TSTP Solution File: ALG112+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG112+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 20:09:54 EDT 2024
% Result : Theorem 4.97s 1.01s
% Output : CNFRefutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 247
% Syntax : Number of formulae : 1541 ( 164 unt; 0 def)
% Number of atoms : 4999 (2422 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5930 (2472 ~;2633 |; 595 &)
% ( 212 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 232 ( 230 usr; 231 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(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e13 = op1(e11,op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e23 = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e11) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = op2(e20,op2(op2(e20,e20),e20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e11) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e11) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e11) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = op2(e23,op2(op2(e23,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(f25,plain,
( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f28,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(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(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(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(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(f51,plain,
( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f56,plain,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f65,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f67,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f68,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f70,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(f78,plain,
( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f79,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f80,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f81,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f82,plain,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(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(f89,plain,
( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f90,plain,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f99,plain,
( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f101,plain,
( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f102,plain,
( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f104,plain,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f106,plain,
( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f107,plain,
( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f108,plain,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f109,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f112,plain,
( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f113,plain,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f115,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f116,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f120,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f121,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f123,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f125,plain,
op1(e11,e11) != op1(e12,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(f137,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f138,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f141,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f144,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f148,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f150,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f151,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f152,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f153,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f154,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f155,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f160,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f161,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f162,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f163,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f164,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f165,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f166,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f167,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f168,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f169,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(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(f187,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f189,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != 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(f196,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f197,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f198,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f199,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(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(f203,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f207,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f209,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f240,plain,
( pd0_0
=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( pd0_0
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f10,f240]) ).
fof(f242,plain,
( pd0_0
| op1(op1(e10,e13),op1(e10,e13)) = e10 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f243,plain,
( pd0_0
| op1(op1(e11,e13),op1(e11,e13)) = e11 ),
inference(cnf_transformation,[status(esa)],[f241]) ).
fof(f246,plain,
( pd0_1
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f247,plain,
( pd0_1
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f11,f246]) ).
fof(f248,plain,
( pd0_1
| op2(op2(e20,e23),op2(e20,e23)) = e20 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f249,plain,
( pd0_1
| op2(op2(e21,e23),op2(e21,e23)) = e21 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f250,plain,
( pd0_1
| op2(op2(e22,e23),op2(e22,e23)) = e22 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f251,plain,
( pd0_1
| op2(op2(e23,e23),op2(e23,e23)) = e23 ),
inference(cnf_transformation,[status(esa)],[f247]) ).
fof(f252,plain,
e10 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f253,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f254,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f255,plain,
e20 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f256,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f257,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f258,plain,
h1(e11) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f259,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f260,plain,
h1(e12) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f262,plain,
h2(e11) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f263,plain,
h2(e10) = op2(op2(e21,e21),e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f264,plain,
h2(e12) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f265,plain,
h2(e13) = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f266,plain,
h3(e11) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f267,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f268,plain,
h3(e12) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f269,plain,
h3(e13) = op2(e22,op2(op2(e22,e22),e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f270,plain,
h4(e11) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f271,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f272,plain,
h4(e12) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f273,plain,
h4(e13) = op2(e23,op2(op2(e23,e23),e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f274,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(f275,plain,
( pd0_2
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f276,plain,
( pd0_3
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f277,plain,
( pd0_4
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f278,plain,
( pd0_5
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f279,plain,
( pd0_6
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f280,plain,
( pd0_7
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f281,plain,
( pd0_8
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f282,plain,
( pd0_9
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f283,plain,
( pd0_10
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f284,plain,
( pd0_11
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f274]) ).
fof(f285,plain,
( pd0_12
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f274]) ).
fof(f286,plain,
( pd0_13
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f274]) ).
fof(f287,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)],[f274,f286,f285,f284,f283,f282,f281,f280,f279,f278,f277,f276,f275]) ).
fof(f295,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| pd0_5
| pd0_6
| pd0_7
| h2(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f287]) ).
fof(f304,plain,
( ~ pd0_0
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f305,plain,
( pd0_14
=> ( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 ) ) ),
introduced(predicate_definition,[f304]) ).
fof(f306,plain,
( ~ pd0_0
| pd0_14
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f304,f305]) ).
fof(f307,plain,
( ~ pd0_0
| pd0_14
| op1(op1(e10,e12),op1(e10,e12)) = e10 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f308,plain,
( ~ pd0_0
| pd0_14
| op1(op1(e11,e12),op1(e11,e12)) = e11 ),
inference(cnf_transformation,[status(esa)],[f306]) ).
fof(f311,plain,
( ~ pd0_1
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f246]) ).
fof(f312,plain,
( pd0_15
=> ( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 ) ) ),
introduced(predicate_definition,[f311]) ).
fof(f313,plain,
( ~ pd0_1
| pd0_15
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f311,f312]) ).
fof(f314,plain,
( ~ pd0_1
| pd0_15
| op2(op2(e20,e22),op2(e20,e22)) = e20 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f315,plain,
( ~ pd0_1
| pd0_15
| op2(op2(e21,e22),op2(e21,e22)) = e21 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f316,plain,
( ~ pd0_1
| pd0_15
| op2(op2(e22,e22),op2(e22,e22)) = e22 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f317,plain,
( ~ pd0_1
| pd0_15
| op2(op2(e23,e22),op2(e23,e22)) = e23 ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f318,plain,
( ~ pd0_2
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f275]) ).
fof(f320,plain,
( ~ pd0_2
| h1(e11) != e20 ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f333,plain,
( ~ pd0_5
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f278]) ).
fof(f334,plain,
( ~ pd0_5
| h2(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f333]) ).
fof(f338,plain,
( ~ pd0_6
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f279]) ).
fof(f340,plain,
( ~ pd0_6
| h2(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f338]) ).
fof(f343,plain,
( ~ pd0_7
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f280]) ).
fof(f346,plain,
( ~ pd0_7
| h2(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f343]) ).
fof(f358,plain,
( ~ pd0_10
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f283]) ).
fof(f360,plain,
( ~ pd0_10
| h3(e11) != e22 ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f378,plain,
( ~ pd0_14
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f305]) ).
fof(f379,plain,
( pd0_16
=> ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 ) ),
introduced(predicate_definition,[f378]) ).
fof(f380,plain,
( ~ pd0_14
| pd0_16
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 ) ),
inference(formula_renaming,[status(thm)],[f378,f379]) ).
fof(f381,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e10,e11),op1(e10,e11)) = e10 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f382,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e11,e11),op1(e11,e11)) = e11 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f384,plain,
( ~ pd0_14
| pd0_16
| op1(op1(e13,e11),op1(e13,e11)) = e13 ),
inference(cnf_transformation,[status(esa)],[f380]) ).
fof(f385,plain,
( ~ pd0_15
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f312]) ).
fof(f386,plain,
( pd0_17
=> ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 ) ),
introduced(predicate_definition,[f385]) ).
fof(f387,plain,
( ~ pd0_15
| pd0_17
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 ) ),
inference(formula_renaming,[status(thm)],[f385,f386]) ).
fof(f388,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e20,e21),op2(e20,e21)) = e20 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f389,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e21,e21),op2(e21,e21)) = e21 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f390,plain,
( ~ pd0_15
| pd0_17
| op2(op2(e22,e21),op2(e22,e21)) = e22 ),
inference(cnf_transformation,[status(esa)],[f387]) ).
fof(f392,plain,
( ~ pd0_16
| ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f379]) ).
fof(f393,plain,
( ~ pd0_16
| op1(op1(e10,e10),op1(e10,e10)) = e10 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f394,plain,
( ~ pd0_16
| op1(op1(e11,e10),op1(e11,e10)) = e11 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f395,plain,
( ~ pd0_16
| op1(op1(e12,e10),op1(e12,e10)) = e12 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f396,plain,
( ~ pd0_16
| op1(op1(e13,e10),op1(e13,e10)) = e13 ),
inference(cnf_transformation,[status(esa)],[f392]) ).
fof(f397,plain,
( ~ pd0_17
| ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f386]) ).
fof(f399,plain,
( ~ pd0_17
| op2(op2(e21,e20),op2(e21,e20)) = e21 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f401,plain,
( ~ pd0_17
| op2(op2(e23,e20),op2(e23,e20)) = e23 ),
inference(cnf_transformation,[status(esa)],[f397]) ).
fof(f402,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( op1(e10,e10) = e12
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f20,f402,f405,f408,f411]) ).
fof(f415,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( spl0_5
<=> op1(e10,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( op1(e10,e11) = e11
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f425,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f428,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_11
<=> op1(e10,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f22,f428,f431,f434,f437]) ).
fof(f441,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f454,plain,
( spl0_16
<=> op1(e11,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_18
<=> op1(e11,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( op1(e11,e10) = e12
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_19
<=> op1(e11,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( op1(e11,e10) = e13
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( op1(e11,e10) != e13
| spl0_19 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f467,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( op1(e11,e11) != e10
| spl0_20 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( op1(e11,e11) != e11
| spl0_21 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( spl0_23
<=> op1(e11,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( op1(e11,e11) = e13
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f25,f467,f470,f473,f476]) ).
fof(f480,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f26,f480,f483,f486,f489]) ).
fof(f493,plain,
( spl0_28
<=> op1(e11,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( op1(e11,e13) = e10
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f27,f493,f496,f499,f502]) ).
fof(f506,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( op1(e12,e10) = e12
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f28,f506,f509,f512,f515]) ).
fof(f519,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( op1(e12,e11) = e10
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( op1(e12,e11) != e10
| spl0_36 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f523,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f522]) ).
fof(f525,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f526,plain,
( op1(e12,e11) = e12
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f528,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f532,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f536,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f539,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( op1(e12,e12) != e12
| spl0_42 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( op1(e12,e12) = e13
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f541]) ).
fof(f544,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f532,f535,f538,f541]) ).
fof(f545,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f555,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f554]) ).
fof(f558,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f559,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( op1(e13,e10) = e11
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f565,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f32,f558,f561,f564,f567]) ).
fof(f571,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f572,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f575,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f578,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f581,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f584,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f585,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f584]) ).
fof(f587,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f588,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f591,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f594,plain,
( op1(e13,e12) = e13
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f596,plain,
( spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(split_clause,[status(thm)],[f34,f584,f587,f590,f593]) ).
fof(f597,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f598,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f597]) ).
fof(f600,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( op1(e13,e13) = e11
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f603,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f604,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f603]) ).
fof(f606,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f607,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f609,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f597,f600,f603,f606]) ).
fof(f611,plain,
( spl0_0
| spl0_16
| spl0_32
| spl0_48 ),
inference(split_clause,[status(thm)],[f37,f402,f454,f506,f558]) ).
fof(f616,plain,
( spl0_3
| spl0_7
| spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f42,f411,f424,f437,f450]) ).
fof(f620,plain,
( spl0_17
| spl0_21
| spl0_25
| spl0_29 ),
inference(split_clause,[status(thm)],[f46,f457,f470,f483,f496]) ).
fof(f621,plain,
( spl0_5
| spl0_21
| spl0_37
| spl0_53 ),
inference(split_clause,[status(thm)],[f47,f418,f470,f522,f574]) ).
fof(f625,plain,
( spl0_7
| spl0_23
| spl0_39
| spl0_55 ),
inference(split_clause,[status(thm)],[f51,f424,f476,f528,f580]) ).
fof(f628,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f509,f522,f535,f548]) ).
fof(f630,plain,
( spl0_34
| spl0_38
| spl0_42
| spl0_46 ),
inference(split_clause,[status(thm)],[f56,f512,f525,f538,f551]) ).
fof(f632,plain,
( spl0_35
| spl0_39
| spl0_43
| spl0_47 ),
inference(split_clause,[status(thm)],[f58,f515,f528,f541,f554]) ).
fof(f634,plain,
( spl0_48
| spl0_52
| spl0_56
| spl0_60 ),
inference(split_clause,[status(thm)],[f60,f558,f571,f584,f597]) ).
fof(f639,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f447,f499,f551,f603]) ).
fof(f641,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f450,f502,f554,f606]) ).
fof(f642,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f643,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f646,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f649,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f653,plain,
( op2(e20,e20) != e23
| spl0_67 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f68,f642,f645,f648,f651]) ).
fof(f658,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f659,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f658]) ).
fof(f661,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f668,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f672,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f671]) ).
fof(f674,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f675,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f674]) ).
fof(f677,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(split_clause,[status(thm)],[f70,f668,f671,f674,f677]) ).
fof(f681,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f681]) ).
fof(f687,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f688,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f691,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f690]) ).
fof(f697,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f700,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f701,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f704,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f703]) ).
fof(f707,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f708,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f709,plain,
( op2(e21,e21) != e20
| spl0_84 ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f711,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f712,plain,
( op2(e21,e21) != e21
| spl0_85 ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f716,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f719,plain,
( spl0_84
| spl0_85
| spl0_86
| spl0_87 ),
inference(split_clause,[status(thm)],[f73,f707,f710,f713,f716]) ).
fof(f720,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f721,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f720]) ).
fof(f723,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f724,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f723]) ).
fof(f726,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f727,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f730,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f732,plain,
( spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(split_clause,[status(thm)],[f74,f720,f723,f726,f729]) ).
fof(f733,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f734,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( op2(e21,e23) = e22
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f739]) ).
fof(f742,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f743,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f733,f736,f739,f742]) ).
fof(f749,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f753,plain,
( op2(e22,e20) = e22
| ~ spl0_98 ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f756,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f755]) ).
fof(f759,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f763,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f762]) ).
fof(f765,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f766,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f765]) ).
fof(f768,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f769,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f768]) ).
fof(f771,plain,
( spl0_100
| spl0_101
| spl0_102
| spl0_103 ),
inference(split_clause,[status(thm)],[f77,f759,f762,f765,f768]) ).
fof(f772,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f773,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f772]) ).
fof(f775,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f776,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f779,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f782,plain,
( op2(e22,e22) = e23
| ~ spl0_107 ),
inference(component_clause,[status(thm)],[f781]) ).
fof(f784,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f772,f775,f778,f781]) ).
fof(f785,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f786,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f785]) ).
fof(f788,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f789,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f788]) ).
fof(f791,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f794,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f795,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f794]) ).
fof(f797,plain,
( spl0_108
| spl0_109
| spl0_110
| spl0_111 ),
inference(split_clause,[status(thm)],[f79,f785,f788,f791,f794]) ).
fof(f798,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f799,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f801,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f802,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f805,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f804]) ).
fof(f807,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f808,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f807]) ).
fof(f810,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f798,f801,f804,f807]) ).
fof(f811,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f812,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f815,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f814]) ).
fof(f817,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f818,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( spl0_116
| spl0_117
| spl0_118
| spl0_119 ),
inference(split_clause,[status(thm)],[f81,f811,f814,f817,f820]) ).
fof(f824,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f825,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f824]) ).
fof(f827,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f828,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f834,plain,
( op2(e23,e22) = e23
| ~ spl0_123 ),
inference(component_clause,[status(thm)],[f833]) ).
fof(f836,plain,
( spl0_120
| spl0_121
| spl0_122
| spl0_123 ),
inference(split_clause,[status(thm)],[f82,f824,f827,f830,f833]) ).
fof(f837,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f838,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f841,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f843,plain,
( spl0_126
<=> op2(e23,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f844,plain,
( op2(e23,e23) = e22
| ~ spl0_126 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( spl0_124
| spl0_125
| spl0_126
| spl0_127 ),
inference(split_clause,[status(thm)],[f83,f837,f840,f843,f846]) ).
fof(f853,plain,
( spl0_65
| spl0_81
| spl0_97
| spl0_113 ),
inference(split_clause,[status(thm)],[f87,f645,f697,f749,f801]) ).
fof(f854,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f88,f648,f661,f674,f687]) ).
fof(f855,plain,
( spl0_66
| spl0_82
| spl0_98
| spl0_114 ),
inference(split_clause,[status(thm)],[f89,f648,f700,f752,f804]) ).
fof(f856,plain,
( spl0_67
| spl0_71
| spl0_75
| spl0_79 ),
inference(split_clause,[status(thm)],[f90,f651,f664,f677,f690]) ).
fof(f861,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f658,f710,f762,f814]) ).
fof(f865,plain,
( spl0_71
| spl0_87
| spl0_103
| spl0_119 ),
inference(split_clause,[status(thm)],[f99,f664,f716,f768,f820]) ).
fof(f867,plain,
( spl0_72
| spl0_88
| spl0_104
| spl0_120 ),
inference(split_clause,[status(thm)],[f101,f668,f720,f772,f824]) ).
fof(f868,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f102,f749,f762,f775,f788]) ).
fof(f870,plain,
( spl0_98
| spl0_102
| spl0_106
| spl0_110 ),
inference(split_clause,[status(thm)],[f104,f752,f765,f778,f791]) ).
fof(f871,plain,
( spl0_74
| spl0_90
| spl0_106
| spl0_122 ),
inference(split_clause,[status(thm)],[f105,f674,f726,f778,f830]) ).
fof(f872,plain,
( spl0_99
| spl0_103
| spl0_107
| spl0_111 ),
inference(split_clause,[status(thm)],[f106,f755,f768,f781,f794]) ).
fof(f873,plain,
( spl0_75
| spl0_91
| spl0_107
| spl0_123 ),
inference(split_clause,[status(thm)],[f107,f677,f729,f781,f833]) ).
fof(f874,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f798,f811,f824,f837]) ).
fof(f875,plain,
( spl0_76
| spl0_92
| spl0_108
| spl0_124 ),
inference(split_clause,[status(thm)],[f109,f681,f733,f785,f837]) ).
fof(f878,plain,
( spl0_114
| spl0_118
| spl0_122
| spl0_126 ),
inference(split_clause,[status(thm)],[f112,f804,f817,f830,f843]) ).
fof(f879,plain,
( spl0_78
| spl0_94
| spl0_110
| spl0_126 ),
inference(split_clause,[status(thm)],[f113,f687,f739,f791,f843]) ).
fof(f881,plain,
( spl0_79
| spl0_95
| spl0_111
| spl0_127 ),
inference(split_clause,[status(thm)],[f115,f690,f742,f794,f846]) ).
fof(f882,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_129
<=> op1(op1(e10,e13),op1(e10,e13)) = e10 ),
introduced(split_symbol_definition) ).
fof(f886,plain,
( op1(op1(e10,e13),op1(e10,e13)) = e10
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f885]) ).
fof(f888,plain,
( spl0_128
| spl0_129 ),
inference(split_clause,[status(thm)],[f242,f882,f885]) ).
fof(f889,plain,
( spl0_130
<=> op1(op1(e11,e13),op1(e11,e13)) = e11 ),
introduced(split_symbol_definition) ).
fof(f890,plain,
( op1(op1(e11,e13),op1(e11,e13)) = e11
| ~ spl0_130 ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( spl0_128
| spl0_130 ),
inference(split_clause,[status(thm)],[f243,f882,f889]) ).
fof(f893,plain,
( spl0_131
<=> op1(op1(e12,e13),op1(e12,e13)) = e12 ),
introduced(split_symbol_definition) ).
fof(f894,plain,
( op1(op1(e12,e13),op1(e12,e13)) = e12
| ~ spl0_131 ),
inference(component_clause,[status(thm)],[f893]) ).
fof(f897,plain,
( spl0_132
<=> op1(op1(e13,e13),op1(e13,e13)) = e13 ),
introduced(split_symbol_definition) ).
fof(f898,plain,
( op1(op1(e13,e13),op1(e13,e13)) = e13
| ~ spl0_132 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f901,plain,
( spl0_133
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f904,plain,
( spl0_134
<=> op2(op2(e20,e23),op2(e20,e23)) = e20 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(op2(e20,e23),op2(e20,e23)) = e20
| ~ spl0_134 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_133
| spl0_134 ),
inference(split_clause,[status(thm)],[f248,f901,f904]) ).
fof(f908,plain,
( spl0_135
<=> op2(op2(e21,e23),op2(e21,e23)) = e21 ),
introduced(split_symbol_definition) ).
fof(f909,plain,
( op2(op2(e21,e23),op2(e21,e23)) = e21
| ~ spl0_135 ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,plain,
( spl0_133
| spl0_135 ),
inference(split_clause,[status(thm)],[f249,f901,f908]) ).
fof(f912,plain,
( spl0_136
<=> op2(op2(e22,e23),op2(e22,e23)) = e22 ),
introduced(split_symbol_definition) ).
fof(f913,plain,
( op2(op2(e22,e23),op2(e22,e23)) = e22
| ~ spl0_136 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f914,plain,
( op2(op2(e22,e23),op2(e22,e23)) != e22
| spl0_136 ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( spl0_133
| spl0_136 ),
inference(split_clause,[status(thm)],[f250,f901,f912]) ).
fof(f916,plain,
( spl0_137
<=> op2(op2(e23,e23),op2(e23,e23)) = e23 ),
introduced(split_symbol_definition) ).
fof(f917,plain,
( op2(op2(e23,e23),op2(e23,e23)) = e23
| ~ spl0_137 ),
inference(component_clause,[status(thm)],[f916]) ).
fof(f919,plain,
( spl0_133
| spl0_137 ),
inference(split_clause,[status(thm)],[f251,f901,f916]) ).
fof(f947,plain,
( spl0_147
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(split_symbol_definition) ).
fof(f949,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl0_147 ),
inference(component_clause,[status(thm)],[f947]) ).
fof(f968,plain,
( spl0_154
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f993,plain,
( spl0_161
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f995,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl0_161 ),
inference(component_clause,[status(thm)],[f993]) ).
fof(f996,plain,
( spl0_162
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f998,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl0_162 ),
inference(component_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( spl0_163
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1001,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl0_163 ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,plain,
( spl0_164
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1004,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_164 ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( spl0_165
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1007,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl0_165 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1008,plain,
( spl0_166
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1010,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl0_166 ),
inference(component_clause,[status(thm)],[f1008]) ).
fof(f1011,plain,
( spl0_167
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1013,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl0_167 ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( spl0_168
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1016,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl0_168 ),
inference(component_clause,[status(thm)],[f1014]) ).
fof(f1017,plain,
( spl0_169
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1017]) ).
fof(f1020,plain,
( spl0_170
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl0_170 ),
inference(component_clause,[status(thm)],[f1020]) ).
fof(f1023,plain,
( spl0_171
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1025,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_171 ),
inference(component_clause,[status(thm)],[f1023]) ).
fof(f1026,plain,
( spl0_172
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1028,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl0_172 ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( spl0_173
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(split_symbol_definition) ).
fof(f1031,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl0_173 ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,plain,
( spl0_174
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(split_symbol_definition) ).
fof(f1034,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( spl0_175
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1037,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl0_175 ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1038,plain,
( spl0_176
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1040,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_176 ),
inference(component_clause,[status(thm)],[f1038]) ).
fof(f1041,plain,
( spl0_177
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f1044,plain,
( spl0_178
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f1047,plain,
( spl0_179
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1062,plain,
( spl0_183
<=> h2(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1063,plain,
( h2(e13) = e23
| ~ spl0_183 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1064,plain,
( h2(e13) != e23
| spl0_183 ),
inference(component_clause,[status(thm)],[f1062]) ).
fof(f1065,plain,
( ~ spl0_161
| ~ spl0_162
| ~ spl0_163
| ~ spl0_164
| ~ spl0_165
| ~ spl0_166
| ~ spl0_167
| ~ spl0_168
| ~ spl0_169
| ~ spl0_170
| ~ spl0_171
| ~ spl0_172
| ~ spl0_173
| ~ spl0_174
| ~ spl0_175
| ~ spl0_176
| spl0_177
| spl0_178
| spl0_179
| ~ spl0_183 ),
inference(split_clause,[status(thm)],[f295,f993,f996,f999,f1002,f1005,f1008,f1011,f1014,f1017,f1020,f1023,f1026,f1029,f1032,f1035,f1038,f1041,f1044,f1047,f1062]) ).
fof(f1066,plain,
( spl0_184
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1068,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_184 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( spl0_185
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1071,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1069]) ).
fof(f1072,plain,
( spl0_186
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1074,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1072]) ).
fof(f1075,plain,
( spl0_187
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1077,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1075]) ).
fof(f1078,plain,
( spl0_188
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1080,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1078]) ).
fof(f1081,plain,
( spl0_189
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1083,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1081]) ).
fof(f1084,plain,
( spl0_190
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1085,plain,
( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
| ~ spl0_190 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1087,plain,
( spl0_191
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1089,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,plain,
( spl0_192
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1092,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( spl0_193
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1095,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,plain,
( spl0_194
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1098,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_194 ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,plain,
( spl0_195
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1101,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_195 ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,plain,
( spl0_196
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1104,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_196 ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( spl0_197
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1107,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_197 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1108,plain,
( spl0_198
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1110,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_198 ),
inference(component_clause,[status(thm)],[f1108]) ).
fof(f1111,plain,
( spl0_199
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1113,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_199 ),
inference(component_clause,[status(thm)],[f1111]) ).
fof(f1120,plain,
( spl0_202
<=> pd0_10 ),
introduced(split_symbol_definition) ).
fof(f1131,plain,
( spl0_205
<=> h3(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1132,plain,
( h3(e12) = e23
| ~ spl0_205 ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1133,plain,
( h3(e12) != e23
| spl0_205 ),
inference(component_clause,[status(thm)],[f1131]) ).
fof(f1135,plain,
( spl0_206
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1136,plain,
( h3(e13) = e23
| ~ spl0_206 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1137,plain,
( h3(e13) != e23
| spl0_206 ),
inference(component_clause,[status(thm)],[f1135]) ).
fof(f1151,plain,
( spl0_211
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(split_symbol_definition) ).
fof(f1153,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl0_211 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( spl0_212
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1156,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl0_212 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1166,plain,
( spl0_216
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl0_216 ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1200,plain,
( spl0_227
<=> h4(e11) = e23 ),
introduced(split_symbol_definition) ).
fof(f1201,plain,
( h4(e11) = e23
| ~ spl0_227 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1202,plain,
( h4(e11) != e23
| spl0_227 ),
inference(component_clause,[status(thm)],[f1200]) ).
fof(f1212,plain,
( spl0_230
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1215,plain,
( spl0_231
<=> op1(op1(e10,e12),op1(e10,e12)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1216,plain,
( op1(op1(e10,e12),op1(e10,e12)) = e10
| ~ spl0_231 ),
inference(component_clause,[status(thm)],[f1215]) ).
fof(f1218,plain,
( ~ spl0_128
| spl0_230
| spl0_231 ),
inference(split_clause,[status(thm)],[f307,f882,f1212,f1215]) ).
fof(f1219,plain,
( spl0_232
<=> op1(op1(e11,e12),op1(e11,e12)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1220,plain,
( op1(op1(e11,e12),op1(e11,e12)) = e11
| ~ spl0_232 ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1222,plain,
( ~ spl0_128
| spl0_230
| spl0_232 ),
inference(split_clause,[status(thm)],[f308,f882,f1212,f1219]) ).
fof(f1223,plain,
( spl0_233
<=> op1(op1(e12,e12),op1(e12,e12)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1224,plain,
( op1(op1(e12,e12),op1(e12,e12)) = e12
| ~ spl0_233 ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1231,plain,
( spl0_235
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1234,plain,
( spl0_236
<=> op2(op2(e20,e22),op2(e20,e22)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1237,plain,
( ~ spl0_133
| spl0_235
| spl0_236 ),
inference(split_clause,[status(thm)],[f314,f901,f1231,f1234]) ).
fof(f1238,plain,
( spl0_237
<=> op2(op2(e21,e22),op2(e21,e22)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1239,plain,
( op2(op2(e21,e22),op2(e21,e22)) = e21
| ~ spl0_237 ),
inference(component_clause,[status(thm)],[f1238]) ).
fof(f1241,plain,
( ~ spl0_133
| spl0_235
| spl0_237 ),
inference(split_clause,[status(thm)],[f315,f901,f1231,f1238]) ).
fof(f1242,plain,
( spl0_238
<=> op2(op2(e22,e22),op2(e22,e22)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1243,plain,
( op2(op2(e22,e22),op2(e22,e22)) = e22
| ~ spl0_238 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1244,plain,
( op2(op2(e22,e22),op2(e22,e22)) != e22
| spl0_238 ),
inference(component_clause,[status(thm)],[f1242]) ).
fof(f1245,plain,
( ~ spl0_133
| spl0_235
| spl0_238 ),
inference(split_clause,[status(thm)],[f316,f901,f1231,f1242]) ).
fof(f1246,plain,
( spl0_239
<=> op2(op2(e23,e22),op2(e23,e22)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1247,plain,
( op2(op2(e23,e22),op2(e23,e22)) = e23
| ~ spl0_239 ),
inference(component_clause,[status(thm)],[f1246]) ).
fof(f1249,plain,
( ~ spl0_133
| spl0_235
| spl0_239 ),
inference(split_clause,[status(thm)],[f317,f901,f1231,f1246]) ).
fof(f1254,plain,
( spl0_241
<=> h1(e11) = e20 ),
introduced(split_symbol_definition) ).
fof(f1255,plain,
( h1(e11) = e20
| ~ spl0_241 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
( h1(e11) != e20
| spl0_241 ),
inference(component_clause,[status(thm)],[f1254]) ).
fof(f1257,plain,
( ~ spl0_154
| ~ spl0_241 ),
inference(split_clause,[status(thm)],[f320,f968,f1254]) ).
fof(f1290,plain,
( spl0_250
<=> h1(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1291,plain,
( h1(e12) = e22
| ~ spl0_250 ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1292,plain,
( h1(e12) != e22
| spl0_250 ),
inference(component_clause,[status(thm)],[f1290]) ).
fof(f1298,plain,
( spl0_252
<=> h2(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1299,plain,
( h2(e10) = e20
| ~ spl0_252 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( h2(e10) != e20
| spl0_252 ),
inference(component_clause,[status(thm)],[f1298]) ).
fof(f1301,plain,
( ~ spl0_177
| ~ spl0_252 ),
inference(split_clause,[status(thm)],[f334,f1041,f1298]) ).
fof(f1318,plain,
( spl0_257
<=> h2(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1319,plain,
( h2(e11) = e21
| ~ spl0_257 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1320,plain,
( h2(e11) != e21
| spl0_257 ),
inference(component_clause,[status(thm)],[f1318]) ).
fof(f1321,plain,
( ~ spl0_178
| ~ spl0_257 ),
inference(split_clause,[status(thm)],[f340,f1044,f1318]) ).
fof(f1338,plain,
( spl0_262
<=> h2(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1339,plain,
( h2(e12) = e22
| ~ spl0_262 ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1340,plain,
( h2(e12) != e22
| spl0_262 ),
inference(component_clause,[status(thm)],[f1338]) ).
fof(f1341,plain,
( ~ spl0_179
| ~ spl0_262 ),
inference(split_clause,[status(thm)],[f346,f1047,f1338]) ).
fof(f1378,plain,
( spl0_272
<=> h3(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f1380,plain,
( h3(e10) != e22
| spl0_272 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1382,plain,
( spl0_273
<=> h3(e11) = e22 ),
introduced(split_symbol_definition) ).
fof(f1383,plain,
( h3(e11) = e22
| ~ spl0_273 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1384,plain,
( h3(e11) != e22
| spl0_273 ),
inference(component_clause,[status(thm)],[f1382]) ).
fof(f1385,plain,
( ~ spl0_202
| ~ spl0_273 ),
inference(split_clause,[status(thm)],[f360,f1120,f1382]) ).
fof(f1386,plain,
( spl0_274
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1387,plain,
( h3(e12) = e22
| ~ spl0_274 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1388,plain,
( h3(e12) != e22
| spl0_274 ),
inference(component_clause,[status(thm)],[f1386]) ).
fof(f1390,plain,
( spl0_275
<=> h3(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1391,plain,
( h3(e13) = e22
| ~ spl0_275 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1392,plain,
( h3(e13) != e22
| spl0_275 ),
inference(component_clause,[status(thm)],[f1390]) ).
fof(f1442,plain,
( spl0_288
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1445,plain,
( spl0_289
<=> op1(op1(e10,e11),op1(e10,e11)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1446,plain,
( op1(op1(e10,e11),op1(e10,e11)) = e10
| ~ spl0_289 ),
inference(component_clause,[status(thm)],[f1445]) ).
fof(f1448,plain,
( ~ spl0_230
| spl0_288
| spl0_289 ),
inference(split_clause,[status(thm)],[f381,f1212,f1442,f1445]) ).
fof(f1449,plain,
( spl0_290
<=> op1(op1(e11,e11),op1(e11,e11)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1450,plain,
( op1(op1(e11,e11),op1(e11,e11)) = e11
| ~ spl0_290 ),
inference(component_clause,[status(thm)],[f1449]) ).
fof(f1452,plain,
( ~ spl0_230
| spl0_288
| spl0_290 ),
inference(split_clause,[status(thm)],[f382,f1212,f1442,f1449]) ).
fof(f1453,plain,
( spl0_291
<=> op1(op1(e12,e11),op1(e12,e11)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1454,plain,
( op1(op1(e12,e11),op1(e12,e11)) = e12
| ~ spl0_291 ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1455,plain,
( op1(op1(e12,e11),op1(e12,e11)) != e12
| spl0_291 ),
inference(component_clause,[status(thm)],[f1453]) ).
fof(f1457,plain,
( spl0_292
<=> op1(op1(e13,e11),op1(e13,e11)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1458,plain,
( op1(op1(e13,e11),op1(e13,e11)) = e13
| ~ spl0_292 ),
inference(component_clause,[status(thm)],[f1457]) ).
fof(f1460,plain,
( ~ spl0_230
| spl0_288
| spl0_292 ),
inference(split_clause,[status(thm)],[f384,f1212,f1442,f1457]) ).
fof(f1461,plain,
( spl0_293
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1464,plain,
( spl0_294
<=> op2(op2(e20,e21),op2(e20,e21)) = e20 ),
introduced(split_symbol_definition) ).
fof(f1465,plain,
( op2(op2(e20,e21),op2(e20,e21)) = e20
| ~ spl0_294 ),
inference(component_clause,[status(thm)],[f1464]) ).
fof(f1467,plain,
( ~ spl0_235
| spl0_293
| spl0_294 ),
inference(split_clause,[status(thm)],[f388,f1231,f1461,f1464]) ).
fof(f1468,plain,
( spl0_295
<=> op2(op2(e21,e21),op2(e21,e21)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1469,plain,
( op2(op2(e21,e21),op2(e21,e21)) = e21
| ~ spl0_295 ),
inference(component_clause,[status(thm)],[f1468]) ).
fof(f1471,plain,
( ~ spl0_235
| spl0_293
| spl0_295 ),
inference(split_clause,[status(thm)],[f389,f1231,f1461,f1468]) ).
fof(f1472,plain,
( spl0_296
<=> op2(op2(e22,e21),op2(e22,e21)) = e22 ),
introduced(split_symbol_definition) ).
fof(f1473,plain,
( op2(op2(e22,e21),op2(e22,e21)) = e22
| ~ spl0_296 ),
inference(component_clause,[status(thm)],[f1472]) ).
fof(f1475,plain,
( ~ spl0_235
| spl0_293
| spl0_296 ),
inference(split_clause,[status(thm)],[f390,f1231,f1461,f1472]) ).
fof(f1480,plain,
( spl0_298
<=> op1(op1(e10,e10),op1(e10,e10)) = e10 ),
introduced(split_symbol_definition) ).
fof(f1481,plain,
( op1(op1(e10,e10),op1(e10,e10)) = e10
| ~ spl0_298 ),
inference(component_clause,[status(thm)],[f1480]) ).
fof(f1483,plain,
( ~ spl0_288
| spl0_298 ),
inference(split_clause,[status(thm)],[f393,f1442,f1480]) ).
fof(f1484,plain,
( spl0_299
<=> op1(op1(e11,e10),op1(e11,e10)) = e11 ),
introduced(split_symbol_definition) ).
fof(f1485,plain,
( op1(op1(e11,e10),op1(e11,e10)) = e11
| ~ spl0_299 ),
inference(component_clause,[status(thm)],[f1484]) ).
fof(f1487,plain,
( ~ spl0_288
| spl0_299 ),
inference(split_clause,[status(thm)],[f394,f1442,f1484]) ).
fof(f1488,plain,
( spl0_300
<=> op1(op1(e12,e10),op1(e12,e10)) = e12 ),
introduced(split_symbol_definition) ).
fof(f1491,plain,
( ~ spl0_288
| spl0_300 ),
inference(split_clause,[status(thm)],[f395,f1442,f1488]) ).
fof(f1492,plain,
( spl0_301
<=> op1(op1(e13,e10),op1(e13,e10)) = e13 ),
introduced(split_symbol_definition) ).
fof(f1493,plain,
( op1(op1(e13,e10),op1(e13,e10)) = e13
| ~ spl0_301 ),
inference(component_clause,[status(thm)],[f1492]) ).
fof(f1495,plain,
( ~ spl0_288
| spl0_301 ),
inference(split_clause,[status(thm)],[f396,f1442,f1492]) ).
fof(f1500,plain,
( spl0_303
<=> op2(op2(e21,e20),op2(e21,e20)) = e21 ),
introduced(split_symbol_definition) ).
fof(f1501,plain,
( op2(op2(e21,e20),op2(e21,e20)) = e21
| ~ spl0_303 ),
inference(component_clause,[status(thm)],[f1500]) ).
fof(f1503,plain,
( ~ spl0_293
| spl0_303 ),
inference(split_clause,[status(thm)],[f399,f1461,f1500]) ).
fof(f1508,plain,
( spl0_305
<=> op2(op2(e23,e20),op2(e23,e20)) = e23 ),
introduced(split_symbol_definition) ).
fof(f1509,plain,
( op2(op2(e23,e20),op2(e23,e20)) = e23
| ~ spl0_305 ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,plain,
( ~ spl0_293
| spl0_305 ),
inference(split_clause,[status(thm)],[f401,f1461,f1508]) ).
fof(f1512,plain,
e10 = op1(e12,e11),
inference(backward_demodulation,[status(thm)],[f253,f252]) ).
fof(f1514,plain,
( h2(e12) != op2(h2(e11),h2(e11))
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f253,f1010]) ).
fof(f1515,plain,
( h3(e12) != op2(h3(e11),h3(e11))
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f253,f1083]) ).
fof(f1516,plain,
( h4(e12) != op2(h4(e11),h4(e11))
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f253,f1156]) ).
fof(f1519,plain,
e20 = op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f256,f255]) ).
fof(f1522,plain,
( $false
| spl0_241 ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f1256]) ).
fof(f1523,plain,
spl0_241,
inference(contradiction_clause,[status(thm)],[f1522]) ).
fof(f1524,plain,
h1(e10) = op2(h1(e12),e20),
inference(backward_demodulation,[status(thm)],[f260,f259]) ).
fof(f1526,plain,
( $false
| spl0_257 ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f1320]) ).
fof(f1527,plain,
spl0_257,
inference(contradiction_clause,[status(thm)],[f1526]) ).
fof(f1528,plain,
h2(e10) = op2(e22,e21),
inference(forward_demodulation,[status(thm)],[f256,f263]) ).
fof(f1532,plain,
h2(e12) = e22,
inference(forward_demodulation,[status(thm)],[f256,f264]) ).
fof(f1533,plain,
( $false
| spl0_262 ),
inference(forward_subsumption_resolution,[status(thm)],[f1532,f1340]) ).
fof(f1534,plain,
spl0_262,
inference(contradiction_clause,[status(thm)],[f1533]) ).
fof(f1535,plain,
h2(e13) = op2(e21,op2(e22,e21)),
inference(forward_demodulation,[status(thm)],[f256,f265]) ).
fof(f1536,plain,
h2(e13) = op2(e21,h2(e10)),
inference(forward_demodulation,[status(thm)],[f1528,f1535]) ).
fof(f1537,plain,
( $false
| spl0_273 ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f1384]) ).
fof(f1538,plain,
spl0_273,
inference(contradiction_clause,[status(thm)],[f1537]) ).
fof(f1539,plain,
h3(e10) = op2(h3(e12),e22),
inference(backward_demodulation,[status(thm)],[f268,f267]) ).
fof(f1545,plain,
h3(e13) = op2(e22,op2(h3(e12),e22)),
inference(forward_demodulation,[status(thm)],[f268,f269]) ).
fof(f1546,plain,
( $false
| spl0_227 ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f1202]) ).
fof(f1547,plain,
spl0_227,
inference(contradiction_clause,[status(thm)],[f1546]) ).
fof(f1548,plain,
h4(e10) = op2(h4(e12),e23),
inference(backward_demodulation,[status(thm)],[f272,f271]) ).
fof(f1555,plain,
h4(e13) = op2(e23,op2(h4(e12),e23)),
inference(forward_demodulation,[status(thm)],[f272,f273]) ).
fof(f1559,plain,
( op2(e22,e22) != e23
| ~ spl0_111 ),
inference(paramodulation,[status(thm)],[f795,f205]) ).
fof(f1567,plain,
( op2(e21,e20) != e23
| ~ spl0_95 ),
inference(paramodulation,[status(thm)],[f743,f196]) ).
fof(f1569,plain,
( op2(e20,e22) != e23
| ~ spl0_79 ),
inference(paramodulation,[status(thm)],[f691,f193]) ).
fof(f1572,plain,
( op2(e23,e21) != e23
| ~ spl0_123 ),
inference(paramodulation,[status(thm)],[f834,f209]) ).
fof(f1574,plain,
( op2(e22,e22) != e23
| ~ spl0_123 ),
inference(paramodulation,[status(thm)],[f834,f181]) ).
fof(f1583,plain,
( op2(e21,e20) != e23
| ~ spl0_115 ),
inference(paramodulation,[status(thm)],[f808,f168]) ).
fof(f1585,plain,
( op2(e23,e22) != e22
| ~ spl0_126 ),
inference(paramodulation,[status(thm)],[f844,f211]) ).
fof(f1587,plain,
( op2(e23,e20) != e22
| ~ spl0_126 ),
inference(paramodulation,[status(thm)],[f844,f208]) ).
fof(f1588,plain,
( op2(e22,e23) != e22
| ~ spl0_126 ),
inference(paramodulation,[status(thm)],[f844,f187]) ).
fof(f1591,plain,
( e22 = e23
| ~ spl0_110
| ~ spl0_111 ),
inference(backward_demodulation,[status(thm)],[f792,f795]) ).
fof(f1592,plain,
( $false
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f223]) ).
fof(f1593,plain,
( ~ spl0_110
| ~ spl0_111 ),
inference(contradiction_clause,[status(thm)],[f1592]) ).
fof(f1597,plain,
( e22 = e23
| ~ spl0_78
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f688,f691]) ).
fof(f1598,plain,
( $false
| ~ spl0_78
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f1597,f223]) ).
fof(f1599,plain,
( ~ spl0_78
| ~ spl0_79 ),
inference(contradiction_clause,[status(thm)],[f1598]) ).
fof(f1600,plain,
( e22 = e23
| ~ spl0_122
| ~ spl0_123 ),
inference(backward_demodulation,[status(thm)],[f831,f834]) ).
fof(f1601,plain,
( $false
| ~ spl0_122
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[status(thm)],[f1600,f223]) ).
fof(f1602,plain,
( ~ spl0_122
| ~ spl0_123 ),
inference(contradiction_clause,[status(thm)],[f1601]) ).
fof(f1609,plain,
( e21 = e22
| ~ spl0_125
| ~ spl0_126 ),
inference(backward_demodulation,[status(thm)],[f841,f844]) ).
fof(f1610,plain,
( $false
| ~ spl0_125
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1609,f221]) ).
fof(f1611,plain,
( ~ spl0_125
| ~ spl0_126 ),
inference(contradiction_clause,[status(thm)],[f1610]) ).
fof(f1613,plain,
( op2(e23,e20) != e22
| ~ spl0_122 ),
inference(paramodulation,[status(thm)],[f831,f207]) ).
fof(f1616,plain,
( op2(e20,e22) != e22
| ~ spl0_122 ),
inference(paramodulation,[status(thm)],[f831,f178]) ).
fof(f1622,plain,
( op2(e22,e22) != e21
| ~ spl0_109 ),
inference(paramodulation,[status(thm)],[f789,f205]) ).
fof(f1624,plain,
( op2(e22,e20) != e21
| ~ spl0_109 ),
inference(paramodulation,[status(thm)],[f789,f202]) ).
fof(f1625,plain,
( op2(e21,e23) != e21
| ~ spl0_109 ),
inference(paramodulation,[status(thm)],[f789,f185]) ).
fof(f1627,plain,
e13 = op1(e11,op1(e12,e11)),
inference(forward_demodulation,[status(thm)],[f253,f254]) ).
fof(f1628,plain,
e23 = op2(e21,op2(e22,e21)),
inference(forward_demodulation,[status(thm)],[f256,f257]) ).
fof(f1629,plain,
e23 = op2(e21,h2(e10)),
inference(forward_demodulation,[status(thm)],[f1528,f1628]) ).
fof(f1630,plain,
h2(e13) = e23,
inference(backward_demodulation,[status(thm)],[f1629,f1536]) ).
fof(f1633,plain,
( op2(e21,e20) != e21
| ~ spl0_93 ),
inference(paramodulation,[status(thm)],[f737,f196]) ).
fof(f1638,plain,
( op2(e23,e21) != e21
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f828,f209]) ).
fof(f1641,plain,
( op2(e21,e22) != e21
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f828,f180]) ).
fof(f1643,plain,
( op2(e23,e20) != e21
| ~ spl0_117 ),
inference(paramodulation,[status(thm)],[f815,f206]) ).
fof(f1646,plain,
( op2(e20,e21) != e21
| ~ spl0_117 ),
inference(paramodulation,[status(thm)],[f815,f172]) ).
fof(f1647,plain,
( op2(e22,e20) != e21
| ~ spl0_113 ),
inference(paramodulation,[status(thm)],[f802,f169]) ).
fof(f1650,plain,
( op2(e23,e22) != e20
| ~ spl0_124 ),
inference(paramodulation,[status(thm)],[f838,f211]) ).
fof(f1652,plain,
( op2(e23,e20) != e20
| ~ spl0_124 ),
inference(paramodulation,[status(thm)],[f838,f208]) ).
fof(f1654,plain,
( op2(e21,e23) != e20
| ~ spl0_124 ),
inference(paramodulation,[status(thm)],[f838,f186]) ).
fof(f1674,plain,
( h3(e12) = e23
| ~ spl0_107 ),
inference(backward_demodulation,[status(thm)],[f782,f268]) ).
fof(f1675,plain,
( $false
| spl0_205
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[status(thm)],[f1674,f1133]) ).
fof(f1676,plain,
( spl0_205
| ~ spl0_107 ),
inference(contradiction_clause,[status(thm)],[f1675]) ).
fof(f1679,plain,
( op2(e21,e20) != e23
| ~ spl0_91 ),
inference(paramodulation,[status(thm)],[f730,f195]) ).
fof(f1681,plain,
( op2(e20,e21) != e23
| ~ spl0_75 ),
inference(paramodulation,[status(thm)],[f678,f191]) ).
fof(f1686,plain,
( op2(e21,e20) != e23
| ~ spl0_99 ),
inference(paramodulation,[status(thm)],[f756,f167]) ).
fof(f1689,plain,
( op2(e22,e20) != e22
| ~ spl0_106 ),
inference(paramodulation,[status(thm)],[f779,f201]) ).
fof(f1691,plain,
( op2(e20,e22) != e22
| ~ spl0_106 ),
inference(paramodulation,[status(thm)],[f779,f177]) ).
fof(f1695,plain,
( e22 = e23
| ~ spl0_74
| ~ spl0_75 ),
inference(backward_demodulation,[status(thm)],[f675,f678]) ).
fof(f1696,plain,
( $false
| ~ spl0_74
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f1695,f223]) ).
fof(f1697,plain,
( ~ spl0_74
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f1696]) ).
fof(f1699,plain,
( op2(e21,e21) != e22
| ~ spl0_102 ),
inference(paramodulation,[status(thm)],[f766,f173]) ).
fof(f1700,plain,
( e22 != e22
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f256,f1699]) ).
fof(f1701,plain,
( $false
| ~ spl0_102 ),
inference(trivial_equality_resolution,[status(esa)],[f1700]) ).
fof(f1702,plain,
~ spl0_102,
inference(contradiction_clause,[status(thm)],[f1701]) ).
fof(f1706,plain,
( e21 = e22
| ~ spl0_105
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f776,f779]) ).
fof(f1707,plain,
( $false
| ~ spl0_105
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1706,f221]) ).
fof(f1708,plain,
( ~ spl0_105
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f1707]) ).
fof(f1710,plain,
( op2(e21,e20) != e21
| ~ spl0_89 ),
inference(paramodulation,[status(thm)],[f724,f195]) ).
fof(f1712,plain,
( op2(e20,e21) != e21
| ~ spl0_73 ),
inference(paramodulation,[status(thm)],[f672,f191]) ).
fof(f1718,plain,
( op2(e20,e20) != e21
| ~ spl0_97 ),
inference(paramodulation,[status(thm)],[f750,f165]) ).
fof(f1726,plain,
( e20 = e21
| ~ spl0_72
| ~ spl0_73 ),
inference(backward_demodulation,[status(thm)],[f669,f672]) ).
fof(f1727,plain,
( $false
| ~ spl0_72
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1726,f218]) ).
fof(f1728,plain,
( ~ spl0_72
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1727]) ).
fof(f1735,plain,
( e22 = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f256,f717]) ).
fof(f1736,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[status(thm)],[f1735,f223]) ).
fof(f1737,plain,
~ spl0_87,
inference(contradiction_clause,[status(thm)],[f1736]) ).
fof(f1740,plain,
( op2(e20,e20) != e23
| ~ spl0_83 ),
inference(paramodulation,[status(thm)],[f704,f164]) ).
fof(f1741,plain,
( e22 = e23
| ~ spl0_70
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f662,f665]) ).
fof(f1742,plain,
( $false
| ~ spl0_70
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1741,f223]) ).
fof(f1743,plain,
( ~ spl0_70
| ~ spl0_71 ),
inference(contradiction_clause,[status(thm)],[f1742]) ).
fof(f1744,plain,
( e22 = e23
| ~ spl0_82
| ~ spl0_83 ),
inference(backward_demodulation,[status(thm)],[f701,f704]) ).
fof(f1745,plain,
( $false
| ~ spl0_82
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f1744,f223]) ).
fof(f1746,plain,
( ~ spl0_82
| ~ spl0_83 ),
inference(contradiction_clause,[status(thm)],[f1745]) ).
fof(f1747,plain,
( e22 = e21
| ~ spl0_85 ),
inference(backward_demodulation,[status(thm)],[f711,f256]) ).
fof(f1748,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1747,f221]) ).
fof(f1749,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f1748]) ).
fof(f1750,plain,
( op2(e20,e20) != e21
| ~ spl0_69 ),
inference(paramodulation,[status(thm)],[f659,f188]) ).
fof(f1763,plain,
( e21 = e22
| ~ spl0_65
| ~ spl0_66 ),
inference(backward_demodulation,[status(thm)],[f646,f649]) ).
fof(f1764,plain,
( $false
| ~ spl0_65
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1763,f221]) ).
fof(f1765,plain,
( ~ spl0_65
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1764]) ).
fof(f1771,plain,
( op1(e13,e11) != e13
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f607,f162]) ).
fof(f1773,plain,
( op1(e12,e13) != e13
| ~ spl0_63 ),
inference(paramodulation,[status(thm)],[f607,f139]) ).
fof(f1792,plain,
( op1(e11,e10) != e13
| ~ spl0_31 ),
inference(paramodulation,[status(thm)],[f503,f148]) ).
fof(f1795,plain,
( h2(e13) != op2(h2(e10),h2(e13))
| ~ spl0_15
| spl0_164 ),
inference(backward_demodulation,[status(thm)],[f451,f1004]) ).
fof(f1796,plain,
( h3(e13) != op2(h3(e10),h3(e13))
| ~ spl0_15
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f451,f1077]) ).
fof(f1798,plain,
( op1(e10,e12) != e13
| ~ spl0_15 ),
inference(paramodulation,[status(thm)],[f451,f145]) ).
fof(f1805,plain,
( op1(e13,e11) != e13
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f594,f161]) ).
fof(f1807,plain,
( op1(e12,e12) != e13
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f594,f133]) ).
fof(f1809,plain,
( op1(e10,e12) != e13
| ~ spl0_59 ),
inference(paramodulation,[status(thm)],[f594,f130]) ).
fof(f1811,plain,
( h2(e13) != op2(h2(e13),h2(e11))
| ~ spl0_55
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f581,f1034]) ).
fof(f1824,plain,
( op1(e11,e10) != e13
| ~ spl0_51 ),
inference(paramodulation,[status(thm)],[f568,f120]) ).
fof(f1829,plain,
( e12 = e13
| ~ spl0_46
| ~ spl0_47 ),
inference(backward_demodulation,[status(thm)],[f552,f555]) ).
fof(f1830,plain,
( $false
| ~ spl0_46
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f1829,f217]) ).
fof(f1831,plain,
( ~ spl0_46
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1835,plain,
( e12 = e13
| ~ spl0_14
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f448,f451]) ).
fof(f1836,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f1835,f217]) ).
fof(f1837,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f1836]) ).
fof(f1840,plain,
( op1(e12,e10) != e12
| ~ spl0_46 ),
inference(paramodulation,[status(thm)],[f552,f154]) ).
fof(f1846,plain,
( e12 = e13
| ~ spl0_54
| ~ spl0_55 ),
inference(backward_demodulation,[status(thm)],[f578,f581]) ).
fof(f1847,plain,
( $false
| ~ spl0_54
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f1846,f217]) ).
fof(f1848,plain,
( ~ spl0_54
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f1847]) ).
fof(f1853,plain,
( op1(e13,e10) != e12
| ~ spl0_58 ),
inference(paramodulation,[status(thm)],[f591,f159]) ).
fof(f1858,plain,
( op1(e13,e11) != e11
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f601,f162]) ).
fof(f1859,plain,
( op1(e13,e10) != e11
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f601,f160]) ).
fof(f1861,plain,
( op1(e11,e13) != e11
| ~ spl0_61 ),
inference(paramodulation,[status(thm)],[f601,f138]) ).
fof(f1865,plain,
( op1(e12,e10) != e11
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f549,f154]) ).
fof(f1866,plain,
( op1(e11,e13) != e11
| ~ spl0_45 ),
inference(paramodulation,[status(thm)],[f549,f137]) ).
fof(f1868,plain,
( op1(e11,e12) != e11
| ~ spl0_29 ),
inference(paramodulation,[status(thm)],[f497,f151]) ).
fof(f1873,plain,
( op1(e10,e11) != e11
| ~ spl0_13 ),
inference(paramodulation,[status(thm)],[f445,f144]) ).
fof(f1877,plain,
( op1(e12,e12) != e11
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f588,f133]) ).
fof(f1878,plain,
( op1(e11,e12) != e11
| ~ spl0_57 ),
inference(paramodulation,[status(thm)],[f588,f132]) ).
fof(f1886,plain,
( op1(e10,e10) != e11
| ~ spl0_49 ),
inference(paramodulation,[status(thm)],[f562,f118]) ).
fof(f1898,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e20)
| ~ spl0_241
| spl0_147 ),
inference(backward_demodulation,[status(thm)],[f1255,f949]) ).
fof(f1899,plain,
( h2(e12) != op2(h2(e11),e21)
| ~ spl0_257
| spl0_166 ),
inference(backward_demodulation,[status(thm)],[f1319,f1514]) ).
fof(f1900,plain,
( h2(e12) != op2(e21,e21)
| ~ spl0_257
| spl0_166 ),
inference(forward_demodulation,[status(thm)],[f1319,f1899]) ).
fof(f1903,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| ~ spl0_257
| spl0_162 ),
inference(backward_demodulation,[status(thm)],[f1319,f998]) ).
fof(f1904,plain,
( h2(op1(e11,e10)) != op2(e21,h2(e10))
| ~ spl0_257
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f1319,f1007]) ).
fof(f1905,plain,
( h2(op1(e11,e12)) != op2(e21,h2(e12))
| ~ spl0_257
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f1319,f1013]) ).
fof(f1906,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| ~ spl0_257
| spl0_170 ),
inference(backward_demodulation,[status(thm)],[f1319,f1022]) ).
fof(f1909,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| ~ spl0_262
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f1339,f1001]) ).
fof(f1910,plain,
( h2(op1(e12,e10)) != op2(e22,h2(e10))
| ~ spl0_262
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f1339,f1019]) ).
fof(f1911,plain,
( h2(op1(e12,e12)) != op2(h2(e12),e22)
| ~ spl0_262
| spl0_171 ),
inference(backward_demodulation,[status(thm)],[f1339,f1025]) ).
fof(f1912,plain,
( h2(op1(e12,e12)) != op2(e22,e22)
| ~ spl0_262
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f1339,f1911]) ).
fof(f1915,plain,
( h3(e12) != op2(h3(e11),e22)
| ~ spl0_273
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f1383,f1515]) ).
fof(f1916,plain,
( h3(e12) != op2(e22,e22)
| ~ spl0_273
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1383,f1915]) ).
fof(f1918,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e22)
| ~ spl0_273
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f1383,f1071]) ).
fof(f1919,plain,
( h3(op1(e11,e10)) != op2(e22,h3(e10))
| ~ spl0_273
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f1383,f1080]) ).
fof(f1920,plain,
( h3(op1(e11,e12)) != op2(e22,h3(e12))
| ~ spl0_273
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f1383,f1086]) ).
fof(f1921,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e22)
| ~ spl0_273
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f1383,f1095]) ).
fof(f1924,plain,
( h4(e12) != op2(h4(e11),e23)
| ~ spl0_227
| spl0_212 ),
inference(backward_demodulation,[status(thm)],[f1201,f1516]) ).
fof(f1925,plain,
( h4(e12) != op2(e23,e23)
| ~ spl0_227
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f1201,f1924]) ).
fof(f1927,plain,
( h4(op1(e11,e10)) != op2(e23,h4(e10))
| ~ spl0_227
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f1201,f1153]) ).
fof(f1929,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e23)
| ~ spl0_227
| spl0_216 ),
inference(backward_demodulation,[status(thm)],[f1201,f1168]) ).
fof(f1938,plain,
( h2(e13) != op2(h2(e13),e21)
| ~ spl0_257
| ~ spl0_55
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1319,f1811]) ).
fof(f1951,plain,
( h2(op1(e11,e12)) != op2(e21,e22)
| ~ spl0_262
| ~ spl0_257
| spl0_167 ),
inference(forward_demodulation,[status(thm)],[f1339,f1905]) ).
fof(f1952,plain,
( h2(op1(e12,e11)) != op2(e22,e21)
| ~ spl0_262
| ~ spl0_257
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f1339,f1906]) ).
fof(f1956,plain,
( e10 = e11
| ~ spl0_28
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f494,f497]) ).
fof(f1957,plain,
( $false
| ~ spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f1956,f212]) ).
fof(f1958,plain,
( ~ spl0_28
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f1957]) ).
fof(f1963,plain,
( op1(e12,e11) != e10
| ~ spl0_44 ),
inference(paramodulation,[status(thm)],[f546,f156]) ).
fof(f1967,plain,
( h2(op1(e12,e13)) != op2(e22,h2(e13))
| ~ spl0_262
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1339,f1028]) ).
fof(f1968,plain,
( e10 = e11
| ~ spl0_56
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f585,f588]) ).
fof(f1969,plain,
( $false
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1968,f212]) ).
fof(f1970,plain,
( ~ spl0_56
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f1969]) ).
fof(f1974,plain,
( e10 = e11
| ~ spl0_48
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f559,f562]) ).
fof(f1975,plain,
( $false
| ~ spl0_48
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1974,f212]) ).
fof(f1976,plain,
( ~ spl0_48
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1975]) ).
fof(f1978,plain,
( op1(e13,e10) != e10
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f585,f159]) ).
fof(f1980,plain,
( op1(e11,e12) != e10
| ~ spl0_56 ),
inference(paramodulation,[status(thm)],[f585,f132]) ).
fof(f1982,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| ~ spl0_262
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f1339,f1037]) ).
fof(f1985,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| ~ spl0_43
| spl0_194 ),
inference(backward_demodulation,[status(thm)],[f542,f1098]) ).
fof(f1990,plain,
( op1(e10,e12) != e13
| ~ spl0_43 ),
inference(paramodulation,[status(thm)],[f542,f129]) ).
fof(f2018,plain,
( op1(e11,e10) != e13
| ~ spl0_35 ),
inference(paramodulation,[status(thm)],[f516,f119]) ).
fof(f2020,plain,
( e12 = e13
| ~ spl0_42
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f539,f542]) ).
fof(f2021,plain,
( $false
| ~ spl0_42
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f2020,f217]) ).
fof(f2022,plain,
( ~ spl0_42
| ~ spl0_43 ),
inference(contradiction_clause,[status(thm)],[f2021]) ).
fof(f2030,plain,
( op1(e12,e10) != e12
| ~ spl0_42 ),
inference(paramodulation,[status(thm)],[f539,f153]) ).
fof(f2041,plain,
( op1(e11,e12) != e11
| ~ spl0_41 ),
inference(paramodulation,[status(thm)],[f536,f131]) ).
fof(f2044,plain,
( op1(e11,e10) != e11
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f484,f147]) ).
fof(f2045,plain,
( op1(e10,e12) != e11
| ~ spl0_25 ),
inference(paramodulation,[status(thm)],[f484,f128]) ).
fof(f2047,plain,
( op1(e10,e10) != e11
| ~ spl0_9 ),
inference(paramodulation,[status(thm)],[f432,f141]) ).
fof(f2051,plain,
( op1(e11,e10) != e11
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f510,f119]) ).
fof(f2052,plain,
( op1(e10,e10) != e11
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f510,f117]) ).
fof(f2062,plain,
( op1(e12,e11) != e10
| ~ spl0_40 ),
inference(paramodulation,[status(thm)],[f533,f155]) ).
fof(f2072,plain,
( e12 = e13
| ~ spl0_23 ),
inference(forward_demodulation,[status(thm)],[f253,f477]) ).
fof(f2073,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f2072,f217]) ).
fof(f2074,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f2073]) ).
fof(f2081,plain,
( h4(e13) != op2(e23,h4(e10))
| ~ spl0_19
| ~ spl0_227
| spl0_211 ),
inference(backward_demodulation,[status(thm)],[f464,f1927]) ).
fof(f2082,plain,
( h3(e13) != op2(e22,h3(e10))
| ~ spl0_19
| ~ spl0_273
| spl0_188 ),
inference(backward_demodulation,[status(thm)],[f464,f1919]) ).
fof(f2085,plain,
( op1(e10,e10) != e13
| ~ spl0_19 ),
inference(paramodulation,[status(thm)],[f464,f116]) ).
fof(f2089,plain,
( e12 = e13
| ~ spl0_18
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f461,f464]) ).
fof(f2090,plain,
( $false
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f2089,f217]) ).
fof(f2091,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f2090]) ).
fof(f2092,plain,
( e12 = e11
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f471,f253]) ).
fof(f2093,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f2092,f215]) ).
fof(f2094,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f2093]) ).
fof(f2096,plain,
( op1(e10,e10) != e11
| ~ spl0_17 ),
inference(paramodulation,[status(thm)],[f458,f116]) ).
fof(f2113,plain,
( op1(e10,e10) != e12
| ~ spl0_34 ),
inference(paramodulation,[status(thm)],[f513,f117]) ).
fof(f2114,plain,
( op1(e10,e11) != e12
| ~ spl0_10 ),
inference(paramodulation,[status(thm)],[f435,f143]) ).
fof(f2116,plain,
( e10 = e11
| ~ spl0_0
| ~ spl0_1 ),
inference(backward_demodulation,[status(thm)],[f403,f406]) ).
fof(f2117,plain,
( $false
| ~ spl0_0
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f2116,f212]) ).
fof(f2118,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f2117]) ).
fof(f2122,plain,
( op1(e10,e10) != e10
| ~ spl0_8 ),
inference(paramodulation,[status(thm)],[f429,f141]) ).
fof(f2124,plain,
e10 != op1(e12,e12),
inference(backward_demodulation,[status(thm)],[f1512,f155]) ).
fof(f2127,plain,
op1(e11,e11) != e10,
inference(paramodulation,[status(thm)],[f1512,f125]) ).
fof(f2128,plain,
( e10 != e10
| ~ spl0_20 ),
inference(forward_demodulation,[status(thm)],[f468,f2127]) ).
fof(f2129,plain,
( $false
| ~ spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f2128]) ).
fof(f2130,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f2129]) ).
fof(f2133,plain,
( op1(e11,e10) != e10
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f481,f147]) ).
fof(f2134,plain,
( op1(e10,e12) != e10
| ~ spl0_24 ),
inference(paramodulation,[status(thm)],[f481,f128]) ).
fof(f2135,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f2134,f428,f480]) ).
fof(f2136,plain,
( op1(e12,e10) != e10
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f520,f152]) ).
fof(f2137,plain,
( ~ spl0_32
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2136,f506,f519]) ).
fof(f2139,plain,
( op1(e10,e11) != e10
| ~ spl0_36 ),
inference(paramodulation,[status(thm)],[f520,f123]) ).
fof(f2143,plain,
( e10 = e11
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f1512,f523]) ).
fof(f2144,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f212]) ).
fof(f2145,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f2144]) ).
fof(f2147,plain,
( op1(e12,e11) != e10
| ~ spl0_52 ),
inference(paramodulation,[status(thm)],[f572,f127]) ).
fof(f2148,plain,
( e10 != e10
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f1512,f2147]) ).
fof(f2149,plain,
( $false
| ~ spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f2148]) ).
fof(f2150,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2152,plain,
( ~ spl0_25
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f2041,f483,f535]) ).
fof(f2157,plain,
( op1(e10,e10) != e10
| ~ spl0_12 ),
inference(paramodulation,[status(thm)],[f442,f142]) ).
fof(f2158,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f2157,f402,f441]) ).
fof(f2161,plain,
( ~ spl0_25
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f1868,f483,f496]) ).
fof(f2164,plain,
( ~ spl0_29
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1866,f496,f548]) ).
fof(f2172,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e22)
| ~ spl0_273
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1383,f1107]) ).
fof(f2176,plain,
( op1(e10,e10) != e10
| ~ spl0_48 ),
inference(paramodulation,[status(thm)],[f559,f118]) ).
fof(f2179,plain,
( op1(e11,e10) != e10
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f494,f148]) ).
fof(f2182,plain,
( ~ spl0_5
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f1873,f418,f444]) ).
fof(f2183,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(split_clause,[status(thm)],[f2062,f519,f532]) ).
fof(f2186,plain,
( ~ spl0_11
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1809,f437,f593]) ).
fof(f2187,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2051,f457,f509]) ).
fof(f2188,plain,
( ~ spl0_48
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1978,f558,f584]) ).
fof(f2189,plain,
( e10 = e12
| ~ spl0_38 ),
inference(forward_demodulation,[status(thm)],[f1512,f526]) ).
fof(f2190,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f2189,f213]) ).
fof(f2191,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f2190]) ).
fof(f2192,plain,
( h4(e10) != op2(h4(e12),e23)
| ~ spl0_227
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f1512,f1929]) ).
fof(f2193,plain,
( h3(e10) != op2(h3(e12),e22)
| ~ spl0_273
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1512,f1921]) ).
fof(f2194,plain,
( h2(e10) != op2(e22,e21)
| ~ spl0_262
| ~ spl0_257
| spl0_170 ),
inference(forward_demodulation,[status(thm)],[f1512,f1952]) ).
fof(f2195,plain,
( h1(e10) != op2(h1(e12),e20)
| ~ spl0_241
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1512,f1898]) ).
fof(f2196,plain,
e13 = op1(e11,e10),
inference(forward_demodulation,[status(thm)],[f1512,f1627]) ).
fof(f2197,plain,
( e10 != e10
| ~ spl0_44 ),
inference(forward_demodulation,[status(thm)],[f1512,f1963]) ).
fof(f2198,plain,
( $false
| ~ spl0_44 ),
inference(trivial_equality_resolution,[status(esa)],[f2197]) ).
fof(f2199,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f2198]) ).
fof(f2203,plain,
( e10 != e10
| spl0_36 ),
inference(forward_demodulation,[status(thm)],[f1512,f521]) ).
fof(f2204,plain,
( $false
| spl0_36 ),
inference(trivial_equality_resolution,[status(esa)],[f2203]) ).
fof(f2205,plain,
spl0_36,
inference(contradiction_clause,[status(thm)],[f2204]) ).
fof(f2206,plain,
( ~ spl0_3
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f2085,f411,f463]) ).
fof(f2208,plain,
( op1(e12,e10) != e12
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f565,f121]) ).
fof(f2209,plain,
( ~ spl0_34
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2208,f512,f564]) ).
fof(f2218,plain,
( ~ spl0_34
| ~ spl0_42 ),
inference(split_clause,[status(thm)],[f2030,f512,f538]) ).
fof(f2221,plain,
( ~ spl0_53
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1858,f574,f600]) ).
fof(f2223,plain,
( ~ spl0_4
| ~ spl0_36 ),
inference(split_clause,[status(thm)],[f2139,f415,f519]) ).
fof(f2225,plain,
( ~ spl0_1
| ~ spl0_33 ),
inference(split_clause,[status(thm)],[f2052,f405,f509]) ).
fof(f2227,plain,
( ~ spl0_41
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1877,f535,f587]) ).
fof(f2230,plain,
( op1(e11,e11) != e12
| ~ spl0_26 ),
inference(paramodulation,[status(thm)],[f487,f149]) ).
fof(f2234,plain,
( ~ spl0_1
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f2047,f405,f431]) ).
fof(f2237,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f2096,f405,f457]) ).
fof(f2241,plain,
( ~ spl0_11
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f1798,f437,f450]) ).
fof(f2243,plain,
( op1(e11,e11) != e12
| ~ spl0_30 ),
inference(paramodulation,[status(thm)],[f500,f150]) ).
fof(f2247,plain,
( h2(op1(e11,e13)) != op2(e21,h2(e13))
| ~ spl0_257
| spl0_168 ),
inference(forward_demodulation,[status(thm)],[f1319,f1016]) ).
fof(f2248,plain,
( h3(op1(e11,e13)) != op2(e22,h3(e13))
| ~ spl0_273
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1383,f1089]) ).
fof(f2251,plain,
( op1(e13,e12) != e12
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f604,f163]) ).
fof(f2254,plain,
( op1(e12,e13) != e12
| ~ spl0_62 ),
inference(paramodulation,[status(thm)],[f604,f139]) ).
fof(f2255,plain,
( ~ spl0_46
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f2254,f551,f603]) ).
fof(f2258,plain,
( ~ spl0_34
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f1840,f512,f551]) ).
fof(f2259,plain,
( ~ spl0_55
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1805,f580,f593]) ).
fof(f2261,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f1807,f541,f593]) ).
fof(f2263,plain,
( ~ spl0_2
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f2113,f408,f512]) ).
fof(f2268,plain,
( ~ spl0_33
| ~ spl0_45 ),
inference(split_clause,[status(thm)],[f1865,f509,f548]) ).
fof(f2271,plain,
e20 != op2(e22,e22),
inference(backward_demodulation,[status(thm)],[f1519,f203]) ).
fof(f2272,plain,
( e20 != e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f773,f2271]) ).
fof(f2273,plain,
( $false
| ~ spl0_104 ),
inference(trivial_equality_resolution,[status(esa)],[f2272]) ).
fof(f2274,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f2273]) ).
fof(f2277,plain,
op2(e21,e21) != e20,
inference(paramodulation,[status(thm)],[f1519,f173]) ).
fof(f2278,plain,
( e20 != e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f708,f2277]) ).
fof(f2279,plain,
( $false
| ~ spl0_84 ),
inference(trivial_equality_resolution,[status(esa)],[f2278]) ).
fof(f2280,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f2279]) ).
fof(f2288,plain,
( op2(e20,e22) != e20
| ~ spl0_88 ),
inference(paramodulation,[status(thm)],[f721,f176]) ).
fof(f2298,plain,
( op2(e22,e21) != e20
| ~ spl0_116 ),
inference(paramodulation,[status(thm)],[f812,f175]) ).
fof(f2299,plain,
( ~ spl0_100
| ~ spl0_116 ),
inference(split_clause,[status(thm)],[f2298,f759,f811]) ).
fof(f2302,plain,
( op2(e21,e22) != e20
| ~ spl0_92 ),
inference(paramodulation,[status(thm)],[f734,f199]) ).
fof(f2303,plain,
( ~ spl0_88
| ~ spl0_92 ),
inference(split_clause,[status(thm)],[f2302,f720,f733]) ).
fof(f2313,plain,
( e20 = e21
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f1519,f763]) ).
fof(f2314,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f2313,f218]) ).
fof(f2315,plain,
~ spl0_101,
inference(contradiction_clause,[status(thm)],[f2314]) ).
fof(f2317,plain,
( op2(e20,e20) != e22
| ~ spl0_98 ),
inference(paramodulation,[status(thm)],[f753,f165]) ).
fof(f2318,plain,
( ~ spl0_66
| ~ spl0_98 ),
inference(split_clause,[status(thm)],[f2317,f648,f752]) ).
fof(f2320,plain,
( e20 = e23
| ~ spl0_103 ),
inference(forward_demodulation,[status(thm)],[f1519,f769]) ).
fof(f2321,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f2320,f220]) ).
fof(f2322,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f2321]) ).
fof(f2323,plain,
( ~ spl0_65
| ~ spl0_69 ),
inference(split_clause,[status(thm)],[f1750,f645,f658]) ).
fof(f2327,plain,
( op2(e22,e20) != e21
| ~ spl0_105 ),
inference(paramodulation,[status(thm)],[f776,f201]) ).
fof(f2328,plain,
( ~ spl0_97
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f2327,f749,f775]) ).
fof(f2329,plain,
( op2(e21,e22) != e21
| ~ spl0_105 ),
inference(paramodulation,[status(thm)],[f776,f179]) ).
fof(f2333,plain,
( op2(e20,e20) != e20
| ~ spl0_112 ),
inference(paramodulation,[status(thm)],[f799,f166]) ).
fof(f2334,plain,
( ~ spl0_64
| ~ spl0_112 ),
inference(split_clause,[status(thm)],[f2333,f642,f798]) ).
fof(f2337,plain,
( op2(e20,e20) != e20
| ~ spl0_76 ),
inference(paramodulation,[status(thm)],[f682,f190]) ).
fof(f2338,plain,
( ~ spl0_64
| ~ spl0_76 ),
inference(split_clause,[status(thm)],[f2337,f642,f681]) ).
fof(f2339,plain,
( ~ spl0_110
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1588,f791,f843]) ).
fof(f2341,plain,
( ~ spl0_69
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f1646,f658,f814]) ).
fof(f2342,plain,
( ~ spl0_81
| ~ spl0_93 ),
inference(split_clause,[status(thm)],[f1633,f697,f736]) ).
fof(f2343,plain,
( ~ spl0_117
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f1638,f814,f827]) ).
fof(f2345,plain,
( ~ spl0_105
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f1622,f775,f788]) ).
fof(f2346,plain,
( ~ spl0_97
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f1624,f749,f788]) ).
fof(f2347,plain,
( ~ spl0_93
| ~ spl0_109 ),
inference(split_clause,[status(thm)],[f1625,f736,f788]) ).
fof(f2349,plain,
( ~ spl0_65
| ~ spl0_97 ),
inference(split_clause,[status(thm)],[f1718,f645,f749]) ).
fof(f2352,plain,
( op2(e20,e20) != e22
| ~ spl0_74 ),
inference(paramodulation,[status(thm)],[f675,f189]) ).
fof(f2360,plain,
( op2(e21,e21) != e22
| ~ spl0_118 ),
inference(paramodulation,[status(thm)],[f818,f174]) ).
fof(f2362,plain,
( ~ spl0_67
| ~ spl0_83 ),
inference(split_clause,[status(thm)],[f1740,f651,f703]) ).
fof(f2365,plain,
( ~ spl0_74
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1691,f674,f778]) ).
fof(f2367,plain,
( op2(e23,e20) != e20
| ~ spl0_120 ),
inference(paramodulation,[status(thm)],[f825,f207]) ).
fof(f2370,plain,
( op2(e20,e22) != e20
| ~ spl0_120 ),
inference(paramodulation,[status(thm)],[f825,f178]) ).
fof(f2371,plain,
( ~ spl0_72
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f2370,f668,f824]) ).
fof(f2372,plain,
( ~ spl0_97
| ~ spl0_113 ),
inference(split_clause,[status(thm)],[f1647,f749,f801]) ).
fof(f2374,plain,
( op2(e22,e21) != e20
| ~ spl0_108 ),
inference(paramodulation,[status(thm)],[f786,f204]) ).
fof(f2375,plain,
( ~ spl0_100
| ~ spl0_108 ),
inference(split_clause,[status(thm)],[f2374,f759,f785]) ).
fof(f2383,plain,
( op2(e20,e22) != e23
| ~ spl0_107 ),
inference(paramodulation,[status(thm)],[f782,f177]) ).
fof(f2384,plain,
( op2(e22,e20) != e22
| ~ spl0_114 ),
inference(paramodulation,[status(thm)],[f805,f169]) ).
fof(f2386,plain,
( op2(e20,e20) != e22
| ~ spl0_114 ),
inference(paramodulation,[status(thm)],[f805,f166]) ).
fof(f2388,plain,
( op2(e23,e21) != e23
| ~ spl0_127 ),
inference(paramodulation,[status(thm)],[f847,f210]) ).
fof(f2390,plain,
( op2(e22,e23) != e23
| ~ spl0_127 ),
inference(paramodulation,[status(thm)],[f847,f187]) ).
fof(f2391,plain,
( ~ spl0_111
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2390,f794,f846]) ).
fof(f2397,plain,
( op2(e21,e21) != e22
| ~ spl0_94 ),
inference(paramodulation,[status(thm)],[f740,f198]) ).
fof(f2400,plain,
( ~ spl0_107
| ~ spl0_111 ),
inference(split_clause,[status(thm)],[f1559,f781,f794]) ).
fof(f2401,plain,
( op2(e21,e21) != e22
| ~ spl0_90 ),
inference(paramodulation,[status(thm)],[f727,f197]) ).
fof(f2405,plain,
( ~ spl0_120
| ~ spl0_124 ),
inference(split_clause,[status(thm)],[f1650,f824,f837]) ).
fof(f2408,plain,
( op2(e23,e21) != e21
| ~ spl0_125 ),
inference(paramodulation,[status(thm)],[f841,f210]) ).
fof(f2409,plain,
( op2(e23,e20) != e21
| ~ spl0_125 ),
inference(paramodulation,[status(thm)],[f841,f208]) ).
fof(f2411,plain,
( op2(e21,e23) != e21
| ~ spl0_125 ),
inference(paramodulation,[status(thm)],[f841,f186]) ).
fof(f2418,plain,
( ~ spl0_72
| ~ spl0_88 ),
inference(split_clause,[status(thm)],[f2288,f668,f720]) ).
fof(f2423,plain,
( op2(e20,e20) != e22
| ~ spl0_78 ),
inference(paramodulation,[status(thm)],[f688,f190]) ).
fof(f2424,plain,
( ~ spl0_69
| ~ spl0_73 ),
inference(split_clause,[status(thm)],[f1712,f658,f671]) ).
fof(f2425,plain,
( ~ spl0_98
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f2384,f752,f804]) ).
fof(f2426,plain,
( ~ spl0_81
| ~ spl0_89 ),
inference(split_clause,[status(thm)],[f1710,f697,f723]) ).
fof(f2427,plain,
( op2(e20,op2(e22,e21)) = e22
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f1519,f1473]) ).
fof(f2428,plain,
( op2(e20,e20) = e22
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f1519,f2427]) ).
fof(f2429,plain,
( op1(e10,op1(e12,e11)) = e12
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f1512,f1454]) ).
fof(f2430,plain,
( op1(e10,e10) = e12
| ~ spl0_291 ),
inference(forward_demodulation,[status(thm)],[f1512,f2429]) ).
fof(f2431,plain,
( op1(op1(e10,e10),e12) = e10
| ~ spl0_291
| ~ spl0_298 ),
inference(backward_demodulation,[status(thm)],[f2430,f1481]) ).
fof(f2432,plain,
( op1(e12,e12) = e10
| ~ spl0_291
| ~ spl0_298 ),
inference(forward_demodulation,[status(thm)],[f2430,f2431]) ).
fof(f2433,plain,
h3(e13) = op2(e22,h3(e10)),
inference(backward_demodulation,[status(thm)],[f1539,f1545]) ).
fof(f2434,plain,
h4(e13) = op2(e23,h4(e10)),
inference(backward_demodulation,[status(thm)],[f1548,f1555]) ).
fof(f2441,plain,
( $false
| spl0_183 ),
inference(forward_subsumption_resolution,[status(thm)],[f1630,f1064]) ).
fof(f2442,plain,
spl0_183,
inference(contradiction_clause,[status(thm)],[f2441]) ).
fof(f2443,plain,
( op2(op2(e22,e22),h3(e12)) = e22
| ~ spl0_238 ),
inference(backward_demodulation,[status(thm)],[f268,f1243]) ).
fof(f2444,plain,
( op2(h3(e12),h3(e12)) = e22
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f268,f2443]) ).
fof(f2448,plain,
h2(e10) = e20,
inference(forward_demodulation,[status(thm)],[f1519,f1528]) ).
fof(f2449,plain,
( $false
| spl0_252 ),
inference(forward_subsumption_resolution,[status(thm)],[f2448,f1300]) ).
fof(f2450,plain,
spl0_252,
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2456,plain,
( op2(op2(e21,e21),e22) = e21
| ~ spl0_295 ),
inference(backward_demodulation,[status(thm)],[f256,f1469]) ).
fof(f2457,plain,
( op2(e22,e22) = e21
| ~ spl0_295 ),
inference(forward_demodulation,[status(thm)],[f256,f2456]) ).
fof(f2460,plain,
( h1(e12) = e22
| ~ spl0_296 ),
inference(forward_demodulation,[status(thm)],[f2428,f260]) ).
fof(f2461,plain,
( $false
| spl0_250
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[status(thm)],[f2460,f1292]) ).
fof(f2462,plain,
( spl0_250
| ~ spl0_296 ),
inference(contradiction_clause,[status(thm)],[f2461]) ).
fof(f2463,plain,
( e23 != e23
| ~ spl0_71
| ~ spl0_75 ),
inference(forward_demodulation,[status(thm)],[f665,f1681]) ).
fof(f2464,plain,
( $false
| ~ spl0_71
| ~ spl0_75 ),
inference(trivial_equality_resolution,[status(esa)],[f2463]) ).
fof(f2465,plain,
( ~ spl0_71
| ~ spl0_75 ),
inference(contradiction_clause,[status(thm)],[f2464]) ).
fof(f2469,plain,
( ~ spl0_19
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f2018,f463,f515]) ).
fof(f2473,plain,
( op1(e13,e10) != e10
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f598,f160]) ).
fof(f2475,plain,
( op1(e11,e13) != e10
| ~ spl0_60 ),
inference(paramodulation,[status(thm)],[f598,f138]) ).
fof(f2476,plain,
( ~ spl0_28
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2475,f493,f597]) ).
fof(f2481,plain,
( ~ spl0_24
| ~ spl0_56 ),
inference(split_clause,[status(thm)],[f1980,f480,f584]) ).
fof(f2482,plain,
( ~ spl0_16
| ~ spl0_24 ),
inference(split_clause,[status(thm)],[f2133,f454,f480]) ).
fof(f2483,plain,
( ~ spl0_49
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1859,f561,f600]) ).
fof(f2484,plain,
( ~ spl0_29
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f1861,f496,f600]) ).
fof(f2486,plain,
( ~ spl0_19
| ~ spl0_51 ),
inference(split_clause,[status(thm)],[f1824,f463,f567]) ).
fof(f2489,plain,
( ~ spl0_47
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1773,f554,f606]) ).
fof(f2490,plain,
( ~ spl0_0
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2122,f402,f428]) ).
fof(f2491,plain,
( ~ spl0_0
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f2176,f402,f558]) ).
fof(f2500,plain,
( ~ spl0_25
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f1878,f483,f587]) ).
fof(f2501,plain,
( ~ spl0_11
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1990,f437,f541]) ).
fof(f2505,plain,
( op1(e10,op1(e12,e11)) != e12
| spl0_291 ),
inference(forward_demodulation,[status(thm)],[f1512,f1455]) ).
fof(f2506,plain,
( op1(e10,e10) != e12
| spl0_291 ),
inference(forward_demodulation,[status(thm)],[f1512,f2505]) ).
fof(f2510,plain,
( spl0_40
| ~ spl0_291
| ~ spl0_298 ),
inference(split_clause,[status(thm)],[f2432,f532,f1453,f1480]) ).
fof(f2515,plain,
( e10 = e13
| ~ spl0_39 ),
inference(forward_demodulation,[status(thm)],[f1512,f529]) ).
fof(f2516,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f2515,f214]) ).
fof(f2517,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f2516]) ).
fof(f2518,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(split_clause,[status(thm)],[f2473,f558,f597]) ).
fof(f2522,plain,
( h2(e10) != e20
| ~ spl0_262
| ~ spl0_257
| spl0_170 ),
inference(paramodulation,[status(thm)],[f1519,f2194]) ).
fof(f2523,plain,
( ~ spl0_252
| ~ spl0_262
| ~ spl0_257
| spl0_170 ),
inference(split_clause,[status(thm)],[f2522,f1298,f1338,f1318,f1020]) ).
fof(f2528,plain,
( h4(e10) != h4(e10)
| ~ spl0_227
| spl0_216 ),
inference(forward_demodulation,[status(thm)],[f1548,f2192]) ).
fof(f2529,plain,
( $false
| ~ spl0_227
| spl0_216 ),
inference(trivial_equality_resolution,[status(esa)],[f2528]) ).
fof(f2530,plain,
( ~ spl0_227
| spl0_216 ),
inference(contradiction_clause,[status(thm)],[f2529]) ).
fof(f2533,plain,
( h3(e10) != h3(e10)
| ~ spl0_273
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1539,f2193]) ).
fof(f2534,plain,
( $false
| ~ spl0_273
| spl0_193 ),
inference(trivial_equality_resolution,[status(esa)],[f2533]) ).
fof(f2535,plain,
( ~ spl0_273
| spl0_193 ),
inference(contradiction_clause,[status(thm)],[f2534]) ).
fof(f2538,plain,
( h1(e10) != h1(e10)
| ~ spl0_241
| spl0_147 ),
inference(forward_demodulation,[status(thm)],[f1524,f2195]) ).
fof(f2539,plain,
( $false
| ~ spl0_241
| spl0_147 ),
inference(trivial_equality_resolution,[status(esa)],[f2538]) ).
fof(f2540,plain,
( ~ spl0_241
| spl0_147 ),
inference(contradiction_clause,[status(thm)],[f2539]) ).
fof(f2543,plain,
( h3(e12) != h3(e12)
| ~ spl0_273
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f268,f1916]) ).
fof(f2544,plain,
( $false
| ~ spl0_273
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f2543]) ).
fof(f2545,plain,
( ~ spl0_273
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f2544]) ).
fof(f2549,plain,
( h2(e12) != e22
| ~ spl0_257
| spl0_166 ),
inference(paramodulation,[status(thm)],[f256,f1900]) ).
fof(f2550,plain,
( ~ spl0_262
| ~ spl0_257
| spl0_166 ),
inference(split_clause,[status(thm)],[f2549,f1338,f1318,f1008]) ).
fof(f2554,plain,
( h4(e12) != h4(e12)
| ~ spl0_227
| spl0_212 ),
inference(forward_demodulation,[status(thm)],[f272,f1925]) ).
fof(f2555,plain,
( $false
| ~ spl0_227
| spl0_212 ),
inference(trivial_equality_resolution,[status(esa)],[f2554]) ).
fof(f2556,plain,
( ~ spl0_227
| spl0_212 ),
inference(contradiction_clause,[status(thm)],[f2555]) ).
fof(f2568,plain,
( e23 = op2(e22,e22)
| ~ spl0_205 ),
inference(backward_demodulation,[status(thm)],[f1132,f268]) ).
fof(f2574,plain,
( h2(op1(e13,e13)) != op2(h2(e13),e23)
| ~ spl0_183
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f1063,f1040]) ).
fof(f2575,plain,
( h2(op1(e13,e13)) != op2(e23,e23)
| ~ spl0_183
| spl0_176 ),
inference(forward_demodulation,[status(thm)],[f1063,f2574]) ).
fof(f2576,plain,
( h2(op1(e11,e13)) != op2(e21,e23)
| ~ spl0_183
| ~ spl0_257
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f1063,f2247]) ).
fof(f2578,plain,
( h2(op1(e13,e10)) != op2(e23,h2(e10))
| ~ spl0_183
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f1063,f1031]) ).
fof(f2580,plain,
( h2(op1(e13,e12)) != op2(e23,e22)
| ~ spl0_183
| ~ spl0_262
| spl0_175 ),
inference(backward_demodulation,[status(thm)],[f1063,f1982]) ).
fof(f2581,plain,
( h2(op1(e12,e13)) != op2(e22,e23)
| ~ spl0_183
| ~ spl0_262
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f1063,f1967]) ).
fof(f2585,plain,
( h2(op1(e11,e10)) != op2(e21,e20)
| ~ spl0_252
| ~ spl0_257
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f1299,f1904]) ).
fof(f2586,plain,
( h2(op1(e10,e10)) != op2(h2(e10),e20)
| ~ spl0_252
| spl0_161 ),
inference(backward_demodulation,[status(thm)],[f1299,f995]) ).
fof(f2587,plain,
( h2(op1(e10,e10)) != op2(e20,e20)
| ~ spl0_252
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f1299,f2586]) ).
fof(f2593,plain,
( h2(op1(e10,e12)) != op2(e20,e22)
| ~ spl0_252
| ~ spl0_262
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f1299,f1909]) ).
fof(f2594,plain,
( h2(op1(e12,e10)) != op2(e22,e20)
| ~ spl0_252
| ~ spl0_262
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f1299,f1910]) ).
fof(f2595,plain,
( e23 = op2(e21,e20)
| ~ spl0_252 ),
inference(backward_demodulation,[status(thm)],[f1299,f1629]) ).
fof(f2596,plain,
( spl0_83
| ~ spl0_252 ),
inference(split_clause,[status(thm)],[f2595,f703,f1298]) ).
fof(f2609,plain,
( ~ spl0_92
| ~ spl0_124 ),
inference(split_clause,[status(thm)],[f1654,f733,f837]) ).
fof(f2613,plain,
( ~ spl0_83
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f1583,f703,f807]) ).
fof(f2614,plain,
( ~ spl0_75
| ~ spl0_107 ),
inference(split_clause,[status(thm)],[f2383,f677,f781]) ).
fof(f2616,plain,
( e22 != e22
| ~ spl0_94 ),
inference(forward_demodulation,[status(thm)],[f256,f2397]) ).
fof(f2617,plain,
( $false
| ~ spl0_94 ),
inference(trivial_equality_resolution,[status(esa)],[f2616]) ).
fof(f2618,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f2617]) ).
fof(f2619,plain,
( ~ spl0_83
| ~ spl0_99 ),
inference(split_clause,[status(thm)],[f1686,f703,f755]) ).
fof(f2620,plain,
( ~ spl0_66
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f2352,f648,f674]) ).
fof(f2621,plain,
( ~ spl0_83
| ~ spl0_91 ),
inference(split_clause,[status(thm)],[f1679,f703,f729]) ).
fof(f2622,plain,
( ~ spl0_83
| ~ spl0_95 ),
inference(split_clause,[status(thm)],[f1567,f703,f742]) ).
fof(f2625,plain,
( ~ spl0_66
| ~ spl0_78 ),
inference(split_clause,[status(thm)],[f2423,f648,f687]) ).
fof(f2626,plain,
( ~ spl0_119
| ~ spl0_127 ),
inference(split_clause,[status(thm)],[f2388,f820,f846]) ).
fof(f2636,plain,
( op1(op1(e11,e10),e13) = e11
| ~ spl0_299 ),
inference(backward_demodulation,[status(thm)],[f2196,f1485]) ).
fof(f2637,plain,
( op1(e13,e13) = e11
| ~ spl0_299 ),
inference(forward_demodulation,[status(thm)],[f2196,f2636]) ).
fof(f2637_001,plain,
( op1(e13,e13) = e11
| ~ spl0_299 ),
inference(forward_demodulation,[status(thm)],[f2196,f2636]) ).
fof(f2639,plain,
( e11 = e13
| ~ spl0_5
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f419,f425]) ).
fof(f2640,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f2639,f216]) ).
fof(f2641,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2640]) ).
fof(f2654,plain,
( op2(e20,e21) != e23
| ~ spl0_119 ),
inference(paramodulation,[status(thm)],[f821,f172]) ).
fof(f2655,plain,
( ~ spl0_71
| ~ spl0_119 ),
inference(split_clause,[status(thm)],[f2654,f664,f820]) ).
fof(f2656,plain,
( op2(op2(e23,e22),e22) = e23
| ~ spl0_122
| ~ spl0_239 ),
inference(backward_demodulation,[status(thm)],[f831,f1247]) ).
fof(f2657,plain,
( op2(e22,e22) = e23
| ~ spl0_122
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f831,f2656]) ).
fof(f2665,plain,
( op1(op1(e10,e13),e12) = e10
| ~ spl0_14
| ~ spl0_129 ),
inference(backward_demodulation,[status(thm)],[f448,f886]) ).
fof(f2666,plain,
( op1(e12,e12) = e10
| ~ spl0_14
| ~ spl0_129 ),
inference(forward_demodulation,[status(thm)],[f448,f2665]) ).
fof(f2683,plain,
( op1(e11,e10) != e13
| ~ spl0_27 ),
inference(paramodulation,[status(thm)],[f490,f147]) ).
fof(f2684,plain,
( e13 != e13
| ~ spl0_27 ),
inference(forward_demodulation,[status(thm)],[f2196,f2683]) ).
fof(f2685,plain,
( $false
| ~ spl0_27 ),
inference(trivial_equality_resolution,[status(esa)],[f2684]) ).
fof(f2686,plain,
~ spl0_27,
inference(contradiction_clause,[status(thm)],[f2685]) ).
fof(f2687,plain,
( h4(e13) != h4(e13)
| ~ spl0_19
| ~ spl0_227
| spl0_211 ),
inference(forward_demodulation,[status(thm)],[f2434,f2081]) ).
fof(f2688,plain,
( $false
| ~ spl0_19
| ~ spl0_227
| spl0_211 ),
inference(trivial_equality_resolution,[status(esa)],[f2687]) ).
fof(f2689,plain,
( ~ spl0_19
| ~ spl0_227
| spl0_211 ),
inference(contradiction_clause,[status(thm)],[f2688]) ).
fof(f2694,plain,
( ~ spl0_17
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2044,f457,f483]) ).
fof(f2695,plain,
( e13 != e13
| spl0_19 ),
inference(forward_demodulation,[status(thm)],[f2196,f465]) ).
fof(f2696,plain,
( $false
| spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f2695]) ).
fof(f2697,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f2696]) ).
fof(f2698,plain,
( h3(e13) != h3(e13)
| ~ spl0_19
| ~ spl0_273
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f2433,f2082]) ).
fof(f2699,plain,
( $false
| ~ spl0_19
| ~ spl0_273
| spl0_188 ),
inference(trivial_equality_resolution,[status(esa)],[f2698]) ).
fof(f2700,plain,
( ~ spl0_19
| ~ spl0_273
| spl0_188 ),
inference(contradiction_clause,[status(thm)],[f2699]) ).
fof(f2709,plain,
( h2(op1(e13,e10)) != op2(e23,e20)
| ~ spl0_252
| ~ spl0_183
| spl0_173 ),
inference(forward_demodulation,[status(thm)],[f1299,f2578]) ).
fof(f2710,plain,
( h2(e13) != op2(e21,e20)
| ~ spl0_252
| ~ spl0_257
| spl0_165 ),
inference(forward_demodulation,[status(thm)],[f2196,f2585]) ).
fof(f2711,plain,
( h2(e13) != e23
| ~ spl0_83
| ~ spl0_252
| ~ spl0_257
| spl0_165 ),
inference(backward_demodulation,[status(thm)],[f704,f2710]) ).
fof(f2712,plain,
( ~ spl0_183
| ~ spl0_83
| ~ spl0_252
| ~ spl0_257
| spl0_165 ),
inference(split_clause,[status(thm)],[f2711,f1062,f703,f1298,f1318,f1005]) ).
fof(f2713,plain,
( op2(op2(e21,e20),e23) = e21
| ~ spl0_83
| ~ spl0_303 ),
inference(backward_demodulation,[status(thm)],[f704,f1501]) ).
fof(f2714,plain,
( op2(e23,e23) = e21
| ~ spl0_83
| ~ spl0_303 ),
inference(forward_demodulation,[status(thm)],[f704,f2713]) ).
fof(f2723,plain,
( h3(e10) = op2(e23,e22)
| ~ spl0_205 ),
inference(backward_demodulation,[status(thm)],[f1132,f1539]) ).
fof(f2724,plain,
( h3(e10) = e22
| ~ spl0_122
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f831,f2723]) ).
fof(f2725,plain,
( $false
| spl0_272
| ~ spl0_122
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[status(thm)],[f2724,f1380]) ).
fof(f2726,plain,
( spl0_272
| ~ spl0_122
| ~ spl0_205 ),
inference(contradiction_clause,[status(thm)],[f2725]) ).
fof(f2730,plain,
( h3(op1(e12,e10)) != op2(e23,h3(e10))
| ~ spl0_205
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f1132,f1092]) ).
fof(f2733,plain,
( op2(h3(e12),e23) = e22
| ~ spl0_205
| ~ spl0_238 ),
inference(backward_demodulation,[status(thm)],[f1132,f2444]) ).
fof(f2734,plain,
( op2(e23,e23) = e22
| ~ spl0_205
| ~ spl0_238 ),
inference(forward_demodulation,[status(thm)],[f1132,f2733]) ).
fof(f2740,plain,
( ~ spl0_119
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f1572,f820,f833]) ).
fof(f2741,plain,
( ~ spl0_107
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f1574,f781,f833]) ).
fof(f2742,plain,
( ~ spl0_114
| ~ spl0_122 ),
inference(split_clause,[status(thm)],[f1613,f804,f830]) ).
fof(f2743,plain,
( ~ spl0_74
| ~ spl0_122 ),
inference(split_clause,[status(thm)],[f1616,f674,f830]) ).
fof(f2746,plain,
( e22 != e22
| ~ spl0_90 ),
inference(forward_demodulation,[status(thm)],[f256,f2401]) ).
fof(f2747,plain,
( $false
| ~ spl0_90 ),
inference(trivial_equality_resolution,[status(esa)],[f2746]) ).
fof(f2748,plain,
~ spl0_90,
inference(contradiction_clause,[status(thm)],[f2747]) ).
fof(f2768,plain,
( h2(e11) != op2(e23,e23)
| ~ spl0_299
| ~ spl0_183
| spl0_176 ),
inference(backward_demodulation,[status(thm)],[f2637,f2575]) ).
fof(f2772,plain,
( op1(op1(e13,e13),e11) = e13
| ~ spl0_299
| ~ spl0_132 ),
inference(backward_demodulation,[status(thm)],[f2637,f898]) ).
fof(f2773,plain,
( op1(e11,e11) = e13
| ~ spl0_299
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f2637,f2772]) ).
fof(f2774,plain,
( e12 = e13
| ~ spl0_299
| ~ spl0_132 ),
inference(forward_demodulation,[status(thm)],[f253,f2773]) ).
fof(f2775,plain,
( $false
| ~ spl0_299
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[status(thm)],[f2774,f217]) ).
fof(f2776,plain,
( ~ spl0_299
| ~ spl0_132 ),
inference(contradiction_clause,[status(thm)],[f2775]) ).
fof(f2822,plain,
( op1(e12,op1(e11,e11)) = e11
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f253,f1450]) ).
fof(f2823,plain,
( op1(e12,e12) = e11
| ~ spl0_290 ),
inference(forward_demodulation,[status(thm)],[f253,f2822]) ).
fof(f2824,plain,
( op1(e11,op1(e13,e11)) = e13
| ~ spl0_53
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f575,f1458]) ).
fof(f2825,plain,
( op1(e11,e11) = e13
| ~ spl0_53
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f575,f2824]) ).
fof(f2826,plain,
( e12 = e13
| ~ spl0_53
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f253,f2825]) ).
fof(f2827,plain,
( $false
| ~ spl0_53
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[status(thm)],[f2826,f217]) ).
fof(f2828,plain,
( ~ spl0_53
| ~ spl0_292 ),
inference(contradiction_clause,[status(thm)],[f2827]) ).
fof(f2837,plain,
( spl0_41
| ~ spl0_290 ),
inference(split_clause,[status(thm)],[f2823,f535,f1449]) ).
fof(f2848,plain,
( h2(e13) != op2(e23,e21)
| ~ spl0_183
| ~ spl0_257
| ~ spl0_55
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1063,f1938]) ).
fof(f2849,plain,
( op2(e22,op2(e22,e23)) = e22
| ~ spl0_110
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f792,f913]) ).
fof(f2850,plain,
( op2(e22,e22) = e22
| ~ spl0_110
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f792,f2849]) ).
fof(f2858,plain,
( h2(e13) != op2(e20,h2(e13))
| ~ spl0_252
| ~ spl0_15
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1299,f1795]) ).
fof(f2859,plain,
( h2(e13) != op2(e20,e23)
| ~ spl0_183
| ~ spl0_252
| ~ spl0_15
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1063,f2858]) ).
fof(f2860,plain,
( ~ spl0_55
| ~ spl0_63 ),
inference(split_clause,[status(thm)],[f1771,f580,f606]) ).
fof(f2865,plain,
( ~ spl0_113
| ~ spl0_117 ),
inference(split_clause,[status(thm)],[f1643,f801,f814]) ).
fof(f2872,plain,
( h2(e11) != op2(e22,e20)
| ~ spl0_33
| ~ spl0_252
| ~ spl0_262
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f510,f2594]) ).
fof(f2875,plain,
( op1(e10,e10) != e11
| ~ spl0_33 ),
inference(paramodulation,[status(thm)],[f510,f117]) ).
fof(f2880,plain,
( h4(e12) = e21
| ~ spl0_83
| ~ spl0_303 ),
inference(backward_demodulation,[status(thm)],[f2714,f272]) ).
fof(f2883,plain,
( op2(e23,op2(e20,e23)) = e20
| ~ spl0_79
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f691,f905]) ).
fof(f2884,plain,
( op2(e23,e23) = e20
| ~ spl0_79
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f691,f2883]) ).
fof(f2885,plain,
( h3(e11) != op2(e23,h3(e10))
| ~ spl0_33
| ~ spl0_205
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f510,f2730]) ).
fof(f2886,plain,
( op2(e23,e22) != e22
| ~ spl0_205
| ~ spl0_238 ),
inference(paramodulation,[status(thm)],[f2734,f211]) ).
fof(f2887,plain,
( ~ spl0_122
| ~ spl0_205
| ~ spl0_238 ),
inference(split_clause,[status(thm)],[f2886,f830,f1131,f1242]) ).
fof(f2890,plain,
( op2(e22,e23) != e22
| ~ spl0_205
| ~ spl0_238 ),
inference(paramodulation,[status(thm)],[f2734,f187]) ).
fof(f2891,plain,
( ~ spl0_110
| ~ spl0_205
| ~ spl0_238 ),
inference(split_clause,[status(thm)],[f2890,f791,f1131,f1242]) ).
fof(f2896,plain,
( ~ spl0_122
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1585,f830,f843]) ).
fof(f2897,plain,
( ~ spl0_117
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2408,f814,f840]) ).
fof(f2898,plain,
( ~ spl0_93
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2411,f736,f840]) ).
fof(f2906,plain,
( h3(e11) != op2(e23,e22)
| ~ spl0_122
| ~ spl0_33
| ~ spl0_205
| spl0_192 ),
inference(backward_demodulation,[status(thm)],[f2724,f2885]) ).
fof(f2907,plain,
( h3(e11) != e22
| ~ spl0_122
| ~ spl0_33
| ~ spl0_205
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f831,f2906]) ).
fof(f2908,plain,
( e22 != e22
| ~ spl0_273
| ~ spl0_122
| ~ spl0_33
| ~ spl0_205
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1383,f2907]) ).
fof(f2909,plain,
( $false
| ~ spl0_273
| ~ spl0_122
| ~ spl0_33
| ~ spl0_205
| spl0_192 ),
inference(trivial_equality_resolution,[status(esa)],[f2908]) ).
fof(f2910,plain,
( ~ spl0_273
| ~ spl0_122
| ~ spl0_33
| ~ spl0_205
| spl0_192 ),
inference(contradiction_clause,[status(thm)],[f2909]) ).
fof(f2913,plain,
( h3(e13) = op2(e22,e22)
| ~ spl0_122
| ~ spl0_205 ),
inference(backward_demodulation,[status(thm)],[f2724,f2433]) ).
fof(f2914,plain,
( h3(e13) = e23
| ~ spl0_122
| ~ spl0_205 ),
inference(forward_demodulation,[status(thm)],[f2568,f2913]) ).
fof(f2915,plain,
( $false
| spl0_206
| ~ spl0_122
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[status(thm)],[f2914,f1137]) ).
fof(f2916,plain,
( spl0_206
| ~ spl0_122
| ~ spl0_205 ),
inference(contradiction_clause,[status(thm)],[f2915]) ).
fof(f2923,plain,
( spl0_40
| ~ spl0_14
| ~ spl0_129 ),
inference(split_clause,[status(thm)],[f2666,f532,f447,f885]) ).
fof(f2924,plain,
( ~ spl0_112
| ~ spl0_124 ),
inference(split_clause,[status(thm)],[f1652,f798,f837]) ).
fof(f2930,plain,
( spl0_105
| ~ spl0_295 ),
inference(split_clause,[status(thm)],[f2457,f775,f1468]) ).
fof(f2931,plain,
( e12 != e12
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f253,f2230]) ).
fof(f2932,plain,
( $false
| ~ spl0_26 ),
inference(trivial_equality_resolution,[status(esa)],[f2931]) ).
fof(f2933,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f2932]) ).
fof(f2934,plain,
( ~ spl0_66
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f2386,f648,f804]) ).
fof(f2935,plain,
( ~ spl0_58
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f2251,f590,f603]) ).
fof(f2938,plain,
( ~ spl0_89
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f1641,f723,f827]) ).
fof(f2940,plain,
( spl0_125
| ~ spl0_83
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f2714,f840,f703,f1500]) ).
fof(f2946,plain,
( op2(e21,e23) != e21
| ~ spl0_83
| ~ spl0_303 ),
inference(paramodulation,[status(thm)],[f2714,f186]) ).
fof(f2947,plain,
( ~ spl0_93
| ~ spl0_83
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f2946,f736,f703,f1500]) ).
fof(f2951,plain,
( e12 != e12
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f253,f2243]) ).
fof(f2952,plain,
( $false
| ~ spl0_30 ),
inference(trivial_equality_resolution,[status(esa)],[f2951]) ).
fof(f2953,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2954,plain,
( ~ spl0_9
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f2045,f431,f483]) ).
fof(f2958,plain,
( e22 != e22
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f256,f2360]) ).
fof(f2959,plain,
( $false
| ~ spl0_118 ),
inference(trivial_equality_resolution,[status(esa)],[f2958]) ).
fof(f2960,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f2959]) ).
fof(f2961,plain,
( ~ spl0_16
| ~ spl0_28 ),
inference(split_clause,[status(thm)],[f2179,f454,f493]) ).
fof(f2962,plain,
( ~ spl0_6
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f2114,f421,f434]) ).
fof(f2964,plain,
( spl0_107
| ~ spl0_122
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f2657,f781,f830,f1246]) ).
fof(f2966,plain,
( e22 = op2(e20,e20)
| ~ spl0_250 ),
inference(backward_demodulation,[status(thm)],[f1291,f260]) ).
fof(f2967,plain,
( spl0_66
| ~ spl0_250 ),
inference(split_clause,[status(thm)],[f2966,f648,f1290]) ).
fof(f3048,plain,
( h3(e11) != op2(e22,h3(e12))
| ~ spl0_25
| ~ spl0_273
| spl0_190 ),
inference(backward_demodulation,[status(thm)],[f484,f1920]) ).
fof(f3049,plain,
( op1(op1(e11,e12),e11) = e11
| ~ spl0_25
| ~ spl0_232 ),
inference(backward_demodulation,[status(thm)],[f484,f1220]) ).
fof(f3050,plain,
( op1(e11,e11) = e11
| ~ spl0_25
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f484,f3049]) ).
fof(f3051,plain,
( $false
| spl0_21
| ~ spl0_25
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[status(thm)],[f3050,f472]) ).
fof(f3052,plain,
( spl0_21
| ~ spl0_25
| ~ spl0_232 ),
inference(contradiction_clause,[status(thm)],[f3051]) ).
fof(f3053,plain,
( h2(e11) != op2(e21,e22)
| ~ spl0_25
| ~ spl0_262
| ~ spl0_257
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f484,f1951]) ).
fof(f3067,plain,
( ~ spl0_75
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f1569,f677,f690]) ).
fof(f3072,plain,
( ~ spl0_114
| ~ spl0_126 ),
inference(split_clause,[status(thm)],[f1587,f804,f843]) ).
fof(f3077,plain,
( op2(e21,op2(e21,e23)) = e21
| ~ spl0_93
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f737,f909]) ).
fof(f3078,plain,
( op2(e21,e21) = e21
| ~ spl0_93
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f737,f3077]) ).
fof(f3079,plain,
( $false
| spl0_85
| ~ spl0_93
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[status(thm)],[f3078,f712]) ).
fof(f3080,plain,
( spl0_85
| ~ spl0_93
| ~ spl0_135 ),
inference(contradiction_clause,[status(thm)],[f3079]) ).
fof(f3115,plain,
( op1(op1(e11,e13),e10) = e11
| ~ spl0_28
| ~ spl0_130 ),
inference(backward_demodulation,[status(thm)],[f494,f890]) ).
fof(f3116,plain,
( op1(e10,e10) = e11
| ~ spl0_28
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f494,f3115]) ).
fof(f3117,plain,
( h2(e10) != op2(e21,e23)
| ~ spl0_28
| ~ spl0_183
| ~ spl0_257
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f494,f2576]) ).
fof(f3125,plain,
( h3(e12) != op2(h3(e10),h3(e12))
| ~ spl0_10
| spl0_186 ),
inference(backward_demodulation,[status(thm)],[f435,f1074]) ).
fof(f3126,plain,
( op1(op1(e10,e12),e12) = e10
| ~ spl0_10
| ~ spl0_231 ),
inference(backward_demodulation,[status(thm)],[f435,f1216]) ).
fof(f3127,plain,
( op1(e12,e12) = e10
| ~ spl0_10
| ~ spl0_231 ),
inference(forward_demodulation,[status(thm)],[f435,f3126]) ).
fof(f3128,plain,
( $false
| ~ spl0_10
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[status(thm)],[f3127,f2124]) ).
fof(f3129,plain,
( ~ spl0_10
| ~ spl0_231 ),
inference(contradiction_clause,[status(thm)],[f3128]) ).
fof(f3135,plain,
( h3(e10) != op2(h3(e13),h3(e12))
| ~ spl0_56
| spl0_198 ),
inference(backward_demodulation,[status(thm)],[f585,f1110]) ).
fof(f3136,plain,
( h2(e10) != op2(e23,e22)
| ~ spl0_56
| ~ spl0_183
| ~ spl0_262
| spl0_175 ),
inference(backward_demodulation,[status(thm)],[f585,f2580]) ).
fof(f3146,plain,
( h3(e11) != op2(h3(e10),e22)
| ~ spl0_5
| ~ spl0_273
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f419,f1918]) ).
fof(f3154,plain,
( op2(e23,op2(e22,e23)) = e22
| ~ spl0_111
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f795,f913]) ).
fof(f3155,plain,
( op2(e23,e23) = e22
| ~ spl0_111
| ~ spl0_136 ),
inference(forward_demodulation,[status(thm)],[f795,f3154]) ).
fof(f3160,plain,
( ~ spl0_19
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f1792,f463,f502]) ).
fof(f3162,plain,
( ~ spl0_112
| ~ spl0_120 ),
inference(split_clause,[status(thm)],[f2367,f798,f824]) ).
fof(f3163,plain,
( ~ spl0_98
| ~ spl0_106 ),
inference(split_clause,[status(thm)],[f1689,f752,f778]) ).
fof(f3165,plain,
( ~ spl0_89
| ~ spl0_105 ),
inference(split_clause,[status(thm)],[f2329,f723,f775]) ).
fof(f3177,plain,
( ~ spl0_113
| ~ spl0_125 ),
inference(split_clause,[status(thm)],[f2409,f801,f840]) ).
fof(f3181,plain,
( spl0_124
| ~ spl0_79
| ~ spl0_134 ),
inference(split_clause,[status(thm)],[f2884,f837,f690,f904]) ).
fof(f3192,plain,
( h2(e13) != e23
| ~ spl0_119
| ~ spl0_183
| ~ spl0_257
| ~ spl0_55
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f821,f2848]) ).
fof(f3193,plain,
( ~ spl0_183
| ~ spl0_119
| ~ spl0_257
| ~ spl0_55
| spl0_174 ),
inference(split_clause,[status(thm)],[f3192,f1062,f820,f1318,f580,f1032]) ).
fof(f3199,plain,
( op2(h4(e12),op2(e23,e23)) = e23
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f272,f917]) ).
fof(f3200,plain,
( op2(h4(e12),h4(e12)) = e23
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f272,f3199]) ).
fof(f3214,plain,
( op1(op1(e11,e13),e11) = e11
| ~ spl0_29
| ~ spl0_130 ),
inference(backward_demodulation,[status(thm)],[f497,f890]) ).
fof(f3215,plain,
( op1(e11,e11) = e11
| ~ spl0_29
| ~ spl0_130 ),
inference(forward_demodulation,[status(thm)],[f497,f3214]) ).
fof(f3216,plain,
( $false
| spl0_21
| ~ spl0_29
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[status(thm)],[f3215,f472]) ).
fof(f3217,plain,
( spl0_21
| ~ spl0_29
| ~ spl0_130 ),
inference(contradiction_clause,[status(thm)],[f3216]) ).
fof(f3221,plain,
( spl0_61
| ~ spl0_299 ),
inference(split_clause,[status(thm)],[f2637,f600,f1484]) ).
fof(f3231,plain,
( op1(e13,op1(e12,e12)) = e12
| ~ spl0_43
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f542,f1224]) ).
fof(f3232,plain,
( op1(e13,e13) = e12
| ~ spl0_43
| ~ spl0_233 ),
inference(forward_demodulation,[status(thm)],[f542,f3231]) ).
fof(f3236,plain,
( h2(e12) != op2(e22,e23)
| ~ spl0_46
| ~ spl0_183
| ~ spl0_262
| spl0_172 ),
inference(backward_demodulation,[status(thm)],[f552,f2581]) ).
fof(f3237,plain,
( h3(e12) != op2(h3(e12),h3(e13))
| ~ spl0_46
| spl0_195 ),
inference(backward_demodulation,[status(thm)],[f552,f1101]) ).
fof(f3255,plain,
( op2(e21,op2(e21,e22)) = e21
| ~ spl0_89
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f724,f1239]) ).
fof(f3256,plain,
( op2(e21,e21) = e21
| ~ spl0_89
| ~ spl0_237 ),
inference(forward_demodulation,[status(thm)],[f724,f3255]) ).
fof(f3257,plain,
( $false
| spl0_85
| ~ spl0_89
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[status(thm)],[f3256,f712]) ).
fof(f3258,plain,
( spl0_85
| ~ spl0_89
| ~ spl0_237 ),
inference(contradiction_clause,[status(thm)],[f3257]) ).
fof(f3260,plain,
( h4(e12) = e22
| ~ spl0_111
| ~ spl0_136 ),
inference(backward_demodulation,[status(thm)],[f3155,f272]) ).
fof(f3263,plain,
( op2(e23,e20) != e22
| ~ spl0_111
| ~ spl0_136 ),
inference(paramodulation,[status(thm)],[f3155,f208]) ).
fof(f3264,plain,
( ~ spl0_114
| ~ spl0_111
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f3263,f804,f794,f912]) ).
fof(f3268,plain,
( op2(e20,e23) != e22
| ~ spl0_111
| ~ spl0_136 ),
inference(paramodulation,[status(thm)],[f3155,f184]) ).
fof(f3269,plain,
( ~ spl0_78
| ~ spl0_111
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f3268,f687,f794,f912]) ).
fof(f3275,plain,
( h3(e12) = e22
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f779,f268]) ).
fof(f3276,plain,
( $false
| spl0_274
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f3275,f1388]) ).
fof(f3277,plain,
( spl0_274
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f3276]) ).
fof(f3281,plain,
( h2(e11) != e21
| ~ spl0_97
| ~ spl0_33
| ~ spl0_252
| ~ spl0_262
| spl0_169 ),
inference(backward_demodulation,[status(thm)],[f750,f2872]) ).
fof(f3282,plain,
( ~ spl0_257
| ~ spl0_97
| ~ spl0_33
| ~ spl0_252
| ~ spl0_262
| spl0_169 ),
inference(split_clause,[status(thm)],[f3281,f1318,f749,f509,f1298,f1338,f1017]) ).
fof(f3305,plain,
( op1(e12,e13) != e12
| ~ spl0_43
| ~ spl0_233 ),
inference(paramodulation,[status(thm)],[f3232,f139]) ).
fof(f3306,plain,
( ~ spl0_46
| ~ spl0_43
| ~ spl0_233 ),
inference(split_clause,[status(thm)],[f3305,f551,f541,f1223]) ).
fof(f3345,plain,
( op1(e10,op1(e11,e12)) = e11
| ~ spl0_24
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f481,f1220]) ).
fof(f3346,plain,
( op1(e10,e10) = e11
| ~ spl0_24
| ~ spl0_232 ),
inference(forward_demodulation,[status(thm)],[f481,f3345]) ).
fof(f3347,plain,
( e11 = e12
| ~ spl0_24
| ~ spl0_232
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f3346,f409]) ).
fof(f3348,plain,
( $false
| ~ spl0_24
| ~ spl0_232
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3347,f215]) ).
fof(f3349,plain,
( ~ spl0_24
| ~ spl0_232
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f3348]) ).
fof(f3367,plain,
( h3(e10) = op2(e22,e22)
| ~ spl0_106 ),
inference(backward_demodulation,[status(thm)],[f3275,f1539]) ).
fof(f3368,plain,
( h3(e10) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f779,f3367]) ).
fof(f3469,plain,
( op2(e22,h4(e12)) = e23
| ~ spl0_111
| ~ spl0_136
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f3260,f3200]) ).
fof(f3470,plain,
( op2(e22,e22) = e23
| ~ spl0_111
| ~ spl0_136
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f3260,f3469]) ).
fof(f3471,plain,
( e22 = e23
| ~ spl0_106
| ~ spl0_111
| ~ spl0_136
| ~ spl0_137 ),
inference(forward_demodulation,[status(thm)],[f779,f3470]) ).
fof(f3472,plain,
( $false
| ~ spl0_106
| ~ spl0_111
| ~ spl0_136
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[status(thm)],[f3471,f223]) ).
fof(f3473,plain,
( ~ spl0_106
| ~ spl0_111
| ~ spl0_136
| ~ spl0_137 ),
inference(contradiction_clause,[status(thm)],[f3472]) ).
fof(f3476,plain,
( op2(e23,op2(e22,e23)) != e22
| ~ spl0_111
| spl0_136 ),
inference(forward_demodulation,[status(thm)],[f795,f914]) ).
fof(f3477,plain,
( op2(e23,e23) != e22
| ~ spl0_111
| spl0_136 ),
inference(forward_demodulation,[status(thm)],[f795,f3476]) ).
fof(f3478,plain,
( op2(e23,op2(e23,e22)) = e23
| ~ spl0_123
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f834,f1247]) ).
fof(f3479,plain,
( op2(e23,e23) = e23
| ~ spl0_123
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f834,f3478]) ).
fof(f3487,plain,
( e11 != e11
| ~ spl0_24
| ~ spl0_232
| ~ spl0_49 ),
inference(forward_demodulation,[status(thm)],[f3346,f1886]) ).
fof(f3488,plain,
( $false
| ~ spl0_24
| ~ spl0_232
| ~ spl0_49 ),
inference(trivial_equality_resolution,[status(esa)],[f3487]) ).
fof(f3489,plain,
( ~ spl0_24
| ~ spl0_232
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f3488]) ).
fof(f3490,plain,
( ~ spl0_50
| ~ spl0_58 ),
inference(split_clause,[status(thm)],[f1853,f564,f590]) ).
fof(f3495,plain,
( e11 != e11
| ~ spl0_24
| ~ spl0_232
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f3346,f2875]) ).
fof(f3496,plain,
( $false
| ~ spl0_24
| ~ spl0_232
| ~ spl0_33 ),
inference(trivial_equality_resolution,[status(esa)],[f3495]) ).
fof(f3497,plain,
( ~ spl0_24
| ~ spl0_232
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f3496]) ).
fof(f3504,plain,
( ~ spl0_2
| spl0_291 ),
inference(split_clause,[status(thm)],[f2506,f408,f1453]) ).
fof(f3505,plain,
( h3(e12) != op2(e22,h3(e13))
| ~ spl0_106
| ~ spl0_46
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f3275,f3237]) ).
fof(f3506,plain,
( h3(e11) != op2(e22,e22)
| ~ spl0_106
| ~ spl0_25
| ~ spl0_273
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f3275,f3048]) ).
fof(f3507,plain,
( h3(e11) != e22
| ~ spl0_106
| ~ spl0_25
| ~ spl0_273
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f779,f3506]) ).
fof(f3508,plain,
( e22 != e22
| ~ spl0_106
| ~ spl0_25
| ~ spl0_273
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1383,f3507]) ).
fof(f3509,plain,
( $false
| ~ spl0_106
| ~ spl0_25
| ~ spl0_273
| spl0_190 ),
inference(trivial_equality_resolution,[status(esa)],[f3508]) ).
fof(f3510,plain,
( ~ spl0_106
| ~ spl0_25
| ~ spl0_273
| spl0_190 ),
inference(contradiction_clause,[status(thm)],[f3509]) ).
fof(f3511,plain,
( h3(op1(e11,e12)) = op2(e22,h3(e12))
| ~ spl0_273
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1383,f1085]) ).
fof(f3514,plain,
( spl0_1
| ~ spl0_28
| ~ spl0_130 ),
inference(split_clause,[status(thm)],[f3116,f405,f493,f889]) ).
fof(f3515,plain,
( h3(e10) != op2(h3(e13),e22)
| ~ spl0_106
| ~ spl0_56
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f3275,f3135]) ).
fof(f3516,plain,
( h3(e12) != op2(h3(e10),e22)
| ~ spl0_106
| ~ spl0_10
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3275,f3125]) ).
fof(f3517,plain,
( spl0_127
| ~ spl0_123
| ~ spl0_239 ),
inference(split_clause,[status(thm)],[f3479,f846,f833,f1246]) ).
fof(f3552,plain,
( h3(e10) != op2(e22,h3(e13))
| ~ spl0_28
| ~ spl0_273
| spl0_191 ),
inference(backward_demodulation,[status(thm)],[f494,f2248]) ).
fof(f3564,plain,
( h3(e11) != op2(h3(e13),h3(e13))
| ~ spl0_61
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f601,f1113]) ).
fof(f3576,plain,
( h3(e10) != op2(h3(e10),h3(e10))
| ~ spl0_0
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f403,f1068]) ).
fof(f3577,plain,
( h2(e11) != h4(e12)
| ~ spl0_299
| ~ spl0_183
| spl0_176 ),
inference(paramodulation,[status(thm)],[f272,f2768]) ).
fof(f3597,plain,
( h3(e13) != op2(h3(e13),e22)
| ~ spl0_55
| ~ spl0_273
| spl0_197 ),
inference(backward_demodulation,[status(thm)],[f581,f2172]) ).
fof(f3604,plain,
( op1(op1(e13,e10),e12) = e13
| ~ spl0_50
| ~ spl0_301 ),
inference(backward_demodulation,[status(thm)],[f565,f1493]) ).
fof(f3605,plain,
( h3(e12) != op2(h3(e13),h3(e10))
| ~ spl0_50
| spl0_196 ),
inference(backward_demodulation,[status(thm)],[f565,f1104]) ).
fof(f3607,plain,
( h2(e12) != op2(e23,e20)
| ~ spl0_50
| ~ spl0_252
| ~ spl0_183
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f565,f2709]) ).
fof(f3613,plain,
( h2(e12) != op2(e20,e22)
| ~ spl0_10
| ~ spl0_252
| ~ spl0_262
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f435,f2593]) ).
fof(f3638,plain,
( h2(e10) != e20
| ~ spl0_92
| ~ spl0_28
| ~ spl0_183
| ~ spl0_257
| spl0_168 ),
inference(backward_demodulation,[status(thm)],[f734,f3117]) ).
fof(f3639,plain,
( ~ spl0_252
| ~ spl0_92
| ~ spl0_28
| ~ spl0_183
| ~ spl0_257
| spl0_168 ),
inference(split_clause,[status(thm)],[f3638,f1298,f733,f493,f1062,f1318,f1014]) ).
fof(f3646,plain,
( h2(e11) != e21
| ~ spl0_89
| ~ spl0_25
| ~ spl0_262
| ~ spl0_257
| spl0_167 ),
inference(backward_demodulation,[status(thm)],[f724,f3053]) ).
fof(f3647,plain,
( ~ spl0_257
| ~ spl0_89
| ~ spl0_25
| ~ spl0_262
| spl0_167 ),
inference(split_clause,[status(thm)],[f3646,f1318,f723,f483,f1338,f1011]) ).
fof(f3729,plain,
( op2(e20,op2(e23,e20)) = e23
| ~ spl0_112
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f799,f1509]) ).
fof(f3730,plain,
( op2(e20,e20) = e23
| ~ spl0_112
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f799,f3729]) ).
fof(f3731,plain,
( $false
| spl0_67
| ~ spl0_112
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[status(thm)],[f3730,f653]) ).
fof(f3732,plain,
( spl0_67
| ~ spl0_112
| ~ spl0_305 ),
inference(contradiction_clause,[status(thm)],[f3731]) ).
fof(f3736,plain,
( spl0_106
| ~ spl0_110
| ~ spl0_136 ),
inference(split_clause,[status(thm)],[f2850,f778,f791,f912]) ).
fof(f3741,plain,
( op2(e20,op2(e21,e23)) = e21
| ~ spl0_92
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f734,f909]) ).
fof(f3742,plain,
( op2(e20,e20) = e21
| ~ spl0_92
| ~ spl0_135 ),
inference(forward_demodulation,[status(thm)],[f734,f3741]) ).
fof(f3743,plain,
( h3(e11) = op2(e22,h3(e12))
| ~ spl0_25
| ~ spl0_273
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f484,f3511]) ).
fof(f3744,plain,
( e22 = op2(e22,h3(e12))
| ~ spl0_25
| ~ spl0_273
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1383,f3743]) ).
fof(f3745,plain,
( e22 = op2(e22,e23)
| ~ spl0_205
| ~ spl0_25
| ~ spl0_273
| ~ spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1132,f3744]) ).
fof(f3836,plain,
( op2(e22,e22) != e22
| ~ spl0_205
| ~ spl0_25
| ~ spl0_273
| ~ spl0_190 ),
inference(paramodulation,[status(thm)],[f3745,f205]) ).
fof(f3837,plain,
( ~ spl0_106
| ~ spl0_205
| ~ spl0_25
| ~ spl0_273
| ~ spl0_190 ),
inference(split_clause,[status(thm)],[f3836,f778,f1131,f483,f1382,f1084]) ).
fof(f3847,plain,
( ~ spl0_126
| ~ spl0_111
| spl0_136 ),
inference(split_clause,[status(thm)],[f3477,f843,f794,f912]) ).
fof(f3927,plain,
( h3(e10) != op2(h3(e10),e22)
| ~ spl0_106
| ~ spl0_0
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f3368,f3576]) ).
fof(f3928,plain,
( h3(e10) != op2(e22,e22)
| ~ spl0_106
| ~ spl0_0
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f3368,f3927]) ).
fof(f3929,plain,
( h3(e10) != e22
| ~ spl0_106
| ~ spl0_0
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f779,f3928]) ).
fof(f3930,plain,
( e22 != e22
| ~ spl0_106
| ~ spl0_0
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f3368,f3929]) ).
fof(f3931,plain,
( $false
| ~ spl0_106
| ~ spl0_0
| spl0_184 ),
inference(trivial_equality_resolution,[status(esa)],[f3930]) ).
fof(f3932,plain,
( ~ spl0_106
| ~ spl0_0
| spl0_184 ),
inference(contradiction_clause,[status(thm)],[f3931]) ).
fof(f3933,plain,
( h3(e12) != op2(h3(e13),e22)
| ~ spl0_106
| ~ spl0_50
| spl0_196 ),
inference(backward_demodulation,[status(thm)],[f3368,f3605]) ).
fof(f3934,plain,
( h3(e11) != op2(e22,e22)
| ~ spl0_106
| ~ spl0_5
| ~ spl0_273
| spl0_185 ),
inference(backward_demodulation,[status(thm)],[f3368,f3146]) ).
fof(f3935,plain,
( h3(e11) != e22
| ~ spl0_106
| ~ spl0_5
| ~ spl0_273
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f779,f3934]) ).
fof(f3936,plain,
( e22 != e22
| ~ spl0_106
| ~ spl0_5
| ~ spl0_273
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1383,f3935]) ).
fof(f3937,plain,
( $false
| ~ spl0_106
| ~ spl0_5
| ~ spl0_273
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f3936]) ).
fof(f3938,plain,
( ~ spl0_106
| ~ spl0_5
| ~ spl0_273
| spl0_185 ),
inference(contradiction_clause,[status(thm)],[f3937]) ).
fof(f3951,plain,
( h3(e13) != op2(e22,h3(e13))
| ~ spl0_106
| ~ spl0_15
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f3368,f1796]) ).
fof(f3952,plain,
( h3(e13) = op2(e22,e22)
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f3368,f2433]) ).
fof(f3953,plain,
( h3(e13) = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f779,f3952]) ).
fof(f3954,plain,
( $false
| spl0_275
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f3953,f1392]) ).
fof(f3955,plain,
( spl0_275
| ~ spl0_106 ),
inference(contradiction_clause,[status(thm)],[f3954]) ).
fof(f3989,plain,
( op2(e21,op2(e23,e22)) = e23
| ~ spl0_121
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f828,f1247]) ).
fof(f3990,plain,
( op2(e21,e21) = e23
| ~ spl0_121
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f828,f3989]) ).
fof(f3991,plain,
( e22 = e23
| ~ spl0_121
| ~ spl0_239 ),
inference(forward_demodulation,[status(thm)],[f256,f3990]) ).
fof(f3992,plain,
( $false
| ~ spl0_121
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[status(thm)],[f3991,f223]) ).
fof(f3993,plain,
( ~ spl0_121
| ~ spl0_239 ),
inference(contradiction_clause,[status(thm)],[f3992]) ).
fof(f4016,plain,
( op2(op2(e22,e22),h3(e12)) != e22
| spl0_238 ),
inference(backward_demodulation,[status(thm)],[f268,f1244]) ).
fof(f4017,plain,
( op2(h3(e12),h3(e12)) != e22
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f268,f4016]) ).
fof(f4023,plain,
( h2(e13) != e23
| ~ spl0_79
| ~ spl0_183
| ~ spl0_252
| ~ spl0_15
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f691,f2859]) ).
fof(f4024,plain,
( e23 != e23
| ~ spl0_79
| ~ spl0_183
| ~ spl0_252
| ~ spl0_15
| spl0_164 ),
inference(forward_demodulation,[status(thm)],[f1063,f4023]) ).
fof(f4025,plain,
( $false
| ~ spl0_79
| ~ spl0_183
| ~ spl0_252
| ~ spl0_15
| spl0_164 ),
inference(trivial_equality_resolution,[status(esa)],[f4024]) ).
fof(f4026,plain,
( ~ spl0_79
| ~ spl0_183
| ~ spl0_252
| ~ spl0_15
| spl0_164 ),
inference(contradiction_clause,[status(thm)],[f4025]) ).
fof(f4031,plain,
( e22 = op2(e22,e22)
| ~ spl0_274 ),
inference(forward_demodulation,[status(thm)],[f1387,f268]) ).
fof(f4041,plain,
( h2(e10) != e20
| ~ spl0_120
| ~ spl0_56
| ~ spl0_183
| ~ spl0_262
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f825,f3136]) ).
fof(f4042,plain,
( e20 != e20
| ~ spl0_252
| ~ spl0_120
| ~ spl0_56
| ~ spl0_183
| ~ spl0_262
| spl0_175 ),
inference(forward_demodulation,[status(thm)],[f1299,f4041]) ).
fof(f4043,plain,
( $false
| ~ spl0_252
| ~ spl0_120
| ~ spl0_56
| ~ spl0_183
| ~ spl0_262
| spl0_175 ),
inference(trivial_equality_resolution,[status(esa)],[f4042]) ).
fof(f4044,plain,
( ~ spl0_252
| ~ spl0_120
| ~ spl0_56
| ~ spl0_183
| ~ spl0_262
| spl0_175 ),
inference(contradiction_clause,[status(thm)],[f4043]) ).
fof(f4056,plain,
( h2(e11) != e21
| ~ spl0_299
| ~ spl0_183
| spl0_176
| ~ spl0_83
| ~ spl0_303 ),
inference(paramodulation,[status(thm)],[f2880,f3577]) ).
fof(f4057,plain,
( ~ spl0_257
| ~ spl0_299
| ~ spl0_183
| spl0_176
| ~ spl0_83
| ~ spl0_303 ),
inference(split_clause,[status(thm)],[f4056,f1318,f1484,f1062,f1038,f703,f1500]) ).
fof(f4062,plain,
( op2(op2(e23,e20),e22) = e23
| ~ spl0_114
| ~ spl0_305 ),
inference(backward_demodulation,[status(thm)],[f805,f1509]) ).
fof(f4063,plain,
( op2(e22,e22) = e23
| ~ spl0_114
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f805,f4062]) ).
fof(f4064,plain,
( h2(e12) != e22
| ~ spl0_114
| ~ spl0_50
| ~ spl0_252
| ~ spl0_183
| spl0_173 ),
inference(backward_demodulation,[status(thm)],[f805,f3607]) ).
fof(f4065,plain,
( ~ spl0_262
| ~ spl0_114
| ~ spl0_50
| ~ spl0_252
| ~ spl0_183
| spl0_173 ),
inference(split_clause,[status(thm)],[f4064,f1338,f804,f564,f1298,f1062,f1029]) ).
fof(f4159,plain,
( h3(e11) != op2(h3(e13),e22)
| ~ spl0_275
| ~ spl0_61
| spl0_199 ),
inference(backward_demodulation,[status(thm)],[f1391,f3564]) ).
fof(f4160,plain,
( h3(e11) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_61
| spl0_199 ),
inference(forward_demodulation,[status(thm)],[f1391,f4159]) ).
fof(f4184,plain,
( h3(e11) != e22
| ~ spl0_275
| ~ spl0_61
| spl0_199
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4160]) ).
fof(f4185,plain,
( ~ spl0_273
| ~ spl0_275
| ~ spl0_61
| spl0_199
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f4184,f1382,f1390,f600,f1111,f1386]) ).
fof(f4382,plain,
( h3(e13) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_55
| ~ spl0_273
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1391,f3597]) ).
fof(f4383,plain,
( h3(e13) != e22
| ~ spl0_275
| ~ spl0_55
| ~ spl0_273
| spl0_197
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4382]) ).
fof(f4384,plain,
( ~ spl0_275
| ~ spl0_55
| ~ spl0_273
| spl0_197
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f4383,f1390,f580,f1382,f1105,f1386]) ).
fof(f4395,plain,
( h3(e12) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_106
| ~ spl0_50
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f1391,f3933]) ).
fof(f4396,plain,
( h3(e12) != e22
| ~ spl0_275
| ~ spl0_106
| ~ spl0_50
| spl0_196
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4395]) ).
fof(f4397,plain,
( ~ spl0_274
| ~ spl0_275
| ~ spl0_106
| ~ spl0_50
| spl0_196 ),
inference(split_clause,[status(thm)],[f4396,f1386,f1390,f778,f564,f1102]) ).
fof(f4402,plain,
( h3(e13) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_106
| ~ spl0_15
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1391,f3951]) ).
fof(f4403,plain,
( h3(e13) != e22
| ~ spl0_275
| ~ spl0_106
| ~ spl0_15
| spl0_187
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4402]) ).
fof(f4404,plain,
( ~ spl0_275
| ~ spl0_106
| ~ spl0_15
| spl0_187
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f4403,f1390,f778,f450,f1075,f1386]) ).
fof(f4407,plain,
( op1(e11,op1(e10,e11)) = e10
| ~ spl0_5
| ~ spl0_289 ),
inference(forward_demodulation,[status(thm)],[f419,f1446]) ).
fof(f4408,plain,
( op1(e11,e11) = e10
| ~ spl0_5
| ~ spl0_289 ),
inference(forward_demodulation,[status(thm)],[f419,f4407]) ).
fof(f4409,plain,
( $false
| spl0_20
| ~ spl0_5
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[status(thm)],[f4408,f469]) ).
fof(f4410,plain,
( spl0_20
| ~ spl0_5
| ~ spl0_289 ),
inference(contradiction_clause,[status(thm)],[f4409]) ).
fof(f4411,plain,
( op2(e21,op2(e20,e21)) = e20
| ~ spl0_69
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f659,f1465]) ).
fof(f4412,plain,
( op2(e21,e21) = e20
| ~ spl0_69
| ~ spl0_294 ),
inference(forward_demodulation,[status(thm)],[f659,f4411]) ).
fof(f4413,plain,
( $false
| spl0_84
| ~ spl0_69
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[status(thm)],[f4412,f709]) ).
fof(f4414,plain,
( spl0_84
| ~ spl0_69
| ~ spl0_294 ),
inference(contradiction_clause,[status(thm)],[f4413]) ).
fof(f4415,plain,
( op1(e12,op1(e12,e13)) = e12
| ~ spl0_46
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f552,f894]) ).
fof(f4416,plain,
( op1(e12,e12) = e12
| ~ spl0_46
| ~ spl0_131 ),
inference(forward_demodulation,[status(thm)],[f552,f4415]) ).
fof(f4417,plain,
( $false
| spl0_42
| ~ spl0_46
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[status(thm)],[f4416,f540]) ).
fof(f4418,plain,
( spl0_42
| ~ spl0_46
| ~ spl0_131 ),
inference(contradiction_clause,[status(thm)],[f4417]) ).
fof(f4424,plain,
( op2(e22,h3(e12)) != e22
| ~ spl0_274
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f1387,f4017]) ).
fof(f4425,plain,
( op2(e22,e22) != e22
| ~ spl0_274
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f1387,f4424]) ).
fof(f4426,plain,
( e22 != e22
| ~ spl0_274
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f4031,f4425]) ).
fof(f4427,plain,
( $false
| ~ spl0_274
| spl0_238 ),
inference(trivial_equality_resolution,[status(esa)],[f4426]) ).
fof(f4428,plain,
( ~ spl0_274
| spl0_238 ),
inference(contradiction_clause,[status(thm)],[f4427]) ).
fof(f4431,plain,
( e22 != e22
| ~ spl0_106
| spl0_272 ),
inference(forward_demodulation,[status(thm)],[f3368,f1380]) ).
fof(f4432,plain,
( $false
| ~ spl0_106
| spl0_272 ),
inference(trivial_equality_resolution,[status(esa)],[f4431]) ).
fof(f4433,plain,
( ~ spl0_106
| spl0_272 ),
inference(contradiction_clause,[status(thm)],[f4432]) ).
fof(f4447,plain,
( h3(e11) != op2(h3(e12),h3(e10))
| ~ spl0_33
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f510,f1092]) ).
fof(f4448,plain,
( h3(e11) != op2(e22,h3(e10))
| ~ spl0_274
| ~ spl0_33
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1387,f4447]) ).
fof(f4449,plain,
( h3(e11) != op2(e22,e22)
| ~ spl0_106
| ~ spl0_274
| ~ spl0_33
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f3368,f4448]) ).
fof(f4459,plain,
( h3(e11) != e22
| ~ spl0_106
| ~ spl0_33
| spl0_192
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4449]) ).
fof(f4460,plain,
( ~ spl0_273
| ~ spl0_106
| ~ spl0_33
| spl0_192
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f4459,f1382,f778,f509,f1090,f1386]) ).
fof(f4465,plain,
( h3(e12) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_106
| ~ spl0_46
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1391,f3505]) ).
fof(f4471,plain,
( h3(e12) != e22
| ~ spl0_275
| ~ spl0_106
| ~ spl0_46
| spl0_195
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4465]) ).
fof(f4472,plain,
( ~ spl0_274
| ~ spl0_275
| ~ spl0_106
| ~ spl0_46
| spl0_195 ),
inference(split_clause,[status(thm)],[f4471,f1386,f1390,f778,f551,f1099]) ).
fof(f4476,plain,
( h3(e10) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_106
| ~ spl0_56
| spl0_198 ),
inference(forward_demodulation,[status(thm)],[f1391,f3515]) ).
fof(f4482,plain,
( h3(e10) != e22
| ~ spl0_275
| ~ spl0_106
| ~ spl0_56
| spl0_198
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4476]) ).
fof(f4483,plain,
( ~ spl0_272
| ~ spl0_275
| ~ spl0_106
| ~ spl0_56
| spl0_198
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f4482,f1378,f1390,f778,f584,f1108,f1386]) ).
fof(f4487,plain,
( h3(e12) != op2(e22,e22)
| ~ spl0_106
| ~ spl0_10
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f3368,f3516]) ).
fof(f4493,plain,
( h3(e12) != e22
| ~ spl0_106
| ~ spl0_10
| spl0_186
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4487]) ).
fof(f4494,plain,
( ~ spl0_274
| ~ spl0_106
| ~ spl0_10
| spl0_186 ),
inference(split_clause,[status(thm)],[f4493,f1386,f778,f434,f1072]) ).
fof(f4499,plain,
( h3(e10) != op2(e22,e22)
| ~ spl0_275
| ~ spl0_28
| ~ spl0_273
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1391,f3552]) ).
fof(f4501,plain,
( h3(e10) != e22
| ~ spl0_275
| ~ spl0_28
| ~ spl0_273
| spl0_191
| ~ spl0_274 ),
inference(paramodulation,[status(thm)],[f4031,f4499]) ).
fof(f4502,plain,
( ~ spl0_272
| ~ spl0_275
| ~ spl0_28
| ~ spl0_273
| spl0_191
| ~ spl0_274 ),
inference(split_clause,[status(thm)],[f4501,f1378,f1390,f493,f1382,f1087,f1386]) ).
fof(f4506,plain,
( h2(e13) != op2(e22,e22)
| ~ spl0_43
| ~ spl0_262
| spl0_171 ),
inference(forward_demodulation,[status(thm)],[f542,f1912]) ).
fof(f4512,plain,
( h3(e13) != e22
| ~ spl0_238
| ~ spl0_43
| spl0_194 ),
inference(backward_demodulation,[status(thm)],[f2444,f1985]) ).
fof(f4513,plain,
( ~ spl0_275
| ~ spl0_238
| ~ spl0_43
| spl0_194 ),
inference(split_clause,[status(thm)],[f4512,f1390,f1242,f541,f1096]) ).
fof(f4518,plain,
( h2(e10) != op2(e20,e20)
| ~ spl0_0
| ~ spl0_252
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f403,f2587]) ).
fof(f4519,plain,
( h2(e10) != e20
| ~ spl0_64
| ~ spl0_0
| ~ spl0_252
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f643,f4518]) ).
fof(f4520,plain,
( e20 != e20
| ~ spl0_64
| ~ spl0_0
| ~ spl0_252
| spl0_161 ),
inference(forward_demodulation,[status(thm)],[f1299,f4519]) ).
fof(f4521,plain,
( $false
| ~ spl0_64
| ~ spl0_0
| ~ spl0_252
| spl0_161 ),
inference(trivial_equality_resolution,[status(esa)],[f4520]) ).
fof(f4522,plain,
( ~ spl0_64
| ~ spl0_0
| ~ spl0_252
| spl0_161 ),
inference(contradiction_clause,[status(thm)],[f4521]) ).
fof(f4539,plain,
( h2(e11) != op2(h2(e10),e21)
| ~ spl0_5
| ~ spl0_257
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f419,f1903]) ).
fof(f4540,plain,
( h2(e11) != op2(e20,e21)
| ~ spl0_252
| ~ spl0_5
| ~ spl0_257
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1299,f4539]) ).
fof(f4541,plain,
( h2(e11) != e21
| ~ spl0_69
| ~ spl0_252
| ~ spl0_5
| ~ spl0_257
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f659,f4540]) ).
fof(f4542,plain,
( e21 != e21
| ~ spl0_69
| ~ spl0_252
| ~ spl0_5
| ~ spl0_257
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1319,f4541]) ).
fof(f4543,plain,
( $false
| ~ spl0_69
| ~ spl0_252
| ~ spl0_5
| ~ spl0_257
| spl0_162 ),
inference(trivial_equality_resolution,[status(esa)],[f4542]) ).
fof(f4544,plain,
( ~ spl0_69
| ~ spl0_252
| ~ spl0_5
| ~ spl0_257
| spl0_162 ),
inference(contradiction_clause,[status(thm)],[f4543]) ).
fof(f4548,plain,
( op2(e22,op2(e20,e23)) = e20
| ~ spl0_78
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f688,f905]) ).
fof(f4549,plain,
( op2(e22,e22) = e20
| ~ spl0_78
| ~ spl0_134 ),
inference(forward_demodulation,[status(thm)],[f688,f4548]) ).
fof(f4550,plain,
( spl0_65
| ~ spl0_92
| ~ spl0_135 ),
inference(split_clause,[status(thm)],[f3742,f645,f733,f908]) ).
fof(f4556,plain,
( op1(e13,op1(e13,e11)) = e13
| ~ spl0_55
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f581,f1458]) ).
fof(f4557,plain,
( op1(e13,e13) = e13
| ~ spl0_55
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f581,f4556]) ).
fof(f4558,plain,
( e11 = e13
| ~ spl0_61
| ~ spl0_55
| ~ spl0_292 ),
inference(forward_demodulation,[status(thm)],[f601,f4557]) ).
fof(f4559,plain,
( $false
| ~ spl0_61
| ~ spl0_55
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[status(thm)],[f4558,f216]) ).
fof(f4560,plain,
( ~ spl0_61
| ~ spl0_55
| ~ spl0_292 ),
inference(contradiction_clause,[status(thm)],[f4559]) ).
fof(f4567,plain,
( e22 = e23
| ~ spl0_275
| ~ spl0_206 ),
inference(forward_demodulation,[status(thm)],[f1391,f1136]) ).
fof(f4568,plain,
( $false
| ~ spl0_275
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[status(thm)],[f4567,f223]) ).
fof(f4569,plain,
( ~ spl0_275
| ~ spl0_206 ),
inference(contradiction_clause,[status(thm)],[f4568]) ).
fof(f4618,plain,
( e22 = e23
| ~ spl0_274
| ~ spl0_114
| ~ spl0_305 ),
inference(forward_demodulation,[status(thm)],[f4031,f4063]) ).
fof(f4619,plain,
( $false
| ~ spl0_274
| ~ spl0_114
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[status(thm)],[f4618,f223]) ).
fof(f4620,plain,
( ~ spl0_274
| ~ spl0_114
| ~ spl0_305 ),
inference(contradiction_clause,[status(thm)],[f4619]) ).
fof(f4633,plain,
( spl0_104
| ~ spl0_78
| ~ spl0_134 ),
inference(split_clause,[status(thm)],[f4549,f772,f687,f904]) ).
fof(f4749,plain,
( h2(e12) != e22
| ~ spl0_74
| ~ spl0_10
| ~ spl0_252
| ~ spl0_262
| spl0_163 ),
inference(backward_demodulation,[status(thm)],[f675,f3613]) ).
fof(f4750,plain,
( ~ spl0_262
| ~ spl0_74
| ~ spl0_10
| ~ spl0_252
| spl0_163 ),
inference(split_clause,[status(thm)],[f4749,f1338,f674,f434,f1298,f999]) ).
fof(f4773,plain,
( op1(e12,e12) = e13
| ~ spl0_50
| ~ spl0_301 ),
inference(forward_demodulation,[status(thm)],[f565,f3604]) ).
fof(f4774,plain,
( spl0_43
| ~ spl0_50
| ~ spl0_301 ),
inference(split_clause,[status(thm)],[f4773,f541,f564,f1492]) ).
fof(f4910,plain,
( h2(e13) != e23
| ~ spl0_43
| ~ spl0_262
| spl0_171
| ~ spl0_205 ),
inference(paramodulation,[status(thm)],[f2568,f4506]) ).
fof(f4911,plain,
( ~ spl0_183
| ~ spl0_43
| ~ spl0_262
| spl0_171
| ~ spl0_205 ),
inference(split_clause,[status(thm)],[f4910,f1062,f541,f1338,f1023,f1131]) ).
fof(f4912,plain,
( h2(e12) != e22
| ~ spl0_110
| ~ spl0_46
| ~ spl0_183
| ~ spl0_262
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f792,f3236]) ).
fof(f4913,plain,
( e22 != e22
| ~ spl0_110
| ~ spl0_46
| ~ spl0_183
| ~ spl0_262
| spl0_172 ),
inference(forward_demodulation,[status(thm)],[f1339,f4912]) ).
fof(f4914,plain,
( $false
| ~ spl0_110
| ~ spl0_46
| ~ spl0_183
| ~ spl0_262
| spl0_172 ),
inference(trivial_equality_resolution,[status(esa)],[f4913]) ).
fof(f4915,plain,
( ~ spl0_110
| ~ spl0_46
| ~ spl0_183
| ~ spl0_262
| spl0_172 ),
inference(contradiction_clause,[status(thm)],[f4914]) ).
fof(f4916,plain,
$false,
inference(sat_refutation,[status(thm)],[f414,f440,f479,f492,f505,f518,f544,f570,f596,f609,f611,f616,f620,f621,f625,f628,f630,f632,f634,f639,f641,f654,f680,f719,f732,f745,f771,f784,f797,f810,f823,f836,f849,f853,f854,f855,f856,f861,f865,f867,f868,f870,f871,f872,f873,f874,f875,f878,f879,f881,f888,f892,f907,f911,f915,f919,f1065,f1218,f1222,f1237,f1241,f1245,f1249,f1257,f1301,f1321,f1341,f1385,f1448,f1452,f1460,f1467,f1471,f1475,f1483,f1487,f1491,f1495,f1503,f1511,f1523,f1527,f1534,f1538,f1547,f1593,f1599,f1602,f1611,f1676,f1697,f1702,f1708,f1728,f1737,f1743,f1746,f1749,f1765,f1831,f1837,f1848,f1958,f1970,f1976,f2022,f2074,f2091,f2094,f2118,f2130,f2135,f2137,f2145,f2150,f2152,f2158,f2161,f2164,f2182,f2183,f2186,f2187,f2188,f2191,f2199,f2205,f2206,f2209,f2218,f2221,f2223,f2225,f2227,f2234,f2237,f2241,f2255,f2258,f2259,f2261,f2263,f2268,f2274,f2280,f2299,f2303,f2315,f2318,f2322,f2323,f2328,f2334,f2338,f2339,f2341,f2342,f2343,f2345,f2346,f2347,f2349,f2362,f2365,f2371,f2372,f2375,f2391,f2400,f2405,f2418,f2424,f2425,f2426,f2442,f2450,f2462,f2465,f2469,f2476,f2481,f2482,f2483,f2484,f2486,f2489,f2490,f2491,f2500,f2501,f2510,f2517,f2518,f2523,f2530,f2535,f2540,f2545,f2550,f2556,f2596,f2609,f2613,f2614,f2618,f2619,f2620,f2621,f2622,f2625,f2626,f2641,f2655,f2686,f2689,f2694,f2697,f2700,f2712,f2726,f2740,f2741,f2742,f2743,f2748,f2776,f2828,f2837,f2860,f2865,f2887,f2891,f2896,f2897,f2898,f2910,f2916,f2923,f2924,f2930,f2933,f2934,f2935,f2938,f2940,f2947,f2953,f2954,f2960,f2961,f2962,f2964,f2967,f3052,f3067,f3072,f3080,f3129,f3160,f3162,f3163,f3165,f3177,f3181,f3193,f3217,f3221,f3258,f3264,f3269,f3277,f3282,f3306,f3349,f3473,f3489,f3490,f3497,f3504,f3510,f3514,f3517,f3639,f3647,f3732,f3736,f3837,f3847,f3932,f3938,f3955,f3993,f4026,f4044,f4057,f4065,f4185,f4384,f4397,f4404,f4410,f4414,f4418,f4428,f4433,f4460,f4472,f4483,f4494,f4502,f4513,f4522,f4544,f4550,f4560,f4569,f4620,f4633,f4750,f4774,f4911,f4915]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG112+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:49:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 4.97/1.01 % Refutation found
% 4.97/1.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.97/1.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.97/1.02 % Elapsed time: 0.669144 seconds
% 4.97/1.02 % CPU time: 5.143211 seconds
% 4.97/1.02 % Total memory used: 66.816 MB
% 4.97/1.02 % Net memory used: 64.918 MB
%------------------------------------------------------------------------------