TSTP Solution File: ALG106+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG106+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:09:49 EDT 2024
% Result : Theorem 6.24s 1.19s
% Output : CNFRefutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 339
% Syntax : Number of formulae : 2087 ( 211 unt; 0 def)
% Number of atoms : 9727 (5951 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 13002 (5362 ~;4099 |;3219 &)
% ( 280 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 324 ( 322 usr; 323 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,op1(e10,e10)) = e10
| op1(e11,op1(e11,e10)) = e11
| op1(e12,op1(e12,e10)) = e12
| op1(e13,op1(e13,e10)) = e13 )
& ( op1(e10,op1(e10,e11)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e11)) = e12
| op1(e13,op1(e13,e11)) = e13 )
& ( op1(e10,op1(e10,e12)) = e10
| op1(e11,op1(e11,e12)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e12)) = e13 )
& ( op1(e10,op1(e10,e13)) = e10
| op1(e11,op1(e11,e13)) = e11
| op1(e12,op1(e12,e13)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e20)) = e21
| op2(e22,op2(e22,e20)) = e22
| op2(e23,op2(e23,e20)) = e23 )
& ( op2(e20,op2(e20,e21)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e21)) = e22
| op2(e23,op2(e23,e21)) = e23 )
& ( op2(e20,op2(e20,e22)) = e20
| op2(e21,op2(e21,e22)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e22)) = e23 )
& ( op2(e20,op2(e20,e23)) = e20
| op2(e21,op2(e21,e23)) = e21
| op2(e22,op2(e22,e23)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(op1(e13,op1(e13,e13)),e13)
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(op2(e23,op2(e23,e23)),e23)
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(e21,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,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(f22,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(f29,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f30,plain,
( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(f36,plain,
( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f37,plain,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f38,plain,
( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f44,plain,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f45,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f46,plain,
( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f47,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f48,plain,
( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f49,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f51,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f58,plain,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f60,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(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(f69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f72,plain,
( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f73,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f74,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f75,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f77,plain,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(f81,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f83,plain,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f84,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f87,plain,
( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f91,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f92,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f93,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f94,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f95,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f98,plain,
( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f102,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f104,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f108,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f113,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f114,plain,
( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f124,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f126,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f127,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f128,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f129,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f130,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f131,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f133,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f134,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f135,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f136,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != 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(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f170,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f171,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f172,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f173,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f174,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f175,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f176,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f177,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(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(f181,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f184,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f185,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f195,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f200,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f201,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != 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(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,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( ( op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e10)) = e11
| op1(e12,op1(e12,e10)) = e12
| op1(e13,op1(e13,e10)) = e13 )
& ( op1(e10,op1(e10,e11)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e11)) = e12
| op1(e13,op1(e13,e11)) = e13 )
& ( op1(e10,op1(e10,e12)) = e10
| op1(e11,op1(e11,e12)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e12)) = e13 )
& ( op1(e10,op1(e10,e13)) = e10
| op1(e11,op1(e11,e13)) = e11
| op1(e12,op1(e12,e13)) = e12
| op1(e13,op1(e13,e13)) = e13 )
& ( pd0_0
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f243,plain,
( op1(e10,op1(e10,e11)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e11)) = e12
| op1(e13,op1(e13,e11)) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f244,plain,
( op1(e10,op1(e10,e12)) = e10
| op1(e11,op1(e11,e12)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e13,op1(e13,e12)) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f245,plain,
( op1(e10,op1(e10,e13)) = e10
| op1(e11,op1(e11,e13)) = e11
| op1(e12,op1(e12,e13)) = e12
| op1(e13,op1(e13,e13)) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f246,plain,
( pd0_0
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f252,plain,
( pd0_1
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f253,plain,
( ( op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e20)) = e21
| op2(e22,op2(e22,e20)) = e22
| op2(e23,op2(e23,e20)) = e23 )
& ( op2(e20,op2(e20,e21)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e21)) = e22
| op2(e23,op2(e23,e21)) = e23 )
& ( op2(e20,op2(e20,e22)) = e20
| op2(e21,op2(e21,e22)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e22)) = e23 )
& ( op2(e20,op2(e20,e23)) = e20
| op2(e21,op2(e21,e23)) = e21
| op2(e22,op2(e22,e23)) = e22
| op2(e23,op2(e23,e23)) = e23 )
& ( pd0_1
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f11,f252]) ).
fof(f254,plain,
( op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e20)) = e21
| op2(e22,op2(e22,e20)) = e22
| op2(e23,op2(e23,e20)) = e23 ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f255,plain,
( op2(e20,op2(e20,e21)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e21)) = e22
| op2(e23,op2(e23,e21)) = e23 ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f256,plain,
( op2(e20,op2(e20,e22)) = e20
| op2(e21,op2(e21,e22)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e23,op2(e23,e22)) = e23 ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f257,plain,
( op2(e20,op2(e20,e23)) = e20
| op2(e21,op2(e21,e23)) = e21
| op2(e22,op2(e22,e23)) = e22
| op2(e23,op2(e23,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f258,plain,
( pd0_1
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f264,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f265,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f266,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f267,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f268,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f269,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f270,plain,
h1(e13) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f271,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f272,plain,
h1(e11) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f273,plain,
h1(e12) = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f274,plain,
h2(e13) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f275,plain,
h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f276,plain,
h2(e11) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f277,plain,
h2(e12) = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f278,plain,
h3(e13) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f279,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f280,plain,
h3(e11) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f281,plain,
h3(e12) = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f282,plain,
h4(e13) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f283,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f284,plain,
h4(e11) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f285,plain,
h4(e12) = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f286,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 )
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 )
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f287,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f288,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f289,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f290,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f291,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f292,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f293,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f294,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f295,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f296,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f286]) ).
fof(f297,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f286]) ).
fof(f298,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f286]) ).
fof(f299,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| pd0_2
| pd0_3
| pd0_4
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| pd0_11
| pd0_12
| pd0_13
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f286,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289,f288,f287]) ).
fof(f310,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_8
| pd0_9
| pd0_10
| h3(e12) != e23 ),
inference(cnf_transformation,[status(esa)],[f299]) ).
fof(f316,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f317,plain,
( pd0_14
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ) ),
introduced(predicate_definition,[f316]) ).
fof(f318,plain,
( ~ pd0_0
| pd0_14
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(formula_renaming,[status(thm)],[f316,f317]) ).
fof(f320,plain,
( ~ pd0_0
| pd0_14
| op1(e12,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f325,plain,
( ~ pd0_1
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f252]) ).
fof(f326,plain,
( pd0_15
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ) ),
introduced(predicate_definition,[f325]) ).
fof(f327,plain,
( ~ pd0_1
| pd0_15
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(formula_renaming,[status(thm)],[f325,f326]) ).
fof(f329,plain,
( ~ pd0_1
| pd0_15
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f327]) ).
fof(f334,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f287]) ).
fof(f338,plain,
( ~ pd0_2
| h1(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f334]) ).
fof(f339,plain,
( ~ pd0_3
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f288]) ).
fof(f341,plain,
( ~ pd0_3
| h1(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f339]) ).
fof(f354,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f291]) ).
fof(f358,plain,
( ~ pd0_6
| h2(e13) != e21 ),
inference(cnf_transformation,[status(esa)],[f354]) ).
fof(f364,plain,
( ~ pd0_8
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f293]) ).
fof(f365,plain,
( ~ pd0_8
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f364]) ).
fof(f369,plain,
( ~ pd0_9
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f294]) ).
fof(f371,plain,
( ~ pd0_9
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f374,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f295]) ).
fof(f378,plain,
( ~ pd0_10
| h3(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f379,plain,
( ~ pd0_11
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f296]) ).
fof(f380,plain,
( ~ pd0_11
| h4(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f379]) ).
fof(f384,plain,
( ~ pd0_12
| ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f386,plain,
( ~ pd0_12
| h4(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f384]) ).
fof(f389,plain,
( ~ pd0_13
| ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f298]) ).
fof(f392,plain,
( ~ pd0_13
| h4(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f389]) ).
fof(f394,plain,
( ~ pd0_14
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f317]) ).
fof(f395,plain,
( pd0_16
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ) ),
introduced(predicate_definition,[f394]) ).
fof(f396,plain,
( ~ pd0_14
| pd0_16
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(formula_renaming,[status(thm)],[f394,f395]) ).
fof(f397,plain,
( ~ pd0_14
| pd0_16
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f396]) ).
fof(f403,plain,
( ~ pd0_15
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f326]) ).
fof(f404,plain,
( pd0_17
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ) ),
introduced(predicate_definition,[f403]) ).
fof(f405,plain,
( ~ pd0_15
| pd0_17
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(formula_renaming,[status(thm)],[f403,f404]) ).
fof(f406,plain,
( ~ pd0_15
| pd0_17
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f405]) ).
fof(f412,plain,
( ~ pd0_16
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f395]) ).
fof(f413,plain,
( pd0_18
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ) ),
introduced(predicate_definition,[f412]) ).
fof(f414,plain,
( ~ pd0_16
| pd0_18
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(formula_renaming,[status(thm)],[f412,f413]) ).
fof(f415,plain,
( ~ pd0_16
| pd0_18
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f414]) ).
fof(f416,plain,
( ~ pd0_16
| pd0_18
| op1(e10,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f414]) ).
fof(f417,plain,
( ~ pd0_16
| pd0_18
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f414]) ).
fof(f418,plain,
( ~ pd0_16
| pd0_18
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f414]) ).
fof(f421,plain,
( ~ pd0_17
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f404]) ).
fof(f422,plain,
( pd0_19
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ) ),
introduced(predicate_definition,[f421]) ).
fof(f423,plain,
( ~ pd0_17
| pd0_19
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(formula_renaming,[status(thm)],[f421,f422]) ).
fof(f424,plain,
( ~ pd0_17
| pd0_19
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f425,plain,
( ~ pd0_17
| pd0_19
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f427,plain,
( ~ pd0_17
| pd0_19
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f423]) ).
fof(f430,plain,
( ~ pd0_18
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& 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(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f413]) ).
fof(f431,plain,
( pd0_20
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ) ),
introduced(predicate_definition,[f430]) ).
fof(f432,plain,
( ~ pd0_18
| pd0_20
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f430,f431]) ).
fof(f433,plain,
( ~ pd0_18
| pd0_20
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f432]) ).
fof(f439,plain,
( ~ pd0_19
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& 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(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f422]) ).
fof(f440,plain,
( pd0_21
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ) ),
introduced(predicate_definition,[f439]) ).
fof(f441,plain,
( ~ pd0_19
| pd0_21
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f439,f440]) ).
fof(f442,plain,
( ~ pd0_19
| pd0_21
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f441]) ).
fof(f448,plain,
( ~ pd0_20
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f431]) ).
fof(f449,plain,
( pd0_22
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ) ),
introduced(predicate_definition,[f448]) ).
fof(f450,plain,
( ~ pd0_20
| pd0_22
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(formula_renaming,[status(thm)],[f448,f449]) ).
fof(f451,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f453,plain,
( ~ pd0_20
| pd0_22
| op1(e10,e10) != e12 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f455,plain,
( ~ pd0_20
| pd0_22
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f457,plain,
( ~ pd0_21
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f440]) ).
fof(f458,plain,
( pd0_23
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ) ),
introduced(predicate_definition,[f457]) ).
fof(f459,plain,
( ~ pd0_21
| pd0_23
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(formula_renaming,[status(thm)],[f457,f458]) ).
fof(f460,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f464,plain,
( ~ pd0_21
| pd0_23
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f459]) ).
fof(f466,plain,
( ~ pd0_22
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f449]) ).
fof(f467,plain,
( pd0_24
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ) ),
introduced(predicate_definition,[f466]) ).
fof(f468,plain,
( ~ pd0_22
| pd0_24
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(formula_renaming,[status(thm)],[f466,f467]) ).
fof(f469,plain,
( ~ pd0_22
| pd0_24
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f468]) ).
fof(f475,plain,
( ~ pd0_23
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f458]) ).
fof(f476,plain,
( pd0_25
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ) ),
introduced(predicate_definition,[f475]) ).
fof(f477,plain,
( ~ pd0_23
| pd0_25
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(formula_renaming,[status(thm)],[f475,f476]) ).
fof(f478,plain,
( ~ pd0_23
| pd0_25
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f484,plain,
( ~ pd0_24
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f467]) ).
fof(f485,plain,
( pd0_26
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ) ),
introduced(predicate_definition,[f484]) ).
fof(f486,plain,
( ~ pd0_24
| pd0_26
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(formula_renaming,[status(thm)],[f484,f485]) ).
fof(f487,plain,
( ~ pd0_24
| pd0_26
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f488,plain,
( ~ pd0_24
| pd0_26
| op1(e10,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f489,plain,
( ~ pd0_24
| pd0_26
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f490,plain,
( ~ pd0_24
| pd0_26
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f486]) ).
fof(f493,plain,
( ~ pd0_25
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f476]) ).
fof(f494,plain,
( pd0_27
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ) ),
introduced(predicate_definition,[f493]) ).
fof(f495,plain,
( ~ pd0_25
| pd0_27
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(formula_renaming,[status(thm)],[f493,f494]) ).
fof(f496,plain,
( ~ pd0_25
| pd0_27
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f497,plain,
( ~ pd0_25
| pd0_27
| op2(e20,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f499,plain,
( ~ pd0_25
| pd0_27
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f502,plain,
( ~ pd0_26
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f485]) ).
fof(f503,plain,
( pd0_28
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ) ),
introduced(predicate_definition,[f502]) ).
fof(f504,plain,
( ~ pd0_26
| pd0_28
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f502,f503]) ).
fof(f505,plain,
( ~ pd0_26
| pd0_28
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f504]) ).
fof(f511,plain,
( ~ pd0_27
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f494]) ).
fof(f512,plain,
( pd0_29
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ) ),
introduced(predicate_definition,[f511]) ).
fof(f513,plain,
( ~ pd0_27
| pd0_29
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f511,f512]) ).
fof(f514,plain,
( ~ pd0_27
| pd0_29
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f513]) ).
fof(f520,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& 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(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f503]) ).
fof(f521,plain,
( pd0_30
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ) ),
introduced(predicate_definition,[f520]) ).
fof(f522,plain,
( ~ pd0_28
| pd0_30
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(formula_renaming,[status(thm)],[f520,f521]) ).
fof(f523,plain,
( ~ pd0_28
| pd0_30
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f524,plain,
( ~ pd0_28
| pd0_30
| op1(e12,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f527,plain,
( ~ pd0_28
| pd0_30
| op1(e12,e12) != e12 ),
inference(cnf_transformation,[status(esa)],[f522]) ).
fof(f529,plain,
( ~ pd0_29
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& 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(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f512]) ).
fof(f530,plain,
( pd0_31
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ) ),
introduced(predicate_definition,[f529]) ).
fof(f531,plain,
( ~ pd0_29
| pd0_31
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(formula_renaming,[status(thm)],[f529,f530]) ).
fof(f532,plain,
( ~ pd0_29
| pd0_31
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f533,plain,
( ~ pd0_29
| pd0_31
| op2(e22,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f536,plain,
( ~ pd0_29
| pd0_31
| op2(e22,e22) != e22 ),
inference(cnf_transformation,[status(esa)],[f531]) ).
fof(f538,plain,
( ~ pd0_30
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f521]) ).
fof(f539,plain,
( pd0_32
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ) ),
introduced(predicate_definition,[f538]) ).
fof(f540,plain,
( ~ pd0_30
| pd0_32
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(formula_renaming,[status(thm)],[f538,f539]) ).
fof(f541,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f543,plain,
( ~ pd0_30
| pd0_32
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f544,plain,
( ~ pd0_30
| pd0_32
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f546,plain,
( ~ pd0_30
| pd0_32
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f540]) ).
fof(f547,plain,
( ~ pd0_31
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f530]) ).
fof(f548,plain,
( pd0_33
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ) ),
introduced(predicate_definition,[f547]) ).
fof(f549,plain,
( ~ pd0_31
| pd0_33
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(formula_renaming,[status(thm)],[f547,f548]) ).
fof(f554,plain,
( ~ pd0_31
| pd0_33
| op2(e22,e22) != e21 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f555,plain,
( ~ pd0_31
| pd0_33
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[status(esa)],[f549]) ).
fof(f556,plain,
( ~ pd0_32
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f539]) ).
fof(f557,plain,
( pd0_34
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ) ),
introduced(predicate_definition,[f556]) ).
fof(f558,plain,
( ~ pd0_32
| pd0_34
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(formula_renaming,[status(thm)],[f556,f557]) ).
fof(f559,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f558]) ).
fof(f560,plain,
( ~ pd0_32
| pd0_34
| op1(e10,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f558]) ).
fof(f562,plain,
( ~ pd0_32
| pd0_34
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f558]) ).
fof(f565,plain,
( ~ pd0_33
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f548]) ).
fof(f566,plain,
( pd0_35
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ) ),
introduced(predicate_definition,[f565]) ).
fof(f567,plain,
( ~ pd0_33
| pd0_35
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(formula_renaming,[status(thm)],[f565,f566]) ).
fof(f568,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f567]) ).
fof(f569,plain,
( ~ pd0_33
| pd0_35
| op2(e20,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f567]) ).
fof(f571,plain,
( ~ pd0_33
| pd0_35
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f567]) ).
fof(f574,plain,
( ~ pd0_34
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f557]) ).
fof(f575,plain,
( pd0_36
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ) ),
introduced(predicate_definition,[f574]) ).
fof(f576,plain,
( ~ pd0_34
| pd0_36
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e13
& op1(e11,e11) != e13
& op1(e12,e12) != e13
& op1(e13,e13) != e13 ) ),
inference(formula_renaming,[status(thm)],[f574,f575]) ).
fof(f577,plain,
( ~ pd0_34
| pd0_36
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f576]) ).
fof(f583,plain,
( ~ pd0_35
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f566]) ).
fof(f584,plain,
( pd0_37
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ) ),
introduced(predicate_definition,[f583]) ).
fof(f585,plain,
( ~ pd0_35
| pd0_37
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e23
& op2(e21,e21) != e23
& op2(e22,e22) != e23
& op2(e23,e23) != e23 ) ),
inference(formula_renaming,[status(thm)],[f583,f584]) ).
fof(f586,plain,
( ~ pd0_35
| pd0_37
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f585]) ).
fof(f587,plain,
( ~ pd0_35
| pd0_37
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f585]) ).
fof(f588,plain,
( ~ pd0_35
| pd0_37
| op2(e20,e20) != e23 ),
inference(cnf_transformation,[status(esa)],[f585]) ).
fof(f592,plain,
( ~ pd0_36
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f575]) ).
fof(f593,plain,
( pd0_38
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ) ),
introduced(predicate_definition,[f592]) ).
fof(f594,plain,
( ~ pd0_36
| pd0_38
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e12
& op1(e11,e11) != e12
& op1(e12,e12) != e12
& op1(e13,e13) != e12 ) ),
inference(formula_renaming,[status(thm)],[f592,f593]) ).
fof(f595,plain,
( ~ pd0_36
| pd0_38
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f596,plain,
( ~ pd0_36
| pd0_38
| op1(e12,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f601,plain,
( ~ pd0_37
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f584]) ).
fof(f602,plain,
( pd0_39
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ) ),
introduced(predicate_definition,[f601]) ).
fof(f603,plain,
( ~ pd0_37
| pd0_39
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e22
& op2(e21,e21) != e22
& op2(e22,e22) != e22
& op2(e23,e23) != e22 ) ),
inference(formula_renaming,[status(thm)],[f601,f602]) ).
fof(f605,plain,
( ~ pd0_37
| pd0_39
| op2(e22,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f610,plain,
( ~ pd0_38
| ( op1(e10,e10) = e10
& 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(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f593]) ).
fof(f611,plain,
( pd0_40
=> ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
introduced(predicate_definition,[f610]) ).
fof(f612,plain,
( ~ pd0_38
| pd0_40
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e11
& op1(e11,e11) != e11
& op1(e12,e12) != e11
& op1(e13,e13) != e11 ) ),
inference(formula_renaming,[status(thm)],[f610,f611]) ).
fof(f614,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f615,plain,
( ~ pd0_38
| pd0_40
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f616,plain,
( ~ pd0_38
| pd0_40
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f618,plain,
( ~ pd0_38
| pd0_40
| op1(e13,e13) != e11 ),
inference(cnf_transformation,[status(esa)],[f612]) ).
fof(f619,plain,
( ~ pd0_39
| ( op2(e20,e20) = e20
& 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(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f602]) ).
fof(f620,plain,
( pd0_41
=> ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
introduced(predicate_definition,[f619]) ).
fof(f621,plain,
( ~ pd0_39
| pd0_41
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e21
& op2(e21,e21) != e21
& op2(e22,e22) != e21
& op2(e23,e23) != e21 ) ),
inference(formula_renaming,[status(thm)],[f619,f620]) ).
fof(f622,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f623,plain,
( ~ pd0_39
| pd0_41
| op2(e21,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f624,plain,
( ~ pd0_39
| pd0_41
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f625,plain,
( ~ pd0_39
| pd0_41
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f627,plain,
( ~ pd0_39
| pd0_41
| op2(e23,e23) != e21 ),
inference(cnf_transformation,[status(esa)],[f621]) ).
fof(f628,plain,
( ~ pd0_40
| ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e11) != e10
& op1(e12,e12) != e10
& op1(e13,e13) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f611]) ).
fof(f629,plain,
( ~ pd0_40
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f628]) ).
fof(f631,plain,
( ~ pd0_40
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f628]) ).
fof(f632,plain,
( ~ pd0_40
| op1(e11,e11) != e10 ),
inference(cnf_transformation,[status(esa)],[f628]) ).
fof(f635,plain,
( ~ pd0_41
| ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e21) != e20
& op2(e22,e22) != e20
& op2(e23,e23) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f620]) ).
fof(f636,plain,
( ~ pd0_41
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f635]) ).
fof(f638,plain,
( ~ pd0_41
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f635]) ).
fof(f639,plain,
( ~ pd0_41
| op2(e21,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f635]) ).
fof(f642,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f654,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f20,f642,f645,f648,f651]) ).
fof(f655,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f656,plain,
( op1(e10,e11) = e10
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f658,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f668,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op1(e10,e12) = e13
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f22,f668,f671,f674,f677]) ).
fof(f681,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f684,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f684]) ).
fof(f687,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f690,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f693,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f23,f681,f684,f687,f690]) ).
fof(f694,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f695,plain,
( op1(e11,e10) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f697,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f698,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f700,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f706,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f24,f694,f697,f700,f703]) ).
fof(f707,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( op1(e11,e11) = e12
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f713]) ).
fof(f716,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f707,f710,f713,f716]) ).
fof(f720,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f26,f720,f723,f726,f729]) ).
fof(f733,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f733,f736,f739,f742]) ).
fof(f746,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f759,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f760,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f759]) ).
fof(f762,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f29,f759,f762,f765,f768]) ).
fof(f772,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f772,f775,f778,f781]) ).
fof(f785,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f798,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f32,f798,f801,f804,f807]) ).
fof(f811,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f820,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f824,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f824,f827,f830,f833]) ).
fof(f837,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f837,f840,f843,f846]) ).
fof(f850,plain,
( spl0_0
| spl0_4
| spl0_8
| spl0_12 ),
inference(split_clause,[status(thm)],[f36,f642,f655,f668,f681]) ).
fof(f851,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f642,f694,f746,f798]) ).
fof(f852,plain,
( spl0_1
| spl0_5
| spl0_9
| spl0_13 ),
inference(split_clause,[status(thm)],[f38,f645,f658,f671,f684]) ).
fof(f853,plain,
( spl0_1
| spl0_17
| spl0_33
| spl0_49 ),
inference(split_clause,[status(thm)],[f39,f645,f697,f749,f801]) ).
fof(f854,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f40,f648,f661,f674,f687]) ).
fof(f855,plain,
( spl0_2
| spl0_18
| spl0_34
| spl0_50 ),
inference(split_clause,[status(thm)],[f41,f648,f700,f752,f804]) ).
fof(f856,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f651,f664,f677,f690]) ).
fof(f858,plain,
( spl0_16
| spl0_20
| spl0_24
| spl0_28 ),
inference(split_clause,[status(thm)],[f44,f694,f707,f720,f733]) ).
fof(f859,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f45,f655,f707,f759,f811]) ).
fof(f860,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f46,f697,f710,f723,f736]) ).
fof(f861,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f658,f710,f762,f814]) ).
fof(f862,plain,
( spl0_18
| spl0_22
| spl0_26
| spl0_30 ),
inference(split_clause,[status(thm)],[f48,f700,f713,f726,f739]) ).
fof(f863,plain,
( spl0_6
| spl0_22
| spl0_38
| spl0_54 ),
inference(split_clause,[status(thm)],[f49,f661,f713,f765,f817]) ).
fof(f865,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f664,f716,f768,f820]) ).
fof(f868,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f749,f762,f775,f788]) ).
fof(f869,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f671,f723,f775,f827]) ).
fof(f870,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f752,f765,f778,f791]) ).
fof(f871,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f674,f726,f778,f830]) ).
fof(f872,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f755,f768,f781,f794]) ).
fof(f874,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f60,f798,f811,f824,f837]) ).
fof(f875,plain,
( spl0_12
| spl0_28
| spl0_44
| spl0_60 ),
inference(split_clause,[status(thm)],[f61,f681,f733,f785,f837]) ).
fof(f880,plain,
( spl0_51
| spl0_55
| spl0_59
| spl0_63 ),
inference(split_clause,[status(thm)],[f66,f807,f820,f833,f846]) ).
fof(f882,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f883,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f889,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f888]) ).
fof(f891,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f895,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f896,plain,
( op2(e20,e21) = e20
| ~ spl0_68 ),
inference(component_clause,[status(thm)],[f895]) ).
fof(f898,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f899,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f902,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f901]) ).
fof(f904,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f69,f895,f898,f901,f904]) ).
fof(f908,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f914,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f915,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f914]) ).
fof(f917,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f921,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f922,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f921]) ).
fof(f924,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f925,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f924]) ).
fof(f927,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f928,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f927]) ).
fof(f930,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f931,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f934,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f935,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f934]) ).
fof(f937,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f938,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f941,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f944,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f943]) ).
fof(f946,plain,
( spl0_80
| spl0_81
| spl0_82
| spl0_83 ),
inference(split_clause,[status(thm)],[f72,f934,f937,f940,f943]) ).
fof(f947,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f950,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f951,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f950]) ).
fof(f953,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f954,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f957,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87 ),
inference(split_clause,[status(thm)],[f73,f947,f950,f953,f956]) ).
fof(f960,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f967,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f970,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f969]) ).
fof(f972,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f960,f963,f966,f969]) ).
fof(f973,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f974,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f973]) ).
fof(f976,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f977,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f976]) ).
fof(f979,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f979]) ).
fof(f982,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f983,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f982]) ).
fof(f985,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f973,f976,f979,f982]) ).
fof(f986,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f987,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f992,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f993,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f992]) ).
fof(f995,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f999,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1003,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1006,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1009,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f77,f999,f1002,f1005,f1008]) ).
fof(f1012,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1015,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f1015]) ).
fof(f1018,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1025,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1026,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1029,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f1028]) ).
fof(f1031,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1032,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f1031]) ).
fof(f1034,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1035,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111 ),
inference(split_clause,[status(thm)],[f79,f1025,f1028,f1031,f1034]) ).
fof(f1038,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f1039,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f1042,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f1041]) ).
fof(f1044,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f1045,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f1044]) ).
fof(f1047,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f1048,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1051,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f1052,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f1055,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f1054]) ).
fof(f1057,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f1060,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f1061,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f1060]) ).
fof(f1063,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f1051,f1054,f1057,f1060]) ).
fof(f1064,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f1065,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f1071,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f1070]) ).
fof(f1073,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f1074,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f1073]) ).
fof(f1077,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f1078,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f1077]) ).
fof(f1080,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f1083,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f1084,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f1083]) ).
fof(f1086,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f1087,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f1086]) ).
fof(f1089,plain,
( spl0_124
| spl0_125
| spl0_126
| spl0_127 ),
inference(split_clause,[status(thm)],[f83,f1077,f1080,f1083,f1086]) ).
fof(f1090,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f882,f895,f908,f921]) ).
fof(f1092,plain,
( spl0_65
| spl0_69
| spl0_73
| spl0_77 ),
inference(split_clause,[status(thm)],[f86,f885,f898,f911,f924]) ).
fof(f1093,plain,
( spl0_65
| spl0_81
| spl0_97
| spl0_113 ),
inference(split_clause,[status(thm)],[f87,f885,f937,f989,f1041]) ).
fof(f1094,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f88,f888,f901,f914,f927]) ).
fof(f1096,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f891,f904,f917,f930]) ).
fof(f1097,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f891,f943,f995,f1047]) ).
fof(f1098,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f934,f947,f960,f973]) ).
fof(f1099,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f895,f947,f999,f1051]) ).
fof(f1100,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f937,f950,f963,f976]) ).
fof(f1101,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f898,f950,f1002,f1054]) ).
fof(f1102,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f940,f953,f966,f979]) ).
fof(f1104,plain,
( spl0_83
| spl0_87
| spl0_91
| spl0_95 ),
inference(split_clause,[status(thm)],[f98,f943,f956,f969,f982]) ).
fof(f1108,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f102,f989,f1002,f1015,f1028]) ).
fof(f1110,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f992,f1005,f1018,f1031]) ).
fof(f1111,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f914,f966,f1018,f1070]) ).
fof(f1112,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f995,f1008,f1021,f1034]) ).
fof(f1114,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f1038,f1051,f1064,f1077]) ).
fof(f1119,plain,
( spl0_78
| spl0_94
| spl0_110
| spl0_126 ),
inference(split_clause,[status(thm)],[f113,f927,f979,f1031,f1083]) ).
fof(f1120,plain,
( spl0_115
| spl0_119
| spl0_123
| spl0_127 ),
inference(split_clause,[status(thm)],[f114,f1047,f1060,f1073,f1086]) ).
fof(f1121,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f930,f982,f1034,f1086]) ).
fof(f1125,plain,
( spl0_129
<=> op1(e11,op1(e11,e10)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1126,plain,
( op1(e11,op1(e11,e10)) = e11
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f1125]) ).
fof(f1128,plain,
( spl0_130
<=> op1(e12,op1(e12,e10)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1129,plain,
( op1(e12,op1(e12,e10)) = e12
| ~ spl0_130 ),
inference(component_clause,[status(thm)],[f1128]) ).
fof(f1131,plain,
( spl0_131
<=> op1(e13,op1(e13,e10)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1132,plain,
( op1(e13,op1(e13,e10)) = e13
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1135,plain,
( spl0_132
<=> op1(e10,op1(e10,e11)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1136,plain,
( op1(e10,op1(e10,e11)) = e10
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1138,plain,
( spl0_133
<=> op1(e11,op1(e11,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1139,plain,
( op1(e11,op1(e11,e11)) = e11
| ~ spl0_133 ),
inference(component_clause,[status(thm)],[f1138]) ).
fof(f1141,plain,
( spl0_134
<=> op1(e12,op1(e12,e11)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1142,plain,
( op1(e12,op1(e12,e11)) = e12
| ~ spl0_134 ),
inference(component_clause,[status(thm)],[f1141]) ).
fof(f1144,plain,
( spl0_135
<=> op1(e13,op1(e13,e11)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1145,plain,
( op1(e13,op1(e13,e11)) = e13
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1146,plain,
( op1(e13,op1(e13,e11)) != e13
| spl0_135 ),
inference(component_clause,[status(thm)],[f1144]) ).
fof(f1147,plain,
( spl0_132
| spl0_133
| spl0_134
| spl0_135 ),
inference(split_clause,[status(thm)],[f243,f1135,f1138,f1141,f1144]) ).
fof(f1148,plain,
( spl0_136
<=> op1(e10,op1(e10,e12)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1149,plain,
( op1(e10,op1(e10,e12)) = e10
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( spl0_137
<=> op1(e11,op1(e11,e12)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1152,plain,
( op1(e11,op1(e11,e12)) = e11
| ~ spl0_137 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( spl0_138
<=> op1(e12,op1(e12,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1155,plain,
( op1(e12,op1(e12,e12)) = e12
| ~ spl0_138 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( spl0_139
<=> op1(e13,op1(e13,e12)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1158,plain,
( op1(e13,op1(e13,e12)) = e13
| ~ spl0_139 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( spl0_136
| spl0_137
| spl0_138
| spl0_139 ),
inference(split_clause,[status(thm)],[f244,f1148,f1151,f1154,f1157]) ).
fof(f1161,plain,
( spl0_140
<=> op1(e10,op1(e10,e13)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( op1(e10,op1(e10,e13)) = e10
| ~ spl0_140 ),
inference(component_clause,[status(thm)],[f1161]) ).
fof(f1164,plain,
( spl0_141
<=> op1(e11,op1(e11,e13)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1165,plain,
( op1(e11,op1(e11,e13)) = e11
| ~ spl0_141 ),
inference(component_clause,[status(thm)],[f1164]) ).
fof(f1167,plain,
( spl0_142
<=> op1(e12,op1(e12,e13)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( op1(e12,op1(e12,e13)) = e12
| ~ spl0_142 ),
inference(component_clause,[status(thm)],[f1167]) ).
fof(f1170,plain,
( spl0_143
<=> op1(e13,op1(e13,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( op1(e13,op1(e13,e13)) = e13
| ~ spl0_143 ),
inference(component_clause,[status(thm)],[f1170]) ).
fof(f1173,plain,
( spl0_140
| spl0_141
| spl0_142
| spl0_143 ),
inference(split_clause,[status(thm)],[f245,f1161,f1164,f1167,f1170]) ).
fof(f1174,plain,
( spl0_144
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f1177,plain,
( spl0_144
| spl0_63 ),
inference(split_clause,[status(thm)],[f246,f1174,f846]) ).
fof(f1183,plain,
( spl0_145
<=> op2(e20,op2(e20,e20)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1184,plain,
( op2(e20,op2(e20,e20)) = e20
| ~ spl0_145 ),
inference(component_clause,[status(thm)],[f1183]) ).
fof(f1186,plain,
( spl0_146
<=> op2(e21,op2(e21,e20)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1187,plain,
( op2(e21,op2(e21,e20)) = e21
| ~ spl0_146 ),
inference(component_clause,[status(thm)],[f1186]) ).
fof(f1189,plain,
( spl0_147
<=> op2(e22,op2(e22,e20)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1190,plain,
( op2(e22,op2(e22,e20)) = e22
| ~ spl0_147 ),
inference(component_clause,[status(thm)],[f1189]) ).
fof(f1192,plain,
( spl0_148
<=> op2(e23,op2(e23,e20)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1193,plain,
( op2(e23,op2(e23,e20)) = e23
| ~ spl0_148 ),
inference(component_clause,[status(thm)],[f1192]) ).
fof(f1195,plain,
( spl0_145
| spl0_146
| spl0_147
| spl0_148 ),
inference(split_clause,[status(thm)],[f254,f1183,f1186,f1189,f1192]) ).
fof(f1196,plain,
( spl0_149
<=> op2(e20,op2(e20,e21)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1197,plain,
( op2(e20,op2(e20,e21)) = e20
| ~ spl0_149 ),
inference(component_clause,[status(thm)],[f1196]) ).
fof(f1199,plain,
( spl0_150
<=> op2(e21,op2(e21,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1200,plain,
( op2(e21,op2(e21,e21)) = e21
| ~ spl0_150 ),
inference(component_clause,[status(thm)],[f1199]) ).
fof(f1202,plain,
( spl0_151
<=> op2(e22,op2(e22,e21)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1203,plain,
( op2(e22,op2(e22,e21)) = e22
| ~ spl0_151 ),
inference(component_clause,[status(thm)],[f1202]) ).
fof(f1205,plain,
( spl0_152
<=> op2(e23,op2(e23,e21)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1206,plain,
( op2(e23,op2(e23,e21)) = e23
| ~ spl0_152 ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1207,plain,
( op2(e23,op2(e23,e21)) != e23
| spl0_152 ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( spl0_149
| spl0_150
| spl0_151
| spl0_152 ),
inference(split_clause,[status(thm)],[f255,f1196,f1199,f1202,f1205]) ).
fof(f1209,plain,
( spl0_153
<=> op2(e20,op2(e20,e22)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1210,plain,
( op2(e20,op2(e20,e22)) = e20
| ~ spl0_153 ),
inference(component_clause,[status(thm)],[f1209]) ).
fof(f1212,plain,
( spl0_154
<=> op2(e21,op2(e21,e22)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1213,plain,
( op2(e21,op2(e21,e22)) = e21
| ~ spl0_154 ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( spl0_155
<=> op2(e22,op2(e22,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( op2(e22,op2(e22,e22)) = e22
| ~ spl0_155 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( spl0_156
<=> op2(e23,op2(e23,e22)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1219,plain,
( op2(e23,op2(e23,e22)) = e23
| ~ spl0_156 ),
inference(component_clause,[status(thm)],[f1218]) ).
fof(f1221,plain,
( spl0_153
| spl0_154
| spl0_155
| spl0_156 ),
inference(split_clause,[status(thm)],[f256,f1209,f1212,f1215,f1218]) ).
fof(f1222,plain,
( spl0_157
<=> op2(e20,op2(e20,e23)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1223,plain,
( op2(e20,op2(e20,e23)) = e20
| ~ spl0_157 ),
inference(component_clause,[status(thm)],[f1222]) ).
fof(f1225,plain,
( spl0_158
<=> op2(e21,op2(e21,e23)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1226,plain,
( op2(e21,op2(e21,e23)) = e21
| ~ spl0_158 ),
inference(component_clause,[status(thm)],[f1225]) ).
fof(f1228,plain,
( spl0_159
<=> op2(e22,op2(e22,e23)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1229,plain,
( op2(e22,op2(e22,e23)) = e22
| ~ spl0_159 ),
inference(component_clause,[status(thm)],[f1228]) ).
fof(f1231,plain,
( spl0_160
<=> op2(e23,op2(e23,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1232,plain,
( op2(e23,op2(e23,e23)) = e23
| ~ spl0_160 ),
inference(component_clause,[status(thm)],[f1231]) ).
fof(f1234,plain,
( spl0_157
| spl0_158
| spl0_159
| spl0_160 ),
inference(split_clause,[status(thm)],[f257,f1222,f1225,f1228,f1231]) ).
fof(f1235,plain,
( spl0_161
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f1238,plain,
( spl0_161
| spl0_127 ),
inference(split_clause,[status(thm)],[f258,f1235,f1086]) ).
fof(f1244,plain,
( spl0_162
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1246,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1244]) ).
fof(f1247,plain,
( spl0_163
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1249,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl0_163 ),
inference(component_clause,[status(thm)],[f1247]) ).
fof(f1250,plain,
( spl0_164
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1252,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1250]) ).
fof(f1253,plain,
( spl0_165
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1255,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1253]) ).
fof(f1256,plain,
( spl0_166
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1258,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1259,plain,
( spl0_167
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1260,plain,
( h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
| ~ spl0_167 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1261,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1259]) ).
fof(f1265,plain,
( spl0_169
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1267,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1265]) ).
fof(f1268,plain,
( spl0_170
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1270,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1268]) ).
fof(f1271,plain,
( spl0_171
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1273,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1271]) ).
fof(f1274,plain,
( spl0_172
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1276,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_172 ),
inference(component_clause,[status(thm)],[f1274]) ).
fof(f1277,plain,
( spl0_173
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1279,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl0_173 ),
inference(component_clause,[status(thm)],[f1277]) ).
fof(f1280,plain,
( spl0_174
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(split_symbol_definition) ).
fof(f1282,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1280]) ).
fof(f1283,plain,
( spl0_175
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f1285,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl0_175 ),
inference(component_clause,[status(thm)],[f1283]) ).
fof(f1286,plain,
( spl0_176
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1288,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl0_176 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1289,plain,
( spl0_177
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1291,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_177 ),
inference(component_clause,[status(thm)],[f1289]) ).
fof(f1292,plain,
( spl0_178
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f1295,plain,
( spl0_179
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f1305,plain,
( spl0_182
<=> h1(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1307,plain,
( h1(e11) != e23
| spl0_182 ),
inference(component_clause,[status(thm)],[f1305]) ).
fof(f1317,plain,
( spl0_185
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1319,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1317]) ).
fof(f1320,plain,
( spl0_186
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1322,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1320]) ).
fof(f1323,plain,
( spl0_187
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1325,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1323]) ).
fof(f1326,plain,
( spl0_188
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1328,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1326]) ).
fof(f1329,plain,
( spl0_189
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1331,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1329]) ).
fof(f1332,plain,
( spl0_190
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1334,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1332]) ).
fof(f1335,plain,
( spl0_191
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1337,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1335]) ).
fof(f1338,plain,
( spl0_192
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1340,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( spl0_193
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1343,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1341]) ).
fof(f1344,plain,
( spl0_194
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1346,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_194 ),
inference(component_clause,[status(thm)],[f1344]) ).
fof(f1347,plain,
( spl0_195
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1349,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_195 ),
inference(component_clause,[status(thm)],[f1347]) ).
fof(f1350,plain,
( spl0_196
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1352,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_196 ),
inference(component_clause,[status(thm)],[f1350]) ).
fof(f1353,plain,
( spl0_197
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1355,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_197 ),
inference(component_clause,[status(thm)],[f1353]) ).
fof(f1356,plain,
( spl0_198
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1358,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1356]) ).
fof(f1359,plain,
( spl0_199
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1361,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1359]) ).
fof(f1362,plain,
( spl0_200
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1364,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_200 ),
inference(component_clause,[status(thm)],[f1362]) ).
fof(f1368,plain,
( spl0_202
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1378,plain,
( spl0_205
<=> h2(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( h2(e11) = e23
| ~ spl0_205 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( h2(e11) != e23
| spl0_205 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1390,plain,
( spl0_208
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1392,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_208 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1393,plain,
( spl0_209
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1395,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_209 ),
inference(component_clause,[status(thm)],[f1393]) ).
fof(f1396,plain,
( spl0_210
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1398,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_210 ),
inference(component_clause,[status(thm)],[f1396]) ).
fof(f1399,plain,
( spl0_211
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1401,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1399]) ).
fof(f1402,plain,
( spl0_212
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1404,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1402]) ).
fof(f1405,plain,
( spl0_213
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1406,plain,
( h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
| ~ spl0_213 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1407,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_213 ),
inference(component_clause,[status(thm)],[f1405]) ).
fof(f1408,plain,
( spl0_214
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1410,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_214 ),
inference(component_clause,[status(thm)],[f1408]) ).
fof(f1411,plain,
( spl0_215
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1413,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1411]) ).
fof(f1414,plain,
( spl0_216
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1416,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1414]) ).
fof(f1417,plain,
( spl0_217
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1419,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_217 ),
inference(component_clause,[status(thm)],[f1417]) ).
fof(f1420,plain,
( spl0_218
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1422,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_218 ),
inference(component_clause,[status(thm)],[f1420]) ).
fof(f1423,plain,
( spl0_219
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1425,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_219 ),
inference(component_clause,[status(thm)],[f1423]) ).
fof(f1426,plain,
( spl0_220
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1428,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1429,plain,
( spl0_221
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1431,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_221 ),
inference(component_clause,[status(thm)],[f1429]) ).
fof(f1432,plain,
( spl0_222
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1434,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_222 ),
inference(component_clause,[status(thm)],[f1432]) ).
fof(f1435,plain,
( spl0_223
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1437,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_223 ),
inference(component_clause,[status(thm)],[f1435]) ).
fof(f1438,plain,
( spl0_224
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1441,plain,
( spl0_225
<=> pd0_9 ),
introduced(split_symbol_definition) ).
fof(f1444,plain,
( spl0_226
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1451,plain,
( spl0_228
<=> h3(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1453,plain,
( h3(e11) != e23
| spl0_228 ),
inference(component_clause,[status(thm)],[f1451]) ).
fof(f1455,plain,
( spl0_229
<=> h3(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1457,plain,
( h3(e12) != e23
| spl0_229 ),
inference(component_clause,[status(thm)],[f1455]) ).
fof(f1458,plain,
( ~ spl0_208
| ~ spl0_209
| ~ spl0_210
| ~ spl0_211
| ~ spl0_212
| ~ spl0_213
| ~ spl0_214
| ~ spl0_215
| ~ spl0_216
| ~ spl0_217
| ~ spl0_218
| ~ spl0_219
| ~ spl0_220
| ~ spl0_221
| ~ spl0_222
| ~ spl0_223
| spl0_224
| spl0_225
| spl0_226
| ~ spl0_229 ),
inference(split_clause,[status(thm)],[f310,f1390,f1393,f1396,f1399,f1402,f1405,f1408,f1411,f1414,f1417,f1420,f1423,f1426,f1429,f1432,f1435,f1438,f1441,f1444,f1455]) ).
fof(f1463,plain,
( spl0_231
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl0_231 ),
inference(component_clause,[status(thm)],[f1463]) ).
fof(f1466,plain,
( spl0_232
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1467,plain,
( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
| ~ spl0_232 ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1468,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl0_232 ),
inference(component_clause,[status(thm)],[f1466]) ).
fof(f1475,plain,
( spl0_235
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1476,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl0_235 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1477,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_235 ),
inference(component_clause,[status(thm)],[f1475]) ).
fof(f1478,plain,
( spl0_236
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1480,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_236 ),
inference(component_clause,[status(thm)],[f1478]) ).
fof(f1487,plain,
( spl0_239
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1488,plain,
( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1489,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl0_239 ),
inference(component_clause,[status(thm)],[f1487]) ).
fof(f1490,plain,
( spl0_240
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1492,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_240 ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( spl0_241
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1495,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_241 ),
inference(component_clause,[status(thm)],[f1493]) ).
fof(f1496,plain,
( spl0_242
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1498,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl0_242 ),
inference(component_clause,[status(thm)],[f1496]) ).
fof(f1499,plain,
( spl0_243
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1501,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl0_243 ),
inference(component_clause,[status(thm)],[f1499]) ).
fof(f1502,plain,
( spl0_244
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1504,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl0_244 ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1505,plain,
( spl0_245
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1507,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl0_245 ),
inference(component_clause,[status(thm)],[f1505]) ).
fof(f1508,plain,
( spl0_246
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1510,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_246 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( spl0_247
<=> pd0_11 ),
introduced(split_symbol_definition) ).
fof(f1514,plain,
( spl0_248
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1517,plain,
( spl0_249
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1532,plain,
( spl0_253
<=> h4(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1534,plain,
( h4(e13) != e23
| spl0_253 ),
inference(component_clause,[status(thm)],[f1532]) ).
fof(f1536,plain,
( spl0_254
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1540,plain,
( ~ spl0_144
| spl0_254
| spl0_47 ),
inference(split_clause,[status(thm)],[f320,f1174,f1536,f794]) ).
fof(f1545,plain,
( spl0_255
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1549,plain,
( ~ spl0_161
| spl0_255
| spl0_111 ),
inference(split_clause,[status(thm)],[f329,f1235,f1545,f1034]) ).
fof(f1558,plain,
( spl0_257
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1559,plain,
( h1(e11) = e20
| ~ spl0_257 ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1560,plain,
( h1(e11) != e20
| spl0_257 ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1562,plain,
( spl0_258
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1563,plain,
( h1(e12) = e20
| ~ spl0_258 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1564,plain,
( h1(e12) != e20
| spl0_258 ),
inference(component_clause,[status(thm)],[f1562]) ).
fof(f1566,plain,
( spl0_259
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1568,plain,
( h1(e13) != e20
| spl0_259 ),
inference(component_clause,[status(thm)],[f1566]) ).
fof(f1569,plain,
( ~ spl0_178
| ~ spl0_259 ),
inference(split_clause,[status(thm)],[f338,f1292,f1566]) ).
fof(f1570,plain,
( spl0_260
<=> h1(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1571,plain,
( h1(e10) = e21
| ~ spl0_260 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1572,plain,
( h1(e10) != e21
| spl0_260 ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1574,plain,
( spl0_261
<=> h1(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1575,plain,
( h1(e11) = e21
| ~ spl0_261 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1576,plain,
( h1(e11) != e21
| spl0_261 ),
inference(component_clause,[status(thm)],[f1574]) ).
fof(f1577,plain,
( ~ spl0_179
| ~ spl0_261 ),
inference(split_clause,[status(thm)],[f341,f1295,f1574]) ).
fof(f1590,plain,
( spl0_265
<=> h1(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1592,plain,
( h1(e11) != e22
| spl0_265 ),
inference(component_clause,[status(thm)],[f1590]) ).
fof(f1618,plain,
( spl0_272
<=> h2(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f1620,plain,
( h2(e10) != e21
| spl0_272 ),
inference(component_clause,[status(thm)],[f1618]) ).
fof(f1622,plain,
( spl0_273
<=> h2(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1623,plain,
( h2(e11) = e21
| ~ spl0_273 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1624,plain,
( h2(e11) != e21
| spl0_273 ),
inference(component_clause,[status(thm)],[f1622]) ).
fof(f1626,plain,
( spl0_274
<=> h2(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1627,plain,
( h2(e12) = e21
| ~ spl0_274 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1628,plain,
( h2(e12) != e21
| spl0_274 ),
inference(component_clause,[status(thm)],[f1626]) ).
fof(f1630,plain,
( spl0_275
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1632,plain,
( h2(e13) != e21
| spl0_275 ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,plain,
( ~ spl0_202
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f358,f1368,f1630]) ).
fof(f1650,plain,
( spl0_280
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1652,plain,
( h3(e10) != e20
| spl0_280 ),
inference(component_clause,[status(thm)],[f1650]) ).
fof(f1653,plain,
( ~ spl0_224
| ~ spl0_280 ),
inference(split_clause,[status(thm)],[f365,f1438,f1650]) ).
fof(f1670,plain,
( spl0_285
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1671,plain,
( h3(e11) = e21
| ~ spl0_285 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1672,plain,
( h3(e11) != e21
| spl0_285 ),
inference(component_clause,[status(thm)],[f1670]) ).
fof(f1673,plain,
( ~ spl0_225
| ~ spl0_285 ),
inference(split_clause,[status(thm)],[f371,f1441,f1670]) ).
fof(f1686,plain,
( spl0_289
<=> h3(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1688,plain,
( h3(e11) != e22
| spl0_289 ),
inference(component_clause,[status(thm)],[f1686]) ).
fof(f1690,plain,
( spl0_290
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1691,plain,
( h3(e12) = e22
| ~ spl0_290 ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1692,plain,
( h3(e12) != e22
| spl0_290 ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1694,plain,
( spl0_291
<=> h3(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1696,plain,
( h3(e13) != e22
| spl0_291 ),
inference(component_clause,[status(thm)],[f1694]) ).
fof(f1697,plain,
( ~ spl0_226
| ~ spl0_291 ),
inference(split_clause,[status(thm)],[f378,f1444,f1694]) ).
fof(f1698,plain,
( spl0_292
<=> h4(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1700,plain,
( h4(e10) != e20
| spl0_292 ),
inference(component_clause,[status(thm)],[f1698]) ).
fof(f1701,plain,
( ~ spl0_247
| ~ spl0_292 ),
inference(split_clause,[status(thm)],[f380,f1511,f1698]) ).
fof(f1718,plain,
( spl0_297
<=> h4(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1720,plain,
( h4(e11) != e21
| spl0_297 ),
inference(component_clause,[status(thm)],[f1718]) ).
fof(f1721,plain,
( ~ spl0_248
| ~ spl0_297 ),
inference(split_clause,[status(thm)],[f386,f1514,f1718]) ).
fof(f1738,plain,
( spl0_302
<=> h4(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1740,plain,
( h4(e12) != e22
| spl0_302 ),
inference(component_clause,[status(thm)],[f1738]) ).
fof(f1741,plain,
( ~ spl0_249
| ~ spl0_302 ),
inference(split_clause,[status(thm)],[f392,f1517,f1738]) ).
fof(f1746,plain,
( spl0_304
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1749,plain,
( ~ spl0_254
| spl0_304
| spl0_55 ),
inference(split_clause,[status(thm)],[f397,f1536,f1746,f820]) ).
fof(f1755,plain,
( spl0_305
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1758,plain,
( ~ spl0_255
| spl0_305
| spl0_119 ),
inference(split_clause,[status(thm)],[f406,f1545,f1755,f1060]) ).
fof(f1764,plain,
( spl0_306
<=> pd0_18 ),
introduced(split_symbol_definition) ).
fof(f1767,plain,
( ~ spl0_304
| spl0_306
| spl0_51 ),
inference(split_clause,[status(thm)],[f415,f1746,f1764,f807]) ).
fof(f1768,plain,
( ~ spl0_304
| spl0_306
| spl0_15 ),
inference(split_clause,[status(thm)],[f416,f1746,f1764,f690]) ).
fof(f1769,plain,
( ~ spl0_304
| spl0_306
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f417,f1746,f1764,f642]) ).
fof(f1770,plain,
( ~ spl0_304
| spl0_306
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f418,f1746,f1764,f707]) ).
fof(f1773,plain,
( spl0_307
<=> pd0_19 ),
introduced(split_symbol_definition) ).
fof(f1776,plain,
( ~ spl0_305
| spl0_307
| spl0_115 ),
inference(split_clause,[status(thm)],[f424,f1755,f1773,f1047]) ).
fof(f1777,plain,
( ~ spl0_305
| spl0_307
| spl0_79 ),
inference(split_clause,[status(thm)],[f425,f1755,f1773,f930]) ).
fof(f1779,plain,
( ~ spl0_305
| spl0_307
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f427,f1755,f1773,f947]) ).
fof(f1782,plain,
( spl0_308
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1785,plain,
( ~ spl0_306
| spl0_308
| spl0_46 ),
inference(split_clause,[status(thm)],[f433,f1764,f1782,f791]) ).
fof(f1791,plain,
( spl0_309
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1794,plain,
( ~ spl0_307
| spl0_309
| spl0_110 ),
inference(split_clause,[status(thm)],[f442,f1773,f1791,f1031]) ).
fof(f1800,plain,
( spl0_310
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1803,plain,
( ~ spl0_308
| spl0_310
| spl0_42 ),
inference(split_clause,[status(thm)],[f451,f1782,f1800,f778]) ).
fof(f1805,plain,
( ~ spl0_308
| spl0_310
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f453,f1782,f1800,f648]) ).
fof(f1807,plain,
( ~ spl0_308
| spl0_310
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f455,f1782,f1800,f778]) ).
fof(f1809,plain,
( spl0_311
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1812,plain,
( ~ spl0_309
| spl0_311
| spl0_106 ),
inference(split_clause,[status(thm)],[f460,f1791,f1809,f1018]) ).
fof(f1816,plain,
( ~ spl0_309
| spl0_311
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f464,f1791,f1809,f1018]) ).
fof(f1818,plain,
( spl0_312
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1821,plain,
( ~ spl0_310
| spl0_312
| spl0_38 ),
inference(split_clause,[status(thm)],[f469,f1800,f1818,f765]) ).
fof(f1827,plain,
( spl0_313
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1830,plain,
( ~ spl0_311
| spl0_313
| spl0_102 ),
inference(split_clause,[status(thm)],[f478,f1809,f1827,f1005]) ).
fof(f1836,plain,
( spl0_314
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1839,plain,
( ~ spl0_312
| spl0_314
| spl0_34 ),
inference(split_clause,[status(thm)],[f487,f1818,f1836,f752]) ).
fof(f1840,plain,
( ~ spl0_312
| spl0_314
| spl0_10 ),
inference(split_clause,[status(thm)],[f488,f1818,f1836,f674]) ).
fof(f1841,plain,
( ~ spl0_312
| spl0_314
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f489,f1818,f1836,f642]) ).
fof(f1842,plain,
( ~ spl0_312
| spl0_314
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f490,f1818,f1836,f707]) ).
fof(f1845,plain,
( spl0_315
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1848,plain,
( ~ spl0_313
| spl0_315
| spl0_98 ),
inference(split_clause,[status(thm)],[f496,f1827,f1845,f992]) ).
fof(f1849,plain,
( ~ spl0_313
| spl0_315
| spl0_74 ),
inference(split_clause,[status(thm)],[f497,f1827,f1845,f914]) ).
fof(f1851,plain,
( ~ spl0_313
| spl0_315
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f499,f1827,f1845,f947]) ).
fof(f1854,plain,
( spl0_316
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1857,plain,
( ~ spl0_314
| spl0_316
| spl0_29 ),
inference(split_clause,[status(thm)],[f505,f1836,f1854,f736]) ).
fof(f1863,plain,
( spl0_317
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1866,plain,
( ~ spl0_315
| spl0_317
| spl0_93 ),
inference(split_clause,[status(thm)],[f514,f1845,f1863,f976]) ).
fof(f1872,plain,
( spl0_318
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1875,plain,
( ~ spl0_316
| spl0_318
| spl0_25 ),
inference(split_clause,[status(thm)],[f523,f1854,f1872,f723]) ).
fof(f1876,plain,
( ~ spl0_316
| spl0_318
| spl0_37 ),
inference(split_clause,[status(thm)],[f524,f1854,f1872,f762]) ).
fof(f1879,plain,
( ~ spl0_316
| spl0_318
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f527,f1854,f1872,f778]) ).
fof(f1881,plain,
( spl0_319
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1884,plain,
( ~ spl0_317
| spl0_319
| spl0_89 ),
inference(split_clause,[status(thm)],[f532,f1863,f1881,f963]) ).
fof(f1885,plain,
( ~ spl0_317
| spl0_319
| spl0_101 ),
inference(split_clause,[status(thm)],[f533,f1863,f1881,f1002]) ).
fof(f1888,plain,
( ~ spl0_317
| spl0_319
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f536,f1863,f1881,f1018]) ).
fof(f1890,plain,
( spl0_320
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1893,plain,
( ~ spl0_318
| spl0_320
| spl0_21 ),
inference(split_clause,[status(thm)],[f541,f1872,f1890,f710]) ).
fof(f1895,plain,
( ~ spl0_318
| spl0_320
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f543,f1872,f1890,f645]) ).
fof(f1896,plain,
( ~ spl0_318
| spl0_320
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f544,f1872,f1890,f710]) ).
fof(f1898,plain,
( ~ spl0_318
| spl0_320
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f546,f1872,f1890,f840]) ).
fof(f1899,plain,
( spl0_321
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1906,plain,
( ~ spl0_319
| spl0_321
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f554,f1881,f1899,f1015]) ).
fof(f1907,plain,
( ~ spl0_319
| spl0_321
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f555,f1881,f1899,f1080]) ).
fof(f1908,plain,
( spl0_322
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1911,plain,
( ~ spl0_320
| spl0_322
| spl0_17 ),
inference(split_clause,[status(thm)],[f559,f1890,f1908,f697]) ).
fof(f1912,plain,
( ~ spl0_320
| spl0_322
| spl0_5 ),
inference(split_clause,[status(thm)],[f560,f1890,f1908,f658]) ).
fof(f1914,plain,
( ~ spl0_320
| spl0_322
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f562,f1890,f1908,f707]) ).
fof(f1917,plain,
( spl0_323
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1920,plain,
( ~ spl0_321
| spl0_323
| spl0_81 ),
inference(split_clause,[status(thm)],[f568,f1899,f1917,f937]) ).
fof(f1921,plain,
( ~ spl0_321
| spl0_323
| spl0_69 ),
inference(split_clause,[status(thm)],[f569,f1899,f1917,f898]) ).
fof(f1923,plain,
( ~ spl0_321
| spl0_323
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f571,f1899,f1917,f947]) ).
fof(f1926,plain,
( spl0_324
<=> pd0_36 ),
introduced(split_symbol_definition) ).
fof(f1929,plain,
( ~ spl0_322
| spl0_324
| spl0_12 ),
inference(split_clause,[status(thm)],[f577,f1908,f1926,f681]) ).
fof(f1935,plain,
( spl0_325
<=> pd0_37 ),
introduced(split_symbol_definition) ).
fof(f1938,plain,
( ~ spl0_323
| spl0_325
| spl0_76 ),
inference(split_clause,[status(thm)],[f586,f1917,f1935,f921]) ).
fof(f1939,plain,
( ~ spl0_323
| spl0_325
| spl0_112 ),
inference(split_clause,[status(thm)],[f587,f1917,f1935,f1038]) ).
fof(f1940,plain,
( ~ spl0_323
| spl0_325
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f588,f1917,f1935,f891]) ).
fof(f1944,plain,
( spl0_326
<=> pd0_38 ),
introduced(split_symbol_definition) ).
fof(f1947,plain,
( ~ spl0_324
| spl0_326
| spl0_8 ),
inference(split_clause,[status(thm)],[f595,f1926,f1944,f668]) ).
fof(f1948,plain,
( ~ spl0_324
| spl0_326
| spl0_32 ),
inference(split_clause,[status(thm)],[f596,f1926,f1944,f746]) ).
fof(f1953,plain,
( spl0_327
<=> pd0_39 ),
introduced(split_symbol_definition) ).
fof(f1957,plain,
( ~ spl0_325
| spl0_327
| spl0_96 ),
inference(split_clause,[status(thm)],[f605,f1935,f1953,f986]) ).
fof(f1962,plain,
( spl0_328
<=> pd0_40 ),
introduced(split_symbol_definition) ).
fof(f1966,plain,
( ~ spl0_326
| spl0_328
| spl0_16 ),
inference(split_clause,[status(thm)],[f614,f1944,f1962,f694]) ).
fof(f1967,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f615,f1944,f1962,f645]) ).
fof(f1968,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f616,f1944,f1962,f710]) ).
fof(f1970,plain,
( ~ spl0_326
| spl0_328
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f618,f1944,f1962,f840]) ).
fof(f1971,plain,
( spl0_329
<=> pd0_41 ),
introduced(split_symbol_definition) ).
fof(f1974,plain,
( ~ spl0_327
| spl0_329
| spl0_68 ),
inference(split_clause,[status(thm)],[f622,f1953,f1971,f895]) ).
fof(f1975,plain,
( ~ spl0_327
| spl0_329
| spl0_80 ),
inference(split_clause,[status(thm)],[f623,f1953,f1971,f934]) ).
fof(f1976,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f624,f1953,f1971,f885]) ).
fof(f1977,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f625,f1953,f1971,f950]) ).
fof(f1979,plain,
( ~ spl0_327
| spl0_329
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f627,f1953,f1971,f1080]) ).
fof(f1980,plain,
( ~ spl0_328
| spl0_0 ),
inference(split_clause,[status(thm)],[f629,f1962,f642]) ).
fof(f1982,plain,
( ~ spl0_328
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f631,f1962,f642]) ).
fof(f1983,plain,
( ~ spl0_328
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f632,f1962,f707]) ).
fof(f1986,plain,
( ~ spl0_329
| spl0_64 ),
inference(split_clause,[status(thm)],[f636,f1971,f882]) ).
fof(f1988,plain,
( ~ spl0_329
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f638,f1971,f882]) ).
fof(f1989,plain,
( ~ spl0_329
| ~ spl0_84 ),
inference(split_clause,[status(thm)],[f639,f1971,f947]) ).
fof(f1992,plain,
( e20 != op2(e20,e23)
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f896,f192]) ).
fof(f1997,plain,
( e20 != op2(e21,e21)
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f896,f170]) ).
fof(f1999,plain,
( e20 != op2(e21,e22)
| ~ spl0_80 ),
inference(backward_demodulation,[status(thm)],[f935,f195]) ).
fof(f2007,plain,
( e20 != op2(e22,e22)
| ~ spl0_72 ),
inference(backward_demodulation,[status(thm)],[f909,f177]) ).
fof(f2009,plain,
( e20 != op2(e22,e23)
| ~ spl0_96 ),
inference(backward_demodulation,[status(thm)],[f987,f202]) ).
fof(f2017,plain,
( op2(e22,e22) != e23
| ~ spl0_123 ),
inference(backward_demodulation,[status(thm)],[f1074,f181]) ).
fof(f2025,plain,
( e22 != op2(e23,e21)
| ~ spl0_102 ),
inference(backward_demodulation,[status(thm)],[f1006,f175]) ).
fof(f2027,plain,
( e22 != op2(e21,e23)
| ~ spl0_90 ),
inference(backward_demodulation,[status(thm)],[f967,f199]) ).
fof(f2035,plain,
( e20 = e22
| ~ spl0_72
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f909,f915]) ).
fof(f2036,plain,
( $false
| ~ spl0_72
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f2035,f219]) ).
fof(f2037,plain,
( ~ spl0_72
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f2036]) ).
fof(f2038,plain,
( op2(e20,e22) != e23
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1074,f178]) ).
fof(f2039,plain,
( op2(e20,e22) != e22
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f967,f176]) ).
fof(f2040,plain,
( e22 = e21
| ~ spl0_90
| ~ spl0_89 ),
inference(forward_demodulation,[status(thm)],[f967,f964]) ).
fof(f2041,plain,
( $false
| ~ spl0_90
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[status(thm)],[f2040,f221]) ).
fof(f2042,plain,
( ~ spl0_90
| ~ spl0_89 ),
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2046,plain,
( e20 = e21
| ~ spl0_80
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f935,f938]) ).
fof(f2047,plain,
( $false
| ~ spl0_80
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f2046,f218]) ).
fof(f2048,plain,
( ~ spl0_80
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f2047]) ).
fof(f2050,plain,
( ~ spl0_104
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2007,f1012,f908]) ).
fof(f2052,plain,
( e20 = e21
| ~ spl0_68
| ~ spl0_69 ),
inference(forward_demodulation,[status(thm)],[f896,f899]) ).
fof(f2053,plain,
( $false
| ~ spl0_68
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f2052,f218]) ).
fof(f2054,plain,
( ~ spl0_68
| ~ spl0_69 ),
inference(contradiction_clause,[status(thm)],[f2053]) ).
fof(f2055,plain,
( h1(e10) != op2(h1(e10),h1(e11))
| ~ spl0_4
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f656,f1249]) ).
fof(f2056,plain,
( h2(e10) != op2(h2(e10),h2(e11))
| ~ spl0_4
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f656,f1322]) ).
fof(f2057,plain,
( h3(e10) != op2(h3(e10),h3(e11))
| ~ spl0_4
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f656,f1395]) ).
fof(f2058,plain,
( h4(e10) != op2(h4(e10),h4(e11))
| ~ spl0_4
| spl0_232 ),
inference(backward_demodulation,[status(thm)],[f656,f1468]) ).
fof(f2068,plain,
( h4(e10) != op2(h4(e11),h4(e10))
| ~ spl0_16
| spl0_235 ),
inference(backward_demodulation,[status(thm)],[f695,f1477]) ).
fof(f2070,plain,
( e10 != op1(e11,e12)
| ~ spl0_16 ),
inference(backward_demodulation,[status(thm)],[f695,f147]) ).
fof(f2086,plain,
( e10 != op1(e12,e13)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f747,f154]) ).
fof(f2094,plain,
( h2(e13) != op2(h2(e13),h2(e12))
| ~ spl0_59
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f834,f1361]) ).
fof(f2100,plain,
( op1(e12,e12) != e13
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f834,f133]) ).
fof(f2101,plain,
( op1(e11,e12) != e13
| ~ spl0_59 ),
inference(backward_demodulation,[status(thm)],[f834,f132]) ).
fof(f2116,plain,
( e12 != op1(e13,e11)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f766,f127]) ).
fof(f2122,plain,
( e12 != op1(e11,e13)
| ~ spl0_26 ),
inference(backward_demodulation,[status(thm)],[f727,f151]) ).
fof(f2130,plain,
( e10 = e12
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f669,f675]) ).
fof(f2131,plain,
( $false
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f2130,f213]) ).
fof(f2132,plain,
( ~ spl0_8
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f2131]) ).
fof(f2134,plain,
( op1(e10,e12) != e12
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f727,f128]) ).
fof(f2135,plain,
( e12 = e11
| ~ spl0_26
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f727,f724]) ).
fof(f2136,plain,
( $false
| ~ spl0_26
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f2135,f215]) ).
fof(f2137,plain,
( ~ spl0_26
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f2136]) ).
fof(f2138,plain,
e10 = op1(op1(e13,e11),e13),
inference(backward_demodulation,[status(thm)],[f265,f264]) ).
fof(f2139,plain,
( h1(e11) != op2(h1(e13),h1(e13))
| spl0_177 ),
inference(backward_demodulation,[status(thm)],[f265,f1291]) ).
fof(f2140,plain,
( h2(e11) != op2(h2(e13),h2(e13))
| spl0_200 ),
inference(backward_demodulation,[status(thm)],[f265,f1364]) ).
fof(f2142,plain,
op1(e13,e10) != e11,
inference(backward_demodulation,[status(thm)],[f265,f160]) ).
fof(f2143,plain,
( h3(e11) != op2(h3(e13),h3(e13))
| spl0_223 ),
inference(backward_demodulation,[status(thm)],[f265,f1437]) ).
fof(f2144,plain,
( h4(e11) != op2(h4(e13),h4(e13))
| spl0_246 ),
inference(backward_demodulation,[status(thm)],[f265,f1510]) ).
fof(f2145,plain,
op1(e11,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f138]) ).
fof(f2146,plain,
op1(e10,e13) != e11,
inference(backward_demodulation,[status(thm)],[f265,f136]) ).
fof(f2147,plain,
e12 = op1(e13,e11),
inference(forward_demodulation,[status(thm)],[f265,f266]) ).
fof(f2148,plain,
( h1(e12) != op2(h1(e13),h1(e11))
| spl0_175 ),
inference(backward_demodulation,[status(thm)],[f2147,f1285]) ).
fof(f2149,plain,
( h2(e12) != op2(h2(e13),h2(e11))
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f2147,f1358]) ).
fof(f2150,plain,
op1(e13,e10) != e12,
inference(backward_demodulation,[status(thm)],[f2147,f158]) ).
fof(f2151,plain,
( h3(e12) != op2(h3(e13),h3(e11))
| spl0_221 ),
inference(backward_demodulation,[status(thm)],[f2147,f1431]) ).
fof(f2152,plain,
( h4(e12) != op2(h4(e13),h4(e11))
| spl0_244 ),
inference(backward_demodulation,[status(thm)],[f2147,f1504]) ).
fof(f2153,plain,
op1(e11,e11) != e12,
inference(backward_demodulation,[status(thm)],[f2147,f126]) ).
fof(f2154,plain,
e20 = op2(op2(e23,e21),e23),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f2157,plain,
op2(e21,e23) != e21,
inference(backward_demodulation,[status(thm)],[f268,f186]) ).
fof(f2158,plain,
op2(e20,e23) != e21,
inference(backward_demodulation,[status(thm)],[f268,f184]) ).
fof(f2159,plain,
e22 = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f268,f269]) ).
fof(f2160,plain,
op2(e23,e20) != e22,
inference(backward_demodulation,[status(thm)],[f2159,f206]) ).
fof(f2161,plain,
op2(e21,e21) != e22,
inference(backward_demodulation,[status(thm)],[f2159,f174]) ).
fof(f2162,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e20)
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f270,f1255]) ).
fof(f2163,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e20)
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f270,f1267]) ).
fof(f2164,plain,
( h1(op1(e13,e10)) != op2(e20,h1(e10))
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f270,f1282]) ).
fof(f2165,plain,
h1(e10) = op2(op2(e20,h1(e11)),e20),
inference(backward_demodulation,[status(thm)],[f272,f271]) ).
fof(f2168,plain,
h1(e12) = op2(e20,h1(e11)),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f2169,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e21)
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f274,f1328]) ).
fof(f2170,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e21)
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f274,f1340]) ).
fof(f2171,plain,
( h2(op1(e13,e10)) != op2(e21,h2(e10))
| spl0_197 ),
inference(backward_demodulation,[status(thm)],[f274,f1355]) ).
fof(f2172,plain,
h2(e10) = op2(op2(e21,h2(e11)),e21),
inference(backward_demodulation,[status(thm)],[f276,f275]) ).
fof(f2174,plain,
h2(e12) = op2(e21,h2(e11)),
inference(forward_demodulation,[status(thm)],[f276,f277]) ).
fof(f2175,plain,
( $false
| spl0_291 ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f1696]) ).
fof(f2176,plain,
spl0_291,
inference(contradiction_clause,[status(thm)],[f2175]) ).
fof(f2177,plain,
h3(e10) = op2(op2(e22,h3(e11)),e22),
inference(backward_demodulation,[status(thm)],[f280,f279]) ).
fof(f2178,plain,
h3(e12) = op2(e22,h3(e11)),
inference(forward_demodulation,[status(thm)],[f280,f281]) ).
fof(f2184,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl0_243 ),
inference(backward_demodulation,[status(thm)],[f282,f1501]) ).
fof(f2185,plain,
h4(e10) = op2(op2(e23,e21),e23),
inference(forward_demodulation,[status(thm)],[f268,f283]) ).
fof(f2186,plain,
h4(e10) = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f2159,f2185]) ).
fof(f2200,plain,
( e10 = e11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f695,f698]) ).
fof(f2201,plain,
( $false
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f2200,f212]) ).
fof(f2202,plain,
( ~ spl0_16
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f2201]) ).
fof(f2211,plain,
( h1(e11) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f272,f883]) ).
fof(f2212,plain,
( e11 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f265,f847]) ).
fof(f2213,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2212,f216]) ).
fof(f2214,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f2213]) ).
fof(f2216,plain,
( e12 != e12
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f2147,f2116]) ).
fof(f2217,plain,
( $false
| ~ spl0_38 ),
inference(trivial_equality_resolution,[status(esa)],[f2216]) ).
fof(f2218,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f2217]) ).
fof(f2220,plain,
( e10 = e11
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f656,f659]) ).
fof(f2221,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f2220,f212]) ).
fof(f2222,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f2221]) ).
fof(f2224,plain,
op1(e10,e11) != e12,
inference(forward_demodulation,[status(thm)],[f2147,f124]) ).
fof(f2227,plain,
( op1(e10,e10) != e10
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f799,f118]) ).
fof(f2231,plain,
( e22 = e21
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f2159,f1055]) ).
fof(f2232,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f2231,f221]) ).
fof(f2233,plain,
~ spl0_117,
inference(contradiction_clause,[status(thm)],[f2232]) ).
fof(f2235,plain,
( h1(e11) = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f272,f889]) ).
fof(f2238,plain,
( e20 != e20
| ~ spl0_76
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f922,f1992]) ).
fof(f2239,plain,
( $false
| ~ spl0_76
| ~ spl0_68 ),
inference(trivial_equality_resolution,[status(esa)],[f2238]) ).
fof(f2240,plain,
( ~ spl0_76
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2239]) ).
fof(f2242,plain,
( e12 = e11
| ~ spl0_53 ),
inference(forward_demodulation,[status(thm)],[f2147,f815]) ).
fof(f2243,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f2242,f215]) ).
fof(f2244,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f2243]) ).
fof(f2251,plain,
( h3(e11) = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f280,f1016]) ).
fof(f2252,plain,
( $false
| spl0_285
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f2251,f1672]) ).
fof(f2253,plain,
( spl0_285
| ~ spl0_105 ),
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2255,plain,
( h2(e11) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f276,f954]) ).
fof(f2257,plain,
e22 != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f2159,f209]) ).
fof(f2259,plain,
h3(e11) != op2(e23,e22),
inference(forward_demodulation,[status(thm)],[f280,f181]) ).
fof(f2273,plain,
( e11 = e10
| ~ spl0_60 ),
inference(forward_demodulation,[status(thm)],[f265,f838]) ).
fof(f2274,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f2273,f212]) ).
fof(f2275,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f2274]) ).
fof(f2281,plain,
( e20 = e23
| ~ spl0_76
| ~ spl0_79 ),
inference(forward_demodulation,[status(thm)],[f922,f931]) ).
fof(f2282,plain,
( $false
| ~ spl0_76
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f2281,f220]) ).
fof(f2283,plain,
( ~ spl0_76
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f2282]) ).
fof(f2287,plain,
( h1(e11) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f272,f892]) ).
fof(f2289,plain,
( h3(e11) = e23
| ~ spl0_107 ),
inference(forward_demodulation,[status(thm)],[f280,f1022]) ).
fof(f2290,plain,
( h2(e11) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f276,f957]) ).
fof(f2296,plain,
( ~ spl0_107
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f2017,f1021,f1073]) ).
fof(f2301,plain,
( e22 != e22
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f2159,f2025]) ).
fof(f2302,plain,
( $false
| ~ spl0_102 ),
inference(trivial_equality_resolution,[status(esa)],[f2301]) ).
fof(f2303,plain,
~ spl0_102,
inference(contradiction_clause,[status(thm)],[f2302]) ).
fof(f2305,plain,
( e20 = e23
| ~ spl0_112
| ~ spl0_115 ),
inference(forward_demodulation,[status(thm)],[f1039,f1048]) ).
fof(f2306,plain,
( $false
| ~ spl0_112
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f2305,f220]) ).
fof(f2307,plain,
( ~ spl0_112
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f2306]) ).
fof(f2315,plain,
( e10 = e13
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f799,f808]) ).
fof(f2316,plain,
( $false
| ~ spl0_48
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f214]) ).
fof(f2317,plain,
( ~ spl0_48
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2322,plain,
( e22 = e23
| ~ spl0_119 ),
inference(forward_demodulation,[status(thm)],[f2159,f1061]) ).
fof(f2323,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f2322,f223]) ).
fof(f2324,plain,
~ spl0_119,
inference(contradiction_clause,[status(thm)],[f2323]) ).
fof(f2332,plain,
( e12 = e13
| ~ spl0_55 ),
inference(forward_demodulation,[status(thm)],[f2147,f821]) ).
fof(f2333,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f2332,f217]) ).
fof(f2334,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f2333]) ).
fof(f2336,plain,
( e20 = e22
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f922,f928]) ).
fof(f2337,plain,
( $false
| ~ spl0_76
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2336,f219]) ).
fof(f2338,plain,
( ~ spl0_76
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f2337]) ).
fof(f2341,plain,
h4(e11) = e21,
inference(forward_demodulation,[status(thm)],[f268,f284]) ).
fof(f2342,plain,
( $false
| spl0_297 ),
inference(forward_subsumption_resolution,[status(thm)],[f2341,f1720]) ).
fof(f2343,plain,
spl0_297,
inference(contradiction_clause,[status(thm)],[f2342]) ).
fof(f2344,plain,
h4(e12) = op2(e23,e21),
inference(forward_demodulation,[status(thm)],[f268,f285]) ).
fof(f2345,plain,
h4(e12) = e22,
inference(forward_demodulation,[status(thm)],[f2159,f2344]) ).
fof(f2346,plain,
( $false
| spl0_302 ),
inference(forward_subsumption_resolution,[status(thm)],[f2345,f1740]) ).
fof(f2347,plain,
spl0_302,
inference(contradiction_clause,[status(thm)],[f2346]) ).
fof(f2348,plain,
op2(e22,e20) != h3(e11),
inference(forward_demodulation,[status(thm)],[f280,f201]) ).
fof(f2349,plain,
h1(e11) != op2(e22,e20),
inference(forward_demodulation,[status(thm)],[f272,f165]) ).
fof(f2354,plain,
h2(e11) != op2(e21,e22),
inference(forward_demodulation,[status(thm)],[f276,f197]) ).
fof(f2355,plain,
op2(e21,e22) != h3(e11),
inference(forward_demodulation,[status(thm)],[f280,f179]) ).
fof(f2358,plain,
h2(e11) != op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f276,f173]) ).
fof(f2363,plain,
h1(e11) != op2(e20,e21),
inference(forward_demodulation,[status(thm)],[f272,f188]) ).
fof(f2364,plain,
op2(e20,e21) != e22,
inference(forward_demodulation,[status(thm)],[f2159,f172]) ).
fof(f2365,plain,
op2(e20,e21) != h2(e11),
inference(forward_demodulation,[status(thm)],[f276,f170]) ).
fof(f2369,plain,
( e21 != op2(h2(e13),h2(e12))
| ~ spl0_59
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f274,f2094]) ).
fof(f2370,plain,
( e21 != op2(e21,h2(e12))
| ~ spl0_59
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f274,f2369]) ).
fof(f2382,plain,
( h1(e11) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f272,f886]) ).
fof(f2384,plain,
( e21 = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f268,f1078]) ).
fof(f2385,plain,
( $false
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f2384,f218]) ).
fof(f2386,plain,
~ spl0_124,
inference(contradiction_clause,[status(thm)],[f2385]) ).
fof(f2390,plain,
( e22 = e23
| ~ spl0_94
| ~ spl0_95 ),
inference(forward_demodulation,[status(thm)],[f980,f983]) ).
fof(f2391,plain,
( $false
| ~ spl0_94
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[status(thm)],[f2390,f223]) ).
fof(f2392,plain,
( ~ spl0_94
| ~ spl0_95 ),
inference(contradiction_clause,[status(thm)],[f2391]) ).
fof(f2395,plain,
( ~ spl0_84
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f1997,f947,f895]) ).
fof(f2397,plain,
( e21 = e20
| ~ spl0_121
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f1068,f1065]) ).
fof(f2398,plain,
( $false
| ~ spl0_121
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[status(thm)],[f2397,f218]) ).
fof(f2399,plain,
( ~ spl0_121
| ~ spl0_120 ),
inference(contradiction_clause,[status(thm)],[f2398]) ).
fof(f2400,plain,
( e22 = e20
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f2159,f1052]) ).
fof(f2401,plain,
( $false
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[status(thm)],[f2400,f219]) ).
fof(f2402,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f2401]) ).
fof(f2405,plain,
( e23 != h3(e11)
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f970,f2355]) ).
fof(f2407,plain,
( op2(e20,e22) != e23
| ~ spl0_91 ),
inference(backward_demodulation,[status(thm)],[f970,f176]) ).
fof(f2412,plain,
( h2(e11) != e23
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f1009,f2358]) ).
fof(f2415,plain,
( op2(e22,e20) != e23
| ~ spl0_103 ),
inference(backward_demodulation,[status(thm)],[f1009,f200]) ).
fof(f2431,plain,
( e23 != h2(e11)
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f905,f2365]) ).
fof(f2443,plain,
( e23 = e20
| ~ spl0_71
| ~ spl0_68 ),
inference(forward_demodulation,[status(thm)],[f905,f896]) ).
fof(f2444,plain,
( $false
| ~ spl0_71
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[status(thm)],[f2443,f220]) ).
fof(f2445,plain,
( ~ spl0_71
| ~ spl0_68 ),
inference(contradiction_clause,[status(thm)],[f2444]) ).
fof(f2446,plain,
( ~ spl0_99
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f2415,f995,f1008]) ).
fof(f2447,plain,
( e23 = e22
| ~ spl0_83
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f944,f941]) ).
fof(f2448,plain,
( $false
| ~ spl0_83
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f2447,f223]) ).
fof(f2449,plain,
( ~ spl0_83
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f2448]) ).
fof(f2450,plain,
( ~ spl0_75
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f2407,f917,f969]) ).
fof(f2456,plain,
( e21 != e21
| spl0_275 ),
inference(forward_demodulation,[status(thm)],[f274,f1632]) ).
fof(f2457,plain,
( $false
| spl0_275 ),
inference(trivial_equality_resolution,[status(esa)],[f2456]) ).
fof(f2458,plain,
spl0_275,
inference(contradiction_clause,[status(thm)],[f2457]) ).
fof(f2459,plain,
e10 = op1(e12,e13),
inference(forward_demodulation,[status(thm)],[f2147,f2138]) ).
fof(f2460,plain,
( e10 = e13
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f795,f2459]) ).
fof(f2461,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f2460,f214]) ).
fof(f2462,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2463,plain,
( h1(op1(e13,e12)) != op2(e20,h1(e12))
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f270,f1288]) ).
fof(f2464,plain,
( h2(op1(e13,e12)) != op2(e21,h2(e12))
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f274,f1361]) ).
fof(f2465,plain,
op1(e13,e12) != e11,
inference(forward_demodulation,[status(thm)],[f265,f163]) ).
fof(f2466,plain,
e12 != op1(e13,e12),
inference(forward_demodulation,[status(thm)],[f2147,f161]) ).
fof(f2467,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f282,f1507]) ).
fof(f2468,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e20)
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f270,f1279]) ).
fof(f2469,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e21)
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f274,f1352]) ).
fof(f2470,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f282,f1498]) ).
fof(f2473,plain,
( op1(e10,e13) != e12
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f740,f134]) ).
fof(f2474,plain,
e20 = op2(e22,e23),
inference(forward_demodulation,[status(thm)],[f2159,f2154]) ).
fof(f2475,plain,
h1(e10) = op2(h1(e12),e20),
inference(forward_demodulation,[status(thm)],[f2168,f2165]) ).
fof(f2478,plain,
h2(e10) = op2(h2(e12),e21),
inference(forward_demodulation,[status(thm)],[f2174,f2172]) ).
fof(f2482,plain,
h3(e10) = op2(h3(e12),e22),
inference(forward_demodulation,[status(thm)],[f2178,f2177]) ).
fof(f2485,plain,
( h4(e10) = e20
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1026,f2186]) ).
fof(f2487,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| ~ spl0_108
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2485,f1489]) ).
fof(f2488,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f805,f2150]) ).
fof(f2489,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f2488]) ).
fof(f2490,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f2146]) ).
fof(f2491,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f2490]) ).
fof(f2492,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f802,f2142]) ).
fof(f2493,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f2492]) ).
fof(f2494,plain,
( e11 = e10
| ~ spl0_45
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f789,f786]) ).
fof(f2495,plain,
( $false
| ~ spl0_45
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f2494,f212]) ).
fof(f2496,plain,
( ~ spl0_45
| ~ spl0_44 ),
inference(contradiction_clause,[status(thm)],[f2495]) ).
fof(f2503,plain,
( e12 = e10
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f2147,f812]) ).
fof(f2504,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f2503,f213]) ).
fof(f2505,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f2504]) ).
fof(f2506,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f714,f2153]) ).
fof(f2507,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2512,plain,
( op1(e10,e12) != e13
| ~ spl0_27 ),
inference(backward_demodulation,[status(thm)],[f730,f128]) ).
fof(f2517,plain,
( e13 != op1(e12,e12)
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f678,f129]) ).
fof(f2521,plain,
( e13 != op1(e12,e12)
| ~ spl0_39 ),
inference(backward_demodulation,[status(thm)],[f769,f155]) ).
fof(f2533,plain,
( e13 != op1(e13,e10)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f756,f121]) ).
fof(f2534,plain,
( ~ spl0_51
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f2533,f807,f755]) ).
fof(f2536,plain,
( e20 != op2(h4(e11),h4(e10))
| ~ spl0_108
| ~ spl0_16
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2485,f2068]) ).
fof(f2537,plain,
( e20 != op2(h4(e11),e20)
| ~ spl0_108
| ~ spl0_16
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2485,f2536]) ).
fof(f2544,plain,
( e20 != op2(h4(e10),h4(e11))
| ~ spl0_108
| ~ spl0_4
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2485,f2058]) ).
fof(f2545,plain,
( e20 != op2(e20,h4(e11))
| ~ spl0_108
| ~ spl0_4
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2485,f2544]) ).
fof(f2546,plain,
( e13 = e10
| ~ spl0_27
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f730,f721]) ).
fof(f2547,plain,
( $false
| ~ spl0_27
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f2546,f214]) ).
fof(f2548,plain,
( ~ spl0_27
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f2547]) ).
fof(f2554,plain,
( e13 != op1(e11,e11)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f665,f122]) ).
fof(f2555,plain,
( ~ spl0_23
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2554,f716,f664]) ).
fof(f2557,plain,
( e13 != op1(e10,e13)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f665,f144]) ).
fof(f2558,plain,
( ~ spl0_15
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2557,f690,f664]) ).
fof(f2559,plain,
( op1(e10,e10) != e13
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f704,f116]) ).
fof(f2560,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2559,f651,f703]) ).
fof(f2561,plain,
( e13 != op1(e13,e10)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f704,f120]) ).
fof(f2562,plain,
( ~ spl0_51
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2561,f807,f703]) ).
fof(f2563,plain,
( e13 != op1(e11,e11)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f704,f146]) ).
fof(f2564,plain,
( ~ spl0_23
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2563,f716,f703]) ).
fof(f2565,plain,
( op2(e23,e21) = e23
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f268,f1232]) ).
fof(f2566,plain,
( e22 = e23
| ~ spl0_160 ),
inference(forward_demodulation,[status(thm)],[f2159,f2565]) ).
fof(f2567,plain,
( $false
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[status(thm)],[f2566,f223]) ).
fof(f2568,plain,
~ spl0_160,
inference(contradiction_clause,[status(thm)],[f2567]) ).
fof(f2577,plain,
( e20 != op2(e22,e23)
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f974,f185]) ).
fof(f2578,plain,
( e20 != e20
| ~ spl0_108
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f1026,f2577]) ).
fof(f2579,plain,
( $false
| ~ spl0_108
| ~ spl0_92 ),
inference(trivial_equality_resolution,[status(esa)],[f2578]) ).
fof(f2580,plain,
( ~ spl0_108
| ~ spl0_92 ),
inference(contradiction_clause,[status(thm)],[f2579]) ).
fof(f2581,plain,
( op1(e12,e11) = e12
| ~ spl0_33
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f750,f1129]) ).
fof(f2589,plain,
( h4(op1(e11,e11)) != op2(h4(e11),e21)
| spl0_236 ),
inference(backward_demodulation,[status(thm)],[f2341,f1480]) ).
fof(f2590,plain,
( h4(op1(e11,e11)) != op2(e21,e21)
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f2341,f2589]) ).
fof(f2591,plain,
( h4(op1(e11,e11)) != h2(e11)
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f276,f2590]) ).
fof(f2594,plain,
( h4(op1(e12,e12)) != op2(h4(e12),e22)
| spl0_241 ),
inference(backward_demodulation,[status(thm)],[f2345,f1495]) ).
fof(f2595,plain,
( h4(op1(e12,e12)) != op2(e22,e22)
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2345,f2594]) ).
fof(f2596,plain,
( h4(op1(e12,e12)) != h3(e11)
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f280,f2595]) ).
fof(f2601,plain,
( e20 != op2(e21,e20)
| ~ spl0_108
| ~ spl0_16
| spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2341,f2537]) ).
fof(f2605,plain,
( e20 != op2(e20,e21)
| ~ spl0_108
| ~ spl0_4
| spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2341,f2545]) ).
fof(f2607,plain,
h2(e11) != e22,
inference(forward_demodulation,[status(thm)],[f276,f2161]) ).
fof(f2613,plain,
( op2(e22,h3(e11)) = e22
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f280,f1216]) ).
fof(f2614,plain,
( h3(e12) = e22
| ~ spl0_155 ),
inference(forward_demodulation,[status(thm)],[f2178,f2613]) ).
fof(f2615,plain,
( $false
| spl0_290
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[status(thm)],[f2614,f1692]) ).
fof(f2616,plain,
( spl0_290
| ~ spl0_155 ),
inference(contradiction_clause,[status(thm)],[f2615]) ).
fof(f2617,plain,
( op2(e23,e22) = e23
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2159,f1206]) ).
fof(f2617_001,plain,
( op2(e23,e22) = e23
| ~ spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2159,f1206]) ).
fof(f2618,plain,
( op2(e23,e23) = e23
| ~ spl0_152
| ~ spl0_156 ),
inference(backward_demodulation,[status(thm)],[f2617,f1219]) ).
fof(f2619,plain,
( spl0_127
| ~ spl0_152
| ~ spl0_156 ),
inference(split_clause,[status(thm)],[f2618,f1086,f1205,f1218]) ).
fof(f2620,plain,
( op2(e21,e22) != e23
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f2617,f180]) ).
fof(f2621,plain,
( h3(e11) != e23
| ~ spl0_152 ),
inference(backward_demodulation,[status(thm)],[f2617,f2259]) ).
fof(f2624,plain,
( op2(e23,e22) != e23
| spl0_152 ),
inference(forward_demodulation,[status(thm)],[f2159,f1207]) ).
fof(f2625,plain,
( op2(e21,h2(e11)) = e21
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f276,f1200]) ).
fof(f2626,plain,
( h2(e12) = e21
| ~ spl0_150 ),
inference(forward_demodulation,[status(thm)],[f2174,f2625]) ).
fof(f2627,plain,
( $false
| spl0_274
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[status(thm)],[f2626,f1628]) ).
fof(f2628,plain,
( spl0_274
| ~ spl0_150 ),
inference(contradiction_clause,[status(thm)],[f2627]) ).
fof(f2629,plain,
( op2(e20,h1(e11)) = e20
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f272,f1184]) ).
fof(f2630,plain,
( h1(e12) = e20
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f2168,f2629]) ).
fof(f2633,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_145 ),
inference(backward_demodulation,[status(thm)],[f2630,f2475]) ).
fof(f2634,plain,
( h1(e10) = h1(e11)
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f272,f2633]) ).
fof(f2636,plain,
( h1(op1(e12,e12)) != op2(h1(e12),e20)
| ~ spl0_145
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f2630,f1276]) ).
fof(f2637,plain,
( h1(op1(e12,e12)) != op2(e20,e20)
| ~ spl0_145
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f2630,f2636]) ).
fof(f2638,plain,
( h1(op1(e12,e12)) != h1(e11)
| ~ spl0_145
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f272,f2637]) ).
fof(f2639,plain,
( op1(e13,e11) = e13
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f265,f1171]) ).
fof(f2640,plain,
( e12 = e13
| ~ spl0_143 ),
inference(forward_demodulation,[status(thm)],[f2147,f2639]) ).
fof(f2641,plain,
( $false
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f2640,f217]) ).
fof(f2642,plain,
~ spl0_143,
inference(contradiction_clause,[status(thm)],[f2641]) ).
fof(f2649,plain,
( spl0_38
| ~ spl0_33
| ~ spl0_130 ),
inference(split_clause,[status(thm)],[f2581,f765,f749,f1128]) ).
fof(f2650,plain,
( h4(op1(e12,e10)) != op2(e22,e20)
| ~ spl0_108
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2345,f2487]) ).
fof(f2652,plain,
( op1(e13,e12) = e13
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f2147,f1145]) ).
fof(f2653,plain,
( op1(e13,e13) = e13
| ~ spl0_135
| ~ spl0_139 ),
inference(backward_demodulation,[status(thm)],[f2652,f1158]) ).
fof(f2654,plain,
( spl0_63
| ~ spl0_135
| ~ spl0_139 ),
inference(split_clause,[status(thm)],[f2653,f846,f1144,f1157]) ).
fof(f2655,plain,
( op1(e13,e12) != e13
| spl0_135 ),
inference(forward_demodulation,[status(thm)],[f2147,f1146]) ).
fof(f2659,plain,
( op1(e12,e10) = e12
| ~ spl0_142 ),
inference(backward_demodulation,[status(thm)],[f2459,f1168]) ).
fof(f2661,plain,
op1(e12,e12) != e10,
inference(forward_demodulation,[status(thm)],[f2459,f157]) ).
fof(f2662,plain,
op1(e12,e11) != e10,
inference(forward_demodulation,[status(thm)],[f2459,f156]) ).
fof(f2663,plain,
op1(e10,e13) != e10,
inference(forward_demodulation,[status(thm)],[f2459,f135]) ).
fof(f2665,plain,
( e12 != op1(e11,e13)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f701,f148]) ).
fof(f2666,plain,
op1(e11,e13) != e10,
inference(forward_demodulation,[status(thm)],[f2459,f137]) ).
fof(f2667,plain,
( e12 != op1(e12,e10)
| ~ spl0_18 ),
inference(forward_demodulation,[status(thm)],[f701,f119]) ).
fof(f2670,plain,
( op1(e10,e10) != e11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f672,f141]) ).
fof(f2674,plain,
( h1(e11) != op2(e20,h1(e13))
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f270,f2139]) ).
fof(f2675,plain,
( h1(e11) != op2(e20,e20)
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f270,f2674]) ).
fof(f2676,plain,
( h1(e11) != h1(e11)
| spl0_177 ),
inference(forward_demodulation,[status(thm)],[f272,f2675]) ).
fof(f2677,plain,
( $false
| spl0_177 ),
inference(trivial_equality_resolution,[status(esa)],[f2676]) ).
fof(f2678,plain,
spl0_177,
inference(contradiction_clause,[status(thm)],[f2677]) ).
fof(f2682,plain,
( h2(e11) != op2(e21,h2(e13))
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f274,f2140]) ).
fof(f2683,plain,
( h2(e11) != op2(e21,e21)
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f274,f2682]) ).
fof(f2684,plain,
( h2(e11) != h2(e11)
| spl0_200 ),
inference(forward_demodulation,[status(thm)],[f276,f2683]) ).
fof(f2685,plain,
( $false
| spl0_200 ),
inference(trivial_equality_resolution,[status(esa)],[f2684]) ).
fof(f2686,plain,
spl0_200,
inference(contradiction_clause,[status(thm)],[f2685]) ).
fof(f2690,plain,
( h3(e11) != op2(e22,h3(e13))
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f278,f2143]) ).
fof(f2691,plain,
( h3(e11) != op2(e22,e22)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f278,f2690]) ).
fof(f2692,plain,
( h3(e11) != h3(e11)
| spl0_223 ),
inference(forward_demodulation,[status(thm)],[f280,f2691]) ).
fof(f2693,plain,
( $false
| spl0_223 ),
inference(trivial_equality_resolution,[status(esa)],[f2692]) ).
fof(f2694,plain,
spl0_223,
inference(contradiction_clause,[status(thm)],[f2693]) ).
fof(f2698,plain,
( e21 != op2(h4(e13),h4(e13))
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f2341,f2144]) ).
fof(f2699,plain,
( e21 != op2(e23,h4(e13))
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f282,f2698]) ).
fof(f2700,plain,
( e21 != op2(e23,e23)
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f282,f2699]) ).
fof(f2701,plain,
( e21 != e21
| spl0_246 ),
inference(forward_demodulation,[status(thm)],[f268,f2700]) ).
fof(f2702,plain,
( $false
| spl0_246 ),
inference(trivial_equality_resolution,[status(esa)],[f2701]) ).
fof(f2703,plain,
spl0_246,
inference(contradiction_clause,[status(thm)],[f2702]) ).
fof(f2710,plain,
( h2(e12) != op2(e21,h2(e11))
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f274,f2149]) ).
fof(f2711,plain,
( h2(e12) != h2(e12)
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f2174,f2710]) ).
fof(f2712,plain,
( $false
| spl0_198 ),
inference(trivial_equality_resolution,[status(esa)],[f2711]) ).
fof(f2713,plain,
spl0_198,
inference(contradiction_clause,[status(thm)],[f2712]) ).
fof(f2716,plain,
( h3(e12) != op2(e22,h3(e11))
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f278,f2151]) ).
fof(f2717,plain,
( h3(e12) != h3(e12)
| spl0_221 ),
inference(forward_demodulation,[status(thm)],[f2178,f2716]) ).
fof(f2718,plain,
( $false
| spl0_221 ),
inference(trivial_equality_resolution,[status(esa)],[f2717]) ).
fof(f2719,plain,
spl0_221,
inference(contradiction_clause,[status(thm)],[f2718]) ).
fof(f2722,plain,
( e22 != op2(h4(e13),h4(e11))
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2345,f2152]) ).
fof(f2723,plain,
( e22 != op2(e23,h4(e11))
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f282,f2722]) ).
fof(f2724,plain,
( e22 != op2(e23,e21)
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2341,f2723]) ).
fof(f2725,plain,
( e22 != e22
| spl0_244 ),
inference(forward_demodulation,[status(thm)],[f2159,f2724]) ).
fof(f2726,plain,
( $false
| spl0_244 ),
inference(trivial_equality_resolution,[status(esa)],[f2725]) ).
fof(f2727,plain,
spl0_244,
inference(contradiction_clause,[status(thm)],[f2726]) ).
fof(f2732,plain,
( e20 != e20
| spl0_259 ),
inference(forward_demodulation,[status(thm)],[f270,f1568]) ).
fof(f2733,plain,
( $false
| spl0_259 ),
inference(trivial_equality_resolution,[status(esa)],[f2732]) ).
fof(f2734,plain,
spl0_259,
inference(contradiction_clause,[status(thm)],[f2733]) ).
fof(f2735,plain,
( e20 != e20
| ~ spl0_145
| spl0_258 ),
inference(forward_demodulation,[status(thm)],[f2630,f1564]) ).
fof(f2736,plain,
( $false
| ~ spl0_145
| spl0_258 ),
inference(trivial_equality_resolution,[status(esa)],[f2735]) ).
fof(f2737,plain,
( ~ spl0_145
| spl0_258 ),
inference(contradiction_clause,[status(thm)],[f2736]) ).
fof(f2738,plain,
( h1(e12) != op2(e20,h1(e11))
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f270,f2148]) ).
fof(f2741,plain,
( h4(op1(e12,e11)) != op2(e22,h4(e11))
| spl0_240 ),
inference(forward_demodulation,[status(thm)],[f2345,f1492]) ).
fof(f2742,plain,
( h4(op1(e12,e11)) != op2(e22,e21)
| spl0_240 ),
inference(forward_demodulation,[status(thm)],[f2341,f2741]) ).
fof(f2746,plain,
( e23 != e23
| spl0_253 ),
inference(forward_demodulation,[status(thm)],[f282,f1534]) ).
fof(f2747,plain,
( $false
| spl0_253 ),
inference(trivial_equality_resolution,[status(esa)],[f2746]) ).
fof(f2748,plain,
spl0_253,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2754,plain,
op2(e22,e21) != h4(e10),
inference(backward_demodulation,[status(thm)],[f2186,f204]) ).
fof(f2757,plain,
e20 = h4(e10),
inference(forward_demodulation,[status(thm)],[f2186,f2474]) ).
fof(f2758,plain,
e20 = op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f2757,f2186]) ).
fof(f2759,plain,
( h4(op1(e13,e10)) != op2(e23,e20)
| spl0_243 ),
inference(backward_demodulation,[status(thm)],[f2757,f2184]) ).
fof(f2764,plain,
op2(e22,e21) != e20,
inference(forward_demodulation,[status(thm)],[f2757,f2754]) ).
fof(f2775,plain,
( h4(op1(e10,e10)) != op2(e20,h4(e10))
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2757,f1465]) ).
fof(f2776,plain,
( h4(op1(e10,e10)) != op2(e20,e20)
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2757,f2775]) ).
fof(f2777,plain,
( h4(op1(e10,e10)) != h1(e11)
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f272,f2776]) ).
fof(f2778,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f278,f1413]) ).
fof(f2779,plain,
( h3(op1(e13,e10)) != op2(e22,h3(e10))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f278,f1428]) ).
fof(f2782,plain,
( op2(e22,e22) = e22
| ~ spl0_98
| ~ spl0_147 ),
inference(backward_demodulation,[status(thm)],[f993,f1190]) ).
fof(f2783,plain,
( h3(e11) = e22
| ~ spl0_98
| ~ spl0_147 ),
inference(forward_demodulation,[status(thm)],[f280,f2782]) ).
fof(f2784,plain,
( $false
| spl0_289
| ~ spl0_98
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[status(thm)],[f2783,f1688]) ).
fof(f2785,plain,
( spl0_289
| ~ spl0_98
| ~ spl0_147 ),
inference(contradiction_clause,[status(thm)],[f2784]) ).
fof(f2787,plain,
( e22 != h3(e11)
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f993,f2348]) ).
fof(f2788,plain,
( ~ spl0_289
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2787,f1686,f992]) ).
fof(f2789,plain,
( op2(e21,e20) != e22
| ~ spl0_98 ),
inference(backward_demodulation,[status(thm)],[f993,f167]) ).
fof(f2790,plain,
( ~ spl0_82
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2789,f940,f992]) ).
fof(f2792,plain,
( $false
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f2255,f2607]) ).
fof(f2793,plain,
~ spl0_86,
inference(contradiction_clause,[status(thm)],[f2792]) ).
fof(f2794,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f2764]) ).
fof(f2795,plain,
~ spl0_100,
inference(contradiction_clause,[status(thm)],[f2794]) ).
fof(f2798,plain,
( ~ spl0_94
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f2027,f979,f966]) ).
fof(f2801,plain,
( ~ spl0_74
| ~ spl0_90 ),
inference(split_clause,[status(thm)],[f2039,f914,f966]) ).
fof(f2802,plain,
( e20 = e23
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f2758,f1035]) ).
fof(f2803,plain,
( $false
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f2802,f220]) ).
fof(f2804,plain,
~ spl0_111,
inference(contradiction_clause,[status(thm)],[f2803]) ).
fof(f2805,plain,
( $false
| spl0_265
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2235,f1592]) ).
fof(f2806,plain,
( spl0_265
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2805]) ).
fof(f2807,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[status(thm)],[f1071,f2257]) ).
fof(f2808,plain,
~ spl0_122,
inference(contradiction_clause,[status(thm)],[f2807]) ).
fof(f2810,plain,
( e20 = e22
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f2758,f1032]) ).
fof(f2811,plain,
( $false
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f219]) ).
fof(f2812,plain,
~ spl0_110,
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2813,plain,
( ~ spl0_80
| ~ spl0_108
| ~ spl0_16
| spl0_235 ),
inference(split_clause,[status(thm)],[f2601,f934,f1025,f694,f1475]) ).
fof(f2814,plain,
( ~ spl0_68
| ~ spl0_108
| ~ spl0_4
| spl0_232 ),
inference(split_clause,[status(thm)],[f2605,f895,f1025,f655,f1466]) ).
fof(f2815,plain,
( h4(op1(e12,e10)) != e22
| ~ spl0_98
| ~ spl0_108
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f993,f2650]) ).
fof(f2817,plain,
( $false
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f925,f2158]) ).
fof(f2818,plain,
~ spl0_77,
inference(contradiction_clause,[status(thm)],[f2817]) ).
fof(f2820,plain,
( e22 = e23
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_demodulation,[status(thm)],[f993,f996]) ).
fof(f2821,plain,
( $false
| ~ spl0_98
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f2820,f223]) ).
fof(f2822,plain,
( ~ spl0_98
| ~ spl0_99 ),
inference(contradiction_clause,[status(thm)],[f2821]) ).
fof(f2824,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f902,f2364]) ).
fof(f2825,plain,
~ spl0_70,
inference(contradiction_clause,[status(thm)],[f2824]) ).
fof(f2826,plain,
( e20 = e21
| ~ spl0_109 ),
inference(forward_demodulation,[status(thm)],[f2758,f1029]) ).
fof(f2827,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f2826,f218]) ).
fof(f2828,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f2827]) ).
fof(f2830,plain,
( h4(e12) = op2(h4(e11),h4(e10))
| ~ spl0_18
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f701,f1476]) ).
fof(f2831,plain,
( e22 = op2(h4(e11),h4(e10))
| ~ spl0_18
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2345,f2830]) ).
fof(f2832,plain,
( e22 = op2(e21,h4(e10))
| ~ spl0_18
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2341,f2831]) ).
fof(f2833,plain,
( e22 = op2(e21,e20)
| ~ spl0_18
| ~ spl0_235 ),
inference(forward_demodulation,[status(thm)],[f2757,f2832]) ).
fof(f2834,plain,
( e21 = e22
| ~ spl0_126 ),
inference(forward_demodulation,[status(thm)],[f268,f1084]) ).
fof(f2835,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f2834,f221]) ).
fof(f2836,plain,
~ spl0_126,
inference(contradiction_clause,[status(thm)],[f2835]) ).
fof(f2841,plain,
( $false
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[status(thm)],[f977,f2157]) ).
fof(f2842,plain,
~ spl0_93,
inference(contradiction_clause,[status(thm)],[f2841]) ).
fof(f2843,plain,
( $false
| spl0_261
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f2382,f1576]) ).
fof(f2844,plain,
( spl0_261
| ~ spl0_65 ),
inference(contradiction_clause,[status(thm)],[f2843]) ).
fof(f2845,plain,
( h4(op1(e10,e11)) = op2(e20,h4(e11))
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2757,f1467]) ).
fof(f2846,plain,
( h4(op1(e10,e11)) = op2(e20,e21)
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2341,f2845]) ).
fof(f2848,plain,
( ~ spl0_108
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f2009,f1025,f986]) ).
fof(f2849,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f2160]) ).
fof(f2850,plain,
~ spl0_114,
inference(contradiction_clause,[status(thm)],[f2849]) ).
fof(f2851,plain,
( h3(e11) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f280,f1019]) ).
fof(f2855,plain,
( op2(e22,e21) = e22
| ~ spl0_101
| ~ spl0_151 ),
inference(backward_demodulation,[status(thm)],[f1003,f1203]) ).
fof(f2856,plain,
( spl0_102
| ~ spl0_101
| ~ spl0_151 ),
inference(split_clause,[status(thm)],[f2855,f1005,f1002,f1202]) ).
fof(f2858,plain,
( op2(e20,e21) != e21
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f1003,f171]) ).
fof(f2863,plain,
( op2(e21,e22) != e20
| ~ spl0_120 ),
inference(backward_demodulation,[status(thm)],[f1065,f180]) ).
fof(f2867,plain,
( h3(e13) != op2(e22,h3(e10))
| ~ spl0_51
| spl0_220 ),
inference(backward_demodulation,[status(thm)],[f808,f2779]) ).
fof(f2868,plain,
( e22 != op2(e22,h3(e10))
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f278,f2867]) ).
fof(f2875,plain,
( op1(e13,e13) = e13
| ~ spl0_51
| ~ spl0_131 ),
inference(backward_demodulation,[status(thm)],[f808,f1132]) ).
fof(f2876,plain,
( spl0_63
| ~ spl0_51
| ~ spl0_131 ),
inference(split_clause,[status(thm)],[f2875,f846,f807,f1131]) ).
fof(f2877,plain,
( op1(e10,e10) != e13
| ~ spl0_51 ),
inference(backward_demodulation,[status(thm)],[f808,f118]) ).
fof(f2878,plain,
( ~ spl0_3
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f2877,f651,f807]) ).
fof(f2883,plain,
( h3(op1(e13,e12)) != op2(e22,h3(e12))
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f278,f1434]) ).
fof(f2884,plain,
( h4(op1(e13,e12)) != op2(e23,e22)
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f2345,f2467]) ).
fof(f2885,plain,
( h4(op1(e13,e12)) != e20
| ~ spl0_120
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f1065,f2884]) ).
fof(f2888,plain,
( e10 = e12
| ~ spl0_46 ),
inference(forward_demodulation,[status(thm)],[f2459,f792]) ).
fof(f2889,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2888,f213]) ).
fof(f2890,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2889]) ).
fof(f2891,plain,
( e11 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f265,f844]) ).
fof(f2892,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2891,f215]) ).
fof(f2893,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2892]) ).
fof(f2895,plain,
( h1(e10) != op2(h1(e12),e20)
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f2459,f2468]) ).
fof(f2896,plain,
( h1(e10) != h1(e10)
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f2475,f2895]) ).
fof(f2897,plain,
( $false
| spl0_173 ),
inference(trivial_equality_resolution,[status(esa)],[f2896]) ).
fof(f2898,plain,
spl0_173,
inference(contradiction_clause,[status(thm)],[f2897]) ).
fof(f2901,plain,
( h2(e10) != op2(h2(e12),e21)
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f2459,f2469]) ).
fof(f2902,plain,
( h2(e10) != h2(e10)
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f2478,f2901]) ).
fof(f2903,plain,
( $false
| spl0_196 ),
inference(trivial_equality_resolution,[status(esa)],[f2902]) ).
fof(f2904,plain,
spl0_196,
inference(contradiction_clause,[status(thm)],[f2903]) ).
fof(f2907,plain,
( h3(e10) != op2(h3(e12),h3(e13))
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f2459,f1425]) ).
fof(f2908,plain,
( h3(e10) != op2(h3(e12),e22)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f278,f2907]) ).
fof(f2909,plain,
( h3(e10) != h3(e10)
| spl0_219 ),
inference(forward_demodulation,[status(thm)],[f2482,f2908]) ).
fof(f2910,plain,
( $false
| spl0_219 ),
inference(trivial_equality_resolution,[status(esa)],[f2909]) ).
fof(f2911,plain,
spl0_219,
inference(contradiction_clause,[status(thm)],[f2910]) ).
fof(f2914,plain,
( h4(e10) != op2(h4(e12),e23)
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2459,f2470]) ).
fof(f2915,plain,
( e20 != op2(h4(e12),e23)
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2757,f2914]) ).
fof(f2916,plain,
( e20 != op2(e22,e23)
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2345,f2915]) ).
fof(f2917,plain,
( e20 != e20
| spl0_242 ),
inference(forward_demodulation,[status(thm)],[f2758,f2916]) ).
fof(f2918,plain,
( $false
| spl0_242 ),
inference(trivial_equality_resolution,[status(esa)],[f2917]) ).
fof(f2919,plain,
spl0_242,
inference(contradiction_clause,[status(thm)],[f2918]) ).
fof(f2925,plain,
( h2(e13) != op2(h2(e10),e21)
| ~ spl0_15
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f691,f2169]) ).
fof(f2926,plain,
( e21 != op2(h2(e10),e21)
| ~ spl0_15
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f274,f2925]) ).
fof(f2927,plain,
( h1(e13) != op2(h1(e10),e20)
| ~ spl0_15
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f691,f2162]) ).
fof(f2928,plain,
( e20 != op2(h1(e10),e20)
| ~ spl0_15
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f270,f2927]) ).
fof(f2929,plain,
( e13 != op1(e11,e13)
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f691,f134]) ).
fof(f2932,plain,
( op1(e10,e13) = e10
| ~ spl0_15
| ~ spl0_140 ),
inference(backward_demodulation,[status(thm)],[f691,f1162]) ).
fof(f2933,plain,
( spl0_12
| ~ spl0_15
| ~ spl0_140 ),
inference(split_clause,[status(thm)],[f2932,f681,f690,f1161]) ).
fof(f2937,plain,
( h3(e13) != op2(h3(e10),h3(e13))
| ~ spl0_15
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f691,f1401]) ).
fof(f2938,plain,
( e22 != op2(h3(e10),h3(e13))
| ~ spl0_15
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f278,f2937]) ).
fof(f2939,plain,
( e22 != op2(h3(e10),e22)
| ~ spl0_15
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f278,f2938]) ).
fof(f2940,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f2666]) ).
fof(f2941,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f2940]) ).
fof(f2942,plain,
( $false
| ~ spl0_18
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f740,f2665]) ).
fof(f2943,plain,
( ~ spl0_18
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f2942]) ).
fof(f2945,plain,
( h4(e10) != e20
| ~ spl0_56
| ~ spl0_120
| spl0_245 ),
inference(backward_demodulation,[status(thm)],[f825,f2885]) ).
fof(f2946,plain,
( e20 != e20
| ~ spl0_56
| ~ spl0_120
| spl0_245 ),
inference(forward_demodulation,[status(thm)],[f2757,f2945]) ).
fof(f2947,plain,
( $false
| ~ spl0_56
| ~ spl0_120
| spl0_245 ),
inference(trivial_equality_resolution,[status(esa)],[f2946]) ).
fof(f2948,plain,
( ~ spl0_56
| ~ spl0_120
| spl0_245 ),
inference(contradiction_clause,[status(thm)],[f2947]) ).
fof(f2950,plain,
( h2(e10) != op2(e21,h2(e12))
| ~ spl0_56
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f825,f2464]) ).
fof(f2960,plain,
( $false
| ~ spl0_9
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f2670]) ).
fof(f2961,plain,
( ~ spl0_9
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2960]) ).
fof(f2963,plain,
( op1(e10,e12) != e10
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f825,f130]) ).
fof(f2967,plain,
( e11 != op1(e12,e12)
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f763,f155]) ).
fof(f2968,plain,
( ~ spl0_41
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2967,f775,f762]) ).
fof(f2969,plain,
( op1(e11,e11) != e11
| ~ spl0_37 ),
inference(backward_demodulation,[status(thm)],[f763,f125]) ).
fof(f2970,plain,
( ~ spl0_21
| ~ spl0_37 ),
inference(split_clause,[status(thm)],[f2969,f710,f762]) ).
fof(f2977,plain,
( op1(e12,e11) = e12
| ~ spl0_37
| ~ spl0_134 ),
inference(backward_demodulation,[status(thm)],[f763,f1142]) ).
fof(f2978,plain,
( spl0_38
| ~ spl0_37
| ~ spl0_134 ),
inference(split_clause,[status(thm)],[f2977,f765,f762,f1141]) ).
fof(f2979,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f737,f2145]) ).
fof(f2980,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f2979]) ).
fof(f2981,plain,
( ~ spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f2929,f742,f690]) ).
fof(f2989,plain,
( op1(e11,e11) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f724,f149]) ).
fof(f2990,plain,
( ~ spl0_21
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2989,f710,f723]) ).
fof(f2991,plain,
( e11 != op1(e12,e12)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f724,f131]) ).
fof(f2992,plain,
( ~ spl0_41
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2991,f775,f723]) ).
fof(f2994,plain,
( op1(e11,e11) = e11
| ~ spl0_25
| ~ spl0_137 ),
inference(backward_demodulation,[status(thm)],[f724,f1152]) ).
fof(f2999,plain,
( ~ spl0_30
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2122,f739,f726]) ).
fof(f3000,plain,
( ~ spl0_10
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f2134,f674,f726]) ).
fof(f3003,plain,
( op1(e12,e13) = e12
| ~ spl0_43
| ~ spl0_138 ),
inference(backward_demodulation,[status(thm)],[f782,f1155]) ).
fof(f3004,plain,
( spl0_46
| ~ spl0_43
| ~ spl0_138 ),
inference(split_clause,[status(thm)],[f3003,f791,f781,f1154]) ).
fof(f3005,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| ~ spl0_43
| spl0_195 ),
inference(backward_demodulation,[status(thm)],[f782,f1349]) ).
fof(f3006,plain,
( e21 != op2(h2(e12),h2(e12))
| ~ spl0_43
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f274,f3005]) ).
fof(f3024,plain,
( op1(e11,e12) != e13
| ~ spl0_43 ),
inference(forward_demodulation,[status(thm)],[f782,f131]) ).
fof(f3036,plain,
( op1(e10,e10) = e10
| ~ spl0_4
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f656,f1136]) ).
fof(f3037,plain,
( spl0_0
| ~ spl0_4
| ~ spl0_132 ),
inference(split_clause,[status(thm)],[f3036,f642,f655,f1135]) ).
fof(f3041,plain,
( op1(e10,e10) != e12
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f675,f141]) ).
fof(f3042,plain,
( h1(e12) != op2(h1(e10),h1(e12))
| ~ spl0_10
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f675,f1252]) ).
fof(f3043,plain,
( op2(e22,e20) = e22
| ~ spl0_159 ),
inference(forward_demodulation,[status(thm)],[f2758,f1229]) ).
fof(f3051,plain,
( h4(e12) != e22
| ~ spl0_34
| ~ spl0_98
| ~ spl0_108
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f753,f2815]) ).
fof(f3052,plain,
( e22 != e22
| ~ spl0_34
| ~ spl0_98
| ~ spl0_108
| spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2345,f3051]) ).
fof(f3053,plain,
( $false
| ~ spl0_34
| ~ spl0_98
| ~ spl0_108
| spl0_239 ),
inference(trivial_equality_resolution,[status(esa)],[f3052]) ).
fof(f3054,plain,
( ~ spl0_34
| ~ spl0_98
| ~ spl0_108
| spl0_239 ),
inference(contradiction_clause,[status(thm)],[f3053]) ).
fof(f3055,plain,
( h4(e12) = op2(h4(e12),h4(e10))
| ~ spl0_34
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f753,f1488]) ).
fof(f3056,plain,
( e22 = op2(h4(e12),h4(e10))
| ~ spl0_34
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2345,f3055]) ).
fof(f3057,plain,
( e22 = op2(e22,h4(e10))
| ~ spl0_34
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2345,f3056]) ).
fof(f3058,plain,
( e22 = op2(e22,e20)
| ~ spl0_34
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f2757,f3057]) ).
fof(f3062,plain,
( h3(e10) = op2(e22,e22)
| ~ spl0_290 ),
inference(backward_demodulation,[status(thm)],[f1691,f2482]) ).
fof(f3063,plain,
( h3(e10) = h3(e11)
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f280,f3062]) ).
fof(f3065,plain,
( e22 = op2(e22,h3(e11))
| ~ spl0_290 ),
inference(backward_demodulation,[status(thm)],[f1691,f2178]) ).
fof(f3071,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_274 ),
inference(backward_demodulation,[status(thm)],[f1627,f2478]) ).
fof(f3072,plain,
( h2(e10) = h2(e11)
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f276,f3071]) ).
fof(f3074,plain,
( e21 = op2(e21,h2(e11))
| ~ spl0_274 ),
inference(backward_demodulation,[status(thm)],[f1627,f2174]) ).
fof(f3075,plain,
( h1(e12) != h1(e12)
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f2168,f2738]) ).
fof(f3076,plain,
( $false
| spl0_175 ),
inference(trivial_equality_resolution,[status(esa)],[f3075]) ).
fof(f3077,plain,
spl0_175,
inference(contradiction_clause,[status(thm)],[f3076]) ).
fof(f3083,plain,
( h4(e13) != op2(e23,e20)
| ~ spl0_51
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f808,f2759]) ).
fof(f3084,plain,
( e23 != op2(e23,e20)
| ~ spl0_51
| spl0_243 ),
inference(forward_demodulation,[status(thm)],[f282,f3083]) ).
fof(f3087,plain,
( op2(e21,e20) = e21
| ~ spl0_80
| ~ spl0_146 ),
inference(backward_demodulation,[status(thm)],[f935,f1187]) ).
fof(f3088,plain,
( spl0_81
| ~ spl0_80
| ~ spl0_146 ),
inference(split_clause,[status(thm)],[f3087,f937,f934,f1186]) ).
fof(f3093,plain,
( op2(e21,e21) = e21
| ~ spl0_89
| ~ spl0_154 ),
inference(backward_demodulation,[status(thm)],[f964,f1213]) ).
fof(f3094,plain,
( h2(e11) = e21
| ~ spl0_89
| ~ spl0_154 ),
inference(forward_demodulation,[status(thm)],[f276,f3093]) ).
fof(f3095,plain,
( $false
| spl0_273
| ~ spl0_89
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[status(thm)],[f3094,f1624]) ).
fof(f3096,plain,
( spl0_273
| ~ spl0_89
| ~ spl0_154 ),
inference(contradiction_clause,[status(thm)],[f3095]) ).
fof(f3097,plain,
( op2(e20,e22) != e21
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f964,f176]) ).
fof(f3098,plain,
( h2(e11) != e21
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f964,f2354]) ).
fof(f3099,plain,
( ~ spl0_273
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f3098,f1622,f963]) ).
fof(f3100,plain,
( e21 != h3(e11)
| ~ spl0_89 ),
inference(backward_demodulation,[status(thm)],[f964,f2355]) ).
fof(f3102,plain,
( h2(e11) != e21
| ~ spl0_101 ),
inference(backward_demodulation,[status(thm)],[f1003,f2358]) ).
fof(f3103,plain,
( ~ spl0_273
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f3102,f1622,f1002]) ).
fof(f3106,plain,
( $false
| spl0_205
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f1380]) ).
fof(f3107,plain,
( spl0_205
| ~ spl0_87 ),
inference(contradiction_clause,[status(thm)],[f3106]) ).
fof(f3108,plain,
( $false
| spl0_228
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f2289,f1453]) ).
fof(f3109,plain,
( spl0_228
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f3108]) ).
fof(f3116,plain,
( op2(e20,e23) = e20
| ~ spl0_79
| ~ spl0_157 ),
inference(backward_demodulation,[status(thm)],[f931,f1223]) ).
fof(f3117,plain,
( spl0_76
| ~ spl0_79
| ~ spl0_157 ),
inference(split_clause,[status(thm)],[f3116,f921,f930,f1222]) ).
fof(f3121,plain,
( $false
| ~ spl0_51
| spl0_243
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f1048,f3084]) ).
fof(f3122,plain,
( ~ spl0_51
| spl0_243
| ~ spl0_115 ),
inference(contradiction_clause,[status(thm)],[f3121]) ).
fof(f3124,plain,
( e12 != op1(e12,e12)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f675,f129]) ).
fof(f3126,plain,
( h2(op1(e12,e12)) != op2(e21,h2(e12))
| ~ spl0_274
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1627,f1349]) ).
fof(f3127,plain,
( h2(op1(e12,e12)) != op2(e21,e21)
| ~ spl0_274
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1627,f3126]) ).
fof(f3128,plain,
( h2(op1(e12,e12)) != h2(e11)
| ~ spl0_274
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f276,f3127]) ).
fof(f3136,plain,
( e21 != op2(e21,e21)
| ~ spl0_274
| ~ spl0_59
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1627,f2370]) ).
fof(f3137,plain,
( e21 != h2(e11)
| ~ spl0_274
| ~ spl0_59
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f276,f3136]) ).
fof(f3142,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f2663]) ).
fof(f3143,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f3142]) ).
fof(f3145,plain,
( e12 = e13
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_demodulation,[status(thm)],[f753,f756]) ).
fof(f3146,plain,
( $false
| ~ spl0_34
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f3145,f217]) ).
fof(f3147,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(contradiction_clause,[status(thm)],[f3146]) ).
fof(f3150,plain,
( spl0_21
| ~ spl0_25
| ~ spl0_137 ),
inference(split_clause,[status(thm)],[f2994,f710,f723,f1151]) ).
fof(f3164,plain,
( ~ spl0_34
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f2667,f752,f700]) ).
fof(f3167,plain,
( spl0_82
| ~ spl0_18
| ~ spl0_235 ),
inference(split_clause,[status(thm)],[f2833,f940,f700,f1475]) ).
fof(f3169,plain,
( e21 != op2(e21,h2(e12))
| ~ spl0_274
| ~ spl0_43
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1627,f3006]) ).
fof(f3170,plain,
( e21 != op2(e21,e21)
| ~ spl0_274
| ~ spl0_43
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1627,f3169]) ).
fof(f3171,plain,
( e21 != h2(e11)
| ~ spl0_274
| ~ spl0_43
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f276,f3170]) ).
fof(f3188,plain,
( e23 = e22
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f931,f928]) ).
fof(f3189,plain,
( $false
| ~ spl0_79
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f3188,f223]) ).
fof(f3190,plain,
( ~ spl0_79
| ~ spl0_78 ),
inference(contradiction_clause,[status(thm)],[f3189]) ).
fof(f3198,plain,
( ~ spl0_43
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f2517,f781,f677]) ).
fof(f3204,plain,
( ~ spl0_8
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f2963,f668,f824]) ).
fof(f3205,plain,
( h2(e11) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f276,f951]) ).
fof(f3206,plain,
( ~ spl0_14
| ~ spl0_30 ),
inference(split_clause,[status(thm)],[f2473,f687,f739]) ).
fof(f3211,plain,
( e12 = e11
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f753,f750]) ).
fof(f3212,plain,
( $false
| ~ spl0_34
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f3211,f215]) ).
fof(f3213,plain,
( ~ spl0_34
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f3212]) ).
fof(f3217,plain,
( op2(e20,e20) = e20
| ~ spl0_68
| ~ spl0_149 ),
inference(backward_demodulation,[status(thm)],[f896,f1197]) ).
fof(f3218,plain,
( spl0_64
| ~ spl0_68
| ~ spl0_149 ),
inference(split_clause,[status(thm)],[f3217,f882,f895,f1196]) ).
fof(f3221,plain,
( $false
| spl0_257
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f2211,f1560]) ).
fof(f3222,plain,
( spl0_257
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f3221]) ).
fof(f3223,plain,
( spl0_123
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f2617,f1073,f1205]) ).
fof(f3224,plain,
( ~ spl0_228
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f2621,f1451,f1205]) ).
fof(f3225,plain,
( ~ spl0_88
| ~ spl0_80 ),
inference(split_clause,[status(thm)],[f1999,f960,f934]) ).
fof(f3227,plain,
( e21 = e23
| ~ spl0_127 ),
inference(forward_demodulation,[status(thm)],[f268,f1087]) ).
fof(f3228,plain,
( $false
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f3227,f222]) ).
fof(f3229,plain,
~ spl0_127,
inference(contradiction_clause,[status(thm)],[f3228]) ).
fof(f3230,plain,
( h1(e11) != e20
| ~ spl0_68 ),
inference(backward_demodulation,[status(thm)],[f896,f2363]) ).
fof(f3231,plain,
( ~ spl0_257
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f3230,f1558,f895]) ).
fof(f3240,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e21)
| ~ spl0_274
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1627,f1337]) ).
fof(f3254,plain,
( h3(e10) = op2(e22,e22)
| ~ spl0_290 ),
inference(backward_demodulation,[status(thm)],[f3063,f280]) ).
fof(f3257,plain,
( e22 = op2(e22,h3(e10))
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f3063,f3065]) ).
fof(f3258,plain,
( h2(op1(e11,e12)) != op2(h2(e10),e21)
| ~ spl0_274
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f3072,f3240]) ).
fof(f3259,plain,
( h2(op1(e11,e10)) != op2(h2(e10),h2(e10))
| ~ spl0_274
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f3072,f1331]) ).
fof(f3267,plain,
( e21 = op2(e21,h2(e10))
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f3072,f3074]) ).
fof(f3274,plain,
( op2(e21,e20) != e23
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f1048,f168]) ).
fof(f3275,plain,
( op2(e23,e23) = e23
| ~ spl0_115
| ~ spl0_148 ),
inference(backward_demodulation,[status(thm)],[f1048,f1193]) ).
fof(f3276,plain,
( spl0_127
| ~ spl0_115
| ~ spl0_148 ),
inference(split_clause,[status(thm)],[f3275,f1086,f1047,f1192]) ).
fof(f3282,plain,
( op1(e10,e12) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f724,f128]) ).
fof(f3284,plain,
( op1(e11,e10) != e11
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f724,f147]) ).
fof(f3285,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f3284,f697,f723]) ).
fof(f3290,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f773,f2661]) ).
fof(f3291,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f3290]) ).
fof(f3292,plain,
( ~ spl0_0
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f2227,f642,f798]) ).
fof(f3293,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2100,f781,f833]) ).
fof(f3295,plain,
( ~ spl0_43
| ~ spl0_39 ),
inference(split_clause,[status(thm)],[f2521,f781,f768]) ).
fof(f3297,plain,
( e11 = e10
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f724,f721]) ).
fof(f3298,plain,
( $false
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f3297,f212]) ).
fof(f3299,plain,
( ~ spl0_25
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f3298]) ).
fof(f3300,plain,
( spl0_34
| ~ spl0_142 ),
inference(split_clause,[status(thm)],[f2659,f752,f1167]) ).
fof(f3313,plain,
( e10 != e10
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f2459,f2086]) ).
fof(f3314,plain,
( $false
| ~ spl0_32 ),
inference(trivial_equality_resolution,[status(esa)],[f3313]) ).
fof(f3315,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f3314]) ).
fof(f3316,plain,
( e22 = e21
| ~ spl0_98
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f993,f990]) ).
fof(f3317,plain,
( $false
| ~ spl0_98
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f3316,f221]) ).
fof(f3318,plain,
( ~ spl0_98
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f3317]) ).
fof(f3319,plain,
( e23 = e21
| ~ spl0_115
| ~ spl0_113 ),
inference(forward_demodulation,[status(thm)],[f1048,f1042]) ).
fof(f3320,plain,
( $false
| ~ spl0_115
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f3319,f222]) ).
fof(f3321,plain,
( ~ spl0_115
| ~ spl0_113 ),
inference(contradiction_clause,[status(thm)],[f3320]) ).
fof(f3324,plain,
( e21 = e23
| ~ spl0_101
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f1003,f1009]) ).
fof(f3325,plain,
( $false
| ~ spl0_101
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f3324,f222]) ).
fof(f3326,plain,
( ~ spl0_101
| ~ spl0_103 ),
inference(contradiction_clause,[status(thm)],[f3325]) ).
fof(f3327,plain,
( ~ spl0_205
| ~ spl0_103 ),
inference(split_clause,[status(thm)],[f2412,f1378,f1008]) ).
fof(f3331,plain,
( ~ spl0_2
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f3041,f648,f674]) ).
fof(f3332,plain,
( ~ spl0_42
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f3124,f778,f674]) ).
fof(f3336,plain,
( $false
| spl0_182
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2287,f1307]) ).
fof(f3337,plain,
( spl0_182
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f3336]) ).
fof(f3338,plain,
( ~ spl0_27
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f3024,f729,f781]) ).
fof(f3342,plain,
( ~ spl0_75
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f2038,f917,f1073]) ).
fof(f3343,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f831,f2466]) ).
fof(f3344,plain,
~ spl0_58,
inference(contradiction_clause,[status(thm)],[f3343]) ).
fof(f3345,plain,
( ~ spl0_24
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f2070,f720,f694]) ).
fof(f3350,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f760,f2662]) ).
fof(f3351,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f3350]) ).
fof(f3356,plain,
( spl0_273
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f3205,f1622,f950]) ).
fof(f3358,plain,
( ~ spl0_123
| spl0_152 ),
inference(split_clause,[status(thm)],[f2624,f1073,f1205]) ).
fof(f3360,plain,
( ~ spl0_27
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f2101,f729,f833]) ).
fof(f3364,plain,
( e20 != e20
| spl0_292 ),
inference(forward_demodulation,[status(thm)],[f2757,f1700]) ).
fof(f3365,plain,
( $false
| spl0_292 ),
inference(trivial_equality_resolution,[status(esa)],[f3364]) ).
fof(f3366,plain,
spl0_292,
inference(contradiction_clause,[status(thm)],[f3365]) ).
fof(f3370,plain,
( op2(e20,e22) = e20
| ~ spl0_74
| ~ spl0_153 ),
inference(backward_demodulation,[status(thm)],[f915,f1210]) ).
fof(f3371,plain,
( spl0_72
| ~ spl0_74
| ~ spl0_153 ),
inference(split_clause,[status(thm)],[f3370,f908,f914,f1209]) ).
fof(f3377,plain,
( op2(e21,e22) = e21
| ~ spl0_94
| ~ spl0_158 ),
inference(backward_demodulation,[status(thm)],[f980,f1226]) ).
fof(f3378,plain,
( spl0_89
| ~ spl0_94
| ~ spl0_158 ),
inference(split_clause,[status(thm)],[f3377,f963,f979,f1225]) ).
fof(f3384,plain,
( ~ spl0_73
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f3097,f911,f963]) ).
fof(f3385,plain,
( ~ spl0_285
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f3100,f1670,f963]) ).
fof(f3386,plain,
( ~ spl0_205
| ~ spl0_71 ),
inference(split_clause,[status(thm)],[f2431,f1378,f904]) ).
fof(f3388,plain,
( ~ spl0_69
| ~ spl0_101 ),
inference(split_clause,[status(thm)],[f2858,f898,f1002]) ).
fof(f3392,plain,
( ~ spl0_88
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f2863,f960,f1064]) ).
fof(f3403,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f2224]) ).
fof(f3404,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f3403]) ).
fof(f3405,plain,
( ~ spl0_228
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f2405,f1451,f969]) ).
fof(f3410,plain,
( ~ spl0_11
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f2512,f677,f729]) ).
fof(f3411,plain,
( spl0_289
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f2851,f1686,f1018]) ).
fof(f3418,plain,
( op1(e11,e10) != e11
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f711,f146]) ).
fof(f3423,plain,
( h1(e11) != op2(h1(e11),h1(e11))
| ~ spl0_21
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f711,f1261]) ).
fof(f3424,plain,
( h3(e12) != op2(h3(e11),e22)
| ~ spl0_30
| spl0_215 ),
inference(backward_demodulation,[status(thm)],[f740,f2778]) ).
fof(f3425,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl0_30
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f740,f2170]) ).
fof(f3430,plain,
( h1(e12) != op2(h1(e11),e20)
| ~ spl0_30
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f740,f2163]) ).
fof(f3432,plain,
( op1(e11,e12) = e11
| ~ spl0_30
| ~ spl0_141 ),
inference(backward_demodulation,[status(thm)],[f740,f1165]) ).
fof(f3433,plain,
( spl0_25
| ~ spl0_30
| ~ spl0_141 ),
inference(split_clause,[status(thm)],[f3432,f723,f739,f1164]) ).
fof(f3450,plain,
( e11 = e13
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f711,f717]) ).
fof(f3451,plain,
( $false
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3450,f216]) ).
fof(f3452,plain,
( ~ spl0_21
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f3451]) ).
fof(f3453,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f828,f2465]) ).
fof(f3454,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f3453]) ).
fof(f3460,plain,
( h3(e10) = h3(e11)
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f280,f3254]) ).
fof(f3472,plain,
( h1(e10) != op2(h1(e10),e21)
| ~ spl0_261
| ~ spl0_4
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f1575,f2055]) ).
fof(f3480,plain,
( h4(op1(e10,e10)) != e21
| ~ spl0_261
| spl0_231 ),
inference(backward_demodulation,[status(thm)],[f1575,f2777]) ).
fof(f3481,plain,
( h1(e12) = op2(e20,e21)
| ~ spl0_261 ),
inference(backward_demodulation,[status(thm)],[f1575,f2168]) ).
fof(f3482,plain,
( e21 = op2(e20,e20)
| ~ spl0_261 ),
inference(backward_demodulation,[status(thm)],[f1575,f272]) ).
fof(f3522,plain,
( h1(op1(e12,e10)) != op2(e20,h1(e10))
| ~ spl0_258
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f1563,f1270]) ).
fof(f3524,plain,
( h1(op1(e13,e12)) != op2(e20,e20)
| ~ spl0_258
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f1563,f2463]) ).
fof(f3528,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_258 ),
inference(backward_demodulation,[status(thm)],[f1563,f2475]) ).
fof(f3529,plain,
( h4(e11) != h2(e11)
| ~ spl0_21
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f711,f2591]) ).
fof(f3530,plain,
( e21 != h2(e11)
| ~ spl0_21
| spl0_236 ),
inference(forward_demodulation,[status(thm)],[f2341,f3529]) ).
fof(f3548,plain,
( h4(e13) != op2(e22,e21)
| ~ spl0_39
| spl0_240 ),
inference(backward_demodulation,[status(thm)],[f769,f2742]) ).
fof(f3549,plain,
( e23 != op2(e22,e21)
| ~ spl0_39
| spl0_240 ),
inference(forward_demodulation,[status(thm)],[f282,f3548]) ).
fof(f3572,plain,
( h1(e10) = e21
| ~ spl0_261
| ~ spl0_145 ),
inference(forward_demodulation,[status(thm)],[f1575,f2634]) ).
fof(f3573,plain,
( $false
| spl0_260
| ~ spl0_261
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[status(thm)],[f3572,f1572]) ).
fof(f3574,plain,
( spl0_260
| ~ spl0_261
| ~ spl0_145 ),
inference(contradiction_clause,[status(thm)],[f3573]) ).
fof(f3575,plain,
( h2(op1(e12,e10)) != op2(e21,h2(e10))
| ~ spl0_274
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f1627,f1343]) ).
fof(f3578,plain,
( h2(op1(e13,e12)) != op2(e21,e21)
| ~ spl0_274
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f1627,f2464]) ).
fof(f3579,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e21)
| ~ spl0_274
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f1627,f1325]) ).
fof(f3580,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_274 ),
inference(backward_demodulation,[status(thm)],[f1627,f2478]) ).
fof(f3581,plain,
( h2(e10) = e23
| ~ spl0_205
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f1379,f3072]) ).
fof(f3630,plain,
( e21 = op2(e21,e23)
| ~ spl0_205
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f3581,f3267]) ).
fof(f3631,plain,
( e21 = e22
| ~ spl0_94
| ~ spl0_205
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f980,f3630]) ).
fof(f3632,plain,
( $false
| ~ spl0_94
| ~ spl0_205
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[status(thm)],[f3631,f221]) ).
fof(f3633,plain,
( ~ spl0_94
| ~ spl0_205
| ~ spl0_274 ),
inference(contradiction_clause,[status(thm)],[f3632]) ).
fof(f3634,plain,
( e21 = e20
| ~ spl0_261
| ~ spl0_257 ),
inference(forward_demodulation,[status(thm)],[f1575,f1559]) ).
fof(f3635,plain,
( $false
| ~ spl0_261
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[status(thm)],[f3634,f218]) ).
fof(f3636,plain,
( ~ spl0_261
| ~ spl0_257 ),
inference(contradiction_clause,[status(thm)],[f3635]) ).
fof(f3637,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e11))
| ~ spl0_274
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1627,f1346]) ).
fof(f3640,plain,
( h2(e10) != op2(h2(e10),h2(e11))
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f656,f1322]) ).
fof(f3643,plain,
( ~ spl0_91
| ~ spl0_152 ),
inference(split_clause,[status(thm)],[f2620,f969,f1205]) ).
fof(f3647,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f3282,f671,f723]) ).
fof(f3648,plain,
( e20 = op2(e20,h1(e11))
| ~ spl0_258 ),
inference(forward_demodulation,[status(thm)],[f1563,f2168]) ).
fof(f3650,plain,
( h4(e10) = op2(e20,e21)
| ~ spl0_4
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f656,f2846]) ).
fof(f3651,plain,
( e20 = op2(e20,e21)
| ~ spl0_4
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f2757,f3650]) ).
fof(f3656,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_43
| spl0_195 ),
inference(split_clause,[status(thm)],[f3171,f1622,f1626,f781,f1347]) ).
fof(f3659,plain,
( e20 = e23
| ~ spl0_120
| ~ spl0_123 ),
inference(forward_demodulation,[status(thm)],[f1065,f1074]) ).
fof(f3660,plain,
( $false
| ~ spl0_120
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f3659,f220]) ).
fof(f3661,plain,
( ~ spl0_120
| ~ spl0_123 ),
inference(contradiction_clause,[status(thm)],[f3660]) ).
fof(f3664,plain,
( h1(op1(e12,e11)) != op2(e20,h1(e11))
| ~ spl0_258
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f1563,f1273]) ).
fof(f3667,plain,
( e20 != op2(h1(e11),e20)
| ~ spl0_258
| ~ spl0_30
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1563,f3430]) ).
fof(f3670,plain,
( e20 != op2(h1(e10),h1(e12))
| ~ spl0_258
| ~ spl0_10
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1563,f3042]) ).
fof(f3671,plain,
( e20 != op2(h1(e10),e20)
| ~ spl0_258
| ~ spl0_10
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1563,f3670]) ).
fof(f3673,plain,
( h1(e10) != op2(h1(e10),h1(e11))
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f656,f1249]) ).
fof(f3675,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f3418,f697,f710]) ).
fof(f3676,plain,
( ~ spl0_273
| ~ spl0_21
| spl0_236 ),
inference(split_clause,[status(thm)],[f3530,f1622,f710,f1478]) ).
fof(f3682,plain,
( ~ spl0_103
| ~ spl0_39
| spl0_240 ),
inference(split_clause,[status(thm)],[f3549,f1008,f768,f1490]) ).
fof(f3684,plain,
( ~ spl0_83
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f3274,f943,f1047]) ).
fof(f3689,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_59
| spl0_199 ),
inference(split_clause,[status(thm)],[f3137,f1622,f1626,f833,f1359]) ).
fof(f3702,plain,
( h1(op1(e13,e12)) != h1(e11)
| ~ spl0_258
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f272,f3524]) ).
fof(f3703,plain,
( h1(e10) = h1(e11)
| ~ spl0_258 ),
inference(forward_demodulation,[status(thm)],[f272,f3528]) ).
fof(f3704,plain,
( h1(op1(e13,e12)) != h1(e10)
| ~ spl0_258
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f3703,f3702]) ).
fof(f3711,plain,
( h2(e10) = h2(e11)
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f276,f3580]) ).
fof(f3718,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_274 ),
inference(backward_demodulation,[status(thm)],[f3711,f276]) ).
fof(f3720,plain,
( h2(op1(e12,e10)) != e21
| ~ spl0_274
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f3267,f3575]) ).
fof(f3721,plain,
( h2(op1(e13,e10)) != e21
| ~ spl0_274
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f3267,f2171]) ).
fof(f3722,plain,
( h2(e10) != op2(h2(e10),h2(e10))
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3711,f2056]) ).
fof(f3723,plain,
( h2(op1(e12,e11)) != op2(e21,h2(e10))
| ~ spl0_274
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f3711,f3637]) ).
fof(f3724,plain,
( h2(op1(e12,e11)) != e21
| ~ spl0_274
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f3267,f3723]) ).
fof(f3730,plain,
( h2(e10) = e21
| ~ spl0_274
| ~ spl0_273 ),
inference(forward_demodulation,[status(thm)],[f3711,f1623]) ).
fof(f3731,plain,
( h2(e10) != op2(h2(e10),e21)
| ~ spl0_273
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f3730,f3722]) ).
fof(f3732,plain,
( e21 != op2(h2(e10),e21)
| ~ spl0_273
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3730,f3731]) ).
fof(f3733,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3730,f3732]) ).
fof(f3734,plain,
( h2(op1(e10,e10)) != op2(h2(e10),e21)
| ~ spl0_274
| ~ spl0_273
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f3730,f1319]) ).
fof(f3735,plain,
( h2(op1(e10,e10)) != op2(e21,e21)
| ~ spl0_274
| ~ spl0_273
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f3730,f3734]) ).
fof(f3736,plain,
( h2(op1(e11,e12)) != op2(e21,e21)
| ~ spl0_273
| ~ spl0_274
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f3730,f3258]) ).
fof(f3737,plain,
( h2(op1(e11,e10)) != op2(h2(e10),e21)
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f3730,f3259]) ).
fof(f3738,plain,
( h2(op1(e11,e10)) != op2(e21,e21)
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f3730,f3737]) ).
fof(f3741,plain,
( e21 = h2(e11)
| ~ spl0_273
| ~ spl0_274 ),
inference(backward_demodulation,[status(thm)],[f3730,f3711]) ).
fof(f3742,plain,
( h2(op1(e10,e12)) != op2(e21,e21)
| ~ spl0_273
| ~ spl0_274
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f3730,f3579]) ).
fof(f3744,plain,
( h3(op1(e11,e12)) != op2(e21,h3(e12))
| ~ spl0_285
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f1671,f1410]) ).
fof(f3745,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| ~ spl0_285
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f1671,f1419]) ).
fof(f3747,plain,
( h3(op1(e11,e10)) != op2(e21,h3(e10))
| ~ spl0_285
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f1671,f1404]) ).
fof(f3748,plain,
( h3(e10) != op2(h3(e10),e21)
| ~ spl0_285
| ~ spl0_4
| spl0_209 ),
inference(backward_demodulation,[status(thm)],[f1671,f2057]) ).
fof(f3750,plain,
( h3(e12) = op2(e22,e21)
| ~ spl0_285 ),
inference(backward_demodulation,[status(thm)],[f1671,f2178]) ).
fof(f3755,plain,
( h3(op1(e11,e11)) != op2(e21,h3(e11))
| ~ spl0_285
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1671,f1407]) ).
fof(f3756,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| ~ spl0_285
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1671,f3755]) ).
fof(f3759,plain,
( h3(e10) = e21
| ~ spl0_285
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f1671,f3460]) ).
fof(f3760,plain,
( e22 = op2(e22,e21)
| ~ spl0_285
| ~ spl0_290 ),
inference(backward_demodulation,[status(thm)],[f3759,f3257]) ).
fof(f3761,plain,
( spl0_102
| ~ spl0_285
| ~ spl0_290 ),
inference(split_clause,[status(thm)],[f3760,f1005,f1670,f1690]) ).
fof(f3770,plain,
( e20 = op2(e20,h1(e10))
| ~ spl0_258 ),
inference(forward_demodulation,[status(thm)],[f3703,f3648]) ).
fof(f3774,plain,
( h1(op1(e13,e10)) != e20
| ~ spl0_258
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f3770,f2164]) ).
fof(f3776,plain,
( h1(op1(e12,e11)) != op2(e20,h1(e10))
| ~ spl0_258
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f3703,f3664]) ).
fof(f3777,plain,
( h1(op1(e12,e10)) != e20
| ~ spl0_258
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f3770,f3522]) ).
fof(f3779,plain,
( h1(e10) != op2(h1(e11),h1(e11))
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3703,f3423]) ).
fof(f3780,plain,
( h1(e10) != op2(h1(e10),h1(e11))
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3703,f3779]) ).
fof(f3781,plain,
( h1(e10) != op2(h1(e10),h1(e10))
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3703,f3780]) ).
fof(f3785,plain,
( h1(op1(e11,e10)) != op2(h1(e10),h1(e10))
| ~ spl0_258
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f3703,f1258]) ).
fof(f3795,plain,
( h1(e10) = e21
| ~ spl0_258
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f3703,f2382]) ).
fof(f3805,plain,
( h1(e10) != op2(h1(e10),e21)
| ~ spl0_65
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f3795,f3781]) ).
fof(f3806,plain,
( e21 != op2(h1(e10),e21)
| ~ spl0_65
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3795,f3805]) ).
fof(f3807,plain,
( e21 != op2(e21,e21)
| ~ spl0_65
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f3795,f3806]) ).
fof(f3816,plain,
( h2(e11) != op2(h2(e11),h2(e11))
| ~ spl0_21
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f711,f1334]) ).
fof(f3817,plain,
( h3(e11) != op2(e21,e21)
| ~ spl0_21
| ~ spl0_285
| spl0_213 ),
inference(backward_demodulation,[status(thm)],[f711,f3756]) ).
fof(f3818,plain,
( e21 != op2(e21,e21)
| ~ spl0_21
| ~ spl0_285
| spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1671,f3817]) ).
fof(f3841,plain,
( h3(e11) != op2(h3(e12),h3(e12))
| ~ spl0_41
| spl0_218 ),
inference(backward_demodulation,[status(thm)],[f776,f1422]) ).
fof(f3842,plain,
( e21 != op2(h3(e12),h3(e12))
| ~ spl0_285
| ~ spl0_41
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f1671,f3841]) ).
fof(f3867,plain,
( e11 = e12
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f646,f649]) ).
fof(f3868,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3867,f215]) ).
fof(f3869,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3868]) ).
fof(f3877,plain,
( h1(e10) != op2(h1(e10),h1(e10))
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f3703,f3673]) ).
fof(f3887,plain,
( h1(op1(e12,e11)) != e20
| ~ spl0_258
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f3770,f3776]) ).
fof(f3889,plain,
( h1(e11) != op2(h1(e10),h1(e10))
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f646,f1246]) ).
fof(f3890,plain,
( spl0_98
| ~ spl0_159 ),
inference(split_clause,[status(thm)],[f3043,f992,f1228]) ).
fof(f3906,plain,
( h3(e12) = e23
| ~ spl0_103
| ~ spl0_285 ),
inference(forward_demodulation,[status(thm)],[f1009,f3750]) ).
fof(f3909,plain,
( ~ spl0_85
| ~ spl0_21
| ~ spl0_285
| spl0_213 ),
inference(split_clause,[status(thm)],[f3818,f950,f710,f1670,f1405]) ).
fof(f3915,plain,
( h4(e11) != e21
| ~ spl0_1
| ~ spl0_261
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f646,f3480]) ).
fof(f3916,plain,
( e21 != e21
| ~ spl0_1
| ~ spl0_261
| spl0_231 ),
inference(forward_demodulation,[status(thm)],[f2341,f3915]) ).
fof(f3917,plain,
( $false
| ~ spl0_1
| ~ spl0_261
| spl0_231 ),
inference(trivial_equality_resolution,[status(esa)],[f3916]) ).
fof(f3918,plain,
( ~ spl0_1
| ~ spl0_261
| spl0_231 ),
inference(contradiction_clause,[status(thm)],[f3917]) ).
fof(f3920,plain,
( ~ spl0_85
| ~ spl0_65
| ~ spl0_258
| ~ spl0_21
| spl0_167 ),
inference(split_clause,[status(thm)],[f3807,f950,f885,f1562,f710,f1259]) ).
fof(f3942,plain,
( e21 = op2(e21,e21)
| ~ spl0_273
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f3730,f3718]) ).
fof(f3946,plain,
( h2(e11) != op2(e21,e21)
| ~ spl0_1
| ~ spl0_274
| ~ spl0_273
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f646,f3735]) ).
fof(f3947,plain,
( h2(e11) != e21
| ~ spl0_1
| ~ spl0_274
| ~ spl0_273
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f3942,f3946]) ).
fof(f3948,plain,
( h2(op1(e11,e12)) != e21
| ~ spl0_273
| ~ spl0_274
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f3942,f3736]) ).
fof(f3953,plain,
( h2(e13) != e21
| ~ spl0_39
| ~ spl0_274
| spl0_194 ),
inference(backward_demodulation,[status(thm)],[f769,f3724]) ).
fof(f3954,plain,
( ~ spl0_275
| ~ spl0_39
| ~ spl0_274
| spl0_194 ),
inference(split_clause,[status(thm)],[f3953,f1630,f768,f1626,f1344]) ).
fof(f3965,plain,
( h2(op1(e11,e10)) != e21
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f3942,f3738]) ).
fof(f3966,plain,
( $false
| ~ spl0_1
| spl0_185
| ~ spl0_273
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[status(thm)],[f3741,f3947]) ).
fof(f3967,plain,
( ~ spl0_1
| spl0_185
| ~ spl0_273
| ~ spl0_274 ),
inference(contradiction_clause,[status(thm)],[f3966]) ).
fof(f3972,plain,
( h2(op1(e10,e12)) != e21
| ~ spl0_273
| ~ spl0_274
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f3942,f3742]) ).
fof(f3973,plain,
( h3(e11) != op2(h3(e10),h3(e10))
| ~ spl0_1
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f646,f1392]) ).
fof(f3983,plain,
( h1(e13) != e20
| ~ spl0_51
| ~ spl0_258
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f808,f3774]) ).
fof(f3984,plain,
( ~ spl0_259
| ~ spl0_51
| ~ spl0_258
| spl0_174 ),
inference(split_clause,[status(thm)],[f3983,f1566,f807,f1562,f1280]) ).
fof(f3985,plain,
( h2(e13) != e21
| ~ spl0_51
| ~ spl0_274
| spl0_197 ),
inference(backward_demodulation,[status(thm)],[f808,f3721]) ).
fof(f3986,plain,
( ~ spl0_275
| ~ spl0_51
| ~ spl0_274
| spl0_197 ),
inference(split_clause,[status(thm)],[f3985,f1630,f807,f1626,f1353]) ).
fof(f3998,plain,
( h2(e10) != op2(e21,e21)
| ~ spl0_56
| ~ spl0_274
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f825,f3578]) ).
fof(f3999,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_56
| ~ spl0_274
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f3730,f3998]) ).
fof(f4000,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_56
| ~ spl0_274
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f3942,f3999]) ).
fof(f4001,plain,
( $false
| ~ spl0_273
| ~ spl0_56
| ~ spl0_274
| spl0_199 ),
inference(trivial_equality_resolution,[status(esa)],[f4000]) ).
fof(f4002,plain,
( ~ spl0_273
| ~ spl0_56
| ~ spl0_274
| spl0_199 ),
inference(contradiction_clause,[status(thm)],[f4001]) ).
fof(f4006,plain,
( h2(e10) != e21
| ~ spl0_16
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f695,f3965]) ).
fof(f4007,plain,
( e21 != e21
| ~ spl0_16
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f3730,f4006]) ).
fof(f4008,plain,
( $false
| ~ spl0_16
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f4007]) ).
fof(f4009,plain,
( ~ spl0_16
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f4008]) ).
fof(f4011,plain,
( op1(e11,e10) = e11
| ~ spl0_16
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f695,f1126]) ).
fof(f4012,plain,
( spl0_17
| ~ spl0_16
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f4011,f697,f694,f1125]) ).
fof(f4030,plain,
( h1(e10) != op2(h1(e10),e21)
| ~ spl0_260
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f1571,f3877]) ).
fof(f4031,plain,
( e21 != op2(h1(e10),e21)
| ~ spl0_260
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f1571,f4030]) ).
fof(f4032,plain,
( e21 != op2(e21,e21)
| ~ spl0_260
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f1571,f4031]) ).
fof(f4033,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f3942,f4032]) ).
fof(f4034,plain,
( $false
| ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(trivial_equality_resolution,[status(esa)],[f4033]) ).
fof(f4035,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_258
| ~ spl0_4
| spl0_163 ),
inference(contradiction_clause,[status(thm)],[f4034]) ).
fof(f4041,plain,
( h1(e11) != op2(e21,h1(e10))
| ~ spl0_260
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1571,f3889]) ).
fof(f4042,plain,
( h1(e11) != op2(e21,e21)
| ~ spl0_260
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1571,f4041]) ).
fof(f4043,plain,
( h1(e11) != e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_1
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f3942,f4042]) ).
fof(f4046,plain,
( h1(e10) != op2(h1(e10),h1(e10))
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f695,f3785]) ).
fof(f4047,plain,
( e21 != op2(h1(e10),h1(e10))
| ~ spl0_260
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f1571,f4046]) ).
fof(f4048,plain,
( e21 != op2(e21,h1(e10))
| ~ spl0_260
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f1571,f4047]) ).
fof(f4049,plain,
( e21 != op2(e21,e21)
| ~ spl0_260
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f1571,f4048]) ).
fof(f4050,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f3942,f4049]) ).
fof(f4051,plain,
( $false
| ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(trivial_equality_resolution,[status(esa)],[f4050]) ).
fof(f4052,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_260
| ~ spl0_16
| ~ spl0_258
| spl0_166 ),
inference(contradiction_clause,[status(thm)],[f4051]) ).
fof(f4059,plain,
( e21 = h1(e11)
| ~ spl0_260
| ~ spl0_258 ),
inference(forward_demodulation,[status(thm)],[f1571,f3703]) ).
fof(f4060,plain,
( $false
| ~ spl0_273
| ~ spl0_274
| ~ spl0_1
| spl0_162
| ~ spl0_260
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[status(thm)],[f4059,f4043]) ).
fof(f4061,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_1
| spl0_162
| ~ spl0_260
| ~ spl0_258 ),
inference(contradiction_clause,[status(thm)],[f4060]) ).
fof(f4067,plain,
( e21 != op2(e21,e21)
| ~ spl0_274
| ~ spl0_273
| ~ spl0_15
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f3730,f2926]) ).
fof(f4068,plain,
( e21 != e21
| ~ spl0_274
| ~ spl0_273
| ~ spl0_15
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f3942,f4067]) ).
fof(f4069,plain,
( $false
| ~ spl0_274
| ~ spl0_273
| ~ spl0_15
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f4068]) ).
fof(f4070,plain,
( ~ spl0_274
| ~ spl0_273
| ~ spl0_15
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f4069]) ).
fof(f4081,plain,
( e21 != op2(h3(e10),h3(e10))
| ~ spl0_285
| ~ spl0_1
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f1671,f3973]) ).
fof(f4085,plain,
( h3(e12) = op2(e22,e21)
| ~ spl0_285 ),
inference(backward_demodulation,[status(thm)],[f1671,f2178]) ).
fof(f4086,plain,
( h3(e12) = e23
| ~ spl0_103
| ~ spl0_285 ),
inference(forward_demodulation,[status(thm)],[f1009,f4085]) ).
fof(f4087,plain,
( $false
| spl0_229
| ~ spl0_103
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[status(thm)],[f4086,f1457]) ).
fof(f4088,plain,
( spl0_229
| ~ spl0_103
| ~ spl0_285 ),
inference(contradiction_clause,[status(thm)],[f4087]) ).
fof(f4090,plain,
( h3(e13) != op2(h3(e12),e21)
| ~ spl0_39
| ~ spl0_285
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f769,f3745]) ).
fof(f4091,plain,
( e22 != op2(h3(e12),e21)
| ~ spl0_39
| ~ spl0_285
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f278,f4090]) ).
fof(f4092,plain,
( h3(e10) != op2(e21,h3(e10))
| ~ spl0_16
| ~ spl0_285
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f695,f3747]) ).
fof(f4093,plain,
( e22 != op2(e23,e21)
| ~ spl0_103
| ~ spl0_39
| ~ spl0_285
| spl0_217 ),
inference(backward_demodulation,[status(thm)],[f3906,f4091]) ).
fof(f4094,plain,
( e22 != e22
| ~ spl0_103
| ~ spl0_39
| ~ spl0_285
| spl0_217 ),
inference(forward_demodulation,[status(thm)],[f2159,f4093]) ).
fof(f4095,plain,
( $false
| ~ spl0_103
| ~ spl0_39
| ~ spl0_285
| spl0_217 ),
inference(trivial_equality_resolution,[status(esa)],[f4094]) ).
fof(f4096,plain,
( ~ spl0_103
| ~ spl0_39
| ~ spl0_285
| spl0_217 ),
inference(contradiction_clause,[status(thm)],[f4095]) ).
fof(f4097,plain,
( h3(op1(e11,e12)) != op2(e21,e23)
| ~ spl0_103
| ~ spl0_285
| spl0_214 ),
inference(backward_demodulation,[status(thm)],[f3906,f3744]) ).
fof(f4098,plain,
( h3(op1(e11,e12)) != e22
| ~ spl0_94
| ~ spl0_103
| ~ spl0_285
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f980,f4097]) ).
fof(f4106,plain,
( h3(op1(e12,e10)) != op2(e23,h3(e10))
| ~ spl0_103
| ~ spl0_285
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f3906,f1416]) ).
fof(f4107,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| ~ spl0_103
| ~ spl0_285
| spl0_210 ),
inference(backward_demodulation,[status(thm)],[f3906,f1398]) ).
fof(f4108,plain,
( h3(e10) = op2(e23,e22)
| ~ spl0_103
| ~ spl0_285 ),
inference(backward_demodulation,[status(thm)],[f3906,f2482]) ).
fof(f4109,plain,
( h3(e10) = e20
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285 ),
inference(forward_demodulation,[status(thm)],[f1065,f4108]) ).
fof(f4110,plain,
( e11 = e10
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f646,f643]) ).
fof(f4111,plain,
( $false
| ~ spl0_1
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f4110,f212]) ).
fof(f4112,plain,
( ~ spl0_1
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f4111]) ).
fof(f4127,plain,
( h1(e11) != e22
| ~ spl0_34
| ~ spl0_239 ),
inference(backward_demodulation,[status(thm)],[f3058,f2349]) ).
fof(f4137,plain,
( e23 != op2(h3(e11),e22)
| ~ spl0_103
| ~ spl0_285
| ~ spl0_30
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f3906,f3424]) ).
fof(f4138,plain,
( e23 != op2(e21,e22)
| ~ spl0_103
| ~ spl0_285
| ~ spl0_30
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1671,f4137]) ).
fof(f4139,plain,
( e23 != e23
| ~ spl0_91
| ~ spl0_103
| ~ spl0_285
| ~ spl0_30
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f970,f4138]) ).
fof(f4140,plain,
( $false
| ~ spl0_91
| ~ spl0_103
| ~ spl0_285
| ~ spl0_30
| spl0_215 ),
inference(trivial_equality_resolution,[status(esa)],[f4139]) ).
fof(f4141,plain,
( ~ spl0_91
| ~ spl0_103
| ~ spl0_285
| ~ spl0_30
| spl0_215 ),
inference(contradiction_clause,[status(thm)],[f4140]) ).
fof(f4146,plain,
( h2(e12) != e21
| ~ spl0_10
| ~ spl0_273
| ~ spl0_274
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f675,f3972]) ).
fof(f4147,plain,
( ~ spl0_274
| ~ spl0_10
| ~ spl0_273
| spl0_187 ),
inference(split_clause,[status(thm)],[f4146,f1626,f674,f1622,f1323]) ).
fof(f4172,plain,
( h3(e12) != op2(e23,h3(e10))
| ~ spl0_34
| ~ spl0_103
| ~ spl0_285
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f753,f4106]) ).
fof(f4173,plain,
( e23 != op2(e23,h3(e10))
| ~ spl0_34
| ~ spl0_103
| ~ spl0_285
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f3906,f4172]) ).
fof(f4174,plain,
( h3(e12) != op2(h3(e10),e23)
| ~ spl0_10
| ~ spl0_103
| ~ spl0_285
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f675,f4107]) ).
fof(f4175,plain,
( e23 != op2(h3(e10),e23)
| ~ spl0_10
| ~ spl0_103
| ~ spl0_285
| spl0_210 ),
inference(forward_demodulation,[status(thm)],[f3906,f4174]) ).
fof(f4176,plain,
( e23 != op2(e20,e23)
| ~ spl0_120
| ~ spl0_10
| ~ spl0_103
| ~ spl0_285
| spl0_210 ),
inference(backward_demodulation,[status(thm)],[f4109,f4175]) ).
fof(f4177,plain,
( ~ spl0_79
| ~ spl0_120
| ~ spl0_10
| ~ spl0_103
| ~ spl0_285
| spl0_210 ),
inference(split_clause,[status(thm)],[f4176,f930,f1064,f674,f1008,f1670,f1396]) ).
fof(f4178,plain,
( e23 != op2(e23,e20)
| ~ spl0_120
| ~ spl0_34
| ~ spl0_103
| ~ spl0_285
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f4109,f4173]) ).
fof(f4179,plain,
( ~ spl0_115
| ~ spl0_120
| ~ spl0_34
| ~ spl0_103
| ~ spl0_285
| spl0_216 ),
inference(split_clause,[status(thm)],[f4178,f1047,f1064,f752,f1008,f1670,f1414]) ).
fof(f4180,plain,
( e22 != op2(e20,e22)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_15
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f4109,f2939]) ).
fof(f4181,plain,
( ~ spl0_74
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_15
| spl0_211 ),
inference(split_clause,[status(thm)],[f4180,f914,f1064,f1008,f1670,f690,f1399]) ).
fof(f4182,plain,
( h3(e10) != op2(e21,e20)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_16
| ~ spl0_285
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f4109,f4092]) ).
fof(f4183,plain,
( e20 != op2(e21,e20)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_16
| ~ spl0_285
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f4109,f4182]) ).
fof(f4184,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_120
| ~ spl0_103
| ~ spl0_16
| ~ spl0_285
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f935,f4183]) ).
fof(f4185,plain,
( $false
| ~ spl0_80
| ~ spl0_120
| ~ spl0_103
| ~ spl0_16
| ~ spl0_285
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f4184]) ).
fof(f4186,plain,
( ~ spl0_80
| ~ spl0_120
| ~ spl0_103
| ~ spl0_16
| ~ spl0_285
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f4185]) ).
fof(f4206,plain,
( e21 != op2(h2(e11),e21)
| ~ spl0_274
| ~ spl0_30
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1627,f3425]) ).
fof(f4207,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_274
| ~ spl0_30
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f3741,f4206]) ).
fof(f4208,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_30
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f3942,f4207]) ).
fof(f4209,plain,
( $false
| ~ spl0_273
| ~ spl0_274
| ~ spl0_30
| spl0_192 ),
inference(trivial_equality_resolution,[status(esa)],[f4208]) ).
fof(f4210,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_30
| spl0_192 ),
inference(contradiction_clause,[status(thm)],[f4209]) ).
fof(f4215,plain,
( e20 != e20
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| spl0_280 ),
inference(forward_demodulation,[status(thm)],[f4109,f1652]) ).
fof(f4216,plain,
( $false
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| spl0_280 ),
inference(trivial_equality_resolution,[status(esa)],[f4215]) ).
fof(f4217,plain,
( ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| spl0_280 ),
inference(contradiction_clause,[status(thm)],[f4216]) ).
fof(f4221,plain,
( e21 != e21
| ~ spl0_274
| ~ spl0_273
| spl0_272 ),
inference(forward_demodulation,[status(thm)],[f3730,f1620]) ).
fof(f4222,plain,
( $false
| ~ spl0_274
| ~ spl0_273
| spl0_272 ),
inference(trivial_equality_resolution,[status(esa)],[f4221]) ).
fof(f4223,plain,
( ~ spl0_274
| ~ spl0_273
| spl0_272 ),
inference(contradiction_clause,[status(thm)],[f4222]) ).
fof(f4228,plain,
( h1(op1(e12,e12)) != e21
| ~ spl0_261
| ~ spl0_145
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1575,f2638]) ).
fof(f4231,plain,
( h2(e12) != e21
| ~ spl0_34
| ~ spl0_274
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f753,f3720]) ).
fof(f4232,plain,
( e21 != e21
| ~ spl0_34
| ~ spl0_274
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1627,f4231]) ).
fof(f4233,plain,
( $false
| ~ spl0_34
| ~ spl0_274
| spl0_193 ),
inference(trivial_equality_resolution,[status(esa)],[f4232]) ).
fof(f4234,plain,
( ~ spl0_34
| ~ spl0_274
| spl0_193 ),
inference(contradiction_clause,[status(thm)],[f4233]) ).
fof(f4239,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3942,f3733]) ).
fof(f4240,plain,
( $false
| ~ spl0_273
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(trivial_equality_resolution,[status(esa)],[f4239]) ).
fof(f4241,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_4
| spl0_186 ),
inference(contradiction_clause,[status(thm)],[f4240]) ).
fof(f4247,plain,
( e22 != op2(e22,e20)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f4109,f2868]) ).
fof(f4248,plain,
( e22 != e22
| ~ spl0_34
| ~ spl0_239
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_51
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f3058,f4247]) ).
fof(f4249,plain,
( $false
| ~ spl0_34
| ~ spl0_239
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_51
| spl0_220 ),
inference(trivial_equality_resolution,[status(esa)],[f4248]) ).
fof(f4250,plain,
( ~ spl0_34
| ~ spl0_239
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_51
| spl0_220 ),
inference(contradiction_clause,[status(thm)],[f4249]) ).
fof(f4261,plain,
( h4(op1(e12,e12)) != e21
| ~ spl0_285
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f1671,f2596]) ).
fof(f4268,plain,
( e20 != op2(h3(e10),e21)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_4
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f4109,f3748]) ).
fof(f4269,plain,
( e20 != op2(e20,e21)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_4
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f4109,f4268]) ).
fof(f4270,plain,
( e20 != e20
| ~ spl0_232
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_4
| spl0_209 ),
inference(forward_demodulation,[status(thm)],[f3651,f4269]) ).
fof(f4271,plain,
( $false
| ~ spl0_232
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_4
| spl0_209 ),
inference(trivial_equality_resolution,[status(esa)],[f4270]) ).
fof(f4272,plain,
( ~ spl0_232
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_4
| spl0_209 ),
inference(contradiction_clause,[status(thm)],[f4271]) ).
fof(f4283,plain,
( h3(op1(e11,e11)) = op2(e21,h3(e11))
| ~ spl0_285
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1671,f1406]) ).
fof(f4284,plain,
( h3(op1(e11,e11)) = op2(e21,e21)
| ~ spl0_285
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f1671,f4283]) ).
fof(f4285,plain,
( h3(op1(e11,e11)) = e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_285
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f3942,f4284]) ).
fof(f4289,plain,
( h3(e10) = e21
| ~ spl0_20
| ~ spl0_273
| ~ spl0_274
| ~ spl0_285
| ~ spl0_213 ),
inference(backward_demodulation,[status(thm)],[f708,f4285]) ).
fof(f4290,plain,
( e20 = e21
| ~ spl0_120
| ~ spl0_103
| ~ spl0_20
| ~ spl0_273
| ~ spl0_274
| ~ spl0_285
| ~ spl0_213 ),
inference(forward_demodulation,[status(thm)],[f4109,f4289]) ).
fof(f4291,plain,
( $false
| ~ spl0_120
| ~ spl0_103
| ~ spl0_20
| ~ spl0_273
| ~ spl0_274
| ~ spl0_285
| ~ spl0_213 ),
inference(forward_subsumption_resolution,[status(thm)],[f4290,f218]) ).
fof(f4292,plain,
( ~ spl0_120
| ~ spl0_103
| ~ spl0_20
| ~ spl0_273
| ~ spl0_274
| ~ spl0_285
| ~ spl0_213 ),
inference(contradiction_clause,[status(thm)],[f4291]) ).
fof(f4295,plain,
( h2(e11) != e21
| ~ spl0_25
| ~ spl0_273
| ~ spl0_274
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f724,f3948]) ).
fof(f4296,plain,
( ~ spl0_273
| ~ spl0_25
| ~ spl0_274
| spl0_191 ),
inference(split_clause,[status(thm)],[f4295,f1622,f723,f1626,f1335]) ).
fof(f4317,plain,
( op1(e10,e12) = e10
| ~ spl0_10
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f675,f1149]) ).
fof(f4318,plain,
( e12 = e10
| ~ spl0_10
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f675,f4317]) ).
fof(f4319,plain,
( $false
| ~ spl0_10
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f4318,f213]) ).
fof(f4320,plain,
( ~ spl0_10
| ~ spl0_136 ),
inference(contradiction_clause,[status(thm)],[f4319]) ).
fof(f4324,plain,
( op1(e11,e13) = e11
| ~ spl0_23
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f717,f1139]) ).
fof(f4325,plain,
( e12 = e11
| ~ spl0_30
| ~ spl0_23
| ~ spl0_133 ),
inference(forward_demodulation,[status(thm)],[f740,f4324]) ).
fof(f4326,plain,
( $false
| ~ spl0_30
| ~ spl0_23
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[status(thm)],[f4325,f215]) ).
fof(f4327,plain,
( ~ spl0_30
| ~ spl0_23
| ~ spl0_133 ),
inference(contradiction_clause,[status(thm)],[f4326]) ).
fof(f4328,plain,
( h1(e12) != e20
| ~ spl0_34
| ~ spl0_258
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f753,f3777]) ).
fof(f4329,plain,
( e20 != e20
| ~ spl0_34
| ~ spl0_258
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f1563,f4328]) ).
fof(f4330,plain,
( $false
| ~ spl0_34
| ~ spl0_258
| spl0_170 ),
inference(trivial_equality_resolution,[status(esa)],[f4329]) ).
fof(f4331,plain,
( ~ spl0_34
| ~ spl0_258
| spl0_170 ),
inference(contradiction_clause,[status(thm)],[f4330]) ).
fof(f4332,plain,
( e20 != op2(e21,e20)
| ~ spl0_261
| ~ spl0_258
| ~ spl0_30
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f1575,f3667]) ).
fof(f4333,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_261
| ~ spl0_258
| ~ spl0_30
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f935,f4332]) ).
fof(f4334,plain,
( $false
| ~ spl0_80
| ~ spl0_261
| ~ spl0_258
| ~ spl0_30
| spl0_169 ),
inference(trivial_equality_resolution,[status(esa)],[f4333]) ).
fof(f4335,plain,
( ~ spl0_80
| ~ spl0_261
| ~ spl0_258
| ~ spl0_30
| spl0_169 ),
inference(contradiction_clause,[status(thm)],[f4334]) ).
fof(f4336,plain,
( e20 != op2(e21,e20)
| ~ spl0_260
| ~ spl0_15
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f1571,f2928]) ).
fof(f4337,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_260
| ~ spl0_15
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f935,f4336]) ).
fof(f4338,plain,
( $false
| ~ spl0_80
| ~ spl0_260
| ~ spl0_15
| spl0_165 ),
inference(trivial_equality_resolution,[status(esa)],[f4337]) ).
fof(f4339,plain,
( ~ spl0_80
| ~ spl0_260
| ~ spl0_15
| spl0_165 ),
inference(contradiction_clause,[status(thm)],[f4338]) ).
fof(f4347,plain,
( e21 != op2(e23,h3(e12))
| ~ spl0_103
| ~ spl0_285
| ~ spl0_41
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f3906,f3842]) ).
fof(f4348,plain,
( e21 != op2(e23,e23)
| ~ spl0_103
| ~ spl0_285
| ~ spl0_41
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f3906,f4347]) ).
fof(f4349,plain,
( e21 != e21
| ~ spl0_103
| ~ spl0_285
| ~ spl0_41
| spl0_218 ),
inference(forward_demodulation,[status(thm)],[f268,f4348]) ).
fof(f4350,plain,
( $false
| ~ spl0_103
| ~ spl0_285
| ~ spl0_41
| spl0_218 ),
inference(trivial_equality_resolution,[status(esa)],[f4349]) ).
fof(f4351,plain,
( ~ spl0_103
| ~ spl0_285
| ~ spl0_41
| spl0_218 ),
inference(contradiction_clause,[status(thm)],[f4350]) ).
fof(f4357,plain,
( h1(op1(e11,e11)) = op2(e21,h1(e11))
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f1575,f1260]) ).
fof(f4358,plain,
( h1(op1(e11,e11)) = op2(e21,e21)
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f1575,f4357]) ).
fof(f4363,plain,
( h2(op1(e12,e12)) != e21
| ~ spl0_273
| ~ spl0_274
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f3741,f3128]) ).
fof(f4365,plain,
( e20 != op2(e21,e20)
| ~ spl0_260
| ~ spl0_258
| ~ spl0_10
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1571,f3671]) ).
fof(f4366,plain,
( e20 != e20
| ~ spl0_80
| ~ spl0_260
| ~ spl0_258
| ~ spl0_10
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f935,f4365]) ).
fof(f4367,plain,
( $false
| ~ spl0_80
| ~ spl0_260
| ~ spl0_258
| ~ spl0_10
| spl0_164 ),
inference(trivial_equality_resolution,[status(esa)],[f4366]) ).
fof(f4368,plain,
( ~ spl0_80
| ~ spl0_260
| ~ spl0_258
| ~ spl0_10
| spl0_164 ),
inference(contradiction_clause,[status(thm)],[f4367]) ).
fof(f4369,plain,
( h3(e10) != op2(e22,h3(e12))
| ~ spl0_56
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f825,f2883]) ).
fof(f4370,plain,
( e20 != op2(e22,h3(e12))
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_56
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f4109,f4369]) ).
fof(f4371,plain,
( e20 != op2(e22,e23)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_56
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f3906,f4370]) ).
fof(f4372,plain,
( e20 != e20
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_56
| spl0_222 ),
inference(forward_demodulation,[status(thm)],[f2758,f4371]) ).
fof(f4373,plain,
( $false
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_56
| spl0_222 ),
inference(trivial_equality_resolution,[status(esa)],[f4372]) ).
fof(f4374,plain,
( ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_56
| spl0_222 ),
inference(contradiction_clause,[status(thm)],[f4373]) ).
fof(f4380,plain,
( e21 != op2(h2(e11),h2(e11))
| ~ spl0_273
| ~ spl0_274
| ~ spl0_21
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f3741,f3816]) ).
fof(f4381,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_273
| ~ spl0_274
| ~ spl0_21
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f3741,f4380]) ).
fof(f4382,plain,
( e21 != op2(e21,e21)
| ~ spl0_273
| ~ spl0_274
| ~ spl0_21
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f3741,f4381]) ).
fof(f4383,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_274
| ~ spl0_21
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f3942,f4382]) ).
fof(f4384,plain,
( $false
| ~ spl0_273
| ~ spl0_274
| ~ spl0_21
| spl0_190 ),
inference(trivial_equality_resolution,[status(esa)],[f4383]) ).
fof(f4385,plain,
( ~ spl0_273
| ~ spl0_274
| ~ spl0_21
| spl0_190 ),
inference(contradiction_clause,[status(thm)],[f4384]) ).
fof(f4417,plain,
( op1(e12,e13) = e12
| ~ spl0_39
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f769,f1142]) ).
fof(f4418,plain,
( e10 = e12
| ~ spl0_39
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f2459,f4417]) ).
fof(f4419,plain,
( $false
| ~ spl0_39
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[status(thm)],[f4418,f213]) ).
fof(f4420,plain,
( ~ spl0_39
| ~ spl0_134 ),
inference(contradiction_clause,[status(thm)],[f4419]) ).
fof(f4423,plain,
( op1(e11,e13) = e11
| ~ spl0_27
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f730,f1152]) ).
fof(f4424,plain,
( e12 = e11
| ~ spl0_30
| ~ spl0_27
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f740,f4423]) ).
fof(f4425,plain,
( $false
| ~ spl0_30
| ~ spl0_27
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f4424,f215]) ).
fof(f4426,plain,
( ~ spl0_30
| ~ spl0_27
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f4425]) ).
fof(f4429,plain,
( op1(e12,e11) = e12
| ~ spl0_41
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f776,f1155]) ).
fof(f4430,plain,
( e13 = e12
| ~ spl0_39
| ~ spl0_41
| ~ spl0_138 ),
inference(forward_demodulation,[status(thm)],[f769,f4429]) ).
fof(f4431,plain,
( $false
| ~ spl0_39
| ~ spl0_41
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[status(thm)],[f4430,f217]) ).
fof(f4432,plain,
( ~ spl0_39
| ~ spl0_41
| ~ spl0_138 ),
inference(contradiction_clause,[status(thm)],[f4431]) ).
fof(f4456,plain,
( e21 != op2(e20,h3(e10))
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_1
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f4109,f4081]) ).
fof(f4457,plain,
( e21 != op2(e20,e20)
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_1
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f4109,f4456]) ).
fof(f4458,plain,
( e21 != e21
| ~ spl0_261
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_1
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f3482,f4457]) ).
fof(f4459,plain,
( $false
| ~ spl0_261
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_1
| spl0_208 ),
inference(trivial_equality_resolution,[status(esa)],[f4458]) ).
fof(f4460,plain,
( ~ spl0_261
| ~ spl0_120
| ~ spl0_103
| ~ spl0_285
| ~ spl0_1
| spl0_208 ),
inference(contradiction_clause,[status(thm)],[f4459]) ).
fof(f4467,plain,
( h3(e13) != e22
| ~ spl0_27
| ~ spl0_94
| ~ spl0_103
| ~ spl0_285
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f730,f4098]) ).
fof(f4468,plain,
( e22 != e22
| ~ spl0_27
| ~ spl0_94
| ~ spl0_103
| ~ spl0_285
| spl0_214 ),
inference(forward_demodulation,[status(thm)],[f278,f4467]) ).
fof(f4469,plain,
( $false
| ~ spl0_27
| ~ spl0_94
| ~ spl0_103
| ~ spl0_285
| spl0_214 ),
inference(trivial_equality_resolution,[status(esa)],[f4468]) ).
fof(f4470,plain,
( ~ spl0_27
| ~ spl0_94
| ~ spl0_103
| ~ spl0_285
| spl0_214 ),
inference(contradiction_clause,[status(thm)],[f4469]) ).
fof(f4493,plain,
( ~ spl0_59
| spl0_135 ),
inference(split_clause,[status(thm)],[f2655,f833,f1144]) ).
fof(f4498,plain,
( h1(e13) != e20
| ~ spl0_39
| ~ spl0_258
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f769,f3887]) ).
fof(f4499,plain,
( e20 != e20
| ~ spl0_39
| ~ spl0_258
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f270,f4498]) ).
fof(f4500,plain,
( $false
| ~ spl0_39
| ~ spl0_258
| spl0_171 ),
inference(trivial_equality_resolution,[status(esa)],[f4499]) ).
fof(f4501,plain,
( ~ spl0_39
| ~ spl0_258
| spl0_171 ),
inference(contradiction_clause,[status(thm)],[f4500]) ).
fof(f4511,plain,
( h4(e11) != e21
| ~ spl0_41
| ~ spl0_285
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f776,f4261]) ).
fof(f4512,plain,
( e21 != e21
| ~ spl0_41
| ~ spl0_285
| spl0_241 ),
inference(forward_demodulation,[status(thm)],[f2341,f4511]) ).
fof(f4513,plain,
( $false
| ~ spl0_41
| ~ spl0_285
| spl0_241 ),
inference(trivial_equality_resolution,[status(esa)],[f4512]) ).
fof(f4514,plain,
( ~ spl0_41
| ~ spl0_285
| spl0_241 ),
inference(contradiction_clause,[status(thm)],[f4513]) ).
fof(f4520,plain,
( h1(e11) != e21
| ~ spl0_41
| ~ spl0_261
| ~ spl0_145
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f776,f4228]) ).
fof(f4521,plain,
( e21 != e21
| ~ spl0_41
| ~ spl0_261
| ~ spl0_145
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1575,f4520]) ).
fof(f4522,plain,
( $false
| ~ spl0_41
| ~ spl0_261
| ~ spl0_145
| spl0_172 ),
inference(trivial_equality_resolution,[status(esa)],[f4521]) ).
fof(f4523,plain,
( ~ spl0_41
| ~ spl0_261
| ~ spl0_145
| spl0_172 ),
inference(contradiction_clause,[status(thm)],[f4522]) ).
fof(f4537,plain,
( h2(e13) != e21
| ~ spl0_19
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f704,f3965]) ).
fof(f4538,plain,
( ~ spl0_275
| ~ spl0_19
| ~ spl0_273
| ~ spl0_274
| spl0_189 ),
inference(split_clause,[status(thm)],[f4537,f1630,f703,f1622,f1626,f1329]) ).
fof(f4550,plain,
( h2(e10) != e21
| ~ spl0_48
| ~ spl0_274
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f799,f3721]) ).
fof(f4551,plain,
( e21 != e21
| ~ spl0_273
| ~ spl0_48
| ~ spl0_274
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f3730,f4550]) ).
fof(f4552,plain,
( $false
| ~ spl0_273
| ~ spl0_48
| ~ spl0_274
| spl0_197 ),
inference(trivial_equality_resolution,[status(esa)],[f4551]) ).
fof(f4553,plain,
( ~ spl0_273
| ~ spl0_48
| ~ spl0_274
| spl0_197 ),
inference(contradiction_clause,[status(thm)],[f4552]) ).
fof(f4565,plain,
( h2(e11) != e21
| ~ spl0_41
| ~ spl0_273
| ~ spl0_274
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f776,f4363]) ).
fof(f4566,plain,
( e21 != e21
| ~ spl0_41
| ~ spl0_273
| ~ spl0_274
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f3741,f4565]) ).
fof(f4567,plain,
( $false
| ~ spl0_41
| ~ spl0_273
| ~ spl0_274
| spl0_195 ),
inference(trivial_equality_resolution,[status(esa)],[f4566]) ).
fof(f4568,plain,
( ~ spl0_41
| ~ spl0_273
| ~ spl0_274
| spl0_195 ),
inference(contradiction_clause,[status(thm)],[f4567]) ).
fof(f4572,plain,
( op1(e11,e10) = e11
| ~ spl0_24
| ~ spl0_137 ),
inference(backward_demodulation,[status(thm)],[f721,f1152]) ).
fof(f4573,plain,
( spl0_17
| ~ spl0_24
| ~ spl0_137 ),
inference(split_clause,[status(thm)],[f4572,f697,f720,f1151]) ).
fof(f4603,plain,
( h1(e12) = e20
| ~ spl0_4
| ~ spl0_232
| ~ spl0_261 ),
inference(forward_demodulation,[status(thm)],[f3651,f3481]) ).
fof(f4612,plain,
( h1(e11) = op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f711,f4358]) ).
fof(f4613,plain,
( e21 = op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f1575,f4612]) ).
fof(f4620,plain,
( h2(e11) != op2(h2(e12),h2(e12))
| ~ spl0_41
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f776,f1349]) ).
fof(f4653,plain,
( h1(e10) = op2(e20,e20)
| ~ spl0_4
| ~ spl0_232
| ~ spl0_261 ),
inference(forward_demodulation,[status(thm)],[f4603,f2475]) ).
fof(f4654,plain,
( h1(e10) = e21
| ~ spl0_4
| ~ spl0_232
| ~ spl0_261 ),
inference(forward_demodulation,[status(thm)],[f3482,f4653]) ).
fof(f4656,plain,
( h2(e11) = e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4613,f276]) ).
fof(f4659,plain,
( h2(e12) = op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4656,f2174]) ).
fof(f4660,plain,
( h2(e12) = e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4613,f4659]) ).
fof(f4660_002,plain,
( h2(e12) = e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4613,f4659]) ).
fof(f4661,plain,
( h2(e10) = op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4660,f2478]) ).
fof(f4662,plain,
( h2(e10) = e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(forward_demodulation,[status(thm)],[f4613,f4661]) ).
fof(f4683,plain,
( e21 != op2(e21,h2(e12))
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_56
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f4662,f2950]) ).
fof(f4684,plain,
( e21 != op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_56
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f4660,f4683]) ).
fof(f4685,plain,
( e21 != e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_56
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f4613,f4684]) ).
fof(f4686,plain,
( $false
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_56
| spl0_199 ),
inference(trivial_equality_resolution,[status(esa)],[f4685]) ).
fof(f4687,plain,
( ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_56
| spl0_199 ),
inference(contradiction_clause,[status(thm)],[f4686]) ).
fof(f4702,plain,
( e21 != op2(h2(e12),h2(e12))
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_41
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f4656,f4620]) ).
fof(f4703,plain,
( e21 != op2(e21,h2(e12))
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_41
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f4660,f4702]) ).
fof(f4704,plain,
( e21 != op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_41
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f4660,f4703]) ).
fof(f4705,plain,
( e21 != e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_41
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f4613,f4704]) ).
fof(f4706,plain,
( $false
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_41
| spl0_195 ),
inference(trivial_equality_resolution,[status(esa)],[f4705]) ).
fof(f4707,plain,
( ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_41
| spl0_195 ),
inference(contradiction_clause,[status(thm)],[f4706]) ).
fof(f4754,plain,
( e21 != op2(h1(e10),e21)
| ~ spl0_232
| ~ spl0_261
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f4654,f3472]) ).
fof(f4755,plain,
( e21 != op2(e21,e21)
| ~ spl0_232
| ~ spl0_261
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f4654,f4754]) ).
fof(f4756,plain,
( e21 != e21
| ~ spl0_21
| ~ spl0_167
| ~ spl0_232
| ~ spl0_261
| ~ spl0_4
| spl0_163 ),
inference(forward_demodulation,[status(thm)],[f4613,f4755]) ).
fof(f4757,plain,
( $false
| ~ spl0_21
| ~ spl0_167
| ~ spl0_232
| ~ spl0_261
| ~ spl0_4
| spl0_163 ),
inference(trivial_equality_resolution,[status(esa)],[f4756]) ).
fof(f4758,plain,
( ~ spl0_21
| ~ spl0_167
| ~ spl0_232
| ~ spl0_261
| ~ spl0_4
| spl0_163 ),
inference(contradiction_clause,[status(thm)],[f4757]) ).
fof(f4759,plain,
( e21 != op2(h2(e10),h2(e11))
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f4662,f3640]) ).
fof(f4760,plain,
( e21 != op2(e21,h2(e11))
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f4662,f4759]) ).
fof(f4761,plain,
( e21 != op2(e21,e21)
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f4656,f4760]) ).
fof(f4762,plain,
( e21 != e21
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_4
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f4613,f4761]) ).
fof(f4763,plain,
( $false
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_4
| spl0_186 ),
inference(trivial_equality_resolution,[status(esa)],[f4762]) ).
fof(f4764,plain,
( ~ spl0_21
| ~ spl0_261
| ~ spl0_167
| ~ spl0_4
| spl0_186 ),
inference(contradiction_clause,[status(thm)],[f4763]) ).
fof(f4820,plain,
( spl0_274
| ~ spl0_21
| ~ spl0_261
| ~ spl0_167 ),
inference(split_clause,[status(thm)],[f4660,f1626,f710,f1574,f1259]) ).
fof(f4824,plain,
( h1(e10) != h1(e10)
| ~ spl0_56
| ~ spl0_258
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f825,f3704]) ).
fof(f4825,plain,
( $false
| ~ spl0_56
| ~ spl0_258
| spl0_176 ),
inference(trivial_equality_resolution,[status(esa)],[f4824]) ).
fof(f4826,plain,
( ~ spl0_56
| ~ spl0_258
| spl0_176 ),
inference(contradiction_clause,[status(thm)],[f4825]) ).
fof(f4832,plain,
( ~ spl0_265
| ~ spl0_34
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f4127,f1590,f752,f1487]) ).
fof(f4866,plain,
( op2(e21,e20) = e21
| ~ spl0_88
| ~ spl0_154 ),
inference(backward_demodulation,[status(thm)],[f961,f1213]) ).
fof(f4874,plain,
( op2(e23,e20) = e23
| ~ spl0_112
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1039,f1193]) ).
fof(f4875,plain,
( e20 = e23
| ~ spl0_112
| ~ spl0_148 ),
inference(forward_demodulation,[status(thm)],[f1039,f4874]) ).
fof(f4876,plain,
( $false
| ~ spl0_112
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[status(thm)],[f4875,f220]) ).
fof(f4877,plain,
( ~ spl0_112
| ~ spl0_148 ),
inference(contradiction_clause,[status(thm)],[f4876]) ).
fof(f4999,plain,
( e23 = e21
| ~ spl0_83
| ~ spl0_88
| ~ spl0_154 ),
inference(forward_demodulation,[status(thm)],[f944,f4866]) ).
fof(f5000,plain,
( $false
| ~ spl0_83
| ~ spl0_88
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[status(thm)],[f4999,f222]) ).
fof(f5001,plain,
( ~ spl0_83
| ~ spl0_88
| ~ spl0_154 ),
inference(contradiction_clause,[status(thm)],[f5000]) ).
fof(f5002,plain,
$false,
inference(sat_refutation,[status(thm)],[f654,f680,f693,f706,f719,f732,f745,f771,f784,f810,f836,f849,f850,f851,f852,f853,f854,f855,f856,f858,f859,f860,f861,f862,f863,f865,f868,f869,f870,f871,f872,f874,f875,f880,f907,f946,f959,f972,f985,f1011,f1037,f1063,f1089,f1090,f1092,f1093,f1094,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1104,f1108,f1110,f1111,f1112,f1114,f1119,f1120,f1121,f1147,f1160,f1173,f1177,f1195,f1208,f1221,f1234,f1238,f1458,f1540,f1549,f1569,f1577,f1633,f1653,f1673,f1697,f1701,f1721,f1741,f1749,f1758,f1767,f1768,f1769,f1770,f1776,f1777,f1779,f1785,f1794,f1803,f1805,f1807,f1812,f1816,f1821,f1830,f1839,f1840,f1841,f1842,f1848,f1849,f1851,f1857,f1866,f1875,f1876,f1879,f1884,f1885,f1888,f1893,f1895,f1896,f1898,f1906,f1907,f1911,f1912,f1914,f1920,f1921,f1923,f1929,f1938,f1939,f1940,f1947,f1948,f1957,f1966,f1967,f1968,f1970,f1974,f1975,f1976,f1977,f1979,f1980,f1982,f1983,f1986,f1988,f1989,f2037,f2042,f2048,f2050,f2054,f2132,f2137,f2176,f2202,f2214,f2218,f2222,f2233,f2240,f2244,f2253,f2275,f2283,f2296,f2303,f2307,f2317,f2324,f2334,f2338,f2343,f2347,f2386,f2392,f2395,f2399,f2402,f2445,f2446,f2449,f2450,f2458,f2462,f2489,f2491,f2493,f2496,f2505,f2507,f2534,f2548,f2555,f2558,f2560,f2562,f2564,f2568,f2580,f2616,f2619,f2628,f2642,f2649,f2654,f2678,f2686,f2694,f2703,f2713,f2719,f2727,f2734,f2737,f2748,f2785,f2788,f2790,f2793,f2795,f2798,f2801,f2804,f2806,f2808,f2812,f2813,f2814,f2818,f2822,f2825,f2828,f2836,f2842,f2844,f2848,f2850,f2856,f2876,f2878,f2890,f2893,f2898,f2904,f2911,f2919,f2933,f2941,f2943,f2948,f2961,f2968,f2970,f2978,f2980,f2981,f2990,f2992,f2999,f3000,f3004,f3037,f3054,f3077,f3088,f3096,f3099,f3103,f3107,f3109,f3117,f3122,f3143,f3147,f3150,f3164,f3167,f3190,f3198,f3204,f3206,f3213,f3218,f3222,f3223,f3224,f3225,f3229,f3231,f3276,f3285,f3291,f3292,f3293,f3295,f3299,f3300,f3315,f3318,f3321,f3326,f3327,f3331,f3332,f3337,f3338,f3342,f3344,f3345,f3351,f3356,f3358,f3360,f3366,f3371,f3378,f3384,f3385,f3386,f3388,f3392,f3404,f3405,f3410,f3411,f3433,f3452,f3454,f3574,f3633,f3636,f3643,f3647,f3656,f3661,f3675,f3676,f3682,f3684,f3689,f3761,f3869,f3890,f3909,f3918,f3920,f3954,f3967,f3984,f3986,f4002,f4009,f4012,f4035,f4052,f4061,f4070,f4088,f4096,f4112,f4141,f4147,f4177,f4179,f4181,f4186,f4210,f4217,f4223,f4234,f4241,f4250,f4272,f4292,f4296,f4320,f4327,f4331,f4335,f4339,f4351,f4368,f4374,f4385,f4420,f4426,f4432,f4460,f4470,f4493,f4501,f4514,f4523,f4538,f4553,f4568,f4573,f4687,f4707,f4758,f4764,f4820,f4826,f4832,f4877,f5001]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG106+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:22:05 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 6.24/1.19 % Refutation found
% 6.24/1.19 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.24/1.19 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.24/1.23 % Elapsed time: 0.868083 seconds
% 6.24/1.23 % CPU time: 6.641004 seconds
% 6.24/1.23 % Total memory used: 72.165 MB
% 6.24/1.23 % Net memory used: 70.548 MB
%------------------------------------------------------------------------------