
( $false
| ~ spl0_273
| ~ spl0_248
| ~ spl0_16
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f5328]) ).
fof(f5330,plain,
( ~ spl0_273
| ~ spl0_248
| ~ spl0_16
| spl0_165 ),
inference(contradiction_clause,[status(thm)],[f5329]) ).
fof(f5331,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_26
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4663,f2769]) ).
fof(f5332,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_26
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4532,f5331]) ).
fof(f5333,plain,
( $false
| ~ spl0_273
| ~ spl0_26
| spl0_167 ),
inference(trivial_equality_resolution,[status(esa)],[f5332]) ).
fof(f5334,plain,
( ~ spl0_273
| ~ spl0_26
| spl0_167 ),
inference(contradiction_clause,[status(thm)],[f5333]) ).
fof(f5364,plain,
( h3(e11) != h2(e13)
| ~ spl0_21
| ~ spl0_302
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f4873,f2130]) ).
fof(f5365,plain,
( e21 != h2(e13)
| ~ spl0_21
| ~ spl0_302
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f2041,f5364]) ).
fof(f5366,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_21
| ~ spl0_302
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f4331,f5365]) ).
fof(f5367,plain,
( $false
| ~ spl0_273
| ~ spl0_21
| ~ spl0_302
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f5366]) ).
fof(f5368,plain,
( ~ spl0_273
| ~ spl0_21
| ~ spl0_302
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f5367]) ).
fof(f5434,plain,
( h3(e13) != h4(e10)
| ~ spl0_31
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f767,f2508]) ).
fof(f5435,plain,
( e23 != h4(e10)
| ~ spl0_31
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f2042,f5434]) ).
fof(f5436,plain,
( e23 != e23
| ~ spl0_226
| ~ spl0_31
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1497,f5435]) ).
fof(f5437,plain,
( $false
| ~ spl0_226
| ~ spl0_31
| spl0_191 ),
inference(trivial_equality_resolution,[status(esa)],[f5436]) ).
fof(f5438,plain,
( ~ spl0_226
| ~ spl0_31
| spl0_191 ),
inference(contradiction_clause,[status(thm)],[f5437]) ).
fof(f5447,plain,
( h1(e13) != e23
| ~ spl0_3
| ~ spl0_114
| ~ spl0_160
| spl0_138 ),
inference(backward_demodulation,[status(thm)],[f676,f5165]) ).
fof(f5448,plain,
( ~ spl0_160
| ~ spl0_3
| ~ spl0_114
| spl0_138 ),
inference(split_clause,[status(thm)],[f5447,f1289,f675,f1068,f1220]) ).
fof(f5460,plain,
( h4(e13) != h2(e10)
| ~ spl0_55
| ~ spl0_175
| ~ spl0_251
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f845,f2861]) ).
fof(f5461,plain,
( e21 != h2(e10)
| ~ spl0_55
| ~ spl0_175
| ~ spl0_251
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f2386,f5460]) ).
fof(f5462,plain,
( e21 != e21
| ~ spl0_248
| ~ spl0_55
| ~ spl0_175
| ~ spl0_251
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1595,f5461]) ).
fof(f5463,plain,
( $false
| ~ spl0_248
| ~ spl0_55
| ~ spl0_175
| ~ spl0_251
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f5462]) ).
fof(f5464,plain,
( ~ spl0_248
| ~ spl0_55
| ~ spl0_175
| ~ spl0_251
| spl0_220 ),
inference(contradiction_clause,[status(thm)],[f5463]) ).
fof(f5465,plain,
( e23 = e21
| ~ spl0_160
| ~ spl0_68
| ~ spl0_323 ),
inference(forward_demodulation,[status(thm)],[f4698,f4244]) ).
fof(f5466,plain,
( $false
| ~ spl0_160
| ~ spl0_68
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[status(thm)],[f5465,f222]) ).
fof(f5467,plain,
( ~ spl0_160
| ~ spl0_68
| ~ spl0_323 ),
inference(contradiction_clause,[status(thm)],[f5466]) ).
fof(f5475,plain,
( e21 != op2(e22,e20)
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f1559,f2406]) ).
fof(f5476,plain,
( ~ spl0_97
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f5475,f1013,f1558]) ).
fof(f5477,plain,
( e11 = e10
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f2374,f862]) ).
fof(f5478,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f5477,f212]) ).
fof(f5479,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f5478]) ).
fof(f5480,plain,
$false,
inference(sat_refutation,[status(thm)],[f678,f691,f730,f743,f756,f769,f808,f821,f834,f860,f873,f875,f877,f878,f879,f880,f883,f884,f888,f889,f890,f892,f893,f894,f895,f899,f902,f903,f904,f905,f918,f957,f983,f996,f1048,f1061,f1074,f1113,f1116,f1118,f1120,f1122,f1123,f1124,f1126,f1128,f1132,f1134,f1135,f1142,f1144,f1145,f1150,f1152,f1154,f1158,f1165,f1187,f1189,f1191,f1195,f1202,f1438,f1515,f1525,f1541,f1553,f1565,f1577,f1605,f1625,f1629,f1649,f1669,f1705,f1713,f1725,f1726,f1729,f1730,f1734,f1739,f1743,f1744,f1747,f1753,f1757,f1762,f1783,f1803,f1812,f1821,f1822,f1823,f1824,f1825,f1826,f1830,f1831,f1832,f1833,f1834,f1835,f1839,f1841,f1842,f1843,f1848,f1851,f1852,f1857,f1878,f1899,f1900,f1902,f1904,f1908,f1909,f1910,f1913,f1917,f1919,f1921,f1926,f1928,f1929,f1935,f1936,f1939,f1944,f1945,f1946,f1953,f1954,f1974,f1975,f1995,f1999,f2004,f2013,f2014,f2017,f2022,f2023,f2024,f2026,f2027,f2028,f2030,f2032,f2033,f2034,f2036,f2038,f2039,f2049,f2056,f2063,f2067,f2073,f2076,f2079,f2097,f2119,f2149,f2161,f2171,f2174,f2177,f2186,f2189,f2192,f2195,f2198,f2204,f2207,f2210,f2213,f2219,f2222,f2225,f2231,f2234,f2237,f2240,f2243,f2246,f2261,f2267,f2273,f2276,f2282,f2303,f2318,f2324,f2327,f2333,f2342,f2348,f2351,f2360,f2363,f2366,f2369,f2434,f2465,f2469,f2474,f2481,f2491,f2507,f2513,f2516,f2533,f2549,f2564,f2569,f2576,f2578,f2580,f2587,f2589,f2593,f2603,f2609,f2615,f2617,f2631,f2646,f2649,f2664,f2683,f2687,f2691,f2702,f2710,f2720,f2737,f2752,f2773,f2775,f2810,f2815,f2818,f2822,f2824,f2827,f2842,f2848,f2854,f2878,f2884,f2886,f2903,f2912,f2914,f2938,f2948,f2950,f2956,f2963,f2966,f2973,f2974,f2978,f3022,f3026,f3031,f3052,f3061,f3066,f3068,f3073,f3100,f3103,f3105,f3107,f3111,f3119,f3125,f3150,f3158,f3165,f3188,f3196,f3243,f3250,f3256,f3259,f3260,f3271,f3275,f3286,f3313,f3328,f3334,f3353,f3376,f3420,f3425,f3444,f3451,f3472,f3486,f3533,f3540,f3550,f3584,f3600,f3604,f3616,f3666,f3669,f3673,f3680,f3711,f3726,f3777,f3784,f3787,f3790,f3793,f3819,f3825,f3860,f3889,f3894,f3897,f3951,f3952,f3986,f3996,f4037,f4060,f4077,f4086,f4090,f4115,f4207,f4216,f4281,f4310,f4318,f4333,f4367,f4431,f4448,f4513,f4626,f4630,f4750,f4759,f4790,f4801,f4808,f4812,f4819,f4843,f4847,f4856,f4863,f4920,f4923,f4947,f4951,f4977,f4982,f5012,f5068,f5115,f5122,f5128,f5135,f5142,f5155,f5182,f5203,f5204,f5249,f5279,f5330,f5334,f5368,f5438,f5448,f5464,f5467,f5476,f5479]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG120+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Apr 29 23:30:20 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 2.11/0.70 % Refutation found
% 2.11/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.11/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.11/0.71 % Elapsed time: 0.371493 seconds
% 2.11/0.71 % CPU time: 2.708834 seconds
% 2.11/0.71 % Total memory used: 59.029 MB
% 2.11/0.71 % Net memory used: 57.472 MB
%------------------------------------------------------------------------------