TSTP Solution File: ALG110+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG110+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:09:53 EDT 2024
% Result : Theorem 0.17s 0.54s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 243
% Syntax : Number of formulae : 1208 ( 174 unt; 0 def)
% Number of atoms : 3913 (2232 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4385 (1680 ~;1828 |; 651 &)
% ( 190 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 228 ( 226 usr; 227 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 )
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 )
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 )
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 )
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& h1(e13) = op2(e20,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21))
& h2(e13) = op2(e21,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22))
& h3(e13) = op2(e22,e22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23))
& h4(e13) = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(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(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(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(f40,plain,
( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f45,plain,
( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f53,plain,
( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f55,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f57,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f63,plain,
( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f64,plain,
( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(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(f69,plain,
( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(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(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(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(f84,plain,
( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f85,plain,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f91,plain,
( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f92,plain,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f93,plain,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f94,plain,
( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f95,plain,
( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f96,plain,
( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f97,plain,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f103,plain,
( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(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(f110,plain,
( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f111,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f117,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f118,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f119,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f122,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f132,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f139,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f142,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f143,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f145,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f146,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f147,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f149,plain,
op1(e11,e11) != op1(e11,e12),
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(f156,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f157,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f158,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f159,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(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(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(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(f179,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f182,plain,
op2(e20,e23) != op2(e21,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(f190,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f191,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f192,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f193,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f202,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f204,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f205,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f206,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f208,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f210,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f211,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f212,plain,
e10 != e11,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f213,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f214,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f216,plain,
e11 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f217,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f218,plain,
e20 != e21,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f219,plain,
e20 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f220,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f222,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f223,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f240,plain,
( pd0_0
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f241,plain,
( pd0_1
=> ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f242,plain,
( pd0_2
=> ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f243,plain,
( pd0_3
=> ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 ) ) ),
introduced(predicate_definition,[f10]) ).
fof(f244,plain,
( ( pd0_0
| ( op1(e13,e10) = e13
& op1(e10,e13) != e10 ) )
& ( pd0_1
| ( op1(e13,e11) = e13
& op1(e11,e13) != e11 ) )
& ( pd0_2
| ( op1(e13,e12) = e13
& op1(e12,e13) != e12 ) )
& ( pd0_3
| ( op1(e13,e13) = e13
& op1(e13,e13) != e13 ) ) ),
inference(formula_renaming,[status(thm)],[f10,f243,f242,f241,f240]) ).
fof(f245,plain,
( pd0_0
| op1(e13,e10) = e13 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f247,plain,
( pd0_1
| op1(e13,e11) = e13 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f250,plain,
( pd0_2
| op1(e12,e13) != e12 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f251,plain,
( pd0_3
| op1(e13,e13) = e13 ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f253,plain,
( pd0_4
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f254,plain,
( pd0_5
=> ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f255,plain,
( pd0_6
=> ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f256,plain,
( pd0_7
=> ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 ) ) ),
introduced(predicate_definition,[f11]) ).
fof(f257,plain,
( ( pd0_4
| ( op2(e23,e20) = e23
& op2(e20,e23) != e20 ) )
& ( pd0_5
| ( op2(e23,e21) = e23
& op2(e21,e23) != e21 ) )
& ( pd0_6
| ( op2(e23,e22) = e23
& op2(e22,e23) != e22 ) )
& ( pd0_7
| ( op2(e23,e23) = e23
& op2(e23,e23) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f11,f256,f255,f254,f253]) ).
fof(f258,plain,
( pd0_4
| op2(e23,e20) = e23 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f260,plain,
( pd0_5
| op2(e23,e21) = e23 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f263,plain,
( pd0_6
| op2(e22,e23) != e22 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f264,plain,
( pd0_7
| op2(e23,e23) = e23 ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f266,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f267,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f268,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f269,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f270,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f271,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f272,plain,
h1(e12) = e20,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f273,plain,
h1(e10) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f275,plain,
h1(e13) = op2(e20,e20),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f276,plain,
h2(e12) = e21,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f277,plain,
h2(e10) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f278,plain,
h2(e11) = op2(op2(op2(e21,e21),op2(e21,e21)),op2(e21,e21)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f279,plain,
h2(e13) = op2(e21,e21),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f280,plain,
h3(e12) = e22,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f281,plain,
h3(e10) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f282,plain,
h3(e11) = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f283,plain,
h3(e13) = op2(e22,e22),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f284,plain,
h4(e12) = e23,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f285,plain,
h4(e10) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f286,plain,
h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f287,plain,
h4(e13) = op2(e23,e23),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f288,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(f289,plain,
( pd0_8
=> ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f290,plain,
( pd0_9
=> ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f291,plain,
( pd0_10
=> ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f292,plain,
( pd0_11
=> ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f293,plain,
( pd0_12
=> ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f294,plain,
( pd0_13
=> ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f295,plain,
( pd0_14
=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f296,plain,
( pd0_15
=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f297,plain,
( pd0_16
=> ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f298,plain,
( pd0_17
=> ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
introduced(predicate_definition,[f288]) ).
fof(f299,plain,
( pd0_18
=> ( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21 ) ),
introduced(predicate_definition,[f288]) ).
fof(f300,plain,
( pd0_19
=> ( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 ) ),
introduced(predicate_definition,[f288]) ).
fof(f301,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_8
| pd0_9
| pd0_10
| ( 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_11
| pd0_12
| pd0_13
| ( 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_14
| pd0_15
| pd0_16
| ( 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_17
| pd0_18
| pd0_19
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) ) ),
inference(formula_renaming,[status(thm)],[f288,f300,f299,f298,f297,f296,f295,f294,f293,f292,f291,f290,f289]) ).
fof(f313,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| pd0_14
| pd0_15
| pd0_16
| h3(e13) != e23 ),
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f318,plain,
( ~ pd0_0
| ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 )
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f240]) ).
fof(f319,plain,
( pd0_20
=> ( ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 ) ) ),
introduced(predicate_definition,[f318]) ).
fof(f320,plain,
( ~ pd0_0
| pd0_20
| ( op1(e12,e10) = e12
& op1(e10,e12) != e10 ) ),
inference(formula_renaming,[status(thm)],[f318,f319]) ).
fof(f321,plain,
( ~ pd0_0
| pd0_20
| op1(e12,e10) = e12 ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f322,plain,
( ~ pd0_0
| pd0_20
| op1(e10,e12) != e10 ),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f323,plain,
( ~ pd0_1
| ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f241]) ).
fof(f324,plain,
( pd0_21
=> ( ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 ) ) ),
introduced(predicate_definition,[f323]) ).
fof(f325,plain,
( ~ pd0_1
| pd0_21
| ( op1(e12,e11) = e12
& op1(e11,e12) != e11 ) ),
inference(formula_renaming,[status(thm)],[f323,f324]) ).
fof(f326,plain,
( ~ pd0_1
| pd0_21
| op1(e12,e11) = e12 ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f328,plain,
( ~ pd0_2
| ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 )
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f242]) ).
fof(f329,plain,
( pd0_22
=> ( ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 ) ) ),
introduced(predicate_definition,[f328]) ).
fof(f330,plain,
( ~ pd0_2
| pd0_22
| ( op1(e12,e12) = e12
& op1(e12,e12) != e12 ) ),
inference(formula_renaming,[status(thm)],[f328,f329]) ).
fof(f331,plain,
( ~ pd0_2
| pd0_22
| op1(e12,e12) = e12 ),
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f333,plain,
( ~ pd0_3
| ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f243]) ).
fof(f334,plain,
( pd0_23
=> ( ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 ) ) ),
introduced(predicate_definition,[f333]) ).
fof(f335,plain,
( ~ pd0_3
| pd0_23
| ( op1(e12,e13) = e12
& op1(e13,e12) != e13 ) ),
inference(formula_renaming,[status(thm)],[f333,f334]) ).
fof(f337,plain,
( ~ pd0_3
| pd0_23
| op1(e13,e12) != e13 ),
inference(cnf_transformation,[status(esa)],[f335]) ).
fof(f338,plain,
( ~ pd0_4
| ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 )
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f253]) ).
fof(f339,plain,
( pd0_24
=> ( ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 ) ) ),
introduced(predicate_definition,[f338]) ).
fof(f340,plain,
( ~ pd0_4
| pd0_24
| ( op2(e22,e20) = e22
& op2(e20,e22) != e20 ) ),
inference(formula_renaming,[status(thm)],[f338,f339]) ).
fof(f341,plain,
( ~ pd0_4
| pd0_24
| op2(e22,e20) = e22 ),
inference(cnf_transformation,[status(esa)],[f340]) ).
fof(f343,plain,
( ~ pd0_5
| ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f254]) ).
fof(f344,plain,
( pd0_25
=> ( ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 ) ) ),
introduced(predicate_definition,[f343]) ).
fof(f345,plain,
( ~ pd0_5
| pd0_25
| ( op2(e22,e21) = e22
& op2(e21,e22) != e21 ) ),
inference(formula_renaming,[status(thm)],[f343,f344]) ).
fof(f346,plain,
( ~ pd0_5
| pd0_25
| op2(e22,e21) = e22 ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f348,plain,
( ~ pd0_6
| ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 )
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f255]) ).
fof(f349,plain,
( pd0_26
=> ( ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 ) ) ),
introduced(predicate_definition,[f348]) ).
fof(f350,plain,
( ~ pd0_6
| pd0_26
| ( op2(e22,e22) = e22
& op2(e22,e22) != e22 ) ),
inference(formula_renaming,[status(thm)],[f348,f349]) ).
fof(f351,plain,
( ~ pd0_6
| pd0_26
| op2(e22,e22) = e22 ),
inference(cnf_transformation,[status(esa)],[f350]) ).
fof(f353,plain,
( ~ pd0_7
| ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f256]) ).
fof(f354,plain,
( pd0_27
=> ( ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 ) ) ),
introduced(predicate_definition,[f353]) ).
fof(f355,plain,
( ~ pd0_7
| pd0_27
| ( op2(e22,e23) = e22
& op2(e23,e22) != e23 ) ),
inference(formula_renaming,[status(thm)],[f353,f354]) ).
fof(f356,plain,
( ~ pd0_7
| pd0_27
| op2(e22,e23) = e22 ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f357,plain,
( ~ pd0_7
| pd0_27
| op2(e23,e22) != e23 ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f358,plain,
( ~ pd0_8
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f289]) ).
fof(f361,plain,
( ~ pd0_8
| h1(e12) != e20 ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f378,plain,
( ~ pd0_12
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f293]) ).
fof(f381,plain,
( ~ pd0_12
| h2(e12) != e21 ),
inference(cnf_transformation,[status(esa)],[f378]) ).
fof(f383,plain,
( ~ pd0_13
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f294]) ).
fof(f387,plain,
( ~ pd0_13
| h2(e13) != e22 ),
inference(cnf_transformation,[status(esa)],[f383]) ).
fof(f388,plain,
( ~ pd0_14
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f295]) ).
fof(f389,plain,
( ~ pd0_14
| h3(e10) != e20 ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f393,plain,
( ~ pd0_15
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f296]) ).
fof(f395,plain,
( ~ pd0_15
| h3(e11) != e21 ),
inference(cnf_transformation,[status(esa)],[f393]) ).
fof(f398,plain,
( ~ pd0_16
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f297]) ).
fof(f401,plain,
( ~ pd0_16
| h3(e12) != e22 ),
inference(cnf_transformation,[status(esa)],[f398]) ).
fof(f403,plain,
( ~ pd0_17
| ( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f298]) ).
fof(f407,plain,
( ~ pd0_17
| h4(e13) != e20 ),
inference(cnf_transformation,[status(esa)],[f403]) ).
fof(f418,plain,
( ~ pd0_20
| ( op1(e10,e10) = e10
& op1(e10,e10) != e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f319]) ).
fof(f419,plain,
( pd0_28
=> ( op1(e10,e10) = e10
& op1(e10,e10) != e10 ) ),
introduced(predicate_definition,[f418]) ).
fof(f420,plain,
( ~ pd0_20
| pd0_28
| ( op1(e11,e10) = e11
& op1(e10,e11) != e10 ) ),
inference(formula_renaming,[status(thm)],[f418,f419]) ).
fof(f421,plain,
( ~ pd0_20
| pd0_28
| op1(e11,e10) = e11 ),
inference(cnf_transformation,[status(esa)],[f420]) ).
fof(f423,plain,
( ~ pd0_21
| ( op1(e10,e11) = e10
& op1(e11,e10) != e11 )
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f324]) ).
fof(f424,plain,
( pd0_29
=> ( op1(e10,e11) = e10
& op1(e11,e10) != e11 ) ),
introduced(predicate_definition,[f423]) ).
fof(f425,plain,
( ~ pd0_21
| pd0_29
| ( op1(e11,e11) = e11
& op1(e11,e11) != e11 ) ),
inference(formula_renaming,[status(thm)],[f423,f424]) ).
fof(f426,plain,
( ~ pd0_21
| pd0_29
| op1(e11,e11) = e11 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f427,plain,
( ~ pd0_21
| pd0_29
| op1(e11,e11) != e11 ),
inference(cnf_transformation,[status(esa)],[f425]) ).
fof(f428,plain,
( ~ pd0_22
| ( op1(e10,e12) = e10
& op1(e12,e10) != e12 )
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f329]) ).
fof(f429,plain,
( pd0_30
=> ( op1(e10,e12) = e10
& op1(e12,e10) != e12 ) ),
introduced(predicate_definition,[f428]) ).
fof(f430,plain,
( ~ pd0_22
| pd0_30
| ( op1(e11,e12) = e11
& op1(e12,e11) != e12 ) ),
inference(formula_renaming,[status(thm)],[f428,f429]) ).
fof(f431,plain,
( ~ pd0_22
| pd0_30
| op1(e11,e12) = e11 ),
inference(cnf_transformation,[status(esa)],[f430]) ).
fof(f433,plain,
( ~ pd0_23
| ( op1(e10,e13) = e10
& op1(e13,e10) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f334]) ).
fof(f434,plain,
( pd0_31
=> ( op1(e10,e13) = e10
& op1(e13,e10) != e13 ) ),
introduced(predicate_definition,[f433]) ).
fof(f435,plain,
( ~ pd0_23
| pd0_31
| ( op1(e11,e13) = e11
& op1(e13,e11) != e13 ) ),
inference(formula_renaming,[status(thm)],[f433,f434]) ).
fof(f436,plain,
( ~ pd0_23
| pd0_31
| op1(e11,e13) = e11 ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f438,plain,
( ~ pd0_24
| ( op2(e20,e20) = e20
& op2(e20,e20) != e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f339]) ).
fof(f439,plain,
( pd0_32
=> ( op2(e20,e20) = e20
& op2(e20,e20) != e20 ) ),
introduced(predicate_definition,[f438]) ).
fof(f440,plain,
( ~ pd0_24
| pd0_32
| ( op2(e21,e20) = e21
& op2(e20,e21) != e20 ) ),
inference(formula_renaming,[status(thm)],[f438,f439]) ).
fof(f441,plain,
( ~ pd0_24
| pd0_32
| op2(e21,e20) = e21 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f442,plain,
( ~ pd0_24
| pd0_32
| op2(e20,e21) != e20 ),
inference(cnf_transformation,[status(esa)],[f440]) ).
fof(f443,plain,
( ~ pd0_25
| ( op2(e20,e21) = e20
& op2(e21,e20) != e21 )
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f344]) ).
fof(f444,plain,
( pd0_33
=> ( op2(e20,e21) = e20
& op2(e21,e20) != e21 ) ),
introduced(predicate_definition,[f443]) ).
fof(f445,plain,
( ~ pd0_25
| pd0_33
| ( op2(e21,e21) = e21
& op2(e21,e21) != e21 ) ),
inference(formula_renaming,[status(thm)],[f443,f444]) ).
fof(f446,plain,
( ~ pd0_25
| pd0_33
| op2(e21,e21) = e21 ),
inference(cnf_transformation,[status(esa)],[f445]) ).
fof(f447,plain,
( ~ pd0_25
| pd0_33
| op2(e21,e21) != e21 ),
inference(cnf_transformation,[status(esa)],[f445]) ).
fof(f448,plain,
( ~ pd0_26
| ( op2(e20,e22) = e20
& op2(e22,e20) != e22 )
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f349]) ).
fof(f449,plain,
( pd0_34
=> ( op2(e20,e22) = e20
& op2(e22,e20) != e22 ) ),
introduced(predicate_definition,[f448]) ).
fof(f450,plain,
( ~ pd0_26
| pd0_34
| ( op2(e21,e22) = e21
& op2(e22,e21) != e22 ) ),
inference(formula_renaming,[status(thm)],[f448,f449]) ).
fof(f451,plain,
( ~ pd0_26
| pd0_34
| op2(e21,e22) = e21 ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f453,plain,
( ~ pd0_27
| ( op2(e20,e23) = e20
& op2(e23,e20) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f354]) ).
fof(f454,plain,
( pd0_35
=> ( op2(e20,e23) = e20
& op2(e23,e20) != e23 ) ),
introduced(predicate_definition,[f453]) ).
fof(f455,plain,
( ~ pd0_27
| pd0_35
| ( op2(e21,e23) = e21
& op2(e23,e21) != e23 ) ),
inference(formula_renaming,[status(thm)],[f453,f454]) ).
fof(f456,plain,
( ~ pd0_27
| pd0_35
| op2(e21,e23) = e21 ),
inference(cnf_transformation,[status(esa)],[f455]) ).
fof(f458,plain,
( ~ pd0_28
| ( op1(e10,e10) = e10
& op1(e10,e10) != e10 ) ),
inference(pre_NNF_transformation,[status(esa)],[f419]) ).
fof(f459,plain,
( ~ pd0_28
| op1(e10,e10) = e10 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f460,plain,
( ~ pd0_28
| op1(e10,e10) != e10 ),
inference(cnf_transformation,[status(esa)],[f458]) ).
fof(f461,plain,
( ~ pd0_29
| ( op1(e10,e11) = e10
& op1(e11,e10) != e11 ) ),
inference(pre_NNF_transformation,[status(esa)],[f424]) ).
fof(f462,plain,
( ~ pd0_29
| op1(e10,e11) = e10 ),
inference(cnf_transformation,[status(esa)],[f461]) ).
fof(f464,plain,
( ~ pd0_30
| ( op1(e10,e12) = e10
& op1(e12,e10) != e12 ) ),
inference(pre_NNF_transformation,[status(esa)],[f429]) ).
fof(f465,plain,
( ~ pd0_30
| op1(e10,e12) = e10 ),
inference(cnf_transformation,[status(esa)],[f464]) ).
fof(f466,plain,
( ~ pd0_30
| op1(e12,e10) != e12 ),
inference(cnf_transformation,[status(esa)],[f464]) ).
fof(f467,plain,
( ~ pd0_31
| ( op1(e10,e13) = e10
& op1(e13,e10) != e13 ) ),
inference(pre_NNF_transformation,[status(esa)],[f434]) ).
fof(f468,plain,
( ~ pd0_31
| op1(e10,e13) = e10 ),
inference(cnf_transformation,[status(esa)],[f467]) ).
fof(f470,plain,
( ~ pd0_32
| ( op2(e20,e20) = e20
& op2(e20,e20) != e20 ) ),
inference(pre_NNF_transformation,[status(esa)],[f439]) ).
fof(f471,plain,
( ~ pd0_32
| op2(e20,e20) = e20 ),
inference(cnf_transformation,[status(esa)],[f470]) ).
fof(f472,plain,
( ~ pd0_32
| op2(e20,e20) != e20 ),
inference(cnf_transformation,[status(esa)],[f470]) ).
fof(f473,plain,
( ~ pd0_33
| ( op2(e20,e21) = e20
& op2(e21,e20) != e21 ) ),
inference(pre_NNF_transformation,[status(esa)],[f444]) ).
fof(f474,plain,
( ~ pd0_33
| op2(e20,e21) = e20 ),
inference(cnf_transformation,[status(esa)],[f473]) ).
fof(f475,plain,
( ~ pd0_33
| op2(e21,e20) != e21 ),
inference(cnf_transformation,[status(esa)],[f473]) ).
fof(f476,plain,
( ~ pd0_34
| ( op2(e20,e22) = e20
& op2(e22,e20) != e22 ) ),
inference(pre_NNF_transformation,[status(esa)],[f449]) ).
fof(f477,plain,
( ~ pd0_34
| op2(e20,e22) = e20 ),
inference(cnf_transformation,[status(esa)],[f476]) ).
fof(f479,plain,
( ~ pd0_35
| ( op2(e20,e23) = e20
& op2(e23,e20) != e23 ) ),
inference(pre_NNF_transformation,[status(esa)],[f454]) ).
fof(f480,plain,
( ~ pd0_35
| op2(e20,e23) = e20 ),
inference(cnf_transformation,[status(esa)],[f479]) ).
fof(f482,plain,
( spl0_0
<=> op1(e10,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f483,plain,
( op1(e10,e10) = e10
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( spl0_1
<=> op1(e10,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f486,plain,
( op1(e10,e10) = e11
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( spl0_2
<=> op1(e10,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( spl0_3
<=> op1(e10,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( op1(e10,e10) = e13
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f20,f482,f485,f488,f491]) ).
fof(f495,plain,
( spl0_4
<=> op1(e10,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( spl0_6
<=> op1(e10,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( op1(e10,e11) = e12
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( spl0_7
<=> op1(e10,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( op1(e10,e11) = e13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f508,plain,
( spl0_8
<=> op1(e10,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( op1(e10,e12) = e10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( spl0_9
<=> op1(e10,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( op1(e10,e12) = e11
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( spl0_10
<=> op1(e10,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( op1(e10,e12) = e12
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f521,plain,
( spl0_12
<=> op1(e10,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( op1(e10,e13) = e10
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( spl0_13
<=> op1(e10,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( op1(e10,e13) = e11
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f524]) ).
fof(f527,plain,
( spl0_14
<=> op1(e10,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( op1(e10,e13) = e12
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f527]) ).
fof(f530,plain,
( spl0_15
<=> op1(e10,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f531,plain,
( op1(e10,e13) = e13
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f537,plain,
( spl0_17
<=> op1(e11,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f538,plain,
( op1(e11,e10) = e11
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f537]) ).
fof(f547,plain,
( spl0_20
<=> op1(e11,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( op1(e11,e11) = e10
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( spl0_21
<=> op1(e11,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f551,plain,
( op1(e11,e11) = e11
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( spl0_22
<=> op1(e11,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f560,plain,
( spl0_24
<=> op1(e11,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( op1(e11,e12) = e10
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f560]) ).
fof(f563,plain,
( spl0_25
<=> op1(e11,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( op1(e11,e12) = e11
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f563]) ).
fof(f566,plain,
( spl0_26
<=> op1(e11,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f567,plain,
( op1(e11,e12) = e12
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_27
<=> op1(e11,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( op1(e11,e12) = e13
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f576,plain,
( spl0_29
<=> op1(e11,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f577,plain,
( op1(e11,e13) = e11
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f576]) ).
fof(f579,plain,
( spl0_30
<=> op1(e11,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f580,plain,
( op1(e11,e13) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f579]) ).
fof(f582,plain,
( spl0_31
<=> op1(e11,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( op1(e11,e13) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f586,plain,
( spl0_32
<=> op1(e12,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f587,plain,
( op1(e12,e10) = e10
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f586]) ).
fof(f589,plain,
( spl0_33
<=> op1(e12,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f590,plain,
( op1(e12,e10) = e11
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( spl0_34
<=> op1(e12,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f595,plain,
( spl0_35
<=> op1(e12,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f596,plain,
( op1(e12,e10) = e13
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f28,f586,f589,f592,f595]) ).
fof(f599,plain,
( spl0_36
<=> op1(e12,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f602,plain,
( spl0_37
<=> op1(e12,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( op1(e12,e11) = e11
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( spl0_38
<=> op1(e12,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f608,plain,
( spl0_39
<=> op1(e12,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f609,plain,
( op1(e12,e11) = e13
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f612,plain,
( spl0_40
<=> op1(e12,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( op1(e12,e12) = e10
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f612]) ).
fof(f615,plain,
( spl0_41
<=> op1(e12,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f616,plain,
( op1(e12,e12) = e11
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,plain,
( spl0_42
<=> op1(e12,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f619,plain,
( op1(e12,e12) = e12
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( spl0_43
<=> op1(e12,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f624,plain,
( spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(split_clause,[status(thm)],[f30,f612,f615,f618,f621]) ).
fof(f625,plain,
( spl0_44
<=> op1(e12,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f626,plain,
( op1(e12,e13) = e10
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( spl0_45
<=> op1(e12,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f629,plain,
( op1(e12,e13) = e11
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( spl0_46
<=> op1(e12,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f632,plain,
( op1(e12,e13) = e12
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f631]) ).
fof(f634,plain,
( spl0_47
<=> op1(e12,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f635,plain,
( op1(e12,e13) = e13
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f634]) ).
fof(f638,plain,
( spl0_48
<=> op1(e13,e10) = e10 ),
introduced(split_symbol_definition) ).
fof(f639,plain,
( op1(e13,e10) = e10
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f638]) ).
fof(f641,plain,
( spl0_49
<=> op1(e13,e10) = e11 ),
introduced(split_symbol_definition) ).
fof(f644,plain,
( spl0_50
<=> op1(e13,e10) = e12 ),
introduced(split_symbol_definition) ).
fof(f645,plain,
( op1(e13,e10) = e12
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( spl0_51
<=> op1(e13,e10) = e13 ),
introduced(split_symbol_definition) ).
fof(f648,plain,
( op1(e13,e10) = e13
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f651,plain,
( spl0_52
<=> op1(e13,e11) = e10 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( op1(e13,e11) = e10
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( spl0_53
<=> op1(e13,e11) = e11 ),
introduced(split_symbol_definition) ).
fof(f655,plain,
( op1(e13,e11) = e11
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f654]) ).
fof(f657,plain,
( spl0_54
<=> op1(e13,e11) = e12 ),
introduced(split_symbol_definition) ).
fof(f658,plain,
( op1(e13,e11) = e12
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f657]) ).
fof(f660,plain,
( spl0_55
<=> op1(e13,e11) = e13 ),
introduced(split_symbol_definition) ).
fof(f661,plain,
( op1(e13,e11) = e13
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f664,plain,
( spl0_56
<=> op1(e13,e12) = e10 ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( op1(e13,e12) = e10
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f667,plain,
( spl0_57
<=> op1(e13,e12) = e11 ),
introduced(split_symbol_definition) ).
fof(f668,plain,
( op1(e13,e12) = e11
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f667]) ).
fof(f670,plain,
( spl0_58
<=> op1(e13,e12) = e12 ),
introduced(split_symbol_definition) ).
fof(f671,plain,
( op1(e13,e12) = e12
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,plain,
( spl0_59
<=> op1(e13,e12) = e13 ),
introduced(split_symbol_definition) ).
fof(f677,plain,
( spl0_60
<=> op1(e13,e13) = e10 ),
introduced(split_symbol_definition) ).
fof(f678,plain,
( op1(e13,e13) = e10
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f680,plain,
( spl0_61
<=> op1(e13,e13) = e11 ),
introduced(split_symbol_definition) ).
fof(f681,plain,
( op1(e13,e13) = e11
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( spl0_62
<=> op1(e13,e13) = e12 ),
introduced(split_symbol_definition) ).
fof(f684,plain,
( op1(e13,e13) = e12
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f686,plain,
( spl0_63
<=> op1(e13,e13) = e13 ),
introduced(split_symbol_definition) ).
fof(f687,plain,
( op1(e13,e13) = e13
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f686]) ).
fof(f689,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f35,f677,f680,f683,f686]) ).
fof(f694,plain,
( spl0_2
| spl0_6
| spl0_10
| spl0_14 ),
inference(split_clause,[status(thm)],[f40,f488,f501,f514,f527]) ).
fof(f699,plain,
( spl0_4
| spl0_20
| spl0_36
| spl0_52 ),
inference(split_clause,[status(thm)],[f45,f495,f547,f599,f651]) ).
fof(f707,plain,
( spl0_8
| spl0_24
| spl0_40
| spl0_56 ),
inference(split_clause,[status(thm)],[f53,f508,f560,f612,f664]) ).
fof(f708,plain,
( spl0_33
| spl0_37
| spl0_41
| spl0_45 ),
inference(split_clause,[status(thm)],[f54,f589,f602,f615,f628]) ).
fof(f709,plain,
( spl0_9
| spl0_25
| spl0_41
| spl0_57 ),
inference(split_clause,[status(thm)],[f55,f511,f563,f615,f667]) ).
fof(f711,plain,
( spl0_10
| spl0_26
| spl0_42
| spl0_58 ),
inference(split_clause,[status(thm)],[f57,f514,f566,f618,f670]) ).
fof(f717,plain,
( spl0_13
| spl0_29
| spl0_45
| spl0_61 ),
inference(split_clause,[status(thm)],[f63,f524,f576,f628,f680]) ).
fof(f718,plain,
( spl0_50
| spl0_54
| spl0_58
| spl0_62 ),
inference(split_clause,[status(thm)],[f64,f644,f657,f670,f683]) ).
fof(f719,plain,
( spl0_14
| spl0_30
| spl0_46
| spl0_62 ),
inference(split_clause,[status(thm)],[f65,f527,f579,f631,f683]) ).
fof(f721,plain,
( spl0_15
| spl0_31
| spl0_47
| spl0_63 ),
inference(split_clause,[status(thm)],[f67,f530,f582,f634,f686]) ).
fof(f722,plain,
( spl0_64
<=> op2(e20,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f723,plain,
( op2(e20,e20) = e20
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,plain,
( spl0_65
<=> op2(e20,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f726,plain,
( op2(e20,e20) = e21
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f728,plain,
( spl0_66
<=> op2(e20,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f729,plain,
( op2(e20,e20) = e22
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f728]) ).
fof(f731,plain,
( spl0_67
<=> op2(e20,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f732,plain,
( op2(e20,e20) = e23
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f731]) ).
fof(f734,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f68,f722,f725,f728,f731]) ).
fof(f735,plain,
( spl0_68
<=> op2(e20,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f738,plain,
( spl0_69
<=> op2(e20,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f739,plain,
( op2(e20,e21) = e21
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f738]) ).
fof(f741,plain,
( spl0_70
<=> op2(e20,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f742,plain,
( op2(e20,e21) = e22
| ~ spl0_70 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f744,plain,
( spl0_71
<=> op2(e20,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f745,plain,
( op2(e20,e21) = e23
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f744]) ).
fof(f747,plain,
( spl0_68
| spl0_69
| spl0_70
| spl0_71 ),
inference(split_clause,[status(thm)],[f69,f735,f738,f741,f744]) ).
fof(f748,plain,
( spl0_72
<=> op2(e20,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f749,plain,
( op2(e20,e22) = e20
| ~ spl0_72 ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,plain,
( spl0_73
<=> op2(e20,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f752,plain,
( op2(e20,e22) = e21
| ~ spl0_73 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( spl0_74
<=> op2(e20,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f755,plain,
( op2(e20,e22) = e22
| ~ spl0_74 ),
inference(component_clause,[status(thm)],[f754]) ).
fof(f757,plain,
( spl0_75
<=> op2(e20,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f758,plain,
( op2(e20,e22) = e23
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f757]) ).
fof(f761,plain,
( spl0_76
<=> op2(e20,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f762,plain,
( op2(e20,e23) = e20
| ~ spl0_76 ),
inference(component_clause,[status(thm)],[f761]) ).
fof(f764,plain,
( spl0_77
<=> op2(e20,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f765,plain,
( op2(e20,e23) = e21
| ~ spl0_77 ),
inference(component_clause,[status(thm)],[f764]) ).
fof(f767,plain,
( spl0_78
<=> op2(e20,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f768,plain,
( op2(e20,e23) = e22
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f767]) ).
fof(f770,plain,
( spl0_79
<=> op2(e20,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f771,plain,
( op2(e20,e23) = e23
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f774,plain,
( spl0_80
<=> op2(e21,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f775,plain,
( op2(e21,e20) = e20
| ~ spl0_80 ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,plain,
( spl0_81
<=> op2(e21,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f778,plain,
( op2(e21,e20) = e21
| ~ spl0_81 ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( spl0_82
<=> op2(e21,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( op2(e21,e20) = e22
| ~ spl0_82 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f783,plain,
( spl0_83
<=> op2(e21,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f784,plain,
( op2(e21,e20) = e23
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f783]) ).
fof(f787,plain,
( spl0_84
<=> op2(e21,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f788,plain,
( op2(e21,e21) = e20
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f787]) ).
fof(f790,plain,
( spl0_85
<=> op2(e21,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( op2(e21,e21) = e21
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f793,plain,
( spl0_86
<=> op2(e21,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f794,plain,
( op2(e21,e21) = e22
| ~ spl0_86 ),
inference(component_clause,[status(thm)],[f793]) ).
fof(f796,plain,
( spl0_87
<=> op2(e21,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f797,plain,
( op2(e21,e21) = e23
| ~ spl0_87 ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f800,plain,
( spl0_88
<=> op2(e21,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f801,plain,
( op2(e21,e22) = e20
| ~ spl0_88 ),
inference(component_clause,[status(thm)],[f800]) ).
fof(f803,plain,
( spl0_89
<=> op2(e21,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f804,plain,
( op2(e21,e22) = e21
| ~ spl0_89 ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,plain,
( spl0_90
<=> op2(e21,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f807,plain,
( op2(e21,e22) = e22
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,plain,
( spl0_91
<=> op2(e21,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f810,plain,
( op2(e21,e22) = e23
| ~ spl0_91 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f813,plain,
( spl0_92
<=> op2(e21,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f814,plain,
( op2(e21,e23) = e20
| ~ spl0_92 ),
inference(component_clause,[status(thm)],[f813]) ).
fof(f816,plain,
( spl0_93
<=> op2(e21,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( op2(e21,e23) = e21
| ~ spl0_93 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( spl0_94
<=> op2(e21,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f822,plain,
( spl0_95
<=> op2(e21,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( op2(e21,e23) = e23
| ~ spl0_95 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95 ),
inference(split_clause,[status(thm)],[f75,f813,f816,f819,f822]) ).
fof(f826,plain,
( spl0_96
<=> op2(e22,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f827,plain,
( op2(e22,e20) = e20
| ~ spl0_96 ),
inference(component_clause,[status(thm)],[f826]) ).
fof(f829,plain,
( spl0_97
<=> op2(e22,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f830,plain,
( op2(e22,e20) = e21
| ~ spl0_97 ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,plain,
( spl0_98
<=> op2(e22,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f835,plain,
( spl0_99
<=> op2(e22,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f836,plain,
( op2(e22,e20) = e23
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f839,plain,
( spl0_100
<=> op2(e22,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f840,plain,
( op2(e22,e21) = e20
| ~ spl0_100 ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( spl0_101
<=> op2(e22,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f843,plain,
( op2(e22,e21) = e21
| ~ spl0_101 ),
inference(component_clause,[status(thm)],[f842]) ).
fof(f845,plain,
( spl0_102
<=> op2(e22,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f846,plain,
( op2(e22,e21) = e22
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,plain,
( spl0_103
<=> op2(e22,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f849,plain,
( op2(e22,e21) = e23
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f852,plain,
( spl0_104
<=> op2(e22,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f853,plain,
( op2(e22,e22) = e20
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,plain,
( spl0_105
<=> op2(e22,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f856,plain,
( op2(e22,e22) = e21
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( spl0_106
<=> op2(e22,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f859,plain,
( op2(e22,e22) = e22
| ~ spl0_106 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( spl0_107
<=> op2(e22,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f864,plain,
( spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(split_clause,[status(thm)],[f78,f852,f855,f858,f861]) ).
fof(f865,plain,
( spl0_108
<=> op2(e22,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f866,plain,
( op2(e22,e23) = e20
| ~ spl0_108 ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f868,plain,
( spl0_109
<=> op2(e22,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f869,plain,
( op2(e22,e23) = e21
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f868]) ).
fof(f871,plain,
( spl0_110
<=> op2(e22,e23) = e22 ),
introduced(split_symbol_definition) ).
fof(f872,plain,
( op2(e22,e23) = e22
| ~ spl0_110 ),
inference(component_clause,[status(thm)],[f871]) ).
fof(f874,plain,
( spl0_111
<=> op2(e22,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f875,plain,
( op2(e22,e23) = e23
| ~ spl0_111 ),
inference(component_clause,[status(thm)],[f874]) ).
fof(f878,plain,
( spl0_112
<=> op2(e23,e20) = e20 ),
introduced(split_symbol_definition) ).
fof(f879,plain,
( op2(e23,e20) = e20
| ~ spl0_112 ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( spl0_113
<=> op2(e23,e20) = e21 ),
introduced(split_symbol_definition) ).
fof(f882,plain,
( op2(e23,e20) = e21
| ~ spl0_113 ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( spl0_114
<=> op2(e23,e20) = e22 ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( op2(e23,e20) = e22
| ~ spl0_114 ),
inference(component_clause,[status(thm)],[f884]) ).
fof(f887,plain,
( spl0_115
<=> op2(e23,e20) = e23 ),
introduced(split_symbol_definition) ).
fof(f888,plain,
( op2(e23,e20) = e23
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( spl0_112
| spl0_113
| spl0_114
| spl0_115 ),
inference(split_clause,[status(thm)],[f80,f878,f881,f884,f887]) ).
fof(f891,plain,
( spl0_116
<=> op2(e23,e21) = e20 ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( op2(e23,e21) = e20
| ~ spl0_116 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,plain,
( spl0_117
<=> op2(e23,e21) = e21 ),
introduced(split_symbol_definition) ).
fof(f895,plain,
( op2(e23,e21) = e21
| ~ spl0_117 ),
inference(component_clause,[status(thm)],[f894]) ).
fof(f897,plain,
( spl0_118
<=> op2(e23,e21) = e22 ),
introduced(split_symbol_definition) ).
fof(f898,plain,
( op2(e23,e21) = e22
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f897]) ).
fof(f900,plain,
( spl0_119
<=> op2(e23,e21) = e23 ),
introduced(split_symbol_definition) ).
fof(f901,plain,
( op2(e23,e21) = e23
| ~ spl0_119 ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f904,plain,
( spl0_120
<=> op2(e23,e22) = e20 ),
introduced(split_symbol_definition) ).
fof(f905,plain,
( op2(e23,e22) = e20
| ~ spl0_120 ),
inference(component_clause,[status(thm)],[f904]) ).
fof(f907,plain,
( spl0_121
<=> op2(e23,e22) = e21 ),
introduced(split_symbol_definition) ).
fof(f908,plain,
( op2(e23,e22) = e21
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f907]) ).
fof(f910,plain,
( spl0_122
<=> op2(e23,e22) = e22 ),
introduced(split_symbol_definition) ).
fof(f911,plain,
( op2(e23,e22) = e22
| ~ spl0_122 ),
inference(component_clause,[status(thm)],[f910]) ).
fof(f913,plain,
( spl0_123
<=> op2(e23,e22) = e23 ),
introduced(split_symbol_definition) ).
fof(f917,plain,
( spl0_124
<=> op2(e23,e23) = e20 ),
introduced(split_symbol_definition) ).
fof(f918,plain,
( op2(e23,e23) = e20
| ~ spl0_124 ),
inference(component_clause,[status(thm)],[f917]) ).
fof(f920,plain,
( spl0_125
<=> op2(e23,e23) = e21 ),
introduced(split_symbol_definition) ).
fof(f921,plain,
( op2(e23,e23) = e21
| ~ spl0_125 ),
inference(component_clause,[status(thm)],[f920]) ).
fof(f926,plain,
( spl0_127
<=> op2(e23,e23) = e23 ),
introduced(split_symbol_definition) ).
fof(f927,plain,
( op2(e23,e23) = e23
| ~ spl0_127 ),
inference(component_clause,[status(thm)],[f926]) ).
fof(f930,plain,
( spl0_64
| spl0_68
| spl0_72
| spl0_76 ),
inference(split_clause,[status(thm)],[f84,f722,f735,f748,f761]) ).
fof(f931,plain,
( spl0_64
| spl0_80
| spl0_96
| spl0_112 ),
inference(split_clause,[status(thm)],[f85,f722,f774,f826,f878]) ).
fof(f934,plain,
( spl0_66
| spl0_70
| spl0_74
| spl0_78 ),
inference(split_clause,[status(thm)],[f88,f728,f741,f754,f767]) ).
fof(f937,plain,
( spl0_67
| spl0_83
| spl0_99
| spl0_115 ),
inference(split_clause,[status(thm)],[f91,f731,f783,f835,f887]) ).
fof(f938,plain,
( spl0_80
| spl0_84
| spl0_88
| spl0_92 ),
inference(split_clause,[status(thm)],[f92,f774,f787,f800,f813]) ).
fof(f939,plain,
( spl0_68
| spl0_84
| spl0_100
| spl0_116 ),
inference(split_clause,[status(thm)],[f93,f735,f787,f839,f891]) ).
fof(f940,plain,
( spl0_81
| spl0_85
| spl0_89
| spl0_93 ),
inference(split_clause,[status(thm)],[f94,f777,f790,f803,f816]) ).
fof(f941,plain,
( spl0_69
| spl0_85
| spl0_101
| spl0_117 ),
inference(split_clause,[status(thm)],[f95,f738,f790,f842,f894]) ).
fof(f942,plain,
( spl0_82
| spl0_86
| spl0_90
| spl0_94 ),
inference(split_clause,[status(thm)],[f96,f780,f793,f806,f819]) ).
fof(f943,plain,
( spl0_70
| spl0_86
| spl0_102
| spl0_118 ),
inference(split_clause,[status(thm)],[f97,f741,f793,f845,f897]) ).
fof(f946,plain,
( spl0_96
| spl0_100
| spl0_104
| spl0_108 ),
inference(split_clause,[status(thm)],[f100,f826,f839,f852,f865]) ).
fof(f947,plain,
( spl0_72
| spl0_88
| spl0_104
| spl0_120 ),
inference(split_clause,[status(thm)],[f101,f748,f800,f852,f904]) ).
fof(f948,plain,
( spl0_97
| spl0_101
| spl0_105
| spl0_109 ),
inference(split_clause,[status(thm)],[f102,f829,f842,f855,f868]) ).
fof(f949,plain,
( spl0_73
| spl0_89
| spl0_105
| spl0_121 ),
inference(split_clause,[status(thm)],[f103,f751,f803,f855,f907]) ).
fof(f954,plain,
( spl0_112
| spl0_116
| spl0_120
| spl0_124 ),
inference(split_clause,[status(thm)],[f108,f878,f891,f904,f917]) ).
fof(f956,plain,
( spl0_113
| spl0_117
| spl0_121
| spl0_125 ),
inference(split_clause,[status(thm)],[f110,f881,f894,f907,f920]) ).
fof(f957,plain,
( spl0_77
| spl0_93
| spl0_109
| spl0_125 ),
inference(split_clause,[status(thm)],[f111,f764,f816,f868,f920]) ).
fof(f962,plain,
( spl0_128
<=> pd0_0 ),
introduced(split_symbol_definition) ).
fof(f965,plain,
( spl0_128
| spl0_51 ),
inference(split_clause,[status(thm)],[f245,f962,f647]) ).
fof(f967,plain,
( spl0_129
<=> pd0_1 ),
introduced(split_symbol_definition) ).
fof(f970,plain,
( spl0_129
| spl0_55 ),
inference(split_clause,[status(thm)],[f247,f967,f660]) ).
fof(f972,plain,
( spl0_130
<=> pd0_2 ),
introduced(split_symbol_definition) ).
fof(f976,plain,
( spl0_130
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f250,f972,f631]) ).
fof(f977,plain,
( spl0_131
<=> pd0_3 ),
introduced(split_symbol_definition) ).
fof(f980,plain,
( spl0_131
| spl0_63 ),
inference(split_clause,[status(thm)],[f251,f977,f686]) ).
fof(f982,plain,
( spl0_132
<=> pd0_4 ),
introduced(split_symbol_definition) ).
fof(f985,plain,
( spl0_132
| spl0_115 ),
inference(split_clause,[status(thm)],[f258,f982,f887]) ).
fof(f987,plain,
( spl0_133
<=> pd0_5 ),
introduced(split_symbol_definition) ).
fof(f990,plain,
( spl0_133
| spl0_119 ),
inference(split_clause,[status(thm)],[f260,f987,f900]) ).
fof(f992,plain,
( spl0_134
<=> pd0_6 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( spl0_134
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f263,f992,f871]) ).
fof(f997,plain,
( spl0_135
<=> pd0_7 ),
introduced(split_symbol_definition) ).
fof(f1000,plain,
( spl0_135
| spl0_127 ),
inference(split_clause,[status(thm)],[f264,f997,f926]) ).
fof(f1032,plain,
( spl0_146
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(split_symbol_definition) ).
fof(f1034,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl0_146 ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1047,plain,
( spl0_151
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(split_symbol_definition) ).
fof(f1049,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl0_151 ),
inference(component_clause,[status(thm)],[f1047]) ).
fof(f1050,plain,
( spl0_152
<=> pd0_8 ),
introduced(split_symbol_definition) ).
fof(f1071,plain,
( spl0_158
<=> h1(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1073,plain,
( h1(e13) != e23
| spl0_158 ),
inference(component_clause,[status(thm)],[f1071]) ).
fof(f1084,plain,
( spl0_162
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1086,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl0_162 ),
inference(component_clause,[status(thm)],[f1084]) ).
fof(f1105,plain,
( spl0_169
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(split_symbol_definition) ).
fof(f1107,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl0_169 ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1120,plain,
( spl0_174
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(split_symbol_definition) ).
fof(f1121,plain,
( h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
| ~ spl0_174 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1122,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl0_174 ),
inference(component_clause,[status(thm)],[f1120]) ).
fof(f1126,plain,
( spl0_176
<=> pd0_12 ),
introduced(split_symbol_definition) ).
fof(f1129,plain,
( spl0_177
<=> pd0_13 ),
introduced(split_symbol_definition) ).
fof(f1132,plain,
( spl0_178
<=> h2(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f1134,plain,
( h2(e10) != e23
| spl0_178 ),
inference(component_clause,[status(thm)],[f1132]) ).
fof(f1148,plain,
( spl0_182
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1150,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl0_182 ),
inference(component_clause,[status(thm)],[f1148]) ).
fof(f1151,plain,
( spl0_183
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1153,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl0_183 ),
inference(component_clause,[status(thm)],[f1151]) ).
fof(f1154,plain,
( spl0_184
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1156,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl0_184 ),
inference(component_clause,[status(thm)],[f1154]) ).
fof(f1157,plain,
( spl0_185
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1159,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl0_185 ),
inference(component_clause,[status(thm)],[f1157]) ).
fof(f1160,plain,
( spl0_186
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1162,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl0_186 ),
inference(component_clause,[status(thm)],[f1160]) ).
fof(f1163,plain,
( spl0_187
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1165,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl0_187 ),
inference(component_clause,[status(thm)],[f1163]) ).
fof(f1166,plain,
( spl0_188
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1168,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl0_188 ),
inference(component_clause,[status(thm)],[f1166]) ).
fof(f1169,plain,
( spl0_189
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1171,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl0_189 ),
inference(component_clause,[status(thm)],[f1169]) ).
fof(f1172,plain,
( spl0_190
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1174,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl0_190 ),
inference(component_clause,[status(thm)],[f1172]) ).
fof(f1175,plain,
( spl0_191
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1177,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl0_191 ),
inference(component_clause,[status(thm)],[f1175]) ).
fof(f1178,plain,
( spl0_192
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1180,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl0_192 ),
inference(component_clause,[status(thm)],[f1178]) ).
fof(f1181,plain,
( spl0_193
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1183,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl0_193 ),
inference(component_clause,[status(thm)],[f1181]) ).
fof(f1184,plain,
( spl0_194
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(split_symbol_definition) ).
fof(f1185,plain,
( h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
| ~ spl0_194 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1186,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl0_194 ),
inference(component_clause,[status(thm)],[f1184]) ).
fof(f1187,plain,
( spl0_195
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(split_symbol_definition) ).
fof(f1189,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl0_195 ),
inference(component_clause,[status(thm)],[f1187]) ).
fof(f1190,plain,
( spl0_196
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(split_symbol_definition) ).
fof(f1192,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl0_196 ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( spl0_197
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(split_symbol_definition) ).
fof(f1195,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl0_197 ),
inference(component_clause,[status(thm)],[f1193]) ).
fof(f1196,plain,
( spl0_198
<=> pd0_14 ),
introduced(split_symbol_definition) ).
fof(f1199,plain,
( spl0_199
<=> pd0_15 ),
introduced(split_symbol_definition) ).
fof(f1202,plain,
( spl0_200
<=> pd0_16 ),
introduced(split_symbol_definition) ).
fof(f1217,plain,
( spl0_204
<=> h3(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f1219,plain,
( h3(e13) != e23
| spl0_204 ),
inference(component_clause,[status(thm)],[f1217]) ).
fof(f1220,plain,
( ~ spl0_182
| ~ spl0_183
| ~ spl0_184
| ~ spl0_185
| ~ spl0_186
| ~ spl0_187
| ~ spl0_188
| ~ spl0_189
| ~ spl0_190
| ~ spl0_191
| ~ spl0_192
| ~ spl0_193
| ~ spl0_194
| ~ spl0_195
| ~ spl0_196
| ~ spl0_197
| spl0_198
| spl0_199
| spl0_200
| ~ spl0_204 ),
inference(split_clause,[status(thm)],[f313,f1148,f1151,f1154,f1157,f1160,f1163,f1166,f1169,f1172,f1175,f1178,f1181,f1184,f1187,f1190,f1193,f1196,f1199,f1202,f1217]) ).
fof(f1230,plain,
( spl0_208
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1232,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl0_208 ),
inference(component_clause,[status(thm)],[f1230]) ).
fof(f1251,plain,
( spl0_215
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(split_symbol_definition) ).
fof(f1252,plain,
( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
| ~ spl0_215 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1253,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl0_215 ),
inference(component_clause,[status(thm)],[f1251]) ).
fof(f1266,plain,
( spl0_220
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(split_symbol_definition) ).
fof(f1268,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl0_220 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( spl0_221
<=> pd0_17 ),
introduced(split_symbol_definition) ).
fof(f1286,plain,
( spl0_226
<=> h4(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f1288,plain,
( h4(e12) != e23
| spl0_226 ),
inference(component_clause,[status(thm)],[f1286]) ).
fof(f1294,plain,
( spl0_228
<=> pd0_20 ),
introduced(split_symbol_definition) ).
fof(f1297,plain,
( ~ spl0_128
| spl0_228
| spl0_34 ),
inference(split_clause,[status(thm)],[f321,f962,f1294,f592]) ).
fof(f1298,plain,
( ~ spl0_128
| spl0_228
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f322,f962,f1294,f508]) ).
fof(f1299,plain,
( spl0_229
<=> pd0_21 ),
introduced(split_symbol_definition) ).
fof(f1302,plain,
( ~ spl0_129
| spl0_229
| spl0_38 ),
inference(split_clause,[status(thm)],[f326,f967,f1299,f605]) ).
fof(f1304,plain,
( spl0_230
<=> pd0_22 ),
introduced(split_symbol_definition) ).
fof(f1307,plain,
( ~ spl0_130
| spl0_230
| spl0_42 ),
inference(split_clause,[status(thm)],[f331,f972,f1304,f618]) ).
fof(f1309,plain,
( spl0_231
<=> pd0_23 ),
introduced(split_symbol_definition) ).
fof(f1313,plain,
( ~ spl0_131
| spl0_231
| ~ spl0_59 ),
inference(split_clause,[status(thm)],[f337,f977,f1309,f673]) ).
fof(f1314,plain,
( spl0_232
<=> pd0_24 ),
introduced(split_symbol_definition) ).
fof(f1317,plain,
( ~ spl0_132
| spl0_232
| spl0_98 ),
inference(split_clause,[status(thm)],[f341,f982,f1314,f832]) ).
fof(f1319,plain,
( spl0_233
<=> pd0_25 ),
introduced(split_symbol_definition) ).
fof(f1322,plain,
( ~ spl0_133
| spl0_233
| spl0_102 ),
inference(split_clause,[status(thm)],[f346,f987,f1319,f845]) ).
fof(f1324,plain,
( spl0_234
<=> pd0_26 ),
introduced(split_symbol_definition) ).
fof(f1327,plain,
( ~ spl0_134
| spl0_234
| spl0_106 ),
inference(split_clause,[status(thm)],[f351,f992,f1324,f858]) ).
fof(f1329,plain,
( spl0_235
<=> pd0_27 ),
introduced(split_symbol_definition) ).
fof(f1332,plain,
( ~ spl0_135
| spl0_235
| spl0_110 ),
inference(split_clause,[status(thm)],[f356,f997,f1329,f871]) ).
fof(f1333,plain,
( ~ spl0_135
| spl0_235
| ~ spl0_123 ),
inference(split_clause,[status(thm)],[f357,f997,f1329,f913]) ).
fof(f1342,plain,
( spl0_238
<=> h1(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f1344,plain,
( h1(e12) != e20
| spl0_238 ),
inference(component_clause,[status(thm)],[f1342]) ).
fof(f1345,plain,
( ~ spl0_152
| ~ spl0_238 ),
inference(split_clause,[status(thm)],[f361,f1050,f1342]) ).
fof(f1346,plain,
( spl0_239
<=> h1(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1348,plain,
( h1(e13) != e20
| spl0_239 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1378,plain,
( spl0_247
<=> h1(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1379,plain,
( h1(e13) = e22
| ~ spl0_247 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1380,plain,
( h1(e13) != e22
| spl0_247 ),
inference(component_clause,[status(thm)],[f1378]) ).
fof(f1394,plain,
( spl0_251
<=> h2(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1395,plain,
( h2(e13) = e20
| ~ spl0_251 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1396,plain,
( h2(e13) != e20
| spl0_251 ),
inference(component_clause,[status(thm)],[f1394]) ).
fof(f1406,plain,
( spl0_254
<=> h2(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f1408,plain,
( h2(e12) != e21
| spl0_254 ),
inference(component_clause,[status(thm)],[f1406]) ).
fof(f1409,plain,
( ~ spl0_176
| ~ spl0_254 ),
inference(split_clause,[status(thm)],[f381,f1126,f1406]) ).
fof(f1410,plain,
( spl0_255
<=> h2(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f1412,plain,
( h2(e13) != e21
| spl0_255 ),
inference(component_clause,[status(thm)],[f1410]) ).
fof(f1426,plain,
( spl0_259
<=> h2(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f1427,plain,
( h2(e13) = e22
| ~ spl0_259 ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1428,plain,
( h2(e13) != e22
| spl0_259 ),
inference(component_clause,[status(thm)],[f1426]) ).
fof(f1429,plain,
( ~ spl0_177
| ~ spl0_259 ),
inference(split_clause,[status(thm)],[f387,f1129,f1426]) ).
fof(f1430,plain,
( spl0_260
<=> h3(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f1432,plain,
( h3(e10) != e20
| spl0_260 ),
inference(component_clause,[status(thm)],[f1430]) ).
fof(f1433,plain,
( ~ spl0_198
| ~ spl0_260 ),
inference(split_clause,[status(thm)],[f389,f1196,f1430]) ).
fof(f1450,plain,
( spl0_265
<=> h3(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f1452,plain,
( h3(e11) != e21
| spl0_265 ),
inference(component_clause,[status(thm)],[f1450]) ).
fof(f1453,plain,
( ~ spl0_199
| ~ spl0_265 ),
inference(split_clause,[status(thm)],[f395,f1199,f1450]) ).
fof(f1470,plain,
( spl0_270
<=> h3(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f1472,plain,
( h3(e12) != e22
| spl0_270 ),
inference(component_clause,[status(thm)],[f1470]) ).
fof(f1473,plain,
( ~ spl0_200
| ~ spl0_270 ),
inference(split_clause,[status(thm)],[f401,f1202,f1470]) ).
fof(f1490,plain,
( spl0_275
<=> h4(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f1492,plain,
( h4(e13) != e20
| spl0_275 ),
inference(component_clause,[status(thm)],[f1490]) ).
fof(f1493,plain,
( ~ spl0_221
| ~ spl0_275 ),
inference(split_clause,[status(thm)],[f407,f1269,f1490]) ).
fof(f1526,plain,
( spl0_284
<=> pd0_28 ),
introduced(split_symbol_definition) ).
fof(f1529,plain,
( ~ spl0_228
| spl0_284
| spl0_17 ),
inference(split_clause,[status(thm)],[f421,f1294,f1526,f537]) ).
fof(f1531,plain,
( spl0_285
<=> pd0_29 ),
introduced(split_symbol_definition) ).
fof(f1534,plain,
( ~ spl0_229
| spl0_285
| spl0_21 ),
inference(split_clause,[status(thm)],[f426,f1299,f1531,f550]) ).
fof(f1535,plain,
( ~ spl0_229
| spl0_285
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f427,f1299,f1531,f550]) ).
fof(f1536,plain,
( spl0_286
<=> pd0_30 ),
introduced(split_symbol_definition) ).
fof(f1539,plain,
( ~ spl0_230
| spl0_286
| spl0_25 ),
inference(split_clause,[status(thm)],[f431,f1304,f1536,f563]) ).
fof(f1541,plain,
( spl0_287
<=> pd0_31 ),
introduced(split_symbol_definition) ).
fof(f1544,plain,
( ~ spl0_231
| spl0_287
| spl0_29 ),
inference(split_clause,[status(thm)],[f436,f1309,f1541,f576]) ).
fof(f1546,plain,
( spl0_288
<=> pd0_32 ),
introduced(split_symbol_definition) ).
fof(f1549,plain,
( ~ spl0_232
| spl0_288
| spl0_81 ),
inference(split_clause,[status(thm)],[f441,f1314,f1546,f777]) ).
fof(f1550,plain,
( ~ spl0_232
| spl0_288
| ~ spl0_68 ),
inference(split_clause,[status(thm)],[f442,f1314,f1546,f735]) ).
fof(f1551,plain,
( spl0_289
<=> pd0_33 ),
introduced(split_symbol_definition) ).
fof(f1554,plain,
( ~ spl0_233
| spl0_289
| spl0_85 ),
inference(split_clause,[status(thm)],[f446,f1319,f1551,f790]) ).
fof(f1555,plain,
( ~ spl0_233
| spl0_289
| ~ spl0_85 ),
inference(split_clause,[status(thm)],[f447,f1319,f1551,f790]) ).
fof(f1556,plain,
( spl0_290
<=> pd0_34 ),
introduced(split_symbol_definition) ).
fof(f1559,plain,
( ~ spl0_234
| spl0_290
| spl0_89 ),
inference(split_clause,[status(thm)],[f451,f1324,f1556,f803]) ).
fof(f1561,plain,
( spl0_291
<=> pd0_35 ),
introduced(split_symbol_definition) ).
fof(f1564,plain,
( ~ spl0_235
| spl0_291
| spl0_93 ),
inference(split_clause,[status(thm)],[f456,f1329,f1561,f816]) ).
fof(f1566,plain,
( ~ spl0_284
| spl0_0 ),
inference(split_clause,[status(thm)],[f459,f1526,f482]) ).
fof(f1567,plain,
( ~ spl0_284
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f460,f1526,f482]) ).
fof(f1568,plain,
( ~ spl0_285
| spl0_4 ),
inference(split_clause,[status(thm)],[f462,f1531,f495]) ).
fof(f1570,plain,
( ~ spl0_286
| spl0_8 ),
inference(split_clause,[status(thm)],[f465,f1536,f508]) ).
fof(f1571,plain,
( ~ spl0_286
| ~ spl0_34 ),
inference(split_clause,[status(thm)],[f466,f1536,f592]) ).
fof(f1572,plain,
( ~ spl0_287
| spl0_12 ),
inference(split_clause,[status(thm)],[f468,f1541,f521]) ).
fof(f1574,plain,
( ~ spl0_288
| spl0_64 ),
inference(split_clause,[status(thm)],[f471,f1546,f722]) ).
fof(f1575,plain,
( ~ spl0_288
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f472,f1546,f722]) ).
fof(f1576,plain,
( ~ spl0_289
| spl0_68 ),
inference(split_clause,[status(thm)],[f474,f1551,f735]) ).
fof(f1577,plain,
( ~ spl0_289
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f475,f1551,f777]) ).
fof(f1578,plain,
( ~ spl0_290
| spl0_72 ),
inference(split_clause,[status(thm)],[f477,f1556,f748]) ).
fof(f1580,plain,
( ~ spl0_291
| spl0_76 ),
inference(split_clause,[status(thm)],[f480,f1561,f761]) ).
fof(f1582,plain,
e11 = op1(e10,op1(e12,e12)),
inference(forward_demodulation,[status(thm)],[f266,f267]) ).
fof(f1583,plain,
e21 = op2(e20,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f269,f270]) ).
fof(f1585,plain,
h2(e11) = op2(h2(e10),op2(e21,e21)),
inference(forward_demodulation,[status(thm)],[f277,f278]) ).
fof(f1586,plain,
h3(e10) = e20,
inference(forward_demodulation,[status(thm)],[f269,f281]) ).
fof(f1587,plain,
h3(e11) = op2(e20,op2(e22,e22)),
inference(forward_demodulation,[status(thm)],[f269,f282]) ).
fof(f1588,plain,
h3(e11) = e21,
inference(forward_demodulation,[status(thm)],[f1583,f1587]) ).
fof(f1589,plain,
h3(e13) = e23,
inference(forward_demodulation,[status(thm)],[f271,f283]) ).
fof(f1590,plain,
h4(e11) = op2(h4(e10),op2(e23,e23)),
inference(forward_demodulation,[status(thm)],[f285,f286]) ).
fof(f1595,plain,
( e22 != e22
| spl0_270 ),
inference(forward_demodulation,[status(thm)],[f280,f1472]) ).
fof(f1596,plain,
( $false
| spl0_270 ),
inference(trivial_equality_resolution,[status(esa)],[f1595]) ).
fof(f1597,plain,
spl0_270,
inference(contradiction_clause,[status(thm)],[f1596]) ).
fof(f1602,plain,
( e21 != e21
| spl0_265 ),
inference(forward_demodulation,[status(thm)],[f1588,f1452]) ).
fof(f1603,plain,
( $false
| spl0_265 ),
inference(trivial_equality_resolution,[status(esa)],[f1602]) ).
fof(f1604,plain,
spl0_265,
inference(contradiction_clause,[status(thm)],[f1603]) ).
fof(f1609,plain,
( e20 != e20
| spl0_260 ),
inference(forward_demodulation,[status(thm)],[f1586,f1432]) ).
fof(f1610,plain,
( $false
| spl0_260 ),
inference(trivial_equality_resolution,[status(esa)],[f1609]) ).
fof(f1611,plain,
spl0_260,
inference(contradiction_clause,[status(thm)],[f1610]) ).
fof(f1613,plain,
( e21 != e21
| spl0_254 ),
inference(forward_demodulation,[status(thm)],[f276,f1408]) ).
fof(f1614,plain,
( $false
| spl0_254 ),
inference(trivial_equality_resolution,[status(esa)],[f1613]) ).
fof(f1615,plain,
spl0_254,
inference(contradiction_clause,[status(thm)],[f1614]) ).
fof(f1619,plain,
( e20 != e20
| spl0_238 ),
inference(forward_demodulation,[status(thm)],[f272,f1344]) ).
fof(f1620,plain,
( $false
| spl0_238 ),
inference(trivial_equality_resolution,[status(esa)],[f1619]) ).
fof(f1621,plain,
spl0_238,
inference(contradiction_clause,[status(thm)],[f1620]) ).
fof(f1622,plain,
( e23 != e23
| spl0_226 ),
inference(forward_demodulation,[status(thm)],[f284,f1288]) ).
fof(f1623,plain,
( $false
| spl0_226 ),
inference(trivial_equality_resolution,[status(esa)],[f1622]) ).
fof(f1624,plain,
spl0_226,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
( e23 != e23
| spl0_204 ),
inference(forward_demodulation,[status(thm)],[f1589,f1219]) ).
fof(f1626,plain,
( $false
| spl0_204 ),
inference(trivial_equality_resolution,[status(esa)],[f1625]) ).
fof(f1627,plain,
spl0_204,
inference(contradiction_clause,[status(thm)],[f1626]) ).
fof(f1635,plain,
( h4(e13) != op2(h4(e12),h4(e12))
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f268,f1253]) ).
fof(f1636,plain,
( h4(e13) != op2(e23,h4(e12))
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f284,f1635]) ).
fof(f1637,plain,
( h4(e13) != op2(e23,e23)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f284,f1636]) ).
fof(f1638,plain,
( h4(e13) != h4(e13)
| spl0_215 ),
inference(forward_demodulation,[status(thm)],[f287,f1637]) ).
fof(f1639,plain,
( $false
| spl0_215 ),
inference(trivial_equality_resolution,[status(esa)],[f1638]) ).
fof(f1640,plain,
spl0_215,
inference(contradiction_clause,[status(thm)],[f1639]) ).
fof(f1645,plain,
( h3(op1(e13,e13)) != op2(e23,h3(e13))
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1589,f1195]) ).
fof(f1646,plain,
( h3(op1(e13,e13)) != op2(e23,e23)
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1589,f1645]) ).
fof(f1647,plain,
( h3(op1(e13,e13)) != h4(e13)
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f287,f1646]) ).
fof(f1648,plain,
( h3(op1(e13,e12)) != op2(e23,h3(e12))
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f1589,f1192]) ).
fof(f1649,plain,
( h3(op1(e13,e12)) != op2(e23,e22)
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f280,f1648]) ).
fof(f1650,plain,
( h3(op1(e13,e11)) != op2(e23,h3(e11))
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1589,f1189]) ).
fof(f1651,plain,
( h3(op1(e13,e11)) != op2(e23,e21)
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1588,f1650]) ).
fof(f1652,plain,
( h3(op1(e13,e10)) != op2(e23,h3(e10))
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1589,f1186]) ).
fof(f1653,plain,
( h3(op1(e13,e10)) != op2(e23,e20)
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1586,f1652]) ).
fof(f1654,plain,
( h3(op1(e12,e13)) != op2(e22,h3(e13))
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f280,f1183]) ).
fof(f1655,plain,
( h3(op1(e12,e13)) != op2(e22,e23)
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f1589,f1654]) ).
fof(f1656,plain,
( h3(e13) != op2(h3(e12),h3(e12))
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f268,f1180]) ).
fof(f1657,plain,
( e23 != op2(h3(e12),h3(e12))
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f1589,f1656]) ).
fof(f1658,plain,
( e23 != op2(e22,h3(e12))
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f280,f1657]) ).
fof(f1659,plain,
( e23 != op2(e22,e22)
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f280,f1658]) ).
fof(f1660,plain,
( e23 != e23
| spl0_192 ),
inference(forward_demodulation,[status(thm)],[f271,f1659]) ).
fof(f1661,plain,
( $false
| spl0_192 ),
inference(trivial_equality_resolution,[status(esa)],[f1660]) ).
fof(f1662,plain,
spl0_192,
inference(contradiction_clause,[status(thm)],[f1661]) ).
fof(f1663,plain,
( h3(op1(e12,e11)) != op2(e22,h3(e11))
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f280,f1177]) ).
fof(f1664,plain,
( h3(op1(e12,e11)) != op2(e22,e21)
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1588,f1663]) ).
fof(f1665,plain,
( h3(op1(e12,e10)) != op2(e22,h3(e10))
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f280,f1174]) ).
fof(f1666,plain,
( h3(op1(e12,e10)) != op2(e22,e20)
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1586,f1665]) ).
fof(f1667,plain,
( h3(op1(e11,e13)) != op2(e21,h3(e13))
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1588,f1171]) ).
fof(f1668,plain,
( h3(op1(e11,e13)) != op2(e21,e23)
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1589,f1667]) ).
fof(f1669,plain,
( h3(op1(e11,e12)) != op2(e21,h3(e12))
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f1588,f1168]) ).
fof(f1670,plain,
( h3(op1(e11,e12)) != op2(e21,e22)
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f280,f1669]) ).
fof(f1671,plain,
( h3(op1(e11,e11)) != op2(e21,h3(e11))
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1588,f1165]) ).
fof(f1672,plain,
( h3(op1(e11,e11)) != op2(e21,e21)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1588,f1671]) ).
fof(f1673,plain,
( h3(op1(e11,e11)) != h2(e13)
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f279,f1672]) ).
fof(f1674,plain,
( h3(op1(e11,e10)) != op2(e21,h3(e10))
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1588,f1162]) ).
fof(f1675,plain,
( h3(op1(e11,e10)) != op2(e21,e20)
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1586,f1674]) ).
fof(f1676,plain,
( h3(op1(e10,e13)) != op2(e20,h3(e13))
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1586,f1159]) ).
fof(f1677,plain,
( h3(op1(e10,e13)) != op2(e20,e23)
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1589,f1676]) ).
fof(f1678,plain,
( h3(op1(e10,e12)) != op2(e20,h3(e12))
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f1586,f1156]) ).
fof(f1679,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| spl0_184 ),
inference(forward_demodulation,[status(thm)],[f280,f1678]) ).
fof(f1680,plain,
( h3(op1(e10,e11)) != op2(e20,h3(e11))
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f1586,f1153]) ).
fof(f1681,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f1588,f1680]) ).
fof(f1682,plain,
( h3(op1(e10,e10)) != op2(e20,h3(e10))
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1586,f1150]) ).
fof(f1683,plain,
( h3(op1(e10,e10)) != op2(e20,e20)
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1586,f1682]) ).
fof(f1684,plain,
( h3(op1(e10,e10)) != h1(e13)
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f275,f1683]) ).
fof(f1687,plain,
( h2(e13) != op2(h2(e12),h2(e12))
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f268,f1107]) ).
fof(f1688,plain,
( h2(e13) != op2(e21,h2(e12))
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f276,f1687]) ).
fof(f1689,plain,
( h2(e13) != op2(e21,e21)
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f276,f1688]) ).
fof(f1690,plain,
( h2(e13) != h2(e13)
| spl0_169 ),
inference(forward_demodulation,[status(thm)],[f279,f1689]) ).
fof(f1691,plain,
( $false
| spl0_169 ),
inference(trivial_equality_resolution,[status(esa)],[f1690]) ).
fof(f1692,plain,
spl0_169,
inference(contradiction_clause,[status(thm)],[f1691]) ).
fof(f1699,plain,
( h1(e13) != op2(h1(e12),h1(e12))
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f268,f1034]) ).
fof(f1700,plain,
( h1(e13) != op2(e20,h1(e12))
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f272,f1699]) ).
fof(f1701,plain,
( h1(e13) != op2(e20,e20)
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f272,f1700]) ).
fof(f1702,plain,
( h1(e13) != h1(e13)
| spl0_146 ),
inference(forward_demodulation,[status(thm)],[f275,f1701]) ).
fof(f1703,plain,
( $false
| spl0_146 ),
inference(trivial_equality_resolution,[status(esa)],[f1702]) ).
fof(f1704,plain,
spl0_146,
inference(contradiction_clause,[status(thm)],[f1703]) ).
fof(f1718,plain,
( h4(e13) = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f287,f921]) ).
fof(f1724,plain,
( e22 = e21
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_demodulation,[status(thm)],[f911,f908]) ).
fof(f1725,plain,
( $false
| ~ spl0_122
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f221]) ).
fof(f1726,plain,
( ~ spl0_122
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1730,plain,
( e22 = e21
| ~ spl0_114
| ~ spl0_113 ),
inference(forward_demodulation,[status(thm)],[f885,f882]) ).
fof(f1731,plain,
( $false
| ~ spl0_114
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[status(thm)],[f1730,f221]) ).
fof(f1732,plain,
( ~ spl0_114
| ~ spl0_113 ),
inference(contradiction_clause,[status(thm)],[f1731]) ).
fof(f1733,plain,
( h4(e13) = e20
| ~ spl0_124 ),
inference(forward_demodulation,[status(thm)],[f287,f918]) ).
fof(f1734,plain,
( $false
| spl0_275
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[status(thm)],[f1733,f1492]) ).
fof(f1735,plain,
( spl0_275
| ~ spl0_124 ),
inference(contradiction_clause,[status(thm)],[f1734]) ).
fof(f1739,plain,
( e23 = e22
| ~ spl0_75
| ~ spl0_74 ),
inference(forward_demodulation,[status(thm)],[f758,f755]) ).
fof(f1740,plain,
( $false
| ~ spl0_75
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[status(thm)],[f1739,f223]) ).
fof(f1741,plain,
( ~ spl0_75
| ~ spl0_74 ),
inference(contradiction_clause,[status(thm)],[f1740]) ).
fof(f1742,plain,
( e23 = e21
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f271,f856]) ).
fof(f1743,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f1742,f222]) ).
fof(f1744,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f1743]) ).
fof(f1745,plain,
( e23 = e21
| ~ spl0_103
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f849,f843]) ).
fof(f1746,plain,
( $false
| ~ spl0_103
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[status(thm)],[f1745,f222]) ).
fof(f1747,plain,
( ~ spl0_103
| ~ spl0_101 ),
inference(contradiction_clause,[status(thm)],[f1746]) ).
fof(f1748,plain,
( e23 = e21
| ~ spl0_99
| ~ spl0_97 ),
inference(forward_demodulation,[status(thm)],[f836,f830]) ).
fof(f1749,plain,
( $false
| ~ spl0_99
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[status(thm)],[f1748,f222]) ).
fof(f1750,plain,
( ~ spl0_99
| ~ spl0_97 ),
inference(contradiction_clause,[status(thm)],[f1749]) ).
fof(f1751,plain,
( e23 = e20
| ~ spl0_104 ),
inference(forward_demodulation,[status(thm)],[f271,f853]) ).
fof(f1752,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1751,f220]) ).
fof(f1753,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f1752]) ).
fof(f1754,plain,
( h2(e13) = e23
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f279,f797]) ).
fof(f1757,plain,
( h2(e13) = e22
| ~ spl0_86 ),
inference(forward_demodulation,[status(thm)],[f279,f794]) ).
fof(f1758,plain,
( $false
| spl0_259
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[status(thm)],[f1757,f1428]) ).
fof(f1759,plain,
( spl0_259
| ~ spl0_86 ),
inference(contradiction_clause,[status(thm)],[f1758]) ).
fof(f1760,plain,
( e23 = e22
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_demodulation,[status(thm)],[f745,f742]) ).
fof(f1761,plain,
( $false
| ~ spl0_71
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[status(thm)],[f1760,f223]) ).
fof(f1762,plain,
( ~ spl0_71
| ~ spl0_70 ),
inference(contradiction_clause,[status(thm)],[f1761]) ).
fof(f1766,plain,
( h2(e13) = e20
| ~ spl0_84 ),
inference(forward_demodulation,[status(thm)],[f279,f788]) ).
fof(f1767,plain,
( $false
| spl0_251
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f1766,f1396]) ).
fof(f1768,plain,
( spl0_251
| ~ spl0_84 ),
inference(contradiction_clause,[status(thm)],[f1767]) ).
fof(f1769,plain,
( h1(e13) = e23
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f275,f732]) ).
fof(f1770,plain,
( $false
| spl0_158
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1769,f1073]) ).
fof(f1771,plain,
( spl0_158
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f1770]) ).
fof(f1772,plain,
( h1(e13) = e22
| ~ spl0_66 ),
inference(forward_demodulation,[status(thm)],[f275,f729]) ).
fof(f1773,plain,
( $false
| spl0_247
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f1772,f1380]) ).
fof(f1774,plain,
( spl0_247
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f1773]) ).
fof(f1775,plain,
( h1(e13) = e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f275,f726]) ).
fof(f1778,plain,
( e13 = e12
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f583,f580]) ).
fof(f1779,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f1778,f217]) ).
fof(f1780,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f1779]) ).
fof(f1790,plain,
( e12 = e11
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_demodulation,[status(thm)],[f671,f668]) ).
fof(f1791,plain,
( $false
| ~ spl0_58
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f1790,f215]) ).
fof(f1792,plain,
( ~ spl0_58
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f1791]) ).
fof(f1799,plain,
( e13 = e12
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f570,f567]) ).
fof(f1800,plain,
( $false
| ~ spl0_27
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1799,f217]) ).
fof(f1801,plain,
( ~ spl0_27
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f1800]) ).
fof(f1805,plain,
( e13 = e11
| ~ spl0_41 ),
inference(forward_demodulation,[status(thm)],[f268,f616]) ).
fof(f1806,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f1805,f216]) ).
fof(f1807,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f1806]) ).
fof(f1808,plain,
( e13 = e11
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_demodulation,[status(thm)],[f609,f603]) ).
fof(f1809,plain,
( $false
| ~ spl0_39
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1808,f216]) ).
fof(f1810,plain,
( ~ spl0_39
| ~ spl0_37 ),
inference(contradiction_clause,[status(thm)],[f1809]) ).
fof(f1814,plain,
( e13 = e10
| ~ spl0_40 ),
inference(forward_demodulation,[status(thm)],[f268,f613]) ).
fof(f1815,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f1814,f214]) ).
fof(f1816,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f1815]) ).
fof(f1820,plain,
( e13 = e12
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f505,f502]) ).
fof(f1821,plain,
( $false
| ~ spl0_7
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f217]) ).
fof(f1822,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f1821]) ).
fof(f1829,plain,
( e23 = e22
| ~ spl0_106 ),
inference(forward_demodulation,[status(thm)],[f271,f859]) ).
fof(f1830,plain,
( $false
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[status(thm)],[f1829,f223]) ).
fof(f1831,plain,
~ spl0_106,
inference(contradiction_clause,[status(thm)],[f1830]) ).
fof(f1832,plain,
( e13 = e12
| ~ spl0_42 ),
inference(forward_demodulation,[status(thm)],[f268,f619]) ).
fof(f1833,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1832,f217]) ).
fof(f1834,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f1833]) ).
fof(f1839,plain,
( h2(e13) = e21
| ~ spl0_85 ),
inference(forward_demodulation,[status(thm)],[f279,f791]) ).
fof(f1840,plain,
( $false
| spl0_255
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1839,f1412]) ).
fof(f1841,plain,
( spl0_255
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f1840]) ).
fof(f1845,plain,
e11 = op1(e10,e13),
inference(backward_demodulation,[status(thm)],[f268,f1582]) ).
fof(f1846,plain,
e10 = op1(op1(e12,e12),e13),
inference(backward_demodulation,[status(thm)],[f268,f266]) ).
fof(f1847,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[status(thm)],[f268,f1846]) ).
fof(f1848,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[status(thm)],[f268,f157]) ).
fof(f1852,plain,
op1(e12,e10) != e13,
inference(backward_demodulation,[status(thm)],[f268,f153]) ).
fof(f1860,plain,
e21 = op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f271,f1583]) ).
fof(f1861,plain,
e20 = op2(op2(e22,e22),e23),
inference(backward_demodulation,[status(thm)],[f271,f269]) ).
fof(f1862,plain,
e20 = op2(e23,e23),
inference(forward_demodulation,[status(thm)],[f271,f1861]) ).
fof(f1863,plain,
e20 = h4(e13),
inference(forward_demodulation,[status(thm)],[f287,f1862]) ).
fof(f1864,plain,
e23 != op2(e22,e23),
inference(backward_demodulation,[status(thm)],[f271,f205]) ).
fof(f1872,plain,
op2(e21,e22) != e23,
inference(backward_demodulation,[status(thm)],[f271,f179]) ).
fof(f1877,plain,
h1(e10) = op2(op2(e20,e20),h1(e13)),
inference(backward_demodulation,[status(thm)],[f275,f273]) ).
fof(f1878,plain,
h1(e10) = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[status(thm)],[f275,f1877]) ).
fof(f1879,plain,
h1(e13) != op2(e20,e23),
inference(backward_demodulation,[status(thm)],[f275,f190]) ).
fof(f1883,plain,
h1(e13) != op2(e23,e20),
inference(backward_demodulation,[status(thm)],[f275,f166]) ).
fof(f1884,plain,
h1(e13) != op2(e22,e20),
inference(backward_demodulation,[status(thm)],[f275,f165]) ).
fof(f1886,plain,
h2(e11) = op2(h2(e10),h2(e13)),
inference(backward_demodulation,[status(thm)],[f279,f1585]) ).
fof(f1887,plain,
h2(e10) = op2(op2(e21,e21),h2(e13)),
inference(backward_demodulation,[status(thm)],[f279,f277]) ).
fof(f1888,plain,
h2(e10) = op2(h2(e13),h2(e13)),
inference(forward_demodulation,[status(thm)],[f279,f1887]) ).
fof(f1893,plain,
h2(e13) != op2(e23,e21),
inference(backward_demodulation,[status(thm)],[f279,f174]) ).
fof(f1894,plain,
h2(e13) != op2(e22,e21),
inference(backward_demodulation,[status(thm)],[f279,f173]) ).
fof(f1897,plain,
h4(e11) = op2(h4(e10),h4(e13)),
inference(backward_demodulation,[status(thm)],[f287,f1590]) ).
fof(f1898,plain,
h4(e11) = op2(h4(e10),e20),
inference(forward_demodulation,[status(thm)],[f1863,f1897]) ).
fof(f1899,plain,
h4(e10) = op2(op2(e23,e23),h4(e13)),
inference(backward_demodulation,[status(thm)],[f287,f285]) ).
fof(f1900,plain,
h4(e10) = op2(h4(e13),h4(e13)),
inference(forward_demodulation,[status(thm)],[f287,f1899]) ).
fof(f1901,plain,
h4(e10) = op2(e20,h4(e13)),
inference(forward_demodulation,[status(thm)],[f1863,f1900]) ).
fof(f1902,plain,
h4(e10) = op2(e20,e20),
inference(forward_demodulation,[status(thm)],[f1863,f1901]) ).
fof(f1903,plain,
h4(e10) = h1(e13),
inference(forward_demodulation,[status(thm)],[f275,f1902]) ).
fof(f1904,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f211]) ).
fof(f1905,plain,
( e20 != h4(e13)
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f905,f1904]) ).
fof(f1906,plain,
( e20 != e20
| ~ spl0_120 ),
inference(forward_demodulation,[status(thm)],[f1863,f1905]) ).
fof(f1907,plain,
( $false
| ~ spl0_120 ),
inference(trivial_equality_resolution,[status(esa)],[f1906]) ).
fof(f1908,plain,
~ spl0_120,
inference(contradiction_clause,[status(thm)],[f1907]) ).
fof(f1909,plain,
op2(e23,e21) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f210]) ).
fof(f1910,plain,
( e20 != h4(e13)
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f892,f1909]) ).
fof(f1911,plain,
( e20 != e20
| ~ spl0_116 ),
inference(forward_demodulation,[status(thm)],[f1863,f1910]) ).
fof(f1912,plain,
( $false
| ~ spl0_116 ),
inference(trivial_equality_resolution,[status(esa)],[f1911]) ).
fof(f1913,plain,
~ spl0_116,
inference(contradiction_clause,[status(thm)],[f1912]) ).
fof(f1914,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f208]) ).
fof(f1915,plain,
( e20 != h4(e13)
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f879,f1914]) ).
fof(f1916,plain,
( e20 != e20
| ~ spl0_112 ),
inference(forward_demodulation,[status(thm)],[f1863,f1915]) ).
fof(f1917,plain,
( $false
| ~ spl0_112 ),
inference(trivial_equality_resolution,[status(esa)],[f1916]) ).
fof(f1918,plain,
~ spl0_112,
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1919,plain,
op2(e22,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f187]) ).
fof(f1920,plain,
( e20 != h4(e13)
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f866,f1919]) ).
fof(f1921,plain,
( e20 != e20
| ~ spl0_108 ),
inference(forward_demodulation,[status(thm)],[f1863,f1920]) ).
fof(f1922,plain,
( $false
| ~ spl0_108 ),
inference(trivial_equality_resolution,[status(esa)],[f1921]) ).
fof(f1923,plain,
~ spl0_108,
inference(contradiction_clause,[status(thm)],[f1922]) ).
fof(f1924,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[status(thm)],[f287,f186]) ).
fof(f1925,plain,
( e20 != h4(e13)
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f814,f1924]) ).
fof(f1926,plain,
( e20 != e20
| ~ spl0_92 ),
inference(forward_demodulation,[status(thm)],[f1863,f1925]) ).
fof(f1927,plain,
( $false
| ~ spl0_92 ),
inference(trivial_equality_resolution,[status(esa)],[f1926]) ).
fof(f1928,plain,
~ spl0_92,
inference(contradiction_clause,[status(thm)],[f1927]) ).
fof(f1932,plain,
( h1(e13) = e20
| ~ spl0_64 ),
inference(forward_demodulation,[status(thm)],[f275,f723]) ).
fof(f1933,plain,
( $false
| spl0_239
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1932,f1348]) ).
fof(f1934,plain,
( spl0_239
| ~ spl0_64 ),
inference(contradiction_clause,[status(thm)],[f1933]) ).
fof(f1941,plain,
( h4(e13) = op2(h4(e12),h4(e12))
| ~ spl0_215 ),
inference(forward_demodulation,[status(thm)],[f268,f1252]) ).
fof(f1942,plain,
( e20 = op2(h4(e12),h4(e12))
| ~ spl0_215 ),
inference(forward_demodulation,[status(thm)],[f1863,f1941]) ).
fof(f1943,plain,
( e20 = op2(e23,h4(e12))
| ~ spl0_215 ),
inference(forward_demodulation,[status(thm)],[f284,f1942]) ).
fof(f1944,plain,
( e20 = op2(e23,e23)
| ~ spl0_215 ),
inference(forward_demodulation,[status(thm)],[f284,f1943]) ).
fof(f1945,plain,
( e20 = e23
| ~ spl0_127
| ~ spl0_215 ),
inference(forward_demodulation,[status(thm)],[f927,f1944]) ).
fof(f1946,plain,
( $false
| ~ spl0_127
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[status(thm)],[f1945,f220]) ).
fof(f1947,plain,
( ~ spl0_127
| ~ spl0_215 ),
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1961,plain,
( h3(e11) != op2(e20,e23)
| ~ spl0_13
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f525,f1677]) ).
fof(f1962,plain,
( e21 != op2(e20,e23)
| ~ spl0_13
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f1588,f1961]) ).
fof(f1963,plain,
( e21 != e21
| ~ spl0_77
| ~ spl0_13
| spl0_185 ),
inference(forward_demodulation,[status(thm)],[f765,f1962]) ).
fof(f1964,plain,
( $false
| ~ spl0_77
| ~ spl0_13
| spl0_185 ),
inference(trivial_equality_resolution,[status(esa)],[f1963]) ).
fof(f1965,plain,
( ~ spl0_77
| ~ spl0_13
| spl0_185 ),
inference(contradiction_clause,[status(thm)],[f1964]) ).
fof(f1966,plain,
( e21 != op2(e20,e23)
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f752,f193]) ).
fof(f1967,plain,
( e21 != e21
| ~ spl0_77
| ~ spl0_73 ),
inference(forward_demodulation,[status(thm)],[f765,f1966]) ).
fof(f1968,plain,
( $false
| ~ spl0_77
| ~ spl0_73 ),
inference(trivial_equality_resolution,[status(esa)],[f1967]) ).
fof(f1969,plain,
( ~ spl0_77
| ~ spl0_73 ),
inference(contradiction_clause,[status(thm)],[f1968]) ).
fof(f1999,plain,
( h3(e10) != op2(e22,e20)
| ~ spl0_32
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f587,f1666]) ).
fof(f2000,plain,
( e20 != op2(e22,e20)
| ~ spl0_32
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f1586,f1999]) ).
fof(f2001,plain,
( e20 != e20
| ~ spl0_96
| ~ spl0_32
| spl0_190 ),
inference(forward_demodulation,[status(thm)],[f827,f2000]) ).
fof(f2002,plain,
( $false
| ~ spl0_96
| ~ spl0_32
| spl0_190 ),
inference(trivial_equality_resolution,[status(esa)],[f2001]) ).
fof(f2003,plain,
( ~ spl0_96
| ~ spl0_32
| spl0_190 ),
inference(contradiction_clause,[status(thm)],[f2002]) ).
fof(f2004,plain,
( e20 != op2(e22,e20)
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f775,f167]) ).
fof(f2005,plain,
( e20 != e20
| ~ spl0_96
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f827,f2004]) ).
fof(f2006,plain,
( $false
| ~ spl0_96
| ~ spl0_80 ),
inference(trivial_equality_resolution,[status(esa)],[f2005]) ).
fof(f2007,plain,
( ~ spl0_96
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f2006]) ).
fof(f2035,plain,
( e11 != op1(e10,e13)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f512,f145]) ).
fof(f2041,plain,
( h1(op1(e13,e13)) != h1(e10)
| spl0_151 ),
inference(forward_demodulation,[status(thm)],[f1878,f1049]) ).
fof(f2042,plain,
( h2(op1(e13,e13)) != h2(e10)
| spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1888,f1122]) ).
fof(f2043,plain,
( h3(op1(e13,e13)) != e20
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1863,f1647]) ).
fof(f2044,plain,
( h4(op1(e13,e13)) != op2(e20,h4(e13))
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1863,f1268]) ).
fof(f2045,plain,
( h4(op1(e13,e13)) != op2(e20,e20)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1863,f2044]) ).
fof(f2046,plain,
( h4(op1(e13,e13)) != h1(e13)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f275,f2045]) ).
fof(f2047,plain,
( e10 != op1(e13,e13)
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f665,f163]) ).
fof(f2109,plain,
( e10 != op1(e12,e11)
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f587,f152]) ).
fof(f2119,plain,
( op1(e10,e10) != e10
| ~ spl0_32 ),
inference(forward_demodulation,[status(thm)],[f587,f117]) ).
fof(f2135,plain,
h4(e11) = op2(h1(e13),e20),
inference(backward_demodulation,[status(thm)],[f1903,f1898]) ).
fof(f2143,plain,
( e23 != op2(e23,e21)
| ~ spl0_87 ),
inference(forward_demodulation,[status(thm)],[f1754,f1893]) ).
fof(f2149,plain,
( $false
| ~ spl0_32
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f2119]) ).
fof(f2150,plain,
( ~ spl0_32
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f2149]) ).
fof(f2153,plain,
( e10 = e13
| ~ spl0_63 ),
inference(forward_demodulation,[status(thm)],[f687,f1847]) ).
fof(f2154,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f2153,f214]) ).
fof(f2155,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f2154]) ).
fof(f2156,plain,
( e21 = e22
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f869,f872]) ).
fof(f2157,plain,
( $false
| ~ spl0_109
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f2156,f221]) ).
fof(f2158,plain,
( ~ spl0_109
| ~ spl0_110 ),
inference(contradiction_clause,[status(thm)],[f2157]) ).
fof(f2159,plain,
( $false
| ~ spl0_87
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[status(thm)],[f901,f2143]) ).
fof(f2160,plain,
( ~ spl0_87
| ~ spl0_119 ),
inference(contradiction_clause,[status(thm)],[f2159]) ).
fof(f2163,plain,
( op2(e20,e21) != e23
| ~ spl0_79 ),
inference(backward_demodulation,[status(thm)],[f771,f192]) ).
fof(f2164,plain,
( ~ spl0_71
| ~ spl0_79 ),
inference(split_clause,[status(thm)],[f2163,f744,f770]) ).
fof(f2170,plain,
( op2(e21,e20) != e22
| ~ spl0_114 ),
inference(backward_demodulation,[status(thm)],[f885,f168]) ).
fof(f2192,plain,
( h2(e13) != e20
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f840,f1894]) ).
fof(f2193,plain,
( ~ spl0_251
| ~ spl0_100 ),
inference(split_clause,[status(thm)],[f2192,f1394,f839]) ).
fof(f2205,plain,
op2(e20,e21) != e21,
inference(forward_demodulation,[status(thm)],[f1860,f192]) ).
fof(f2206,plain,
( e21 = e20
| ~ spl0_89
| ~ spl0_88 ),
inference(forward_demodulation,[status(thm)],[f804,f801]) ).
fof(f2207,plain,
( $false
| ~ spl0_89
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[status(thm)],[f2206,f218]) ).
fof(f2208,plain,
( ~ spl0_89
| ~ spl0_88 ),
inference(contradiction_clause,[status(thm)],[f2207]) ).
fof(f2223,plain,
op1(e10,e10) != e11,
inference(forward_demodulation,[status(thm)],[f1845,f142]) ).
fof(f2224,plain,
( e11 != e11
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1845,f2035]) ).
fof(f2225,plain,
( $false
| ~ spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f2224]) ).
fof(f2226,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f2225]) ).
fof(f2227,plain,
( h4(e11) != op2(h4(e10),h4(e13))
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f1845,f1232]) ).
fof(f2228,plain,
( h4(e11) != op2(h4(e10),e20)
| spl0_208 ),
inference(forward_demodulation,[status(thm)],[f1863,f2227]) ).
fof(f2229,plain,
( h2(e11) != op2(h2(e10),h2(e13))
| spl0_162 ),
inference(forward_demodulation,[status(thm)],[f1845,f1086]) ).
fof(f2250,plain,
( e11 = e13
| ~ spl0_15 ),
inference(forward_demodulation,[status(thm)],[f1845,f531]) ).
fof(f2251,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f216]) ).
fof(f2252,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f2251]) ).
fof(f2257,plain,
( op1(e11,e10) != e11
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f551,f146]) ).
fof(f2258,plain,
( ~ spl0_17
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2257,f537,f550]) ).
fof(f2264,plain,
( e11 != op1(e11,e12)
| ~ spl0_21 ),
inference(backward_demodulation,[status(thm)],[f551,f149]) ).
fof(f2265,plain,
( ~ spl0_25
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f2264,f563,f550]) ).
fof(f2269,plain,
( e23 != op2(e23,e21)
| ~ spl0_115 ),
inference(backward_demodulation,[status(thm)],[f888,f206]) ).
fof(f2272,plain,
( e11 != op1(e12,e10)
| ~ spl0_17 ),
inference(forward_demodulation,[status(thm)],[f538,f119]) ).
fof(f2315,plain,
( e13 = e12
| ~ spl0_55
| ~ spl0_54 ),
inference(forward_demodulation,[status(thm)],[f661,f658]) ).
fof(f2316,plain,
( $false
| ~ spl0_55
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f2315,f217]) ).
fof(f2317,plain,
( ~ spl0_55
| ~ spl0_54 ),
inference(contradiction_clause,[status(thm)],[f2316]) ).
fof(f2319,plain,
( e13 != op1(e13,e11)
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f648,f158]) ).
fof(f2320,plain,
( e13 != e13
| ~ spl0_55
| ~ spl0_51 ),
inference(forward_demodulation,[status(thm)],[f661,f2319]) ).
fof(f2321,plain,
( $false
| ~ spl0_55
| ~ spl0_51 ),
inference(trivial_equality_resolution,[status(esa)],[f2320]) ).
fof(f2322,plain,
( ~ spl0_55
| ~ spl0_51 ),
inference(contradiction_clause,[status(thm)],[f2321]) ).
fof(f2329,plain,
( h3(e10) != e20
| ~ spl0_60
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f678,f2043]) ).
fof(f2330,plain,
( e20 != e20
| ~ spl0_60
| spl0_197 ),
inference(forward_demodulation,[status(thm)],[f1586,f2329]) ).
fof(f2331,plain,
( $false
| ~ spl0_60
| spl0_197 ),
inference(trivial_equality_resolution,[status(esa)],[f2330]) ).
fof(f2332,plain,
( ~ spl0_60
| spl0_197 ),
inference(contradiction_clause,[status(thm)],[f2331]) ).
fof(f2337,plain,
( op2(e21,e23) != e22
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f872,f185]) ).
fof(f2340,plain,
( $false
| spl0_162 ),
inference(forward_subsumption_resolution,[status(thm)],[f1886,f2229]) ).
fof(f2341,plain,
spl0_162,
inference(contradiction_clause,[status(thm)],[f2340]) ).
fof(f2347,plain,
( e20 = e23
| ~ spl0_64
| ~ spl0_67 ),
inference(forward_demodulation,[status(thm)],[f1932,f1769]) ).
fof(f2348,plain,
( $false
| ~ spl0_64
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f2347,f220]) ).
fof(f2349,plain,
( ~ spl0_64
| ~ spl0_67 ),
inference(contradiction_clause,[status(thm)],[f2348]) ).
fof(f2372,plain,
( e21 = e22
| ~ spl0_78 ),
inference(forward_demodulation,[status(thm)],[f1860,f768]) ).
fof(f2373,plain,
( $false
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f2372,f221]) ).
fof(f2374,plain,
~ spl0_78,
inference(contradiction_clause,[status(thm)],[f2373]) ).
fof(f2375,plain,
( h3(op1(e11,e13)) != e23
| ~ spl0_95
| spl0_189 ),
inference(backward_demodulation,[status(thm)],[f823,f1668]) ).
fof(f2382,plain,
e21 != op2(e21,e23),
inference(forward_demodulation,[status(thm)],[f1860,f182]) ).
fof(f2383,plain,
( e21 != e21
| ~ spl0_93 ),
inference(forward_demodulation,[status(thm)],[f817,f2382]) ).
fof(f2384,plain,
( $false
| ~ spl0_93 ),
inference(trivial_equality_resolution,[status(esa)],[f2383]) ).
fof(f2385,plain,
~ spl0_93,
inference(contradiction_clause,[status(thm)],[f2384]) ).
fof(f2388,plain,
( e21 = e20
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f830,f827]) ).
fof(f2389,plain,
( $false
| ~ spl0_97
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[status(thm)],[f2388,f218]) ).
fof(f2390,plain,
( ~ spl0_97
| ~ spl0_96 ),
inference(contradiction_clause,[status(thm)],[f2389]) ).
fof(f2391,plain,
( h1(e13) != e20
| ~ spl0_96 ),
inference(forward_demodulation,[status(thm)],[f827,f1884]) ).
fof(f2392,plain,
( ~ spl0_239
| ~ spl0_96 ),
inference(split_clause,[status(thm)],[f2391,f1346,f826]) ).
fof(f2401,plain,
( e22 != op2(e22,e23)
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f846,f204]) ).
fof(f2402,plain,
( e22 != e22
| ~ spl0_110
| ~ spl0_102 ),
inference(forward_demodulation,[status(thm)],[f872,f2401]) ).
fof(f2403,plain,
( $false
| ~ spl0_110
| ~ spl0_102 ),
inference(trivial_equality_resolution,[status(esa)],[f2402]) ).
fof(f2404,plain,
( ~ spl0_110
| ~ spl0_102 ),
inference(contradiction_clause,[status(thm)],[f2403]) ).
fof(f2420,plain,
( $false
| ~ spl0_17
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f2272]) ).
fof(f2421,plain,
( ~ spl0_17
| ~ spl0_33 ),
inference(contradiction_clause,[status(thm)],[f2420]) ).
fof(f2423,plain,
( h3(e13) != h1(e13)
| ~ spl0_3
| spl0_182 ),
inference(backward_demodulation,[status(thm)],[f492,f1684]) ).
fof(f2424,plain,
( e23 != h1(e13)
| ~ spl0_3
| spl0_182 ),
inference(forward_demodulation,[status(thm)],[f1589,f2423]) ).
fof(f2431,plain,
( op2(e20,e21) != e20
| ~ spl0_72 ),
inference(forward_demodulation,[status(thm)],[f749,f191]) ).
fof(f2439,plain,
( e10 != e10
| ~ spl0_56 ),
inference(forward_demodulation,[status(thm)],[f1847,f2047]) ).
fof(f2440,plain,
( $false
| ~ spl0_56 ),
inference(trivial_equality_resolution,[status(esa)],[f2439]) ).
fof(f2441,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f2440]) ).
fof(f2444,plain,
( op1(e12,e11) != e12
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f632,f156]) ).
fof(f2445,plain,
( ~ spl0_38
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f2444,f605,f631]) ).
fof(f2446,plain,
( h3(e12) != op2(e22,e23)
| ~ spl0_46
| spl0_193 ),
inference(backward_demodulation,[status(thm)],[f632,f1655]) ).
fof(f2447,plain,
( e22 != op2(e22,e23)
| ~ spl0_46
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f280,f2446]) ).
fof(f2448,plain,
( e22 != e22
| ~ spl0_110
| ~ spl0_46
| spl0_193 ),
inference(forward_demodulation,[status(thm)],[f872,f2447]) ).
fof(f2449,plain,
( $false
| ~ spl0_110
| ~ spl0_46
| spl0_193 ),
inference(trivial_equality_resolution,[status(esa)],[f2448]) ).
fof(f2450,plain,
( ~ spl0_110
| ~ spl0_46
| spl0_193 ),
inference(contradiction_clause,[status(thm)],[f2449]) ).
fof(f2461,plain,
( h2(e10) != h2(e10)
| spl0_174 ),
inference(backward_demodulation,[status(thm)],[f1847,f2042]) ).
fof(f2462,plain,
( $false
| spl0_174 ),
inference(trivial_equality_resolution,[status(esa)],[f2461]) ).
fof(f2463,plain,
spl0_174,
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2468,plain,
h1(e13) != e21,
inference(forward_demodulation,[status(thm)],[f1860,f1879]) ).
fof(f2470,plain,
( h4(e10) != h1(e13)
| spl0_220 ),
inference(forward_demodulation,[status(thm)],[f1847,f2046]) ).
fof(f2471,plain,
( $false
| spl0_220 ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f2470]) ).
fof(f2472,plain,
spl0_220,
inference(contradiction_clause,[status(thm)],[f2471]) ).
fof(f2505,plain,
( e23 = e21
| ~ spl0_83
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f784,f778]) ).
fof(f2506,plain,
( $false
| ~ spl0_83
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[status(thm)],[f2505,f222]) ).
fof(f2507,plain,
( ~ spl0_83
| ~ spl0_81 ),
inference(contradiction_clause,[status(thm)],[f2506]) ).
fof(f2549,plain,
( h1(e10) != h1(e10)
| spl0_151 ),
inference(backward_demodulation,[status(thm)],[f1847,f2041]) ).
fof(f2550,plain,
( $false
| spl0_151 ),
inference(trivial_equality_resolution,[status(esa)],[f2549]) ).
fof(f2551,plain,
spl0_151,
inference(contradiction_clause,[status(thm)],[f2550]) ).
fof(f2555,plain,
( e12 = e10
| ~ spl0_10
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f515,f509]) ).
fof(f2556,plain,
( $false
| ~ spl0_10
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f2555,f213]) ).
fof(f2557,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f2556]) ).
fof(f2570,plain,
( e10 != op1(e13,e13)
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f652,f162]) ).
fof(f2571,plain,
( e10 != e10
| ~ spl0_52 ),
inference(forward_demodulation,[status(thm)],[f1847,f2570]) ).
fof(f2572,plain,
( $false
| ~ spl0_52 ),
inference(trivial_equality_resolution,[status(esa)],[f2571]) ).
fof(f2573,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f2572]) ).
fof(f2580,plain,
( e13 = e11
| ~ spl0_31
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f583,f577]) ).
fof(f2581,plain,
( $false
| ~ spl0_31
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f2580,f216]) ).
fof(f2582,plain,
( ~ spl0_31
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f2581]) ).
fof(f2586,plain,
( e21 = e20
| ~ spl0_76 ),
inference(forward_demodulation,[status(thm)],[f1860,f762]) ).
fof(f2587,plain,
( $false
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[status(thm)],[f2586,f218]) ).
fof(f2588,plain,
~ spl0_76,
inference(contradiction_clause,[status(thm)],[f2587]) ).
fof(f2596,plain,
( e11 = e12
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1845,f528]) ).
fof(f2597,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2596,f215]) ).
fof(f2598,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f2597]) ).
fof(f2599,plain,
( $false
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f2205]) ).
fof(f2600,plain,
~ spl0_69,
inference(contradiction_clause,[status(thm)],[f2599]) ).
fof(f2616,plain,
op1(e12,e13) != e10,
inference(forward_demodulation,[status(thm)],[f1847,f139]) ).
fof(f2619,plain,
( e23 != e23
| ~ spl0_111 ),
inference(forward_demodulation,[status(thm)],[f875,f1864]) ).
fof(f2620,plain,
( $false
| ~ spl0_111 ),
inference(trivial_equality_resolution,[status(esa)],[f2619]) ).
fof(f2621,plain,
~ spl0_111,
inference(contradiction_clause,[status(thm)],[f2620]) ).
fof(f2623,plain,
( h2(e10) = op2(h2(e13),h2(e13))
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1847,f1121]) ).
fof(f2659,plain,
( $false
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f810,f1872]) ).
fof(f2660,plain,
~ spl0_91,
inference(contradiction_clause,[status(thm)],[f2659]) ).
fof(f2673,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f2223]) ).
fof(f2674,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f2673]) ).
fof(f2684,plain,
( op1(e10,e10) != e12
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f645,f118]) ).
fof(f2685,plain,
( ~ spl0_2
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f2684,f488,f644]) ).
fof(f2688,plain,
( e10 = e11
| ~ spl0_61 ),
inference(forward_demodulation,[status(thm)],[f1847,f681]) ).
fof(f2689,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f2688,f212]) ).
fof(f2690,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f2689]) ).
fof(f2693,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f626,f2616]) ).
fof(f2694,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f2693]) ).
fof(f2696,plain,
( e10 != op1(e13,e13)
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f639,f160]) ).
fof(f2697,plain,
( e10 != e10
| ~ spl0_48 ),
inference(forward_demodulation,[status(thm)],[f1847,f2696]) ).
fof(f2698,plain,
( $false
| ~ spl0_48 ),
inference(trivial_equality_resolution,[status(esa)],[f2697]) ).
fof(f2699,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f2698]) ).
fof(f2714,plain,
( e13 != e13
| ~ spl0_47 ),
inference(forward_demodulation,[status(thm)],[f635,f1848]) ).
fof(f2715,plain,
( $false
| ~ spl0_47 ),
inference(trivial_equality_resolution,[status(esa)],[f2714]) ).
fof(f2716,plain,
~ spl0_47,
inference(contradiction_clause,[status(thm)],[f2715]) ).
fof(f2717,plain,
( e11 != op1(e13,e12)
| ~ spl0_25 ),
inference(backward_demodulation,[status(thm)],[f564,f132]) ).
fof(f2731,plain,
( e21 != e21
| ~ spl0_65 ),
inference(forward_demodulation,[status(thm)],[f1775,f2468]) ).
fof(f2732,plain,
( $false
| ~ spl0_65 ),
inference(trivial_equality_resolution,[status(esa)],[f2731]) ).
fof(f2733,plain,
~ spl0_65,
inference(contradiction_clause,[status(thm)],[f2732]) ).
fof(f2745,plain,
( ~ spl0_68
| ~ spl0_72 ),
inference(split_clause,[status(thm)],[f2431,f735,f748]) ).
fof(f2752,plain,
( ~ spl0_119
| ~ spl0_115 ),
inference(split_clause,[status(thm)],[f2269,f900,f887]) ).
fof(f2754,plain,
( ~ spl0_94
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f2337,f819,f871]) ).
fof(f2773,plain,
( e23 = e21
| ~ spl0_119
| ~ spl0_117 ),
inference(forward_demodulation,[status(thm)],[f901,f895]) ).
fof(f2774,plain,
( $false
| ~ spl0_119
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[status(thm)],[f2773,f222]) ).
fof(f2775,plain,
( ~ spl0_119
| ~ spl0_117 ),
inference(contradiction_clause,[status(thm)],[f2774]) ).
fof(f2780,plain,
( h4(e11) != op2(h1(e13),e20)
| spl0_208 ),
inference(backward_demodulation,[status(thm)],[f1903,f2228]) ).
fof(f2782,plain,
( op2(e22,e20) != e22
| ~ spl0_110 ),
inference(forward_demodulation,[status(thm)],[f872,f202]) ).
fof(f2784,plain,
( h2(e10) = op2(e22,h2(e13))
| ~ spl0_86
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1757,f2623]) ).
fof(f2785,plain,
( h2(e10) = op2(e22,e22)
| ~ spl0_86
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f1757,f2784]) ).
fof(f2786,plain,
( h2(e10) = e23
| ~ spl0_86
| ~ spl0_174 ),
inference(forward_demodulation,[status(thm)],[f271,f2785]) ).
fof(f2789,plain,
( e23 != e23
| ~ spl0_86
| ~ spl0_174
| spl0_178 ),
inference(forward_demodulation,[status(thm)],[f2786,f1134]) ).
fof(f2790,plain,
( $false
| ~ spl0_86
| ~ spl0_174
| spl0_178 ),
inference(trivial_equality_resolution,[status(esa)],[f2789]) ).
fof(f2791,plain,
( ~ spl0_86
| ~ spl0_174
| spl0_178 ),
inference(contradiction_clause,[status(thm)],[f2790]) ).
fof(f2801,plain,
( h2(e13) != e21
| ~ spl0_101 ),
inference(forward_demodulation,[status(thm)],[f843,f1894]) ).
fof(f2810,plain,
( e10 = e12
| ~ spl0_62 ),
inference(forward_demodulation,[status(thm)],[f1847,f684]) ).
fof(f2811,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f2810,f213]) ).
fof(f2812,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f2811]) ).
fof(f2825,plain,
( e11 = e10
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f1845,f522]) ).
fof(f2826,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f2825,f212]) ).
fof(f2827,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f2826]) ).
fof(f2833,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f1852]) ).
fof(f2834,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f2833]) ).
fof(f2865,plain,
( h3(op1(e10,e12)) != e20
| ~ spl0_72
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f749,f1679]) ).
fof(f2894,plain,
( e23 = e22
| ~ spl0_119
| ~ spl0_118 ),
inference(forward_demodulation,[status(thm)],[f901,f898]) ).
fof(f2895,plain,
( $false
| ~ spl0_119
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f2894,f223]) ).
fof(f2896,plain,
( ~ spl0_119
| ~ spl0_118 ),
inference(contradiction_clause,[status(thm)],[f2895]) ).
fof(f2897,plain,
( h3(e13) != e23
| ~ spl0_31
| ~ spl0_95
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f583,f2375]) ).
fof(f2898,plain,
( e23 != e23
| ~ spl0_31
| ~ spl0_95
| spl0_189 ),
inference(forward_demodulation,[status(thm)],[f1589,f2897]) ).
fof(f2899,plain,
( $false
| ~ spl0_31
| ~ spl0_95
| spl0_189 ),
inference(trivial_equality_resolution,[status(esa)],[f2898]) ).
fof(f2900,plain,
( ~ spl0_31
| ~ spl0_95
| spl0_189 ),
inference(contradiction_clause,[status(thm)],[f2899]) ).
fof(f2930,plain,
( e21 = e20
| ~ spl0_81
| ~ spl0_80 ),
inference(forward_demodulation,[status(thm)],[f778,f775]) ).
fof(f2931,plain,
( $false
| ~ spl0_81
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[status(thm)],[f2930,f218]) ).
fof(f2932,plain,
( ~ spl0_81
| ~ spl0_80 ),
inference(contradiction_clause,[status(thm)],[f2931]) ).
fof(f2933,plain,
( $false
| ~ spl0_101
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f1839,f2801]) ).
fof(f2934,plain,
( ~ spl0_101
| ~ spl0_85 ),
inference(contradiction_clause,[status(thm)],[f2933]) ).
fof(f2944,plain,
( e21 = e20
| ~ spl0_101
| ~ spl0_100 ),
inference(forward_demodulation,[status(thm)],[f843,f840]) ).
fof(f2945,plain,
( $false
| ~ spl0_101
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[status(thm)],[f2944,f218]) ).
fof(f2946,plain,
( ~ spl0_101
| ~ spl0_100 ),
inference(contradiction_clause,[status(thm)],[f2945]) ).
fof(f2947,plain,
( h3(e11) != op2(e23,e22)
| ~ spl0_57
| spl0_196 ),
inference(backward_demodulation,[status(thm)],[f668,f1649]) ).
fof(f2948,plain,
( e21 != op2(e23,e22)
| ~ spl0_57
| spl0_196 ),
inference(forward_demodulation,[status(thm)],[f1588,f2947]) ).
fof(f2950,plain,
( op1(e13,e10) != e11
| ~ spl0_57 ),
inference(backward_demodulation,[status(thm)],[f668,f159]) ).
fof(f2951,plain,
( ~ spl0_49
| ~ spl0_57 ),
inference(split_clause,[status(thm)],[f2950,f641,f667]) ).
fof(f2952,plain,
( $false
| ~ spl0_25
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f2717]) ).
fof(f2953,plain,
( ~ spl0_25
| ~ spl0_57 ),
inference(contradiction_clause,[status(thm)],[f2952]) ).
fof(f2966,plain,
( ~ spl0_158
| ~ spl0_3
| spl0_182 ),
inference(split_clause,[status(thm)],[f2424,f1071,f491,f1148]) ).
fof(f2970,plain,
( ~ spl0_36
| ~ spl0_32 ),
inference(split_clause,[status(thm)],[f2109,f599,f586]) ).
fof(f2984,plain,
( ~ spl0_98
| ~ spl0_110 ),
inference(split_clause,[status(thm)],[f2782,f832,f871]) ).
fof(f2987,plain,
( $false
| spl0_208 ),
inference(forward_subsumption_resolution,[status(thm)],[f2135,f2780]) ).
fof(f2988,plain,
spl0_208,
inference(contradiction_clause,[status(thm)],[f2987]) ).
fof(f3000,plain,
( ~ spl0_82
| ~ spl0_114 ),
inference(split_clause,[status(thm)],[f2170,f780,f884]) ).
fof(f3006,plain,
( e21 != op2(e23,e20)
| ~ spl0_81 ),
inference(forward_demodulation,[status(thm)],[f778,f168]) ).
fof(f3013,plain,
( e22 = e20
| ~ spl0_259
| ~ spl0_251 ),
inference(forward_demodulation,[status(thm)],[f1427,f1395]) ).
fof(f3014,plain,
( $false
| ~ spl0_259
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[status(thm)],[f3013,f219]) ).
fof(f3015,plain,
( ~ spl0_259
| ~ spl0_251 ),
inference(contradiction_clause,[status(thm)],[f3014]) ).
fof(f3038,plain,
( e21 = e22
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_demodulation,[status(thm)],[f778,f781]) ).
fof(f3039,plain,
( $false
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[status(thm)],[f3038,f221]) ).
fof(f3040,plain,
( ~ spl0_81
| ~ spl0_82 ),
inference(contradiction_clause,[status(thm)],[f3039]) ).
fof(f3081,plain,
( e12 = e11
| ~ spl0_46
| ~ spl0_45 ),
inference(forward_demodulation,[status(thm)],[f632,f629]) ).
fof(f3082,plain,
( $false
| ~ spl0_46
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f3081,f215]) ).
fof(f3083,plain,
( ~ spl0_46
| ~ spl0_45 ),
inference(contradiction_clause,[status(thm)],[f3082]) ).
fof(f3089,plain,
( e11 != op1(e13,e12)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f655,f161]) ).
fof(f3090,plain,
( ~ spl0_57
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f3089,f667,f654]) ).
fof(f3189,plain,
( h3(e12) != op2(e21,e22)
| ~ spl0_26
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f567,f1670]) ).
fof(f3190,plain,
( e22 != op2(e21,e22)
| ~ spl0_26
| spl0_188 ),
inference(forward_demodulation,[status(thm)],[f280,f3189]) ).
fof(f3192,plain,
( e12 != op1(e11,e11)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f502,f122]) ).
fof(f3200,plain,
( $false
| ~ spl0_26
| spl0_188
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f807,f3190]) ).
fof(f3201,plain,
( ~ spl0_26
| spl0_188
| ~ spl0_90 ),
inference(contradiction_clause,[status(thm)],[f3200]) ).
fof(f3202,plain,
( $false
| ~ spl0_57
| spl0_196
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f908,f2948]) ).
fof(f3203,plain,
( ~ spl0_57
| spl0_196
| ~ spl0_121 ),
inference(contradiction_clause,[status(thm)],[f3202]) ).
fof(f3224,plain,
( ~ spl0_113
| ~ spl0_81 ),
inference(split_clause,[status(thm)],[f3006,f881,f777]) ).
fof(f3225,plain,
( h3(e12) != op2(e23,e20)
| ~ spl0_50
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f645,f1653]) ).
fof(f3226,plain,
( e22 != op2(e23,e20)
| ~ spl0_50
| spl0_194 ),
inference(forward_demodulation,[status(thm)],[f280,f3225]) ).
fof(f3230,plain,
( e20 = e21
| ~ spl0_125 ),
inference(forward_demodulation,[status(thm)],[f1863,f1718]) ).
fof(f3231,plain,
( $false
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f3230,f218]) ).
fof(f3232,plain,
~ spl0_125,
inference(contradiction_clause,[status(thm)],[f3231]) ).
fof(f3235,plain,
( h3(op1(e10,e11)) != e22
| ~ spl0_70
| spl0_183 ),
inference(backward_demodulation,[status(thm)],[f742,f1681]) ).
fof(f3236,plain,
( h3(e12) != e22
| ~ spl0_6
| ~ spl0_70
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f502,f3235]) ).
fof(f3237,plain,
( e22 != e22
| ~ spl0_6
| ~ spl0_70
| spl0_183 ),
inference(forward_demodulation,[status(thm)],[f280,f3236]) ).
fof(f3238,plain,
( $false
| ~ spl0_6
| ~ spl0_70
| spl0_183 ),
inference(trivial_equality_resolution,[status(esa)],[f3237]) ).
fof(f3239,plain,
( ~ spl0_6
| ~ spl0_70
| spl0_183 ),
inference(contradiction_clause,[status(thm)],[f3238]) ).
fof(f3243,plain,
( h3(e10) != e20
| ~ spl0_8
| ~ spl0_72
| spl0_184 ),
inference(backward_demodulation,[status(thm)],[f509,f2865]) ).
fof(f3244,plain,
( ~ spl0_260
| ~ spl0_8
| ~ spl0_72
| spl0_184 ),
inference(split_clause,[status(thm)],[f3243,f1430,f508,f748,f1154]) ).
fof(f3245,plain,
( op1(e10,e11) != e10
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f509,f143]) ).
fof(f3274,plain,
( h3(e10) != h2(e13)
| ~ spl0_20
| spl0_187 ),
inference(backward_demodulation,[status(thm)],[f548,f1673]) ).
fof(f3275,plain,
( e20 != h2(e13)
| ~ spl0_20
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1586,f3274]) ).
fof(f3276,plain,
( e20 != e20
| ~ spl0_84
| ~ spl0_20
| spl0_187 ),
inference(forward_demodulation,[status(thm)],[f1766,f3275]) ).
fof(f3277,plain,
( $false
| ~ spl0_84
| ~ spl0_20
| spl0_187 ),
inference(trivial_equality_resolution,[status(esa)],[f3276]) ).
fof(f3278,plain,
( ~ spl0_84
| ~ spl0_20
| spl0_187 ),
inference(contradiction_clause,[status(thm)],[f3277]) ).
fof(f3287,plain,
( h3(e13) != op2(e23,e21)
| ~ spl0_55
| spl0_195 ),
inference(backward_demodulation,[status(thm)],[f661,f1651]) ).
fof(f3288,plain,
( e23 != op2(e23,e21)
| ~ spl0_55
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f1589,f3287]) ).
fof(f3289,plain,
( e23 != e23
| ~ spl0_119
| ~ spl0_55
| spl0_195 ),
inference(forward_demodulation,[status(thm)],[f901,f3288]) ).
fof(f3290,plain,
( $false
| ~ spl0_119
| ~ spl0_55
| spl0_195 ),
inference(trivial_equality_resolution,[status(esa)],[f3289]) ).
fof(f3291,plain,
( ~ spl0_119
| ~ spl0_55
| spl0_195 ),
inference(contradiction_clause,[status(thm)],[f3290]) ).
fof(f3437,plain,
( ~ spl0_4
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f3245,f495,f508]) ).
fof(f3533,plain,
( ~ spl0_114
| ~ spl0_50
| spl0_194 ),
inference(split_clause,[status(thm)],[f3226,f884,f644,f1184]) ).
fof(f3575,plain,
( e11 != op1(e11,e12)
| ~ spl0_17 ),
inference(backward_demodulation,[status(thm)],[f538,f147]) ).
fof(f3751,plain,
( h3(e12) = op2(h3(e13),h3(e10))
| ~ spl0_50
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f645,f1185]) ).
fof(f3752,plain,
( e22 = op2(h3(e13),h3(e10))
| ~ spl0_50
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f280,f3751]) ).
fof(f3753,plain,
( e22 = op2(e23,h3(e10))
| ~ spl0_50
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1589,f3752]) ).
fof(f3754,plain,
( e22 = op2(e23,e20)
| ~ spl0_50
| ~ spl0_194 ),
inference(forward_demodulation,[status(thm)],[f1586,f3753]) ).
fof(f3755,plain,
( h3(e11) != op2(e21,e20)
| ~ spl0_17
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f538,f1675]) ).
fof(f3756,plain,
( e21 != op2(e21,e20)
| ~ spl0_17
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f1588,f3755]) ).
fof(f3757,plain,
( e21 != e21
| ~ spl0_81
| ~ spl0_17
| spl0_186 ),
inference(forward_demodulation,[status(thm)],[f778,f3756]) ).
fof(f3758,plain,
( $false
| ~ spl0_81
| ~ spl0_17
| spl0_186 ),
inference(trivial_equality_resolution,[status(esa)],[f3757]) ).
fof(f3759,plain,
( ~ spl0_81
| ~ spl0_17
| spl0_186 ),
inference(contradiction_clause,[status(thm)],[f3758]) ).
fof(f3876,plain,
( h3(e11) != op2(e22,e21)
| ~ spl0_37
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f603,f1664]) ).
fof(f3877,plain,
( e21 != op2(e22,e21)
| ~ spl0_37
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f1588,f3876]) ).
fof(f3878,plain,
( e21 != e21
| ~ spl0_101
| ~ spl0_37
| spl0_191 ),
inference(forward_demodulation,[status(thm)],[f843,f3877]) ).
fof(f3879,plain,
( $false
| ~ spl0_101
| ~ spl0_37
| spl0_191 ),
inference(trivial_equality_resolution,[status(esa)],[f3878]) ).
fof(f3880,plain,
( ~ spl0_101
| ~ spl0_37
| spl0_191 ),
inference(contradiction_clause,[status(thm)],[f3879]) ).
fof(f3906,plain,
( e22 != op2(e23,e20)
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f1379,f1883]) ).
fof(f3907,plain,
( e22 != e22
| ~ spl0_50
| ~ spl0_194
| ~ spl0_247 ),
inference(forward_demodulation,[status(thm)],[f3754,f3906]) ).
fof(f3908,plain,
( $false
| ~ spl0_50
| ~ spl0_194
| ~ spl0_247 ),
inference(trivial_equality_resolution,[status(esa)],[f3907]) ).
fof(f3909,plain,
( ~ spl0_50
| ~ spl0_194
| ~ spl0_247 ),
inference(contradiction_clause,[status(thm)],[f3908]) ).
fof(f3915,plain,
( ~ spl0_22
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f3192,f553,f501]) ).
fof(f3916,plain,
( ~ spl0_25
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f3575,f563,f537]) ).
fof(f4075,plain,
( e11 = e10
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_demodulation,[status(thm)],[f564,f561]) ).
fof(f4076,plain,
( $false
| ~ spl0_25
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f4075,f212]) ).
fof(f4077,plain,
( ~ spl0_25
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f4076]) ).
fof(f4078,plain,
$false,
inference(sat_refutation,[status(thm)],[f494,f598,f624,f689,f694,f699,f707,f708,f709,f711,f717,f718,f719,f721,f734,f747,f825,f864,f890,f930,f931,f934,f937,f938,f939,f940,f941,f942,f943,f946,f947,f948,f949,f954,f956,f957,f965,f970,f976,f980,f985,f990,f996,f1000,f1220,f1297,f1298,f1302,f1307,f1313,f1317,f1322,f1327,f1332,f1333,f1345,f1409,f1429,f1433,f1453,f1473,f1493,f1529,f1534,f1535,f1539,f1544,f1549,f1550,f1554,f1555,f1559,f1564,f1566,f1567,f1568,f1570,f1571,f1572,f1574,f1575,f1576,f1577,f1578,f1580,f1597,f1604,f1611,f1615,f1621,f1624,f1627,f1640,f1662,f1692,f1704,f1726,f1732,f1735,f1741,f1744,f1747,f1750,f1753,f1759,f1762,f1768,f1771,f1774,f1780,f1792,f1801,f1807,f1810,f1816,f1822,f1831,f1834,f1841,f1908,f1913,f1918,f1923,f1928,f1934,f1947,f1965,f1969,f2003,f2007,f2150,f2155,f2158,f2160,f2164,f2193,f2208,f2226,f2252,f2258,f2265,f2317,f2322,f2332,f2341,f2349,f2374,f2385,f2390,f2392,f2404,f2421,f2441,f2445,f2450,f2463,f2472,f2507,f2551,f2557,f2573,f2582,f2588,f2598,f2600,f2621,f2660,f2674,f2685,f2690,f2694,f2699,f2716,f2733,f2745,f2752,f2754,f2775,f2791,f2812,f2827,f2834,f2896,f2900,f2932,f2934,f2946,f2951,f2953,f2966,f2970,f2984,f2988,f3000,f3015,f3040,f3083,f3090,f3201,f3203,f3224,f3232,f3239,f3244,f3278,f3291,f3437,f3533,f3759,f3880,f3909,f3915,f3916,f4077]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG110+1 : TPTP v8.1.2. Released v2.7.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 23:04:33 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.17/0.54 % Refutation found
% 0.17/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.47/0.55 % Elapsed time: 0.213816 seconds
% 1.47/0.55 % CPU time: 1.523191 seconds
% 1.47/0.55 % Total memory used: 43.617 MB
% 1.47/0.55 % Net memory used: 42.283 MB
%------------------------------------------------------------------------------